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Evgesh-ka [11]
2 years ago
13

Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas

station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y?
Mathematics
2 answers:
Paraphin [41]2 years ago
8 0

Answer:  3.50x + 4.00y ≤ 45

                0 < y < 11.25

<u>Step-by-step explanation:</u>

3.50x + 4.00y \leq 45\\\\\\\text{Subtract 3.50x from both sides:}\\4.00y\leq -3.50x+45\\\\\\\text{Divide everything by 4.00 (to isolate y):}\\\dfrac{4.00y}{4.00}\leq \dfrac{-3.50x}{4.00}+\dfrac{45}{4.00}\\\\\\y\leq-0.875x+11.25\\\\\\\text{Both x and y must be greater than zero, so:}\\0

Naddik [55]2 years ago
8 0

Answer:

c

Step-by-step explanation:

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Sue takes 5 more cookies than her friend Jill. If sue puts 1 cookie back, how many does she have ?
Art [367]

Answer:

4

Step-by-step explanation:

5-1=4

6 0
2 years ago
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For the second quarter of 2015, Apple sold 61.0 million iPhones. This represented a year- over-year increase of 40%. What were t
Anastaziya [24]

Answer:

It sold 43.57 iPhones for the same quarter in the previous year.

Step-by-step explanation:

It sold 61.0 million iPhone, which is an increase of 40% over the value of the previous year x.

This can be interpreted as:

61 million is 140% = 1.4 of the previous year amount, that is, x. So

1.4x = 61

x = \frac{61}{1.4}

x = 43.57

It sold 43.57 iPhones for the same quarter in the previous year.

4 0
2 years ago
Clark reaches into a bag with 6 brown crayons, 3 green crayons, and 4 blue crayons. He pulls out one crayon. Which color crayon
GuDViN [60]

Answer:

he would have a 6/13 chance for brown, 3/12 chance for green, and a 4/12 chance for blue

Step-by-step explanation:

7 0
3 years ago
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Help meeee!! I’ll give brainliest!!!
dimulka [17.4K]

Answer:

x = 9

y = 13

Step-by-step explanation:

Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).

Therefore, GH = PM  ⇒  7x + 8 = 6y - 7

and,            GP = HM  ⇒  8x - 10 = 5y - 3

Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:

         GH = PM  

⇒  7x + 8 = 6y - 7

⇒        7x = 6y - 15

⇒           x = (6/7)y - 15/7

Substituting  x = (6/7)y - 15/7  into GP = HM:

                              GP = HM  

⇒                      8x - 10 = 5y - 3

⇒  8[(6/7)y - 15/7] - 10 = 5y - 3

⇒  (48/7)y - 120/7 - 10 = 5y - 3

⇒                      (13/7)y = 169/7

⇒                               y = 13

Now we have found a value for y, substitute this into one of the expressions and solve for x:

    8x - 10 = 5y - 3

⇒  8x - 10 = (5 x 13) - 3

⇒  8x - 10 = 62

⇒          8x = 72

⇒            x = 9

3 0
1 year ago
Today is Kate's birthday. She has 3/4 of a cake. She wants to cut the cake into 1/12 sized pieces. How many slices of cake will
mart [117]
<h2>What we know</h2>

We know that Kate has 3/4 of a cake. She wants to cut the cake into 1/12 sized pieces.

<h2>What we need to know</h2>

We need to know how many slices of cake will she have?

<h2>Show your work</h2>

If Kate wants to cut 3/4 of her cake into 1/12 sized pieces, that would mean 1/4 of the whole cake is 12/12. If there are 3 of the 1/4 slices, then we would need to find out how much that is in twelfths by multiplying:

12 x 4 = 48

36/48 is equal to 3/4. If she is having 3/4, she is having 36 slices.

<h2>Check your work</h2>

To check our work we divide:

48 ÷ 12 = 4

<h2>Answer</h2>

Kate will have 36 slices of cake.

#LearnWithBrainly

<u>brainly.com/question/21087460</u>

6 0
2 years ago
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