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3 years ago

The number sentence is an example of which multiplication property 67=(65)+(6*2)

Mathematics

2 answers:

lbvjy [14]3 years ago

8 0

Distributive property

Bas_tet [7]3 years ago

4 0

Should be distributive property

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The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe

Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is $1.979\ in$

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

$V=20*10*15=3,000\ in^{3}$

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

$V=20*10*(15-2)=2,600\ in^{3}$

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=1\ in$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(1)^{3}$

$V=4.2\ in^{3}$

step 4

What is the new distance from the water to the top of the tank?

we know that

$2 in -----> represent (3,000-2,600)=400\ in^{3}$

using proportion

Find how many inches correspond a volume of $4.2\ in^{3}$

$\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in$

The new distance from the water to the top of the tank is

$2-0.021=1.979\ in$

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to $4.2\ in^{3}$

using proportion

$\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls$

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0

3 years ago

A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.<br>

REY [17]

2 weeks = 14 day

14 * 15 = 210 seconds

210/60=3 hours and 30 minutes or 3.5 hours.

8 0

2 years ago

Justin recently drove to visit his parents who live 300 miles away. On his way there his average speed was 11 miles per hour fas

Lynna [10]

Answer:

x=1

Step-by-step explanation:

5 0

2 years ago

Calculate the mean and variance of the sample data set provided below. show and explain your steps. round to the nearest tenth.

eimsori [14]

Mean = (14 + 16 + 7 + 9 + 11 + 13 + 8 + 10) ÷ 8 = 11

Variance =
[ (14-11)²+(16-11)²+(7-11)²+(9-11)²+(11-11)²+(13-11)²+(8-11)²+(10-11)² ]/7 = 9.71

Answer: 9.71

6 0

3 years ago

Brenna is a makeup artist and carries a lot of makeup around with her. She has 16 cosmetics

damaskus [11]

Answer:

4/16

Step-by-step explanation:

7 0

2 years ago

The number sentence is an example of which multiplication property 6*7=(6*5)+(6*2)

The number sentence is an example of which multiplication property 67=(65)+(6*2)