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OLEGan [10]
1 year ago
9

Alyssa wants to know the gas mileage of her new car. She kept track of the number of miles she traveled and the number of gallon

s she used. Which method and reasoning can Alyssa use to calculate the gas mileage in miles per gallon?
Miles Traveled : 243.8
Gallons Used : 7.71

A. 243.8 miles × 7.71 gallons
because multiplying a quantity with units of miles by a quantity with units of gallons gives a quantity with units of miles per gallon.

B. 243.8 miles - 7.71 gallons
because subtracting a quantity with units of gallons from a quantity with units of miles gives a quantity with units of miles per gallon.

C. 7.71 gallons ÷ 243.8 miles
because dividing a quantity with units of gallons by a quantity with units of miles gives a quantity with units of miles per gallon.

D. 243.8 miles ÷ 7.71 gallons
because dividing a quantity with units of miles by a quantity with units of gallons gives a quantity with units of miles per gallon.
Mathematics
1 answer:
Anna [14]1 year ago
3 0

Answer:

D


Step-by-step explanation:

Since Alyssa wants to know her gas mileage, which is MILES PER GALLON, she will need to divide total miles by total gallons.

"per gallon" means per 1 unit of gallon, which we will get ONLY IF WE DIVIDE by TOTAL NUMBER OF GALLONS, hence we get "per unit of gallon".

<u>So we need to divide 243.8 miles by 7.71 gallons to get Alyssa's gas mileage.</u>

Answer choice D is right.

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The coordinates of the vertices of quadrilateral ABCD are A(−6, 3) , B(−1, 5) , C(3, 1) , and D(−2, −2) . Which statement correc
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Answer:

C.Quadrilateral ABCD is not a rhombus because there are no pairs of parallel sides.

Complete question:

A. Quadrilateral ABCD is not a rhombus because opposite sides are parallel but the four sides do not all have the same length.

B. Quadrilateral ABCD is a rhombus because opposite sides are parallel and all four sides have the same length.

C. Quadrilateral ABCD is not a rhombus because there are no pairs of parallel sides.

D. Quadrilateral ABCD is not a rhombus because there is only one pair of opposite sides that are parallel.

Step-by-step explanation:

Rhombus states that a parallelogram with four equal sides and sometimes one with no right angle.

Given: The coordinate of the vertices of quadrilateral ABCD are A(−6, 3) , B(−1, 5) , C(3, 1) , and D(−2, −2) .

The condition for the segment (x_{1},y_{1}), (x_{2},y_{2})  to be parallel to (x_{3},y_{3}),  (x_{4},y_{4}) is matching slopes;

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{y_{4}-y_{3}}{x_{4}-x_{3}} \\(y_{2}-y_{1}) \cdot (x_{4}-x_{3}) =(y_{4}-y_{3}) \cdot (x_{2}-x_{1})---->1

So, we have to check that AB || CD and AD || BC

First check AB || CD

A(−6, 3) , B(−1, 5) , C(3, 1) , and D(−2, −2)

substitute in [1],

(5-3) \cdot (-2-3) = (-2-1) \cdot (-1-(-6))2 \cdot -5 = -3 \cdot 5

-10 ≠ -15

Similarly,

check AD || BC

A(−6, 3) , D(−2, −2) , B(−1, 5) and C(3, 1)

Substitute in [1], we have

(-2-3) \cdot (3-(-1)) = (1-5) \cdot (-2-(-6))-5 \cdot 4 = -4 \cdot 4

-20 ≠ -16.

Both pairs of sides are not parallel,

therefore, Quadrilateral ABCD is not a rhombus because there are no pairs of parallel sides.

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What is a requirement of adjacent angles?
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Answer:

Step-by-step explanation:

Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

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2 years ago
Find the value of the combination. From a committee consisting of 8 men and 5 women, a subcommittee is formed consisting of 4 me
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Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
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Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
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Each different group of 70 men can be joined by any of the 10 groups
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7 0
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Answer:

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