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3 years ago

In rectangle JKLM, angle JML is 3x - 15. Find the value of x.

1 answer:

8 0

All angles of a rectangle are right angles.
Right angles measure up to 90 degrees.
JML is also a right angle which means 3x - 15 is equal to 90

3x - 15 = 90
3x = 105
x = 35

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You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

3 years ago

How do you do this? plz I really need help.

Vlada [557]

The top two answers are equivalent, while the bottom one is not. You would use distributive property in the parentheses. If both expressions are the same, they are equivalent

7 0

3 years ago

What is the surface area of the<br> rectangular prism below?

Vikki [24]

To Find Surface Area:

So Surface area is found according to this equation SA=2lw+2lh+2hw

6and 1/2 times 2 is 13 that would be the 2 sides

then you do 3 times 6 1/2 which is 19 1/2, which is the top and bottom

finally you do 3 times 9 1/5 which is 27 3/5.

Now since 1/2 and 1/5 are not the same, we find the LCM or Least Common Multiple, which is 10 so 1/2 is multiplied by 5 which is 5/10 and 3/5 is multiplied by 2 which makes 6/10.

Adding 5/10 and 6/10 is 11/10 or 1 1/10

13+6+9=28

28+1 1/10 = 29 1/10

and finally because we did surface area it is 29 1/10 CM^2

__________________________________________________________

To Find Volume:

The Equation used to find volume is l*w*h

The Length is 6 1/2

Height is 9 1/5

width is 3

First, lets again convert the fractions

5/10 and 6/10

6 5/10 times 9 6/10 is 62.4

62.4 times 3 is 187.2

The .2 and be put into 2/10 or 1/5 so the FINAL answer is 187 1/5

Another way to check this is

6*9*3=162

1/5*1/2

Hope this helped :)

~Ukiahsmith1

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denpristay [2]

No u only have 2 7/16

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Dima020 [189]

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