All categories

3 years ago

NEED RN, WORTH 20! What is the value of x?

Mathematics

1 answer:

max2010maxim [7]3 years ago

5 0

Answer:

$x = 5.625$

Step-by-step explanation:

Step 1: Make an expression

$\frac{3}{4} = \frac{x}{7.5}$

Step 2: Cross Multiply

$\frac{3}{4} = \frac{x}{7.5}$

$4 * x = 7.5 * 3$

$4x = 22.5$

Step 3: Divide both sides by 4

$4x / 4 = 22.5 / 4$

$x = 5.625$

Answer: $x = 5.625$

You might be interested in

7. There are approximately 1.2 x 108 households

Vikentia [17]

Answer:

the answer would be 35

Step-by-step explanation:

8 0

3 years ago

An Air Force plane flew to the

Free_Kalibri [48]

Answer:

5 hours

Step-by-step explanation:

Time taken for trip : t + 1

Time taken for return : t

Avg. speed (trip) : 256 km/h

Avg. speed (return) : 320 km/h

The distances covered on both trips are equal.

⇒ Distance (trip) = Distance (return)

⇒ Speed (trip) × time (trip) = Speed (return) × time (return)

⇒ (256)(t + 1) = (320)(t)

⇒ 256t + 256 = 320t

⇒ 64t = 256

⇒ t = 4 hours

Time (trip) = t + 1 = 4 + 1 = 5 hours

4 0

2 years ago

Solve the inequality: n - 7 > -4

ollegr [7]

Answer:

n-7>-4

n-7+7>-4+7

n>-4+7

n>3

3 0

3 years ago

Please help me solve for x =

Sladkaya [172]

Answer:

x = 13

Step-by-step explanation:

Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:

$\frac{ML}{NM} = \frac{ST}{PS}$

$\frac{8}{10} = \frac{x - 1}{x + 2}$

Cross multiply:

8(x + 2) = 10 (x - 1)

8x + 16 = 10x - 10

Subtract 8x from both sides:

8x - 8x + 16 = 10x - 8x - 10

16 = 2x - 10

Add 10 to both sides:

16 + 10 = 2x - 10 + 10

26 = 2x

Divide both sides by 2:

$\frac{26}{2} = \frac{2x}{2}$

13 = x

Verify whether x = 13 is the correct value:

$\frac{ML}{NM} = \frac{ST}{PS}$

$\frac{8}{10} = \frac{x - 1}{x + 2}$

$\frac{8/2}{10/2} = \frac{4}{5}$

$\frac{x -1}{x+2} = \frac{13 - 1}{13 + 2} = \frac{12}{15} = \frac{12 / 3}{15 /3} = \frac{4}{5}$

This shows the proportional relationship between $\frac{ML}{NM} = \frac{ST}{PS}$ , and that ΔNML and ΔPST are indeed similar right triangles.

Therefore, the correct answer is x = 13.

4 0

3 years ago

Janelle has 5 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the

VikaD [51]

Answer:

The distance cover by him walking back is 11.25 miles

Step-by-step explanation:

Given as :

Time for Janelle to spend on training = 5 hours

The running speed of Janelle = 9 mph

The walking back with 3 mph

Let The distance for running and walking is same i.e D miles

SO, Time = $\frac{Distance}{Speed}$

∴ 5 = $\frac{D}{9}$ + $\frac{D}{3}$

Or, 5 × 9 = D + 3 D

Or, 45 = 4 D

∴ D = $\frac{45}{4}$ = 11.25 miles

Hence The distance cover by him walking back is 11.25 miles Answer

6 0

3 years ago