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rusak2 [61]
3 years ago
13

Fill in the missing reason for this

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

The steps are:

\begin{array}{c|c}\text{step}&\text{reason}\\3x+5=14&\text{given}\\3x=9&\text{subtraction property of equality}\\x=3&\text{division property of equality}\end{array}

In the first step you subtracted 5 from both sides, in the second step you divided both sides by 3.

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Janice Went to five different stores in the mall, she spent an average of $30 at each store. After visiting just the first four
777dan777 [17]

Based on Janice average, she spent $50 at the last store.

Let a, b, c, d, e represent the money spent on the five stores respectively.

Since she spent an average of $30 at each store, hence:

(a + b + c + d + e) / 5 = 30

(a + b + c + d + e) = 150

She spent $100 on the first four stores, hence:

a + b + c + d = 100

(a + b + c + d + e) = 150

100 + e = 150

e = 50

Hence based on Janice average, she spent $50 at the last store.

Find out more at: brainly.com

6 0
3 years ago
Twenty-six students will attend the field trip to the career center. The cost to attend the career center is $x. Fifteen of thes
dexar [7]
Answer=I

15(x+3)+11x    represents the total cost

To solve for this, let's look at the information that we know...

26 students go on the trip

15 students pay $3 more for an additional class (x+3)

26-15=11

11students pay, x, the price of the trip.

So 15(x+3) represents the 15 students who pay for both the trip and the automotive class, and 11x represents the students who simply just pay for the cost of the trip.

Thus, 15(x+3)+11x represents the scenario
4 0
3 years ago
A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn
loris [4]

Answer:

95 percent confidence interval for μ is determined by

(60.688 ,  69.312)

a) be the same

Step-by-step explanation:

<u>Step (i)</u>:-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

<u>Step (ii) :</u>-

Given  The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

<u>Step (iii)</u>:-

95 percent confidence interval for μ is determined by

(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )

(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )

(65 - 4.312 ,65 +4.312)

(60.688 ,  69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

<u>Conclusion</u>:-

it become same as (61.08, 68.92)

4 0
4 years ago
What is the identity of 8z^3+27
Alik [6]

8 is a cube: 2³

27 is a cube: 3³

The expression can be identified as "the sum of two cubes": (2z)³ + 3³.

8 0
3 years ago
6: REDUCE to simplest term. 4/1 + 15/2​
vovangra [49]

Answer:

\frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

Step-by-step explanation:

Given the expression

\frac{4}{15}+\:\frac{1}{2}

Thus, solving to reduce to the simplest term

\frac{4}{15}+\frac{1}{2}

LCM of 15, 2: 30

Adjusting fraction based on the LCM

so the expression becomes

\frac{4}{15}+\:\frac{1}{2}=\frac{8}{30}+\frac{15}{30}

Apply the fraction rule:      \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

            =\frac{8+15}{30}

Add the numbers: 8+15 = 23

            =\frac{23}{30}

Therefore, \frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

4 0
3 years ago
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