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professor190 [17]
1 year ago
7

The automaker of your new car recommends an oil change following the first 5,000 miles and then every 3,000 miles thereafter. If

you plan to drive the car 250 miles a week, how many oil changes will you need the first year?
Mathematics
1 answer:
Jlenok [28]1 year ago
7 0

To determine how many oil changes you will need the first year, you can calculate the number of miles driven the first year and then use that to determine how many groups of 3000 miles you will drive after the first 5000 miles.


1. 52 x 250 = 13000 miles

2. 13000 miles - 5000 miles (1 oil change) = 8000 miles

3. 8000 miles - 3000 miles (1 oil change) - 3000 miles (1 oil change) = 2000 miles


The first year, you will need 3 oil changes.

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Qing attached a dog ramp to her bed, which allows her dog to easily climb onto the mattress. The ramp is 48 inches long. The bas
geniusboy [140]
Using the formula a^2+b^2=c^2you can fill in the numbers so that a=height of mattress in inches,b=40 inches or distance from base of the bed and c=48 or length of the ramp. a^2+40^2=48^2a^2+1600=2304
So then it becomes2304-1600=a^2704=a^2 26.5+=aSo, The top of the mattress(after rounding) is 26.5 inches off the ground.
4 0
2 years ago
Mackenzie has a loyalty card good for a 20% discount at her local hardware store. What would her total in dollars and cents be,
8_murik_8 [283]

Answer: $14.0

Step-by-step explanation:

For us to calculate this question, we have to find 20% of $17.45 and then subtract the value gotten from $17.45. This will be:

= $17.45 - (20% × $17.45)

= $17.45 - (0.2 × $17.45)

= $17.45 - $3.49

= $13.96

= $14.0 to nearest cent

6 0
1 year ago
Read 2 more answers
The simplest form of the expression -2x2(x – 5) + x(2x2 – 10x) + x is ____________<br> .
Mars2501 [29]

Answer:

x

Step-by-step explanation:

Given

- 2x²(x - 5) + x(2x² - 10x) + x ← distribute both parenthesis

= - 2x³ + 10x² + 2x³ - 10x² + x ← collect like terms

= x

5 0
2 years ago
Simplify: StartRoot 64 r Superscript 8 Baseline EndRoot
patriot [66]

Answer:

  8r^4

Step-by-step explanation:

  \sqrt{64r^8} =\sqrt{(8r^4)^2}=\boxed{8r^4}

5 0
2 years ago
Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFraction right-parenthes
lina2011 [118]

Answer:

y-\frac{1}{3}=\frac{3}{4}(x-4)              

Step-by-step explanation:              

we know that            

The equation of the line into point slope form is equal to                        

y-y1=m(x-x1)              

In this problem we have          

(x_1,y_1)=(4,\frac{1}{3})                            

m=\frac{3}{4}            

substitute the given values                

y-\frac{1}{3}=\frac{3}{4}(x-4)

therefore

y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)

             

6 0
1 year ago
Read 2 more answers
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