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Answer: £84

Step-by-step explanation:

The number of pupils in the class is 30, and the average number of correct spellings for each pupil is 14.

The total expected correct spellings is 30 x 14 = 420 spellings.

The average sponsorship for each correct spelling is 20p which = £0.20.

Therefore, the number of pounds the class is expected to raise for charity is 420 x 0.20 = £84.

Number of pounds the class is expected to raise for charity is 8400 pounds.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Number of pupils in the class = 30

Average number of correct spellings for each pupil = 14.

The total expected correct spellings is 30 x 14 = 420 spellings.

The average sponsorship for each correct spelling is 20 pounds

The number of pounds the class is expected to raise for charity is 420 x 20 = 8400 pounds

Thus, number of pounds the class is expected to raise for charity is 8400 pounds.

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Answer:

Commutative Property

Step-by-step explanation:

It looks like Associative property which is when you change the GROUP, but actually it’s commutative because it didn’t change any numbers in the group, just the order of where they were.

Associative: (25 + 19) + 15 = (15 + 19) + 25

Commutative: (25 + 19) + 15 = (19 + 25) + 15

It didn’t change the numbers, only the order. Therefore, it would be commutative property

Answer:

25+19=44

44+15=59

19+25=44

44+15=59

Answer:

C

Step-by-step explanation:

s - 7 + 5

s - 2

Answer:

D

Step-by-step explanation:

it is a graph of [tex]x^{2}[/tex]

Answer:

D.) y=x2

Step-by-step explanation:

Look in pic above, on EDGE NUITY I always used to graph to find the answer

Answer:

15

Step-by-step explanation:

scale factor is 1.5

10*1.5 =15

Answer:

1 1/5 cups of soda.

Step-by-step explanation:

To solve this you need to change 3 and 2 1/2 into improper fractions so you get 6/2 and 5/2. Then you have to flip 5/2 so it becomes 2/5 and then you just have to cross cancel. Since the 2 from 2/5 can go into the 2 in 6/2 one time, 2/5 changes into 1/5 and 6/2 changes to 6/1. Now you can multiply across so 6 times 1 is 6 and 1 times 5 is 5 so you get 6/5. Now you have to change it into a mixed number which would be 1 1/5.

I hope this helps you :D

Answer:

430303/200000

Step-by-step explanation:

hope this helps!!!

Answer:

3.3

Step-by-step explanation:

Answer:

The answer is 384.85 yd       to the power of 3

Step-by-step explanation:

πr2h

=  π×3.52×10

=  122.5π

=  384.85

The volume of the given cylinder would be 384.65 cubic yards.

The volume of cylinder is given by -

V = πR²h

Where -

R - Radius of the cylinder

h - height of the cylinder

Given is to calculate the volume of the cylinder with height 10 yd and diameter 7 yd.

For the given cylinder, we have -

Radius of the cylinder : 7/2 = 3.5 yd

Height of the cylinder : 10 yd

So, we can write the volume of the cylinder as -

V = πR²h

V = 3.14 x 3.5 x 3.5 x 10

V = 384.65 cubic yards

Therefore, the volume of the given cylinder would be 384.65 cubic yards.

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Answer:

it is a function

Step-by-step explanation:

Domain is 7 and the range is all the x values

Answer:

The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft

Answer:

7ft

Step-by-step explanation:

2W+2L=20

2(W+L)=20

2(W+(W+4))=20

4W+8=20

4W=12

W=3

or

If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.

7 is the length.

Answer:

16%

Step-by-step explanation:

50 events and C shows 8

50/8 = 16%

Answer:

The Answer is 0.16 = 16%

Answer:

20% of 10= 2 is the answer

hope this helps!

Answer:

Associative property

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The numbers are the terms

6 numbers 6 terms

Answer:

0.666 repetitive, or 0.67

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Substitute x for -3 and y for -1:

= -2(-3) + 6(-1)

= 6 + -6 (or 6 - 6)

= 0

Answer:

discount=25%

selling price=$449

original price=?

Step-by-step explanation:

we have

original price=selling price + discount% of original price

original price-discount% of original price=$449

original price (1-25/100)=$449

original price=$449/0.75=$598.66

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.

Answer:

The employee would earn $320 for a 40-hour work week.

Step-by-step explanation:

Given

To determine

We have to find the employee's earning earn for a 40-hour work week.

First Step

Determining the hourly rate

In order to determine the hourly rate, the first step we need to do is to divide the earning amount by the total number of hours.

Hourly rate = Total Earning amount / Total Time taken

                   = $72.00 / 9 hours

                   = $8.00 per hour

Second Step

Determining the employee's earning earn for a 40-hour work week.

As we have already determined that employee is earning $8.00 per hour.

i.e.

In order to determine the employee's earning for a 40-hour work week, all we need is to multiply the hourly rate i.e. 8 with 40.

Thus,

Earning for 40-hour work week = Hourly rate × 40

                                                     = 8.00 × 40

                                                     = $320

Therefore, the employee would earn $320 for a 40-hour work week.

Answer:

see explanation!

Step-by-step explanation:

Line N

Line M

Any coordinate on N has a sum of 2.

Any coordinate on M has a y that is 10 less than the x.

The matching of the given labeled points provided on the graph regarding their statements would be as follows:

The points that line m represent would be:

Point E  [tex](13, 3)[/tex]

Point B  [tex](6, -4)[/tex]

Point D  [tex](2, -8)[/tex]

The points signalled by line n are as follows:

Point A [tex](-2, 4)[/tex]

Point B  [tex](6, -4)[/tex]

Point C  [tex](12, -10)[/tex]

Now, if we solve for lines

Line m

[tex]x_{1} + y_{1} \\= 13 + 3\\= 16[/tex]

While for Line n

Point A

[tex](x_{1} + y_{1}) = (-2 + 4) \\= 2[/tex]

Point B

[tex]x_{2} + y_{2} = 6 + (-4) \\= 2[/tex]

Thus, the correct match would be as above.

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Answer:

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

Step-by-step explanation:

The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

50 major customers, 15 would accept the plan.

This means that [tex]N = 50, k = 15[/tex]

The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.

This means that [tex]n = 10[/tex]

a. What is the probability that exactly two of the selected major customers accept the plan

This is P(X = 2).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406[/tex]

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

Answer:

a

Step-by-step explanation:

it is the reflection or mirror image

Answer:

4

Step-by-step explanation:

The formula to the area of a triangle is 1/2(base) * height. Since it is asking to find the height and you are given the base, you need to solve:

1/2(6) * x = 12

multiply: 3x = 12

divide: x = 4