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Evgesh-ka [11]
3 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]3 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]3 years ago
8 0

Answer:

c

Step-by-step explanation:

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In health class, students record the weights of the sandwiches they have for lunch. The weights are shown in the line plot below
Dvinal [7]
To find the average weight, you need to add all of the numbers and then divide them
I'll start off by doing this:
1/8+1/8 = 2/8
1/4+1/4+1/4+1/4 = 1
3/8+3/8 = 6/8
1/2+1/2 = 1
then I'll add them together:
2/8+6/8 = 1
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now we need to divide the amount of numbers. the amount of sandwiches weighted (10) will have to be divided
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4 0
3 years ago
A shirt company has 3 designs each of which can be made with short or long sleeves . There are 7 color patterns available. How m
Arlecino [84]

Answer:

There are 42 different types of shirt available for this company.

Step-by-step explanation:

Given:

Number of design Company has = 3

Number of color pattern available = 7

Types of shirt (short or long sleeves) = 2

We need to find the number of different types of shirts are available from this company.

Solution:

the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).

framing in equation form we get;

the number of different types of shirts 3\times7\times2 =42

Hence There are 42 different types of shirt available for this company.

5 0
3 years ago
Billie Holiday sells children's clothing for Sara Vaughn's Toddler Shop. Baby blankets sell for $29.99 after a markup rate based
Mariulka [41]

Answer:

Cost: $14.349

Markup: $15.649

Step-by-step explanation:

1. Rewrite the percent as decimal. Divide it by 100, as following:

 109/100=1.09

3. Now, knowing that Baby blankets sell for $29.99 after a markup rate based on cost of 109%, you can write the following expresion:

x+1.09x=29.99

Where x is the cost.

 4. You must solve for x, then, you obtain:

2.09x=29.99\\x=\frac{29.99}{2.09}\\x=14.349

5. The markup is:

M=29.99-14.349=15.649

6 0
3 years ago
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Rasek [7]
Let William be x years old.

Thomas = (4 + x) years

In five years,

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Thomas = 4 + x + 5 = (9 + x) years

Given, in five years sum of their ages is 24.

x + 5 + 9 + x = 24

2x + 14 = 24

2x = 24 - 14 

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x = \frac{10}{2}

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Hence, William is 5 years old and Thomas is 9 years old.
5 0
3 years ago
What is 5.9 as a mixed number and a improper fraction?
denis23 [38]

Answer:

Improper Fraction- 5.9= 59/10

Mixed number-  5 9/10

Step-by-step explanation:

7 0
3 years ago
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