$32 for each hockey stick
Step-by-step explanation:
71+25=96
96 divided by 3= 32Zack 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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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.
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
p + 7 /8 = 18/ 12 what does p equal
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]
Line t passes through points (1, 11) and (5, 2). Line u is parallel to line t. What is the slope of line u?
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]
Factor completely: 8x^2-4x-4
Answer:
4(2x+1)(x−1)
Step-by-step explanation:
8x2−4x−4
8x2−4x−4
=4(2x+1)(x−1)
please help me or I'm gonna fail math
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
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!!
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.
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
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.
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
Answer:
Step-by-step explanation:
in a scholl there are 720 boys and 640 girls find the % of girls
Answer:
47%
Step-by-step explanation:
720+640=
1360. 640/1360 = 47
help! hsjsjsjsjshssjsjshsshhesh
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
HELPP AND SHOW YOUR WORK!!!
4. −10(x − 3)
A) −15x + 30
B) −10x + 30
C) −15x + 35
D) −15x + 37
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+30Step-by-step explanation:
[tex]\sf -10(x -3)[/tex]
[tex]\sf -10x-\left(-10\right)\times \:3[/tex]
[tex]\sf -10x+30[/tex]
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.
ebgjwbjhkjfhdsn wmiuehdbnsmkji
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 ASAP WILL GIVE BRAINLIEST
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
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
Answer:
thanks for your points and the time
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.
Answer:
4019800
Step-by-step explanation:
number name
4 million 19 thousand 800
HELP ME PLEASE I AM SO DESPERATE THIS IS DUE IN 12 minutes!!!!
Answer:
3/4
Step-by-step explanation:
The graph shows the height of a plant over time. What is the unit rate?
what is 3.26% of 1298
Answer:
42.3148
Step-by-step explanation:
3.26% of 1298
3.26/100*1298
42.3148
i need help please with this
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.
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.
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 :)
you can earn $33 in 8 hours. At this rate, how much would you earn in 5 hours
Answer:
20 pounds and 62p
Step-by-step explanation:
33 divided by 8 then you times it by 5
please help im the worst at algebra 2
Answer:
Option AStep-by-step explanation:
According to the matrix, the system is:
3x + 2y -z = 40x + 3y + 7z = 8 ⇒ 3y + 7z = 8x - 3y + 4z = 7Correct match is A
HELPPPPP PLEASEEEEEEEEEEE
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.
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?
Answer:
put it in desmos and turn it into table
solve an equation to find the value of x
Answer:
(7+x)°=180-130
x=50-7
x=43
What value of x is in the solution set of 2(3x - 1) = 4x - 6?
О -10
0-5
-3
ОО
О-1
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
If 10% is RS 1500 then find 90%.
Answer:
10%=1500
so 100% = 15000
90%= 100% - 10%
15000-1500=13500
90%=13500
HELP ME ASAP!!!!!!!!!!!!!!!!!
Answer:
good luck i need to conquer europe
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