Two cars leave town at the same time and travel in opposite directions. Speed of car A is 12 km/h more than car B. They are 312km apart after 4 hours. Find the speed of each car.​

Answers

Answer 1

Answer:

Speed of car B is 33 km/h and speed of car A is [tex]45\,\,km/h[/tex]

Step-by-step explanation:

Let speed of car B be [tex]x[/tex] km/h

Speed of car A is 12 km/h more than car B.

Therefore,

Speed of car A = [tex](12+x)[/tex] km/h

Distance = Speed × Time

Distance travelled by car A in 4 hours = [tex]4(12+x)[/tex] km = [tex](48+4x)[/tex] km

Distance travelled by car B in 4 hours = [tex]4x[/tex] km

Also, cars A and B are 312km apart after 4 hours.

[tex]48+4x+4x=312\\48+8x=312\\8x=264\\\\x=\frac{264}{8}\\\\x=33\,\,km/h[/tex]

Speed of car B is 33 km/h and speed of car A is [tex]12+x=12+33=45\,\,km/h[/tex]


Related Questions

The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?

Answers

Answer:

9 weeks

Step-by-step explanation:

5w+16=61

Subtract 16 from both sides of the above equation.

5w+16-16=61-16

5w = 45

w = 9

Triangle Theorem ( sss, sas, asa )

Answers

Answer:

A.) SSS

B.) HL

C.) SAS

HELP ILL GIVE 80 AND BRAINLIEST

Answers

Answer:

288 sq feet is my best guess

Step-by-step explanation:

:
Jeremy has hit 5 home runs so
far this season. This represents
20% of his yearly goal. How many
more homeruns does he need to hit
to achieve his goal?

Answers

Answer:

20 home runs left to hit.

Step-by-step explanation:

Ok so 100%/20% is 5. Increment 5 home runs until you get to 100%. So, 20% =5, 40% = 10, 80% = 15, and 100% = 20

Answer: 25 home runs

Step-by-step explanation:

20% = 5

40% = 10

80% = 20

80% + 20% = 100%

5+10=25

The aspect ratio, the ratio of the width to the height, of various computer monitors is listed in the table below.​

Answers

Answer: Monitor C is the different one.

Step-by-step explanation:

The aspect ratio is the relationship between width and height.

So we only need to see the quotients between width and height for each monitor and see which quotient is different.

Monitor A:  

Quotient = 1152/864 = 1.333....

Monitor B:

Quotient = 800/600 = 1.333...

Monitor C:

Quotient = 1920/1080 = 1.777...

Monitor D:

Quotient = 1600/1200 = 1.333...

We can see that the one with a different aspect ratio is monitor C.

18 POINTS I need it ASAP !

Answers

Answer:

7 to the power of 3

7 3

Step-by-step explanation:

7 21/ (7 6) 3

7 21/ 7 18

Cross it out and answer is 7 3

Answer:

343

Step-by-step explanation:

[tex]\frac{7^{12} * 7^{9}}{(7^{6})^{3} }[/tex] is the equation.

1. You can add the two exponents in the numerator --> [tex]7^{21}[/tex]

2. You can multiply the exponents in the denominator --> [tex]7^{18}[/tex]

(the equation is now [tex]\frac{7^{21} }{7^{18} }[/tex])

3. Subtract the exponents to get [tex]7^{3}[/tex]

[tex]7^{3}[/tex] = 343

Tamia has four more coins in her collection than Troy. The number of coins in Troy's collection is two raised to the power of eight. Enter the missing part of the numerical expression that represents the number of coins in Tamia's collection. □+28

Answers

Answer:68

Step-by-step explanation: 8 x 8 = 64

4 more, 68

Find x
16 ft
х
12 ft

Answers

Answer:

x = 20

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )

x = [tex]\sqrt{400}[/tex] = 20

Cora read one sixth of her book on day one. She read one fourth of her
book on day two. What fraction of her book did she read in two days?

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6}[/tex] + [tex]\frac{1}{4}[/tex] =  finding common denominator which is 12.   so multiply both sides  with what makes them 12 ...... [tex]\frac{1}{6}[/tex]  [tex]\frac{2}{2}[/tex]    & [tex]\frac{1}{4}[/tex][tex]\frac{3}{3}[/tex]  then add = [tex]\frac{5}{12}[/tex]

The answer is 5/12 your welcome !

Joe would like to paint a rectangular shaped wall. The measures of dimensions of the wall are 8 inches by 4 inches. Every 1 inch represents 3 feet of the actual wall. If the cost of the painting is $2.50 per square feet, find the total cost of paint needed for the entire wall.

Answers

Answer:

$90

Step-by-step explanation:

8 + 4 = 12

12 x 3 (3 feet for each inch) = 36

36 x 2.50 (cost per square foot) = $90

Answer:

$240

Step-by-step explanation:

8 x 4 is 32

32 x 3 is 96

96 x 2.5 is 240

Carl rented a bounce house for his little brother's birthday party. The company charges a base rental charge of $95.25, plus a certain amount per hour. Carl's little brother's party lasted 4 hours, and costs $179.72. Carl plans to rent a bounce house for his little sister's birthday party for 6 hours for about $200. Is this a reasonable estimate? A. Yes, the estimate is reasonable. B. No, the estimate should be lower. C. No, the estimate should be higher.

Answers

Answer:

C. No, the estimate should be higher.

Step-by-step explanation:

Carl's brother party

Fixed charge = $95.25

Number of hours = 4 hours

Hourly charge = x

Total cost = $179.72

179.72 = 95.25 + 4x

179.72 - 95.25 = 4x

84.47 = 4x

x = 84.47/4

x = 21.1175

Hourly charge = $21.1175

Carl's little sister party

Estimated total charge = $200

Number of hours = 6

Fixed charge = $95.25

Hourly charge = $21.1175

Total charges = 95.25 + 6(21.1175)

= 95.25 + 126.705

= 221.955

Total charges = $221.955

C. No, the estimate should be higher

Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 9) 4 3 2 1 0 -3 -2 0 1 2 -1 -1 -2 -3 -4 Slope = y - intercept = Equation = Type here to search i a​

Answers

Answer:

dbjsbysdtsagkpadh2igdgdsdHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHA

Answer:

Step-by-step explanation:

yo is arjun du.mb
csCsscasxsCSc

Answers

What...huh?? English please

Answer:

ok kapoor

Step-by-step explanation:

Two ways you can solve the following equation : 20 = 5(-3+x)

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Method one:

You divide both sides by 5 and get

4= -3+x

7=x

Method 2:

You can distribute the 5

20= -15+5x

35=5x

x=7

Triangle LMN has L at (1, -1) and M at (2, 3). Triangle L'M'N' has L' at (-1, -1), M' at (3, -2), and N' is at (-3, 0). What are the coordinates of vertex N?
N (3, 0)

N (0, 0)

N (0, 3)

N (0, -3)

Answers

Answer:

The answer is N(0,-3)

Given m||n, find the value of x.
xo
170
o
Answer:
Submit Answer

Answers

Answer:

sorry for the points

Step-by-step explanation:

Without using a calculator, order the following numbers from least to greatest.
9
8
(Square root sign)72

Answers

8, (square root) 72, 9

One of the legs of a right triangle measures 9 cm and the other leg
measures 4 cm. Find the measure of the hypotenuse. If necessary,
round to the nearest tenth.

Answers

Answer:

9.8cm

Step-by-step explanation:

The pythagorean theorem states that, for right triangles, [tex]a^{2}+b^{2} =c^{2}[/tex]. Using this equation, we can solve for the hypotenuse.

a = 9cm

b = 4cm

c = hypotenuse

9^2 + 4^2 =c^2

81 + 16 = c^2

[tex]\sqrt{97} =c[/tex]

9.8 = c

PLS HELP!! Jason bought glass vases for his booth at the fair. If he bought 13 vases and the total weight was 34.97 lb, how much did each vase weigh?

A. .00269 lb
B. .0269 lb
C. .269 lb
D. 2.69 lb

Answers

Answer:

D. 2.69 lb is your answer

13vases=34.97lb

1 vase=34.97/13=2.69lb

What was the total amount of water in the tank before it was drained

450 gallons

510 gallons

560 gallons

570 gallons​

Answers

The answer is 560 gallons

Total amount of water before it was drained will be 510 gallons.

What is rate?

"It is a ratio in which the two terms being compared have different units."

For given question,

We have been given  a table for  the number of gallons of water left in the tank after being drained for two amounts of time.

First we find the rate at which the water was drained from the tank.

[tex]r=\frac{450-330}{30-10}\\\\ r=\frac{120}{20}\\\\ r=6~gallons~per~minutes[/tex]

Let the amount of water in the tank before it was drained = 'x' gallons

And the initial time = 0

Using the rate formula,

[tex]r=\frac{x-450}{10-0}\\\\ 6=\frac{x-450}{10}\\\\ 60=x-450\\\\x=450+60\\\\x=510~gallons[/tex]

Therefore, total amount of water before it was drained will be 510 gallons.

Learn more about rate here:

https://brainly.com/question/23634231

#SPJ2

The school store has 2400 pencils in stock and sells an average of 20 pencils per day. The manager reorders when the the number of pencils in stock is 600.

Answers

Answer:

90 days until the next restock

Step-by-step explanation:

2400 - 600 = 1800

1800/20 = 90 days

what is 3x + 7.9 = 9.1

Answers

Answer:

= 0 . 4

Step-by-step explanation:

Answer:

Please refer to the attachment above

Hope it helps

Find the measure of each angle in the isosceles trapezoid WXYZ.

Answers

Answer:

Given each largest angle is x, then the other angles are x, x, 180 -x, 180 - x

This is because of the properties of isosceles triangle

How do I find the value of x?

Answers

Answer:

2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

tan = opp/adj

tan(30) = x/6         ** multiply by 6 on both sides

6tan(30) = x

[tex]2\sqrt{3}[/tex] = x

Eva and Jimmy share and amount of money in the ratio of 8:5 Eva gets 21 more than Jenny. How much do they get each

Answers

Answer:

Eva:$56

Jimmy/Jenny:$35

Step-by-step explanation:

diff->8-5=3

3u->$21

1u->$21÷3=$7

Eva->$7×8=$56

Jimmy/Jenny->$7×5=$35

Graph 2.4 on the number line. Please.

Answers

Answer:

It is the second line after 2. the number line goes up in 0.2

Step-by-step explanation:

a new computer comapny has its sales increasing by 3% each week. A second computer company has its sales decreasing by $100 each day. the first company had $500 in sales when the second company had $7000 in sales. after approximately how many weeks will the sales for the two companies be the same?
A. 9
B. 13
C. 49
D. 63

Answers

Answer:

49

Step-by-step explanation:

On January 29, 2019, Australian authorities confiscated 157.7 kilograms of heroin with an estimated street value of 77 million AUD (Australian dollars). The exchange rate at the time was 1 USD = 1.42 AUD. Based on this information, what was the value in U.S. Dollars per pound for the heroin? Round your answer to the nearest thousand dollars.

Answers

Answer: $343849

Step-by-step explanation:

Since the exchange rate at the time was 1 USD = 1.42 AUD, therefore we will convert 77 million AUD to dollars which will be:

= 77 million / 1.42

= $54.225 million

Therefore, the value in U.S. Dollars per pound for the heroin will be:

= $54.225 million / 157.7

= $343849 pee pound

why doesn't an elephant smoke?

Answers

Answer:

Because it can't

Step-by-step explanation:

Answer:

i dont know, y does it smoke?

Step-by-step explanation:

1). What must you do in order to solve the equation?
15 = m - 5

Answers

Answer:

20

Step-by-step explanation:

15 + 5= 20

Answer:

carry across the-5

minus turns into a +

looks like this

+5+15=m

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