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A bicyclist covered 5/7 of his route and an additional 40 miles. He has yet to cover 118 miles less than 0.75 of his route. How

Liula [17]

Answer:

168 miles.

Step-by-step explanation:

5/7x+40+0.75x−118=x

Step 1: Simplify both sides of the equation.

5/7x+40+0.75x−118=x

5/7x+40+0.75x+−118=x

(5/7x+0.75x)+(40+−118)=x(Combine Like Terms)

1.464286x+−78=x

1.464286x−78=x

Step 2: Subtract x from both sides.

1.464286x−78−x=x−x

0.464286x−78=0

Step 3: Add 78 to both sides.

0.464286x−78+78=0+78

0.464286x=78

Step 4: Divide both sides by 0.464286.

0.464286x/0.464286=78/0.464286

x=168

6 0

3 years ago

What number is 7 units to the left of -1?

expeople1 [14]

7 unit to the left, means it is 7 less than -1.
-1-7 = -8

Ans: -8

7 0

3 years ago

Mrs. Kelly creates a garden. She buys 15 flowers and 3 bushes for a total cost of $160.32. Each bush costs $11.50 more than each

m_a_m_a [10]

Each bush costs $18.49

Step-by-step explanation:

Mrs. Kelly creates a garden

She buys 15 flowers and 3 bushes for a total cost of $160.32
Each bush costs $11.50 more than each flower

We need to find how much each bush costs

Assume that the cost of each flower is $x and the cost of each

bush is $y

∵ She by 15 flowers and 3 bushes for a total cost $160.32

∵ The cost of each flower is $x

∵ The cost of each bush is $y

∴ 15x + 3y = 160.32 ⇒ (1)

∵ Each bush costs $11.50 more than each flower

- That mean equate y by x plus 11.50

∴ y = x + 11.50 ⇒ (2)

Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

∵ 15x + 3(x + 11.50) = 160.32

- Simplify the left hand side

∴ 15x + 3x + 34.5 = 160.32

- Add like terms in the left hand side

∴ 18x + 34.5 = 160.32

- Subtract 34.5 from both sides

∴ 18x = 125.82

- Divide both sides by 18

∴ x = 6.99

Substitute the value of x in equation (2) to find y

∵ y = 6.99 + 11.5

∴ y = 18.49

Each bush costs $18.49

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

3 0

3 years ago

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determ

Hunter-Best [27]

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that $n = 100, \pi = \frac{20}{100} = 0.2$

68% confidence level

So $\alpha = 0.32$ , z is the value of Z that has a pvalue of $1 - \frac{0.32}{2} = 0.84$ , so $Z = 0.995$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24$

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

4 0

3 years ago

1. Kelsey has $20 and is saving $6 per week, Janelle has $150 and is spending S4 per week. When will they

denis23 [38]

You have this man keep doing what u doing

3 0

2 years ago