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2 years ago

12

Patty says that if you add the same negative integer five times, the sign of the sum is negative and its size is five times the

size of the original integer.
For example:
(-7) + (-7) + (-7) + (-7) + (-7)
= 5 x (-7)
= - 35

Is Patty’s statement true for all integers?

1 answer:

Elanso [62]2 years ago

8 0

Her statement is true because multiplication is repeating addition

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According to the number line, what is the distance between points A and B?

sleet_krkn [62]

Answer:

14 units

Step-by-step explanation:

12-(-2)=14

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3 years ago

Read 2 more answers

4.5/5.5 simplified ? thanks!

Scrat [10]

Answer:

Step-by-step explanation:

You can multiply the numerator and denominator by 2

(4.5/5.5)(2/2)=9/11

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3 years ago

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

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

so

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

(3 + 8i) + (7 -- 2i) - (6 - 5i)<br> AO 4+1<br> B.O4 + 117<br> c. 16 +1<br> D.O4 + 1143

Lubov Fominskaja [6]

Answer: (3 + 8i) + (7 -- 2i) - (6 - 5i) = 4 + 15i

_____________________________________________

Simplify the expression.

4 + 15i

_____________________________________________

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3 0

2 years ago

Write the product in its simplest form<br>-3y.3y4<br>Enter the correct answer.

Sauron [17]

Answer:

$\large\boxed{-9y^5}$

Step-by-step explanation:

$-3y\cdot3y^4=(-3\cdot3)(y\cdot y^4)\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=-9y^{1+4}=-9y^5$

5 0

3 years ago