Joe works for a charity. Each year the charity gives money to different projects. The charity has a total of eight thousand nine hundred and sixty-eight pounds to give to the projects this year.

Answers

Answer 1

Answer:

[tex]Each =\pounds 1121[/tex]

Step-by-step explanation:

See comment for complete question.

Given

[tex]Total = \pounds 8968[/tex]

[tex]Projects = 8[/tex]

Required

Determine the amount allotted to each

From the question, we understand that each project gets each allocation.

So, the amount of each is:

[tex]Each =\frac{Total}{Projects}[/tex]

[tex]Each =\frac{\pounds 8968}{8}[/tex]

[tex]Each =\pounds 1121[/tex]

Each project gets £1121


Related Questions

Calculate the product: 48×38.

Answers

Answer:

1824

Step-by-step explanation:

48 x 38 =1824

The main height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

Answers

Complete Question

The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

Answer:

Center Z score = 4.5

The score is unusual

Step-by-step explanation:

The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?

The formula for z score is:

z = (x-μ)/σ, where

x is the raw score = 6.9feet

μ is the population mean = 6feet

σ is the population standard deviation = 0.2 feet

Hence:

Z = 6.9 - 6/0.2

Z = 0.9/0.2

Z = 4.5

Yes this score is unusual

You are building a doghouse for Fido, your loyal poodle. The blueprint of the doghouse uses a scale of 1 : 14. The floor of the doghouse measures 2" x 2.5" on the blueprint.

Answers

Answer:

28" x 35"

Step-by-step explanation:

Based on the ratio we see that for every 1 inch in the blueprint there are a total of 14 inches in the real-life model of the doghouse. Therefore, in order to find the actual dimensions of the real-life doghouse we simply need to multiply the individual length and width dimensions of the blueprint by 14. Since the real-life model is 14 times bigger according to the ratio.

2 * 14 = 28

2.5 * 14 = 35

Finally, we can see that the real-life doghouse has a the following dimensions 28" x 35"

Hello can someone pls help me with this!

Answers

Answer:

slope = 6x

Step-by-step explanation:

the formula to find slope between 2 points is "m = (y2 - y1)/(x2-x1)", or "m = rise/run". so when you plug in the numbers, you get "m = (12 - 6)/(2 - 1)", which gives you "m = 6/1", which is just 6x.

Answer:

Slope = 6

Step-by-step explanation:

From the graph we get:

(x1, y1) = (1, 6) and

(x2, y2) = (2, 12)

Slope = (y2 - y1) / (x2 - x1)

= (12 - 6) / (2 - 1)

= 6 / 1

= 6

Type the missing number in this sequence:
1,
,
36,
216,
1,296

Answers

It’s 6, because each number is multiplied by 6 in the sequence. For instance, 1 times 6 is 6. 6 times 6 is 36. 36 times 6 is 216, and so on and so forth.

Two possible plans for a new bathroom are shown. Is there a value of x for which the perimeters are equal? Show your work. Explain the reasoning.

Answers

Answer:

There is no value of x to fit this requirement.

Step-by-step explanation:

The 2 perimeters in terms of x are:

4(x + 3) for the square and

2(x+1) + 2(x +4)  for the rectangle

and these need to be equal so

we equate these 2 and solve for x:

4(x + 3) = 2(x+1) + 2(x +4)

4x + 12 = 2x + 2 + 2x + 8

4x + 12 = 4x + 10

4x -  4x = 10 - 12

0 = -2   which is of course absurd so there is no solution to this equation.

Answer:

(x+3)•4=(x+4)•2+(x+1)•2

Step-by-step explanation:

4x+12=2x+8+2x+2

4x-2x-2x=-12+8+2

0=-2

this expression is indeterminate.

The measure of ∠A is 12° greater than the measure of ∠B. The two angles are complementary. Find the measure of each angle.

The m∠A is __° and m∠B is __°.

Answers

Answer:

39° = m∠A

51° = m∠B

Step-by-step explanation:

Complementary angles have a sum of their measures = 90

Let x = m∠B

then x + 12 = ∠A

m∠A + m∠B = 90

x + 12 + x = 90

2x + 12 = 90

2x = 78

x = 39° = m∠A

x + 12 = 39 + 12 = 51° = m∠B

The measure of ∠A is 39°.

The measure of ∠B is 51°.

Here,

The measure of ∠A is 12° greater than the measure of ∠B.

The two angles are complementary.

We have to find the measure of each angle.

What is Complementary angle?

Complementary angles have a sum of their measures is 90°.

Now,

The measure of ∠A is 12° greater than the measure of ∠B.

Let  m∠B = x

Then, ∠A =  x + 12

The two angles are complementary.

Hence,

m∠A + m∠B = 90

x + 12 + x = 90

2x + 12 = 90

2x = 78

x = 39°

And, x + 12 = 39 + 12 = 51°

Hence, The m∠A is 39° and m∠B is 51°.

Learn more about the complementary angle visit:

https://brainly.com/question/16281260

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Which value from the set {3, 12, 18, 27} makes true?

????????????

Answers

Answer:

The answer would be 27

Step-by-step explanation:

You need to multiply 9 to both sides. Please mark me brainliest.

Which types of dilation are the given scale factors? Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.​

Answers

Answer:

Expansion

Contraction

Expansion

Contraction

Step-by-step explanation:

The correct type of dilation for given scale factors are 1) contraction, 2) contraction, 3) expansion 4) contraction

What is dilation?

Dilation is a type of transformation in geometry, in which the original figure changes its scales, either reduce or enlarge.

Given are scale factors,

Scale factor symbolized by k,

We know that, when k > 1, the figure expands or enlarge.

When k < 1, the figure reduces or contract.

And when k = 1, the figure is congruent to the dilation.

1) -5 = (contraction)

1 > -5, therefore, figure is contraction.

2) -1/4 = (contraction)

1 > -1/4, therefore, figure is contraction.

3) 3.5 = (expanding)

1 < 3.5, therefore, figure is expanding.

4) 6/7 = (contraction)

6/7 = 0.8571 < 1, therefore, figure is (contraction)

Hence,  -5 = (contraction),  -1/4 = (contraction),  3.5 = (expanding) and 6/7 = (contraction)

For more references on dilation, click;

https://brainly.com/question/13176891

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Aiden has two toy cars that measure two and one fourth inches, three that measure two three eight inches, one that measures two and seven eights inches, one that measures 2 and one eights inches, and one that measures two and three fourths inches. How long is aidens longest toy car.

Answers

Answer:

So, the longest toy car length is [tex]2\frac{7}{8}inches[/tex]

Step-by-step explanation:

Given - Aiden has two toy cars that measure two and one fourth inches,

            three that measure two three eight inches, one that measures two

            and seven eights inches, one that measures 2 and one eights

            inches, and one that measures two and three fourths inches.

To find - How long is Aiden's longest toy car.

Proof -

Measure of 1st car - 2 inches

Measure of 2nd car - [tex]\frac{1}{4} inches[/tex] = 0.25 inches

Measure of 3rd car - [tex]2\frac{3}{8} inches[/tex] = 2.375 inches

Measure of 4th car - [tex]2\frac{7}{8}inches[/tex] = 2.875 inches

Measure of 5th car - [tex]2\frac{1}{8}inches[/tex] = 2.125 inches

Measure of 6th car - [tex]2\frac{3}{4}inches[/tex] = 2.75 inches

So, the longest toy car length is [tex]2\frac{7}{8}inches[/tex] (2.875 inches )

PLEASE HELP ITS REALLY EASY PLS IM DESPERATE AHHHH PSLPLSPLS

Answers

The answer is the last one I got it right

SOMEONE PLEASE HELP ME WITH THIS QUESTION, AND PLEASE SHOW WORK. ASAP

Answers

Answer:

52cm

Step-by-step explanation:

6^2 = 36

4^2 = 16

16+36= 52

please help quickly!! thanks!! :))

Answers

ANSWER:D

Explained:
When in form y=mx+c , the c is the y intercept

Y^2=-x^2 +64
Y=-x + 8

For circle to cut x axis y must = 0
So Y=-x+8 becomes...
0=-x+8 |minus 8 from both sides
-8=-x
So x=8

When the angle of elevation to the sun is 52", a tree casts a shadow that is 13 feet long. What is
the height of the tree? Round to the nearest tenth.

Answers

Answer:

72

Step-by-step explanation:

Answer:

x=10.156713

Step-by-step explanation:

tan(52)=13/x

x^2-4x+3=0 determine the nature of the roots​

Answers

x^2 - 4x + 3 = 0

Factor the left side.

What two numbers when multiplied yield 3 but when added yield the middle coefficient -4?

How about -1 times -3?

Yes, (-1)(-3) is 3 but when added yield -4.

(x - 3)(x - 1) = 0

Set each factor to 0 and solve for x.

x - 3 = 0

x = 3

x - 1 = 0

x = 1

The word root is just another word for solution or the zero of a polynomial.

Answer: x = 1 or x = 3 are the roots.

Quadrilateral FGHI is dilated by a scale factor of to form quadrilateral F'G'H'I.
What is the measure of side I'F'?
H
62.6
I
56
28
56

Answers

Answer:

I’F’ = 21

Step-by-step explanation:

To find the length of I’F’

We perform the dilation on IF using the given dilation factor

All we have to do here is to multiply the length of IF by the dilation factor

We have this as ;

28 * 3/4 = 21

What is the average rate of change over the interval 1≤x≤3

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-2))/(3 -1) = 6/2

  m = 3

The average rate of change on the interval is 3.

Which group of numbers is listed from greatest to least? -3, -4, -7, -8, -9 9, 7, 6, -5, -4 8, -6, 5, -4, 1 -3, -1, 0, 2, 7

Answers

-3,-4,-7,-8 the lower the negative number is, the greater they are. Hope. is helps

HELPPPPPPP!!!!!! i need this today

Answers

Answer:

(d) 78√3

hope it is right answer for it !!

Which of the following systems of linear equations has no solution?

Answers

Answer:

3rd choice

Step-by-step explanation:

The answer is the 3rd choice.

x cannot be 3 and 5 at the same time.

x = 3

x = 5

Subtract the first equation from the second equation.

x - x = 5 - 3

0 = 2

Since 0 = 2 is a false statement, there is no solution.

Answer: 3rd choice

Select all the values that are equivalent to -(7/8)

Answers

Answer:

last option

the correct answer is

- (- 7 / - 8)

A square has a diagonal length of 13m what is the side length of the square round to the nearest centimeter?

Answers

Answer:

a≈9.19m

Step-by-step explanation:

Write the expression as a power of 3
Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help

Answers

Answer:

14. Answer : 3² . 3³ . 3¹ . 3⁴

Answer:

14. Answer : 3² . 3³ . 3¹ . 3⁴

Step-by-step explanation:

because I just know

1x+2x+3x=180 find the measure of each angles.

Answers

Answer:

x=30 is the answer no hate if I'm wrong :)

Step-by-step explanation:

The sum of angles in a triangle is 180 so we add them all and we get x=30.

Then find the measure of each angle by substitution.

Please help me thanks

Answers

Answer:

2

Step-by-step explanation:

I hope thank you 2 is the answer hope it helps nphope a

In a game, the player wins if he rolls a 4 on a number cube (six sides). If the number cube is rolled 24 times, then what is a reasonable prediction for the number of times a 4 will be rolled?

Answers

Answer:

6

Step-by-step explanation:

ℎ 4 6

[tex]24 \div 4 = 6[/tex]

30=-6x+6

Solve the equation

Answers

Answer:

-4

Step-by-step explanation:

24 = -6x

-4 = x

............

Answer:

x = -4

Step-by-step explanation:

30 = - 6x + 6

- 6x = 30 - 6

- 6x = 24

- x = 24 / 6

- x = 4

x = - 4

Explore equivalent ratios by using the slider. Complete the sentences below. For every __ apples, there are 6 oranges.

Answers

Answer:

For every 2 apples, there are 6 oranges

Step-by-step explanation:

I got it on khan so trust me

(P. S. could u give me brainliest?)

Helpppp meeee please☹️

Answers

it's B because the input is put together in only one output.

Answer:

B

Step-by-step explanation:

A function's x should not repeat, but the y can !

Input=x

Output=y

Expressed in simplest radical form, the product of √6 and √15 is

Answers

Simplest product of 6 is 2.449 and 15 is 3.872
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