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Sergio [31]
3 years ago
5

A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?

Mathematics
2 answers:
Leya [2.2K]3 years ago
7 0

\frac{.75miles}{1 minute} \frac{60 minutes}{1 hour}

the fractions are set up so minutes cancel out

multiply the numerators to get 45 miles

multiply the denominators to get 1 hour

45 miles per hour

hope this helped

Ksju [112]3 years ago
5 0

Distance traveled by car in one minute = 3/4 mile

The relation between hour and minutes is given by:

one hour = sixty minutes

one minute = 1/60 hours

so we can replace one minute by 1/60 hours

Distance traveled by car in one minute =3/4 mile

Distance traveled by car in 1/60 hour =3/4 miles

distance traveled by car in 1 hour = (3/4) ÷(1/60)

In division we take reciprocal of the number after division sign and multiply it with first.

Reciprocal of 1/60 is 60

so multiplying 3/4 and 60

\frac{3}{4} * 60 = \frac{3*60}{4}  = \frac{180}{4} = 45

So distance traveled by car in one hour is 45 miles.

Speed of car is 45 miles per hour .

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What is the value of x in the diagram?
PilotLPTM [1.2K]

Answer:

65

Step-by-step explanation:

They are vertical angles; so angles are congruent

*<em>Vertical angles are always congruent*</em>

<em>Congruent means equal or same.</em>

1) Since they are congruent, you form an equation.

<h2>145 = 2x + 15</h2>

2) Solve by subtracting 15 from both sides.

<h2>145 = 2x + 15</h2><h2>- 15            -15</h2><h2>----------------------</h2><h2>130 = 2x</h2>

3) Solve by dividing 2 from both sides

<h2>130/2 = 2x/2</h2>

4) Simplify

x = 65

7 0
3 years ago
The city buses that run in your neighborhood stop every 12 minutes .The first bus arrives at 5:00 am for passengers.You get to t
Irina-Kira [14]

Answer:

Therefore you will have to wait 11 minutes.

Step-by-step explanation:

Find the number of minutes between 5:00am and 8:37am

60 mins in an hour.

8-5=3 hours

60x3=180+37=217 minutes

Divide 217 by 12 to see how many bus stops have already been made

217/12=18

18*12=216

217-216=1 minute

12-1=11 minutes



Hope this helps!

8 0
3 years ago
What is the simplified form of x minus 2 over x squared plus x minus 6divided byx squared plus 5x plus 4 over x plus 4?
tatyana61 [14]

Answer:

\dfrac{1}{x^2+4x+3}

Step-by-step explanation:

You have asked for the simpilfied form of ...

x-\dfrac{2}{x^2}+x-\dfrac{6}{x^2}+5x+\dfrac{4}{x}+4

That would be ...

\dfrac{7x^3+4x^2+4x-4}{x^2}

We suspect that's not what you meant. Parentheses are required for grouping when you write math expressions in text form. They work best using math symbols instead of words. We think you mean

... ((x -2)/(x^2 +x -6))/((x^2 +5x +4)/(x +4))

_____

Maybe you want to simplify ...

\displaystyle\frac{\left(\frac{x-2}{x^2+x-6}\right)}{\left(\frac{x^2+5x+4}{x+4}\right)}=\frac{(x-2)(x+4)}{(x-2)(x+3)(x+4)(x+1)}\\\\=\frac{1}{(x+1)(x+3)}=\frac{1}{x^2+4x+3}

_____

<em>Comment on simplifying rational expressions</em>

Division of fractions works the same whether you're working with numbers or polynomials (or anything else). Dividing by something is the same as multiplying by its inverse (reciprocal).

(a/b)/(c/d) = (a/b)·(d/c)

I learned this as "invert and multiply". I've recently seen it referred to as "copy dot flip", meaning you copy the numerator, use a dot symbol to indicate multipication, then flip the denominator (make its reciprocal) to become what you're multiplying by.

8 0
3 years ago
10 points pls answer this is due tonight
lilavasa [31]
1.12 2.60 hope this helps if it is wrong then I’m sorry
5 0
3 years ago
A stock-car race lasted 2.07 hours. how many seconds did the race last?
kolezko [41]
2.07 hr x  \frac{60 min}{1 hr} x  \frac{60 sec}{1 min} = 7452 sec
8 0
3 years ago
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