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2 years ago

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On Monday, the price of gas decreased by 6 cents per gallon. On Tuesday it increased by 9 cents per gallon. What was the overall

increase or decrease in the price of gas by the end of the day Tuesday?

1 answer:

Karolina [17]2 years ago

5 0

The overall increase of the price was 3 cents per gallon

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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

so

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

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2 years ago

Rewrite the set M by listing its elements. Make sure to use the appropriate set notation

Anika [276]

We are given the rule for the set,
M= {x | x is an integer and -2 < x < 1}In words, this set translates to numbers that are integers and greater than -2 but less than 1.
The actual elements of the set are
M = { -1, 0}
There are only two elements.

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3 years ago

Solve please and SHOW UR WORK

Ksenya-84 [330]

Answer:

1.3x

Step-by-step explanation:

X=1

1+0.3=1.3 (don't forget to add 'X')

So, the answer is 1.3x

hope this helps!

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2 years ago

P/5 + 6 = 10<br> 1. 44<br> 2. 30<br> 3. 20<br> 4. -20<br> What one

san4es73 [151]

Answer:

20

Step-by-step explanation:

P/5 + 6 = 10

P/5 = 10 - 6

P/5 = 4

(cross multiply)

P = 5 × 4

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3 years ago

Blank tens 15 ones = 6 tens 5 ones

alexgriva [62]

5 tens because 6 tens plus 5 ones is equal to 65 and x tens plus 15 ones is equal to 65 also so it would be 5 tens because 5 times 10 equals 50 then plus 15 equals 65 so 65=65

Answer: 5 tens

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3 years ago