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
mariarad [96]
3 years ago
6

The sum of two numbers is 31.5. The difference is 5.25. Find the numbers

Mathematics
2 answers:
ANTONII [103]3 years ago
8 0
X+y=31.5
x-y=5.25

add 2 equations
x+y+x-y=31.5+5.25
2x=36.75
x=18.375
y=31.5-18.375=13.125
check : 18.375+13.125=31.5, 
18.375-13.125=5.25 
so
Answer:
18.375 and 13.125

Gwar [14]3 years ago
3 0

Answer:

The two numbers are 18.375 and 13.125

Step-by-step explanation:

Given that the sum of two numbers is 31.5 and their difference is 5.25

we have to find the two numbers.

Let the two numbers are x and y.

As sum of two numbers is 31.5 and difference is 5.25

∴ x+y=31.5   →   (1)

x-y=5.25   →   (2)

Adding eq (1) and (2), we get

2x=31.5+5.25=36.75

x=\frac{36.75}{2}=18.375

(2) ⇒ 18.375-y=5.25 ⇒ y=13.125

Hence, the two numbers are 18.375 and 13.125

You might be interested in
Management at a seaside resort is publishing a brochure and wants to include a statement about the proportion of clear days duri
Ymorist [56]

Answer: B. 264

Step-by-step explanation:

Formula to calculate the sample size 'n' , if the prior estimate of the population proportion (p) is available:

n= p(1-p)(\dfrac{z}{E})^2

, where z = Critical z-value corresponds to the given confidence interval

E=  margin of error

Let p be the population proportion of clear days.

As per given , we have

Prior sample size : n= 150

Number of clear days in that sample = 117

Prior estimate of the population proportion of clear days = p=\dfrac{117}{150}

E= 0.05

The critical z-value corresponding to 95% confidence interval = z*= 1.95 (By z-table)

Then, the required sample size will be :

n= \dfrac{117}{150}(1-\dfrac{117}{150})(\dfrac{1.96}{0.05})^2

Simplify ,

n= (0.1716)(39.2)^2

n= 263.687424\approx264

Hence, the sample size necessary to construct this interval =264

Thus the correct option is B. 264

7 0
3 years ago
What is slope of the libe
Xelga [282]
The slope of a line usually determines id the line is negative or positive. For example, lines going uphill, or uphill slopes, are positive slopes. The slope will be a positive number such as, yet not limited to, 5, 10, or 57. Or you can also take their counter parts for example, downhill slopes would be considered negative slopes, meaning they go below zero, instead of above, like positive slopes. Hope this helps. :D
7 0
3 years ago
Verbal expression for 4x^5
dsp73
4 multiplied by x to the power of five
3 0
3 years ago
Show all you're work!! Point's and will mark brainliest
Musya8 [376]

Answer:

d = 7.2

Step-by-step explanation:

Step 1: Write out equation

d/1.2 = 6

Step 2: Multiply both sides by 1.2

d = 7.2

4 0
3 years ago
Question 4 (1 point) Determine whether the ordered pair (3,28) is a solution to the equation 2x- y/2 = -8 (3, 28) Is a solution
bulgar [2K]

Answer:

It is a solution

Step-by-step explanation:

Given

2x - \frac{y}{2} = -8

Required

Determine if (3,28) is a solution

(3,28) implies that:

x = 3

y = 28

To check if it is a solution, we simply substitute values for x and y in the given equation;

2x - \frac{y}{2} = -8

2(3) - \frac{28}{2} = -8

6 - 14= -8

-8= -8

Since both sides of the equation are equal; then, Yes, it is a solution

6 0
2 years ago
Other questions:
  • Create an inequality in the form of Latex: px+q=r
    14·1 answer
  • 2000 dollars and grows at 4.5% every year. what would be the money after 13 years
    10·1 answer
  • Find the surface area of the rectangular prism.
    10·1 answer
  • What is the equation for this graph
    10·1 answer
  • 4x+9=-3 simplify the following expression
    14·1 answer
  • Kim earns $30 for babysitting on Friday nights she makes an average of $1.25 in tips per hour write the function of Kim’s earnin
    14·1 answer
  • 1. Anil runs around a square park of side 90 m. Rohan runs around a rectangular
    5·1 answer
  • Plzzzzz helpp!!!!!!!!!!!!!!
    15·2 answers
  • What is the equation standard form of through (2,-4))and the slope is -4
    5·2 answers
  • can someone show me how this problem would work out? I dont just want an answer I want to see how this problem is worked out. Th
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!