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irina [24]
3 years ago
5

Karl drove 617.3 miles. For each gallon of gas, the car can travel 41 miles. Select a reasonable estimate of the number of gallo

ns of gas Karl used. Mark all that apply A. 1.5 gallons B. 1.6 gallons C. 15 gallons D. 16 gallons E. 150 gallons
Mathematics
1 answer:
Hatshy [7]3 years ago
4 0

Answer:

The number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

Step-by-step explanation:

As given

Karl drove 617.3 miles.

For each gallon of gas, the car can travel 41 miles.

i.e

1 gallons = 41 miles

1\ miles = \frac{1}{41}\ gallons

Now find out for the  617.3 miles.

Thus

617.3\ miles = \frac{617.3}{41}\ gallons

617.3\ miles = 15.1\ gallons

617.3\ miles = 15\ gallons\ (Approx)

Therefore the number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

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What is the next number in the series 167, 118, 82
Katyanochek1 [597]

The next number in the series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The series is:

167, 118, 82

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

As we know, the prime is divisible by 1 and itself.

The prime numbers before 82 are:

57, 41, 37, 31, 29, 23, 19.. and so on

The next number in series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Thus, the next number in the series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

Learn more about the sequence here:

brainly.com/question/21961097

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3 0
1 year ago
Simplify 3x + 5y + 10x + 6y
belka [17]

Answer:

13x + 11y

Step-by-step explanation:

3x and 10x both have x so we can add them

5y and 6y both have y so we add 5 and 6

3 0
3 years ago
When is it helpful to convert from point-slope to slope-intercept form?
Lena [83]

Answer:

Point slope form is to find the coordinates of the point on the line, whereas slope intercept gives you the slope plus y-intercept

Step-by-step explanation:

5 0
3 years ago
Which of the following ordered pairs represents the solution to the system of equations below?
expeople1 [14]
<span>-3x + 2y = 2  eq (1)

  7x - 3y = 7    eq (2)

Mutiply eq (1) by 3 and eq (2) by 2:

-9x + 6y = 6

14x - 6y = 14

Add th two new equations:

-9x + 14x = 6 + 14

=> 5x = 20

=> x = 20/5

=> x = 4

Now from eq (1)

-3(4) + 2y = 2

=> 2y = 2 + 12

=> 2y = 14

=> y = 14 / 2

=> y = 7

So the ordered pair is (4,7)

Answer: option B. (4,7)
</span>
5 0
3 years ago
PLEASE, I NEED HELP FOR A CLASS. The length of triangle base is 26. A line, which is parallel to the base divides the triangle i
sasho [114]

Answer:

DE=18.38

Step-by-step explanation:

It is given that the length of triangle base is 26 that is BC=26.

A line, which is parallel to the base divides the triangle into two equal area parts.

Therefore, from the given information, \frac{{\triangle}ADE}{ar ABC}=\frac{1}{2}.

Now, since it is given that A line, which is parallel to the base divides the triangle into two equal area parts, thus

\frac{ar ADE}{arABC}=\frac{1}{2}=\frac{(DE)^{2}}{(BC)^{2}}

⇒\frac{(DE)^{2}}{(BC)^{2}}=\frac{1}{2}

⇒\frac{(DE)^{2}}{(26)^{2}}=\frac{1}{2}

⇒(DE)^{2}=13{\times}26=338

⇒DE=18.38

7 0
3 years ago
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