1. A hat store tracks the state of college and professional team hats for m, months. The number of
college hats sold is represented by (6m+3). The number of professional hats sold is represented by
(5m-2). Write an expressions to show how many more college hats were sold than professional hats.
Then evaluate the expression if m equals 10.
NYS
2. Which expression is equivalents to the expression -3(4x-2)-
2x ? Explain the process you used to find your solution.
A. -8x
B. -16%
C. -14x-2
D. -14x + 6
3. A square scrapbooking page has a perimeter of (8x+20) inches. What is the length of one side of the
scrapbooking page? Show your work.

Answers

Answer 1

1)  The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]

when  [tex]m=10[/tex], [tex]15[/tex] more college hats were sold

2)  The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below

3) The length of one side of the square scrapbooking page will be

[tex](2x+5)\text{ inches}[/tex]. The working is shown below.

1)    According to the question, [tex]m[/tex] is the number of months hats were sold.

[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months

[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months

Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]

the expression representing how many more college hats were sold than professional hats is

[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]

when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and

[tex]m+5=(10)+5=15hats[/tex]

[tex]15[/tex] more college hats were sold in [tex]10[/tex] months

2)  To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below

remove brackets

[tex]-12x+6-2x[/tex]

arrange like terms

[tex]-12x-2x+6[/tex]

simplify like terms

[tex]-14x+6[/tex]

The answer is (D)

3)  Let the length of one side of the square be [tex]s[/tex]

The perimeter will be  

[tex]4s=8x+20[/tex]

making [tex]s[/tex] the subject of the formula

[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]

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Related Questions

Which is the graph of 2x-4y>6?

Answers

Solving for x :-

2x - 4y > 6

=》x - 2y > 3

=》x > 3 + 2y

Solving for y :-

2x - 4y > 6

=》x - 2y > 3

=》y < x - 3/2

■ See the attachment for the graph. Since you have not shared the graphs..any graph which looks like this in your question is the correct one.

____

Hope it helps ⚜

ILL GIVE BRAINLIEST
ALGEBRA 2 There are several methods for solving quadratic equations. But why don’t we use the same method every time? Wouldn’t that be easier?
What is your preferred method for solving quadratic equations? Describe the method in your own words and explain why you prefer it over the other methods.
What are the limitations of your preferred method?
Please follow these guidelines for your discussion posts:

Write at least 150–300 words.

Answers

Answer:

See below

Step-by-step explanation:

I'll provide an example to help you. Let's say we were solving [tex]x^2+5x-7=0[/tex] and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.

Now let's do another one. [tex]x^2+5x+6=0[/tex] for example can be written as [tex](x+2)(x+3)=0[/tex] and we can easily get [tex]x=-2[/tex] and [tex]x=-3[/tex] as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.

Hopefully, this explanation helps you to think of your discussion post!

Carol wants to make a sculpture using brass and aluminum, with the dimensions shown below, Aluno Bree The area of the aluminum section can be found using the equation 1 1 А zah - 1 3 bh 2 Which of the following shows the aluminum section's area formula solved for me A h=2A(a - b) B. 2A h= ab С. A h= 2(a - b) D. h Ala-b) 2​

Answers

The aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

From the complete question, the expression of the area (A) in terms of variables a, b and h is:

[tex]A = ah - bh[/tex]

Factor out h from the expression on the right-hand side

[tex]A = h(a - b)[/tex]

Divide both sides of the equation by (a - b)

[tex]\frac{A}{(a - b)} = h[/tex]

Remove the bracket

[tex]\frac{A}{a - b} = h[/tex]

Rewrite the above equation as follows:

[tex]h =\frac{A}{a - b}[/tex]

Hence, the aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

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WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.

Graph

A combination of veggies that costs $17 but does not weigh 10 pounds.

Select all that apply.



Group of answer choices

D. 10 pounds of zucchini and 1 pound of broccoli

B. 4 pounds of zucchini and 6 pounds of broccoli

A. 6 pounds of zucchini, and 4 pounds of broccoli

C. 2 pounds of zucchini and 7 pounds of broccoli

Answers

Answer:

okay for the buying vegetables problem. It wants us to write an equation in ST that gives us enough. The amount of pounds of cauliflower Capital C is our first very bold and broccoli bee is our second variable. So Capital C that says Karl Power costs $2 per pound so we can write to see and then broccoli is a dollar 25 per pound. So plus a dollar 25 times being is equal to the total cost that we spent. And the total we spent was $10. Okay, so there's our equation and standard corn. Thank you.

There are 5 possible toppings for a burger - mustard, ketchup, mayonnaise, lettuce, and tomato. How many possible combinations?

Answers

Answer:

25

Step-by-step explanation:

my Christmas present to you​

Answers

Awww... if you need help, tell me :>

28.4 g = 1 oz
How many grams are in 9 4/5 ounces?

Answers

278.32 grams bc u just do 9.8 times 28.4

Answer:

277.825327

Step-by-step explanation:

Thx!

Subtract: -10 - (-21)

Answers

the answer is 11. hope this helps you!

5. Put the decimals in order from least to greatest. 1.23, 1.023, 1.203, 1.032​

Answers

Answer:

1.023,1.032,1.203, and 1.23

Step-by-step explanation:

1.023, 1.032, 1.23, 1.203

Help me!!! due in 2 mins!!!
Simplify??!?!?????!!!! ;). Pleeeeaaaassseee

Answers

The answer is t^6

Explanation: this is if the numerator has exponent of 12 and denominator has exponent of 6(I can’t really see)

Pleaseeeee helpppp asapp

Answers

Ok done. Thank to me :>

Multiplying by 0.89 is the same as decreasing by _____%.

Answers

Answer:

1-0.89=0.11

0.11*100=11%

What is the percent of increase from 80 to 95?

Answers

Amount of increase = 95-80 = 15

Percent increase = (15/80) x 100

Percent increase = 18.75%

Which graph represents an even function?

Answers

Answer:

the first one, it's linier (even)

The first graph is the one that represents an even function. See why below.

What is a even function?

An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.

The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.

Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.

Learn more about even function at:

https://brainly.com/question/23934926

#SPJ2

mathematics 8
.................................................plz helpp

Answers

Answer:

[tex]y\geq 18x+19y[/tex]

[tex]x+y\leq 13[/tex]

Step-by-step explanation:

Hope this helped! :)

please help asap for brainlist

Answers

Answer:

it's (2,-4)

hope it helps

Evaluate the function for x =2 and x = 6

f(x) = 4x −3

Answers

f(2) = 4(2) -3
f(2) = 8-3
f(2) = 5

f(6) = 4(6) -3
f(6) = 24-3
f(6)= 21

[tex]\huge \dag \sf{Answer \: it}[/tex]​
Refer to attachment.
Note: Spams not allowed.
Don't Copy
If you don't know the answer don't answer
Need Answer with explanation.
Thank You!​

Answers

Answer:

[tex]option \: (b) \: is \: ur \: answer \: to \: the \: question \: [/tex]

[tex]to \: know \: the \: answer \: with \: proof[/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

[tex]f = \frac{rn}{1 - r} [/tex]

[tex]\huge \tt༆ Answer ༄[/tex]

The required expression is ~ B

[tex] \boxed{ \sf \: F = \dfrac{ RN }{ 1 - R} }[/tex]

Refer to the attachment for Solution ~

Please help meee urgent

Answers

Step-by-step explanation:1

Answer:

6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ]

f(b) = f(4) = 9 ← value of f(x) when x = 4 , from table

f(a) = f(3) = 3 ← value of f(x) when x = 3 , from table

average rate of change = [tex]\frac{9-3}{4-3}[/tex] = [tex]\frac{6}{1}[/tex] = 6

Taylor Swift estimates the cost of a new Tesla model S to be $85,000. The actual cost is $100,690.

What is the percent error in Taylor's estimate? Round your answer to the nearest whole percent.

Answers

Answer:

should be 15%

Step-by-step explanation:

formula is |85,000 - 100,690| ÷ 100,690 × 100

50 points

Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of a and b in the table below? Round to the nearest tenth if necessary.

Percent Error

Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Picture frames
99
88

a
b

a = StartFraction 11 over 99 EndFraction; b = 11.1 percent
a = StartFraction 11 over 88 EndFraction; b = 12.5 percent
a = StartFraction 88 over 99 EndFraction; b = 88.9 percent
a = StartFraction 11 over 11 EndFraction; b = 100 percent

Answers

Answer:

a = StartFraction 11 over 88 EndFraction; b = 12.5 percent

a

because I did my research

Answer:

B. a=11/88 ; b=12.5%

Step-by-step explanation:

May I please receive help?

Answers

You got this bro why do u need our help for

No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept


slope: 3


y-intercept: (0,-2)

Answers

Answer: there you go

Step-by-step explanation:

The measure of an angle is 1/4 the measure of its compliment find the measure of each angle

Answers

Answer:

angle = 72°

complement = 18°

Step-by-step explanation:

x = (90-x) / 4

cross-multiply to get:

4x = 90 - x

5x = 90

x = 18

Jane eats 2/3 of a cup of cereal for breakfast every day. If the box contains a total of 24 cups, how many days will i take to finish the cereal box? Show your work. ​

Answers

24 divided by 2/3
24*3/2= 36

Solve the following system of equations.
8x+3y=18
-7x-4y=-13
x= y=

Answers

Answer:

x=3

y=-2

Step-by-step explanation:

Just ask!

Hope this helps.

(✿◡‿◡)

The statement below is a different way to say that the sides of these similar parallelograms are proportional.

Complete the equations that go with the statement.

Answers

b/c = s/r

_________

o0o0o0o0o0

c/d = r/q

________

o0o0o0o0

Boris has 10 pairs of jeans, 15 T-shirts, and 7 sweaters in his closet. Write the ratio of sweaters to pairs of jeans using a colon.

Brainliest to a person who gets it right.

Answers

Answer: 7:10

Step-by-step explanation: You are asked to find the ratio of sweaters to pairs of jeans. All you do is write the 7 sweaters and the 10 pairs of jeans. And you get a ratio of 7:10. Since this cannot be reduced any further, you just leave it as it is.

Hope this helps.

What is the measure of the angle in the polygon shown below?A.B.C.D.​

Answers

C.130°

Answer:

Solution given:

no of sides(n)=6

now

total interior angle of polygon having 6 sides is

(n-2)*180=(6-2)*180=4*180=720°

we have

Sum of interior angle of polygon: 720°

130°+100°+130°+130°+100°+?=720°

590°+?=720°

?=720°-590°

?=130°

Two triangles are shown on the coordinate plane. Which statement regarding the triangles is correct? A. The area of the small triangle is half the area of the large triangle. B. The area of the small triangle is twice the area of the large triangle. C. The slope of one hypotenuse is equal to the opposite reciprocal of the other. D. The slopes of the two hypotenuses are equal.​

Answers

Answer:

B

Step-by-step explanation:

B

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