The expression representing the amount Melanie earns each hour from babysitting, based on the expression $4x + $16 and her working for four hours, is represented by the variable $x. To determine the hourly rate, we would divide the total hourly charge by the number of hours, but the specific value of $x is not given.
Explanation:The given expression representing Melanie's total earnings from babysitting for four hours is $4x + $16. Here, $16 is the upfront charge and $4x represents the additional hourly charge multiplied by the number of hours worked. To find the expression representing the amount she earns each hour, we look at the variable part of the expression, which is $4x.
Since Melanie worked for four hours, this part of the expression ($4x) must account for her earnings per hour times the number of hours worked. To find her earnings per hour, we divide the total hourly charge by the number of hours. Therefore, the expression for the hourly rate is $x.
To determine the specific amount that x represents, we would need additional information, such as the total amount she earned after working the four hours. However, based on the given expression, we can conclude that x is representative of Melanie's earnings per hour.
Each of the 18 tires of a fully loaded semi truck is bearing approximately 3,300 pounds. The unloaded truck and trailer, with the driver aboard weighs 30,000 pounds. The truck holds 26 pallets of cargo when it is fully loaded. What is the approximate average weight of one pallet of cargo? A. 1,131 lbs
B. 1,280 lbs
C. 1,633 lbs
D. 1,665 lbs
Answer: A. 1,131 lbs
Step-by-step explanation:
Given: the weight of each tire of a fully loaded semi truck = 3,300 lbs
Then the weight of 18 tires of a fully loaded semi truck = [tex]18\times 3300=59400\ lbs[/tex]
Also, the unloaded truck and trailer, with the driver aboard weighs 30,000 pounds.
Therefore, the weight of pallets = [tex]59400-30000=29400\ lbs[/tex]
Hence, the weight of 26 pallets of cargo when it is fully loaded= 29400 lbs
Now, the weight of each pallet= [tex]\frac{29400}{29}=1130.76923077\approx1131\ lbs[/tex]
∴ The approximate average weight of one pallet of cargo= 1131 lbs
If 15/x is equal to 75/100 what is x
$145 coat; 6.25% tax find the answer
Draw and label a rectangle prism that has a surface area of 158 square yards
A rectangular prism with dimensions [tex]\(8 \times 5 \times 3\)[/tex] yards has a surface area of 158 square yards, verified by substituting into the surface area formula.
To draw and label a rectangular prism with a surface area of 158 square yards, we first need to understand the surface area formula for a rectangular prism.
The surface area \(A\) of a rectangular prism can be found using the formula:
[tex]\[ A = 2lw + 2lh + 2wh \][/tex]
Where[tex]\(l\), \(w\), and \(h\)[/tex] are the length, width, and height of the rectangular prism, respectively.
Given the surface area[tex]\(A = 158\)[/tex] square yards, we can now find different combinations of [tex]\(l\), \(w\), and \(h\)[/tex] that satisfy this equation.
One possible combination is [tex]\(l = 8\), \(w = 5\), and \(h = 3\).[/tex] Let's verify this:
[tex]\[ A = 2lw + 2lh + 2wh \][/tex]
[tex]\[ = 2(8 \times 5) + 2(8 \times 3) + 2(5 \times 3) \][/tex]
[tex]\[ = 2(40) + 2(24) + 2(15) \][/tex]
[tex]\[ = 80 + 48 + 30 \][/tex]
[tex]\[ = 158 \text{ square yards} \][/tex]
Therefore, a rectangular prism with dimensions [tex]\(8 \times 5 \times 3\)[/tex]yards will have a surface area of 158 square yards.
Now, to draw and label the rectangular prism:
- Draw a rectangular prism with dimensions [tex]\(8 \times 5 \times 3\)[/tex] yards.
- Label the length[tex](\(l\)),[/tex] width [tex](\(w\)),[/tex] and height[tex](\(h\))[/tex] accordingly.
The question probable may be:
Draw a rectangle prism that has a surface area of 158 square yards
Juan unloads 29 bags of pine mulch from each of his fathers 2 trucks. Together, the truck holds 2,262 pounds of pine mulch. What is the weight of each bag of pine mulch Juan unloads?
The coordinates of point P on a coordinate grid are (−5, −6). Point P is reflected across the y-axis to obtain point Q and across the x-axis to obtain point R. What are the coordinates of points Q and R?
Is the question is x(x2-2) then what would be the answer
John gets a new job and receives a 200$ bonus after that he makes 50$ a day
What is the slope:
What is the y-intercept:
63 to 28 as a fraction
To simplify 63 to 28 as a fraction, divide both 63 and 28 by their greatest common factor, resulting in 9/4.
63 to 28 as a fraction can be written as 63/28. To simplify this fraction, you can divide both the numerator and the denominator by their greatest common factor, which is 7. Therefore, 63/28 simplifies to 9/4.
can you guys answer this
what is the area of a isosceles triangle
Each Day Marvin exercises for 48 minutes.How many days will it take him to exercise for 576 minutes?
By dividing the total desired exercise minutes (576) by the daily exercise duration (48 minutes), we find that Marvin will need 12 days to reach 576 minutes of exercise.
Explanation:To calculate how many days it will take Marvin to exercise for a total of 576 minutes, given that he exercises for 48 minutes each day, we divide the total minutes he wants to achieve by the number of minutes he exercises daily.
Total minutes desired: 576 minutes
Daily exercise duration: 48 minutes
To determine the number of days required, we perform the following calculation:
Divide 576 by 48.The result is the number of days Marvin needs to exercise to reach 576 minutes.576 minutes ÷ 48 minutes/day = 12 days
Therefore, it will take Marvin 12 days of exercising for 48 minutes each day to accumulate 576 minutes of exercise.
A race car travels at a speed of 230 miles per hour. The race track on which the car is competing is 400 miles long. About how long does it take for the car to finish, disregarding pit stops and yellow flags?
A) 174 minutes
B) 345 minutes
C) 1 hour 45 minutes
D) 2 hours 14 minutes
Answer:
Option(c)
Step-by-step explanation:
The race track on which the car is competing miles= 400 miles
A car travels with speed= 230 miles per hour
We have to find time taken for the car to finish
As we know,
Time taken to cover certain distance=[tex]\frac{Distance}{Time}[/tex]
Time taken to cover certain distance=[tex]\frac{400}{230}[/tex]
Time taken to cover certain distance=[tex]\frac{40}{23}[/tex]
Time taken to cover certain distance=1 hour 45 minutes
Hence, the correct answer is option(c)
what is three equivalent ratios for 9/2?
To find three equivalent ratios for 9/2, you can multiply both the numerator and denominator of the given ratio by different numbers.
Explanation:When finding equivalent ratios, you need to multiply or divide both the numerator and denominator of the given ratio by the same number. In this case, we have 9/2. To find three equivalent ratios, we can multiply the numerator and denominator by different numbers. Here are three equivalent ratios for 9/2:
18/4 (multiply both 9 and 2 by 2) 27/6 (multiply both 9 and 2 by 3) 45/10 (multiply both 9 and 2 by 5)
Ling is training for a marathon by jogging 6.3 kilometers every other day. How many meters does she jog every other day
Ling jogs 6300 meters every other day while training for a marathon. The conversion from kilometers to meters was done by multiplying the kilometer value (6.3) by 1000.
Explanation:To answer the question of how many meters Ling jogs every other day, we need to convert the distance from kilometers to meters. In the metric system, 1 kilometer is equivalent to 1000 meters. Therefore, if Ling jogs 6.3 kilometers every other day, we multiply 6.3 by 1000 to obtain the equivalent distance in meters.
Calculation: 6.3 kilometers * 1000 = 6300 meters.
So, Ling jogs 6300 meters every other day while training for the marathon.
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The product of a number and - 7/10 is 1/2 .
What is the number?
-5/7
5/7
-7/20
7/20
Answer: -5/7
Step-by-step explanation:
Which values from the given replacement set make up the solution set of the inequality? m+7 < 18 ; {8,9,10,11}
A. {8,9}
B. {10,11}
C. {8,9,10}
D. {9,10,11}
The correct answer is C.
8 + 7 = 15 < 18
9 + 7 = 16 < 18
10 + 7 = 17 < 18
So the correct answer is C.
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a wireless company offers two cell phone plans. Plan A charges 24.95 per month plus 0.10 per minute for calls. Plan B charges 19.95 per month plus 0.20 per minute. Use the questions to find when the two plans cost the same.
To find when the two plans cost the same, set up an equation equating the cost of Plan A and Plan B. Solve for the number of minutes used when the two plans cost the same.
Explanation:To find when the two plans cost the same, we need to set up an equation where the cost of Plan A is equal to the cost of Plan B. Let x be the number of minutes used. For Plan A, the cost is $24.95 + $0.10x. For Plan B, the cost is $19.95 + $0.20x. Setting these two expressions equal to each other, we get:
$24.95 + $0.10x = $19.95 + $0.20x
Now, we can solve for x:
$0.10x - $0.20x = $19.95 - $24.95
$-0.10x = -$5
x = -$5 / -$0.10
x = 50
Therefore, the two plans cost the same when 50 minutes are used.
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You want to buy met tickets that cost $357.25. They offer 25% off the second discount of 14% off of the discounted price
Answer: $230.43
Step-by-step explanation: 357.25x25%=89.3125
Then you add it to the mets ticket which would get you 267.9375 Then you do 267.9375x14%=37.51125 then subtract that from 267.9375 and then you get 230.42
there are 239 people in the first 6 rows of a movie theater if the same number of people are in the next 6 rows about how many people are in the first 12 rows ?
In the first twelve-row, the total number of people is 478 and this can be determined by using the arithmetic operations.
Given :
The total number of people in the first six rows is 239.
The same number of people are in the next 6 rows.
Arithmetic operations can be use to determine the total number of people in the first twelve rows.
Given that there are 239 people in the first six rows and the same number of people in the next six rows. Therefore, in the next six-row, the total number of people are 239 as well.
Therefore, in the first twelve-row the total number of people = 239 + 239
= 478.
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which shows faster decay 0.8 or 0.9
3.752 rounded to the nearest hundredth
Austin buy 4 boxes of nails for his project. there are 30 nails in each box. how many nails does Austin Buy in all
Cameron book log show that he read a total of 4 1/4 hours last month. How many minutes is that?
What is $15 for 3 pounds wrote as a unit rate
Which equation shows the substitution method being used to solve the system of linear equations?
x – y = 7
x = y + 3
A.
(y + 3) – y = 7
B.
x – (y + 3) = 7
C.
x – y = y + 3
D.
x = (7 – x) + 3
Zoe's pizza cost $12.99. She gave a tip of $2.00. What percent did Zoe leave as a tip?
The percentage of money Zoe leave as a tip is 15.39%.
What is a linear function? What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Zoe's pizza cost $12.99. She also gave a tip of $2.
Assume that the percentage of money Zoe leave as a tip is [x]. So, we can write -
[x] = 2% of 12.99
[x] = (2/12.99) x 100
[x] = 15.39%
Therefore, the percentage of money Zoe leave as a tip is 15.39%.
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Jared made 4 bird houses in 3 days. How many days will Jared work to make 20 bird houses
The number of days Jared will take to make 20 bird houses, when he can make 4 bird houses in 3 days, is 15 days.
What is the relation between work and time?The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,
[tex]W=\dfrac{1}{n}[/tex]
Jared made 4 bird houses in 3 days. Thus, the number of bird houses made by Jared in 1 day is,
[tex]n=\dfrac{4}{3}[/tex]
Thus, the Jared made 4/3 housed in a single day. By this rate the total time required to Jared to make 20 bird housed is,
[tex]t=\dfrac{20}{\dfrac{4}{3}}\\t=\dfrac{60}{4}\\t=15\rm\;days[/tex]
Hence, the number of days Jared will take to make 20 bird houses, when he can make 4 bird houses in 3 days, is 15 days.
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Michelle wants to save $150 for a trip to the six flag amusement park. If she saves $12 each week, how many weeks will it take her to save enough money for the trip
use distributive property to rewrite 4u(u + 3)