Jeremy’s sister Susie, borrowed money from their mom to pay her order. Their mother has agreed to deduct an equal amount of money from Susie’s allowance each week for the next five weeks to repay the loan. What is the weekly change in Susie’s allowance?
Answers
Final answer:
The question requires dividing the total amount borrowed by Susie by the number of weeks to obtain the weekly change in her allowance.
Explanation:
The question pertains to a simple mathematical calculation of equal division of a loan amount across a specified number of weeks to determine the weekly change in Susie's allowance. Although the exact loan amount isn't provided, the process would involve dividing the total sum borrowed by the number of weeks (5 weeks, as mentioned) to find out how much Susie's allowance will reduce each week.
For instance, if Susie borrowed $100, her weekly allowance would be reduced by $100 / 5 = $20 per week.
Final answer:
The weekly change in Susie's allowance is $20.
Explanation:
The weekly change in Susie's allowance can be calculated by dividing the total amount borrowed by the number of weeks she has to repay the loan. In this case, if Susie borrowed $100 and has five weeks to repay it, the weekly change in her allowance would be $100/5 = $20. Therefore, her allowance would decrease by $20 every week for the next five weeks.
Related Questions
write the addition sentence illustrated by each figure
Answers
32. The answer is -2+9=7
33. -11+9=-2
34. -6+(-3)=-9
What is 15% higher than 60?
A.9
B.24
C.69
D.75
Answers
.15 x 60 = 9 + 60 = 69
Two families are sharing the cost of vacation home for one week. The cost to rent the home is $3,513 plus a $351.30 deposit. What is each family’s fair share of the home plus deposit?
$1756.50
$1128.10
$1932.15
.
$1432.15
Answers
The answer is $1932.15
3,513+351.30=3864.30
3864.30÷2=1932.15
Hope this helps!
Solve for x. The triangles in each pair are similar.
Answers
Ivan has a piece of lumber 104 inches long. He is sawing it into 12-inch lengths to make fence posts. He says he can get about 9 fence posts out of the board.
Answers
12 x 8 = 96 leaving him 8 more inches of board.
12 x 9 = 108 meaning he would need 4 more inches of lumber to make his last fence post uniform with the rest.
Write an expression that shows how to multiply 7 x 256 using the expanded form and the Distributive Property.
Answers
1. Write the greater factor in expanded form, and
2. Record partial products by using Distributive property.
Step 1.
7 x 256 = 7 x (200 + 50 + 6)
Step 2.
7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6
Hence, the complete expression should look like:
7 x 256 = 7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6
whats 603X4 estimate go math
Answers
Multiply 600 and 4.
=2400
603 X 4≈2400
600 x 4 = 2,400
A polynomial expression is shown below.
(mx³ + 3)(2x² + 5x + 2) - (8x⁵ + 20x⁴)
The expression is simplified to 8x³ + 6x² + 15x + 6. What is the value of m?
Answers
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m
(mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = 8x^3+6x²+15x+6
2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=8x^3+6x²+15x+6
2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ 8x^5+20x^4
= 8x^5+20x^4+8x^3= 4(2x^5+5x^4+2x^3)
finally
m(2x^5+5x^4+2x^3)=4(2x^5+5x^4+2x^3), and after simplification
C: m=4
4. When the expression is factored x²-3x-18 completely,
one of its factor is x-6
x²-3x-18=0
D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so x²-3x-18= (x-6)(x+6)
The value of the m in the polynomial expression for which the simplified expression is 8x³ + 6x² + 15x + 6 is 4.
What is the simplified form of a equation?Simplified form of an equation is the simplest way of expression the equation, which is obtained by applying the required operations of mathematics.
A polynomial expression is shown below.
[tex](mx^3 + 3)(2x^2 + 5x + 2) - (8x^5 + 20x^4)[/tex]
The expression is simplified to the following expression,
[tex]8x^3 + 6x^2 + 15x + 6[/tex]
As the equation is a simplified expression of the given polynomial. Thus, both the equation are same.
[tex](mx^3 + 3)(2x^2 + 5x + 2) - (8x^5 + 20x^4)=8x^3 + 6x^2 + 15x + 6[/tex]
Open the brackets and simplify it further,
[tex]2mx^5+5mx^4+2mx^3+6x^2+15x+6-8x^5-20x^4=8x^3 + 6x^2 + 15x + 6\\2mx^5+5mx^4+2mx^3=8x^3+6x^2+15x+6-6x^2-15x-6+ 8x^5+20x^4\\m(2x^5+5x^4+2x^3)= 8x^5+20x^4+8x^3 \\m(2x^5+5x^4+2x^3)=4(2x^5+5x^4+2x^3)[/tex]
On comparing both side of the equation, the value of m we get is,
[tex]m=4[/tex]
Thus, the value of the m in the polynomial expression for which the simplified expression is 8x³ + 6x² + 15x + 6 is 4.
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Shawn has been hired as a sales associate Horizon Mobile Phone Company. He has two salary options. He can either receive a fixed salary of $750.00 per week or a salary of $400.00 per week plus an 8% commission of his weekly sales. Which solution set among the options below represents the dollar amount of sales that he must generate each week in order for the option with commission to be the better choice?
Answers
Cause he gets a base salary of 400.00 plus the 0.08 commision (8%)
He would need at least 5,000 in sales to get 8 percent which would be 400, making his salary
400+400 = 800, better than the other option of 750
Jason works at least 5 hours but not more than 10. He earns $15.30 per hour. The function f (t) = 15.3t represents the money he earns for working t hours. What is the practical range? Show all your work.
1. Correctly determine the minimum and maximum money earned.
2. Correctly identify the practical range as inclusive or exclusive.
3. Correctly state the practical range.
Answers
1. The minimum number of hours is 5 hours, so the minimum money earned is:
minimum money = 15.30 * 5 = $76.50
The maximum number of hours is 10 hours, so the maximum money earned is:
maximum money = 15.30 * 10 = $153
2. Since the words “at least” and “not more than” are used, hence this is inclusive.
3. The practical range is:
$76.50 ≤ f(t) ≤ $153
Answer:
$76.50 ≤ f(t) ≤ $153
Step-by-step explanation:
In the diagram shown, ∠2 measures 77 degrees. What is the measure of ∠4?
Answers
Karl participated in a two-day charity walk. His parents donated money for each mile he walked. Karl walked 3 1/4 miles on the first day and 5 1/2 miles on the second day. His parents donated $175. How much money did his parents pay for each mile
Answers
3.25+5.5=8.75
Then we will divide 175 by the number of miles walked which in this case is 8.75.
Then we get 20 which is the amount of money that his parents donated for every mile that he walked.
the temperature on monday was -1.5°C. The temperature on Tuesday was 2.6°C less than the temperature on Monday.what was the temperature on Tuesday?
Answers
[tex]-1.5+(-2.6)[/tex]
So then the temperature on Tuesday is -4.1.
At a car repair shop, the cost of repair depends on the time the mechanic works. Which of the following shows this idea in function notation?
Pleas show all work.
A. number of cars (time)
B. time(cost)
C. time(number of cars)
D. cost(time)
Answers
The mechanic would charge x amount per hour,
so it would look like:
x(time)
So lets say every hour was $5 and he worked on it for 5 hours, then it would be
$5(5)
hope this helps!
i hope this helped and have a wonderful day!!
Jennifer has 3 1/2 cups of jelly beans to share with 7 friends how many cups does each person get
Answers
=3 1/2 ÷7
=1/2
each person gets 1/2 cup
10 ways to divide 96 into equal groups
Answers
These are the ten ways to divide 96 into equal groups:
96 divided by 2 = 2 groups of 48
96 divided by 48 = 48 groups of 2
96 divided by 12 = 12 groups of 8
96 divided by 8 = 8 groups of 12
96 divided by 32 = 32 groups of 3
96 divided by 3 = 3 groups of 32
96 divided by 24 = 24 groups of 4
96 divided by 4 = 4 groups of 24
96 divided by 6 = 6 groups of 16
96 divided by 16 = 16 groups of 6
A used electronics store pays $30 for each cell phone, spends $20 refurbishing the phone, and sells the refurbished phone to a customer for $115.
a. Write an expression in simplest form that represents the company's earnings (in dollars) from buying, processing, and selling cell phones. Use x to represent the number of cell phones they sell.
An expression is ([answer]) dollars.
Answers
I am subtracting the amount it took to make the phone, from the amount they sell the phone to a customer for.
115-(30+20)=x
115-50=x
65=x
if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue or brown eyes.
Answers
8/12 + 3/12 = 11/12
11/12 of the girls have blue and brown eyes. That leaves 1/12 of the girls who have neither blue nor brown eyes.
1-(8/12+3/12)
1-11/12
1/12
1/12 of girls the class has neither blue nor brown eyes.
You have to add the two fractions (2/3 and 1/4) together to get the fraction of the girls in the class that have blue or brown eyes and subtract that by one to get the fraction of the girls in the class that have neither brown nor blue eyes.
Hope this helps :)
25=2y-5 solve the equation for y
Answers
+5 +5
30 = 2y
/2 /2
y=15
Alicia and Elena each earned $135 doing telephone surveys. Alicia did her surveys in 12 hours. It took Elena 75% as long to do her surveys. How much money did Elena earn per hour? A. $7 B. $11 C. $12 D. $15
Answers
Alicia worked for 12 hours.
Elena worked for 75% of 12 hours = 0.75*12 = 9 hours.
Elena's earning rate is
($135)/(9 hours) = $15 per hour.
Answer: D. $15
Answer:
d 15
Easy. As that
the local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups this morning. How many batches of cookies did the barkey make?
Answers
divide total by amount needed for each batch
5.25 / 1.75 = 3
they made 3 batches of cookies
Which point represents the fraction 3/6???
A
B
C
or
D
????
PLEASE HELP
Answers
c is 1/2 of 1
The point that represents the fraction 3/6 is point B.
Explanation:The point that represents the fraction 3/6 is point B.
When we simplify the fraction 3/6, we obtain 1/2.
To represent a fraction on a number line, we divide the line segment between 0 and 1 into equal parts. Since the denominator is 2, we divide the segment into 2 equal parts. The numerator, 1, represents the number of parts we need to take from the line (starting from 0) to reach the fraction. Thus, we locate point B on the number line to represent the fraction 3/6.
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Charlie made four out of 23 free-throw shots. What percentage of shots does he make? Round to the nearest whole number
Answers
He attempts a total of 23 shots.
His accuracy is 4/23 * 100, or 400/23 %.
He makes 17.39% of his shots.
A softball is thrown straight up, reaching a maximum height of 20 meters, what is the ball's approximate vertical speed when it hits the ground?
Answers
Velocity is the rate of change of distance over time.
The ball's approximate vertical speed when it hits the ground is 19.8m/s
The maximum height of an object, thrown up is calculated as:
[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]
Where:
[tex]\mathbf{h_{max} = 20m}[/tex] --- the maximum height
[tex]\mathbf{v = ??}[/tex] --- final velocity
[tex]\mathbf{g = 9.8ms^{-2}}[/tex] --- acceleration due to gravity
So, we have:
[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]
[tex]\mathbf{20 = \frac{v^2}{2 \times 9.8}}[/tex]
Solve for v^2
[tex]\mathbf{v^2 = 2 \times 9.8 \times 20}[/tex]
[tex]\mathbf{v^2 = 392}[/tex]
Take square roots of both sides
[tex]\mathbf{v = 19.8ms^{-1}}[/tex]
Hence, the ball's approximate vertical speed when it hits the ground is 19.8m/s
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When a softball is thrown straight up and reaches a maximum height of 20 meters, the approximate vertical speed when it hits the ground can be determined by taking into account the initial vertical velocity and the time it takes to reach the maximum height and fall back down. Using the given information, the initial vertical velocity is calculated using the equation v0y = sqrt(2gh), where g is the acceleration due to gravity and h is the maximum height. Substituting the values, the approximate vertical speed is 19.80 m/s.
Explanation:When a softball is thrown straight up and reaches a maximum height of 20 meters, its approximate vertical speed when it hits the ground can be determined using the principles of projectile motion. The vertical speed of the ball when it hits the ground can be calculated by taking into account the initial vertical velocity and the time it takes for the ball to reach its maximum height and then fall back down. In this case, since the ball is thrown straight up, the vertical speed when it hits the ground will be equal to the initial vertical speed.
Using the given information, we know that the ball reaches a maximum height of 20 meters. We can calculate the time it takes for the ball to reach this height using the equation for vertical displacement:
h = v0yt + (1/2)gt2
Where:
h is the vertical displacement (20 meters in this case)v0y is the initial vertical velocity (which we need to find)t is the time it takes to reach the maximum heightg is the acceleration due to gravity (approximately 9.8 m/s2)Since we know the maximum height and the acceleration due to gravity, we can rearrange the equation to solve for the initial vertical velocity:
v0y = sqrt(2gh)
where:
sqrt represents the square rootg is the acceleration due to gravity (approximately 9.8 m/s2)h is the maximum height (20 meters in this case)Substituting the values into the equation, we get:
v0y = sqrt(2 * 9.8 * 20)
Simplifying further:
v0y = sqrt(392)
v0y ≈ 19.80 m/s
Therefore, the approximate vertical speed of the ball when it hits the ground is 19.80 m/s.
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A skydiver jumps out of an airplane. After 0.8 seconds, she has fallen 100 feet. After 3.1 seconds, she has fallen 500 feet. Emtiaz says that the skydiver should fall about 187.5 feet in 1.5 seconds. Is his answer reasonable? Explain.
Answers
g = 32 ft/s², acceleration due to gravity.
Ignore air resistance.
The distance fallen after t seconds is
s = (u ft/s)*(t s) + (1/2)*(32 ft/s²)*(t s)² = ut + 16t²
When t = 0.8 s,
s = 0.8u + 16*0.8² = 0.8u + 10.24
Because s = 100 ft, therefore
u = (100 - 10.24)/0.8 = 112.2 ft/s
When t = 3.1 s,
s = 112.2*3.1 + 16*3.1² = 501.6 ft
This compares favorably with 500 ft.
When t = 1.5 s, then
s = 112.2*1.5 + 16*1.5² = 204.3 ft
This disagrees with the specified value of 187.5 ft
Answer:
The answer is not reasonable.
Reason:
The answer does not obey the equation
s = u + (1/2)gt²
What’s 36/1000 (fraction) Simplified
What’s 506/1000 simplified (fraction)
Answers
506/1000 simplified in fraction form is 253/500.
2. 253/500
These are the simplified versions of the fractions.
A water desalination plant can produce 2*10^6 gallons of water in one day. How many gallons can it produce in 79 days?
Write your answer in scientific notation.
Answers
The water desalination plant can produce 1.58 x 10^8 gallons of water in 79 days, expressed in scientific notation.
To calculate how many gallons of water a desalination plant can produce in 79 days, we will multiply the daily production capacity by the number of days. The plant's daily production capacity is given as 2 x 106 gallons. So, for 79 days, the calculation would be:
(2 x 106 gallons/day) x 79 days = 1.58 x 108 gallons
Expressed in scientific notation, the plant can produce 1.58 x 108 gallons of water in 79 days.
Each small square on the grid is 1 ft².
Which estimate best describes the area of this figure?
25 ft²
35 ft²
50 ft²
65 ft²
Answers
Answer:
50 ft²
Step-by-step explanation:
As you can see the polygon on the grid is not a regular polygon, so to calculate the area would be very complicated without having the right tools, what we can doo is to draw a squre that covers the whole height but not the total length, that way we can take a close estimate of the area, the closest square that can be formed would be a 6x9 square, and the estimated area would be 54, that would be the maximun area, so the answer would be 50 squared feet.
Classify -2x4 - x3 + 8x2= 12 by degree.
Question 12 options:
cubic
quadratic
quartic
quintic
Answers
Quartic is the correct answer.
The solution is Option C.
The equation A = -2x⁴ - x³ + 8x² = 12 is a quartic equation as the degree of the equation is 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
-2x⁴ - x³ + 8x² = 12 be equation (1)
On simplifying the equation , we get
Adding 2x⁴ + x³ on both sides of the equation , we get
2x⁴ + x³ + 12 = 8x²
Subtracting 8x² on both sides of the equation , we get
2x⁴ + x³ - 8x² + 12 = 0 be equation (2)
Now , the highest degree of the variable x in the equation is x⁴ which is 4
Therefore , the equation is quartic
Hence , the equation is 2x⁴ + x³ - 8x² + 12 = 0
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A motorcross rider is in the air for 2.5 seconds. Your camera can take a picture very 0.125 second. Your friend's camera can take a picture every 0.15 second.
a. How many times faster is your camera than your friend's camera?
b. How many more pictures cna you take while the rider is in air?
Answers
b. 3 and 1/3 more pictures