Mathematics High School

Amy, Becky and Chloe went shopping.
Becky spent only 15% of what Chloe spent.
However, Amy spent 60% more than Chloe.
Together they spent £55.

How much did Amy spend?

Answers

Answer 1

Let's say Chloe spent X

Then Amy spent 60% more so Amy spent

X+60% of X =X + 0.6X =1.6X

Becky spent 15% of what Chloe spent so amount spent by Becky =15% of X = .15X

Now, in total, they spent 0.15X+ X + 1.6X =2.75X which is given as £55

So , X=55/2.75 = 20

Amount spent by Amy = 1.6X = 1.6 *20 =£32

Related Questions

a ball of radius 14 has a round hole of radius 4 drilled through its center. find the volume of the resulting solid.

Answers

Therefore, the volume of the resulting solid is approximately 35728.458 cubic units.

To find the volume of the resulting solid, we can subtract the volume of the hole from the volume of the ball.

Volume of the ball: V_ball = (4/3) * π * (radius)^3

Volume of the hole: V_hole = (4/3) * π * (radius_hole)^3

In this case, the radius of the ball is 14, and the radius of the hole is 4.

Volume of the resulting solid = V_ball - V_hole

= (4/3) * π * (14^3) - (4/3) * π * (4^3)

= (4/3) * π * (14^3 - 4^3)

= (4/3) * π * (2744 - 64)

= (4/3) * π * 2680

≈ 35728.458 cubic units

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brayden bought supplies for his camping trip. he gave the cashier 45.00 and reciveied 16.02 in change how much did he spend on the camping trip ?

Answers

Answer: $28.98

Step-by-step explanation:

To find how much he spent, all you have to do is subract 45.00 and 16.02. 45.00-16.02 is 28.98. So, he spent $28.98 on the camping trip!

Hurry please!!
Which linear equation represents the graph?A) y=-3x - 2
B) y = 3x + 2
C) y=-1/3x+2
D) y= 1/3 x - 2

Answers

Answer:

A) y = -3x -2

Step-by-step explanation:

1. start at point (-1,1)

2. move down 3 (-3) and over to the right 1 (1)

3. that makes your slope -3/1 which is just -3.

4. find your y-intercept: -2

5. using y=mx+b, plug in your numbers and you get

6. y = -3x -2

Hope this helps! Brainliest, please!

Quadrilateral ABCD is a rectangle. BE=3x−7 and AC=8x−20. What is BE?

Answers

The length of the segment BE is 2 units.

What is the rectangular shape?

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

Quadrilateral ABCD is a rectangle.

BE=3x−7 and AC=8x−20.

E is the intersection point of the diagonals.

So,

AC/2 = BE

(8x−20)/2 = 3x−7

4x - 10 = 3x - 7

x = 3

So, BE = 2

Therefore, BE = 2 units.

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In the last 2 years the
price of squishmellows has
gone up by $5 each. If
squishmellows originally
cost $10 what was the
percent change?
Hint: use the proportion
forumula

Answers

Answer:

50%

Step-by-step explanation:

Answer:

50% !! for sure :)

Step-by-step explanation:

A candy box is made from a piece of cardboard that measures by inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume?.

Answers

The maximum volume square candy box to be cut out is 2.88 inches.

What is termed as the maximum volume?The highest values of a dimensions when taking account for measurement error provide the greatest volume of a shape with measured dimensions.

If the size of the squares to also be cut out is x, then

the length of the rectangular candy box to also be formed will become 25 - 2x, the width 14 - 2x, and the height x after the squares have been cut out from each corner.

A rectangular box's volume is provided by length x width x height.

V = (25 - 2x)(14 - 2x)x = x(350 - 78x + 4x²)

V = 350x - 78x² + 4x³

For the maximum volume of the candy box.

dV/ dt = 0

Differentiate the volume with respect to time.

dV/ dt = 350 - 156x + 12x².

Then,

350 - 156x + 12x² = 0

Solve the above quadratic equation by the quadratic formula and find the roots as-

x = 10.12 and 2.88

However, the size of a square cut out cannot be 10.12 because 10.12 inches cannot be cut from both sides of a 14-inch width.

As a result, the maximum volume square to be cut out is 2.88 inches.

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Rafael is building a frame in the shape of a square. The area of the frame is 40 square inches. Find the length of the side of the frame to the nearest inch.

Answers

The length of the side of the frame will be 6.33 to the nearest inch.

What is the area of the square?

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square would be;

Area of the square = a² square units

We have been given that Rafael is constructing a square-shaped frame. And the frame has a 40 square inches surface area.

A = a²

40 = a²

a = √40

a = 6.33 inches

Hence, The length of the side of the frame to the nearest inches will be 6.33 to the nearest inch.

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[10 points] Hotdog Palace was facing labor shortage (and higher per-hour labor cost) in the last month. Following table shows the production statistics.
November
December
Orders fulfilled
3537
2945
Labor cost
$9800
$9000
Material cost
$3500
$3500
Overhead costs
$2000
$2000 a. What is the multi-factor productivity in November? Show calculations to earn credit.
b. What is the multi-factory productivity in December? Has the productivity increased or decreased?
c. What is the percentage of productivity change? Show calculations to earn credit. Is it an increase or decrease?
d. Hotdog Palace has decided not to change the price of the food. What can you predict about the profits of Hotdog Palace? Explain your reasoning.

Answers

a. Multi-factor productivity in November: 0.231 b. Multi-factor productivity in December: 0.203 c. Percentage of productivity change: -12.12% d. Predicted impact on profits: It experience reduced profitability.

a. To calculate the multi-factor productivity in November, we use the formula:Multi-factor productivity = Output / (Labor cost + Material cost + Overhead costs). In November:

Output = Orders fulfilled = 3537

Labor cost = $9800

Material cost = $3500

Overhead costs = $2000

Multi-factor productivity = 3537 / (9800 + 3500 + 2000) = 3537 / 15300 ≈ 0.231

b. To calculate the multi-factor productivity in December, we use the same formula:In December:

Output = Orders fulfilled = 2945

Labor cost = $9000

Material cost = $3500

Overhead costs = $2000

Multi-factor productivity = 2945 / (9000 + 3500 + 2000) = 2945 / 14500 ≈ 0.203. The productivity has decreased from November to December.

c. The percentage of productivity change can be calculated using the formula: Percentage of productivity change = ((New productivity - Old productivity) / Old productivity) * 100

Percentage of productivity change = ((0.203 - 0.231) / 0.231) * 100 ≈ -12.12%. The productivity has decreased by approximately 12.12%.

d. Since the productivity has decreased and the price of the food remains unchanged, it suggests that the costs have increased relative to the output. This can have a negative impact on the profits of Hotdog Palace. With higher labor costs and potentially lower productivity, the company may experience reduced profitability unless it takes measures to address the labor shortage and improve productivity.

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Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He covered a distance of 250km during this time. Calculate his average speed between this time duration.

Answers

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

⇒ Average speed = 100 km/h

-3x - 6+ (-1)
help!!!!

Answers

Answer:

-3x = 7 .

Step-by-step explanation:

-3x - 6 - 1 =

-3x - 7

Hope that helps!

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

(a+1)(b+2)
please help me!!!

Answers

Answer:

(a + 1) (b + 2 ) = 2a + b + ab + 2

Step-by-step explanation:

$(a +1 )(b + 2) \\\\= a( b+ 2) + 1 (b +2) \\\\= ab + 2a + b + 2\\\\=2a + b + ab + 2$

Answer:

$(a + 1)(b + 2) \\ = a(b + 2) + 1(b + 2) \\ = ab + 2a + b + 2$

Answer ↦ $\boxed{\tt{ab + 2a + b + 2}}$

Method Used:

↦ Distributive Property.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

the square root of 31 is between which two numbers !!! ILL GIVE YOUU A BRANLIESTTT!!

Answers

Answer:

The square root of 31 is 5.5 (not including numbers after that, just those two work) therefore it's in between the two numbers of 5 and 6.

Answer:

5.56776436283

Step-by-step explanation:

i googled it

What is the coefficient of the third term of the polynomial? (In other words, what is C?)

(x + 2)(x² −3x − 2) = x³ −x² −Cx − 4

Answers

Answer = 8

See the attached photo

What is the coefficient of the third term of the polynomial? (In other words, what is C?)(x + 2)(x 3x

Study the table.

x y
–2
8
–1
2
0
0
1
2
2
8

Answers

Answer:

Step-by-step explanation:

A bike that weighs 22 pounds and 3 ounces weighs a total of ____ounces.

Answers

Answer:

355 ounces

Step-by-step explanation:

Okay! We're going to have to use some conversion factors for this problem, since we're working with two different units (pounds and ounces). We know that there are 16 ounces in a pound - that's our first conversion factor. We can use it to write up a little equation to help us:

$\frac{22lbs}{1} *\frac{16oz}{1lb} + 3 = x$

"x" is the total amount of ounces. Does everything in that equation make sense? The first multiplication part tells us how many ounces are in 22 pounds, and the second part (+ 3) adds the 3 ounces that were there from the beginning. Now, it's time to calculate.

$\frac{22bs}{1} *\frac{16oz}{1lb} + 3 = x\\$

$\frac{352oz}{1} + 3 = x$

$352+3 = x$

$x=355$

So, there are 355 ounces in a bike that weighs 22 pounds and 3 ounces. Hopefully that's helpful! :)

In a class of 29 students, 19 are female and 14 have an A in the class. There are 8 students who are male and do not have an A in the class. What is t

Answers

If In a class of 29 students, 19 are female and 14 have an A in the class then 2 male students have an A in the class.

We can calculate the number of students who are male and have an A in the class by subtracting the given values from the total number of students.

Total students = 29

Female students = 19

Male students = Total students - Female students = 29 - 19 = 10

Students with an A = 14

Male students without an A = 8

To calculate the number of male students with an A, we subtract the number of male students without an A from the total number of male students.

Male students with an A = Male students - Male students without an A = 10 - 8 = 2

Therefore, there are 2 male students who have an A in the class.

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PLEASE HELP ME RIGHT ANSWERS ONLY Your gas-powered weed trimer has a tank that holds 0.72 gallons. If you burn 0.13 gallons every time you trim around your house, how many times can you trim the weeds without refilling the tank?