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insens350 [35]
3 years ago
10

A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas?

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0

Just set up a proportion. 28miles per one gallon of gas is the same thing as 392 miles per 14 gallons of gas. The car can travel 392 miles.

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Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 1-4.] (If there is no
Likurg_2 [28]

Answer:

Infinitely\ many\ solutions\ exist.\\\\Solutions\ are\ (x,\frac{3}{4}x-1)

Step-by-step explanation:

Given\ equations\ are\\\\3x-4y=4.................eq(1)\\\\9x-12y=12..............eq(2)\\\\divide\ eq(2)\ by\ 3\\\\\frac{1}{3}(9x-12y=12)\\\\\Rightarrow 3x-4y=4\\\\Hence\ equations\ represent\ the\ same\ line.\\Hence\ Infinitely\ many\ solutions\ exist.\\\\3x-4y=4\\\\4y=3x-4\\\\y=\frac{3}{4}x-1\\\\Solutions\ are\ (x,\frac{3}{4}x-1)

3 0
2 years ago
Sociology graduates, upon entering the workforce are normally distributed and earn a mean salary of $30,000 with a standard devi
GrogVix [38]

Answer:

0.62% probability that randomly chosen salary exceeds $40,000

Step-by-step explanation:

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

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 30000, \sigma = 4000

What is the probability that randomly chosen salary exceeds $40,000

This is 1 subtracted by the pvalue of Z when X = 40000. So

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

Z = \frac{40000 - 30000}{4000}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938 = 0.0062

0.62% probability that randomly chosen salary exceeds $40,000

7 0
2 years ago
If 6 less than one third of Christine age is no more than 18 , how old is she . And how did u get the answer
SCORPION-xisa [38]

Answer: >72

Step-by-step explanation:

x*1/3-6=<18

1/3*x=<24

x=<72

Christine is more than 72 years old

5 0
3 years ago
Whats the <img src="https://tex.z-dn.net/?f=whats%20the%20degree%20term%20for%20-8x%5E%7B3%7D" id="TexFormula1" title="whats the
N76 [4]

In the given term -8x^3 the degree is 3

Step-by-step explanation:

We need to find the degree of the term -8x^3

The degree of the term is equal to the highest power of the non-zero co-efficient

So, in the given term -8x^3 the degree is 3

Keywords: Degree of terms

Learn more about the Degree of terms at:

  • brainly.com/question/12700460
  • brainly.com/question/1560475
  • brainly.com/question/4934417

#learnwithBrainly

5 0
2 years ago
What is the answer to the question 2+2
Anarel [89]

Answer:

4

Step-by-step explanation:

2+2=4

7 0
3 years ago
Read 2 more answers
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