1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mademuasel [1]
3 years ago
9

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the dis

tance in 4 h. Car A traveled 22 mph faster than Car B. How fast did Car A travel?
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0
One way to go about this is to first list everything we know in the form of variables. This will make it easier to see how these numbers correlate instead of trying to remember formulas to plug these numbers into.

TimeA = 2.4h (time of Car A to travel)
TimeB = 4h (time of Car B to travel)
SpeedA = SpeedB + 22mph (Speed of Car A<span>)
</span>SpeedB = SpeedA - 22mph (Speed of Car B<span>)
</span>Distance = x (the distance traveled by each car)

We are looking for SpeedA. How can we find this? Well, we know that speed multiplied by time is equal to distance, so let's start there.

SpeedA * 2.4h = x
<span>(SpeedB + 22mph) * 2.4h = x
</span>(2.4h * SpeedB) + 52.8miles = x

We also know that:
SpeedB * 4h = x

Since both of these equations are equal to x, we can combine them:
SpeedB * 4h = x = <span>(2.4h * SpeedB) + 52.8miles
</span>SpeedB * 4h = <span>(2.4h * SpeedB) + 52.8miles
</span>1.6h * Speed B = 52.8miles
SpeedB = 52.8/1.6 mph = 33 mph

<span>SpeedA = SpeedB + 22mph = 33mph + 22mph = 55mph
</span>
Therefore, Car A was traveling at 55mph.
You might be interested in
Factor completely 4ab − 7ax + 8b − 14x.
ASHA 777 [7]
4ab + 7ax + 8b - 14x
a(4b - 7x) + 2(4b - 7x)
(4b - 7x)(a + 2)

The answer is: (4b - 7x)(a + 2).
5 0
3 years ago
Read 2 more answers
Ari buying 10 1/2 feet of rope that costs $5.25 per foot.How much will Ari spend?
lapo4ka [179]

Answer:

55.13

Step-by-step explanation:

10×5.25 = 52.50

52.50+2.63= 55.13

8 0
3 years ago
Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
Leya [2.2K]
5 oz. Hope this helped!
5 0
3 years ago
Marley is a waitress. On Thursday, she earned $4.60 per hour plus $50.25 in tips. How many hours did she work that day if she ea
ELEN [110]

Answer:

8 hours

Step-by-step explanation:

1. Subtract value of tips she got that day

87.05 - 50.25 = 36.8

36.8 is the actual payment for her job that day

2. Divide 36.8 with paid/hour (4.6)

36.8 ÷ 4.6 = 8 hours

8 0
3 years ago
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
Other questions:
  • If -2/1 = 6/7x , what is x?
    11·2 answers
  • The function b(x) = 2x − 5 determines how many bags of dog food need to be purchased for an animal shelter, where x is the numbe
    8·1 answer
  • Hey help me its due today
    7·1 answer
  • The area and perimeter of parallelogram
    15·1 answer
  • -2x-+5x-9<br> 3x-13<br> simplify the expression
    8·2 answers
  • Grace was driving down a road and after 4 hours she had traveled 66 miles. At this speed, how many miles could Grace travel in 8
    15·2 answers
  • Pllssss helpppppp plsssssssss
    5·1 answer
  • Who could help me with this please and thank you
    13·1 answer
  • Polimerlerin su ile parçalanarak monomerlerine ayrılmasına ne denir?<br>​
    8·1 answer
  • adam bought abox of fruit that weighed 6 3/8 kilograms if he bought a second box that weighed 7 2/5 kilograms ,what is the combi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!