MATHEMATICS COLLEGE

A crew of highway workers paved 12 mile in 14 hour. If they work at the same rate, how much will they pave in one hour?

Answers

Answer 1
Answer:

Answer:

0.857 miles in 1 hour

Step-by-step explanation:

It is given that,

A crew of highway workers paved 12 mile in 14 hour.

We need to find how much will they pave in 1 hour if they work at the same rate.

14 hours = 12 miles

To find how much they pave in 1 hour, we must divide 12 by 14 as follows :

1\ \text{hour}=(12)/(14)\ \text{miles}\n\n=0.857\ \text{miles}

Hence, they pave 0.857 miles in 1 hour.0.857 miles in 1 hour.

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Jenny has 1 stamp to begin her collection. She then collects 7 stamps per day. Let y represent the total amount of stamps in Jenny'scollection after x days.

Express the equation in the form of y=mx+b
Enter your answer in the box
PLS HELP!!!

Answers

Answer:

y=7x+1

Step-by-step explanation:

Linear modeling

Consists of finding a linear equation that represents a situation in real life.

Jenny starts her stamps collection with only 1 stamp.

Then she collects 7 stamps per day.

Let's call

y=total amount of stamps in Jenny's collection

x=number of days

Knowing Jenny collects 7 stamps per day, then in x days, she collects 7x stamps. The total amount can be obtained by adding the first stamp she had. Thus, the model is:

y=7x+1

Answer:

Was it correct??? y=7x+1 is that correct or wrong?

Step-by-step explanation:

The sum of three consecutive odd numbers is 51​

Answers

51 divided by three is 17 and 17 is an odd number. So 17 + 17 + 17= 51

Hope this helps ya

Answer:

the answer for the question is 25 and 26

Describe the transformation of the parent function f(x) = x^2 a. g(x) = -(x + 5)^2 + 2 b. h(x) = (x + 2)^2 - 7

Answers

Answer:

g(x) is shifted left 5 units, shifted 2 units up, & reflected over the x-axis.

h(x) is shifted left 2 units and shifted 7 units down.

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k     where

  • a is the vertical stretch
  • -a is a reflection over the x-axis
  • (h, k) is the vertex
  • --> h is the horizontal shift (positive is RIGHT, negative is LEFT)
  • --> k is the vertical shift (positive is UP, negative is DOWN)

f(x) = x²

g(x) = -(x + 5)² + 2

         a = -1     reflected over the x-axis

         h = -5    shifted left 5 units

         k = +2    shifted 2 units up

h(x) = (x + 2)² - 7

         a = 1     no change from f(x)

         h = -2    shifted left 2 units

         k = -7     shifted 7 units down

Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Would we be correct in inferring that such a relationship also exists in the population? Explain your answer. What is the probability that any relationship we found is due to pure chance?

Answers

Answer:

No

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

8. Willow earns $10 per hour working part-time at a diner. Write and solve an inequality to determinethe number of hours, h, Willow must work in a week in order to earn more than $200. Then interpret
the solution.
Willow must work
hours this week.

Answers

Multiply the number of hours worked (h) by earnings per hour $10 to get

10h

This needs to be more than ( Greater than) 200

Now you have 10h > 200

Solve for h by dividing both sides by 10:

h >20

This means she needs to work more than 20 hours this week.

Answer:

10h=200

h=20

Step-by-step explanation:

10h=200

10h/10=200/10

h=20

Make m the subject when g=square root sign over m-5

Answers

Answer:

m = g² + 5

Step-by-step explanation:

Step 1: Write equation

g = √(m - 5)

Step 2: Solve for m

  1. Square both sides: g² = m - 5
  2. Add 5 to both sides: g² + 5 = m
  3. Rewrite: m = g² + 5
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