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3 years ago

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Sarah solves the equation as shown. 2(x + 3) = 8 1. 2x + 6 = 8 2. 2x = 2 3. x = 1 In which step did Sarah use the distributive p

roperty?

2 answers:

frez [133]3 years ago

7 0

3. X=1. Remember PEMDAS!
2(x+3)=8
2•x +2•3
2+6=8

marishachu [46]3 years ago

6 0

Answer:

Sarah use distributive property in Step 1.

Step-by-step explanation:

Consider the provided equation.

$2(x + 3)=8$

Step 1: Use the distributive property $a(b+c)=ab+ac$

$2x + 6=8$

Step 2: Subtract 6 from both sides.

$2x + 6-6=8-6$

$2x =2$

Divide 2 from both the sides.

$x =1$

Now we need to find in which step Sarah use distributive property.

From the above calculation we can be concluded that Sarah use distributive property in Step 1.

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The distribution of lifetimes of a particular brand of car tires has a mean of 51,200 miles and a standard deviation of 8,200 mi

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Step-by-step explanation:

Problems of normally distributed distributions are solved using the z-score formula.

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$Z = \frac{X - \mu}{\sigma}$

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$\mu = 51200, \sigma = 8200$

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This is the pvalue of Z when X = 65000 subtracted by the pvalue of Z when X = 55000. So

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$Z = 0.46$ has a pvalue of 0.677

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0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.

B) Less than 48,000 miles

This is the pvalue of Z when X = 48000. So

$Z = \frac{X - \mu}{\sigma}$

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C) At least 41,000 miles

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$Z = \frac{41000 - 51200}{8200}$

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Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 282 more hits than Riley. How many hits did each p

pickupchik [31]

Pedro had 1482 hits and Riley had 1200 hits.

Step-by-step explanation:

Given,

Number of base hits = 2682

Let,

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Number of Riley's hits = y

According to given statement;

x+y=2682 Eqn 1

x = y+282 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

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Dividing both sides by 2

$\frac{2y}{2}=\frac{2400}{2}\\y=1200$

Putting y=1200 in Eqn 2

$x=1200+282\\x=1482$

Pedro had 1482 hits and Riley had 1200 hits.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

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