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laiz [17]
3 years ago
13

Darnell's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline

to travel 350 miles. If the price of gasoline was approximately $4.00 per gallon, how much less, to the nearest cent per mile, did it cost to run the car after the mechanic worked on it?
Please Show Work!!
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0
8*4=32
7*4=28

340÷32=10.625
350÷28=12.5

12.5-10.625= 1.875
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4(3x + 2) =16x + 7 -4x + 1
GrogVix [38]

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3x+2)=16x+7−4x+1

(4)(3x)+(4)(2)=16x+7+−4x+1(Distribute)

12x+8=16x+7+−4x+1

12x+8=(16x+−4x)+(7+1)(Combine Like Terms)

12x+8=12x+8

12x+8=12x+8

Step 2: Subtract 12x from both sides.

12x+8−12x=12x+8−12x

8=8

Step 3: Subtract 8 from both sides.

8−8=8−8

0=0

7 0
3 years ago
Read 2 more answers
Suppose that 80 percent of all statisticians are shy, whereas only 15 percent of all economists are shy. Suppose also that 90 pe
Anna71 [15]

Answer:

37.21% probability that the person is a statistician.

Step-by-step explanation:

We have these following probabilities:

An 80% probability that a statistican is shy.

A 15% probability that an economist is shy.

At the gathering, a 90% probability that a person is an economist.

At the gathering, a 10% probability that a person is a statistican.

If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?

This can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So

What is the probability that the person is a statistican, given that he is shy?

P(B) is the probability of the person being a statistican. So P(B) = 0.1.

P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.

P(A) is the probability of a person being a shy. This is 15% of 90%(economists) and 80% of 10%(statisticans). So

P(A) = 0.15*0.9 + 0.8*0.1 = 0.215

Finally

P = \frac{P(B).P(A/B)}{P(A)}

P = \frac{0.1*0.8}{0.215} = 0.3721

37.21% probability that the person is a statistician.

3 0
3 years ago
Find the value of x and y
algol13
What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:

(14x+4)+(16x-4)=180

After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
8 0
3 years ago
SOLVE. (5n)÷(30m)+(2m+4n)÷(30m)
Andru [333]
Note, since both factors have the same denominator, we can add the numerators together.

Numerator :

5n + (2m + 4n) = 5n + 2m + 4n = 9n + 2m

Denominator :

30m

Thus,

= (9n + 2m) / 30m
6 0
3 years ago
Read 2 more answers
20 POINTS!!! PLEASE HELP
Katena32 [7]

The logarithm of 10 to base 10 is 1

<h3>How to determine the logarithm?</h3>

The given parameters are:

Base = 10

Number = 10

So, the expression is:

\log_{10}10

As a general rule;

\log_{a}a = 1

The above means that;

When the base and the number are the same, the logarithm is 1

So, we have:

\log_{10}10 = 1

Hence, the logarithmic value is 1

Read more about logarithm at:

brainly.com/question/20785664

#SPJ1

3 0
1 year ago
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