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3 years ago

Are these correct? If not help me please??

Mathematics

2 answers:

Verizon [17]3 years ago

3 0

Answer: no, no, yes, no, yes, yes

Step-by-step explanation:

x + 1, 2x, these are not equivalent

10x, 5(x+5)

5(x+5) distribute the 5 to get 5(x+5) = 5x + 25

5x + 25 is not equal to 10x, so no

1 + 2x = 2x + 1, these are equivalent since the constant and coefficients are the same

yes

2x, 2x - 5, these are not equivalent since once has a constant of -5 while the other does not

15x -1, 3(x+4x) - (3-2)

3(x+4x) - (3-2) combine like terms

3(5x) - (1) multiply through parentheses

= 15x -1

so 15x - 1 = 3(x+4x) - (3-2), these are equivalent

yes

1/2 * (4x-2),2x-1

1/2 * (4x-2) multiply through parentheses to get

2x - 1

so these two are equivalent

yes

Roman55 [17]3 years ago

3 0

The answer #2 is no and the number #5 is yes.

#2 is no, as you cannot add or subtract if they are not similar. Since in the second part the answer is 5x + 25.

#5 is yes because when there is a subtraction in front of a parenthesis, expressions within the parenthesis must change their sign.

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A father is 32 years older than his son. In four years,

sergiy2304 [10]

Answer:

father: 36
son: 4

Step-by-step explanation:

Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...

5(s+4) = (s+32)+4

5s +20 = s +36 . . . . . eliminate parentheses

4s = 16 . . . . . . . . . . . . subtract s+20

s = 4

The son is now 4 years old; the father, 36.

_____

<em>Alternate solution</em>

In 4 years, the ratio of ages is ...

father : son = 5 : 1

The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...

father : son = 40 : 8

So, now (4 years earlier), the ages must be ...

father: 36; son: 4.

5 0

3 years ago

Please give me the ansewer to this question 3/4^3

galben [10]

♡ The Question ♡

-Answer --> 3/4^3

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

Fraction --> 27/64

Decimal --> 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

(3/4)^3

Apply Exponent Rule! --> (a/b)^c = a^c/b^c

(3/4)^3 = 3^3/4^3

3^3 = 27

= 27/4^3

4^3 = 64

= 27/64

27/64 = 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No tips provided!

3 0

3 years ago

Read 2 more answers

you buy rice at 0.71 a pound one batch of fried rice requires 10 lb of rice how much does a rice for one batch cost

Drupady [299]

x ⇒ 3 · x = ($0.71)(3)= $2.13.

5 0

3 years ago

The dimensions of a rectangular garden were 5m by 12m. Each dimensions was increased by the same amount. the garden has an area

Alex_Xolod [135]

Let's say, the amount that each side was increased was "a"
so, it was 5 wide and 12 long, now it's 5+a wide and 12+a long

we know the area is 120, so whatever "a" is, we know that

(5+a)(12+a) = 120

so $\bf (5+a)(12+a) = 120\implies 60+17a+a^2=120
\\\\\\
a^2+\underline{17} a\underline{-60}=0\qquad \qquad 
\begin{cases}
20\cdot -3\implies \underline{-60}\\\\
20-3\implies \underline{17}
\end{cases}$

use those factors, solve for "a"

4 0

3 years ago

Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with yo

wolverine [178]

If you pick 3, you end up with 1 after getting to 10 then 5 then 16 then 8 then 4 then 2 then 1.
If you pick 14, you get 7 then 22 then 11 then 34 then 17 then 52 then 26 then 13 then 40 then 20 then 10 then 5 then 16 then 8 then 4 then 2 then 1.
From my observations and testing I am quite sure that you are correct

6 0

3 years ago