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3 years ago

Choose the item that has measurable volume.

Mathematics

1 answer:

irakobra [83]3 years ago

6 0

Answer:

A water bottle

Step-by-step explanation:

It's a water bottle because you cannot measure volume with a dollr bill or postage stamp.

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The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 stude

disa [49]

Answer: 15

Step-by-step explanation:

Given: The present ratio of students to teachers at a certain school is $30$ to $1$ . If the student enrollment were to increase by $50$ students and the number of teachers were to increase by $5$ , the ratio of students to teachers would then be $25$ to $1$ .

To Find: What is the present number of teachers.

Solution:

let the number of teachers in schools are $=\text{x}$

As the current ratio of students to teachers is $30$ to $1$

Number of students in school are $=30\text{x}$

Now,

If number of student enrollment and teachers were to increase by $50$ and $5$ respectively.

New number of students in school would be $=30\text{x}+50$

New number of teacher in school would be $\text{x}+5$

new ratio of students to teachers is $25:1$

$\frac{30\text{x}+50}{\text{x}+5}=\frac{25}{1}$

$30\text{x}+50=25\text{x}+125$

$5\text{x}=75$

$\text{x}=15$

Hence the number of teachers in school is $15$

5 0

4 years ago

Point A is located at -0.75 and point B is located at on a number line.

scoundrel [369]

Point c would be Positive 0.75 because it’s the opposite of -0.5 because they are the same distance from b

8 0

3 years ago

5th grade pls help ik my pfp is my face but I look like a different grade

Andrew [12]

Answer:

Step-by-step explanation:

First, you divide the 10 and the 5, which leaves you with 2. Then you do 15-2+5 from left to right, and it equals 18.

(hope this helps...brainliest??)

3 0

3 years ago

Water flows at a constant rate out of a faucet. Suppose the volume of water that comes out in three minutes is 10.5 gallons. How

Harrizon [31]

Answer:

3.5

Step-by-step explanation:

Divide 10.5 by 3.

Hope this helps! :)

5 0

3 years ago

Read 2 more answers

Mike invested a total of $25,000, some money in stocks and some money in bonds. The stocks earned 7% simple interest while the b

Over [174]

He invested $6500 in bonds

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

P is the invested amount
r is the rate of interest in decimal
t is the time of investment

Assume that Mike invested $x in stocks and $y in bonds

∵ Mike invested $x in stocks

∵ Mike invested $y in bonds

∵ Mike invested a total of $25,000

∴ x + y = 25000 ⇒ (1)

∵ The interest rate of the stocks is 7%

∴ r of the stocks = 7 ÷ 100 = 0.07

∴ I (stocks) = x(0.07)(1)

∴ I (stocks) = 0.07x

∵ The interest rate of the bonds is 11%

∴ r of the bonds = 11 ÷ 100 = 0.11

∴ I (bonds) = y(0.11)(1)

∴ I (bonds) = 0.11y

∵ Mike earned $2010 interest on his investments

- Equate the sum of I (stocks) and I (bonds) by 2010

∴ 0.07x + 0.11y = 2010 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -0.11 to eliminate y

∵ -0.11x - 0.11y = -2750 ⇒ (3)

- Add equations (2) and (3)

∴ -0.04x = -740

- Divide both sides by -0.04

∴ x = 18500

- Substitute the value of x in equation (1) to find y

∵ 18500 + y = 25000

- Subtract 18500 from both sides

∴ y = 6500

∵ y represents the amount of money he invested in bonds

∴ He invested $6500 in bonds

He invested $6500 in bonds

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

5 0

3 years ago