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Rudik [331]
2 years ago
9

Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hou

rs. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Mathematics
2 answers:
antiseptic1488 [7]2 years ago
8 0

Answer:

y = 5x + 3

y = 5.5x + 2

0.5x = 1

x = 2

y = 13

anyways what I think this means for the variables is x is equal to x in the second equation and y is equal to y in the second equation

Step-by-step explanation:

S_A_V [24]2 years ago
3 0
Y = 5x + 3
y = 5.5x + 2
0.5x = 1
x = 2
y = 13
I hope any of this will help you. c:
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In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel
Liula [17]

Answer:

Option A is correct.

y = 35.4 bushels per acre when rainfall = 7.1 inches

Step-by-step explanation:

An image of the steps to obtain the equation that relates x to y is attached to this answer.

n = number of variables = 9

μₓ = mean of variable x (rainfall in inches)

μᵧ = mean of variable y (yield in bushels per acre)

σₓ = standard deviation of variable x (rainfall in inches)

σᵧ = standard deviation of variable y (yield in bushels per acre)

y = 4.379x + 4.268

when x = 7.1

y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.

7 0
2 years ago
Suppose the area of a circle is 254.4696 square inches. Whats the radius of the circle? Use pie=3.1416. A. 18 in B. 81 in. C. 9
andrezito [222]

Answer:

radius = 9 inches

Step-by-step explanation:

Area = \pi r^{2}

r = radius

Area = 254.4696 square inches

so we have:

r^{2} = \frac{A}{\pi} \\\\r = \sqrt{\frac{A}{\pi}} \\\\r = \sqrt{\frac{254.4696}{3.1416}} \\\\r = \sqrt{81}

so we have: r = 9 inches

6 0
2 years ago
At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts, using a scale from 1 to 10, where 10
Art [367]

Answer:

As   2.551 < 3.84 therefore we reject H0.

As 44.803 > 4.46 so we accept null hypothesis.

Step-by-step explanation:

The answer is attached.

There are three judges so v1 = 3-1= 2  and v2 = (4*2)= 8

There are five gymnasts so v1 = 5-1= 4 and v2=  (4*2)= 8

For alpha = 0.05 we find the value of F1 and F2 from the table.

Download docx
6 0
2 years ago
a recipe calls for 3 ounces of flour for every 2 ounces of sugar. Find the constant of proportionality.
Ket [755]
3:2 


for every 3 ounces of flour, you need 2 ounces of sugar
7 0
2 years ago
Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.
Ede4ka [16]

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

Step-by-step explanation:

We need to  describes Catron’s error?

The steps are:

Step 1: (Negative 9) (2 + two-fifths)

Step 2: (Negative 9) (Negative 2) + (negative 9) (two-fifths)

Step 3: Negative 18 + (negative 9) (two-fifths)

Step 4: (negative 27) (two-fifths)

Solution: Negative StartFraction 54 over 5 EndFraction = Negative 10 and four-fifths

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

<u>Solving </u>

Solving the equation by removing the error:

Step 1: (Negative 9) (2 + two-fifths)

taking LCM of 2 and two-fifths (2/5)

Step 2: (Negative 9) (twelve-fifths)

Step 3: (Negative 9*twelve)-fifths

Step 4: Negative one hundred and eight- fifths

Solution: Negative StartFraction -108 over 5 EndFraction = Negative one hundred and eight- fifths

Keywords: Solving Expressions

Learn more about Solving Expressions at:

  • brainly.com/question/2456302
  • brainly.com/question/7014769
  • brainly.com/question/11007572
  • brainly.com/question/11334714

#learnwithBrainly

5 0
2 years ago
Read 2 more answers
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