Ask question

Ask question

All categories

3 years ago

14

Problem page two trains leave stations270 miles apart at the same time and travel toward each other. one train travels 70 at mil

es per hour while the other travels80 at miles per hour. how long will it take for the two trains to meet?

1 answer:

Rufina [12.5K]3 years ago

6 0

Let's use the variable n for time (in hours)
70n + 80n = 270
150n = 270
n = 1.8
It will take 1.8 hours, or 1 hour and 48 minutes

You might be interested in

Helpppp me plz i dont get it

SOVA2 [1]

Try 3.14x2= 6.28 im so sorry if its wrong

6 0

2 years ago

Read 2 more answers

What is 32.043 in expanded form?

SashulF [63]

30 + 2 + 0.04 + 0.003

7 0

2 years ago

A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol

iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let $x_1$ be the number of widgets sold and $x_2$ be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

$x_1+x_2=350...(1)$

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

$35x_1+22x_2=9,000...(2)$

From equation (1), we will get:

$x_2=350-x_1$

Substitute this value in equation (2):

$35x_1+22(350-x_1)=9,000$

$35x_1+7,700-22x_1=9,000$

$13x_1+7,700=9,000$

$13x_1+7,700-7,700=9,000-7,700$

$13x_1=1,300$

$\frac{13x_1}{13}=\frac{1,300}{13}$

$x_1=100$

Therefore, the company sold 100 widgets.

Substitute $x_1=100$ in equation (1):

$100+x_2=350$

$100-100+x_2=350-100$

$x_2=250$

Therefore, the company sold 250 gizmos.

3 0

3 years ago

Read 2 more answers

The table below shows the combination of a dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of wa

egoroff_w [7]

Let's assign a variable x to the number of multiples for each pound of dry mix and water. With that being the said, the question for finding the total pounds would be:

Total pounds = x*Pounds of dry mix + x*Pounds of water
Total pounds = 60x + 8x = 68x = 14 + 1/6 = 85/6
x = 85/6 / 68
x = 5/24

Thus, the pounds of dry mix is 60*5/24 = 25/2 lbs, while the pounds of water is 8*5/24 = 5/3 pounds.

3 0

3 years ago

Find the measures of the legs of isosceles triangle ABC if AB= 2x+4,BC= 3x-1,AC=x+1 and the perimeter of the triangle ABC is 34

Naddika [18.5K]

(2x+4) +(3x-1) +(x+1)=34
6x+4=34
x=5
AB=14, BC=14, AC=6

5 0

3 years ago

Read 2 more answers