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Debora [2.8K]
3 years ago
10

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the dista

nce in 4.5 h. Car B traveled 5 mph slower than Car A.
(The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.)

How fast did Car B travel?
Mathematics
1 answer:
Kamila [148]3 years ago
8 0

40mph for Car B I think. 45mph for Car A. 45(mph) times 4(h) is 180(distance) and 40 times 4.5 is also 180. Sorry if I'm wrong.

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There were 180 students in attendance at the dance. If there were 32 more boys than girls at the dance, how many girls and boys
babymother [125]

\huge\boxed{\text{$74$ girls}}\ \huge\boxed{\text{$106$ boys}}

Hey there! This situation can be modeled and solved using a system of equations. We'll use b to represent the number of boys and g to represent the number of girls.

\displaystyle{\left \{ {{b+g&=180} \atop {b&=g+32} \right.}

Since we know what b equals, we can substitute it into the first equation.

\begin{aligned}b+g&=180\\(g+32)+g&=180&&\smash{\Big|}&&\text{Substitute.}\\2g+32&=180&&\smash{\Big|}&&\text{Combine like terms.}\\2g&=148&&\smash{\Big|}&&\text{Subtract $32$ from both sides.}\\g&=74&&\smash{\Big|}&&\text{Divide both sides by $2$.}\end{aligned}

Now that we know the number of girls, use the second equation to get the number of boys.

\begin{aligned}b&=g+32\\&=74+32&&\smash{\Big|}&&\text{Substitute.}\\&=106&&\smash{\Big|}&&\text{Add.}\end{aligned}

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3 years ago
∫1/(1+sinx^2 +2cos^2x)
MrRissso [65]

Answer:

Im not sure, is this correct?

5 0
3 years ago
A track runner was timed at 3 miles per hour. How many feet per minute did they run?
Snowcat [4.5K]

Answer: A) 264ft/minute


Step-by-step explanation:

1. Based on the information given in the problem, the speed of the track  runner was 3 miles per hour (3\frac{mi}{h}).

2. If you want to know the speed of the track runner in feet per minute, you need to apply the following proccedure:

(3\frac{mi}{h})(\frac{5280ft}{1mi})(\frac{1h}{60min})=\frac{(3)(5280)}{60}=264\frac{ft}{min}

3. Therefore, the answer is the option A.


7 0
3 years ago
Read 2 more answers
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First= -2x+2y+3z=0

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-2x+3z=-2y+-3z

-2x=-2y-3z

Divide both by negative two
-2x/-2=-2y-3z/-2

x=y+3/2z that’s the answer.


Use this to help you with other equations

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Step-by-step explanation:

14 x 2 + 14 = 42

42 + 14 = 56

7 0
3 years ago
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