A service center charges a fee of x dollars for an oil change plus y dollars per quart of oil used. A sample of its sales record is shown.

A table shows the oil tank size in quarts and total cost for two customers. Customer A: Oil tank size, 5 quarts. Total cost, 22.45 dollars. Customer B: Oil tank size, 7 quarts. Total cost, 25.45 dollars.

Write a system of linear equations that represents this situation.

Equation for customer A:
____=22.45$

Equation for customer B:
___=25.45$

Question 2
Find the fee and cost per quart of oil.

$ fee?

$ per quart of oil?

Answer:

acute

Step-by-step explanation:

all the angles are below 90 degrees

Answer:

Step-by-step explanation:

I HOPE IT HELPS :)

Answer:

c and b and a

Step-by-step explanation:

The store should charge a price between ($0, $0.94] to sell at least 625 pads each week. The store should charge a price between ($0, $1.75) to sell more than 300 pads each week. The store should charge a price between ($2.00, $2.50) to sell less than 200 pads each week. The store should charge a price between [$1.31, $2.50) to sell at most 475 pads each week.

a)

In order to solve part a of the problem, we need to set our equation as an inequality. Part a asks us to find the price the store should charge to sell at least 625 pads each week. The word at least gives us a clue on what symbol to use. In this case we should use the [tex]\leq[/tex] symbol, like this:

[tex]625\leq 1000-400p[/tex]

and now we can solve the inequality, we can start by switching places between the 625 and the 400p so we get:

[tex]400p\leq 1000-625[/tex]

[tex]400p\leq 375[/tex]

and we divide both sides into 400, so we get:

[tex]p\leq \frac{375}{400}[/tex]

[tex]p\leq $0.94[/tex]

So this can be rewritten in interval notation like this:

($0, $0.94] The price they should charge can be located between those two values.

b)

In order to solve part b of the problem, we need to set our equation as an inequality. Part b asks us to find the price the store should charge to sell at more than 300 pads each week. The word more than gives us a clue on what symbol to use. In this case we should use the < symbol, like this:

[tex]300< 1000-400p[/tex]

and now we can solve the equation, we can start by switching places between the 300 and the 400p so we get:

[tex]400p< 1000-300[/tex]

[tex]400p< 700[/tex]

and we divide both sides into 400, so we get:

[tex]p< \frac{700}{400}[/tex]

[tex]p< $1.75[/tex]

So this can be rewritten in interval notation like this:

($0, $1.75) The price they should charge can be located between those two values.

c)

In order to solve part c of the problem, we need to set our equation as an inequality. Part c asks us to find the price the store should charge to sell less than 200 pads each week. The word less than gives us a clue on what symbol to use. In this case we should use the > symbol, like this:

[tex]200> 1000-400p[/tex]

and now we can solve the inequality, we can start by switching places between the 200 and the 400p so we get:

[tex]400p> 1000-200[/tex]

[tex]400p> 800[/tex]

and we divide both sides into 400, so we get:

[tex]p> \frac{800}{400}[/tex]

[tex]p> $2.00[/tex]

at this point we need to know what the maximum price the store can charge is. We can do so by setting the equation equal to zero and solve for p, so we get:

0<1000-400p

so we can now move the 400p to the other side of the equation, so we get:

400p<1000

and divide both sides into 400 so we get:

[tex]p<\frac{1000}{400}[/tex]

which simplifies to:

p<$2.50

if the store charges more than $2.50 they will not sell any item at all.

So this can be rewritten in interval notation like this:

($2.00, $2.50) The price they should charge can be located between those two values to sell less than 200 pads each week.

d)

In order to solve part d of the problem, we need to set our equation as an inequality. Part d asks us to find the price the store should charge to sell at most 475 pads each week. The word at most gives us a clue on what symbol to use. In this case we should use the [tex]\geq[/tex] symbol, like this:

[tex]475\geq 1000-400p[/tex]

and now we can solve the inequality, we can start by switching places between the 475 and the 400p so we get:

[tex]400p\geq 1000-475[/tex]

[tex]400p\geq 525[/tex]

and we divide both sides into 400, so we get:

[tex]p\geq \frac{525}{400}[/tex]

[tex]p\geq $1.31[/tex]

So this can be rewritten in interval notation like this:

[$1.31, $2.50) The price they should charge can be located between those two values to sell 475 pads at most each week.

You can check the following link for further information.

https://brainly.com/question/13728818?referrer=searchResults

Answer:

12/25

Step-by-step explanation:

24/50 =12/25

÷2

Answer:

12/25 is the lowest terms it can be simplified

Answer:

true

Step-by-step explanation:

Answer:

5.79

Step-by-step explanation:

I think I'm not very sure tho

It's 7.723, not 5.79.

If you get your bodmas correctly, you should get 7.723.

Solution:

Do "((-4.6) - 1.9) first, which is -6.5 basically.

After that it is (-2.78) x (-2.8), which is 7.784.

After that do (2.2 - 1.8) ÷ ((-4.6) - 1.9), which is -0.061

After that 7.784 + -0.061, which makes it 7.723.

Answer:

D. 2/3

Step-by-step explanation:

Before we solve the equation let's take a look at it.

f(x) = -2x + 3

See how x appears in both f(x) and as the variable in the second half of the equation?

f(x) means "The function of x." You might also see g(x), h(x), and while those are the most common it can really be any letter, and any variable inside the parentheses.

So when we see f(-1), that means "The function of -1" or "The function of x when it is equal to -1."

Catching on? We need to replace x with -1 to solve for f(-1).

So here we go:

f(x) = -2x + 3

f(-1) = -2(-1) + 3

f(-1) = 2 + 3

f(-1) = 5

Voilà! We have solved for f(-1). Hope this helped.

Answer:

3/4

Step-by-step explanation:

1 1/2 can be expressed as an improper fraction 3/2

hence

1 1/2 ÷ 2

= 3/2 ÷ 2

= 3/2 x 1/2

= 3/4

Answer:

Step-by-step explanation:

S=a*b=12*14=168feet²

Answer:

60

Step-by-step explanation:

3x2=6

2x5=10

6x10=60

????

Answer:

it should be <...........

Answer:

its < some fractions can be bigger than other fractions but whole numbers like 1. 2. 3. and .4 are always bigger t but in this than fractions but in this case the fraction and the right is the biggest so b

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

first one:4/10

second one: 8/24

Step-by-step explanation:

i think this works but a hundred 100% sure though.

here you go hope its correct.

Answer:

I believe 70

Step-by-step explanation:

Answer: 3.25

Step-by-step explanation:

Answer:

A Rectangle

Step-by-step explanation:

a wrecked angle

A crushed angle is commonly referred to as a "rectangle" or a "wrecked angle".

When an angle is crushed or collapsed, its sides are no longer straight or evenly spaced, and its vertex may be shifted or deformed.

This deformation can occur in various contexts, such as in physical objects or in mathematical diagrams. The angle's original shape has been significantly changed due to external influences.

Thus, a crushed angle is commonly referred to as a "rectangle" or a "wrecked angle".

This is a play on words, as a rectangle is a shape with four right angles, and when an angle is crushed or wrecked, it can resemble a rectangle.

Learn more about the rectangles here:

brainly.com/question/20693059

#SPJ6

Answer:

Angle ABC = 90°

Step-by-step explanation:

Angle AOC= 180°

so Angle ABC = 0.5 x AOC

or another way to explain is

Rule 1: Angles in semi circle are always 90°

Step-by-step explanation:

[tex] \tt{ 1. \: \: 4 \frac{1}{9} + 1 \frac{1}{2}}[/tex]

⇢ [tex] \tt{ \frac{37}{9} + \frac{3}{2} }[/tex]

⇢ [tex] \tt{ \frac{37 \times 2 + 3 \times 9}{18} }[/tex]

⇢ [tex] \tt{ \frac{74 + 27}{18} }[/tex]

⇢ [tex] \tt{ \frac{101}{18}} [/tex]

⇢ [tex] \boxed{ \tt{5 \frac{11}{18}} }[/tex]

---------------------------------------------------------

[tex] \tt{ \: 2. \: \: 4 \frac{1}{2} \div \frac{3}{5}}[/tex]

⇢ [tex] \tt{ \frac{9}{2} \times \frac{5}{3}} [/tex]

⇢ [tex] \tt{ \frac{9 \times 5}{2 \times 3}} [/tex]

⇢ [tex] \tt{ \frac{45}{6}} [/tex]

⇢ [tex] \boxed{ \tt{7 \frac{3}{6}} }[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

b

Step-by-step explanation:

this is the most likely answer because from '81 to '00 there were between 150-200, so it is also likely in this range

Answer:

16

Step-by-step explanation:

The answer is .00064, because if you were to make in Thousand form it would look like this ➡️ 64,000. See the 3 Zeros? that is what makes it a thousand. now wht woul happen if we switched that around? well it would look like this ➡️ .00064. as you can see, there are 3 zeros, like in the last example. so your answer is ''.00064''

Answer:

I believe it is four dollars

Answer:

see explanation

Step-by-step explanation:

Give the graph of y = f(x) then y = f(x + a) represents a horizontal translation of y = f(x)

• If x > 0 then a shift to the left of a units

• If x < 0 then a shift to the right of a units

Thus

y = f(x - 2) is the graph of y = f(x) translated 2 units right

The expression would be: m + 0.15m and to know how much she paid I believe it would be 26.09 (rounded)

Answer: 2x+17

Step-by-step explanation: add -5 and 22

______________________________

 - You could also solve this by  flipping the numbers around and subtracting 22 - 5, Which still gives you 17.

So your answer is [tex]\bold{(2x+17)}[/tex].

______________________________

Answer:

Step-by-step explanation:

Divide both sides by -20. If you divide by a negative, you have to switch the inequality sign. So now you have this for t:

t < 4

Draw a circle around 4 on a number line, but do not shade it in. Then everything below 4 is the right answer for the value of t.

[tex]\huge\purple {\mid {\fbox {\tt {Solution}}\mid}}[/tex]

[tex]\longmapsto - 5 = - 10 + 5[/tex]

Answer:

The answer is 5

Step-by-step explanation:

-10 + 5 equals -5.

Think of 5 positive things and 10 negative things.

O O O O O

P  P  P  P  P  P  P  P  P  P

5 of the positive things will cancel out 5 of the negative things, leaving behind 5 negative things.

#teamtrees #WAP (Water And Plant)

Answer:

1 3/4

Step-by-step explanation:

First write the equation in mixed fraction form as;

1 3/4 + 1 1/3 = 1 _/12 + 1 4/12 ⇒  7/4  + 4/3 = _ + 16/12

7/4  + 4/3 = _ + 16/12

37/12 = _ + 16/12

37/12 - 16/12 = _

= 21/ 12

= 1 9/12

= 1 3/4