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horsena [70]
3 years ago
12

You are getting ready to make a 640-mile car trip. In general, your car can

Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

Answer:

<u><em>You will need to purchase 16 more gallons that cost $2.29 each for your final amount to be $36.64</em></u>

Step-by-step explanation:

You need to find how many miles you can get per gallon to use 160 miles on 5 gallons.

\frac{160}{5}  =  \frac{32}{1} .  Meaning your unit rate for this would be 32 miles for 1 gallon

You then need to find out how many gallons you will need if you're going to 640 miles and get 32 miles per gallon.

\frac{640}{32}  =  20

Meaning you will need 20 gallons.

Now since you already know how many gallon you have which is 4. Then you know how much you need, 20 - 4 = <u>16</u>

Then since they will be $2.29 each, multiply 2.29 by 16 to get <u>$36.64</u>

Meaning you will need to <u><em>16 gallons costing 2.29 each</em></u> and you will spend <u><em>$36.64 dollars on the trip</em></u>

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Megan has practiced the piano for 7.5 hours over the course of this week. She practices on Tuesdays, Thursdays, and Saturdays. H
gulaghasi [49]

Answer:

150

Step-by-step explanation:

you have three days and 7.5 so decide 7.5 by 3 it equals 2.5 which in minutes is 150

7 0
3 years ago
A 40-meter length of cable is cut into pieces that measure 1.25 meters each. Into how many pieces is the cable cut?
Alla [95]

Answer:

32

Step-by-step explanation:

40 / 1.25=32

3 0
4 years ago
Read 2 more answers
Need help desperately T~T
babunello [35]
As you can see, angle 5 and angle 6 are supplementary.  And angle 5 and angle 3 are congruent because they are alternate interior angles.  

So it will be
x+2 = 180- x+3 
                         move x over from the right to the left
2x+2 = 183
                         move 2 over from the left to the right
2x = 181
                          divide by 2
x= 90.5

and angle 3 and angle 1 are vertical angles so they are congruent.  Using the angle 3 formula to solve for the answer:

90.5+3 =93.5

When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
4 0
4 years ago
What is the median of the data set?
gizmo_the_mogwai [7]
7. because you would put the number set into order from least to greatest first, ti would look like this: 2,3,4,5,9,10,12,12. then go to the middle, crossing one from each side off at one time. Then you get 5 and 9 in the middle. Then the middle between 5 and 9 is seven, you can check this by: 5+9=14, then 14/2= 7.
Your median is 7.
6 0
3 years ago
What are the converse, inverse, and contrapositive of the following true conditional? What are the truth values of each?
ser-zykov [4K]
<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.

For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
As can be seen, the converse statement is not true, hence the truth value of the converse statement is false.
</span>
The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
</span>
The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
<span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the contrapositive is 'if a figure is not a parallelogram, then it is not a rectangle.'
As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>
4 0
4 years ago
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