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allsm [11]
3 years ago
15

What's the distributive property when solving the equation 7(x+5)-x=42

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0
When you are doing distributive property, it can only happen if a number or exponent is before the bracket. From this equation, you can solve for x like so:

7(x+5)-x=42

7x+35-x=42 -Using distributive property (Multiplication)

6x=7 -Collecting like terms.

x= 7/6 -The answer.

Therefore x would equate to 7/6.
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A cookie recipe calls for 1 2/3 cup of sugar. If you plan on changing the recipe to make 2 1/2 times as much. How much sugar wil
Morgarella [4.7K]

Answer:

    = 4 1/6 ---------------> final answer

Step-by-step explanation:

1 2/3 cup of sugar  

That is : 5/3 cups of sugar for 1 cookie recipe

So for 1 recipe ------------- 5/3 cups of sugar

hence for 2 1/2 recipe ---------------> (5/3) * (5/2)

         = 25/6

          = 4 1/6 ---------------> final answer

7 0
3 years ago
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The origin has an ordered pair of ________.
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3 years ago
Order the steps to solve the equation log(x^2-15)=log(2x) form 1 to 5
nasty-shy [4]

Answer:x=-5 and x=3

Step-by-step explanation:

log(x^2-15)=log(2x)

Cancel log at both sides we get

x^2-15=2x

Collect like terms

x^2-2x-15=0

x^2-3x+5x-15=0

x(x-3)+5(x-3)=0

(x+5)(x-3)=0

x+5=0 x-3=0

x=-5 x=3

6 0
3 years ago
Helen had $330 in her savings account when Vince opened a savings account with zero dollars.
Nastasia [14]

I think the answer is 30x+330>50x

Step-by-step explanation:

for the option A it was slightly changed,

cause the $30 was deposited by <em><u>helen</u></em> not <em><u>Vince.</u></em>

<em><u>so </u></em><em><u>check </u></em><em><u>that </u></em><em><u>well</u></em>

4 0
2 years ago
In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​a) Find the exponential g
Angelina_Jolie [31]

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

4 0
2 years ago
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