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Inessa [10]
3 years ago
12

In a fraction the denominator is 5 more than numerator.When 3 is added to the numerator and 1 is added to the denominator the si

mplest form of the fraction is 2/3. Find the original fraction.​
Mathematics
2 answers:
Leno4ka [110]3 years ago
6 0
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ The original fraction can be written as:

x/x + 5

This is the information we have:

x + 3/x + 6 = 2/3

Cross multiply them:

3x + 9 = 2x + 12

Subtract 2x from both sides:

x + 9 = 8

Subtract 9 from both sides:

x = 3

The original fraction was 3/8

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Marysya12 [62]3 years ago
4 0

Answer:

<u> 3/8.</u>

Step-by-step explanation:

Let the original fraction be x / (x + 5).

Then (x + 3) /  (x + 5 + 1)  = 2/3

x + 3 / x + 6 = 2 / 3

Cross multiply:

3(x + 3) = 2(x + 6)

3x + 9 = 2x + 12

x = 12 - 9 = 3

The original fraction is 3 / (3 + 5)

=<u> 3/8.</u>

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Softa [21]

Answer:

CAB = 30.71   BCA = 90    ABC = 59.29

Step-by-step explanation:

BCA = 90

9x + 6 + 5x = 90

14 x = 90-6 = 84

x = 43/7

(43/7 ) * 5 = 30.71

90 - 30.71 = 59.29

6 0
3 years ago
Find 2 consecutive integers that the sum is 149?
disa [49]
Write an equation. To do this, make one integer equal to x, and the other equal to x+1. Set these equal to 149. Your equation should read x+(x+1)=149. Solve. To do this, add the two x's together. Your equation is now 2x+1=149. Get your x's alone. First, subtract 1 from both sides. Now the equation is 148=2x. Divide both sides by 2 to get x alone. You now have x=74. Plug this value back into the original equation to find your value for the other integer, and you have the two integers as 74 and 75. Hope this helps!
7 0
3 years ago
Write this number showing three significant figures. Remember to round. 8.428
nikdorinn [45]

Answer:

8.43

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help me I’m on gradpoint. I will mark you brainlest if you can also find the website to get all gradpoint answers!
AlekseyPX

Answer:

C. (1, 1, 2)

Step-by-step explanation:

Well plugging them in one by one.

x + y - z = 0

-1 + 2 - 4 = 0

no.... no it doesn't equal 0 so it isn't the solution

-1 + 0 - 2 = 0

nope it doesn't equal 0 so it's also not the solution

1 + 1 - 2 = 0

Yes! this could equal the solution so lets keep going down the line

3x - y + z = 4

(3*1) -1 + 2 = 4

Yes! this also is correct

I could keep talking and talking but yes, (1, 1, 2) is your answer

Hope this helps! <3

3 0
3 years ago
If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by
Vitek1552 [10]

Answer:

a) Average velocity at 0.1 s is 696 ft/s.

b) Average velocity at 0.01 s is 7536 ft/s.

c) Average velocity at 0.001 s is 75936 ft/s.

Step-by-step explanation:

Given : If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by y = 70t-16t^2.

To find : The average velocity for the time period beginning when t = 2 and lasting.  a. 0.1 s. , b. 0.01 s. , c. 0.001 s.

Solution :    

a) The average velocity for the time period beginning when t = 2 and lasting 0.1 s.

(\text{Average velocity})_{0.1\ s}=\frac{\text{Change in height}}{0.1}

(\text{Average velocity})_{0.1\ s}=\frac{h_{2.1}-h_2}{0.1}

(\text{Average velocity})_{0.1\ s}=\frac{(70(2.1)-16(2.1)^2)-(70(0.1)-16(0.1)^2)}{0.1}

(\text{Average velocity})_{0.1\ s}=\frac{69.6}{0.1}

(\text{Average velocity})_{0.1\ s}=696\ ft/s

b) The average velocity for the time period beginning when t = 2 and lasting 0.01 s.

(\text{Average velocity})_{0.01\ s}=\frac{\text{Change in height}}{0.01}

(\text{Average velocity})_{0.01\ s}=\frac{h_{2.01}-h_2}{0.01}

(\text{Average velocity})_{0.01\ s}=\frac{(70(2.01)-16(2.01)^2)-(70(0.01)-16(0.01)^2)}{0.01}

(\text{Average velocity})_{0.01\ s}=\frac{75.36}{0.01}

(\text{Average velocity})_{0.01\ s}=7536\ ft/s

c) The average velocity for the time period beginning when t = 2 and lasting 0.001 s.

(\text{Average velocity})_{0.001\ s}=\frac{\text{Change in height}}{0.001}  

(\text{Average velocity})_{0.001\ s}=\frac{h_{2.001}-h_2}{0.001}

(\text{Average velocity})_{0.001\ s}=\frac{(70(2.001)-16(2.001)^2)-(70(0.001)-16(0.001)^2)}{0.001}

(\text{Average velocity})_{0.001\ s}=\frac{75.936}{0.001}

(\text{Average velocity})_{0.001\ s}=75936\ ft/s

5 0
3 years ago
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