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just olya [345]
3 years ago
6

Two numbers have difference of 0.7 and a sum of 1. What are the numbers?

Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0
We can solve this by setting up 2 equations. We can use any letters like. For now, I'll use x and y.
So now we know that    x - y = 0.7   and    x + y = 1.
Now we can eliminate one of the letters by adding or subtracting one equation from the other. I am going to eliminate y by adding the two together (the y and the -y cancel).
This gives us   2x = 1.7,    and so x = 1.7 ÷ 2 = 0.85
Finally, we can substitute x for 0.85 back into one of the original equations to figure out what y equals. I'm going to use   x + y = 1.
So now we have    0.85 + y = 1,    so y = 1 - 0.85 = 0.15

The numbers, therefore, are 0.85 and 0.15 (you can check by using the other equation).

Hope this helps!
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3/7+-5/11+-5/14+3/11​
Pachacha [2.7K]

Answer:

Hey!

Your answer is 1\frac{5}{8}!

Step-by-step explanation:

Also can be written as 41/8!

HOPE THIS HELPED!

3 0
3 years ago
Read 2 more answers
Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
3 years ago
The estimated velocity v (in miles per hour) of a car at the end of a drag race is v=234\sqrt[3]{p/w} , where p is the horsepowe
Dennis_Churaev [7]

Answer:

299 miles per hour

Step-by-step explanation:

v=\frac{234}{\sqrt[3]{\frac{p}{w}}}

v=\frac{234}{\sqrt[3]{\frac{1311}{2744}}}

v\approx299

Therefore, the velocity of the car at the end of a drag race is 299 miles per hour

8 0
2 years ago
The table below shows the different times it takes Paula to drive to work each day depending on the rate at which she drives.
faust18 [17]
Speed = distance / time
30 = d / 2.5
30 * 2.5 = d
75 = d

40 = d / 1.875
40 * 1.875 = d
75 = d

50 = d / 1.5
50 * 1.5 = d
75 = d

60 = d / 1.25
60 * 1.25 = d
75 = d

24 = 75 / time
time = 75/24
time = 3.125 hours
7 0
3 years ago
Read 2 more answers
Freddy spent $56.07 on four pairs of jeans at the store. His cost included $4.15 sales tax.
S_A_V [24]
$12.98 each. You would do $56.07 - $4.15. Then divide the answer of that by four.
5 0
3 years ago
Read 2 more answers
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