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Shalnov [3]
3 years ago
8

HELP! 20 POINTS!

Mathematics
1 answer:
adell [148]3 years ago
4 0

Answer:

Small tire, 9in ----> 127 rotations

Big tire, 30in ------> 38 rotations

Step-by-step explanation:

First, we convert the values of feet to inches

600 feet = 7200 in

Each rotation of a tire is equivalent to a traveled distance equal to the perimeter

P = 2*pi*radius

This means that if we divide the traveled distance by the perimeter of each tire, we can find out the number of rotations.

Small tire, 9in

7200 in / 2*pi*9in  = 127 rotations

Big tire, 30in

7200 in / 2*pi*30in  = 38 rotations

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A car dealership decreased the price of a certain car by 13%. The original price was $45,400.
ira [324]

Answer:

5902

Step-by-step explanation:

Solution: 13% off 45400 is equal to (13 x 13) / 100 = 5902.

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3 years ago
sophina brought 3 yards of trim to put around a rectangular scarf she wants the width of the scarf to be a whole number that is
alukav5142 [94]
If u add 3+6+12 u will get 21 inches
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Please answer this correctly without making mistakes
Makovka662 [10]
12%

The fraction is 12/100, which is the same as 12%

Hope this helps!
3 0
3 years ago
Classify each system of equations as having a single solution, no solution, or infinite solutions.
mina [271]
To find what the answer is for this problem, we need to find out whether each of them have infinite, no, or single solutions. We can do this individually.

Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.

2y = -4x + 10
y = -2x +5

Since both equations give the same line, the first one has infinite solutions.

 Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form. 

x = 26 - 3y becomes
3y = -x + 26
y = -1/3x + 26/3 

2x + 6y = 22 becomes
6y = -2x + 22
y = -1/3 x + 22/6

Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions. 

Now the third one. We do the same steps. 

5x + 4y = 6 becomes
4y = -5x + 6
y = -5/4x + 1.5
 
10x - 2y = 7 becomes
2y = 10x - 7
y = 5x - 3.5

Since these two equations are completely different, that means that this system has one solution.

Now the fourth one. We do the same steps again. 

x + 2y = 3 becomes
2y = -x + 3
y = -0.5x + 1.5

4x + 8y = 15 becomes
8y = -4x + 15
y = -1/2x + 15/8

Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions. 

Now the fifth one. 

3x + 4y = 17 becomes
4y = -3x + 17
y = -3/4x + 17/4

-6x = 10y - 39 becomes
10y = -6x + 39
y = -3/5x + 3.9

Since these equations are completely different, there is a single solution. 

Last one!

x + 5y = 24 becomes
5y = -x + 24
y = -1/5x + 24/5

5x = 12 - y becomes
y = -5x +12

Since these equations are completely different, this system has a single solution. 
8 0
3 years ago
Reca was approved for a credit card that charges an apr of 26% what is her monthly interest rate?
Lesechka [4]

Answer:

i_m=0.01945 or 1.945%

Step-by-step explanation:

Term annual percentage rate(APR) is the annual interest rate charged ona financial year for a duration of one year. APR can be converted to weekly, monthly, daily or even semi-annual rates using the below formula.

Effective rate for period = (1 + annual rate)(1 / n of periods) – 1

Rate is given as:

i_m=(1+i)^\frac{1}{12}-1\\i_m=(1+0.26)^\frac{1}{12}-1\\i_m=0.01945

7 0
2 years ago
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