The unit rate of the linear equation y = 8x is 8.
What is the unit rate of a linear equation?A linear equation of a function illustrates the straight line on a coordinate plane. It can be expressed in a slope intercept form y = mx + b, where:
m = slopeb = y-interceptThe slope shows steep the gradient is and it is the change in the rise over the run. For a unit rate which is usually the ratio between two different quantities. We can say in the linear equation, the unit rate represents the slope of the function.
Given that:
y = 8x
To find the unit rate(slope) which is the change in the y-axis(rise) over the change in the x-axis(run) by using slope-intercept form. Then, we can conclude that the unit rate is 8.
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A triangle with which angle types could be constructed?
A. two right angles
B. an obtuse angle and an acute angle
C. an obtuse angle and a right angle
D. two obtuse angles
Answer:
B is the answer.
Step-by-step explanation:
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Triangles cannot have two 90 degrees because that would add up to 180 and triangles need 3 angles to add to 180
You can't have an obtuse angle and a right angle. say the obtuse angle was 110, and a right angle is 90. 110 + 90 is more than 180.
Two obtuse angles would be more than 180.
This leaves us with B being correct, because you can have an obtuse angle and an acute angle, and it can be less than 180 degrees.
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What is the shape of the distribution for the following set of data? scores: 1, 2, 3, 3, 4, 4, 4 5, 5, 5, 5, 6
The shape of the distribution for the given set of data is positively skewed.
A positively skewed distribution is characterized by a long tail on the right side of the distribution. In this case, the mode (most frequently occurring value) is 5, while the values 1, 2, 3, 4, and 6 have fewer occurrences. This creates a longer tail on the right side of the distribution, indicating a positive skew.
The data is skewed towards the higher end, or right-skewed with a higher frequency towards the higher scores.. The frequency decreases as we move towards the lower scores.
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A formula containing the entry =j$7 is copied to a cell three columns to the right and four rows down. how will the entry display in its new location?
In its new location, the entry will display as =M$7.
When a formula containing the entry =J$7 is copied to a cell three columns to the right and four rows down, certain adjustments occur. The entry has a dollar sign ($) before the row number, which means the row reference remains fixed during copying, while the column reference adjusts relatively.
For the row adjustment, copying four rows down from J$7 results in the new row reference being 7 + 4 = 11.
For the column adjustment, copying three columns to the right from J$7 means that the column reference moves three letters to the right, resulting in the new column reference being M.
Combining the adjusted row and column references, we get =M$7 as the entry displayed in its new location.
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What kind of angle measures greater that 90° but less than 180°?
I need the answer ASAP. Thank you in advance.
Answer:
obtuse angle
Step-by-step explanation:
there isn't an explanation but smaller than 90⁰ is an acute angle bigger tHan 90⁰ and smaller than 180⁰ is obtuse like I said above
Find the value of x so that the ratios are equivalent.
9:x and 54:8
x = [ ]
Step-by-step explanation:
hello,
in fraction form, 9:x = 9/x
and 54:8 = 54/8
to find the multiplier, simply divide 54 by 9 thus,
54/9 = 6
hence, 9 * 6 = 54
x * 6 = 8
x = 8/6
x = 4/3
hope this helps you! au revoir!
Please help meeee! Tysm
How many solutions y= -2x -4 and y=3x plus 3
Answer:
The number of solutions is one
Step-by-step explanation:
Here, we want to get the number of solutions
since the linear equations are not the same, neither do they have the same x-variable, we can have only one solution
Please help me I’ll will be marking brainliest please
Answer:
it would cost $34.50 to purchase 7.5 lbs of walnuts.
Answer:
$34.50
Step-by-step explanation:
First find out how much 1/4 of a lb will cost.
3.45/3= 1.15
This is the cost for only 1/4 a lbs of chopped walnuts. Take this number and multiply it by 4 to find how much it would cost for 1 whole pound of walnuts.
1.15x4= 4.60
It costs $4.60 for a whole pound of walnuts. If you are trying to find how much it costs for 7.5 lbs, then multiply 4.60 by 7.5.
4.60x7.5= 34.5
For 7.5 lbs of walnuts will cost $34.50
SOLVE THE INEQULITY 4X-7<5
Step-by-step explanation:
the answer is
4x-7<5
4x<12
x<3
I need help with this please. Evaluate 5a+ 4b2 when a = 7 and b = 6
What is the base number in which the following is correct? (a) 12×4=52 (b) 24×17=40 (c) 3
75
=26 (bonus). (d) 2
7.3
=3.6 (bonus). (e) (x 2
−13x+32=0)⇒(x=5,x=4)
There is no base number that satisfies the given equations, because none of the equations are correct.
The correct equations are:
(a) 12 × 4 = 48(b) 24 × 17 = 408
(c) 375 ÷ 3 = 125(d) 2^7.
3 is not equal to 3.6(e) (x^2 - 13x + 32) = (x - 5)(x - 8)
Therefore, x = 5 or x = 8.
To find the value of 2^7.3 on a calculator, you would use the exponent function.
For example, on a standard calculator, you would enter 2, then press the exponent key (^), then enter 7.3, and press equals.
This will give you an answer of approximately 128.22.
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Find 2/5(-3.75). Write your answer as a mixed number in simplest form.
Answer:
- 1 \(\frac{1}{3}\)
Step-by-step explanation:
-3.75 can be written as a fraction as -3 \(\frac{75}{100}\) o r-3 \(\frac{3}{4}\) if I divide the numerator and the denominator by 25.
\(\frac{2}{5}\) (-3 \(\frac{3}{4}\))
We can change -3 \(\frac{3}{4}\) into an improper fraction. We can do that a few ways but I am going to the it the way that is most intuitive to me.
another name for 1 is \(\frac{4}{4}\) because 4 ÷ 4 = 1. I am going to use that knowledge to convert -3 \(\frac{3}{4}\) into a mixed number.
-( \(\frac{4}{4}\) + \(\frac{4}{4}\) + \(\frac{4}{4}\) + \(\frac{3}{4}\)) = - \(\frac{15}{4}\) The negative sign can go in the numerator, denominator or in front to the fraction to show that the number is negative.
\(\frac{2}{5}\) x -\(\frac{15}{4}\) = - \(\frac{30}{20}\) Divide the numerator and the denominator by 10
= \(\frac{3}{2}\)
Which means the same thing as -( \(\frac{2}{2}\) + \(\frac{1}{3}\) ) which means the same thing as -(1 + \(\frac{1}{3}\) +or - 1 \(\frac{1}{3}\)
2 more leftttt yay help
Answer:
25%
Step-by-step explanation:
1/4 is 25% of 4 areas please Brainliest
which graph shows the solution to the system of linear equations?
y=-1/3x+1
y=-2x-3
y = -1/3x + 1
y = -2x - 3
We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.
The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.
The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.
Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.
Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.
Alvin and his friends set out to sea on their annual fishing trip. There is a proportional relationship between the time (in hours) Alvin and his friends spend sailing, x, and their distance from shore (in miles), y.
After sailing for 2 hours, Alvin and his friends are 10 miles from shore. Write the equation for the relationship between x and y.
y =
Now, use your equation to find their distance from shore after sailing for 3 hours.
Answer:From the given information, we know that after sailing for 2 hours, Alvin and his friends are 10 miles from shore. This can be written as y = 10 when x = 2.
Since there is a proportional relationship between x and y, we can write an equation using this information: y = kx, where k is the proportionality constant.
Substituting the known values, we get: 10 = k * 2
Solving for k, we get: k = 10/2 = 5
So, the equation relating x and y is: y = 5x
To find their distance from shore after sailing for 3 hours, we can plug in x = 3 into the equation:
y = 5x
y = 5 * 3
y = 15
So, after sailing for 3 hours, Alvin and his friends are 15 miles from shore.
Step-by-step explanation:
If the cost of carpeting a floor is $2. 50 per square foot, how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet?
It will cost $300 to carpet a rectangular floor that is 10 feet by 12 feet.
The cost of carpeting a rectangular floor, we need to determine the area of the floor and multiply it by the cost per square foot.
The area of a rectangle is found by multiplying its length by its width. In this case, the length is 10 feet and the width is 12 feet.
Area = Length × Width Area
Area = 10 feet × 12 feet Area
Area = 120 square feet
Now, we can calculate the cost of carpeting by multiplying the area by the cost per square foot
Cost = Area × Cost per square foot Cost
Cost = 120 square feet × $2.50 per square foot
Cost = $300
Therefore, it will cost $300 to carpet a rectangular floor that is 10 feet by 12 feet.
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Write a quadratic function h whose zeros are -2 and -8.
The required quadratic function is h(x) = x² + 10x + 16
Quadratic function:The formula given is the quadratic equation in terms of its roots. The roots of a quadratic equation are the values of x that satisfy the equation and make it equal to zero. The formula is given by
f(x) = x² - (Sum of roots)x + (product of roots)
Here we have
Zeros of the function h are -2 and -8
As we know the formula for the quadratic equation is of the form:
f(x) = x² - (Sum of roots)x + (product of roots)
From the data, -2 and -8 are two roots
Sum of the roots = - 2 + (-8) = - 10
Product of the roots = -2(-8) = 16
Using the formula,
The required quadratic equation can be calculated as follows
=> h(x) = x² - (-10)x + (16)
=> h(x) = x² + 10x + 16
Therefore,
The required quadratic function is h(x) = x² + 10x + 16
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Ricky purchase Shoes for $159.95 and then exchanged them at a buy 1 get 1 half off sale. The shoes that he purchased on his return trip were $74.99 and $68.55. How much did he receive back from the store after his second transaction?
Answer:
50.68
Step-by-step explanation:
The higher priced shoes are full price and the lower priced shoes will be 1/2 price
74.99 + 1/2 (68.55)
74.99 + 34.28
109.27
He had 159.95 in credit
159.95-109.27
50.68 in return
QUICK!!
Two customers took out car loans from a bank.
Marcus took out a 5-year loan for $10,000 and paid 4. 7% annual simple interest.
Gianna took out a 6-year loan for $10,000 and paid 4. 5% annual simple interest.
What is the difference between the amounts of interest Marcus and Gianna paid for their car loans?
Enter your answer in the box.
The difference between the amounts of interest Marcus and Gianna paid for their car loan is $50
The amount and simple interestThe formula for calculating the amount on simple interest is given as:
A = P + I
I = PRT
A = PRT + P
Given the following paramteers
A = 10000(0.047)(5) + 100000
A = 2350 + 10000
A = 12350
For Gianna
A = 10000(0.045)(5) + 100000
A = 2250 + 10000
A = 12250
Difference = 12350 - 12250 = $50
Hence the difference between the amounts of interest Marcus and Gianna paid for their car loan is $50
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hl meaning in geometry
Answer:
"HL" in geometry typically refers to "Hypotenuse-Leg". This term is often used when talking about right-angled triangles, where the hypotenuse is the longest side, opposite the right angle, and the legs are the two shorter sides adjacent to the right angle.
The radius of a circle is 9 miles. What is the area of a sector bounded by a 60° arc?Give the exact answer in simplest form. ____ square miles. (pi, fraction,)
Given a figure of a circle:
As shown, the radius of the circle = r = 9 miles
The shown sector bounded by a 60-degree arc
We need to find the area of the shown sector
as we know the area of the circle =
\(\pi\cdot r^2\)The area of the sector represents 60/360 of the area of the circle
So, the area of the sector =
\(\frac{60}{360}\cdot\pi\cdot r^2=\frac{1}{6}\cdot3.1416\cdot9^2=42.4115\)so, the answer will be the area of the shown sector = 42.4115 square miles
We will write the area in terms of pi and fractions as follow:
\(\frac{1}{6}\cdot\pi\cdot9^2=\frac{27}{2}\pi\)So, the answer will be:
\(\frac{27}{2}\pi\)The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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7. Write an equation of the line parallel to y = 8x - 1 that contains (-6, 2). Please write the equation
in slope-intercept form.
Answer:
you have to use the formula of a line passing through a point, so: y-y0=m(x-x0)
We also know that m=8, because it is parallel to the line y=(8=m)x -1
so: y-2=8(x+6)
and you solve it, so:
y-2=8x+48
y=8x+48+2
y=8x+50
There are only green pens and blue pens in a box.
There are three more blue pens than green pens in the box.
There are more than 12 pens in the box.
Simon is going to take at random two pens from the box.
The probability that Simon will take two pens of the same colour is
27/55
Work out the number of green pens in the box.
Answer:
Green Pens : 21
Step-by-step explanation:
Let the number of
green pens = x
Three more blue pens than green pens translates to
=> number of blue pens = number of green pens + 3
=> blue pens = x + 3
Total number of pens = blues + green = x + 3 + x = 2x + 3
Probability of taking 2 green pens:
The first time a green pen is taken out, the probability
P( 1s green pen) = Number of green pens/Total number of pens
= \(\dfrac{x}{2x + 3}\)
After the first green pen is removed, the number of green pens will be one less and so will the total number of pens
Number of green pens = x - 1
Total number of pens = 2x + 3 - 1 = 2x + 2
P(second green pen | first green pen)
\(=\dfrac{x-1}{2x + 2}\)
P(2 green pens) = P(first green pen) x P(second green pen)
\(= \dfrac{x}{2x + 3} \times \dfrac{x-1}{2x + 2}\\\\=\dfrac{x(x -1)}{(2x +3)(2x+2)}\) [1]
Probability of 2 blue pens
P( 1st blue pen) = number of blue pens/total number of pens
\(=\dfrac{x + 3}{2x + 3}\)
P(second blue pen = (number of pens remaining if first was blue) ÷ total number of pens - 1
If the first pen taken was blue then there will be 2x + 3 - 1 blue pens out of a total of 2x + 3 - 1 pens
P(2nd blue pen | first blue pen)
\(=\dfrac{x + 2}{2x + 2}\)
\(\text{P(2 blue pens)} =\dfrac{x + 3}{2x + 3} \times \dfrac{x + 2}{2x + 2}\)\(=\dfrac{(x + 3)(x+2)}{(2x + 3)({2x + 2})}\) [2]
The probability of either 2 green pens or 2 blue pens is the sum of the two probability expressions [1] and [2]
\(= \dfrac{x(x -1)}{(2x +3)(2x+2)} + \dfrac{(x + 3)(x+2)}{(2x + 3)({2x + 2})}\)
\(= \dfrac{x(x - 1)+ (x + 3) (x +2)}{(2x + 3)(2x + 2)}\\\\\\= \dfrac{2x^2+4x+6}{(2x + 3)(2x + 2)}\\\\\\\\\)
Numerator: factor out 2 to get 2(x² + 2x + 3)
denominator = 4x²+10x+6 = 2 (2x² + 5x + 3)
2 of numerator and 2 of denominator cancel out to give the final expression:
\(\dfrac{x^2\:+\:2x\:+\:3}{2x^2+\:5x\:+\:3}\)
But we are given that the probability of picking 2 pens of the same color = 27/55
This will give us:
\(\dfrac{x^2\:+\:2x\:+\:3}{2x^2+\:5x\:+\:3} = \dfrac{27}{55}\)
Cross-multiplying we get
\(55\left(x^2+\:2x\:+\:3\right)=27\left(2x^2+\:5x\:+\:3\right)\)
=> \(55x^2+110x+165 = 54x^2+135x+81\)
Grouping like terms and simplifying gives
\(x^2-25x+84=0\)
This is a quadratic equation which can be solved using a scientific calculator (as I did)
The solution set is
x = 21, x = 4
Remember x = number of green pens. We can ignore x = 4 because the total number of pens given by the expression 2x + 3 will be less than 12 and we are told there are more than 12 pens total
So the solution is x = 21 (number of green pens)
Number of blue pens = x + 3 = 21 + 3 = 24
Answer: Green Pens : 21 and Blue Pens: 24
-13 + 8x = -77
Help it’s for homework
Answer: x = - 8 lol
Step-by-step explanation: Coz I juss know
Answer: x=−8
Step-by-step explanation: hope this helps! :)
Are my answers correct? Will give points if not correct can you solve please
The area of the smaller sector or minor sector is 125.66 yd².
The area of the larger sector or major sector is 326.73 yd².
What are the areas of the sector?The areas of the minor and major sectors is calculated by applying the following formulas follow;
Area of sector is given as;
A = (θ/360) x πr²
where;
r is the radius of the sectorθ is the angle of the sectorThe area of the smaller sector or minor sector is calculated as follows;
A = ( 100 / 360 ) x π ( 12 yd)²
A = 125.66 yd²
The area of the larger sector or major sector is calculated as follows;
θ = 360 - 100
θ = 260⁰
A = ( 260 / 360 ) x π ( 12 yd)²
A = 326.73 yd²
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find the 29th term "-24,-16,-8,0,8"
Answer:
29th=200
Step-by-step explanation:
difference = +8
nth term = 8n-32
I'm unsure how to solve this, if you can please respond asap. Thanks!
Answer:
82.5°
Step-by-step explanation:
This is the case of a isosceles triangle , as you may know in a isosceles triangle , there are two sides of equal length as well as two equal angles.
You know that the sum of angles in a triangle is 180°, therefore it comes to this equation :
15° + 2x = 180°
2x = 165°
x = 82.5°
therefore 82.5° is the correct answer.
Look at the figure if tan x=6/g and sin x =6/h what is the value of cos x?
The value of cos x is determined as g/h.
What is the value of cos x?The value of cos x is calculated by applying trigonometry identity as follows;
in trig identity tan x = sin x / cos x
From the question, the value of tan x = 6/g, and
the value of sin x = 6/h
The value of cos x is calculated by applying the trig identity of tan x as follows;
tan x = sin x / cos x
cos x = sin x / tan x
cos x = (6 / h ) / (6/g)
cos x = 6/h x g/6
cos x = g/h
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Find the perimeter.
Answer:
38
Step-by-step explanation:
Add all the numbers up
?= 5 plus 7 as that's the top of the "rectangle"
Answer:
38mi
Step-by-step explanation:
to find the side you don't know: 7+5=12mi
to find the perimeter: 5+4+7+3+12+7= 38mi