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olganol [36]
2 years ago
10

Alex’s SUV gets an average of only 15 miles per gallon. Gas costs $2.19 per gallon. Write a rule that gives the cost of a trip C

when you know the number of miles d that Alex travels.
Mathematics
1 answer:
s2008m [1.1K]2 years ago
7 0

Answer:

(d miles)/(15 miles/gallon)*($2.19/gallon)

Step-by-step explanation:

Fuel efficiency = 15 miles/gallon.

Gas is $2.19/gallon.

Total cost is y.

miles is d

The equation that provides the total fuel for a trip in Alex's SUV would be:

Fuel for d miles (gallons) = (d miles)/(15 miles/gallon)

This is the total fuel required for a trip of d miles.  Multiply this times the cost per gallon to find the total ciost of the trip:

(d miles)/(15 miles/gallon)*($2.19/gallon) = Total cost for a trip of d miles.

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miss Akunina [59]

= ( 3x² + 3x + 5 ) ( 6x + 4 )

= 18x³ + 18x² + 30x + 12x² + 12x + 20

= 18x³ + 30x² + 42x + 20

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2 years ago
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Andre looks at a box of paper clips. He says: “I think the number of paper clips in the box is less than 1,000.” Lin also looks
d1i1m1o1n [39]

Answer:

<em>500 </em>\leq<em> </em><em>p </em>\leq<em> </em><em>1000</em>

Step-by-step explanation:

Since Andre if giving a rough estimate about how much paper clips are in the box, we will use the \leq (less than or equal to)

Your X value will be your actual number, the equation shows us that p is anywhere between 500 - 1000

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2 years ago
The sale rack at the department store said that an additional 30 percent discount would be taken on all items. If a dress
ryzh [129]

Answer:

$45.15

Step-by-step explanation:

Took both percents off, got it correct on the test.

4 0
3 years ago
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One canned orange juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in orde
Cerrena [4.2K]

Answer:

X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y  (3)

Replcaing equation (3) into equation (2) we got:

0.75(6.4 -0.2 Y) +0.95 Y = 18.4

And solving for Y we got:

4.8 -0.15 Y +0.95 Y = 18.4

0.8 Y = 13.6

Y = 17

And solving for X from equation (3) we got:

X= 6.4 -0.2*17 = 3

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

0.25 X + 0.05 Y = 20*0.08  (1)

And for the water we have:

0.75 X + 0.95Y = 20*0.92  (2)

If we solve for X from equation (1) we got:

X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y  (3)

Replcaing equation (3) into equation (2) we got:

0.75(6.4 -0.2 Y) +0.95 Y = 18.4

And solving for Y we got:

4.8 -0.15 Y +0.95 Y = 18.4

0.8 Y = 13.6

Y = 17

And solving for X from equation (3) we got:

X= 6.4 -0.2*17 = 3

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

7 0
3 years ago
Company XYZ has 34 employees in the Finance Department, 45 technicians, and 32 in the Engineering Department. The HR Department
Crank

Answer:

66.7%

Step-by-step explanation:

The total number of complaints were:

5 + 3 + 7 = 15

The percent that came from either technicians or the Finance Department is:

(5 + 3) / 15 × 100% = 66.7%

7 0
2 years ago
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