The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?

Answers

Answer 1

Answer:

C & D. check the image just in case the order changes

Step-by-step explanation:

The Sum Of Two Positive Numbers Is 37, And Their Difference Is 7. If X And Y Represent The Unknown Numbers,
Answer 2

A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The sum of the two positive numbers is 37, and their difference is 7.

Let x and y be the numbers:

x > 0 and y > 0

x + y =37

x - y = 7

The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.

After solving the above equation by elimination method:

2x = 44

x = 22

22 - y = 7

y = 22 - 7

y = 15

Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

Learn more about the linear equation here:

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Related Questions

The length of a rectangle is twice the width if the perimeter of the rectangle 60 units find the area of the rectangle

Answers

Answer:

200

Step-by-step explanation:

Length = 2w

2w + 2l = 60

substitute l out with 2w

2w + 2(2w) = 60

2w + 4w = 60

w = 10

l = 20

Area = w • l

        = 10 • 20

        = 200

Please help I’m confused!

Answers

Number 2 is the answer););!;!:!;!;!;!;!;!;!;!;!;?;

Answer:

2nd option; [tex]c=9-a+b[/tex]

Step-by-step explanation:

The first thing you need to do, is rewrite the equation without the square root.So for instance [tex]\sqrt{16}=4[/tex] and [tex]16=(4)^2[/tex] therefore [tex]a-b+c=(3)^2[/tex] Then [tex]a-b+c=9[/tex] Now we take away ' [tex]a[/tex] ' on both sides and add ' [tex]b[/tex] ' on both sidesSo [tex]a-(a)-b+(b)+c=9-(a)+(b)[/tex] Which gives us [tex]0+0+c=9-a+b[/tex] which is simply [tex]c=9-a+b[/tex]

Hope this helps

Brainless to right answer...

Answers

Answer:

Ha, you said "Brainless" instead of *Brainliest*

Lol, here i am, Miss Brainless has arrived!

Step-by-step explanation:

Sry, dude, i just need points...

Answer:

The answer to this equation is 4 7/10, or 4.7.

Step-by-step explanation:

Hopefully this helps you!

If X = 25, what does X equal?

Answers

Answer: it should be 25!!

Step-by-step explanation:

Which is the better buy?
141-fuid-ource container of window clearer for
$7.05
6-pint container of window dieener for $3.84

Answers

Answer:

6-pint container of window clearer for $3.84 is a better buy

Step-by-step explanation:

141-fuid-ounce container of window clearer for  $7.05

7.05 : 141 = 0.05

check your work: 0.05 x 141 = 7.05

so for the first offer you will be paying $0.05 per ounce of window clearer.

6-pint container of window clearer for $3.84

1 pint = 16 ounces

6 pints = 96 ounces

3.84 : 96 = 0.04

check your work: 0.04 x 96 = 3.84

for the second offer you will be paying $0.04 per ounce of window clearer. 6-pint container of window clearer for $3.84 is a better buy because you will be paying less for each ounce of window clearer.

Answer:

the 6-pint container would be cheaper...hope this helps :)

Step-by-step explanation:

60 is 25% of what number

12 is 24% of what number

Answers


60 is 25% of 240 and 12 is 24% of 50

25% is a fourth of 100%. So you want to find what number 60 is a fourth of. Multiply 60 by 4.
60x4=240

24% is 4.17th of 100%. Multiply 12 by 4.17
12x4.17=50

PLs, help me - an international company has 18,700 employees in one country. If this represents 32.8% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.


Answers

Answer:

33.6% of X = 26800

 

X = 26800 / 33.6%  

 

   = 26800 / 0.336

 

  = 79762

 

Note the answer is rounded

Step-by-step explanation:

33.6% of X = 26800

 

X = 26800 / 33.6%  

 

   = 26800 / 0.336

 

  = 79762

 

Note the answer is rounded

What is sieve of eratosthenes? (Only give paragraph, no steps)​

Answers

Step-by-step explanation:

In Mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the first prime number, 2. The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime.This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime.

eight packs of pencils and two packs of crayons cost $30.if 7 packs of crayons cost $21, what is the ratio of the rice of the pack of crayons to the price of the packs fo pencils?

Answers

p = number of pencil packs c = number of crayon packs

8p + 2c = 30
7c = 21

c = $3
One pack of crayons costs $3.00

Plug 3 into the top equation for the value of c and evaluate for p.
8p + 6= 30
- 6= -6
8p = 24
p = $3
One pack of pencils costs $3.00

The ratio of the price of the pack of crayons to the pack of pencils is 1:1.

Consider the triangle.

The measures of the angles of the triangle are 32°, 53°, 95°. Based on the side lengths, what are the measures of each angle?


A)mAngleA = 95°, mAngleB = 53°, mAngleC = 32°

B)mAngleA = 32°, mAngleB = 53°, mAngleC = 95°

C)mAngleA = 43°, mAngleB = 32°, mAngleC = 95°

D)mAngleA = 53°, mAngleB = 95°, mAngleC = 32°

(Make sure to explain how you solved this problem and include things to remember when measuring angles like this. Thank you!)

Answers

Answer:

b

Step-by-step explanation:

edge 2020

Plzzzzz help asappppppp

Answers

The measure of angle 7 is 61 degrees by the Alternate interior angles theorem.

The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines.

Two numbers have a difference of 3. The sum of their squares is 89. Find the number​

Answers

Answer:

The numbers are 8 and 5

Step-by-step explanation:

The square of 8 is 64 and the square of 5 is 25. 25 plus 64 equals 89.

Please help as I’m confused
Try and do 2, as I’m not bothered if you guys can’t do all 3 :)

Answers

Answer:

the formula is base x height / 2

Step-by-step explanation:

try and use this formula to help you:)

84 + 46 + 94 - 66 + 75 + 72 - 58 + 21 =equal what??​

Answers

268. Just woke up though but I know it’s right

−p^3 −5p−9
Select all coefficients.

Answers

Answer:

k

Step-by-step explanation:

k

which rational number is negative?

Answers

Answer:

-1/6, 2/-7, 30/11, 13/-19 and -15/23 are negative rationals

X^3-4x^2+3x+2=0 find all the real values of x

Answers

Step-by-step explanation:

The factor of the polynomial is (x-2)

We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor

We therefore equate

x³-4x²+3x+2=(x-2)(ax²+bx+c)+r

x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r

We group terms on the RHS

x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r

By equating the terms on both sides,

ax³=x³,a=1

Next,

b-2a=-4

b-2(1)=-4

b-2=-4

b=-4+2

b=-2

Next,

c-2b=3

c-2(-2)=3

c+4=3

c=-1

Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1

We now find the zeros of x²-2x-1

which are 1+√2 and 1-√2

The values of x are therefore 2,1+√2, and 1-√2

Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)

Answer:

2, 1 +/- sqrt2

or 2, 2.414, -0.414 (correct to the nearest thousandth).

Step-by-step explanation:

Let x = 2: then

f(2) = 8 - 16 + 6 + 2 = 0

So x = 2 is one  of the zeros.

So one factor of the function is x-2.

If we divide  the function by  (x - 2) we get:

x-2)X^3-4x^2+3x+2(x^2-2x-1

     x^3- 2x^2

            -2x^2+3x

            -2x^2+4x

                       -x+2

                       -x+2

                        .......

So x^2-2x-1= 0

x = [-(-2 +/- sqrt(4 - 4*-1)] / 2

x = (2 +/- sqrt8) / 2

= 1 +/-sqrt8/2

= 1 +/- sqrt2

Analyzing Intersections of Lines and Planes
Use the given diagram to answer the question.
Which line is the intersection of two of the planes
shown?
х
V
w
Which line intersects one of the planes shown?
B
z
Which line has points on three of the planes shown?
Done
DO

Answers

Answer:

x z y

Step-by-step explanation:

i took the assignment

Answer:

X , Z , Y

Step-by-step explanation:

6 1 message Noah's dog eats 8 ounces of dog food each day. Noah bought a 28-pound bag of dog food. How many 8-ounce servings are in a 28-pound bag of dog food?

Answers

Answer:56
Explanation: 28 pounds = 448 ounces
448/8=56

help please
3/11 × 4/9 =​

Answers

Answer:

4/33

Step-by-step explanation:

Multiply 3x4 across which equals 12

Multiply 11x9 across which equals 99

Simplify to equal 4/33

Hope this helps!! :)

Answer:

Exact Form:

433

Decimal Form:

0.¯¯12¯¯

Step-by-step explanation:

Marcus said the ratio of the number of hours he spent doing homework to playing basketball was 2:3. Which statement describes this ratio?

A.
Marcus does homework or plays basketball for 2:30 hours.


B.
There are 2 to 3 hours each night that Marcus does homework or plays basketball.


C.
For every 2 hours Marcus does homework, he plays basketball for 3 hours.


D.
For every 3 hours Marcus does homework, he plays basketball for 2 hours.

Answers

Answer:

C

Step-by-step explanation:

what is the coefficient in the expression 10x +8?​

Answers

Answer: It is 10

Step-by-step explanation:

Answer:

The coefficient is: 10x

Explanation:

The coefficient is the number that comes before the variable

The ordered pairs in the table below define a function.

X Y
-2 9
0 5
2 1
4 -3

Select ALL of the equations that describe a function that is less steep than the function defined in the table.

⭕️ Y= 5
⭕️ Y = -3x
⭕️ Y = -x+6
⭕️ Y= -6x+3
⭕️ Y = -1/2x-4

Answers

Answer:

The 1st, the 4th, and the 5th ones are the answer :)

Step-by-step explanation:

- 1/2(6p+16)=7 solve for p

Answers

Answer:

p = -5

Step-by-step explanation:

-1/2* 6 = -3p

-1/2*16 = -8

-3p-8 = 7

7+8 = 15

-3p=15

15/-3 = -5

Step-by-step explanation:

p

2

+6p−16

=p

2

+8p−2p−16

=p(p+8)−2(p+8)

=(p+8)(p−2)

DEPERATE PLZ HELP IM ON A TIMED TEST

write the slope intercept form of the line that passes through the two points given (-1,-8) (2,10)

Answers

Answer:

y = 6x - 2

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (10 - (-8))/(2 - (-1)) = 6

sub (2, 10):

10 = 6(2) + c

c = -2

therefore, the equation of the line is y = 6x - 2

This is a question on coordinate geometry/graphs. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.

Answers

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

chris can type 490 words in 7 minutes how many word can he type per minute

Answers

Answer:

i think 70 words per minute

Step-by-step explanation:

what is the equation of the line in slop-intercept form​ HELPP PLZZZZZZZZZZ

Answers

Answer:

y = 3/5x + 3

Step-by-step explanation:

(y2-y1)/(x2-x1) = slope

pick 2 points (0,3) and (-5,0)

(0-3)/(-5-0) = -3/-5 = 3/5

y = 3/5x + b

3 = 3/5(0) + b, b = 3

equation y = 3/5x + 3

A scientist is studying the effects of cell phone use on headache rate. She identifies 30 people who use cell phones and 30 who do not. Each of the 60 people is given a questionnaire designed to determine headache frequency. None of the 60 people who participated in the study knew they were part of a study. Which statement is true?

Answers

Answer:

C this is a double blind study.

Step-by-step explanation:

Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.

Answer:

observational study

Step-by-step explanation:
the experimenters are not blind to their own tests.

Archaeologists are studying a shipwreck on the

ocean floor. The wreck site is roughly shaped like a

parallelogram. The archaeologists make a map of the

site in the coordinate plane. Each unit on the map

represents 1 m. According to the map, what is the

area of the wreck site?

Answers

Apologies, but there is no map...?

The area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

What is parallelogram?

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Archaeologists are studying a shipwreck on the ocean floor. The wreck site is roughly shaped like a parallelogram.

From the table:

The vertex of the P is (9, 2)

The vertex of the Q is (-8, 2)

The vertex of the R is (-7, 7)

The vertex of the S is unknown

From the distance formula we can find the distance between points P and Q:

The distance formula can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\rm PQ = \sqrt{(-8-(-9))^2+(2-2)^2}[/tex]

PQ = 17 units

[tex]\rm QR = \sqrt{(-7-(-8))^2+(7-2)^2}[/tex]

QR = 5.09 ≈ 5 units

The area of the wreck site = 17x5

The area of the wreck site = 85 square m

Thus, the area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

Learn more about the parallelogram here:

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