What is 67 percent as a fraction

A school wants to put on a dance recital Middle School dancers have short programs that run 4 minutes long High School performer

sp2606 [1]

Answer: The answer is $\textup{M}+\textup{H}\leq 10~~\textup{and}4\textup{M}+7\textup{H}\leq 90.$

Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.

Number of middle school dances is "M" and number od high school dances is "H".

Since there cannot be more than 10 dances all together, so fisrt inequality can be written as

$\textup{M}+\textup{H}\leq 10.$

Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as

$4\textup{M}+7\textup{H}\leq 90.$

Thus, the pair of inequalities is

$\textup{M}+\textup{H}\leq 10,\\\\4\textup{M}+7\textup{H}\leq 90.$

6 0

2 years ago

Round 7.954 to the place named

Andrej [43]

What is it rounded too?

4 0

2 years ago

Mrs. Smith has a total of 25 kids in her class. There are 3 more boys than there are girls. Write a system of equations to model

Svetlanka [38]

Answer:

b + g = 25

b = g + 3

Step-by-step explanation:

Let b = number of boys.

Let g = number of girls.

"Mrs. Smith has a total of 25 kids in her class."

b + g = 25

"There are 3 more boys than there are girls."

b = g + 3

The system of equations is:

b + g = 25

b = g + 3

6 0

2 years ago

What is 25% of 50000

juin [17]

Answer:

25% of 50000 is 12500

Step-by-step explanation:

To find: 25% of 50000

solution:

25% = $\frac{25}{100}$

hence, 25% of 50000 = $\frac{25}{100}$ $\times$ 50000

= 12500

Therefore, the answer is 12500.

6 0

2 years ago

You deposit $400 into a savings account that earns interest annually. The function g(x) = 400(1.05)x can be used to find the amo

arsen [322]

Answer:

Step-by-step explanation:

The constant percent rate of change in the case of a deposit of $400 into a savings account is compounded annually.

With an example, what is compound interest?

When you add the interest you have already earned back into your principal balance, you are earning compound interest, which increases your profits.

Consider that you have $1,000 in a savings account earning 5% interest annually. If you made $50 in the first year, your new balance would be $1,050.

Principal - $400

rate of interest is compounded annually

g(x) = 400( 1.03)ˣ equation 1.

Formula used

A = P( 1 + r )ⁿ

here n = x

Solution:

Putting the value of n, and principal in the formula

A = P( 1 + r )ⁿ ................... equation 2

now comparing both equation 1 and equation 2,

400( 1.05)ˣ = 400( 1 + r )ˣ

( 1.05)ˣ = ( 1 + r )ˣ

1.05 = 1 + r

r = 1.05 - 1

r = 0.05

r % = 0.05 × 100

r % = 5 %

thus, the constant percent rate of change = 5 %

Learn more about compound interest

brainly.com/question/14295570

3 0

7 months ago