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2 years ago

How do I solve 24(x-1) = -6(4-x)+18

Mathematics

2 answers:

podryga [215]2 years ago

8 0

So the right answer is 1.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

~pragya

Agata [3.3K]2 years ago

3 0

Answer:

$x = 1$

Step-by-step explanation:

$24(x - 1) = - 6(4x - x) + 18 \\ 24x - 24 = - 24x + 6x + 18 \\ 24x + 24x -6 x = 24 + 18 \\ 42x = 42 \\ \frac{42x}{42} = \frac{42}{42} \\ x = 1$ hope this helps

brainliest appreciated

good luck! have a nice day!

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Which of the following is NOT equivalent to 40/100?

frozen [14]

Answer:

Option C

Step-by-step explanation:

40/10 simplifies to 4.

40/100 simplifies to 0.40.

$\frac{40/10}{10/10} =\frac{4}{1} =4$

$\frac{40}{100} =0.40$

Therefore:

$\frac{40}{10}\neq \frac{40}{100}$

Option C should the the correct answer.

8 0

2 years ago

the height of a triangle is 7cm longer than its base. The area of the triangle is 60cm^2 What is the base of the triangle.

OlgaM077 [116]

Triangle area = (1/2) base * height
60 = 3.5 * base
base = 60 / 3.5
base = 17.1428571429

8 0

2 years ago

There are many regulations for catching lobsters off the coast of New England including required permits, allowable gear, and si

Georgia [21]

Answer:

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

Step-by-step explanation:

Given - There are many regulations for catching lobsters off the coast

of New England including required permits, allowable gear, and

size prohibitions. The Massachusetts Division of Marine Fisheries

requires a minimum carapace length measured from a rear eye

socket to the center line of the body shell. For a particular local

municipality, any lobster measuring less than 3.37 inches must

be returned to the ocean. The mean carapace length of the

lobsters is 4.01 inches with a standard deviation of 2.13 inches.

A random sample of 60 lobsters is obtained.

To find - What is the probability that the sample mean carapace length

is more than 4.25 inches?

Proof -

Given that, μ = 4.01, σ = 2.13 , n = 60

Now,

μₓ⁻ = σ / √n

= $\frac{2.13}{\sqrt{60} }$

= $\frac{2.13}{7.746}$ = 0.275

⇒μₓ⁻ = 0.275

Now,

P(X⁻ > 3.37) = 1 - P( X⁻ < 3.37)

= 1 - P(z < $\frac{3.37 - 4.25}{0.275}$ )

= 1 - P( z < -3.2 )

= 1 - 0.0007

= 0.9993

⇒P(X⁻ > 3.37) = 0.9993

∴ we get

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

6 0

2 years ago

2x + 6y= 8 4x + 12y = 16

Korolek [52]

Answer:

x=0 , y=0

Step-by-step explanation:

2x +6y= 8 .....eqn 1

4x +12y= 16....eqn2

we multiply eqn 1 by 2.. because we want at least one variable to have the same coefficient so we can simply.

2x +6y =8... ×2

will give you 4x +12y = 16....eqn 3

so now we subtract eqn 2 from eqn 3

4x + 12y= 16

- 4x + 12y = 16

_____________

0 + 0 = 0

therefore x = 0 and y= 0

3 0

2 years ago

At the time of her grandson's birth, a grandmother deposits 11,000 in an account that pays 5.5% compounded monthly. What will be

Brilliant_brown [7]

Answer:15,605

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7 0

2 years ago