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baherus [9]
2 years ago
13

Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartF

raction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 3) = StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 4). Her work is correct and is shown below. StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 3) = StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 4) 4x – 2 = 3x – 2 When she adds 2 to both sides, the equation 4x = 3x results. Which is the best interpretation of this equation?
Mathematics
2 answers:
mixas84 [53]2 years ago
8 0

Answer:

<h3>The best interpretation of this equation 4x=3x is that the equation has no solution</h3>

Step-by-step explanation:

Given that Kate begins solving the equation

\frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)

<h3>To find the best interpretation of the given equation :</h3><h3>Katie's steps are</h3>
  • \frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)
  • \frac{2}{3}(3(2x-1))=\frac{1}{2}((2(3x-4))
  • 2(2x-1)=1(3x-2)
  • 2(2x)+2(-1)=1(3x)+1(-2)
  • 4x-2=3x-2

When she adds 2 to both sides, the equation becomes

  • 4x-2+2=3x-2+2
  • 4x=3x

Therefore 4\neq 3

<h3>Therefore the given equation has no solution </h3><h3>The best interpretation of this equation 4x=3x is that the equation has no solution.</h3><h3>Therefore the option no solution is correct</h3>
Zinaida [17]2 years ago
5 0

Answer:

The equation has one solution: x = 0

Step-by-step explanation:

took the quiz

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The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t
klio [65]
<h3>The projected amount the average American spent on health care in 2014  is $ 10075.91</h3>

<em><u>Solution:</u></em>

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

r = 5.8 \% = \frac{5.8}{100} = 0.058

t = 2011 to 2014 = 3 years

<em><u>Substituting the values, we get,</u></em>

y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91

Thus the projected amount the average American spent on health care in 2014  is $ 10075.91

4 0
3 years ago
Just 4 people who need helppp
Arturiano [62]

Answer:

1/2 ÷ 4 = 8

Step-by-step explanation:

Dividing fractions is as easy as pie. Flip the second and multiply.

1/2 ÷ 4 = 1/8

A whole number secretly has a 1 underneath, like this: 4/1

Flip the second number over to get 1/4, then multiply straight across.

\frac{1}{2} × \frac{1}{4} = \frac{1}{8}

Try to do the same for the other answers and see if they're right (they're not).

1/8 x 1/6 = 1/48

1/3 x 1/4 = 1/12

1/9 x 1/2 = 1/18

4 0
2 years ago
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Marni danced in a contest to raise money for an animal shelter. Marni raised $30 plus $1.80 per minute that she danced. She rais
Agata [3.3K]

Answer:

130 minutes

Step-by-step explanation:

Expression:

y = 1.80x + 30

264 = 1.80x + 30

234 = 1.8x

324/1.8 = x

130 = x

Ya Boy danced for 2 hours

7 0
2 years ago
Mr. Scott uses an 8 GB flash drive to store his files for his classroom. His principal buys him a new 64 GB flash drive. What is
katovenus [111]

Answer:

12.5%

Step-by-step explanation:

8 / 64*100 =

(8 * 100) / 64 =

800 / 64 = 12.5

Hope this helped buddy! :D

4 0
3 years ago
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Doss [256]

Answer:

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Step-by-step explanation:

a^2 = 25^2 - 7^2 = 576

-> a = 24

volume = 7 * 4 * 24 = 672 m 3

7 0
3 years ago
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