The sum of two numbers is 20. Their difference is 4.
a. Write a system of equations that describe this situation
b. Solve by elimination to find the two numbers

Answers

Answer 1

Answer:

The two numbers are 12 and 8

Step-by-step explanation:

Well this is pretty simple

We can just list out everything that Adds up to 20

1+19

2+18

3+17

4+16

5+15

6+14

7+13

8+12

9+11

10+10

Now just subtract each one until you get the one that equals to 4

Which is 12 and 8 in this case


Related Questions

If 12 X 15 = 180 then what would 24 X15 equal (without solving it on paper)? Is there an easy way to figure out the answer? If so, explain.

Answers

Answer:

360

Step-by-step explanation:

It's a simple concept. All you have to do is double the answer! Here's why:

We already know that 12 x 15 is 180. Now we're trying to figure out 24 x 15. 24 is 12 two times, or 12 doubled. Since 12 is doubled, the answer should also be doubled.

Let's take an easier example: 3 x 2.

The answer is 6. What if you doubled the 3 to get 6 x 2? The answer is 12, which is 6 doubled. By doubling the multiplier or multiplicand of the problem, you are also doubling the answer.

It's not just doubling, either. If 3 x 2 is 6. Then 9 x 2 is 18. You tripled the multiplier which is 3, so the answer is also tripled.

Hope this makes some sense lol

( THIS COULD BE A QUICK ONE ! )

Amy solved the inequality and was asked to express her answer in set notation. Determine if she
made a mistake, correct the mistake if she made one and create the correct expression in set notation.

-X-7>-6

X> 1

(1, ∞ )

Answers

Step-by-step explanation:

-X - 7 > -6

-7 > X - 6

X < -1

Hence the answer in set notation is (-∞, -1).

Answer:

x<-1

x€(-∞,-1)

Step-by-step explanation:

Yes she made mistake

Here's the correction


Perry is making a scrapbook with pictures of all his summer activities. He filled 6 pages with
24 pictures from his weekend at the beach. Perry has 44 pictures from his week at camp.
If Perry adds pictures to his scrapbook at the same rate, how many pages will he fill with his
camp pictures?

Answers

Answer: 188

Step-by-step explanation:

So first do

6 X 24=144+44=188

Tell me if I am right

Answer:

Step-by-step explanation:

11

Cole averaged 35 points per game in last year's Math Hoops season. This year he has increased his scoring by 30%. What is his new average score per game?

Answers

Answer:

45.5 points per gamesl

Step-by-step explanation:

Cole averaged 35 points per game in last year's Math Hoops season. This year he has increased his scoring by 30%. What is his new average score per game?

Step 1

We find how many points the score increase by

The percentage increase = 30%

Hence:

30% × 35 points

= 10.5 points

Step 2

His new average score =

Former score + increase

= 35 + 10.5

= 45.5 points per game

Two binomials were multiplied together and the result is represented by the 1 point
algebra tiles shown. What are the two original binomials?

Answers

Answer:

What are the answers?

Step-by-step explanation:

Find the x value of the system of equations. Use the technique of ELIMINATION to solve this problem. Proper work must be shown on your work submission. 3x-2y=4 5x+y=11 the answer choices are 2 , -1 , 1 , -2

Answers

Answer:

2

Step-by-step explanation:

Given the equation :

3x - 2y = 4 - - - (1)

5x + y = 11 - - - (2)

Multiply (1) by 1 and (2) by 2

3x - 2y = 4 - - - - - (3)

10x + 2y = 22 - - (4)

Add (3) and (4)

13x = 26

x = 26/13

x = 2

PLEASE HELP ASAP!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
I WILL NAME BRAINLIEST

Answers

Answer:

J(8,4)K(4,10)L(12,12)M(14,10)

3D3L   -> J(8,1)K(4,7)L(9,9)M(11,7)

2R3D  -> J(10,1)K(6,7)L(14,9)M(16,7)

3L2UP -> J(5,6)K(1,12)L(9,14)M(11,12)

Write the following precent as a decimal 1/8%

Answers

Answer:

.125

Step-by-step explanation: To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = . 125. To convert the decimal .

Answer: 0.00125

Step-by-step explanation:

percent= decimal×100 therefore, decimal=percent/100 so 1/8 divided by 100 is 0.00125

Luke divided 16.80 by 2.5 as shown, but he forgot to put the decimal point in the
answer.
Complete the sentence below.

Answers

Answer:

it equal 6.72

Step-by-step explanation:

if u divide them it will equal 6.7 but his answer would of looked like 672

Ricardo has $25 to spend on school supplies. He spends 56% of the money on a backpack and the rest on a large binder. How much money does he spend on the backpack? How much does he spend on the binder

Answers

Answer:

Ricardo spends $14 on the backpack and $11 o the binder.

Step-by-step explanation:

First, you have to calculate 56% of the amount Ricardo has to spend on school supplies to find the money he spends on the backpack:

$25*56%=$14

Now, you have to subtract 56% from 100% to find the percentage that he spent on a large binder:

100%-56%=44%

Finally, you have to calculate the 44% of the amount Ricardo has to spend on school supplies to find the money he spends on a large binder:

$25*44%=11

According to this, the answer is that Ricardo spends $14 on the backpack and $11 o the binder.

HELP ME PLEASE I'M RUNNING OUT OF TIME!

Answers

Answer:

i think it should be C, im not so sure though

Step-by-step explanation:

if you look, you just go greatest to least, so ig Sanjay (who has 1000) should be the greatest, then Raisa, Felicity, then Megan. if im wrong im so sorry- ;-;

Question is in the picture. PLEASE HELP ASAP GIVING BRAINLIEST & 30 POINTS!

Answers

Answer:

x=5

Y=0

Hope this helpssssssssssssssss

Answer:

x=1; y=13/5

Step-by-step explanation:

(I'm sure you can do given yourself)

<D=<B                 Def of parallelogram

8x+5=5y              Substitution

<a and <d is         Def of paralleogram

supplementary

3x+10=5y             Substitution

8x+5=5y                 Do system of equations

3x+10=5y                

8x+5=3x+10            they both equal 5y so set both the equations together

5x+5=10                  subtract 3x from both sides

5x=5                       subtract 5 from both sides

x=1                            divide by 5 on both sides

8(1)+5=5y                  plug in x to one of the previous equations

13=5y                         Simiplfiy

y=13/5                        

Find m ABD. Please help me.

Answers

Answer:

31x

Step-by-step explanation:

Were just looking at the top triangle because it has the points A,B, and D. now we solve for x (aka answer the equation in the parentheses). We need to get rid of the 22 so we only have x. We do that by adding it to itself so it equals 0. What we do to one side we do to the other. Now adding 22 to 9 we get 31 (put the x back).

 9x - 22

+22 +22

9x - 22 = 31x

A gymnast's score for a routine is calculated by finding the sum of a difficulty score and an execution score, minus any penalties. The execution score starts at 10 and is reduced by deductions. The gymnast's score can be represented by: 6.9 + (10 – 1.534) – 0.3. What is the gymnast's score?

Answers

Answer:

the gymnast score is 15.066

Step-by-step explanation:

The computation of the gymnast score is shown below:

Given that

6.9 + (10 - 1.534) - 0.3

Here the 10 denotes the execution score

6.9 denotes the difficulty score

0.3 denotes the penalties

Based on the above information, the gymnast score is

= 6.9 + (10 - 1.534) - 0.3

= 6.9 + 8.466 - 0.3

= 15.066

Hence, the gymnast score is 15.066

1. The price decreased from $25.00 to $10.00. Find the percent of decrease.

Answers

60% decrease

15 is 60% of 25

What is 60% of 25?

Y is 60% of 25

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 60% * 25

Converting percent to decimal:

p = 60%/100 = 0.6

Y = 0.6 * 25

Y = 15

Answer:

It decreased by 71%

Step-by-step explanation:

25 divided by 35

which is the best approximation of square root of 51
a 5.9
b 5.3
c 9.2
d 7.1
need answer asap

Answers

Answer: Answer is D.

Step-by-step explanation:

Answer:

d 7.1

Step-by-step explanation:

Use a calculator

Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!

Answers

Answer:

1.15

Step-by-step explanation:

12.5% of what number is 24​

Answers

Answer:

192

Step-by-step explanation:

Please I really need help!!!
As fast as possible!!!

Answers

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Corresponding sides are proportional, so the ratios of bottom to left side are the same. The left side of the large triangle is 6+4=10.

  x/10 = 9/6

  x = 10(9/6) . . . . multiply by 10

  x = 15

Given h(x)=5x-2, find h(5)

Answers

Answer:

h(5)=23

Step-by-step explanation:

23 is the awnser that you need.

When will Peter's baseball hit the ground? Use mathematical evidence to explain your answer.

Answers

Question:

The height of Peter’s baseball is given by the graph below (See attachment)

When will Peter’s baseball reach the highest height? What is the height?  When will Peter’s baseball hit the ground? Use mathematical evidence to explain your answer.

Answer:

Peter's baseball reached the maximum height at 1.5 secondsPeter's baseball hit the ground at 4 seconds

Step-by-step explanation:

The (a) & (b) will be answered by making reference to the attachment.

Solving (a): Time to reach maximum height

The height is plotted at the vertical axis while the time taken is at the horizontal axis.

From the attachment; the following details can be observed

The maximum height is at 90ftWhen the maximum height is traced to the horizontal axis, the corresponding time is 1.5s

Using function notations, this can be represented as:

[tex]f(1.5) = 90[/tex]

And the interpretation is that:

Peter's baseball reached the maximum height at 1.5 seconds

Solving (b): Time to hit the ground

The interpretation of this question is to solve for the x intercept of the graph.

From the attachment; the following details can be observed

The ground is at 0 feetThe corresponding time at 0 feet is 4s

Using function notations, this can be represented as:

[tex]f(4) = 0[/tex]

And the interpretation is that:

Peter's baseball hit the ground at 4 seconds

what
[tex] \sqrt{9} [/tex]

Answers

Answer:

3 is the answer ####%%##

X Y
27 9
48 16
63 21
Does Y vary directly with x
Yes or no

Answers

yes they vary directly 9 times 3 equals 27 , 16 times 3 equals 48 and 21 times 3 equals 63

The monthly salry of Mr jha is Rs 165000.he spends his income in every month in the following ways food 20 percent house rent 25 percent fuel 10 percent miscellaneous 15 percent find his monthly expenditure on each item. how much does he save every month ​

Answers

Answer:

Total monthly expenditure = Rs 115,500

Total savings = Rs 49,500

Step-by-step explanation:

Total salary = Rs 165000.

Food = 20%

= 20/100 × Rs 165,000

= 0.2 × 165,000

= Rs 33,000

House rent = 25%

= 25/100 × Rs 165,000

= 0.25 × 165,000

= Rs 41,250

Fuel = 10%

= 10/100 × Rs 165,000

= 0.1 × 165,000

= Rs 16,500

Miscellaneous = 15%

= 15/100 × Rs 165,000

= 0.15 × 165,000

= Rs 24,750

Total monthly expenditure = food + house rent + fuel + miscellaneous

= Rs 33,000 + Rs 41,250 + Rs 16,500 + Rs 24,750

= Rs 115,500

Total monthly expenditure = Rs 115,500

Total savings = Total salary - Total expenditure

= Rs 165,000 - Rs 115,500

= Rs 49,500

Total savings = Rs 49,500

Select the points that are solutions to the system of inequalities. Select all
that apply.
A. (1,2)
B. (-10,10)
C. (-2,0)
D. (0,10)

Answers

The answers will be points(-10) B and (0,10) D

Answer:

B and D

Step-by-step explanation:

Evaluate the expression 50g^2 if g = 1/5.

Answers

Answer:

2

Step-by-step explanation:

50*1/5 squared

1/5 = 0.2.

0.2 squared = 0.04

0.04 * 50 = 2

The expression after simplifying gives as 2.

What are like and unlike terms in an expression?

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: 50g² and g = 1/5.

Thus substituting we get 50 × 1/25=2

Hence, The expression after simplifying gives as 2.

Learn more about like and unlike terms in an expression here:

https://brainly.com/question/29078851

#SPJ2

In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?

Answers

Answer:

$46.72

Step-by-step explanation:

The first step is to find the price of 1 gallon

5 gallons= 14.46

1 gallon= x

5x= 14.46

x= 14.46/5

1 gallon= $2.92

Therefore the cost of 16 gallons of gasoline can be calculated as follows

1 gallon= 2.92

16= x

x= 2.92 × 16

= $46.72

What's 5/3x(-6/7) In simplest terms??

Answers

Answer: 0.514

Step-by-step explanation:

Determine if the sequence is geometric. If it is, find the 8th term. *
3 points
-2, 8, -32, 128,...
O Not geometric
O Geometric; 8th term: 16384
O Geometric; 8th term: 32768
O Geometric; 8th term: 4096

Answers

Hi! I got you! The answer is 32768, the third option! To do this you enter your numbers into the solution first number(common ratio)^n-1. When inputted you get: -2(-4)7 and that equals the third answer.

Please give brainliest❤️

yall I need help QUICK

Write an equation of a line that passes through the x-intercept 4 with slope -3

PLEASE HELP

Answers

Answer:

y=-3x-12

Step-by-step explanation:

:)

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