1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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!
You might be interested in
At Denver International Airport, 83% of recent flights have arrived on time. A sample of 12 flights is studied. (a) Calculate th
Aleks [24]

Answer:

10.69% probability that all 12 flights were on time

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

83% of recent flights have arrived on time.

This means that p = 0.83

A sample of 12 flights is studied.

This means that n = 12

Calculate the probability that all 12 flights were on time

This is P(X = 12).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{12,12}.(0.83)^{12}.(0.17)^{0} = 0.1069

10.69% probability that all 12 flights were on time

8 0
3 years ago
(?,3)is on the line y = 2x+5. find the other half of the coordinate.
DENIUS [597]
The other half of the coordinate is -1. Just plug 3 in for y and solve.
3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%7Bs%7D%5E%7B2%7D%20%3D81" id="TexFormula1" title=" {s}^{2} =81" alt=" {s}^{2} =81" align="
VMariaS [17]
The square root of 81 is 9
8 0
3 years ago
Read 2 more answers
If the statement "If I am hungry, then I am not happy" is assumed to be true, is its inverse, "If I am not hungry, then I must b
elena55 [62]
No -- other factors will influence whether your happy or not. Saying that is true is inductive reasoning, which is prone to error
8 0
3 years ago
Read 2 more answers
From the sum of 3a^2−ab−2b^2 and 2a^2+5ab−3b^2 subtract a^2−3ab−4b^2
Lubov Fominskaja [6]
(3a^2-ab-2b^2) + (2a^2+5ab-3b^2) - (a^2-3ab-4b^2)

First we distribute the negative throughout the last polynomial:

(3a^2-ab-2b^2) + (2a^2+5ab-3b^2) + (-a^2+3ab+4b^2)

Combine like terms:

4a^2 + 7ab - b^2
3 0
3 years ago
Other questions:
  • How many yards are in 3 times of 4 yards 2 foot
    8·1 answer
  • A line that includes the point (2,10) has a slope of 9. What is its equation in slope intercept form
    10·2 answers
  • HELP ASAP 15 points
    11·1 answer
  • The picture is provided at the top.
    9·1 answer
  • What happens to the slope when a line with positive slope gets close to vertical
    14·1 answer
  • What is the probability of getting three tales
    10·2 answers
  • Factorise :x^2-4x-21+10y-y^2​
    13·1 answer
  • Will mark brainliest if answer !! I need it ASAP please
    6·1 answer
  • please help ASAP! Which best describes the relationship between the two triangles below? Triangle M N L. Angle M is 51 degrees a
    11·1 answer
  • For brainiest in 2 minutes
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!