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
Leya [2.2K]
4 years ago
13

What is the solution of p+15=a and 5a-525=2p

Mathematics
2 answers:
natali 33 [55]4 years ago
4 0
You have a system of equations going on here.  The first one is already set equal to a. So let's take that part of the equation, the p + 15, and sub it in for the a in the other equation: 5(p + 15) - 525 = 2p.  Now what we have is an equation to solve that is only in terms of p, not p and a.  We cannot solve an equation with 2 unknowns.  Making that substitution eliminates the a, the second unknown. Now distribute the 5 into the parenthesis to get 5p + 75 - 525= 2p.  Move the 2p over to the left and move the other terms over to the right and combine all the like terms to get 3p = 450.  Dividing both sides by 3 gives you that p = 150.  Now take that p value and sub it into the p + 15 = a to get 150 + 15 = a and a = 165
Sati [7]4 years ago
4 0
P + 15 = a
5a - 525 = 2p
The first equation is already set equal to a, so plug it into the second equation for a.
5(p + 15) - 525 = 2p
Distribute.
5p + 75 - 525 = 2p
Combine like terms.
5p - 450 = 2p
Subtract 5p from both sides.
- 450 = - 3p
Divide both sides by - 3
150 = p
p + 15 = a
150 + 15 = a
165 = a
a = 165, p = 150
You might be interested in
C)PLEASE MAN PEOPLE ARE USING ME FOR POINTS
UNO [17]

The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.

<u>Interquartile Range: </u>

Given the Data -> First Quartile = 2, Third Quartile = 5

Interquartile Range = 5 - 2 = 3

<u>Range:</u> 8 - 1 = 7

<u>Variance: </u>

We start by determining the mean,

\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57

n = number of numbers in the set

Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571

5.3

<u>Standard Deviation</u>

We take the square root of the variance,

\sqrt{5.28571} = 2.29906

2.3

If you are not familiar with variance and standard deviation, just leave it.

3 0
3 years ago
Read 2 more answers
A Chemist needs to mix a 20% acid solution with a 50% acid solution to obtain 15 liters of a 34% acid solution. How many liters
Nuetrik [128]

8 litres (amount of 20% solution needed) and 7 litres for (amount of 50% solution needed)

<u>Step-by-step explanation:</u>

Let consider ‘x’ for 20% acid solution and (15 – x) for 50% acid solution. And so, the equation would be as below,

                         20% in x + 50% in (15 – x) = 15 litres of 34%

Convert percentage values, we get

                              0.20(x) + 0.50 (15 – x) = 15 (0.34)

                              0.20 x + 7.5 – 0.50 x = 5.1

                              -0.3 x + 7.5 = 5.1

                              0.3 x = 7.5 – 5.1

                              0.3 x = 2.4

x = \frac{2.4}{0.3} = 8 litres (amount of 20 \% solution needed)

Apply ‘x = 8’ value in (15 – x) we get,

                         15 – 8 = 7 litres

The value of 7 litres for (amount of 50% solution needed)

8 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPP
otez555 [7]
The answer is A(45) = -211
3 0
3 years ago
Please help due Friday
AveGali [126]

Answer:

It is a linear function because the degree is 1. The function is also neither odd nor even.

8 0
3 years ago
Read 2 more answers
PPPPPPPPPPPPPPLLLLLLLLLLLLLLEEEEEEEEEEEEESSSSSSSSSSSSSSSAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSSSEEEEEEEEEEE help me!
stiv31 [10]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The cost of a jacket increased from $85.00 to $99.45. What is the percentage increase of the cost of the jacket?
    6·1 answer
  • What number between 20 and 25 is a prime number?
    5·2 answers
  • What is the answer a,b,c,d? I need help
    13·1 answer
  • 5th garade math prob 4.6÷7=
    15·2 answers
  • The mapping diagrams below show 4 different relationship between input and output values.
    14·1 answer
  • Need help please!!!! Brainiest if answered correctly!!!! No link, it will be reported!!
    15·1 answer
  • When completed, the Great Pyramid of Giza was 481 feet in height. Lindy constructed a model of the pyramid using the scale 1
    12·1 answer
  • Help ASAP need answer:)
    7·2 answers
  • A softball team has 12 girls on it. The coach needs to arrange 9 girls for the batting order. If the lineup is selected at rando
    14·1 answer
  • 4÷5679 please paki answer​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!