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

What is the value of |-8|

Answers

Answer: 8

Step-by-step explanation:

The two parallel bars mean absolute value meaning the positive value of that number. The positive value of -8 is 8. Note that positive number in an absolute value bars reamin the same.

More examples: |9|=9

Have a nice day! :D

in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51

Answers

Your answer is:

C)  53

THANK YOU!!

Sidhdi

csc(x) = 2
solve this

Answers

Answer:

mathpapa.com

Step-by-step explanation:

Factorise the exprssions
x^2-ax-bx+ab

Answers

Answer:

[tex](x - a)(x - b)[/tex]

Step-By-Step Explanations:

1) Factor out the common term in the first two terms, then in the last two terms.

[tex]x(x - a) - b(x - a)[/tex]

2) Factor out the common term x - a.

[tex](x - a)(x - b)[/tex]

Therefor, the answer is ( x - a ) ( x - b ).

Solve for x. 5:1::6:x

Answers

Answer:

Step-by-step explanation:

5/1 = 6/x

5x = 6

x= 6/5

Answer:

x

=

15

Step-by-step explanation:

Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)

Answers

9514 1404 393

Answer:

  y = 7/3x +13/3

Step-by-step explanation:

The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/(-3/7) = 7/3

The y-intercept of the perpendicular line can be found from ...

  b = y -mx

  b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3

Then the slope-intercept equation of the perpendicular line is ...

  y = mx +b

  y = 7/3x +13/3

_____

Additional comment

You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...

  y -k = m(x -h)

For our perpendicular line, the equation is ...

  y +5 = 7/3(x +4)

Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!

Answers

9514 1404 393

Answer:

  9 square units

Step-by-step explanation:

Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...

  A = i + b/2 - 1

where i is the number of interior points (8), and b is the number of points on the border (4).

The area of this figure is ...

  A = 8 + 4/2 -1 = 9

The area of the polygon is 9 square units.

_____

You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.

1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y

Answers

Answer:

hmmmm i saw something about 13?????

Step-by-step explanation:

State if the triangle is acute, obtuse, or right ​

Answers

Answer:

right angle triangle

obtuse, using the Pithagorean Theorem we can deduce it is not a right triangle and since the result is bigger than that of a right triangle it is not acute

solve 3(2x + 1) in standard form

Answers

3(2x+1)
= 6x +3

Hope this helps!! :)

Answer:

3(2x+1)= 6x+3

Step-by-step explanation:

Since all you do is multiply 3 and 2x and 3 and 1 which is 6x+3

factorise p-q-x(q-p)​

Answers

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Please help, and I'll give brainliest! The following dot plot represents a random sample of elementary students and the number of children that live in their home.

Which of the following numbers is an outlier?
1
6
3
4
2

Answers

i have no idea what an outlier is maybe 1?

Answer:

2 is the outlier because if you look you cansee that 2 is the farthest away the other ones than the other ones!

Step-by-step explanation:

Does anyone know? Thank you!

Answers

4/3 and 6/5 set me as brainlyest plz

Answer:

4/3

if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25

is y+7=2x a direct variation

Answers

Answer:

No, y+7=2x does not represent direct variation

Step-by-step explanation:

No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.

y = 2x represents direct variation; y = 2x - 7 does not.

Complete the equations below.

Answers

Answer:

3.64 ÷ 7 = 364 hundredths ÷ 7

3.64 ÷ 7 = 52 hundredths

3.64 ÷ 7 = 0.52

Step-by-step explanation:

the point-slope for mhm of a line that has a slope of -2 and passes through point (5,-2) is shown below y+2=-2(x-5)

A. y=-2x+12
B. y=-2x+8
C. y=-2x-7
D. y=-2x-3

Answers

Answer:

y = -2x + 8 (B)

Step-by-step explanation:

Just expand y + 2 = -2(x-5)

y + 2 = -2x +10

y = -2x +8 (minus both sides by 2)

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

What would x equal( rounded to the nearest tenth)

Answers

You are given the opposite: 16 km
You need to find x (adjacent)
The angle measure: 28 degrees
With opposite and adjacent, use tangent
Tan(28) = 0.5317094317
Tan(28) = 16/x
x = 16/0.5317094317
x = 30.0916
Round to nearest tenth
Solution: x = 30.1 km
8.5 i think cause i used tan but i haven’t done this in a while

10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?

Answers

Answer:

Step-by-step explanation:

x=3

Which value for p makes the expressions 9p−5 and (3+p)5 equivalent?

a.7
b.6
C.5
D.4

Answers

Answer:

5

Step-by-step explanation:

9p-5

9(5)-5

45-5

40

(3+p)5

(3+5)5

(8)5

40

Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest

Answers

___________________________________

[tex]\huge\underline{\tt{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶- 3(5x + 6) - 3x = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶(-15x - 18) - 3x = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶( - 15x - 3x)- 18 = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶( - 18x)- 18 = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶( - 18x) + 6x = 6 + 18}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶-12x = 24}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶\frac{-12x}{-12} = \frac{24}{-12} }[/tex]

[tex]\quad\quad\quad\quad\tt{ ⟶\frac{ \cancel{ \red{-12}} \: x}{ \cancel{ \red{-12}}} = \frac{24}{-12} }[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed{\tt{x = -2}}[/tex]

[tex]\huge\underline{\tt{\red{Answer:}}}[/tex]

[tex] \huge\quad\quad \underline{\red {\boxed{ \tt{x = -2}}}}[/tex]

___________________________________

#CarryOnLearning

✍︎ C.Rose❀

2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.​

Answers

Answer:

replace x with number then multiply or divide

Step-by-step explanation:

The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS

Answers

Answer:

your answer will be C. y = x-4

Step-by-step explanation:

hope it helps you...

HELP URGENT!!!!! 50 POINTS

Answers

6/1.5=4

is the scale factor for the smaller triangle to the bigger triangle

Answer:

6/1.5=4

Step-by-step explanation:

When written in factored form, 6w^2-11w−2 is equivalent to

Answers

Answer:

(6w+1)(w-2)

Step-by-step explanation:

Answer:

13w - 2

Step-by-step explanation:

6w² - 11w - 2

24w - 11w - 2

13w - 2

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272

Answers

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

Answer:

b on edg

Step-by-step explanation:

I need the answer pliss​

Answers

Answer:

Im sorry never did this before

Which expression is equivalent to 5(n + 7)?

Answers

5n + 35!!

All you can do is simplify by removing the brackets through the distributive property. This gives you another equivalent equation.

what is a reasonable estimate of the probability that the next tucker family vacation lasts less than 3 days?

Answers

Answer:

i cant estimate it but i think 4

A coordinate grid has a scale of 1
unit = 100 miles. How far apart, in
miles, are points (-3, 2) and (-3,
12)?

Answers

Answer:

It should be 1000 miles

Step-by-step explanation:

If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.

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