4 2/5 * 10 using distributive property

4. If DF = 9x - 39, find EF. Help I’m so confused!!!!

topjm [15]

Answer:

EF =58

Step-by-step explanation:

from the illustration,

EF =DF - DE

given that DF =9x-39 , DE =47 EF=3x +10

substitute them into the formula,

3x +10=9x-39 - 47

solving for x

3x +10 =9x -86

grouping like terms

3x - 9x =-86 -10

-6x=-96

dividing through by -6

 $\frac{ - 6x}{ - 6} = \frac{ - 96}{ - 6}$ 

 $x = \frac{96}{6}$ 

 $x = 16$ 

but EF=3x+10

substitute x=16 into it to get the EF

EF= 3(16)+10

EF=48+10

EF=58

6 0

3 years ago

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Brainly.com fam help me fine the value of the x thank you so much

Thepotemich [5.8K]

First you subtract 47 from both sides (-47 from 47 and -47 from 32)
Then you get -3x = -15
Divide -3 from -3x and -3 from -15
Leaving you with X = 5

5 0

3 years ago

According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits abo

Minchanka [31]

Answer:

B. The mean amount of $CO_2$ emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg

Step-by-step explanation:

A Type II error is the failure to reject a false null hypothesis.

Given the null and alternate hypothesis of a fuel company which wants to test a new type of gasoline designed to have lower $CO_2$ emissions.:

$H_0: \mu = 8.9 kg\\H_a: \mu < 8.9 kg \\\text{ (where \mu is the mean amount of CO_2 emitted by burning one gallon of this new gasoline)}$

where $\mu$ is the mean amount of $CO_2$ emitted by burning one gallon of this new gasoline.

If the null hypothesis is false, then:

$H_a: \mu < 8.9 kg$

A rejection of the alternate hypothesis above will be a Type II error.

Therefore:

The Type II error is: (B) The mean amount of $CO_2$ emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg.

8 0

3 years ago

A consumer shops for a sofa. The store is having a 20% off sale on all furniture. What is the discounted, pre- tax cost of a sof

lakkis [162]

Answer:
The answer is 408

Explanation:
20% of 510 is 102 and 510 - 102 is 408

8 0

3 years ago

At yesterdays ball game, 2,842 tickets were sold. The price of each ticket was $7.50. Which amount is closest to the total amoun

Margarita [4]

Answer:

C. $20,000

Step-by-step explanation:

2,824*$7.50=$21,315

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3 years ago

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