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Norma-Jean [14]
3 years ago
8

When solving the equation 4(3x+2)-9=8x+7, Emily wrote 4(3x+2)=8x+16 as her first step. Which property justifies Emily's first st

ep
Mathematics
2 answers:
Korolek [52]3 years ago
6 0
Emily added the nine over with 7 to get 16
Novosadov [1.4K]3 years ago
3 0
4(3x+2)-9=8x+7\ \ \ \ \ |add\ 9 \to\ both\ sides\\\\4(3x+2)-9+9=8x+7+9\\\\\boxed{4(3x+2)=8x+16}\\\\Answer:Emily\ add\ 9\ to \both\ sides\ of\ the\ equation.
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Evaluate each logarithm. Do not use a calculator. Log (125)(1/25)
svetlana [45]

Answer:

-2/3

Step-by-step explanation:

Log125(1/25)=x

Raise each side to the base of 125

125^Log125(1/25)=125^x

1/25 = 125^x

Rewrite 25 as a power of 5  and 125 as a power of 5

1 / 5^2 = 5^3^x

The if power is in the denominator, we can bring it to the numerator by making it negative

5^-2 = 5^3^x

We know that a^b^c = a^(b*c)

5^-2 = 5^(3*x)

Since the bases are the same, the exponents are the same

-2 = 3x

Divide by 3

-2/3 = 3x/3

-2/3 =x

6 0
3 years ago
I need help for my daughters homework for write the sentence as an inequality
Taya2010 [7]

Answer:

15 < t ÷5

Step-by-step explanation:

all it wants is for you write the sentence as an equation.

I really hope this helps

3 0
3 years ago
Jessica invests​ $250 each quarter in an ordinary annuity with a​ 5% interest rate compounded quarterly. Determine the accumulat
madam [21]

Answer:

Step-by-step explanation:

Usimg formula for calculating compound interest.

A = P(1+r/n)^nt

P is the principal =$250

r is the rate = 5%

t is the time = 25years

n = 1/4(compounded quarterly)

Substituting to get the amount A.

A = 250(1+5/25)^25/4

A = 250(1+0.2)^6.25

A = 250(1.2)^6.25

A = 250(3.125)

A = $781.31

Hence the accumulated amount in​ Jessica's annuity after 25 years is $781.31

4 0
3 years ago
Which one doesn't belong?
Montano1993 [528]

Answer:

A 17

B 11.5

Step-by-step explanation:

5+2=7+2=9+2=11+2=13+2=15+2=17

and please check ur question C and D

7 0
3 years ago
A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the dia
OleMash [197]

Answer:

Diameter of tank = 19.5 ft

Step-by-step explanation:

Volume of cylinder = Base area x Height.

Base area = Area of circle

\texttt{ Area of circle}=\frac{\pi d^2}{4}

Height = 20 ft.

Volume of tank = 6000 cubic feet .

\texttt{ Volume of cylinder = Base area x Height.}\\\\6000=\frac{\pi d^2}{4}\times 20\\\\d^2=381.97\\\\d=19.5ft

Diameter of tank = 19.5 ft

4 0
3 years ago
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