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alexandr402 [8]
2 years ago
15

Solve for x.

Mathematics
1 answer:
Ivanshal [37]2 years ago
8 0

Answer:

x = -3.25

Step-by-step explanation:

2/5 = 0.4

0.4x - 0.2 = -2(3/4)

-2(3/4) = -2/1 * 3/4 = -6/4

0.4x - 0.2 = -6/4

Convert to fraction

2/5x - 1/5 = -6/4

Add 1/5 to both sides

-6/4 + 1/5 = -30/20 + 4/20 = -26/20

2/5x = -26/20

Convert to decimal

0.4x = -1.3

-1.3/0.4 = -3.25

x = -3.25

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shusha [124]

Answer:

∴ Eli worked for 8 hours and Claire worked for 9 hours

Step-by-step explanation:

Let us form the two equations then graph them

∵ Eli worked for x hours

∵ Claire worked for y hours

∵ Eli and Claire worked a combined 17 hours

∴ x + y = 17 ⇒ (1)

∵ Eli can iron 15 shirts per hour

∵ Claire can iron 20 shirts per hour

∵ They ironed 300 shirts together in 17 hours

→ Multiply x by 15 and y by 20, then add the products and equate their

   sum by 300

∴ 15x + 20 y = 300 ⇒ (2)

Now let us find 2 points in each equation and draw the two lines which represent the two equations

→ In equation 1, put x = 0

∵ x = 0

∵ 0 + y = 17

∴ y = 17

∴ The first point is (0, 17)

→ Put y = 0 and find x

∵ y = 0

∴ x + 0 = 17

∴ x = 17

∴ The second point is (17, 0)

→ In equation 2, put x = 0

∵ x = 0

∵ 0 + 20y = 300

∴ 20y = 300

→ Divide both sides by 20

∴ y = 15

∴ The first point is (0, 15)

→ Put y = 0 and find x

∵ y = 0

∴ 15x + 0 = 300

→ Divide both sides by 15

∴ x = 20

∴ The second point is (20, 0)

Draw the first line using points (0, 17) and (17, 0)

Draw the second line using points (0, 15) and (20, 0)

The graph is attached down

From the graph

The red line represents equation (1)

The blue line represents equation (2)

The two lines intersected at point (8, 9) which is the solution of the system of equations

∴ The solution of the two equations is (8, 9)

∴ Eli worked for 8 hours and Claire worked for 9 hours

8 0
2 years ago
Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
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Answer:

She will walk and run 148.2 miles in a year

Step-by-step explanation:

She walks: 0.75+0.5=1.25 miles each week

And: 1.25 *52=65 miles a year

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And: 1.6*52 =83.2 miles a year

Total miles : 83.2+65=148.2 miles

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3 years ago
Help 30 points!!! Sandra is graphing t=2(s+2) by plotting points. What will the graph of the equation be?
Lorico [155]

The answer is c i hope this help you out.

4 0
3 years ago
Todd earned some money doing chores. He spent one-fourth of his money see a movie. Then he spent $6.00 on popcorn and drinks. Wh
Vsevolod [243]

Answer: Todd earned $40 mowing the neighbor's lawn.

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Cross multiplying by 4, it becomes

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Which equation represents line shown in the accompanying<br> diagram?
Sergeu [11.5K]
I am pretty sure it’s c because you go up 4 and over 3 to the right so that would be plus 3
5 0
3 years ago
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