Step by Step Solution. Least Common Multiple is : 120. Calculate Least Common Multiple for : 3, 8 and 10. Factorize of the above numbers : 3 = 3. 8 = 23 10 = 2 • 5. Build a prime factors table. ...
If Linnia Bought some flats for flowers and each flat hold 9 flowers, and she has planted 10 flowers, would 9x + 10 be a reasonable algebraic expression to the problem?
Answer:
no because 9x means 9 times what ever x is so 9x +10 is not reasonable
At a grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon that weights 9.3 pounds is $6.51. Write an equation that can be used to determine the price, p, in dollars, of any watermelon based on the number of pounds, w, the watermelon weighs. Explain the process you used to determine the equation.
The equation that can be used to determine the price, in dollars, of any watermelon based on the number of pounds is p = 0.7w
What is the equation that can be used to determine the price?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Since the price of a watermelon that weights 9.3 pounds is $6.51, the cost per pound of watermelon will be:
= $6.51 / 9.3
= $0.7
Therefore, the equation is p = (0.7 × w) = 0.7w
where P = price
w = pound of watermelon
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a tree casts a 25 foot shadow. at the same time, a 6 foot stick casts a shadow 4.5 feet long. how tall is the tree
The tree is 34 feet tall.
Ratio of length of the stick to the length of the shadow = 6 : 4.5 = 4:3
Ratio of length of the tree to the length of its shadow = x : 25 = 4:3
x / 25 = 4 / 3
x = 25 x 4 / 3 = 100/3 = 33.33
Therefore, the length of the tree to the nearest foot is 34 feet (approximately).
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What was her score on this exam, rounded to the nearest integer
Answer:
Where is the number I need to round to?
(Please don't give me a bad rating i'm trying to help :) )
The Travers are adding a new room to their house. The room will be a cube with volume
5,832 ft^3. They are going to put in hardwood floors, and the contractor charges $5 per square foot.
How much will the hardwood floors cost?
Answer:
$1620
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the length of the side )
Here V = 5832 , then
s³ = 5832 ( take cube root of both sides )
s = \(\sqrt[3]{5832}\) = 18 ft
The area of the square floor is then
area = 18² = 324 ft²
cost = 324 × $5 = $1620
William is planning on driving his car to the family reunion. The diotance to
the meeting place in 956 milea. If his car geta 32 mpg, how many gallons of
gas will he need?
A. 39.9
B. 19.9
C. 49.9
D. 29.9
Answer:
The answer would be D. 29.9 :)
Answer:
D) 29.9
Step-by-step explanation:
confirmed
Compare your response to the sample response above. What did you include in your explanation? a reference to the horizontal-line test a statement that the function is one-to-one the conclusion that the inverse is a function
Answer:
all of the answers are correct
Step-by-step explanation:
i took the test and got a hundred! it's a trick question
The statements included in the explanation on the horizontal line test are follows as a reference to the horizontal-line test, a statement that the function is one-to-one. and inverse is a function.
What is the horizontal-line test?The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.
In order to pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places.
If this happens, then there is an inverse and the inverse itself is a function.
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The complete question is
If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function. Compare your response to the sample response above.
For the month of April, a checking account has a balance of $523 for 23 days, $2340 for 4 days, and $238 for 3 days. What is the account's mean daily balance for
April?
The account's mean daily balance for April is approximately $
(Round to two decimal places as needed.)
Answer:
Approximately $103.37 per day
Step-by-step explanation:
As April has 30 days, we have to add together $523, $2340, and $238 to get the total balance for the entire month. In this case, the total balance is $3101. Now, referring back to April having 30 days, $3101÷30 days=$103.366666666 a day, when rounded to two decimal places, it equals $103.37 a day. So, the account's mean daily balance for April is approximately $103.37 a day.
Hopefully the explanation and the answer helps!
The mean daily balance will be 736.77
What is weighted mean?Weighted mean is the mean where some of the value contributing more than the other values.
Weighted mean can be calculated by dividing the sum of frequencies and value by the sum of the frequencies.
weighted mean= ∑fₙxₙ/∑fₙ
where f is the frequency and x is the value.
So according to asked question,
in April, balance is in such a way that $523 for 23 days, $2340 for only 4 days, and $238 for only 3 days.
x₁=$523 , f₁=23
x₂=$2340 , f₂=4
x₃=$238 , f₃=3
weighted mean= sum of the product frequency and value/sum of frequency
= ∑fₙxₙ/∑fₙ
= ((523*23)+(2340*4)+(238*3))/(23+4+3)
=22103/30
=736.7666≅736.77
Therefore the mean daily balance will be $736.77.
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lf had his hourly salary increase from $9.25 per hour to $10.75 per hour, what's the percent increase in Jordan's salary
Answer:
16.22%
Explanation:
The percent of increase can be calculated as:
\(\frac{v_f-v_i}{v_i}\times100\)Where vf is the final value and vi is the initial value. So, replacing vf by 10.75 and vi by 9.25, we get:
\(\frac{10.75-9.25}{9.25}\times100=\frac{1.5}{9.25}\times100=16.22\text{ \%}\)Therefore, the percent of the increase is 16.22%
Which equation has a slope of-3 and passes through the point (-5,4)
EXAMS SUCK ON A.P.E.X(ngl tho dream and sapnap help) worth 30 points again
Answer:
Triangles A and C
Step-by-step explanation:
Look at the angles, they are the same, but not for B
Answer: A and C
Step-by-step explanation:
First they all have the same angle length ( 28, 90, 62) and both equal 106°. Hope this helps you and can someone please help me with my question!
(y-x)³; where x=1, and y=3 (with calculations pls).
Answer:
8
Step-by-step explanation:
Substitute x = 1 and y = 3 into the expression
(y - x)³
= (3 - 1)³
= 2³
= 8
How many hundreds are
in 693?
Answer:
6
Step-by-step explanation:
You should break it up:
600, 90, 3
A hundred is 100; so taking the number with the 3 points, divide it by a hundred: which will give you 6
Answer:6
Step-by-step explanation:
Find a ⋅ b.
a = 9i + 5j, b = 4i + 3j
Instructions: Interpret the function given in the context ofthe real-world situation described to answer the question.Nichole bought a new car. The depreciation equation isgiven by f(x) = 27,000(.86), where a representsthe number of years since the purchase of the car, andf(x) represents the value of the car. By what percentdoes Nichole's car depreciate each year?%
The depreciation equation is given by
\(f(x)=27000(0.86^x)\)where x represents the number of years. Here, the initial value of the car corresponds to x=0, then we have
\(\text{ initial value = f\lparen0\rparen=27000}\)After one year, the car value corresponds to x=1, that is,
\(\text{ after 1 year = f\lparen1\rparen=27000\lparen0.86}\rparen^1\text{=27000}\times0.86=\text{23220}\)Now, let's find the depreciation percentage by means of a rule of three:
\(\begin{gathered} 2700\text{ ----- 100 \%} \\ 23220\text{ ------- x} \end{gathered}\)so we have
\(x=\frac{23220\times100}{27000}=86\text{ \%}\)So the difference between 100% and 86% is 14% This means Nichole's car depreciate 14% each year
7x + 2y - 3 = 0 in slope intercept form.
Answer:
y=(-7/2)x+3
Step-by-step explanation:
7x+2y-3=0
7x+2y=3
2y=-7x+3
y=(-7/2)x+3
Answer:
y = - \(\frac{7}{2}\) x + \(\frac{3}{2}\)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )
2y = - 7x + 3 ( divide each term by 2 )
y = - \(\frac{7}{2}\) x + \(\frac{3}{2}\) ← in slope- intercept form
A homeowner puts a patio in the northwest corner of a square backyard. The area of the patios is 750
square feet. What is the area of the backyard?
120 ft
X
25
xft
Answer:
17.6621ft²
Step-by-step explanation:
First we need to find the side length of the patio x
SInce the area of the patio = 750
Area of patio = x * x
Area of patio = x²
750 = x²
Swap
x² = 750
x = √750
x = 27.39ft
Length of the backyard = 27.39ft - 25ft = 2.39ft
Width of the backyard = 27.39ft - 20ft = 7.39ft
Area of the backyard = 2.39 * 7.39
Area of the backyard = 17.6621ft²
The dimension of the backyard is 7.4 feet by 2.4 feet. Then the area of the backyard is 17.76 square feet.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A homeowner puts a patio in the northwest corner of a square backyard. The area of the patios is 750 square feet.
The dimension of the patio will be
x² = area
x² = 750
x = 27.4 feet
The dimension of the backyard will be
Length = 27.4 – 20 = 7.4
Width = 27.4 – 25 = 2.4
The area of the backyard will be
Area of backyard = 7.4 × 2.4
Area of backyard = 17.76
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Solve 2(x + 1) + 4 = 8
1
6.5
4
3
A man buys a plot of agricultural land for rs. 300000 he sells 1/3rd at a loss of 20% and 2/5ths at a gain of 25% at what price must he sell the remaining land so as to make an overall profit of 10%
Tanya bought the least expensive brand of dog food. Eddie bought the most expensive brand of dog food. Which brand did each person buy?
Tanya - Iams ProActive Lamb & Rice
Eddie - Ultimate Pet Nutrition Nutra Complete
what does ctrl or command z stand for
Answer: It means Undo
Step-by-step explanation:
solve the system if possible by using cramer's rule. if cramer's rule does not apply, solve the system by using another method. write all numbers as integers or simplified fractions.
Using the Cramer's Rule, the solution of the given system of equation is (-17/11, 48/11)
The given system of equations are
10x+4y=2
-6x+2y=18
Solving the equations by using Cramer's rule.
We know that, the solution of a system of linear equations in two unknowns
a(1)x+b(1)y = c(1)
a(2)x+b(2)y = c(2)
is given by ∆x=∆1, and ∆y=∆2.
where,
\(\Delta=\text{det}\left [ \begin{matrix} a(1)&b(1) \\ a(2) & b(2)\end{matrix} \right ], \Delta(1)=\text{det}\left [ \begin{matrix} c(1)&b(1) \\ c(2) & b(2)\end{matrix} \right ]\text{ and }\Delta(2)=\text{det}\left [ \begin{matrix} a(1)&c(1) \\ a(2) & c(2)\end{matrix} \right ]\)
Since the given equations are;
10x+4y=2
-6x+2y=18
Now,
\(\Delta=\text{det}\left [ \begin{matrix} 10&4 \\ -6 & 2\end{matrix} \right ]\)
∆ = [(10×2)-(-6×4)]
∆ = 20+24
∆ = 44
\(\Delta(1)=\text{det}\left [ \begin{matrix} 2&4 \\ 18 & 2\end{matrix} \right ]\)
∆(1) = [(2×2)-(18×4)]
∆(1) = 4-72
∆(1) = -68
\(\Delta(2)=\text{det}\left [ \begin{matrix} 10&2 \\ -6 & 18\end{matrix} \right ]\)
∆(2) = [(10×18)-(-6×2)]
∆(2) = 180+12
∆(2) = 192
By Cramer's Rule,
∆x = ∆(1)
44 × x = -68
x = -68/44
x = -17/11
Now,
∆y = ∆(2)
44 × y = 192
y = 192/44
y = 48/11
Hence, the solution of the given system of equation is (-17/11, 48/11).
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The right question is:
Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions.
10x+4y=2
-6x+2y=18
100% of will give me 93
Answer:
Hi Wdym m=by 100% of will give me 93
Step-by-step explanation:
3.1.2 Use the table below to determine the two integers, r and s. Sum of the two factors Factors of -1and-6 and CAPRY Product of the two factors product - Result but sum
The two integers from the factors are 5 and -6
How to determine the two integersFrom the question, we have the following parameters that can be used in our computation:
Factors = -1 and 6
Integers = r and s
using the above as a guide, we have the following:
Sum of factors = r
So, we have
r = -1 + 6
r = 5
Next, we have
Product of factors = s
So, we have
s = -1 * 6
s = -6
Hence, the two integers are 5 and -6
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Determine whether the series diverges or converges:
sum 6^n/(5^n-1), n=1 to infinity
To determine whether the series converges or diverges, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms of a series is less than 1, then the series converges. If the limit is greater than 1 or approaches infinity, then the series diverges.
Using the ratio test, we have:
|6^(n+1)/(5^(n+1)-1)| / |6^n/(5^n-1)| = |6/(5-1/5^n)|
As n approaches infinity, the denominator 1/5^n approaches 0, and the absolute value of the ratio approaches infinity. Therefore, the series diverges.
we can further explain that the terms in the series 6^n/(5^n-1) grow faster than those in a geometric series with a common ratio of 5/6, which is convergent since the ratio is less than 1. As n increases, the denominator of each term in the given series becomes very close to 5^n, while the numerator remains constant. This makes the fraction approach infinity, and so the series diverges.
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If the concentration of mercury in the water of a polluted lake is 0.200 μg (micrograms) per liter of water, what is the total mass of mercury in the lake, in kilograms, if the lake has a surface area of 17.0 square miles and an average depth of 39.0 feet?
The total mass of mercury in the lake is 104.67 kg.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
The volume of water in the lake = surface area x depth
= 17 x ( 1760 x 3 )² x 39 ft³
= 1.84 x 10¹⁰ ft³
= 1.84 x 10¹⁰ x 28.3168 liter .
= 52.339 x 10¹⁰ liter .
Since concentration of mercury = 0.20 x 10⁻⁶ g / liter
= 20 x 10⁻⁸ g / liter
= 20 x 10⁻¹¹ kg / liter
So the mass of mercury in the water of the lake
= 20 x 10⁻¹¹ x 52.339 x 10¹⁰ kg
= 104.67 kg .
Hence, the total mass of mercury in the lake is 104.67 kg.
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Write the equation of the circle with a radius 7 and center (13, 15).
HELP ASAP!!!
Answer:
Option b is the correct answer
\( (x - 13)^2 + (y - 15)^2 = 49 \)
Step-by-step explanation:
\( (x - 13)^2 + (y - 15)^2 = 7^2 \)
\( (x - 13)^2 + (y - 15)^2 = 49 \)
Do Now
1) Given the function g(x) = 20 - x, evaluate g(-10).
Step-by-step explanation:
just substitute the value
pls help plssssss
it would really help
The length of side AC rounded to 1 decimal place is 17.3 cm.
What is the length of side AC?The figure on the image is a right triangle.
From the image;
Angle B = 68 degreesOpposite to angle B = AC = ?Adjacent to angle B = AB = 7cmusing the trigonometric ratio, we determine the length of side AC.
Tangent = Opposite / Adjacent
tan( 68 ) = AC / 7
AC = tan( 68 ) × 7
AC = 17.3 cm
Therefore, side AC has a length of 17.3 cm.
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what is the approximate bac of a 160 pound man who consumes five 12-oz beers in two hours
The BAC of a 160-pound man who consumes five 12-oz beers in two hours can be estimated to be approximately 0.017 or 1.7% using Widmark's formula, which takes into account the grams of alcohol consumed, body weight, gender and hours since the first drink. This BAC is well over the legal limit.
Explanation:The Blood Alcohol Concentration (BAC) of a 160-pound man who consumes five 12-oz beers in two hours can be estimated using Widmark's formula. Note that the actual BAC can vary widely based on individual metabolism, food intake, and other factors.
First, it's important to understand that one 12-oz beer generally contains about 0.6 ounces of alcohol. That means, five 12-oz beers would contain about 3 ounces of alcohol.
Widmark's formula is BAC = (grams of alcohol consumed / (body weight in grams * r)) - (0.015 * hours since first drink). Where 'r' is the alcohol distribution ratio, approximately 0.68 for men.
Converting the information to metric, 160 pounds is about 72.6 kilograms or 72600 grams. And 3 ounces of alcohol is about 85 grams.
We can substitute these numbers into Widmark's formula: BAC = (85 / (72600 * 0.68)) - (0.015 * 2). This gives a BAC of approximately 0.017 or 1.7%. This is well above the legal limit in most jurisdictions, which is often 0.08%, and would likely cause significant impairment.
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The approximate BAC of a 160 pound man who consumes five 12-oz beers in two hours is approximately 3.53%.
Explanation:The approximate blood alcohol concentration (BAC) of a 160 pound man who consumes five 12-oz beers in two hours can be calculated using the Widmark formula.
First, calculate the total amount of alcohol consumed in ounces. Five 12-oz beers equal 60 ounces.Next, calculate the grams of alcohol consumed by multiplying the total alcohol consumed (in ounces) by 28.35 grams. In this case, it would be 60 ounces x 28.35 grams = 1701 grams.Then, divide the grams of alcohol consumed by the man's total body water (TBW), which can be estimated as 0.68 * body weight (in grams). In this case, it would be 0.68 * 160 pounds * 453.6 grams/pound = 48154.4 grams.Finally, multiply the result by 100 to get the BAC as a percentage. In this case, it would be (1701 grams / 48154.4 grams) * 100 = approximately 3.53%.Therefore, the approximate BAC of a 160 pound man who consumes five 12-oz beers in two hours is approximately 3.53%.
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