Answer:
Rational number
Step-by-step explanation:
Rational numbers repeat and terminate. The square root of 9 is 3, and 3 is a whole number as well as a number that terminates, which makes it a rational number
Select all that apply. Which ratios are
equivalent to 4:5?
7:8
8:10
12:15
14:15
Answer:
12:15 and 8:10
Step-by-step explanation:
PLEASE HELP!!! I NEED HELP ASAP
Answer:
y = 6x
Explanation:
This question is asking you to write a linear equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
The y-intercept (where the line crosses the y-axis) is visibly 0. As for the slope, you can take two points, I'll use (0,0) and (0.1,0.6) to calculate it.
Slope = y - y/x- x
Slope = (0.6 - 0)/(0.1 - 0) = 0.6/0.1 = 6
Plug in 0 for b and 6 for m and you have an equation.
y = 6x + 0
y = 6x
Answer: y = 6x
Step-by-step explanation: To find the equation you use the form y=mx+b, m is the slope meaning the rise of the function over the run of the function. This function rises 0.6 in terms of y in the time it takes to move or “run” over 0.1 in terms of x. so it would be 6/10 divided by 1/10. which leaves you with 6. b stands for the y-intercept which in this case it crosses the y-axis at zero so it would be zero. so putting it together you would have y=6x
What are all the figures that are polygons? Please help.
Answer:
Im pretty sure they are
Step-by-step explanation:
Answer:A, C, and F
Step-by-step explanation: A requirement for a polygon is that its a polygon which basically means no gaps or missing sides and only A, C, and F serve those requirements
solve the equation
pic:
The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891
How to solve the equationFrom the question, we have the following parameters that can be used in our computation:
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)
Using the following trigonometry ratio
sin²(x) + cos²(x) = 1
We have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)
The sum to infinity of a geometric series is
S = a/(1 - r)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)
Evaluate the sum
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)
This gives
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)
Hence, the solution to the equation is 10.3891
Read more about summation notation at
brainly.com/question/15973233
#SPJ1
Reagan just received a new soccer ball that she ordered in the mail. The spherical soccer ball
arrived in a box shaped like a rectangular prism, and the remaining space inside the box was
filled by packing material. The box is 14 inches long, 11 inches wide, and 10 inches tall. If the
soccer ball has a diameter of 8.7 inches, what was the volume of space in the box filled by
packing material?
Answer:
1540 square in-17.4π in
Step-by-step explanation:
The box's area is 1540 square inches, and the volume of a sphere is 4πr. So we do 4*π*r, which is 4π*4.35, and simplify it to 17.4π. Then we subtract that from the 1540 square in to get the final answer of 1540-17.4π
Reference: π is approximately 3.1415926
Divide 15x5-3x³-9x² by -3x².
choices:
12x³ - 6x - 12
-5x³ - 6x + 3
−5x3 + X + 3
-5x³ + x-3
Answer:
(C) −5x^3 + x + 3.
Step-by-step explanation:
To divide 15x^5 - 3x^3 - 9x^2 by -3x^2, we can follow these steps:
Divide the coefficient of the first term by the coefficient of the divisor: (-15x^5) / (-3x^2) = 5x^3.
Multiply the divisor by the quotient obtained in step 1: -3x^2 * 5x^3 = -15x^5.
Subtract the product obtained in step 2 from the dividend: 15x^5 - (-15x^5) = 30x^5.
Repeat steps 1 to 3 for the next term: (-3x^3) / (-3x^2) = x, -3x^2 * x = -3x^3, -3x^3 - (-3x^3) = 0.
Repeat steps 1 to 3 for the last term: (-9x^2) / (-3x^2) = 3, -3x^2 * 3 = -9x^2, -9x^2 - (-9x^2) = 0.
Therefore, the result of the division is:
5x^3 + 0x + 3
Simplifying the expression, we get:
5x^3 + 3
Therefore, the correct answer is (C) −5x^3 + x + 3.
Answer:
C:−5x3 + X + 3
Step-by-step explanation:
I took the test and got it right
how do you handle data in analytics to gain greater insights into our audience's behaviour? a partition b sample c segment d extract
By using the segment method, you handle data in analytics to gain greater insights into our audience's behavior.
Analytics:
Analytic refers the field of computer science that uses math, statistics, and machine learning to find meaningful patterns in data.
Given,
Here we need to find how do you handle data in analytics to gain greater insights into our audience's behavior.
In order to find the solution for this one, we must know the definition for the terms of the following,
Audience's behavior - attitudes that affect the behavior of an audience towards a brand or category.
Data - information that has been translated into a form that is efficient for movement or processing.
Insights - the capacity to gain an accurate and deep understanding of someone or something.
Here we have divide the full question into segment to solve this.
To know more about Analytics here.
https://brainly.com/question/17838131
#SPJ4
2/3y + 15 = 9
What are the steps for this question
Answer:
see below
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 from each side
2/3y + 15-15 = 9-15
2/3y = -6
Multiply each side by 3/2 to isolate y
3/2 * 2/3y = -6 *3/2
y = -9
Answer:
y = - 9
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 on both sides.
2/3y = 9 - 15
2/3y = - 6
Multiply both sides by 3/2.
y = - 6 × 3/2
y = -18/2
y = -9
Rocky Mountain Tire Center sells 10,000 go-cart tires per year. The ordering cost for each order is $35, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $25 per tire if fewer than 200 tires are ordered,$17 per tire if 200 or more, but fewer than 8,000, tires are ordered, and $13 per tire if 8,000 or more tires are ordered.
a) How many tires should Rocky Mountain order each time it places an order?
b) What is the total cost of this policy?
a) Rocky Mountain should order 200 tires each time it places an order.
b) The total cost of this policy is $17,160.
a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:
If fewer than 200 tires are ordered: The purchase price is $25 per tire.
If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.
If 8,000 or more tires are ordered: The purchase price is $13 per tire.
Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.
b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:
Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200
Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950
Therefore, the total cost of this policy is $40,950.
Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.
To know more about time, visit
https://brainly.com/question/27792043
#SPJ11
817 inhabitants live in a village. Of them, 241 are children.
Of the adults, there are 56 more women than men in the village.
How many men live in the village?
The number of men living in the village is 260.
How do you solve a linear equation system?A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:
\(ax + by = c\)
Given:
Total inhabitants in the village: 817
Number of children: 241
There are 56 more women than men in the village
Total adults = Total inhabitants - Number of children
Total adults = 817 - 241
Total adults = 576
Let number of men in the village be 'x' and number of women in the village be 'y',
∴ y=x+56 (given) ..................(1)
Also, x+y=576 .................(2)
From equation (1) and (2),
x + (x + 56) = 576
2x + 56 = 576
2x = 576 - 56
2x = 520
x = 520 / 2
x = 260
Learn more about linear equations here:
brainly.com/question/29739212
#SPJ1
Pls help me. To be submitted tomorrow
Answer:
The value of your equation would be 371/30
Step-by-step explanation:
Given tanθ=8/15 - -(1)
sec^2θ
= 1+tan^2θ
= 1+(8/15)^2
= 1+64/225
= 225+64/225
= 289/225
=17^2+15^2
Now, secθ = \(\sqrt{\frac{17^2}{15^2} }\)
= 17/15
Cosθ = 15/17 - -(2)
Value of sinθ+cosθ/cosθ(1-cosθ)
Dividing numerator and denominator by cosθ, we get
= sinθ+cosθ/cosθ/cosθ(1-cosθ)/cosθ
= (sinθ/cosθ+cosθ/cosθ)/(1-cosθ)
= tanθ - 1/1-cosθ
= 8/15 + 1/1-15/17
= 8+15/15/17-15/17
= 23/15/2/17
= 23/15 x 17/2
= 371/30
Hope this helps!
A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2×1010
gallons, and pool B held 2×108
gallons. How many times more gallons will the larger pool hold than the smaller pool?
Responses
4
20
100
200 Please help im really slow rn tbh giving 40 points thank you
\(\huge\mathcal{\fcolorbox{Aqua}{azure}{\red{➳Answer}}}\)
The larger pool will hold is 100 times more gallons than the smaller pool
From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool.
From the given information,
Capacity of the larger pool = 2 × 10¹⁰ gallons
Capacity of the smaller pool = 2 × 10⁸ gallons
we will simply divide the capacity of the larger pool by the capacity of the smaller pool.
That is,
2×10^10÷2×10^8
=10^2
=100
Thus, the answer is 100 times
Hope it helps you
Mark the above user as brainliest
\(\red{\rule{200pt}{5pt}}\)
\(\bold{Thank~you~:)}\)
The perimeter of a rectangular field is 312m. If the width of the field is 61m,what is the length.
Answer:
95m
Step-by-step explanation:
312 - 61 - 61 = 190
190/2 = 95
Two boats, originally 35 km apart, sail toward each other. The
first goes at a speed of 8.5 kph. The second goes at a speed of
5.5 kph. How long until they meet? Hint: your answer will be a
decimal.
The will meet after 2.5 hour.
To solve for distance use the formula for distance d = st, or distance equals speed times time.
distance = speed x time
Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.
distance = rate x time
To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.
speed = distance/time
To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
time = distance/speed
let say they will meet after time t.
distance covered by first boat = velocity of boat × time= 8.5t
distance covered by second boat= 5.5t
distance between both boats = 35km.
by equating both the distance
35km = 8.5t+5.5t
35km = 14t
t= 35÷14 =2.5 hour= 9020.618 seconds.
To know more about distance and time
visit-: https://brainly.com/question/13269893
SPJ9
Compute each flux integral ∫S F. dA . (a) F(x,y,z) = (2, 3, -5) and S is a disk of radius 1 in the plane x+y+z=1, oriented upward. (b) F(x, y, z) = (x, y, 32) and S is the cone z = √x2 + y2 with x2 + y^2 < 1, x > 0, y > 0, oriented upward. (c) F(x,y,z) = (x,y,z) and S is the cylinder x^2 + y^2 = 1 with x > 0, y > 0, 0
Given that:(a) F(x, y, z) = (2, 3, -5) and S is a disk of radius 1 in the plane x+y+z=1, oriented upward.(b) F(x, y, z) = (x, y, 32) and S is the cone z = √x2 + y2 with x2 + y2 < 1, x > 0, y > 0, oriented upward.(c) F(x,y,z) = (x,y,z) and S is the cylinder x2 + y2 = 1 with x > 0, y > 0, 0.By using the formula $\int_S F . dA$, we can calculate the flux of the given vector field.Step-by-step explanation:(a)The vector field is given as F(x, y, z) = (2, 3, -5) and the surface is a disk of radius 1 in the plane x+y+z=1, oriented upward.The equation of the plane is x + y + z = 1 => z = 1 - x - yThe gradient of the surface, S is:∇S = ∇(z) = i + j + kNormal to the surface = ∇S/|∇S| = (i + j + k)/√3On the plane, the unit normal vector is given by,n = (1/√3)(i + j + k)The vector field F is a constant vector field, F(x, y, z) = (2, 3, -5).Let us substitute the values of F and n in the formula of the flux, we get$\int_S F . dA$ = $\int_S (2, 3, -5) . (1/√3)(i + j + k) dA$=$\frac{1}{\sqrt{3}} \int\int_S (2, 3, -5) . (i + j + k) dxdy$= $\frac{1}{\sqrt{3}} \int\int_S (2+i+3j-5k) dxdy$The surface S is a disk of radius 1 centered at the origin,So, the limits of integration will be $-1 \leq x \leq 1$ and $-\sqrt{1-x^2} \leq y \leq \sqrt{1-x^2}$, because the surface lies in the plane z = 1 - x - y.Substituting these limits, we get,= $\frac{1}{\sqrt{3}} \int_{-1}^{1} \int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}} (2+i+3j-5k) dydx$= $\frac{1}{\sqrt{3}} \int_{-1}^{1} \left[ (2+i+3j-5k) \int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}} dy\right] dx$= $\frac{1}{\sqrt{3}} \int_{-1}^{1} \left[ 2\sqrt{1-x^2}+i(2\sqrt{1-x^2})+3j(2\sqrt{1-x^2})-5k(2\sqrt{1-x^2}) \right] dx$= $\frac{1}{\sqrt{3}} \int_{-1}^{1} \left[ (2-5\sqrt{1-x^2})k+(2+3\sqrt{1-x^2})j+i(2\sqrt{1-x^2}) \right] dx$= $\frac{1}{\sqrt{3}} \left[ \int_{-1}^{1} (2\sqrt{1-x^2}) dx \right]$ (since k and j are perpendicular to the xy-plane, the integrals of their components are zero)= $\frac{1}{\sqrt{3}} \left[ 2\int_{-1}^{1} \sqrt{1-x^2} dx \right]$ (multiplying by 2 to cover the other half)= $\frac{1}{\sqrt{3}} \left[ \pi \right]$ (Let $x=\sin\theta$, then $dx=\cos\theta d\theta$)So, the required flux of the vector field F(x, y, z) = (2, 3, -5) through the disk of radius 1 in the plane x+y+z=1, oriented upward is $\pi/\sqrt{3}$.
For more question like Flux visit the link below:
https://brainly.com/question/16902648
#SPJ11
expressions equal to 12n - 8 :)
Answer:
4(3n-2)
2(6n-4)
Step-by-step explanation:
4(3n-2)= 12n-8
2(6n-4)= 12n-8
All relationships have equal weight; none is stronger than any other. true or false?
False. While all relationships should be valued and respected, it's unrealistic to say that they all have equal weight. Some relationships may be closer and more intimate than others, or may require more time and energy to maintain.
Additionally, some relationships may have greater consequences or impact on our lives than others. It's important to prioritize and nurture our relationships based on their individual significance and value to us.
In the context of relationships, the term "weight" refers to the importance or influence of a particular relationship. Not all relationships have equal weight because the significance of each relationship varies based on factors such as trust, communication, shared experiences, and emotional connections.
Some relationships are naturally stronger and more influential than others due to these factors, making them more valuable and impactful in a person's life. In contrast, weaker relationships may not have the same level of trust, connection, or influence, making them less important overall. It is essential to recognize and nurture the stronger relationships in one's life to maintain a healthy support system and overall well-being.
To learn more about Weight - brainly.com/question/10069252
#SPJ11
Solve by elimination
show your work
y = 3x + 10
y = 2x - 8
im giving brainlyest
Answer:
\(x=-18, y=-44\)
Step-by-step explanation:
\(y=3x+10\\y=2x-8\\\\3x+10=y\\2x-8=y\\3x-y=-10\\2x-y=8\\\\-2(3x-y=-10)\\3(2x-y=8)\\\\-6x+2y=20\\6x-3y=24\\-y=44\\y=-44\\-44=3x+10\\-54=3x\\x=\frac{-54}{3} \\x=-18\\\\x=-18, y=-44\\\)
CHECK
\(-44=3(-18)+10\\-44=-54+10\\-44=-44\\\\-44=2(-18)-8\\-44=-36-8\\-44=-44\)
define at least three (3) sources of experimental uncertainties for the experiments and explain specifically how each would have affected the accuracy of the data.
By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.
Experimental uncertainties refer to the errors or variations that may occur in the process of conducting an experiment. There are several sources of experimental uncertainties that can affect the accuracy of the data, specifically:
1. Instrument uncertainties: These uncertainties arise from the limitations of the instruments used in the experiment. For example, if a measuring device has a limited resolution or if it is not properly calibrated, it can lead to inaccuracies in the measurements.
2. Operator uncertainties: These uncertainties arise from the variations in the way different people conduct the experiment. For example, if different people are measuring the same quantity, they may have different techniques, which can lead to variations in the measurements.
3. Environmental uncertainties: These uncertainties arise from the variations in the environment in which the experiment is conducted. For example, if the temperature or pressure of the environment changes during the experiment, it can affect the measurements.
Each of these sources of experimental uncertainties can affect the accuracy of the data by introducing errors or variations in the measurements. By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.
Learn more about Uncertainties
brainly.com/question/14889571
#SPJ11
DUE TODAY BEING HOEST PLs HELLP :(
Triangle KLM repreent a ection of a park et aide for picnic table. The picnic area will take up approximately 400 quare yard in the park. Triangle K L M i hown. The length of K M i 45 yard and the length of L M i 20 yard. Angle L K M i 25 degree. Trigonometric area formula: Area = One-half a b ine (C)
To the nearet yard, what amount of fencing i needed to urround the perimeter of the picnic area?
95 yard
107 yard
160 yard
190 yard
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
Learn more about the perimeter of a triangle at
brainly.com/question/3757003
#SPJ4
Answer: b
Step-by-step explanation:
A circle has a circumference of 452.16 units. What is the radius of the circle?
Answer:
r =71.96 or 72
Step-by-step explanation:
C=2\(\pi\)r
452.16=2\(\pi\)r
divide by 2\(\pi\)
71.96 =r
Find the 63rd term of the arithmetic sequence 2,9,16
Answer:
a₆₃ = 436Step-by-step explanation:
\(a_1=2\\a_2=9\\d=a_2-a_1=7\\\\a_n=a_1+d(n-1)\\\\a_{63}=2+7(63-1)=2+7(62)=2+434=436\)
The 63rd term of the given arithmetic progression is 436.
What is an Arithmetic progression?
An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant. A sequence -
a₁ , a₂, a₃ , a₄ ...... aₙ
will be an arithmetic progression if -
a₂ - a₁ = a₃ - a₂ = a₄ - a₃ = d (constant) is called common difference of A.P. and a₁ = 'a' as the first term.
Given is the following sequence -
2, 9, 16, ..... nth term
First term [a] = 2
common difference [d] = 9 - 2 = 7
We can calculate the nth term of an A.P. using the formula -
a[n] = a + (n - 1)d
a[63] = a + (63 - 1) d
a[63] = 2 + 62 x 7
a[63] = 2 + 434
a[63] = 436
Therefore, the 63rd term of the given arithmetic progression is 436.
To solve more questions on Arithmetic progression , visit the link below-
brainly.com/question/26064016
#SPJ5
Jackie runs and dances for 75 minutes every day.
She dances 25 minutes more than she runs.
Part A: Write a pair of linear equations to show the relationship between the number of minutes
runs (x) and the number of minutes she dances (y) every day.
Part B: How much time does Jackie spend running every day? Show your work.
Part C: What is the greatest amount of time she could spend dancing every day, given she will take a
run.
Explain your reasoning.
PLEASE HELP DUE SOON!
Answer:
A. y = x + 25
x + y = 75
B. 25 minutes
C. 50 minutes
Step-by-step explanation:
Define the variables:
Let x = the number of minutes Jackie runs every day.Let y = the number of minutes Jackie dances every day.Part AIf Jackie dances 25 minutes more than she runs:
\(\implies y=x+25\)
If Jackie runs and dances for 75 minutes:
\(\implies x+y=75\)
Part BSubstitute the first equation into the second equation and solve for x:
\(\implies x+(x+25)=75\)
\(\implies 2x+25=75\)
\(\implies 2x+25-25=75-25\)
\(\implies 2x=50\)
\(\implies 2x\div 2=50 \div 2\)
\(\implies x=25\)
Therefore, Jackie spends 25 minutes running everyday.
Part CSubstitute the found value of x into the first equation and solve for y:
\(\implies y=25+25\)
\(\implies y=50\)
Therefore, the greatest amount of time Jackie could spend dancing every day, given she will take a run, is 50 minutes.
explain in words how do you divide a fraction by a whole number
Answer:
Step-by-step explanation:
whole number over one
flip the whole number under one
multiply that times the fraction
simplify answer if neccesary
ex:
1/2 / 3
1/2 / 3/1
1/2 / 1/3
1/2 x 1/= 1/6
how can you use an inequality to describe a real life statement
An inequality is a mathematical statement that uses symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to compare two quantities. In real life, we can use inequalities to describe a wide range of situations. For example, let's say you are buying groceries and you have a budget of $50. You could use the inequality total cost of groceries < $50 to describe your situation. This inequality states that the total cost of the groceries must be less than $50, or you will exceed your budget.
In another real life situation, let's say you are training for a race and you want to run a certain distance in a specific amount of time. You could use the inequality distance > speed × time to describe your goal. This inequality states that the distance you run must be greater than the product of your speed and the time it takes you to complete the race. Inequality statements can also be used in social science and economics. For example, we can use an inequality to describe the income distribution in a society. We could say that the top 10% of earners have an income greater than the bottom 90% of earners, using the inequality top 10% income > bottom 90% income.
In summary, inequalities can be used to describe real life situations by comparing two quantities using symbols such as <, >, ≤, or ≥. We can use inequalities to describe a wide range of situations, from grocery shopping to income distribution.
To know more inequality about :-
https://brainly.com/question/31117186
#SPJ11
Write a numerical expression Add 8 and 7 and then multiply by 2 ? Guys i need help ASAP please write a numerical expression HELP ME brainlest
Answer:
30
Explanation
Add 8 and 7. 8 + 7 = 15. 15 x 2 is 30
Answer:
the answer will be 30
Step-by-step explanation:
Add 8 and 7. 8 + 7 = 15. 15 x 2 is 30
can I get help with this
Answer:2
Step-by-step explanation:
Answer:
1.375 is the answer
Step-by-step explanation:
We can use the rule PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).) to solve this!
= 9+6*(1)/(7+9)-8
= 9+6*1/(7+9)-8
= 9+6*1/(16)-8
= 9+6*1/16-8
= 9+6/16-8
= 9+0.375-8
= 9.375-8
= 1.375
A plastic pool gets filled up with 10L of water per hour.
a) After 2 hours how much water is in the pool? Write an equation.
b) After how many hours will the pool be 80L?
c) Is part b) linear or nonlinear?
a) The amount of water in the pool after 2 hours can be calculated using the equation.
Water in pool = 10L/hour × 2 hours = 20L.
b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.
Solving for Time, we find Time = 8 hours.
c) Part b) is linear.
a) To calculate the amount of water in the pool after 2 hours, we can use the equation:
Water in pool = Water filling rate × Time
Since the pool gets filled up with 10L of water per hour, we can substitute the values:
Water in pool = 10 L/hour × 2 hours = 20L
Therefore, after 2 hours, there will be 20 liters of water in the pool.
b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:
Water in pool = Water filling rate × Time
We want the water in the pool to be 80 liters, so the equation becomes:
80L = 10 L/hour × Time
Dividing both sides by 10 L/hour, we get:
Time = 80L / 10 L/hour = 8 hours
Therefore, it will take 8 hours for the pool to contain 80 liters of water.
c) Part b) is linear.
The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.
Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.
For similar question on amount.
https://brainly.com/question/25720319
#SPJ8
The answer options are the 4 options given for all the answers, all of those options contain the right answer for part of the problem but need to be put in their correct place.
Part A. When we have two chords that intercept at one of the exterme points of a circle, like this:
Then the relationship between the minor arc and the interior angle of the chords is:
\(y=\frac{1}{2}x\)therefore, if we substitute according to the given circle we have:
\(a=\frac{150}{2}=75\)Therefore, angle a is 85°.
Part B. The angle formed by a tangent and a chord of a circle is half the the arc that is formed:
We have that:
\(y=\frac{1}{2}x\)Now, we substitute:
\(b=\frac{1}{2}(210)=105\)Therefore, "b" is 105°.
Part C. Given the following configuration:
The following relationship holds:
\(ab=cd\)Now, we substitute the values according to the given circle:
\((13)(c)=(16)(11)\)Now, we divide both sides by "c":
\(c=\frac{(16)(11)}{(13)}=13.5\)Therefore, the value of "c" is 13.5
Part D. In the following configuration:
The following relationship holds:
\(x=\frac{1}{2}(x+z)\)Now, we substitute the values:
\(d=\frac{1}{2}(85+75)\)Solving the operations:
\(d=80\)therefore, the angle "d" is 80 degrees.