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5.8 Solve two-step equations: word problems D2Y
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Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he
spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much
did Zack receive for each hockey stick?
Submit

Answers

Answer 1

$32 for each hockey stick

Step-by-step explanation:

71+25=96

96 divided by 3= 32
Answer 2

Zack received $32 for each hockey stick he sold. He earned $96 in total from selling 3 sticks after deducting $25 for gloves, leaving him with $71.

Given that Zack sold 3 old hockey sticks and earned a total amount of money.

He spent $25 of his earnings on a pair of used hockey gloves.

After buying the gloves, he had $71 remaining.

Now, we need to find out how much Zack received for each hockey stick.

Let's assume the amount he received for each hockey stick is "x" dollars.

Total earnings from selling the hockey sticks = Number of sticks sold × Amount received per stick

Total earnings = 3x

Zack spent $25 on gloves and had $71 remaining, so we can write this equation:

Total earnings - Amount spent = Remaining money

3x - 25 = 71

Now we can solve for x (the amount received for each hockey stick):

3x - 25 = 71

Add $25 to both sides:

3x = 96

Divide both sides by 3:

x = $32

So, Zack received $32 for each hockey stick he sold.

To learn more on Equation click here:

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Related Questions

please help im the worst at algebra 2

Answers

Answer:

Option A

Step-by-step explanation:

According to the matrix, the system is:

3x + 2y -z = 40x + 3y + 7z = 8 ⇒ 3y + 7z = 8x - 3y + 4z = 7

Correct match is A

HELP ME PLEASE I AM SO DESPERATE THIS IS DUE IN 12 minutes!!!!

Answers

Answer:

3/4

Step-by-step explanation:

4/6 wnwjejjahshswbbshwhehehehs

you can earn $33 in 8 hours. At this rate, how much would you earn in 5 hours​

Answers

Answer:

20 pounds and 62p

Step-by-step explanation:

33 divided by 8 then you times it by 5

A girl received $100 for her birthday. At the store she can buy 1 video game and 3 DVDs for $100. She could ask buy 2 video games and 1 DVD for $100. Write and solve a system of equations to determine the cost of a video and the cost of a dvd

Answers

Answer:

Step-by-step explanation:

What is the relationship between the volume of a rectangular prism and pyramid that both have the same dimensions?

Question 23 options:

A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
B) The volume of the pyramid is 3 times the volume of the rectangular prism.
C) The volumes are the same
D) There is no relationship

Answers

Answer:  A) The volume of the pyramid is 1/3 the volume of the rectangular prism.

Explanation:

Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.

Put another way: we can fit 3 pyramids into one rectangular block.

ebgjwbjhkjfhdsn wmiuehdbnsmkji

Answers

Answer:

im srry what

Step-by-step explanation:

DYK?

— Pretty face is everywhere, but a woman who cheer you up at your weakest and stay after knowing about your flaws and bad sides are rare, so you better keep her dude!.

#moodchallenge

i need help please with this

Answers

Answer:

Thus, width is 6 and length is 25.

Step-by-step explanation:

Let us assume the width is x, then, the length is (4x+1).

Therefore, 2x + 2(4x+1) = 62

Or, 2x + 8x + 2 =62

Or, 10x = 60

Or, x = 6

Answer:

27 units.

Step-by-step explanation:

The perimeter is equal to 2 x length + 2 x width.

If the width is 4 then:

62 = 2 x length + 2 x 4

62 = 2 x length + 8

Then, we can subtract 8 from both sides.

54 = 2 x length

Next, divide both sides by 2

27 = length

so,

The length is 27 units.

The number 356 is between which pair of numbers? a. 340 and 350 b. 350 and 360 c. 360 and 370 d. 370 and 380​

Answers

B. 350, 351, 352, 353, 354, 355, ‘356’, 357, 358, 259, 360

The graph shows the height of a plant over time. What is the unit rate?

Answers

The unit rate is 1/5. The plant grows 1 inch per 5 days.

Line t passes through points (1, 11) and (5, 2). Line u is parallel to line t. What is the slope of line u?

Answers

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope of line t using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )

m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line u is - [tex]\frac{9}{4}[/tex]

solve an equation to find the value of x

Answers

Answer:

(7+x)°=180-130

x=50-7

x=43

Factor completely: 8x^2-4x-4

Answers

Answer:

4(2x+1)(x−1)

Step-by-step explanation:

8x2−4x−4

8x2−4x−4

=4(2x+1)(x−1)

PLEASE HELP!! 20 POINTS EACH

Joe's dog ate 8 cans of dog food this week. Each can contained 58.7 grams of protein. How much protein was this in all?

Please and thank you!!

Answers

Answer:

443.2 grams

Step-by-step explanation:

Each can contains 55.4 grams of protein, and there are 8 cans, so the answer would be 55.4*8 = 443.2 grams.

help! hsjsjsjsjshssjsjshsshhesh

Answers

Answer:

5

Step-by-step explanation:

a) Se simplifica la b) Se simplifica

potencia, en este la potencia, en

caso 5 este caso 4.

Step-by-step explanation:

Espero que te sirva

HELPPPPP PLEASEEEEEEEEEEE

Answers

Answer:

60 students are divided into equal groups of 5 student each.

Groups of 5 students per group totaled up to 60 students.

The quotient in both expression is 60:5 = 12 students per group.

Step-by-step explanation:

The ratio expression is a way of expressing the division of numerator by a denominator.

Here,

The total number of students is the numerator = 60

The denominator is the number of students per group = 5

Hence, the quotient is the value of the divison obtained which is (60/2) = 12

Therefore, there are 12 groups of 5 students.

what is 3.26% of 1298

Answers

Answer:

42.3148

Step-by-step explanation:

3.26% of 1298

3.26/100*1298

42.3148

A package of 5 pairs of insulated gloves costs $33.45. What is the unit price of the pairs of gloves?
The unit price is $
per pair of gloves.

Answers

Answer:

$6.69

Step-by-step explanation:

Since we know the total cost of 5 pairs of gloves, all we have to do to find the unit price is divide the total cost by how many gloves were are being sold:

33.45 / 5 = 6.69

Therefore, one pair of gloves costs $6.69

Hope this helps :)

The unit price of the pair of glove is $6.69

In 1990 the profit of Gamma company was 11,218,614 . each year after 1990, profits fell by 13,189 on average. construct a linear model for this scenario and use it to solve the profits in the year 2020.

Answers

Answer:

4019800

Step-by-step explanation:

number name

4 million 19 thousand 800

Prove that:
[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]
Please solve this problem because tomorrow is my maths exam.​

Answers

Explanation:

On taking LHS

Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]

We know that

π = 180°

2π = 2×180° = 360°

3π/2 = (3×180°)/2 = 540°/2 = 270°

Now

LHS becomes

Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]

We know that

Cos (270°+θ) = Sin θ

Cos (360°+θ) = Cos θ

Cot (270°-θ) = Tan θ

Cot (360°+θ) = Cot θ

→ Sin θ Cos θ [Tan θ + Cot θ]

→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]

→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]

→ Sin θ Cos θ [1/(Sin θ Cos θ)]

Since Sin²θ+Cos²θ = 1

→ (Sin θ Cos θ)/(Sin θ Cos θ)

→ 1

→ RHS

→ LHS = RHS

Hence, Proved.

Here are the formulae that I have used:

→ π = 180°

→ Cos (270°+θ) = Sin θ

→ Cos (360°+θ) = Cos θ

→ Cot (270°-θ) = Tan θ

→ Cot (360°+θ) = Cot θ

Here are the Trigonometric Identities that I have used:

→ Sin²θ+Cos²θ = 1


During the All Stars Skills competition, a puck was launched through the air at a
speed of 41 km/h from a height of 2.5 cm. The algebraic model of the path of the
puck is defined by h = -4.9+ + 41t +0.025, where h represents height in cm and t
represents time in seconds.

1.Construct a table of values for the first 10 seconds of the puck's movement.
Round to 0 decimal places.

2.Using graph paper, graph the data points. Join with a smooth curve. Scan your
graph.

3.Approximately how long before the puck will hit the ice?

4.For what values of time is the height invalid?

Answers

Answer:

put it in desmos and turn it into table

If 10% is RS 1500 then find 90%.​

Answers

Answer:

10%=1500

so 100% = 15000

90%= 100% - 10%

15000-1500=13500

90%=13500

I NEED HELP ASAP WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

length of missing side = sqrt(5^2 + 12^2) = sqrt(169) = 13

distance = sqrt(50^2 +25^2) =sqrt(3125)= 55.90metres

please help me or I'm gonna fail math​

Answers

Answer:

Step-by-step explanation:

as said in my comment

A: (3x-2)X(x+1)

B: substitute 3 in(if m=meters),

(3x3-2)

9-2

7X(x+1)

3+1

4

7X4

28

Answer:

a) 3x^2 + x - 2

b) 28m

Step-by-step explanation:

a) Since the Area for a normal square is b*l (base x length)

Do the same with this (Using FOIL ig)

(3x - 2) * (x + 1)

3x^2 + 3x - 2x - 2

3x^2 + x - 2

b) Since it's asking us to find out what the number will be while x = 3m, just substitute 3 for every "x" in the answer we got for a

3(3)^2 + (3) - 2

3(9) + (3) - 2

27 + 3 - 2

30 - 2

28m

Therefore the actual area of this rectangle is 28m

p + 7 /8 = 18/ 12 what does p equal

Answers

Answer:

P = 5/8 or 15/24

Step-by-step explanation:

p = 18/12 - 7/8

p = 36/24 - 21/24

p = 15/24   ( Simplify )

p = 5/8

Answer:

Step-by-step explanation:

[tex]p+\dfrac{7}{8}=\dfrac{18}{12}\\\\p=\dfrac{18}{12}-\dfrac{7}{8}\\\\\\LCM \ of 8 \ and \ 12 \ is \ 24\\\\p=\dfrac{18*2}{12*2}-\dfrac{7*3}{8*3}\\\\p=\dfrac{36}{24}-\dfrac{21}{24}\\\\p=\dfrac{15}{24}[/tex]

[tex]p=\dfrac{5}{8}[/tex]

What value of x is in the solution set of 2(3x - 1) = 4x - 6?
О -10
0-5
-3
ОО
О-1

Answers

Answer:

-1

Step-by-step explanation:

Step-by-step explanation:

Given by your question

2(3x-1)≥4x-6

Distributive property to take off the parentheses

2×3x-2×1≥4x-6

6x-2≥4x-6

Subtract 4x on both sides (Subtractive property of equality)

6x-2-4x≥4x-6-4x

2x-2≥-6

Add 2 on both sides (Addition property of equality)

2x-2+2≥-6+2

2x≥-4

Divide 2 on both sides (Division property of equality)

2/2 x≥-4/2

x≥-2

----------------------------------------------------------------------------

Looking at the options you've provided.

-10 INCORRECT, it is not greater or equal to -2

-5 INCORRECT, it is not greater or equal to -2

-3 INCORRECT, it is not greater or equal to -2

-1 CORRECT, it is greater than -2

Answer:

2(3x -1) = 4x - 6

6x - 2 = 4x - 6

6x -2+2 = 4x -6 + 2

6x - 4x = 4x - 4x -6 + 2

6x - 4x = -6 + 2

2x = -4

2 2

x = -2

HELPP AND SHOW YOUR WORK!!!

4. −10(x − 3)

A) −15x + 30
B) −10x + 30
C) −15x + 35
D) −15x + 37

Answers

Answer:

B) [tex]-10x+30[/tex]

Step-by-step explanation:

You distribute:    

-10 times X minus 3 ( -10*x-3)

Which gives you:

Answer: -10x+30

Hope this helps!

Answer:

-10x+30

Step-by-step explanation:

[tex]\sf -10(x -3)[/tex]

[tex]\sf -10x-\left(-10\right)\times \:3[/tex]

[tex]\sf -10x+30[/tex]

in a scholl there are 720 boys and 640 girls find the % of girls

Answers

Answer:

47%

Step-by-step explanation:

720+640=

1360. 640/1360 = 47

The following graph shows how many gallons of water leaves a bucket every hour.

- right the slope intercept equation. Find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation

Answers

Answer:

thanks for your points and the time

HELP ME ASAP!!!!!!!!!!!!!!!!!

Answers

Answer:

good luck i need to conquer europe

Let f(t) represent the temperature of a turkey baking in an oven as a function of time (t) in the oven (in minutes). This means time is the independent variable and temperature of the turkey f(t) is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.

1. Describe the rate of change pattern over each interval of the graph listed below:
a) 0 < t < 345
b) 345 < t < 360
c) t > 360

2. Explain what is happening in each interval of your graph in terms of the turkey and its temperature, using complete sentences.

3. Let's say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 degrees. Write that value in function notation.

Answers

yes yup yes yes we are just okay
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