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2 years ago

the ratio of girls to boys in the six grade class is seven to six. If there are 84 girls, how many boys are in the six grade

Mathematics

1 answer:

padilas [110]2 years ago

4 0

There are 72 boys. 7:6 = 84:?, divide 84 by 7, you get 12. Multiply 6 by 12 to get the answer.

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Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?

iren [92.7K]

Answer:

44 fluid ounces of lemonade are left.

Step-by-step explanation:

Given:

Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = $9\frac{1}{2}\ cups.$

As, 1 cup = 8 fluid ounces.

So, by conversion factor:

$9\frac{1}{2} \times 8$

$=\frac{19}{2} \times 8$

$=9.5\times 8=76\ fl.\ oz.$

Thus, Tate fill the container of lemonade with = 76 fl. oz.

Tate drinks lemonade = 32 fl. oz.

Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

$76-32$

$=44\ fl.\ oz.$

Therefore, 44 fluid ounces of lemonade are left.

3 0

3 years ago

You are paid $8.90 an hour for a 35-hour work week. You would like to work 5 hours a week overtime to earn extra money. How much

jeyben [28]

Answer:

$66.75 is what you'll make from over time.(this does not include the pay from the 35 hours this is only the over time)

Step-by-step explanation:

If you were to work (WITH OUT OVERTIME) you would have $311.50

If you were to work (WITH OVERTIME INCLUDED) you would get $378.25

5 0

3 years ago

1. If OQ and RT are parallel lines which statement is true?

Kaylis [27]

Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]

C). m∠OPS + m∠OPN = 180° [Linear pair of angles]

D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

And m∠TSP + m∠TSU = 180° [Linear pair of angles]

Therefore, Option (A) is the correct option.

Question (2).

A). m∠RSP + m∠RSU = 180° [Linear pair of angles]

B). m∠RSP + m∠PST = 180° [Linear pair of angles]

C). ∠RSP ≅ ∠TSU [Vertically opposite angles]

D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]

Therefore, Option (C) will be the answer.

3 0

2 years ago

Read 2 more answers

Evaluate the diagram below.

Rzqust [24]

Answer:

m∠LPM= 38°

m∠MPN= 142°

m∠KPJ= 52°

6 0

2 years ago

Need help on geometry!!!

FromTheMoon [43]

The mid point of DE is (3,-1)
This can be found with Pythagorean Theorem

The length of “a” is 6. The length of “b” is 4.
The length of DE is ≈ 7.21. The midpoint of this value is found at coordinates (3,-1)

8 0

3 years ago