Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Part A: Write an equation where the solution represents the amount of money (x), in dollars, Craig has after Michael buys the hat. Explain how you came to this equation. Part B: Now, Craig buys some socks. He has $16 left. Write an equation where the solution represents the amount of money (y), in dollars Craig spent on socks. Show how you know this is the correct equation.

Answers

Answer 1

Answer:

a) x + 4 = 48

b) y + 16 = 44

Step-by-step explanation:

a) Michael has $28 and Craig has $24 less than Michael. Let x represent the amount of money that Craig has. Hence:

x = 68 - 24

x + 24 = 68

Given that Michael spends $20 on a new hat. Therefore we subtract 30 from both sides of the equation:

x + 24 - 20 = 68 - 20

x + 4 = 48

x = $44

b) If y represent the amount of money that Craig spent on buying socks. He has 16 remaining.

Therefore:

44 - y = 16

y + 16 = 44

y = $28


Related Questions

Pilar made 6 quarts of orange marmalade to store in jars. If she puts 1/4 quart of marmalade into each jar how many jars will she need

Answers

Answer: 24

Step-by-step explanation:

Given

Pilar made 6 quarts of orange marmalade

If each jar stores [tex]\frac{1}{4}\ \text{or}\ 0.25[/tex] quart of marmalade then

No of jars required to store marmalade is

[tex]\Rightarrow n=\dfrac{6}{\frac{1}{4}}=\dfrac{6\times 4}{1}=24\ \text{jars}[/tex]

Answer:

24

Step-by-step explanation:

Okay she got 6 quarts of orange marmalade and she pouring 1/4 quarts into a jar.

I will draw out the problem for you

1/4 + 1/4 +1/4 + 1/4 = 1 quart

1/4 + 1/4 +1/4 + 1/4 = 2 quart

1/4 + 1/4 +1/4 + 1/4 = 3 quart

1/4 + 1/4 +1/4 + 1/4 = 4 quart

1/4 + 1/4 +1/4 + 1/4 = 5 quart

1/4 + 1/4 +1/4 + 1/4 = 6 quart

and if u count all the 1/4 in the thing I just type, it will be 24

Lindsay infers that out of 400 people,300 would prefer to watch movies in a theater. Is her inference valid?

Answers

Theater: 30
Streaming: 62
DVD: 8
( this information was given in a table but I couldn't do that here)
Please mark brainliest

Mr. Gibbs bought number of shirts for the new members of his band. The cost for number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. How many shirts did Mr. Gibbs buy?

Answers

Answer:

Number of shirts= 6

Step-by-step explanation:

Giving the following information:

The cost for several shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25.

First, we need to calculate the net total price paid  for the shirts:

Net total cost= 77.49 - 3.99= $73.5

Now, the number of shirts bought:

Number of shirts= 73.5 / 12.25

Number of shirts= 6


Ned has two cookies. One cookie weighs 1.75 ounces, and the other cookie weighs 1.375 ounces. Which statement correctly compares
and describes the weights of the two cookies?

Answers

Answer:

i think that it is 3.125

Step-by-step explanation:

because 1.75 + 1.375 =3.125

What is the equivalent expression for 4 + 2(b + 3).

Answers

Answer:

6b+18

Step-by-step explanation:

4×b= 4b

4×3=12

2×b=2b

2×3=6

(combine like terms)

4b+2b=6b

12+6=18

Hope this helped!

The equivalent value of the expression is A = 2b + 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 4 + 2 ( b + 3 )

On simplifying the equation , we get

A = 4 + 2b + 6

A = 2b + 10

Hence , the expression is A = 2b + 10

To learn more about equations click :

https://brainly.com/question/19297665

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Of all the students enrolled in the school of arts who responded, approximately what proportion responded that they play video games?

Answers

Answer:

is there anyother information

Step-by-step explanation:

is there anyother information

WILL GIVE BRAINLEST

Keisha conducts a survey to determine how many siblings each of her classmates has. The data are shown below.

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2

What is the mean value of Keisha’s data?
A. 0.75
B. 1
C. 1.3¯
D. 2

Answers

Answer:

c

Step-by-step explanation:a

add up 0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2

Answer:

C. 1.3

Step-by-step explanation:

0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 4

To find the mean, or average, we add up all the numbers to get the total number of siblings (16), and divide by the number of classmates she surveyed (12). 16/12 = 1.3

Please LMK if you have questions. Have a good day.

Please look at the picture I need help please answer!!!!???

Answers

Answer:

16t

Step-by-step explanation:

Answer:

The answer is 8 tons.

16,000 lbs = 8 T

help no wrong answers pls

Answers

Answer: the answer is 7 1/9

Step-by-step explanation:

Please help me!
[One Step Inequalities]

Answers

Answer:

x<12

Step-by-step explanation:

Hello There!

For this problem we want to isolate the variable using inverse operations

So to get rid of the -3 we add 3 but whatever we do to one side we have to do to the other so we add 3 to both sides

-3+3 cancels out

9+3=12

we're left with

x<12

Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles everyday from now on. The total number of miles walked y can be represented by y=2.5x+5 where x is the number of days walkef

Answers

Answer:

The  answer is below

Step-by-step explanation:

Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles every day from now on. The total number of miles walked y can be represented by y = 2.5x + 5, where x is the number days walked after today. a. State the x- and y-intercepts and then graph the equation. b. Interpret the x- and y-intercepts.

Solution:

The equation for a linear function is given by:

y = mx + b; where m is the slope of the function and b is the y intercept.

Given the equation y = 2.5x + 5, the y and x intercept can be found by substituting x = 0 and y = 0. Hence:

a) x intercept is the value of x when y = 0. Therefore:

0 = 2.5x + 5

2.5x = -5

x = -2

y intercept is the value of y when x = 0. Therefore:

y = 2.5(0) + 5

y = 5

b) The x-intercept is at the point (–2, 0). But there cannot be a negative number of days walked, hence the x intercept does not apply in this situation.

The y intercept is at the point (0, 5). This means that Yosune has initially walked her dog 5 miles.

1. A Pentagon has interior angles of 70°, 130°, 115° and 110°. What is the measure of the 5th angle?

2. What is the name of a triangle whose interior angles are 45°, 45° and 90°?

3. What is the measure of an exterior angle adjacent to a 75° interior angle?

Answers

#2 is isosceles

#3 is 105°


How many cubes with side lengths of 1/3
cm does it take to fill the prism?

Answers

Answer:

48 cubes

Step-by-step explanation:

You could fit these cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm x 2 2/3 cm x 2/3 cm.

Add.

(−5x4+6x3−43)+(6x5−x2+12x+12)



Express the answer in standard form.

Enter your answer in the box.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 6x^5 - 5x^4 - x^2 + 12x - 31

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

he measurements of two sides of a triangle are 4 cm and 20 cm. What could be a measurement of the third side of the triangle?

Answers

Answer:

80

Step-by-step explanation:

every triangle adds up to 180 sort of, in this case, turn 4 into 40. 40+20=60 so add 80 to be 180!!!

Can someone help me pls thanks

Answers

Answer:

x = 1/2QN^2

Step-by-step explanation:

Mark ran for 15 minutes. How many seconds did Mark run? (1 minute = 60 seconds) seconds

Answers

Answer:

900

Step-by-step explanation:

Answer:

900 seconds

Step-by-step explanation:

in direct variation, how are the constant of variation and the slope related?​

Answers

The constant of variation and the slope are equal to each other.

Joshua made a quilt for his cousin's doll. The quilt had an 8 × 8 array of different color square patches. If each patch is 2 2 3 in long, what is the area of the whole quilt?

Answers

Answer:

[tex]Area = 455.11\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Patches = 8\ by\ 8[/tex]

[tex]Length = 2\frac{2}{3}\ in[/tex] each

Required

The area of the quilt

First, calculate the length of the quilt.

[tex]Length = 8 * 2\frac{2}{3}[/tex]

[tex]Length = 8 * \frac{8}{3}[/tex]

[tex]Length = \frac{64}{3}[/tex]

Next, the width

[tex]Width= 8 * 2\frac{2}{3}[/tex]

[tex]Width= 8 * \frac{8}{3}[/tex]

[tex]Width = \frac{64}{3}[/tex]

The area is then calculated using:

[tex]Area = \frac{64}{3} * \frac{64}{3}[/tex] i.e. Length * Width

[tex]Area = \frac{4096}{9}in^2[/tex]

[tex]Area = 455.11\ in^2[/tex] --- approximated

What is the percent increase when 7,200 increases by 1,800?
20 percent
25 percent
O 54 percent
O 80 percent

Answers

Answer:

25%

Step-by-step explanation:

To find the percent increase, take the increase amount over the original amount

1800/7200

.25

Multiply by 100 to get a percent

25%

 

25 percent    

7200 divided by 1800 is 25

HOPE THIS HELPS

Dax is buying hot chocolate for 5 people in his office (including himself). He pays for the 5 drinks and leaves a $2.00 tip.

If the total, with tip, is $18.25, how much is each cup of hot chocolate?

Enter your answer as a decimal, like this: 42.53

Answers

Answer: Each cup of hot chocolate is $3.25

Step-by-step explanation:

What is the following sum of 3/10 + 39/100

Answers

Answer:

.69 is the answer to the question

I'm lowkey lost lol, :)

Answers

Answer:

A. 0, 2/3

Step-by-step explanation:

The X axis will be 0 and the y axis will be less than 0 so the only answer that fits this description is C

Which quadratic inequality does the graph below represent?
y>x^2-3
y y y>x^2+3

Answers

Answer:

Third one

Step-by-step explanation:

the y intercept is -3 meaning it equals, leaving 1 or 3

and it’s the smallest y number so it has to be 3

Sorry for who ever uploaded the disturbing photos :(

Hope this help and have a nice day!

I’ll continue to report the, as I have all day and will contact Brainly again since this is another account

Here’s a cute dog image to remove the other photo from mind

Answer:

c

Step-by-step explanation:

edge 2020

The area of the rectangular computer chip is 112a3b2 square microns. Write a simplified expression that represents the length. The length is ? microns.

Answers

Question:

The area of a rectangular computer chip is 112a^3b^2 square microns. Write a simplified expression that represents the length, if the width is 8ab

Answer:

[tex]Length = 14a^2b[/tex]

Step-by-step explanation:

Given

[tex]Area = 112a^3b^2[/tex]

[tex]Width = 8ab[/tex]

Required

Determine the height

Area is calculated as:

[tex]Area = Length * Width[/tex]

Make Length the subject

[tex]Length = \frac{Area}{Width}[/tex]

[tex]Length = \frac{112a^3b^2}{8ab}[/tex]

[tex]Length = \frac{14a^3b^2}{ab}[/tex]

Apply law of indices

[tex]Length = 14a^{3-1}b^{2-1}[/tex]

[tex]Length = 14a^2b[/tex]

A DVD has a diameter of 12 centimeters. What is the area of the DVD? Round your answer to the nearest hundredth. Use 3.14 for π.

Answers

Answer:

area = 113.04 cm²

Step-by-step explanation:

radius = 12/2 = 6

area = πr² = 3.14(6²) = 113.04 cm²

Area= 113.04 is the answer

Find the missing side lengths. All answers should be in fully simplified form.
a=?
b?

Answers

Answer:

a=8 b=6

Step-by-step explanation:

Using the Pythagorean theorem, a^2+b^2=c^2, and in this case, a^2+b^2=10^2 = 100

so a^2+b^2=100

8^2+6^2=100

64+36=100 ✔

and since A is longer than B, a=8, b=6

Answer: a= [tex]5\sqrt{3}[/tex] b= 5

Step-by-step explanation:

sin 60=a/10

[tex]\frac{\sqrt{3} }{2}[/tex]=a/10

[tex]10\frac{\sqrt{3} }{2} =a[/tex]

[tex]5\sqrt{3}=a[/tex]

cos 60=b/10

.5=b/10

5=b

1. Bernardo de Gálvez was a friend to the United States. He helped in providing _____________ and weapons.

Answers

Galvez allowed shipments of weapons, medicine and fabric for military uniforms to be sent to the Continental Army via the Mississippi

the population of a city can be modeled using the equation p = 40,000(9/10)^x. One year the population was 23,620. What was the population a year later?

Answers

The population a year later was 40,000

The angles of a triangles are x°, 3x° and 30°. When asked to solve for x, Alvi shows the work in post-it A below. Brian shows the work in post-it B below. Who is correct and why? Why mistake did the incorrect person make?

that is the pic for post it a.
the post it b said

x + 3x + 30 = 180
4x + 30 = 180
4x = 150
x = 37.5

Answers

Answer:

See explanation

Step-by-step explanation:

OK.  Alvi is incorrect because he didn't add the measures of all 3 angles of the triangle, whereas Brian did.  So, Brian is correct and Alvi needs to work on that kind of problem.

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