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3 years ago

Ava grades 10 ½ tests in ¾ of an hour. At this rate, how many tests does she grade each hour?

Mathematics

2 answers:

Cloud [144]3 years ago

5 0

Answer:

Step-by-step explanation:

if you set it up as a porportion, 10.5/.75, and you find that in order to make .75 equal to one, you multiply by 1.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...

10.5*1.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...=14

Hope I helped.

dimulka [17.4K]3 years ago

4 0

Answer:

14 tests

Step-by-step explanation:

10 1/2 divided by 3/4 s 14 tests

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Karen is riding her bike at 4 miles per hour she wants to show this on a graph what should she draw

astraxan [27]

Graph needs to be labeled. I labeled it as shown on picture. It also needs a title. The title can be up to you. :) you can title it “Karen riding her bike”

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3 years ago

Molly opened a savings account with a one‐time deposit of $100 that will be left in the account for at least 5 years. The saving

Anettt [7]

The amount of interest Molly will earn after 5 years on a deposit of $\$100$ compounded annually over 5 years is $\$27.63$

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

$A=P(1+r)^t$

where

$A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5$

Substituting the available values into the formula and solving

$A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63$

The interest Molly will earn after 5 years is

$A-P=\$127.63-\$100=\$27.63$

Therefore, the amount of interest Molly will earn after 5 years on a deposit of $\$100$ compounded annually over 5 years is $\$27.63$

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3 years ago

Translate the phrase "in 3 years" into algebraic terms

Semenov [28]

Answer:

In three years can be into algebraic terms as: 3 + x. Where 'x' comes to be today's age.

For example, my age in three years will be:

If I'm 24 years right now, My age in three years = 3 + x ⇒ My age in three years = 3 + 24 = 27.

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3 years ago

You like to watch movies at the local cinema. You have two payment options. Option a is to buy a discount card which will cost y

vfiekz [6]

Answer:

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Step-by-step explanation:

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3 years ago

Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1

Leona [35]

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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2 years ago