A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.

Answer:

like 20 percent

Answer:

$13.38

Step-by-step explanation:

Use proportions to solve this problem:

$20.07 / 3 bags  = X / 2 bags

multiply both sides by "2 bags" to isolate the unknown X

$20.07 * 2 / 3 = X

Therefore, X = $13.38

Answer:

2

Step-by-step explanation:

Answer:

so all you have to do is graph the linear equation of y=3x+0. But, the greater than or equals to sign tells us to make a solid line and shade above

result:

Step-by-step explanation:

Answer:

A. 24

Step-by-step explanation:

Answer:

$199.58

Step-by-step explanation:

$186 x 0.0730 = 13.578

13.578 + 186 = $199.57

The Answer will be 138.8675

Answer:

5

Step-by-step explanation:

First, you would add 10 to both sides to get 45 = 9n. Then, you would divide both sides by 9 to get n = 5. I hope this helps :)

Answer:

n = 5

Step-by-step explanation:

35 = 9n - 10

First, add 10 to each side.

35 + 10 = 9n - 10 + 10

45 = 9n

Divide both sides by 9

9n/9 = 45/9

n = 5

Hope this helps! Feel free to ask any questions

Answer:

The top right one 3(x+4)=30

Step-by-step explanation:

Answer:

The answer should be the one on the top right.

Step-by-step explanation:

So we know that the whole entire model equals 30, and each of the three sections are s+4. So, in order to get 30, the equation has to have something to do with three times s+4. We can eliminate the one on the top left because the model does not have a 12 involved. We can also eliminate the bottom left because it only represents one of the three s+4s. The bottom right can be taken off because the 3 in that equation is only multiplied to s, and not s+4. The top right works because it is saying that s+4 multiplied by 3 times is equal to 30. There you go! I hope this helps❤️

Answer:

3 6 12 24 48 96 192

Step-by-step explanation:

The answer is 48 96 192

Answer:it equals 96 hope this helps

Step-by-step explanation:

Answer:

y = -5x -10

Step-by-step explanation:

This is the slope-intercept form:

[tex]y-y_{1} = m(x -x_{1})[/tex]

First, we look for the slope. The slope is found by using the equation:

[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]

[tex]m = \frac{5 - (-25)}{-3 - 3} = \frac{30}{-6} = -5[/tex]

m = -5.

Now, given the two points, our y₁ is -25, and our x₁ is 3. Therefore, we substitute these values into the equation, and get:

y - (-25) = -5(x - 3)

y + 25 = -5(x - 3)

y + 25 = -5x + 15

y = -5x + 15 -25

y = -5x -10

Answer:

the answer to the problem is y= -5x - 10

Answer:

5/162

Step-by-step explanation:

Probability of getting terrier = 2/18 = 1/9

Probability of getting retriever = 5/18

5/18 x 1/9 = 5/162

Hope that helps!

Answer:

30 blocks

Step-by-step explanation:

60 minutes = 1 hour

For one hour, she will walk 7.5 blocks.

The rate is 7.5blocks per hour.

Multiply this by 4 hours, and you will get 30 blocks.

(7.5)4 = 30

Answer:

4/5

Step-by-step explanation:

1/2=5/10

5/10+3/10=8/10

simplified or  8/10 divided by 2 =4/5 and u cant simplify it anymore

Answer:

4/5

Step-by-step explanation:

convert 1/2 to 5/10 then and 3/10 then simplify and you get 4/5

Answer:

a) [tex]P(D'/L)=0.03[/tex]

b) [tex]P(D/L')=0.7[/tex]

Step-by-step explanation:

From the question we are told that

Probability of discovered [tex]P(D)=0.88[/tex]

Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]

Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]

Generally the probability that aircraft are not discovered is mathematically given as

[tex]P(D')=1-0.88[/tex]

[tex]P(D')=0.12[/tex]

Generally the probability that aircraft with locator are discovered is mathematically given as

[tex]P(L'/D)=1-0.72[/tex]

[tex]P(L'/D)=0.28[/tex]

Generally the  Probability of lost aircraft without locator mathematically given as

[tex]P(L/D')=1-0.86[/tex]

[tex]P(L/D')=0.14[/tex]

Generally the  Probability of having a locator mathematically given as

[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]

[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]

[tex]P(L)=0.6504[/tex]

a)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]

[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]

[tex]P(D'/L)=0.0258302583[/tex]

[tex]P(D'/L)=0.03[/tex]

b)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]

[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]

[tex]P(D/L')=0.704805492[/tex]

[tex]P(D/L')=0.7[/tex]

x = 1 + √ 55 , 1 − √ 55 or

x = 8.41619848 , − 6.41619848

Answer:

You move the -5 to the other side.

Answer:

you move the -5 to the other side equation

Answer:

Two slots, numbered 0 and 00, are green.  

What are the odds against a red slot's coming up on any spin of the wheel?

Step-by-step explanation:

Answer:

The slope is 9 3/4 or 9.75

Step-by-step explanation:

slope= rise/run or y/x

29.25/3=9.75 or 9 3/4

Answer:22%

Step-by-step explanation:

The simplest form of the total of 75/6 would be 432 / 7500.

A percentage is a minimum number or ratio that is measured by a fraction of 100. Suppose the value of which a thing is expressed in percentage is "a' Suppose the percent that considered thing is of "a" is b%

Then the percent; per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Given that out of 75/6 is 72%.

Therefore, it will be written as;

x of 75/6 = 72%.

We need to find the value of total x.

x of 75/6 = 72%.

x × 75/6 = 72%

x × 75/6 = 72/100

Cross multiplication;

x = 72/100  ×  6/75

x = 432 / 7500

x = 0.0576

Hence, the simplest form of the total of 75/6 would be 432 / 7500.

Learn more about percentages;

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Answer:

4.125 in decimal form and 4 1/8 in simplified fraction form

Step-by-step explanation:

The value of multiplication of an improper fraction 3/8 and a whole number 11 as a mixed number is 4 1/8.

To calculate 3/8 × 11 as a mixed number, we can follow these steps:

Step - 1:

Multiply the whole number by the numerator of the fraction:

11 × 3 = 33

Step - 2:

Divide the result by the denominator of the fraction:

33 ÷ 8 = 4 with a remainder of 1

Step - 3:

The whole number part of the mixed number is the quotient from the division:

The whole number part is 4.

Step - 4:

The fractional part of the mixed number is the remainder divided by the original denominator:

The fractional part is 1/8.

Therefore, the answer to 3/8 × 11 as a mixed number is 4 1/8.

To learn more about the fractions;

https://brainly.com/question/10354322

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Answer:

It was the chicken salad.

Step-by-step explanation:

If you multiply each amount of people that ate one or the other and how many got sick, you get:

Chicken salad: 32

Cream pie: 27

And 32 people got sick so it must be the chicken salad.

Answer:

B

Step-by-step explanation:

✔️Rate of change using two points on the line, say (2, 60) and (3, 75);

Rate of change (m) = ∆y\/∆x = (75 - 60) / (3 - 2) = 15/1

Rate of change = 15

This means each class costs $15

✔️Initial value is the y-intercept (b). It represents the initial start-up fee.

To find initial value/y-intercept (b), substitute m = 15 and (x, y) = (2, 60) into y = mx + b.

Thus:

60 = 15(2) + b

60 = 30 + b

60 - 30 = b

30 = b

b = 30

Therefore, initial start-up fee is $30.

Answer:

Write and solve an equation of proportions:

Step-by-step explanation:

4/5 ton 5/6 bridge

-------------- = ------------------

x 1 bridge

Then (4/5) * (1 bridge) = (5/6 bridge)x.

Solve this for x by mult. both sides of the equation by 6/5:

(6/5)(4/5) = x

24/25 tons of concrete are needed to complete the entire bridge.

Answer:

136

Step-by-step explanation:

68 * 2 = 136