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malfutka [58]
3 years ago
13

Mary Beth would like to buy a more fuel-efficient vehicle instead of driving her mom's gas-guzzler. Assuming she can find a car

that gets 32 miles per gallon (mpg) and her mom's car gets only 16 mpg, how much will she save if she usually drives about 3,000 miles a year and average price of gas is $3.75 a gallon?
Mathematics
1 answer:
ozzi3 years ago
8 0

Answer:

2x as much

Step-by-step explanation:

First write as an equation:

<u>3000/32*3.75 =</u>

3000/16*3.75

Then that equals:

0.5

So that means her mom's car would be half as efficent as the new one

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a spool holds 6.75 meters and a craft club buys 21 spools. what is the total cost if the ribbons costs 2 dollars per meter?
Burka [1]
● To do this, you need to multiply 6.75 by 21 to find out how many meters are in all. 6.75×21 is 141.75

● Next you multiply 141.75 by 2 to see how much it costs which is 283.5

● Since we're dealing with money, it would have two place values so we add a zero and we get $283.50
3 0
3 years ago
The sides of a triangle are 1, x, and x2. what are possible values of x?
Whitepunk [10]
The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a):  x < 1,
      Then in decreasing size, the lengths are 1, x, and x².
      We require that x² + x ≥ 1
      Solve x² + x - 1 = 
      x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
      Reject the negative length.
     Therefore, the lengths are 0.382, 0.618 and 1.

Case (b): x = 1
   This creates an equilateral triangle with equal sides
    The sides are 1, 1 and 1.

Case (c): x>1
  In increasing order, the lengths are 1, x, and x².
  We require that x + 1 ≥ x²
  Solve x² - x - 1 = 0
  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

7 0
3 years ago
2 5 ÷ 6 7 Give your answer as a fraction in its simplest form.
Bas_tet [7]

Answer:

2.68

Step-by-step explanation:

25/67 = 2.68

3 0
2 years ago
Work out the surface area of this solid prism.
alexandr1967 [171]

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

5 0
3 years ago
25 is what percent of 64
Flauer [41]
Make a proportion to find the percent:
25/64 = x/100
Multiply 25 and 100, then divide that answer by 64. Then add a percent symbol.

25*100 =2500
2500/64 = 39.0625
39.0625%
7 0
3 years ago
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