Miguel and Beth like to play video games together. Miguel has m video games, and Beth has b video games. Miguel has
4 more video games than Beth, and together they have a total of 24 video games. Which system of equations can be
used to find how many video games belong to each friend?

Answers

Answer 1

Answer:

Miguel has video games = 14

Beth has video games = 10

Step-by-step explanation:

Miguel has video games = m

Beth has video games = b

We make the equations:

m=b+4 (Miguel has  4 more video games than Beth)

m+b=24 (together they have a total of 24 video games)

So, the system of equations is:

[tex]m=b+4\\m+b=24[/tex]

Now, solving these system of equations to find values of m and b

Let:

[tex]m=b+4--eq(1)\\m+b=24--eq(2)[/tex]

Put value of m from equation 1 into equation 2

[tex]m+b=24\\b+4+b=24\\2b=24-4\\2b=20\\b=\frac{20}{2}\\b=10[/tex]

We get value of b: b=10

Now, finding value of m by putting value of b in equation 1

[tex]m=b+4\\m=10+4\\m=14[/tex]

So, We get value of m: m= 14

Therefore:

Miguel has video games = m = 14

Beth has video games = b = 10

Answer 2

Answer:

m+b=24

m=b+4

Step-by-step explanation:

on edg


Related Questions

Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet.
• He can travel forward (positive 5, 6, 8)
• backward negative (-5, -6-8)
can go past the ladder and come back.
.
Show TWO number expressions that will represent a way for Cecil to cross a tightrope of
12 feet. ONE way MUST use a negative.
Edit
View
Insert
Format no
Tools
Table
12pt
Paragraph
В І
2
T²V
:

Answers

Answer:

The two expressions are;

1) -8 ft. + 3 × 6 ft. = 12 feet

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Step-by-step explanation:

The given parameters are;

The lengths in feet Cecil can travel = 5 feet, 6 feet, and 8 feet

The distances Cecil can travel forward = (positive 5, 6, 8)

Backwards Cecil can travel distances of (-5, -6, -8)

Cecil can go forward past the ladder and return back

Therefore, the number expressions by which Cecil can cross a tightrope 12 feet long are;

1) -8 ft. + 3 × 6 ft. = 12 feet

Which is to go back 8 feet and then to go forward 6 feet three times

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Which is to go back 6 feet then to go forward in 5 feet two times and then in forward again in 8 feet.

What is the approximate perimeter of △DEF?

75.2 cm
161.1 cm
182.5 cm
1028.5 cm

A right triangle labeled D E F with side D F labeled eighty centimeters. angle D labeled seventy degrees, and angle E a right angle

Answers

Answer:

C) 182.5

Step-by-step explanation:

i just took the test

C to the power of 5 x c

Answers

Answer:

c to the power of 5 x c = c⁶

Step-by-step explanation:

We need to find the expression for c to the power of 5 x c.

c to power 5 is : c⁵

Now, multiply c⁵ and c.

c⁵ × c = c⁵⁺¹

= c⁶

So, the final expression is c⁶. Hence, this is the required solution.

Answer:

Step-by-step explanation:

c to the power of 6

p(x-3)= -x³+cx²-4x+3

Answers

Answer:

p= −x^3−x^2c+4x−3/x−3

c= p/x− 3p/x^2 +x +4/x−3/x^2

Step-by-step explanation:

I hope this helps!!! I have no idea what you were trying to find so I put the value of p and c so I hope this helps you :)

Answer:

c=4

Step-by-step explanation:

Find the value of c so that the polynomial p(x) is divisible by (x−3)

p(x)=−x^3+cx^2 −4x+3

if p is p(3)=-(3)^3 +c(3)^2 -4(3) +3

simplify p(3)= -27+9c -12 +3

combine p(3)=-36+9c

get c alone -9c=-36

divide c=4

The graph of a system of equations will intersect at more than 1 point.

Always
Sometimes
Never

Answers

Answer:

sometimes

Step-by-step explanation:

Answer:

Sometimes

Explanation:

If a rectangular prism was 5 feet long, 5 feet high and 6 feet deep, how much would it weigh if one cubic foot weighed 0.1 tons?

Answers

Answer:

Total weight = 1,500 tons

Step-by-step explanation:

Given:

l = 5 ft

b = 5 ft

h = 6 ft

One cubic foot weighed = 0.1 tons

Find:

Total weight

Computation:

Volume = lbh

Volume = (5)(5)(6)

Volume = 150 ft³

Total weight = Volume / 0.1

Total weight = 150 / 0.1

Total weight = 1,500 tons

Question: What is the slope of the equation: x + 2y = 6

Answers:
m= -1/2
m=3
m= 1/3

if you don't know please don't Guess :(

Answers

m=-1/2 is the slope

x+2y=6
2y=-x+6
y=-1/2x+6

y=mx+b

m is slope

could someone please answer this question for me asap pls :)

Answers

Step-by-step explanation:

3/2=x/1

3=2x

x=3/2

x=1.5

so the unit rate of price per melon is 1.5

Answer:

Step-by-step explanation:

unit rate is another way of saying  "slope of the line"

3/2 is the slope of the line..just from inspection of the graph

1.5  is another way to say  3/2  and that's how me might normally say the cost of one watermelon... it's a  $1.50 so the unit rate is 1.5 units.. and here the units are dollars

Select the reason that supports the following statement?

Answers

Answer:

C

Step-by-step explanation:

I think the correct answer would be C since you are using lines and angles but I am not 100 percent sure. Also because A and B wouldn't make since because it is adding.

Heart, 5 stars, and Brainliest if Correct!
Which method of heat transfer can take place without matter?

Answers

Answer:

is conduction the correct answer?

The average of two numbers is 15. One of the numbers is 10. What is the other number

Answers

Answer:

The other number is 20.

Step-by-step explanation:

[tex]\frac{10 + x}{2} = 15[/tex]

Multiply each side by 2.

[tex]10 + x = 30[/tex]

Subtract 10 from each side.

[tex]x = 20[/tex]

There you go!

15 sorry that’s all I know

I don’t understand so please HELPPPPPPPPPPP

Answers

Answer:

The missing angle is 50 and x=6

Step-by-step explanation:

So if all three angles of a triangle add up to 180 degrees, you would simply subtract 180-70-60 to find the missing angle, and from there you put in the equation 8x+2=50, you would do a step by step process get the x by itself on one side. first subtract 2 from both sides to remove it from one, making the equation 8x=48 and than divide both sides by 8 to remove it from the x making the answer x=6. :3

Answer:

x=6

Step-by-step explanation:

Ok so to do this you need to know if you add up all the sides of a triangle [This is for triangles] you get 180 every time.

So you already have two given angels. 70 and 60.

Lets make it an equation.

70+60+8x+2=180

It looks long and hard but we can simplify this if we go ahead and add up all the common factors. In this case would be all the numbers with no variables.

132+8x=180

You don't add the 180 because its on the opposite side of the equation.

Now you need to get the variable alone. To do that you need to do the opposite operation. In this case, that would be subtraction

132(-132)+8x=180(-132)

8x=48

Divide the 8.

x=6

8(6)+2=50

please solve this...question..it may come in my exam.#math problem fast solve it and help me​

Answers

Answer:

n + y

Step-by-step explanation:

a² - b² = (a +b)(a - b)

[tex]\frac{n^{2}-y^{2}}{n+y}[/tex] ÷ [tex]\frac{n - y }{n + y } = \frac{(n + y)(n - y)}{(n + y)}*\frac{(n + y)}{(n - y)}\\\\[/tex]    

    { (n + y) in the denominator and numerator will be cancelled ;

       (n - y) in the denominator and numerator will be cancelled

                    = n + y

write the fraction 32/40 in simplest form

Answers

Answer:

4/5

Step-by-step explanation:

32/40

Both can be divisible by 4

32 ÷ 4 = 8

40 ÷ 4 = 10

8/10

8 and 10 can be simplified again by 2

8 ÷ 2 = 4

10 ÷ 2 = 5

4/5

This cannot be simplified anymore, to check just divide.

32/40 = 0.8

4/5 = 0.8

The simplified form of 32/40 is 4/5.

How to simplify the fraction 32/40

To simplify the fraction 32/40, we can find the greatest common divisor (GCD) of the numerator (32) and denominator (40) and divide both by that value.

The GCD of 32 and 40 is 8. By dividing both the numerator and denominator by 8, we can simplify the fraction:

32 ÷ 8 = 4

40 ÷ 8 = 5

Therefore, the simplified form of 32/40 is 4/5.

Learn more about fraction at https://brainly.com/question/78672

#SPJ6

one coin has a mass of 13 grams what is the mass of 10 coins?

Answers

Answer:

130 grams

Step-by-step explanation:

1:13

10:130

HELP FAST PLEASE!!!
50 POINTS FOR WHOEVER ANSWERS FIRST!!!
What is the exponent in the expression 76?
a.6
b.7
c.13
d.42

Answers

Step-by-step explanation:

If you mean 7⁶, the exponent is 6. (A)

When written as a^m, a is a number and m is the exponent.

i believe the answer is A for the exponent of 76

The table below represents a function. Write a number from the given values below to complete the table of values.

Answers

Answer:

Step-by-step explanation:

Find area of shaded region if
Theta = 60°
Radius (r = 5cm)​

Answers

Answer:

≈ 13.1 cm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{60}{360}[/tex]

   = π × 5² × [tex]\frac{1}{6}[/tex]

   = 25π ÷ 6

   ≈ 13.1 cm² ( to 1 dec. place )

Answer:

area = 13.1 cm²

Step-by-step explanation:

area of sector formulae:

[tex] \frac{theta}{360} \times \pi {r}^{2} [/tex]

theta = 60°

radius = 5 cm

π = 22/7

substitute the values into the formulae

[tex] \frac{60}{360} \times \frac{22}{7} \times {5}^{2} [/tex]

[tex] \frac{1}{6} \times \frac{22}{7} \times 25[/tex]

[tex] \frac{1}{6} \times \frac{25 \times 22}{7} [/tex]

[tex] \frac{1}{6} \times \frac{550}{7} [/tex]

[tex] \frac{550 \times 1}{6 \times 7} [/tex]

[tex] \frac{550}{42} [/tex]

[tex]13.1 \: cm {}^{2} [/tex]

The table shows the participation in a school's debate club during the last four years.
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth? By what percent did it grow?
Round to the nearest percent. Use the drop-down menus to show and explain your answer.
The greatest growth was between years
and
The growth between those years was about

Answers

Answer:

Greatest growth was between : year 3 and year 4

Percentage growth was about 32%

Step-by-step explanation:

Given the data:

Year : ______1 ____ 2 _____ 3 _______ 4

Students: __ 14 ___ 19 _____ 25 ______ 33

Number of students :

Year 1 & year 2 = 19 - 14 = 5

Year 2 & year 3 = 25 - 19 = 6

Year 3 & year 4 = 33 - 25 = 8

Hence,The two years at which the greatest growth was observed is between year 3 and year 4.

Percentage growth :

((33 - 25) / 25) * 100%

(8 / 25) * 100%

0.32 * 100%

= 32%

James and Sylvie need to paint the line around the outside of a soccer field. To know how much paint to buy, they must find the perimeter of the field. James claims, “I can calculate the perimeter by using the formula P = 2(l + w) .” Sylvie replied, “That’s not right. The correct formula is
P = 2l + 2w .” Who is correct? Provide evidence to support your answer.

Answers

Answer:

Both of them are correct.

The perimeter is found by adding up all four sides. If you notice, one of them is width and one of them is length. A rectangle has four sides, two width and two length.

l= length and w=width so P=2l+2w.

But, we can combine them by factorizing 2l+2w.

Lets see what we can pull out. We can only pull out 2.

2(l+w)=2l+2w.

2(l+w)=P

Both of them are correct.

Hope this helps plz hit the crown :D

Select all equations that are true. A. 9 . 21 × 10 3 = 921 B. 9 . 21 × 10 1 = 92 . 1 C. 0 . 921 × 100 = 921 D. 0 . 921 × 10 4 = 9 , 210 E. 0 . 0921 × 10 2 = 9 . 21

Answers

Answer:

Option BOption DOption E

Step-by-step explanation:

Option A

9.21 * 10³ = 9,210 ≠ 921

Option A is FALSE.

Option B

9.21 * 10¹ = 92.1

Option B is TRUE.

Option C

0.921 * 100 = 92.1 ≠ 921

Option C is FALSE

Option D

0.921 * 10⁴ = 9,210

Option D is TRUE

Option E

0.0921 * 10² = 9.21

Option E is TRUE

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.
Function A
Function B
3
6
on
12
15
y
9
y 5
10
15
20
25
8
7
6
5
4
3
2
1
0 1 2 3
4
5
6
7
8
9
Function
is linear
X+
Its equation is y

Answers

Answer: A

1.67       5

Step-by-step explanation:

The ratio of a number and 4 into a algebraic phrase

Answers

Answer:

x : 4

Step-by-step explanation:

The ratio of a number and 4 into algebraic phrase ;

Let the number = x

Expressing the number and 4 as a ratio in algebraic phrase will be written as :

Number : 4

x : 4

I need help! Plzzzz
Let P(x) = 25(x + 2)2 – 2500.
1) Show that P(x) = 25(x-8)(x + 12).
2) Solve P(x) = 0.
3) MNPQ and QRST are two squares such that:
MN = 4(x + 2) and MR = (x + 2) (x > 0).
Let S be the area of MNPQ and S' the area of QRST.
a) Show that: S+S' = 25(x + 2)2
b) Calculate the value of x, if S + S' = 2500.​

Answers

Answer:

i've inserted 3 pictures. make sure you see each one of them :)

Step-by-step explanation:

HELP ASAP
Solve for x: |x| -8 = -5
Is it
A X=-13 and x =-3
B X=3 and x=-3
C X=3 and x= 13
D No solution

Answers

Step-by-step explanation:

x-8=-5

x=-5+8

x=3

...I think the answer is no solution..

Pls solve... will give brainliest... linear inequality

no need to fill name etc...

just answer questions

Answers

Here is another one of the answers in case you needed it!

I neeeddd helppppppppp

Answers

Answer:

4.

Step-by-step explanation:

A and D are opposite.

A is in the negative side and d is in the positive side.

Given that lines q and r are parallel lines, and m 23 = 123°, find
other angle measures:

Answers

Step-by-step explanation:

even though it is not the only thing that has to do with it all in

plssss help me it’s really important!!!

Answers

Answer:

B

Step-by-step explanation:

Since ∠ E = ∠ F then the triangle is isosceles and DF = DE, that is

6x = x + 2y ( subtract x from both sides )

5x = 2y ( subtract 2y from both sides )

5x - 2y = 0 → (1)

and perimeter = 29, that is

6x x + 2y + 5x - y = 29 , simplifying

12x + y = 29 → (2)

Multiply (2) by 2

24x + 2y = 58 → (3)

Add (1) and (3) term by term to eliminate y, that is

29x = 58 ( divide both sides by 29 )

x = 2

Substitute x = 2 into (2) and evaluate for y

12(2) + y = 29

24 + y = 29 ( subtract 24 from both sides )

y = 5

Thus

FE = 5x - y = 5(2) - 5 = 10 - 5 = 5 → B

1. How many 3/4s are in 2? Write a multiplication equation and a division equation that can be used to answer the question. Write the equation using the "WIRIS editor" button

Answers

Answer:

We have 2 2/3 ( 3/4s) in 2

Step-by-step explanation:

How many 3/4s are in 2? Write a multiplication equation and a division equation that can be used to answer the question.

a) Multiplication equation

= 2 × 4/3

= 8/3

= 2 2/3

b) Division Equation

= 2 ÷ 3/4

= 2 × 4/3

= 8/3

= 2 2/3

Other Questions
What is the difference between static frication and kinetic friction What kind of waves are present during an earthquake? ...What kind of energy does an unlit match have? ...Which of these is another way to write Newton's second law of motion? ...What is it called when light changes direction after leaving a lens? ...How do you calculate density? Booker T. Washington pushed for equality immediatelyTrueFalse Helpppppppppppppppppppppplpp List 5 ways music can be used: Why are rockets important to the space program? Answer choices for the above question Rockets are what blast off from Kennedy Space Center. A rocket is the cheapest piece of space equipment. Rockets are what carry the payload into space. A rocket was used for the Apollo moon landing. Which statement best explains the relationship betweenlines FG and HJ?V2O They are perpendicular because their slopes areequalThey are perpendicular because their slopes arenegative reciprocals.O They are not perpendicular because their slopes areequal.They are not perpendicular because their slopes arenot negative reciprocals. During January, its first month of operations, Dieker Company accumulated the following manufacturing costs: raw materials $5,800 on account, factory labor $7,300 of which $5,500 relates to factory wages payable and $1,800 relates to payroll taxes payable, and factory utilities payable $2,100. Prepare separate journal entries for each type of manufacturing cost. someone help please :) Answer question in the picture for brainliest and 10 points. The equation modeling the population growth of a small town is P(t)=30000(1.02)^t, where P represents the population, and t represents the years from now. What is the approximate population change that occurs between 2 years from now and 10 years from now. PLssssss HELPPPPPPP will GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!Mr. Mayhood had 4 pounds of sand in a bucket. He put 2 poundsof sand around his flower bed. How much sand did he have left in thebucket? ________ Is the largest industry In the world.O TechnologyO Travel and tourismO ManufacturingO Education I WILL GIVE BRAINLIEST. HURRY PLEASE According to the passage, what have experimental psychologists discovered about the fantastically skilled manipulations we perform with our insides (paragraph 3)?A. They operate differently from person to person.B. They work more efficiently in animals than in humans.C. They are best left to the automatic control of the body.D. They can be controlled through guided practice. If another equation is graphed so that the system has no solution, which equation could that be?y=-2(x-1/2) y=-1/2(4x+2)y=-x+1 y=-1/2x+2 write a function G whose graph represents the indicated transformation of the graph f[tex]f(x) = \frac{2}{3} {x}^{2} + 2[/tex]vertical stretch by a factor of 3 What caused the first stage of the Commercial Revolution in Europe? How do Grutter and Gratz reaffirm Bakke? Isaac is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $1.50 per mile driven. Company B charges an initial fee of $45 for the rental plus $2.50 per mile driven. Let A represent the amount Company A would charge if Isaac drives x miles, and let B represent the amount Company B would charge if Isaac drives x miles. Write an equation for each situation, in terms of x, and determine the interval of miles driven, x, for which Company A is cheaper than Company B. Steam Workshop Downloader