All categories

3 years ago

Two cars leave towns 750 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers

Mathematics

1 answer:

Tanya [424]3 years ago

4 0

Answer:

Step-by-step explanation:

add up their speed.

combined speed = x+ 1 x + 10

( 2 x + 10 )

Time = 5 hours

Distance = 750 miles

Distance = speed * time

( 2 x 10 )* 5 = 750

10 x + 50 = 750

10 x = 750 + -50

10 x = 700

/ 10

x= 70 mph Car A

Car B 70 + 10 = 80 mph

You might be interested in

The prime factor of 180

alisha [4.7K]

Answer: 5*2*2*3*3

Step-by-step explanation:

First you divide 180 by 2 and you get 90. Then you proceed to divide that by 2 again and get 45. You will then divide 45 by 3 to get 15. Then divide 15 by 3 again and get 5, which cannot be divided any smaller.

180/2=90

90/2=45

45/3=15

15/3=5

6 0

3 years ago

The area of a right triangle is given by the expression:

lorasvet [3.4K]

The expression that models the length of the second leg of the triangle is 2x - 3.

Recall:

The area of a triangle = $\frac{1}{2} bh$

Given:

Area of triangle = $\frac{1}{2} (6x^2 - 7x - 3)$

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

$6x^2 - 7x - 3$

To find the expression that models the other leg, divide $6x^2 - 7x - 3$ by 3x + 1:

Thus:

$\frac{6x^2 - 7x - 3}{3x - 1}$

Factorize the numerator

$\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}$

Simplify

$\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3$

Therefore, the expression that models the length of the second leg of the triangle is 2x - 3.

Learn more here:

brainly.com/question/20712284

6 0

2 years ago

How do I find the value of x for a pair of congruent triangles

Andreyy89

Hi there!

For congruent triangles, all angle measures and sides are congruent. So, if you look at the other triangle, and find the corresponding side, it will be the same measure.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

6 0

3 years ago

Guys I need a lot of help and fast like fast fast just comment plz

german

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

How many 4-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 which are divisible by 5 when none of the digits a

Masja [62]

Answer:

120 4-digit numbers.

Step-by-step explanation:

For the numbers to be divisible by 5 they must end in 5.

So the total number of first 3 digits of the 4-digit number are given by the

number of permutations of 3 from the numbers 1,2,3,4,6 and 7 (6 digits)

= 6P3

= 6! / (6-3)!

= 6*5*4

= 120.

6 0

2 years ago