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3 years ago

What is the correct solution to 1/2(x+18)=4(2x-6)-9x

Mathematics

1 answer:

denis-greek [22]3 years ago

4 0

Answer:

x = 22

Step-by-step explanation:

I interpreted your problem as:

$\frac{1}{2} (x+18) = 4(2x-6)-9x$

I simplified the problem to:

$\frac{1}{2} x+9 = 8x-24-9x$

I combined like terms:

$\frac{1}{2} x+9 = -x-24$

I moved all x to one side and all other constants to the other:

$\frac{3}{2} x = -33$

I divided by 3/2 (1.5) on both sides to isolate x:

$x = 22$

Hope it helps! (:

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Five children have heights of 138cm, 135cm, 140cm, 139cm, and 141cm.

Bess [88]

Answer:

6 cm

Step-by-step explanation:

To find the range take the largest number and subtract the smallest number

The largest number is 141 and the smallest number is 135

141 - 135 = 6 cm

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3 years ago

Which fractions are equivalent to 10/12? Select each correct answer. 2/3 5/6 12/24 30/36 50/60 60/84

Yuri [45]

Answer:

[See Below]

Step-by-step explanation:

✦ Turn into decimals:

$\frac{10}{12}=0.83$

$\frac{2}{3} =0.67$

$\frac{5}{6} =0.83$

$\frac{12}{24} =0.5$

$\frac{30}{36} =0.83$

$\frac{50}{60} =0.83$

$\frac{60}{84} =0.71$

So $\frac{10}{12}$ ≈ $\frac{5}{6},\frac{30}{36},and,\frac{50}{60}$ .

~Hope this helps Mate. If you need anything feel free to message me.

4 0

3 years ago

A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materi

valentina_108 [34]

Answer:

N(x) = 40 - 2x

P(x) = -2x² + 52 x - 240

maximum profit = 13

Step-by-step explanation:

given data

feeder cost = $6

average sell = 20 per week

price = $10 each

solution

we consider here price per feeder = x

and profit per feeder id here formula = x - 6

so that here

total profit will be

P (x) = ( x - 6 ) Nx

here N(x) is number of feeders sold at price = x

so formula for N (x) is here

N(x) = 20 - 2 ( x - 10 )

N(x) = 40 - 2x

so that

P(x) = (x-6) ( 40 - 2x)

P(x) = -2x² + 52 x - 240

since here

a = -2

b = 52

c = -240

a < 0

so quadratic function have maximum value of c - $\frac{b^2}{4a}$

so it will be

maximum value = -240 - $\frac{52^2}{4(-2)}$

maximum value = 98

so here maximum profit attained at

x = $\frac{-b}{2a}$

x = $\frac{-52}{2(-2)}$

x = 13

maximum profit = 13

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4 years ago

Line segment AB has a length of 4 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A'B'

JulijaS [17]

4 units, because a translation is a rigid motion, meaning it preserves segment length.

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