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alexandr1967 [171]
3 years ago
14

Gas costs $6 per gallon and diesel costs $8 per gallon. You have at most $85 to spend on fuel. You must purchase at least 12 gal

lons of gas for your car to run for the week. Let x be the amount of gas purchased and y be the amount of diesel purchased. Which of the following is a possible solution?

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

Answer:

(12,1.625)

Step-by-step explanation:

According to the given statement:

Cost of gas per gallon = $6

Cost of diesel per gallon = $8

Cost of x gallon gas  = 6x

Cost of y gallon diesel = 8y

You have at most $85 to spend on fuel

Therefore the equation we get is:

6x+8y≤85

You must purchase at least 12 gallons of gas for your car

x≥12

Plot the graph and you get possible solutions:

(12,1.625)..

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Answer:

$1.20

Step-by-step explanation:

9.20 x 4 = 36.8

7.60 x 5 = 38

38 - 36.8 = 1.20

8 0
2 years ago
Read 2 more answers
Murphy loves pistachio nuts. Every saturday morning, she walks to the market and buy some. Last week, she bought two pounds and
Alexxx [7]

Question is Incomplete, Complete question is given below,

Murphy loves pistachio nuts. Every Saturday morning, she walks to the market and buys some. Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What the unit rate for pistachio nuts?

Answer:

The unit rate for pistachio nuts is $3.98.

Step-by-step explanation:

Given;

Price of 2 pounds of pistachio nuts = $7.96

We need to find the price of 1 pound of pistachio nuts.

To find the same we will use the unitary method,

Hence ,

Price of 1 pound of pistachio nuts = \frac{\$7.96}{2} = \$3.98

Also given:

Price of half pound of pistachio nuts = $1.99

We need to find the price of 1 pound of pistachio nuts.

To find the same we will use the unitary method,

Hence ,

Price of 1 pound of pistachio nuts = \$1.99\times 2 = \$3.98

Hence, The unit rate for pistachio nuts is $3.98

3 0
3 years ago
At a given time of the day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 3
Lubov Fominskaja [6]

Answer:

20.3 ft

Step-by-step explanation:

The object-shadow ratio for the stick= 3÷1.5=2:1

The object-shadow ratio is same for all objects.

Let height of the tree be x

2/1 = x/10.15

x=10.15 * 2=20.3

4 0
3 years ago
Felicia used 153 Yellow beads and some green beads for her art project. She used 9 times as many Yellow beads as green beads. Ho
Vlada [557]

Answer:

17

Step-by-step explanation:

To find the number of green beads that Felicia used, we first need to list out what we know.

Let x = number of green beads.

Yellow Beads = 153

So we get:

x*9 = 153

We divide both sides by nine to find the value of x.

\dfrac{x*9}{9}=\dfrac{153}{9}

x = 17

To see if we got the answer correct, let's substitute x.

x * 9 = 153

17 * 9 = 153

153 = 153

7 0
3 years ago
How to make this a simultaneous equation?
andriy [413]
Hello,

I suppose equations are:

x+y=3 (1)
x+2y=9 (2)

(2)-(1)==>y=6
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Sol={(-3,6)}



7 0
3 years ago
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