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Marat540 [252]
3 years ago
5

Karl participated in a two-day charity walk. His parents donated money for each mile he walked. Karl walked 3 1/4 miles on the f

irst day and 5 1/2 miles on the second day. His parents donated $175. How much money did his parents pay for each mile
Mathematics
1 answer:
Dvinal [7]3 years ago
4 0
This is quite simple. We will first add the amount of miles walked together.
3.25+5.5=8.75
Then we will divide 175 by the number of miles walked which in this case is 8.75.
Then we get 20 which is the amount of money that his parents donated for every mile that he walked.
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Compare the pair of fractions. ( &lt;,&gt;,=) <br> 3/4__5/6
Andrew [12]

Answer:

3/4 is less < than 5/6

Step-by-step explanation:

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3 years ago
If the top of a 4.50 m ladder reaches twice as far up a vertical wall as the foot of the
Free_Kalibri [48]

Answer:

4.02 meters.

Step-by-step explanation:

In the diagram, the length of the ladder is |AC|.

If the foot of the ladder is x meters from the base of the ladder

Then the distance of the ladder up the wall, AB=2x meters.

Using Pythagoras Theorem

|AC|^2=|AB|^2+|BC|^2\\4.5^2=(2x)^2+x^2\\4.5^2=4x^2+x^2\\20.25=5x^2\\$Divide both sides by 5\\x^2=20.25\div 5\\x^2=4.05\\x=\sqrt{4.05}=2.01 feet

Therefore, the distance of the ladder up the wall,

AB=2 X 2.01 =4.02 meters.

5 0
3 years ago
Read 2 more answers
Find the critical value z alpha/2 that corresponds to the given confidence level. ​81%
Karolina [17]

Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie. The required critical value is 1.31.

<h3></h3><h3>What are critical Values?</h3>

Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie; for example, if the null hypothesis is true, the critical value is surpassed with probability alpha.

The value of α can be written as,

α = 1 - 0.81 = 0.19

z_{\frac{\alpha}{2}} = \dfrac{0.19}{2}= 0.095

Now, using the z-table the value of z will be,

z = 1.31

Hence, the required critical value is 1.31.

Learn more about Critical Values:

brainly.com/question/14508634

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5 0
2 years ago
A lease on a car costs $800 for the first three months and then $200 per additional month. Ms. Jessop paid $1,600 to lease the c
bixtya [17]

Answer:

B.

200x + 800 = 1,600; 4 months

Step-by-step explanation:

Since 200 is the amount you pay each month, and x is the months, we pay 200 dollars for each month. We also add 800 because that was the initial price she paid, which is known. We then complete the equation by making it equal to 1600 dollars, which is the total amount she paid.

When we get 200x + 800 = 1,600, we solve for x.

First, we minus 800 on each side to isolate x. 200x=1600-800

Then, we simplify, 200x=800

Lastly we divide by 200 on both sides to completely isolate x and complete the equation. 200x=800÷200

Simplify, getting x=4 (months)

Hope you understood!

8 0
3 years ago
PLEASE HELP ALGEBRA 2 <br> Question is on the photo below
Sedbober [7]

Answer:

The value of f(x) - g(x) is:

f(x) - g(x) =  2x² + 6x - 4

Step-by-step explanation:

Given

f(x) = 3x² + x - 3

g(x) = x² - 5x + 1

To determine

f(x) - g(x)

Using the formula

f(x) - g(x) =  3x² + x - 3 - ( x² - 5x + 1)

              = 3x² + x - 3 - x² + 5x - 1

              = 2x² + 6x - 4

Therefore, the value of f(x) - g(x) is:

f(x) - g(x) =  2x² + 6x - 4

6 0
3 years ago
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