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Leno4ka [110]
2 years ago
11

If the expression 3x + 2 is equal to 15 for some value of x, then which of the following is the value of 9x+5 for the same value

of x?
(1) 40
(2) 46
(3) 44
(4) 50
Mathematics
2 answers:
Roman55 [17]2 years ago
8 0

Answer:

44

Step-by-step explanation:

3x + 2 = 15

solve for x

x = 13/3

take this value and plug into the second expression and solve.

(9 x 13/3) + 5 = 44

NeX [460]2 years ago
5 0
First isolate the variable x in 3x+2=15. Subtract 2 from both sides so that you get 3x=13. Divide 3 by both sides and you get x=4 1/3. Since you keep the same value as x then you substitute in 4 1/3 in 9x+5 so that it looks like 9(4 1/3)+5 which would then equal to 44. Choice 3 would be correct.
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If x-5(x-7)=-7 then x equals what?
NeX [460]
Expand

simplify x - 5x + 35 to -4x + 35

subtract 35 from both sides

simplify -7 - 35 to -42

divide both sides by -4

two negatives make a positive

simplify 42/4 to 21/2

Answer: x = 21/2.
7 0
2 years ago
Which is equivalent to 64 to the 1/4 power
Sladkaya [172]

Answer:

The answer to your question is the first option

Step-by-step explanation:

                                            64^{1/4}

Process

1.- Find the prime factors of 64

                                      64  2

                                      32  2

                                      16   2

                                        8  2

                                        4  2

                                        2  2

                                         1

                      64 = 2⁶

2.- Express 64 as a fractional exponent

                      64^{1/4} = 2^{6/4}

3.- Simplify

                      64^{1/4} = 2^{4/4} 2^{2/4}

                      64^{1/4} = 2^{1} 2^{2/4}

                      64^{1/4} = 2\sqrt[4]{2^{2}}

4.- Result

                      64^{1/4} = 2\sqrt[4]{4}                                        

5 0
3 years ago
Math help questions <br>​
Evgen [1.6K]

After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of \$800 \times 1.07^t.

We want the find the number of years n such that

\$856 \times 1.07^n = \$1400

Solve for n :

856 \times 1.07 ^n = 1400

1.07^n = \dfrac74

\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)

n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)

n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}

4 0
1 year ago
Read 2 more answers
Wasn’t sure how to write this out : - )
amid [387]

we are given

\frac{\sqrt[3]{7}\sqrt{7}}{\sqrt[6]{7^5}}

we can write it in terms of exponents

\frac{7^{\frac{1}{3}}*7^{\frac{1}{2}}}{7^{\frac{5}{6}}}

Firstly , we will simplify numerator

\frac{7^{\frac{1}{3}+\frac{1}{2}}}{7^{\frac{5}{6}}}

now, we can add exponents

\frac{7^{\frac{5}{6}}}{7^{\frac{5}{6}}}

we can cancel it

and we get

=1............Answer

5 0
3 years ago
I need help on the top one hellppp it’s due today
Digiron [165]

Answer:

.666666... lph, 22 lawns

Step-by-step explanation:

6/9 to get lawns per hour.

Take that fraction times 33 to get lawns in 33 hours.

7 0
2 years ago
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