PLEASE HELP ASAP (I NEED HELP) !

Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 −

IRINA_888 [86]

For this case we have the following equation:
$7.4x + 4.1 (2x - 4) = -2.3 (x - 6) - 21.6
$
Step 1 of the solution is to make the distributive property.
We have then:
$7.4x + 8.2x - 16.4 = -2.3x + 13.8 - 21.6
$
Step 1 is correct.
The step is to combine similar terms. Caleb wrote: $7.4x + 8.2x - 16.4 = -2.3x + 35.4
$
He wrongly combined the similar terms on the right side of the equation.
The correct solution is: $7.4x + 8.2x - 16.4 = -2.3x -7.8
$
Answer:
In step 2, the like terms were not combined on the right side of the equation.

6 0

1 year ago

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Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown?

Mandarinka [93]

Answer:

25%

Step-by-step explanation:

4 0

1 year ago

Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins

AfilCa [17]

Answer:

h = p - l - w

Step-by-step explanation:

p = 4l + 4w + 4h Divide l, w, and h by 4

p = l + w + h Set the equation equal to h

h = p - l - w

5 0

1 year ago

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The sanitation department calculated that last year each city resident produced approximately 1.643 × 103 pounds of garbage. The

bija089 [108]

Given that, according to sanitation departments report; the samount of garbage produced by 1 resident $= 1.643 \times 10^3$ pound.

Given that population of the city $= 2.61 \times 10^5$

Now we have to find how much garbage did the city sanitation department collect last year.

To find that we just need to multiply the garbage produced by 1 resident with the population of the city.

Total garbage collected $= (2.61 \times 10^5 ) * (1.643 \times 10^3 )$ pounds

Total garbage collected $= (2.61*1.643) \times 10^{5+3}$ pounds

Total garbage collected $= 4.28823 \times 10^8$ pounds

Hence final answer is $4.28823 \times 10^8$ pounds.

4 0

1 year ago

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In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegeta

alukav5142 [94]

Answer:

$Z_{0.05}=1.645$

Step-by-step explanation:

Given :In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegetables, and 458 reported that they preferred eating vegetables.

To Find :What value of z should be used to calculate a confidence interval with a 95 % confidence level?

Solution:

Confidence level = 95 % i.e.0.95

So, significance level = 5% i.e. 0.05

So, the value of z corresponding to significance level 0.05 should be used to calculate a confidence interval with a 95 % confidence level

So, $Z_{0.05}=1.645$

Hence z should be 1.645 to calculate a confidence interval with a 95 % confidence level.

4 0

1 year ago