The number of football helmets which are likely to be scratched from the 108 helmets is; 12.
What is the number of helmets likely to be scratched?It follows from the task content that of the initial shipment of 108 football helmets; four of them were scratched.
On this note, the number of helmets likely to be scratched from the new shipment of 108 helmets can be evaluated by ratios as;
x = (108 × 4)/36 = 12 scratched helmets.
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3)
The probability that Max does not bring his calculator to Maths lesson is 0.2.
Complete the tree diagram for two successive lessons.
Step-by-step explanation:
that's it b is for brings
b compliment is for doesn't bring
A website is having a sale of 15% off the price, x, of
regular-priced items. For its loyalty club members, the
site is offering an additional 15% off the sale price. An
8% shipping and handling fee is then added to the
discounted price to determine the final cost. The
functions below represent each part of a loyalty
member's purchase
Sales price: S(x) = 0.85%
Loyalty member discount L(S) = 0.85S
Final cost: C(L) = 1.08L
Which is the composite function for the price a loyalty
member would pay based on the original price x?
O C(L(x)) = 2.7800x
O C(L(x)) = 0.9180x
O C(L(x)) = 0.7803x
O C(L(x)) = 0.7225x
The composite function for the price a loyalty member would pay based on the original price x is C(L(x)) = 0.7803x.
We have been given that
Sales price: S(x) = 0.85%
Loyalty member discount L(S) = 0.85S
Final cost: C(L) = 1.08L
Find out- which is the composite function for the price a loyalty
member would pay based on the original price x?
Sales price: S(x) = 0.85%
Loyalty member discount L(S) = 0.85S
Put the value of S then -
L(S) = 0.85× 0.85x
L(S) = 0.7225x
Final cost: C(L) = 1.08L
Now put the value of L
C(L) = 1.08L
C(L) = 1.08 × 0.7225x
C(L(x)) = 0.7803x
Hence , C(L(x)) = 0.7803x is the composite function for the price a loyalty member will pay given the initial price x.
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Will mark brainliest!!! Please help, thank you! :)
Answer:
40 feet
Step-by-step explanation:
d = 1/2 at^2 sub in d = ? a = 5 t = 4
d = 1/2 * (5)(4)^2
d = 40 feet
can someone pls help me I'm stuck o these two questions
Problem 1
Answers:arc AB = 122 degreesangle ADB = 61 degrees--------------------
Explanation:
Arc BC is 58 degrees. The arc AB combines with it to form semicircle ABC, which is basically arc ABC with measure 180
This must mean arc AB is 180-58 = 122 degrees
When in doubt, chances are the number 180 might be involved (in some way) when it comes to geometry problems. Of course, this isn't always a guarantee. The number does show up a lot though.
Once we determine what arc AB is equal to, we cut it in half to get the inscribed angle ADB. Refer to the inscribed angle theorem. Notice how angle ADB subtends the arc AB.
==========================================================
Problem 2
Answer: 9--------------------
Explanation:
x = length of AE
Since AC = 13, this makes EC = 13-x
We'll use the intersecting chords theorem to find x.
(AE)*(EC) = (BE)*(DE)
x*(13-x) = 6*6
13x-x^2 = 36
-x^2 + 13x - 36 = 0
x^2 - 13x + 36 = 0
(x-9)(x-4) = 0
x-9 = 0 or x-4 = 0
x = 9 or x = 4
This means AE could be 9 units long or 4 units long.
Usually the diagram isn't drawn to scale so we don't really use it all too much (other than initial set up). However, if the diagram was drawn to scale, then notice that AE is over the halfway point of AC. This means we would be able to rule out x = 4 since 4 is not over the halfway point of 13. I have a feeling this is what your teacher might be going for.
In short, only AE = 9 is possible.
What is 14700 in Scientific notation
Answer:
[tex]1.47 \times {10}^{4} [/tex]
Step-by-step explanation:
[tex]14700 = 1.47 \times {10}^{4} [/tex]Hope it helps you in your learning process.The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying r pounds of broccoli.
What equations represents this situation?
r -1.25y y - 1.25r r = y + 1.25 or y = r + 1.25
Answer:
y = 1.25r
Step-by-step explanation:
1.25 x r(the pounds brought) = y(the money spent)
Solve problem below please
Answer:-30
Step-by-step explanation:kinda hard to tell a little shaky so sorry if it is wrong.
olivia orders 6 ham sandwhiches at the deli the total was $30.72 how much did each sandwhich cost
Answer:
Each sandwich costs $5.12
Step-by-step explanation:
Six sandwiches is $30.72
Divide 30.72 by 6 and you get 5.12
That means that each sandwich costs $5.12
The motion of a pendulum for which the maximum displacement from equilibrium varies is an example of simple harmonic motion. True or False
The motion of a pendulum for which the maximum displacement from equilibrium varies is an example of simple harmonic motion is false.
What is SHM?A harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium
The statement "The motion of a pendulum for which the maximum displacement from equilibrium varies is an example of simple harmonic motion. " is false.
As, motion of simple pendulum is an example of simple harmonic motion.
But the equilibrium should not varies, then it would be simple harmonic with damped oscillations.
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please help i’m so confused
Answer:
x = -2, -8.
Step-by-step explanation:
x =[(-b +/- √(b^2 - 4ac)] / 2a
x^2 + 10x + 16 = 0
Here a = 1, b = 10 and c = 16, so substituting in the formula:
x = [-10 +/- √(10^2 - 4*1*16)] / 2
= (-10 +/- √36)/2
= (-10 +/- 6)/2
= -4/2, -16/2
= -2, -8.
Answer:
x = - 8 , x = - 2
Step-by-step explanation:
x² + 10x + 16 = 0
with a = 1, b = 10 , c = 16
then using the given quadratic formula
x = [tex]\frac{-10+/-\sqrt{10^2-(4(1)(16)} }{2}[/tex]
= [tex]\frac{-10+/-\sqrt{100-64} }{2}[/tex]
= [tex]\frac{-10+/-\sqrt{36} }{2}[/tex]
= [tex]\frac{-10+/- 6}{2}[/tex]
then
x = [tex]\frac{-10-6}{2}[/tex] = [tex]\frac{-16}{2}[/tex] = - 8
x = [tex]\frac{-10+6}{2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
Solve for x and y.
Angle x is
degrees. Angle y is
degrees.
Answer:
x = 50° y = 130°
Step-by-step explanation:
x and 50° are vertically opposite angles and are congruent , then
x = 50°
y and 50° are adjacent angles and sum to 180° , then
y + 50° = 180° ( subtract 50° from both sides )
y = 130°
A jogging track has a length of 1144 yards yd. How long is this in miles mi? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
Answer:
length=0.65 mi
length in yr= 0.65x1760=1144
The length of the jogging track is 0.65 miles.
To convert the length of the jogging track from yards (yd) to miles (mi), use the ratio between yards and miles.
1 mile = 1760 yards
Now, set up the equation to convert the length:
Length in miles (mi) = Length in yards (yd) / Conversion ratio
Length in miles (mi) = 1144 yd / 1760 yd/mi
Now, perform the calculation:
Length in miles (mi) = 1144 / 1760 ≈ 0.65 miles (rounded to the nearest hundredth)
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1.6 radius what is area and circumference
Answer:
See below
Step-by-step explanation:
For a circle:
Area = pi r^2 = 3.14 * 1.6^2 = 8.04 units^2
Circumf = pi * d = pi * 2r = 3.14 * (2 * 1.6) = 10.05 units
What is the fully factored form of the expression 45x²y2 + 18x3
A candy package states that it now has 30% more candy. The original package had 5 ounces of candy. How much candy is in the new package?
Answer:
There are now 6.5 ounces in the new bag.
Step-by-step explanation:
To solve this question, take 30% of 5 and add it to the original amount of 5
30% = 0.30
5 * 0.30 = 1.5
5 + 1.5 = 6.5 ounces of candy.
Hope this helps!
Need help with this assignment, they give it to me on my algebra class
Answer:
Can't read it.
Please help whoever answers this correctly, I will mark your answer brainliest
Answer:
A(-2,2),. B(−1, −2), and C(-6, 1). Graph the triangle. Then graph the triangle after a translation 7 units right and. 3 units up.
Step-by-step explanation:
After translation 7units left and 17unit up ΔXYZ become ΔX'Y'Z' with new coordinates X'(-14,4) , Y'(-10,8) an Z'(-14,12).
What is translation?
" Translation is defined as the moving a geometrical shape by certain distance."
According to the question,
In ΔXYZ,
Coordinates of X =(-7,-13)
Coordinates of Y = (-3 ,-9)
Coordinates of Z = ( -7, -5)
After translation 7units left and 17units up and rotation 270° counterclockwise around the origin
New coordinates as shown in the drawn graph of ΔX'Y'Z'
Coordinates of X' = (-14, 4)
Coordinates of Y' = (-10, 8)
Coordinates of Z' = (-14,12)
Hence, translation 7units left and 17unit up ΔXYZ gives ΔX'Y'Z' with new coordinates X'(-14,4) , Y'(-10,8) an Z'(-14,12).
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Amelia bought gas for her car. gas cost $3.45 per gallon. amelia bought 12.2 gallons. what was the total cost for amelia's gas?
You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue.
Answer:
Step-by-step explanation:
That means the chance of getting blue = 12/20
12/20 = 6/10
6/10 = 3/5
also, 3/5 = 60%, or .60
A right pyramid with a regular hexagon base has a base edge length of 4 ft and a height of 10 ft. wy represents the . if the area of an equilateral triangle with sides of 4 ft is 4startroot 3 endroot square feet, then the area of the regular hexagon base is startroot 3 endroot square feet. the volume is startroot 3 endroot .
The volume of the right pyramid with the given properties is 80√3 cubic volume
How to determine the volume?The given parameters are:
Area of equilateral triangle = 4√3Height = 10Base length = 4 ftStart by calculating the base area using:
Base area = 6 * Area of equilateral triangle
So, we have:
Base area = 6 * 4√3
Evaluate
Base area = 24√3
The volume of the pyramid is:
Volume = 1/3 * Base area * Height
So, we have:
Volume = 1/3 * 24√3 * 10
Evaluate
Volume = 80√3
Hence, the volume of the right pyramid is 80√3 cubic volume
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Answer:
WY represents the height.
If the area of an equilateral triangle with sides of 4 ft is 4StartRoot 3 EndRoot square feet, then the area of the regular hexagon base is 24 StartRoot 3 EndRoot square feet.
The volume is 80 StartRoot 3 cubic feet. :D
ross missed 2 more questions than chad on the science test. if they missed a total of 14 questions, how many questions did ross miss
Use substitution to solve the following.
y = 4x
2y + 2.5x = 105
What does x=
And what is the angle
Answer:
If the lines area parallel: x = 69 degrees
Step-by-step explanation:
Answer:
x equals 49°.
outside exterior angle
Can someone help me please ?!!!!
The different mathematical operations that have as a result 54 are 9x6, 8x9 - 18, 5x5 + 29, and 27x2.
What is a mathematical operation?This refers to calculating values using addition, multiplication, division, etc.
What mathematical operations have as a result 54?By multiplying two numbers: 9 x 6 By multiplying two numbers and then substracting: 8 x 9 - 18By multiplying two numbers and adding a number: 5 x 5 + 28By multiplying a two digits number that starts with 2: 27 x 2Learn more about mathematical operation in: https://brainly.com/question/20628271
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PLEASE HELP! I HAVE A CHAPTER TEST TM ON THIS
Directions: Solve the right triangle. Round decimal answers to the nearest tenth.
OKK so my question is I’m not sure what to do with the sqaure root. It throws me off, like I understand how to do this but the square root is confusing me. Can someone do the problem for me and explain your steps? It would help me a ton!
Answer:
[tex]a{}^{2} - {b}^{2} = {c}^{2} [/tex]
[tex]12 {}^{2} - (3 \sqrt{7})^{2} [/tex]
[tex]144 - 63 = 81[/tex]
[tex] \sqrt{80 } = 9[/tex]
Answer:
sorry for dirty handwriting
Help me with this please
The numbers 1-10 are placed in a bag. Each student draws a number and then makes a
statement about the probability.
a. What is the probability of the number being between 2-7?
b. What is the probability of the number being a multiple of 5?
c. Describe what the complement of selecting a 9 represents.
d. If the probability of selecting the number is
3 then what could the question be?
10
If one drink is picked
Answer:
a. What is the probability of the number being between 2-7?
Step-by-step explanation:
i just have a feeling
The probability of the events are given as 0.6 and 0.2 respectively.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
(a) The total number of elements in sample space are 10.
Then, the probability of getting numbers from 2 - 7 is given as,
P(numbers 2-7) = Number of favorable outcomes ÷ Total outcomes
⇒ 6 ÷ 10 = 0.6
(b) The multiples of 5 are given as 5 and 10
Then, P (Multiple of 5) = Number of favorable outcomes ÷ Total outcomes
⇒ P (Multiple of 5) = 2/10 = 0.2
(c) The complement of selecting one element represents the selection of all remaining elements in the sample space.
Thus, complement of 9 represents selection of all the remaining numbers from 1 to 10.
(d) For the probability of 3/10, the question can be asked as to find the probability of selecting numbers from 1 to 3.
Hence, the probabilities of the given events can be found by taking the ratio of favorable outcomes to the total outcomes.
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What’s 3/20 of a circle
NEED HELP ASP PLEASE HELP
Based on the given exponential function answer the following questions:
f(x) = 12(4/3)x
The initial value and base value are 12 and 4/3. The function is a growing function. The domain and the range of the function are real numbers.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The exponential function is given below.
f(x) = 12(4/3)ˣ
Then the initial value of the exponential function is 12.
Then the base value of the exponential function is 4/3.
If the base value if greater than 1 then the function is a growing function.
The domain and range of the function are real numbers.
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what is 7/8 - 2/3 in fractions?
Answer: 5/24
Step-by-step explanation:
7/8 = 21/24 2/3= 16/24
21/24 - 16/24 = 5/24
