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3 years ago

10

When Gerald started on his trip, his odometer read 109,875. At the end of his trip it read 110,480. How many miles did he travel

? Explain how you got your answer.

1 answer:

ozzi3 years ago

6 0

Gerald traveled 605 miles. In order to get this answer you subtract 109,875 from 110,480.

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kipiarov [429]

By taking the product of the two fractions we will see that the number that goes in the green box is a 6.

<h3>How to add two fractions?</h3>

We only can add two fractions if we have the same denominator in both of them, here we want to transform -2/3 in an equivalent fraction, such that the denominator is 9, so we multiply both the numerator and denominator by 3.

So we need to solve:

$\frac{-2}{3}*\frac{3}{3} = \frac{-2*3}{3*3} = \frac{-6}{9}$

From that, we can conclude that the number that goes in the green box is 6.

If you want to learn more about fractions, you can read:

brainly.com/question/11562149

7 0

3 years ago

What is the slope of the line that passes through the points (0,0) and (0,5)? Write

Ghella [55]

Answer:

there is no slope the answer is undefined

Step-by-step explanation:

the line in this case is a vertical line which would be an undefined line a horizontal line has a slope of zero.

the equation for slope is y^2-y^1/x^2-x^1

6 0

2 years ago

Show work and explain with formulas:

Marina86 [1]

17 Answer: 205

<u>Step-by-step explanation:</u>

$\{1\dfrac{2}{3}+1\dfrac{5}{6}+2+...+8\dfrac{1}{3}\}\implies a_1=1\dfrac{2}{3},\ d=\dfrac{1}{6}\\\\\\a_n=a_1+d(n-1)\qquad solve\ for\ n\\\\8\dfrac{1}{3}=1\dfrac{2}{3}+\dfrac{1}{6}(n-1)\\\\\\\dfrac{25}{3}=\dfrac{5}{3}+\dfrac{1}{6}n-\dfrac{1}{6}\\\\\\\dfrac{50}{6}=\dfrac{10}{6}+\dfrac{1}{6}n-\dfrac{1}{6}\\\\\\\dfrac{41}{6}=\dfrac{1}{6}n\\\\\\\dfrac{41}{6}\cdot 6=n\\\\41=n$

$\text{Now use the sum formula:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{41}=\dfrac{1\dfrac{2}{3}+8\dfrac{1}{3}}{2}\cdot 41\\\\\\.\quad =\dfrac{10}{2}\cdot 41\\\\\\.\quad =5\cdot 41\\\\.\quad =\large\boxed{205}$

18 Answer: 1968

<u>Step-by-step explanation:</u>

$a_1=-6,\ d=2,\ n=48, \quad \text{solve for }a_{48}\\\\a_{n}=a_1+d(n-1)\\\\a_{48}=-6+2(48-1)\\\\.\quad =-6+2(47)\\\\.\quad =-6+94\\\\.\quad =88$

$\text{Now use the sum formula:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{48}=\dfrac{-6+88}{2}\cdot 48\\\\\\.\quad =\dfrac{82}{2}\cdot 48\\\\\\.\quad =41\cdot 48\\\\.\quad =\large\boxed{1968}$

19 Answer: -116

<u>Step-by-step explanation:</u>

$\{3, -2, -7, ...\}\\a_1=3,\ d=-5,\ n=8, \quad \text{solve for }a_{8}\\\\a_{n}=a_1+d(n-1)\\\\a_{8}=3-5(8-1)\\\\.\quad =3-5(7)\\\\.\quad =3-35\\\\.\quad =-32\\\\\text{Now use the sum formula:}\\\\S_8=\dfrac{a_1+a_8}{2}\cdot 8\\\\\\S_{8}=\dfrac{3-32}{2}\cdot 8\\\\\\.\quad =\dfrac{-29}{2}\cdot 8\\\\\\.\quad =-29\cdot 4\\\\.\quad =\large\boxed{-116}$

6 0

3 years ago

Mike is making a nut mixture for an upcoming camping trip. He makes the mixture by combining of a cup of cashews and of a cup of

vitfil [10]

28 ÷ 2 = 14. you need 14 cups of each nut to get a total of 28 cups combined

7 0

3 years ago

Read 2 more answers

What is the slope of the line given (1,1) and (0,0)

yaroslaw [1]

The slope of the line passing the points (1, 1) and (0, 0) is 1

<h3>Slope of a line</h3>

The formula for calculating the slope of a line is expressed as

Slope = y2-y1/x2-x1

Given the coordinate points (1, 1) and (0, 0)

Substitute the given coordinate points

Slope = 0-1/0-1

Slope = -1/-1

Slope =1

Hence the slope of the line passing the points (1, 1) and (0, 0) is 1

Learn more on slope of a line here: brainly.com/question/3493733

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3 0

2 years ago