Star QuestionMrs Jenkins is organising a charity raffle.She sells 300 tickets for £3 each.The probability that someone wins a prize is 0.2Each prize cost £8The profit is donated to charity.Work out how much monev Mrs Jenkins donates to charity.

Answers

Answer 1

Answer:

Mrs. Jenkins donate £420 to charity.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the singleunit value

We have,

Mrs. jenkins sold= 300 tickets for £3 each

The price of total tickets sold=300x3=900

As, The probability that someone wins a prize is 0.2.

So, 300 /0.2

= 60

Each prize cost £8.so,

=60x8

=480

Thus,

900-480=420

Hence, Mrs Jenkins would give £420 to charity.

Learn more about unitary method here:

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Answer 2

Answer: 300x3=900
300 divided by 5 (0.2 as a fraction 1/5) is 60
60x8=480
900-480=420
Mrs Jenkins would give £420 to charity

hope this helps :)

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A machine that makes softballs can produce 30 balls per hour. In a 5 day work week of 8 hours each day, how many softballs will the machine produce?

Answers

30 balls per hour x 8 hours = 240 balls per day 240 balls x 5 days= 1200 balls

The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?{5, 8}
{-5, -8}
{3, 8}
{4, 7}
{4, 8}

Answers

Answer:

Hence, the domain of the function is:

{4,7}

Step-by-step explanation:

We are given the range of the function:

$f(k)=k^2+2k+1$ as {25,16}

The function f(k) could also be written as:

$f(k)=k^2+2k+1=k^2+k+k+1\n\nf(k)=k(k+1)+1(k+1)\n\nf(k)=(k+1)(k+1)\n\nf(k)=(k+1)^2$

The range is the value of the function at some k.

if f(k)=25 then we have to find the value of k.

$f(k)=25=5^2=(k+1)^2$

on taking square root on both side we have:

$k+1=5\n\nk=5-1\n\nk=4$

if f(k)=64 then we have to find the value of k.

$f(k)=64=8^2=(k+1)^2$

on taking square root on both side we have:

$k+1=8\n\nk=8-1\n\nk=7$

Hence, the domain of the function is:

{4,7}

The domain of a function contains the x-values of the function while the range of the function contains the y-values of the function. In this case, we substitute 25 and 64 to y. Then,
25 = k2 + 2 k + 1 (k-4) * (k+6) = 0
64 = k2 + 2 k + 1 (k-7) * (k+9) = 0
hence the domain is {-9,-6, 4,7}

Write an equation that represents the distance d that Hoshi walks in t seconds

Answers

3.3t=D
T=time
D=distance

write an equation in standard form with integer coefficients for the line with slope 6/11 going through the point (-1,-6)

Answers

If the slope is 6/11 then, in y=mx+b form, m will be 6/11. When you multiply 6/11 and -1 you get -6/11. To get the y (-6), you have to add -60/11. So in, y=mx+b form the equation is y=6/11x+(-60/11). To make it standard form, you add negative 6/11x to both sides and then multiply by 11 to get rid of the fractions. So therefore the equation would be:

-6x + 11y = - 60

4x + 8z = 2. Solve for z

Answers

Step-by-step explanation:

4x + 8z = 2 Subtract 4x from both sides

8z = 2 - 4x Now, divide both sides by 8

z = (2-4x) / 8 or (1-2x) / 4

Which of the following is the inverse of the statement "If I like math, then I like science"?

Answers

the inverse statement means to say the opposite of both the if and then statementSince I don't see your choices this is the statementIf I DO NOT like math then I DO NOT like sciencehope this helps

Answer:

If I do not like math, then I do not like science

Step-by-step explanation:

we know that

To find the inverse of a conditional, negating both the hypothesis and conclusion of a conditional statement

In this problem we have

"If I like math, then I like science"

therefore

the inverse is

If I do not like math, then I do not like science

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