Please Help With this question!<br> There are 3 pictures!

Two cars start out together from the same place. they travel in opposite directions, with one of them traveling 5 miles per hou

Mashutka [201]

<u>Annotation</u>
General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.

One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)

The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)

Plug the d-v-t relationship to the second equation
d₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262

Plug the v₁ as (v₂+5) from the first equation
2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.

Find the velocity of the first car, use the first equation
v₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.

Answer
$\boxed{\boxed{ v_{1}=68mph} }$
$\boxed{\boxed{ v_{2}=63mph} }$

7 0

3 years ago

Find the slope of the line.<br><br> A.) 3/2<br> B.) - 2/3<br> C.) - 3/4<br> D.) 4/3

Julli [10]

Option C is your answer.

It's a negative sloping line which eliminates A and D. Then you just do the whole rise-over-run deal to get the 3/4 part.

8 0

2 years ago

The organizer of a conference is selecting workshops to include. She will select from 4 workshops about genetics and 7 workshops

kirza4 [7]

What can u explain this in a different way cuz what does this mean

4 0

2 years ago

I WILL GIVE BRAINLIEST!!!!

posledela

The answers to the questions are:

1. x = 4

2. x = 1.5

3. x = 1.875

4. x = 1

<h3>2 step equation:</h3>

1. 4x + 3 = 19

4x = 19 - 3

4x = 16

divide by 4

x = 4

<h3>2 step equation w/ fractions:</h3>

(4/3)x + 5 = 17

= 1.33x + 5 = 7

Take like terms

1.33x = 7-5

1.33x = 2

divide through by 1.33x to get 2

x = 2/1.33

x = 1.5

<h3>3. Distributive Property:</h3>

4x(6 - 2) - 10 = 20

Multiply and open the bracket

24x - 8x - 10 = 20

Take like terms

16x = 20+10

16x = 30

x = 30/16

= 1.875

<h3>4. Decimals:</h3>

4.3x + 0.7 = 5

4.3x = 5 - 0.7

4.3x = 4.3

x = 1

Read more on distributive properties here:

brainly.com/question/2807928

#SPJ1

7 0

1 year ago

The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What

Darina [25.2K]

X = older brother
y = younger brother

Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4

$( \frac{2y}{3} + 8) / y +8 = \frac{3}{4}$
$(2y + 24)/3 = y + 8 = \frac{3}{4}$
$2y + 24 = 3 (y + 8) = \frac{3}{4}$
$2y + 24 = 3y + 24 = \frac{3}{4}$
$4 (2y + 24) = 3 (3y + 24)$
$8y + 96 = 9y + 72$
$y = 24$

The age of the older brother is 24.

$x = \frac{2y}{3} = \frac{2*24}{3}$
$x = \frac{48}{3}$
$x = 16$

The age of the youngest brother is 16.

5 0

3 years ago

Read 2 more answers

Please Help With this question! There are 3 pictures!