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Gelneren [198K]

3 years ago

14

Solve. 12 students in the classroom and she wants to create a student to teacher ratio of three to one (three students per teach

er). how many teachers must she hire?

1 answer:

Natasha2012 [34]3 years ago

7 0

She will need a one to one ratio so to get to your ratio you need to take your 3 to 1 ratio and divide it by the 1 on 1 ratio

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The sum of 3y and 5 is 47

Daniel [21]

if 3y + 5 = 47

then

y=14

7 0

3 years ago

Colleen bought a cup of coffee that had 32 ounces in it. She drank 8 ounces of the coffee. What percent of the coffee is left?

Andreas93 [3]

75% is left in the cup

3 0

3 years ago

Read 2 more answers

Georgia has a budget of $8 for a new notebook. She wants to spend within $5 of her budget, so she uses the equation 5 = |8 – x|

siniylev [52]

Answer:

Minimum: 3

Maximum: 13

Step-by-step explanation:

Georgia uses the equation

5 = |8 – x| to find the maximum and minimum values.

We solve the equation for x.

$5 = |8 - x|$

By the definition of the absolute value function, we must have:

$- 5 = 8 - x \: or \: 5 = 8 - x$

We subtract 8 from both sides to get:

$- 5 - 8 = - x \: or \: 5 - 8 = - x$

$- 13 = - x \: or \: - 3 = - x$

This simplifies to:

$13 = x \: or \: 3 = x$

Therefore the minimum value is 3 and maximum is 13

5 0

3 years ago

The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l

miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

3 0

3 years ago

The coldest temperature recorded on the surface of a planet was - 248 Celsius is the warmest temperature recorded on the surface

Snowcat [4.5K]

Answer:

-414.4 F° and 226.4 F°

hope it helps

7 0

2 years ago