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notka56 [123]
3 years ago
15

Solve by substitution the following problem please y=10.20x+2500

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

x=0.098039y−245.098039

Step-by-step explanation:

Let's solve for x.

y=10.2x+2500

Step 1: Flip the equation.

10.2x+2500=y

Step 2: Add -2500 to both sides.

10.2x+2500+−2500=y+−2500

10.2x=y−2500

Step 3: Divide both sides by 10.2.

10.2x

10.2

=

y−2500

10.2

x=0.098039y−245.098039

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Which numbers are the extremes of the proportion 3/4=6/8
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Answer:it’s 3 and 8

Step-by-step explanation:

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3 years ago
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John bought new headphones originally listed for $ 80.99 . They are \(35\%)| off. Which equation can be used to find the amount
Katarina [22]

Answer:

$28.35

Step-by-step explanation:

The headphones are $80.99 and are 35% off. To find the amount he will save, change the 35% to a decimal by moving it two times to the left, which is 0.35. Multiply 80.99 and 0.35 to get 28.3465. Round to get $28.35.

7 0
2 years ago
Renting a car costs $35.50 per day, plus 40¢ per mile. If a customer paid $131 for a 2-day rental, how many miles was the car dr
qwelly [4]

Subtract the fee from the total:

131- 35.50 = 95.50

Now divide that by the price per mile:

95.50/ 0.40 = 238.75

They drove 238.74 miles

6 0
2 years ago
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Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, a parallelogram, or none. List all that apply. Explain
svlad2 [7]

Answer:

  • ABCD is a rhombus, and a parallelogram

==================================

<h3>Given </h3>

  • Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)

First, plot the points (see attached picture).

Then, connect all the points.

<h3>We see that:</h3>

  • Opposite sides are parallel,
  • Diagonals are perpendicular.

From our observation the figure is rhombus.

Let's confirm it with the following.

1) Find midpoints of diagonals and compare.

  • AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
  • BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2

The midpoint of both diagonals is same (- 2, 2).

2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.

  • m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
  • m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3

  • m(AC) × m(BD) = 3/4 * (- 4/3) = - 1

<u>Confirmed.</u>

So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.

5 0
11 months ago
4. A store had 86 DVDs and 52 CDs. When the equal number of DVDs and CDs were sold,
11Alexandr11 [23.1K]

Answer:

51 DVDs

Step-by-step explanation:

Let the number of DVDs and CDs sold be x each.

<u>Initial</u>

Number of DVDs= 86

Number of CDs= 52

<u>After selling</u>

Number of DVDs= 86 -x

Number of CDs= 52 -x

Given that there are 3 times as many DVDs than CDs left,

86 -x= 3(52 -x)

<em>Expand:</em>

86 -x= 156 -3x

<em>Bring x terms to 1 side, constant to the other:</em>

3x -x= 156 -86

<em>Simplify:</em>

2x= 70

<em>Divide both sides by 2:</em>

x= 35

Amount of DVDs left

= 86 -x

= 86 -35

= 51

3 0
3 years ago
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