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iragen [17]
3 years ago
10

Linda must calculate the cost of filling's her car's 12-gallon gas tank. She calculates the difference between how much gasoline

her gas tank will hold and the number of gallons of gas, g, already in the tank. Then she multiplies the difference by the price, p, of one gallon of gas. What expression does Linda use to calculate the cost to fill her gas tank?
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0
I think
the answer would be: p (12-g)
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16 (LCM)=ab3584=ab
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100 POINTS AND BRAINLIYEST!!!
Helga [31]

See explanations below

Step-by-step explanation:

Chanel

(i) 90° counterclockwise and then dilation by a factor of 1/2

Trapezoid PQRS is given as :

P(6,-4) -------P'(4,6)

Q(2,-2)------Q'(2,2)

R(2,-6)-------R'(6,2)

S(6,-6)-------S'(6,6)

The transformation switches the position of (x,y) to and adds a -ve sign to the original y value

B. The new coordinates are : P'(4,6), Q'(2,2),R'(6,2) and S'(6,6)

The  rule for rotation 90° counterclockwise about the origin is (x,y)⇒(-y,x)

The rule for dilation with scale factor of 1/2 is (x,y)------(1/2x,1/2y)

P'(4,6) -----P''(2,3)

Q'(2,2)-----Q''(1,1)

R'(6,2)-----R''(3,1)

S'( 6,6)-----S''(3,3)

The dilation reduces the coordinates by 1/2

Preston

E. (i)Reflection over x-axis where the rule is : (x,y)----(x,-y)

(ii)Dilation by scale factor of 1/2 the rule is : (x,y)---(1/2x, 1/2y)

Applying reflection over x-axis rule;

P(6,-4) -----P'(6,4)

Q(2,-2)-----Q'(2,2)

R(2,-6)------R'(2,6)

S(6,-6)------S'(6,6)

The coordinates have changed in that a negative sign is added to the y-axis coordinate.

F. P'(6,4), Q'(2,2), R'(2,6) and S'(6,6)

G. Applying the dilation by scale factor of 1/2

P'(6,4)-------P''(3,2)

Q'(2,2)------Q''(1,1)

R'(2,6)------R''(1,3)

S'(6,6)------S''(3,3)

The coordinates of P'Q'R'S are divide by 2 to give coordinates of P''Q''R''S''

Comparing the answers to the final figure given

K(3,2)

L(1,1)

M(1,3)

N(3,3)

Preston is correct because his sequence proves trapezoid PQRS is similar to trapezoid KLMN.

Learn More

Reflection and dilation :brainly.com/question/13408902

Keywords :trapezoid, maps, rotate, counterclockwise, dilate,reflect,scale factor,shape, coordinate

#LearnwithBrainly

4 0
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Lisa lit a candle with a height of 8 inches. When lit, this candle loses 10% of its original
Ivanshal [37]

Answer:

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Step-by-step explanation:

<em>Question</em>

  • <em>Lisa lit a candle with a height of 8 inches. When lit, this candle loses 10% of its original  height every hour. </em>
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<u>Candle looses 10% of 8 inches, it equals:</u>

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<u>Let x be required time, then:</u>

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The Century club runs the concession stand during football games. They sell snacks and drinks. 50 snacks and 180 drinks will sel
katrin2010 [14]

Answer:

The cost of each drink is $1.5

Step-by-step explanation:

Let us represent

The cost of snacks = x

The cost of drinks = y

50 snacks and 180 drinks will sell for $320

Hence:

50x + 180y = 320....... Equation 1

75 snacks and 100 drinks will sell for $225.

Hence:

75x + 100y = 225....... Equation 2

Combining both Equations together

50x + 180y = 320....... Equation 1

75x + 100y = 225....... Equation 2

Multiply Equation 1 by 75 and Equation 2 by 50 to eliminate x

3750x + 13500y = 24000..... Equation 3

3750x + 5000y = 11250....... Equation 4

Subtract Equation 4 from Equation 3

8500y = 12750

y = 12750/8500

y = $1.5

Therefore, the cost of each drink is $1.5

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Katarina [22]

Answer:

perimeter is the length of the outline of a shape.

he circumference is the perimeter of a circle or ellipse.

Step-by-step explanation:

3 0
3 years ago
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