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2 years ago

A train goes at a constant speed. If it covers 150 miles in 2/1 2 hours,

Mathematics

1 answer:

riadik2000 [5.3K]2 years ago

3 0

Answer:

x =4.5 hours

Step-by-step explanation:

We can use ratios to solve

150 miles 270 miles

--------------- = --------------

2.5 hours x miles

150 *x = 270*2.5

Divide each side by 150

150x/150 = 270*2.5/150

x =4.5 hours

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A rose bush started out at 6 inches it grew to l5 inches after a month what is the percent of change

scoray [572]

259% increase because 6 x 2 is 12 and 3 is the remainder and 3/6 is 50%

3 0

3 years ago

If you add 21 to my number and then multiply the result by 3, you will get 84 more than two-thirds of my number. Find my number.

Ksivusya [100]

Based on the calculations, the unknown number is equal to $\frac{-45}{7}$

Let the unknown number be x.

<h3>How to find an unknown number:</h3>

Translate the word problem into an algebraic expression, we have;

Adding 21 to the unknown number:

$21 +x$

Multiplying the result by 3:

$3\times (21+x)$

84 more than two-thirds of the unknown number:

$\frac{2x}{3} +84$

Equating the equations, we have:

$3\times (21+x) = \frac{2x}{3} +84\\\\43+3x=\frac{2x}{3} +84$

Cross-multiplying, we have:

$43+3x=\frac{2x}{3} +84\\\\129+9x=2x+84\\\\9x-2x=84-129\\\\7x=-45\\\\x=\frac{-45}{7}$

Read more on word problems here: brainly.com/question/13170908

5 0

2 years ago

Two angles of a triangle measure 22 and 53 what is the measure of the third angle

Musya8 [376]

The third angle is 105.
How do I know this?
Add 22 and 53:
22 + 53 = 75
All interior angles on a triangle should add up to 180.
Subtract 75 from 180:
180 - 75 = 105
105 is our answer.
Hope this helps! =)

3 0

3 years ago

Solve for x. 5 x − 19 ≤ 1 OR − 4 x + 3 < − 6

k0ka [10]

$5x - 19 \leqslant 1$

change

$\leqslant \: to \: =$

given you

$5x - 19 = 1$

making x the subject by transferring the -19 to the right hand side of the equation

$5x = 19 + 1$

$5x = 20$

dividing through by 5

$\frac{5x}{5} = \frac{20}{5}$

$x = 4$

{ ${x:x \leqslant 4}$ }

also given

$- 4x + 3 < - 6$

change the operation sign to =

$- 4x + 3 = - 6$

$- 4x = - 6 - 3$

$- 4x = - 9$

dividing through by -4

$\frac{ - 4x}{ - 4} = \frac{ - 9}{ - 4}$

$x = \frac{9}{4}$

so the truth set is

{x:x>9/4}.

The < sign changes to > because we divided by a negative number when solving for x

4 0

3 years ago

93 27 14 what is next in the sequence?

Assoli18 [71]

Answer:

Step-by-step explanation:

9×3=27

2×7=14

1×4=4

nice logic

6 0

3 years ago