Mathematics Middle School

Consider the following set of equations:

Equation A: y = −x + 5
Equation B: y = 6x − 2

Which of the following is a step that can be used to find the solution to the set of equations?

−x = 6x + 2
−x − 2 = 6x + 5
−x + 5 = 6x – 2
−x + 5 = 5x

Answers

Answer 1
Since both of the equations equal y, the two equations equal eachother. The answer is c -x+5=6x-2.
Answer 2

Answer:

C)

Step-by-step explanation:

both of the equations equal y so, the two equations equal eachother

Related Questions

Which table represents the same linear relationship as the equation y = 3x +5?

Answers

The correct answer is C. If you need a better explanation then I am happy to help

Oliver earns $9 per hour. Write and solve equation to find how many hours he mustwork to earn in your equation. $315. to define the variable you use

Answers

H=hours

9h= 315

H= 315/9

H= 35

Oliver must work 35 hours to earn $315.

Hopefully, this helps!
H = # of hours of work
315=9H   or $315 = $9*(hours)
Then divide both sides by 9 to isolate the variable.
315/9=35
9h/9=h (9's cancel out)
h = 35
Oliver will have to work 35 hours to earn $315 at $9 per hour. 

"EXPLAIN PLEASE" Which equation does the graph below represent

Answers

Firstly, the graph has a negative gradient (it plots down to the right side rather than up to the right side). This means that in terms of y, x must be negative (this cuts out two of the four options!) Next, you can just take a coordinate from the line, and match it to one of the equations! So take for example (1,-3). When x=1, y=-3(1). So, the answer is the third equation down!

write a story problem that can be solved using the equation: 18.50÷0.5=x

Answers

A man has $18 and 50 cents. He wants to adopt enough children to give each child 50 cents from his $18.50. How many children must this man adopt in order to give away his $18.50 to his newly adopted children?

The smith family bought a new tent for a camping trip with a base of 9 by 15 and a height of 7. What is the volume of their new tent?

Answers

472.5 it's a pryamind or triangular pyramid. so 9x15x7/2

The volume of the tent is 472.5 cubic units.

What is a triangular prism?

'A triangular prism is a three-dimensional shape with two identical faces in the shape of a triangle connected by three rectangular faces.'

According to to the given problem,

Length = 15 units

Base = 9 units

Height = 7

Volume of the tent =( [tex]\frac{1}{2}*9*15*7[/tex] ) cubic units

                               = 472.5 cubic units.

Hence, we can conclude, the volume of the tent is 472.5 cubic units.

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a rectangular prism is completely packed with 84 cubes of edge length 1 over 3 inch without any gap or overlap

Answers

Final answer:

The question involves finding the dimensions of a rectangular prism packed with 84 smaller cubes of a certain size. The answer requires understanding of volume and consideration of the physical characteristics of a rectangular prism.

Explanation:

The problem presents a rectangular prism completely packed with 84 cubes of edge length 1 over 3 inch. To find the dimensions of the prism, we must first understand the volume. Given the volumes of the small cubes (edge length cubed), we can multiply this by the number of cubes (84) to find the total volume of the prism.

Next, we use this total volume to derive the possible dimensions of the rectangular prism. The dimensions should be factors of the total volume, keeping in mind the shape of a physical rectangular prism (which usually has length longer than width and height).

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Ariana has 2/3 quart of milk. She uses 3/4 of it in a cookie recipe. How much milk did Ariana use In her recipe?

Answers

In mathematics, sometimes the word 'of' means 'multiply'.

[tex]\frac{2}{3} * \frac{3}{4} = \frac{6}{12}[/tex]

Simplify.

[tex]\frac{6}{12} = \frac{1}{2}[/tex]

So, 1/2 is the answer.
6/12 or 1/2 because 2 * 3 =6 and 3*4= 12 then you reduce the fraction

Which of the following side lengths can form a triangle?



16 cm, 21 cm, and 47 cm

1 in, 2 in, and 3 in

34 mm, 75 mm, and 100 mm

8 ft, 24 ft, and 33 ft

Answers

34 mm, 75 mm, and 100mm side lengths can form a triangle.

This is because of the "triangle inequality rule", which states that the sum of two side lengths in a triangle must be greater than (not less than or equal to) than the third side length.
A + B > C 
A + C > B 
B + C > A

the smaller of two numbers is 7/8 of the larger. Their sum is 30. Find the two numbers

Answers

Hello! 

To start off let's give these anonymous numbers two different variables...

x = smaller number                   y = larger number

It says that the smaller number is 7/8 of the larger one so lets make that an equation....

x = (7/8)y

It then says that the sum of the two numbers is equal to 30, lets give that an equation too...

x + y = 30

Now all we have to do is substitute the equation for x into the equation above

x + y = 30                                     --->         x = (7/8)y          
(7/8)y + y = 30                          --               x = (7/8)(16)
[ (7/8)y + y = 30 ] * 8             --                  x = 14
7y + 8y = 240                    --
15y = 240                       --
y = 16                          --

The two numbers are 14 and 16

I hope this helps! :D

Please vote me for Brainliest if there is a second answer!

the product of 7 and a nimber increased by 3 is equal to twice the number subtracted from 39

Answers

Let the number is = x

So number increased by 3 is = x+3.

So product of 7 and (x+3) is = 7*(x+3).

Twice of number is = 2x

So we can write 

7(x+3) = 39 - 2x

7x + 21 = 39 - 2x

Now we can arrange the term as

7x + 2x = 39 - 21

9x = 18

x = 2.

SO the number is 2.

A bed & bath company intends to ship out 28,457 blue blankets, and three times as many white blankets. If each box contains 55 blankets of either color, how many full boxes of blankets can be packed, and how many blankets are left over for the last box?

Answers

28457 x 3 = 85371 white blankets

85371 + 28457 = 113,828 total blankets

113828/55 = 2069.6 total boxes

so 2069 full boxes

and 55*.6 = 33 left over blankets

Applicant 2 2/3 pages in five minutes how many pages per hour

Answers

2 2/3 pages=8/3 pages
1 hour=60 minutes
Let x represent the total pages in an hour
8/3 pages in 5 minutes
x pages in 60 minutes
Use cross multiply
x(5)=8/3(60)
5x=160
Divided 5 to each side
5x/5=160/5
x=32 pages per hour. As a result, there will be 32 pages per hour. Hope it help!
Answer:  "32 pages [per hour] " .
__________________________________________
Explanation:
_____________________________________________
Set up a ratio:
______________________________________________
2 ⅔ pages : 5 minute:: x pages: 1 hour ;  Solve for "x" ;

Rewrite as:
_______________________________________
(2 ⅔ pages) / 5 minutes = "x" pages/ 1 hour.

Cross-multiply ; and write as:

(5 minutes) ("x" pages) = (2 ⅔ pages) / 1 hour. ; 
________________________________________
Convert the "5 min"  to its values in units of "hour" ;
________________________________________
   5 min = ? hour ?
________________________________________
   5 min * ([tex] \frac{1 hour}{60 min} [/tex]  = ([tex] \frac{5}{60} [/tex] hr ;

([tex] \frac{5}{60} [/tex] hr  = [(5÷5)/(60÷5)] hr = (1/12) hr.
___________________________________________________
So we take our ratio, which is in the form of an equation, as follows:
___________________________________________________
                 (5 minutes) ("x" pages) = (2 ⅔ pages) * 1 hour.
___________________________________________________
       and rewrite — substituting "(1/12 hr)" in lieu of "(5 min)" — as follows:
___________________________________________________
      (1/12) * ("x" pages) = (2 ⅔ pages) * (1) ;  Solve for "x" ;
___________________________________________________
          Divide EACH SIDE of the equation by:  "(1/12 hr)"; or, more efficiently, multiply EACH SIDE of the equation by "12 hr" ; since "dividing by "(1/12)" is the same as multiplying by "12" ;

(i.e. on the "left hand side" of the equation:

[ (1/12) x ] / (1/12) = x ;

  AND:  (1/12)x * 12  = (1x/12) * (12/1) = (12x/12) = x ; the same result.
            {or: (1/12)x * 12 = (x/12) * (12/1) = ?  ;  The "12's" cancel out to "1's" ;  
                        since: "12÷12 = 1" ;  and we have:
                                    " (x/1) * (1/1) = x * 1 = x ;  which is the same value.
_____________________________________________________
   to isolate "x" on one side of the equation:
_____________________________________________________
          So, as explained above, we multiply EACH SIDE of the equation by "12" ; as follows:
_____________________________________________________    
  [ (1/12 hr) * ("x") ]  * 12  =  (2 ⅔ pages) * (1) * (12)  ;
______________________________________________
Simplify:
______________________________________________
                  x = (2 ⅔ pages) * (12) ; 

                  x = (8/3) * (12/1) = ?

The "3" cancels to a "1" ; and the "12" cancels to a "4" ;
_____________________________________________
since: "12÷3 = 4" ;  and since:  "3÷3 = 1 ".
_____________________________________________
  So rewrite as:
_____________________________________________
              x = (8/1) * (4/1) = 8 * 4 = 32 pages.
_____________________________________________
Alternate:
_____________________________________________
     When we have:  x = (2 ⅔ pages) * (12) ; 

                 x = (8/3) * (12/1) = (8*12)/ (3*1) = 96/3 = 32 .
   
                 x = 32 pages.
_______________________________________________
Alternate:
_______________________________________________
     When we have:  x = (2 ⅔ pages) * (12) ; 

                 x = (8/3) * (12/1) = (8*12)/ (3*1) ;

                 x = (8*12)/ (3*1) ;
 __________________________________________________
We can cancel out the "12 in the numerator" and the "3" in the denominator, and replace with "4" and "1", respectively; and rewrite as:

                 x = (8*4) / (1*1) = (32/1) = 32.
  
                 x = 32  pages per hour.
__________________________________________________

A mule deer can run one over four of a mile in 25 seconds. At this rate, which expression can be used to determine how fast a mule deer runs in miles per hour? A. twenty-five seconds over one-fourth mile = 36 miles per hour B. one-fourth mile over twenty-five seconds = 36 miles per hour C. one-fourth mile over twenty-five seconds = 100 miles per hour D. twenty-five seconds over one-fourth mile = 100 miles per hour

Answers

Answer:

At this rate, which expression can be used to determine how fast a mule deer runs in miles per hour. A 25 seconds/ 1/4 mile = 36 miles per hour

Answer:

B) one-fourth mile over twenty-five seconds = 36 miles per hour

An item on sale costs 45% of the original price. The original price was $15.

Answers

The answer is 8.25. Hope this helps

The selling price of the item in the sale after the discount of 45% will be $8.25.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A thing on special expenses 45% of the first cost. The first cost was $15.

Let the selling price of the item in the sale be 'x'.

The amount of discount is given as,

⇒ 0.45 × $15

⇒ $6.75

The selling price of the item in the sale is calculated as,

x = $15 - $6.75

x = $8.25

The selling cost of the thing in the deal after the rebate of 45% will be $8.25.

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Find the value of x in the kite below. Angle TCU measures (7x – 1)° Kite TUVW, with congruent angles T and V, diagonals intersect at point C
x = 12.7
x = 14
x = 13
x = 14.3

Answers

<TCU = 7x - 1 = 90

x = 91/7 = 13
Its the 3rd choice

You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas you can buy?

Answers

Hi!

So x represents the number of bananas we can buy. Now let's set up the inequality.

0.39x ___ 5.85

Since we can't go greater than 5.85, we can use that less than or equal to sign.

0.39x ≤ 5.85
^ the answer

Hope this helps! :)
0.39b≤5.85  divide both sides by 0.39

b≤15

0≤b≤15

So you can purchase any amount of bananas from zero to fifteen.

Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below: Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?
Mona's method is linear because the number of minutes increased by an equal factor every week.
Sasha's method is exponential because it increases by an equal number every week.
Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.
Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.

Answers

Well it's going to be the last one. Sasha's time is being multiplied by two each week while Mona's is going up by ten each week.

Answer:

Option D.

Step-by-step explanation:

As per given statements we see the time of Sasha practice it increases by a fixed factor of '2' or we can say Sasha's time is multiplied by '2' every week.  

When we see the time of Mona's practice, it increases by 10 mins every week. hence there is a addition of a fixed number '10'.

so option D is correct which says Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.

A circle with a radius of 61cm is made from a wire.The wire is used to make a sector with a radius of 88cm.What is the angle subtended by the sector?

Answers

The circle has a radius of 61 cm, therefore its circumference is
C = 2π*61 = 122π cm

If the wire forms  sector with a radius of 88 cm (as shown in the figure), then the length of the circular sector is
S = 122π - 2*88 = 207.2743 cm

Because the central angle is θ radians, therefore
88*θ = 207.2743
θ = 2.3554 radians
   = (2.3554 rad)*(180 deg/rad)
   = 134.95°

Answer:
The angle subtended by the sector is 135° (nearest whole number)

A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The function f(s) relates the perimeter of a cardboard piece, in inches, to the length of its side in inches. Which of the following shows a reasonable domain for f(s)?

a 23 < s < 46

b 23 < s < 92

c s ≥ 92

d s ≥ 23

Answers

Answer: d. s ≥ 23


Step-by-step explanation:

Let s be the side of the square.

We know that the perimeter of a square =4s

Let f(s)=4s

If the cardboard should have a perimeter equal to at least 92 inches, the inequality would look like

[tex]4s\geq 92[/tex]

Divide both sides by 4, we get

[tex]s\geq\frac{92}{4}\\\Rightarrow\ s\geq23[/tex]

Thus, d. is the right answer. The reasonable domain of f(s) is [tex]s\geq23[/tex]


How to factor quadratic expressions in General

Answers

3x^2 - 4x  - 7 = (3x - 7)(x +1)

hope it helps

Final answer:

To factor quadratic expressions in general, we can use the AC Method, which involves breaking down the middle term and finding two numbers that multiply to give a certain product and add up to the coefficient of the middle term.

Explanation:

To factor quadratic expressions in general, we can use the method known as the AC Method. This method involves breaking down the middle term of the quadratic expression and finding two numbers that multiply to give a certain product (the product of the coefficient of the leading term and the constant term) and add up to the coefficient of the middle term. Once we find these two numbers, we can rewrite the quadratic expression as a product of two binomials.

For example, let's say we have the quadratic expression [tex]2x^2[/tex] + 5x + 3. The product of the leading coefficient (2) and the constant term (3) is 6. We need to find two numbers that multiply to 6 and add up to the coefficient of the middle term (5). The numbers 3 and 2 fit this criteria. Therefore, we can rewrite the quadratic expression as (2x + 3)(x + 1).

Note that if the quadratic expression cannot be factored using this method, it is considered a prime polynomial and cannot be factored further.

2x+3y=-5
3x-5y=21

The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution

Answers

The value of y would be -3.
Hope it helps.

Which step comes last when using the divide-center method to find the trend line on a scatterplot?

A Approximate the center of the cluster located on the left side of the line, and repeat for the right side of the line.

B Connect the two centers to produce the trend line.

C Disregard all outliers.

D Draw a vertical line so that each side has the same number of data points.

Answers

After you have the dots plotted, there are three steps to find the trend line on a scatter plot:
The first one is Draw a vertical line so that each side has the same number of data points.
The second one is mark with a special sign, the middle value in each of the two sets obtained in the previous step.
The third one is join the two marks mentioned in the point with a straight line, and extend it to the edges of the graph. This line called the trend line and this is the last step.
So the answer is letter B.

Answer: its B

Step-by-step explanation:

I know

Determine the common ratio and find the next three terms of the geometric sequence. 2/9, 2/3, 2,  ...
a. 3; 3/2, 9/2, 21/2
c. 1/3; 3/2, 9/2, 21/2
b. 3; 6, 18, 54
d. 1/3; 6, 18, 54

Answers

Answer:

The answer is B

Step-by-step explanation:

The next three terms of the geometric sequence are;

⇒ 6, 18, 54

And, The common ratio is,

⇒ 3

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The geometric sequence is,

⇒ 2/9, 2/3, 2,  ...

Now,

Since, The geometric sequence is,

⇒ 2/9, 2/3, 2,  ...

Hence, The common ratio = 2/3 ÷ 2/9

                                         = 2/3 × 9/2

                                         = 3

So, The next three terms are find as,

⇒ 2 × 3 = 6

⇒ 6 × 3 = 18

⇒ 18 × 3 = 54

Thus, The next three terms of the geometric sequence are;

⇒ 6, 18, 54

And, The common ratio = 3

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A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.

Answers

60/25 = 2.4

2.4 x 2 = 4.8 inches = 60 miles

25/2 = 12.5 for 1 inch

12.5/4 = 3.125 miles for 1/4 inch


In December, 2003, the average price for a gallon of regular gas in the United States was $1.50. (A) Gerald paid $12.60 for a tank of gas. How much did he pay?

Answers

Take $12.50 divided by $1.50= $8.40
So Gerald paid for 8.4 gallons of gas.

Answer:  He paid for 8.4 gallons.

Step-by-step explanation:

Since we have given that

Average price for a gallon of regular gas = $1.50

Amount paid for a tank of gas = $12.60

So, Number of gallons would be

[tex]\dfrac{\text{Total cost}}{\text{Average price}}\\\\\\=\dfrac{12.60}{1.50}\\\\\\=8.4\ gallons[/tex]

Hence, He paid for 8.4 gallons.

An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?

Answers

45% off....means u r paying 55%

55% of 40 = 0.55(40) = $ 22 <== sale price
Convert the percent into a decimal by moving the percent sign two places to the left and removing the % sign.

45% = 0.45

40 * 0.45 = 18

Subtract the discount amount from the original amount.

40 - 18 = 22

So, $22 is the answer.

Write the linear equation 5x-15y=-8 in slope-intercept form?

Answers

y=(1/3)x+(8/15). Just subtract the 5x over and then divide everything by -15 to get y by itself. 

what is the median of 2, 20, 19, 15, 11, 9, 7, 1

Answers

Put them in order and than cross out once from left and than from the right. Repeat till you end up with 1 number in the middle, if no number is left, add the last two you cross out and divide it by 2~

Ans: 10
Your (head) [tex]count [/tex]would be: [tex]8[/tex]

The  [tex]sum[/tex] would be [tex]84[/tex]

[tex] \frac{84}{8} = 10.5[/tex]

So, the [tex]mean[/tex]:  [tex]10.5 [/tex]

Your [tex]median[/tex] would be: [tex]10 [/tex]

Your [tex]mode[/tex] would be: [tex]2, 20, 19, 15, 11, 9, 7, 1[/tex]

Your answer: [tex]10 [/tex]

Good Luck on Your assignment! 

NEED HELP FAST!!!!!
4.
How many solutions does the equation 5p – 4p – 8 = –2 + 3 have? (5 points)


One

Two

None

Infinitely many

Answers

5p-4p-8=-2+3

Combine like terms
p-8= 1

Add 8 to both sides to isolate p
p=9

Final answer: 1 solution only, p=9
Hey!

First, let's write the problem.
[tex]5p-4p-8=-2+3[/tex]
Add like terms, [tex]5p-4p=p[/tex]
[tex]p-8=-2+3[/tex]
Add the numbers.
[tex]p-8=1[/tex]
Add 8 to both sides.
[tex]p-8+8=1+8[/tex]

Our final answer would be,
[tex]p=9[/tex]
This tells us that the equation [tex]5p-4p-8=-2+3[/tex] has one solution.

Thanks!
-TetraFish

Rectangle ABCD is shown above. Find the midpoint of diagonal AC. (Please Help Me Find The Answer)

Answers

Point A is (-3,1), C is (4,4)

MidPoint is ( (x1+x2)/2, (y1+y2)/2)

MP is (0.5, 2.5)
Other Questions
Before he attacked poland in 1939, adolf hitler agreed to a deal with (1) ____________ pledging he would not attack (2) ______________. Children should walk with adults until they are at least _______ years old. Your grandparents have both been interested in solving puzzles playing card games, watching educational television, and reading books. how do these activities affect the primary aging process You have a 20-foot ladder that you are using as you paint your house. You place the ladder so that it forms an angle of 30 at the point of contact between the ladder and the ground. How high will the top of the ladder be above the ground Glenda checks the computer monitors made at her company for defects. It has been shown that 0.5% of the monitors are defective. She decides to check several monitors and record if they are defective. Which of the following will make this process into a binomial experiment?- Glenda checks the monitors until she has 300 defective monitors.- Glenda checks 300 monitors and records the number that are defective until she gets greater than 0.5% defective monitors.- Glenda checks the monitors until she has 300 non-defective monitors.- Glenda chooses to check 300 monitors. Sleep reactivates recent experiences stored in the ________ and shifts them for permanent storage in the cortex. What is the output of the code snippet given below? string s = "aeiou"; int i = 0; do { system.out.print(s.substring(i, i + 1)); i++; if (i >= 3) { i = 5; } } while (i < 5);? What medium do performance artist use in their artwork that differentiates them from other types of arta.paintb.videoc.their bodies? According to Erikson, development occurs in A. random order. B. spurts. C. stages. D. no particular order. answer both questions if you cant see all the answers its fine all u need is the question An action taken by employers or by the government against workers who wanted to organize was A) collective bargaining B) boycotts How did Petrarchs work reflect the spirit of the Renaissance? What is the next value 1I2L3F4 Without plotting any points other than intercepts, draw a possible graph of the following polynomial: f(x) = (x + 8)3(x + 6)2(x + 2)(x 1)3(x 3)4(x 6). ) the length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3cm/s. when the length is 20 cm and the width is 10 cm, how fast is the area of the rectangle increasing? Information about movie ticket sales was printed in a movie magazine. in a sample of of fifty pg-rated movies, 36% had ticket sales in excess of $30,000,000. in a sample of thirty-five r-rated movies, 23% grossed over $30,000,000. suppose that this data is used to test the claim that the proportion of movies with ticket sales in excess of $30,000,000 is the same for pg movies as it is for r-rated movies. what would be the test statistic for this test? z = 1.29 z = 2.07 z = 4.005 z = 2.58 While sales contests can motivate employees at all levels to participate, a disadvantage of this method of sales promotion is that? A line passes through (2, 1) and (8, 4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers The largest European city which is not actually the capital of a country is?A. HamburgB. MilanC. BarcelonaD. Birmingham Describe the sequence of events in the 24 hours that surround the kidnapping Steam Workshop Downloader