Nash is training for a marathon and decides to train for 26 miles every week. In the first week, the ratio of the number of miles he ran to the number of miles he walked was 3:10. Use Scratchpad to draw tape diagrams to represent this ratio. How many miles did Nash run in week 11?

Answer:

4 1/4 gallons

Step-by-step explanation:

The amount of gas in the tank is 1/4 of 17 gallons.

1/4 * 17 gallons = 0.25 * 17 gallons = 4.25 gallons = 4 1/4 gallons

4 1/4 or 17/4

What is a mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Step 1: Multiply the denominator with the whole number. Step 2: Add the numerator to the product obtained from step 1. Step 3: Write the mixed fraction with the sum obtained from step 2 as the numerator and the denominator of the original fractional part of the mixed fraction.

Given,

Full tank capacity = 17 gallons

gasoline gauge shows = 1/4 of full tank

= 1/4 of 17 gallons

= 17/4 gallons

= 4 1/4 gallons

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Answer:

You count the blocks and then put the amount of blocks before:)

(That sounds confusing but it sounds harder than it is)

The answer would be 3xy + 4x

Step-by-step explanation:

How many xy blocks are there? yea there's 3 so you do 3xy

you can't add xy and x blocks together because xy is a different unit than x (xy is x times y) so then you'd count the other x blocks seperately

(I'm sorry if I'm wrong on this lol)

Answer:

Semi-monthly gross pay = $662.5

Step-by-step explanation:

Given:

Earning per hour = $13.25

Number of hours per week = 25 hours

Find:

Semi-monthly gross pay

Computation:

Assume two week in semi-month

So,

Total working hour = 2(25)

Total working hour = 50 hours

Semi-monthly gross pay = Total working hour × Earning per hour

Semi-monthly gross pay = 50 × 13.25

Semi-monthly gross pay = $662.5

Answer:

98

Step-by-step explanation:

4=x56×7

4=x392

392/4=X

98

Answer:

no solutions

Step-by-step explanation:

Hi there!

Here is an answer:

[tex]5 + 2(3 + 2x) = x + 3(x + 1)\\11+4x=4x+3\\11=3,\;wrong[/tex]

Hope this helps)

Have a nice day!

Answer:

62 trees = 100%

62 / 2 = 31 trees

100% / 2 = 50%

31 trees = 50%

Step-by-step explanation:

Answer:

50 people until it was equal

Step-by-step explanation:

6p=100+4p

2p=100

p=50

6(50)=100+4(50)

300=100+200

300=300

Answer:

12x^2+2x+7

Step-by-step explanation:

Distribute the Negative Sign:

=4x^2+6+7+−1(−8x^2−2x+6)

=4x^2+6+7+−1(−8x^2)+−1(−2x)+(−1)(6)

=4x^2+6+7+8x^2+2x+−6

Combine Like Terms:

=4x^2+6+7+8x^2+2x+−6

=(4x^2+8x^2)+(2x)+(6+7+−6)

=12x^2+2x+7

Answer:

243

Step-by-step explanation:

I think it is just 27 times 9

Answer:

243

Step-by-step explanation:

Answer: A. B. A.

Step-by-step explanation:

Answer:

-11 and -12

Step-by-step explanation:

first integer:  x

second integer:  x + 1

x + x + 1 = -23

2x + 1 = -23

2x = -24

x = -12

first integer:  -12

second integer:  -12 + 1 = -11

Answer:

no solution

Step-by-step explanation:

X cannot equal itself minus 5, in the same way if we replace it by let's say, 6...

6 does not equal 6-5 (1)........ and by the way in this specific equation 6 is just an example it does not matter what you replace it with, x can never = x-5

Hope this helped! Good Luck!

Answer:

The answer is x_> 3

Step-by-step explanation:

Answer:

x≥3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x−12≥−2x+3

Step 2: Add 2x to both sides.

3x−12+2x≥−2x+3+2x

5x−12≥3

Step 3: Add 12 to both sides.

5x−12+12≥3+12

5x≥15

Step 4: Divide both sides by 5.

5x

5

≥

15

5

x≥3

tl;dr: Manny can make 4 bookmarks.

Hello!

So, Manny has 1/2 yards of fabric, and it takes 1/8 yards of fabric to make a bookmark.

The total amount of bookmarks Manny can make is 4.

When you do 4 · 1/8, you'll see that it gives you 4/8, or 1/2 simplified. This is all of the yards of fabric Manny has.

Answer:

its 5

Step-by-step explanation:

The hill with a rise of 400m and a slope of 3/190 covers approximately 25333.33 meters horizontally.

Slope is a term used to describe how steep or inclined a line is on a graph. It shows the proportion of the rise to the run or vertical change, between any two points on a line. The slope is a fundamental idea in geometry, algebra and calculus; it shows how much the line rises or falls for each unit of horizontal distance. A slope of zero denotes a horizontal line while positive slopes denote upward inclines, negative slopes denote downward inclines, and vice versa.

Slope = rise / run

Given that the slope of the hill is 3/190 and the rise is 400m, we can set up the equation:

3/190 = 400 / run

run = 400 / (3/190) = 400 × (190/3)

      = 400 × 63.33 ≈ 25333.33 meters

the horizontal distance covered by the hill is approximately 25333.33 meters.

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Answer:

5  hi

Step-by-step explanation:

Answer:

3:5

Step-by-step explanation:

take the biggest common factor which would be 6 in this case, and just divide the two out by that. 3:5

Answer:

x > -3

Step-by-step explanation:

Since you need to get a by itself as a variable divide both sides by -9 (but in inequality when you divide by - the sign flips)

x > -3

Answer:17$

Step-by-step explanation:

Answer:

C The graph shifts 4 units left.

Step-by-step explanation:

Answer: its A

Step-by-step explanation:

i took the test on flvs lol

Answer:

19+23

Step-by-step explanation:

Answer:

The correct coordinates are (3, 4).

Gabriela may have reflected Figure ABCD across the x-axis.

Step-by-step explanation: Looked at graph.

Hope this helps!

Answer:

B & D

Step-by-step explanation:

Options B and D have a solution from the given set of equations.

We need to find from the given which equation does not have solutions.

Solve the given equation for x. If you get any value then the equation has a solution.

From option (A):

-60x+32=-60x+60

⇒-60x+60x=60-32

By simplifying the above equation we get no x value. So, there are no solutions.

From option (B):

-60x+32=32x-60

⇒-60x-32x=-60-32

⇒-92x=-92

⇒x=1

From option (C):

-60x+32=-60x-32

By simplifying the above equation we get no x value. So, there are no solutions.

From option (D):

-60x+32=32x+60

⇒-92x=28

⇒x=0.304

Therefore, options B and D have a solution.

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Answer:

25 Yard line was the previous location.

Step-by-step explanation:

-7+3-1= -8+3= -5

30-5=25.

This is about absolute value inequalities.

The set of possible values of x that make the statement true are; x = {-2, -1, 0, 1}

We are told that when it is multiplied by 3 and 1 added to it, it is between - 8 and 7. This means it is greater than -8 but less than 7.

Thus;

3x + 1 > -8  - - - (eq 1)

3x + 1 < 7  - - - (eq 2)

3x + 1 > -8

Subtract 1 from both sides to get;

3x > -9

x > -9/3

x > -3

3x + 1 < 7

Subtract 1 from both sides to get;

3x < 7 - 1

3x < 6

x < 6/3

x < 2

Thus, we can write that;

-3 < x < 2

Thus, the set of possible values of x are; x = {-2, -1, 0, 1}

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Answer:

(1 , 4)

Step-by-step explanation:

2x = -y + 6

-4x + 3y = 8

2x = -y + 6

2x - 6 = -y

-2x + 6 = y

-4x + 3y = 8

-4x + 3(-2x + 6) = 8

-4x - 6x + 18 = 8

-10x + 18 = 8

-10x = -10

x = 1

-2x + 6 = y

-2(1) + 6 = y

-2 + 6 = y

4 = y