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3 years ago

Terry drove 228 miles in 6 hours at a constant speed. How long would it take him to drive 285 miles at the same speed ?

2 answers:

8 0

First divide 228 miles by 6 hours and u get 38 miles per hour
next, divide 285 miles by 38 miles and u get 15/2 or 7.5 hours
the answer is 7 and a half hours
hope this helps! good luck!

Shkiper50 [21]3 years ago

5 0

First find out how many miles per hour. 310/5= 62. Divide that number by 60 (60 minutes in an hour). 62/60= 1.033333. Terry drives 1.033333 miles per minute. Multiply 1.033333 times 403 to see how many minutes he drove. 1.033333*403=416.433333. It took Terry 416 minutes or 6 hours and 56 minutes.

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Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

7 months ago

What is the annual interest rate if $1600 is invested for 6 years and $456 in interest is earned

sergij07 [2.7K]

Use the formula i = p*r*t:
$456
$456 = $1600*r*6. Solving for r, r = ----------------- = 0.0475, or 4 3/4%
($1600)(6)

6 0

3 years ago

What is the measure of the missing angle?

Yakvenalex [24]

Answer:

140°

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2 years ago

A box contains 2 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen

Lapatulllka [165]

Answer:

50% pen first box and 62.5% crayon from second box

Step-by-step explanation:

The first box contains 4 items, 2 of each. This means there are $\frac{2}{4}$ pens. This gives you a $\frac{2}{4}$ chance of picking out a pen. This can be written as 50%.

The second box contains 8 items, 3 color pencils and 5 crayons. This means $\frac{5}{8}$ of the contents are crayons, meaning you have a $\frac{5}{8}$ or 62.5% chance of picking a crayon.

*For working out the percentages, you should convert the fraction to a decimal and then multiply that by 100.

**This content involves fractions, decimals and percentages, as well as basic probability, which you may want to revise. I'm always happy to help!

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2 years ago

The number of blueberry muffins that a baker makes each day is

zysi [14]

Answer:

72 I think

Correct me if I'm wrong

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3 years ago