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professor190 [17]
3 years ago
15

Two cars simultaneously left Points A and B and headed towards each other, and met after 3 hours and 15 minutes. The distance be

tween points A and B is 364 miles. What is the speeds of the cars, if one of the cars travels 12 mph faster than the other?
Mathematics
2 answers:
DanielleElmas [232]3 years ago
4 0

Answer:

50 62

Step-by-step explanation:

Annette [7]3 years ago
3 0

Answer:

48.5 and 60.5 mph

Step-by-step explanation:

Given distance between A and B is 364 miles

Let they meet after y and 364 - y miles.

And, Let speed of one car is x then speed of other car will be (x + 12) mph

Also time after they meet is 3 hours and 15 minutes = 13 ÷ 4 hours.

Using the distance- time formula,

We get equation:

\frac{13}{4}=\frac{364-y}{x+15} \\and, \frac{13}{4}=\frac{y}{x}

Thus, After simplifying we get,

13x + 4y = 1261

and, 13x - 4y = 0

Solving we get the value of x = 48.5

Thus, the Speed is 48.5 and 60.5 mph

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mary will spin the spinner below 150 times. about how many times should mary expect the spinner to land on a number greater than
irga5000 [103]

Answer:

56 times (This is still assuming 1 isnt an option)

Step-by-step explanation:

0,2,3,4,5,6,7,8

There are 8 options, 3 of which are greater than 5

3/8

3/8 = x/150

3*150 = 450

8 * x = 8x

8x = 450

450/8  = 56.25

56 times

-- Gage Millar

5 0
3 years ago
Put commas and write the following numbers in Indian system of
Alenkinab [10]

<em><u>1</u></em><em><u>.</u></em><em><u> </u></em><em><u>Indian </u></em><em><u>System</u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

(a) 23,45,678

(b) 56,78,090

<em><u>2</u></em><em><u>.</u></em> <em><u>International</u></em><em><u> </u></em><em><u>System</u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

(a) 234,589

(b) 9,807,062

8 0
3 years ago
What is the ultimate goal when solving equations? What do you want your final answer to look like?
STALIN [3.7K]

Answer:

\huge\boxed{\text{To get x on one side of the equation:} \ \ x = ...}

Step-by-step explanation:

When we solve for an equation, our goal is to find the value of the variable. Any variable can be used, but for the time being let’s assume we use x.

We can algebraeically solve equations until we get the value of x - in which we will have x equal to something.

Say we have the equation 5x+5=20. Our goal is to find the value of x. <u>We can do this by getting x isolated on one side so we have something equal to x</u>.

We can subtract 5 from both sides and divide both sides by 5.

5x=15\\\\x=3

We now know the value of x since it’s on one side of the equation.

Hope this helped!

5 0
3 years ago
Write down the equation of a line that is parallel to the x-axis and passes through (-2, 5).​
Rudiy27

Answer:

y = 5

Step-by-step explanation:

If the line is parallel to the x-axis, regardless of the value of x, the value of y must remain at y = 5.  Therefore, x can be any number, (x,5), including -2.

8 0
3 years ago
1/2-3(1/2 +1 )^2
MAVERICK [17]

\bf \cfrac{1}{2}-3\left( \cfrac{1}{2}+1 \right)^2\implies \stackrel{\mathbb{PEMDAS}}{\cfrac{1}{2}-3\left( \cfrac{1+2}{2} \right)^2}\implies \cfrac{1}{2}-3\left( \cfrac{3}{2} \right)^2 \\\\\\ \cfrac{1}{2}-3\left( \cfrac{3^2}{2^2} \right)\implies \cfrac{1}{2}-3\cdot \cfrac{9}{4}\implies \cfrac{1}{2}-\cfrac{27}{4}\implies \stackrel{\textit{LCD of 4}}{\cfrac{2-27}{4}} \\\\\\ -\cfrac{25}{4}\implies -6\frac{1}{4}

4 0
3 years ago
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