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Margarita [4]
2 years ago
14

For any two integers x and y, |x + y| = |x| + |y|. _ is this true or false if false provide counterclaim

Mathematics
1 answer:
Klio2033 [76]2 years ago
7 0

False.

Let <em>x</em> = -1 and <em>y</em> = 1. Then <em>x</em> + <em>y</em> = 0, so that

|<em>x</em> + <em>y</em>| = |0| = 0

but

|<em>x</em>| = |-1| = 1

|<em>y</em>| = |1| = 1

|<em>x</em>| + |<em>y</em>| = 1 + 1 = 2

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There are 90 flowers in the bunch. 60% of the flowers are yellow. How many flowers are yellow?
kondaur [170]

Answer: 54 flowers

Step-by-step explanation:

0.6 is 60% as a decimal

90 * 0.6 = 54

Thus, since 60% of 90 is 54 and 60% of the flowers are yellow, 54 flowers are yellow.

7 0
2 years ago
Solve the following literal equation for y. -7x+8y=11
solmaris [256]
Answer: y = 11/8 +7x/8
process: add 7x to both sides of the equation 8y=11+7x
Divide each term in 8y=11+7x by 8 and simplify
3 0
2 years ago
A box has a volume of 144 in3 and a height of 4 1/2 in.What is the base area of the box?
Zepler [3.9K]

Box volume can be computed by getting the base area multiplied by the total height.

in formula for volume we have,

V = Base Area x H. Given the Volume of 144 cu in and H = 4.5 in. we can solve for Base Area (BA)

Volume (144 cu in) = BA x Height (4.5 in)

BA = 144 cu in/4.5 in

Base Area = 32 square inches

8 0
3 years ago
Solve the equation (2^2x)/( 2^x+5) = 1 algebraically using two different initial steps as directed below.
NikAS [45]

Answer:

x = 5

Step-by-step explanation:

Given equation as:

\frac{2^2x}{2^{x+5}} = 1

now,

writing each side as power of 2

2⁰ = 1

therefore,

\frac{2^2x}{2^{x+5}} = 2⁰

also, we know the property that , when the number having the same bases gets divided , the powers of the number gets subtracted

therefore,

2^{2x-(x+5)}  = 2⁰

now for the equality the power of 2 both sides should be equal

thus,

⇒ 2x-(x+5) = 0

or

⇒ 2x = x + 5

or

⇒ 2x - x = 5

or

⇒ x = 5

7 0
3 years ago
Each of two sides of a triangle is 8 in. longer than the third side
dusya [7]

Answer:

Each side i

Step-by-step explanation:

3 0
3 years ago
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