Answer:
t = 0.0475p
Step-by-step explanation:
If
p = paycheck ; t = amount paid in state income tax
Amount contributed towards retirement :
5% of p ; 0.05p
Amount left :
Paycheck - contribution
p - 0.05p = 0.95p
Amount paid in state income tax :
5% of amount left
5% of 0.95p
5/100 * 0.95p
0.05 * 0.95p
= 0.0475p
Hence, state income tax, t = 0.0475p
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium hat costs $6.00. A large hat costs $7.00. He purchases three times as many medium hats as small hats. Using matrices, how many large hats did the coach purchase?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Answer:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Solve for x.
can someone answer this please
Miguel volunteers at his local food pantry and takes note of how much money is donated each day during a 10-day
fundraising phone-a-thon. Below is the graph that represents the data that he collected.
Ty Food Pantry Donations
300
250
200
Dollars Donated
150
100
50
1
2 3 4 5 6 7 8 9 10 X
Number of Days
The slope of the line that represents the data that Miguel collected is 25, and the y-intercept is 50. What do the slope and
y-intercept represent in Miguel's situation?
Answer:
Step-by-step explanation:
The answer is c
Answer:
C
Step-by-step explanation:
1a.) Brian borrowed 4 non-fiction books from the library. This was 25% of the
books he checked out. How many books did Brian check out? *
Answer:
Step-by-step explanation:
Answer:
16 books
Step-by-step explanation:
100÷25=4
4×4=16
△WXY is a right triangle, and △WZY is an isosceles triangle where WY¯¯¯¯¯¯≅ZY¯¯¯¯¯. Which is the measure of ∠XYZ?
Answer:
61 degrees
Step-by-step explanation:
TRUST ME I JUST DID THE IMAGINE MATH LESSON. !!!!
The measure of ∠XYZ in right triangle is 90 degrees.
What is an isosceles right angled triangle?It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. An isosceles triangle has two of its side length of same measure.
Let the considered isosceles triangle has two same lengthed sides of 'a' units.
Let its third side be of 'b' units.
Then, if we drop a perpendicular from the vertex joining similar sides to the opposite side, the opposite side is cut in half, each of length b/2 units.
We are given that;
A right triangle △WXY and △WZY
Now,
Let's label ∠WZY as α, so we have:
∠WZY = α
∠WYZ = α
Since the sum of the angles in a triangle is 180 degrees, we can find ∠WYX of △WXY:
∠WYX = 90 - ∠WXY
Now, we can use the fact that ∠WXY and ∠XYZ are complementary angles of a right triangle, so:
∠WXY + ∠XYZ = 90
Substituting ∠WYX for ∠WXY, we get:
∠WYX + ∠XYZ = 90
90 - ∠WXY + ∠XYZ = 90
∠XYZ = ∠WXY
Therefore, we can conclude that ∠XYZ is equal to ∠WYX, which is the angle opposite to the hypotenuse in a right triangle. So, we have:
∠XYZ = 90 degrees
Hence, in the given right triangle answer will be 90 degrees.
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Can someone explain this question which part of the class do you think you will apply to your life both now or in the future?
Find the area of the trapezoid
Answer:
45
Step-by-step explanation:
A company analyzed how inventory was affected during the first five hours after a commercial aired for its product. The relationship is shown on the graph below.
What happens to inventory as each hour passes?
A.
The inventory decreases by 20 units.
B.
The inventory decreases by 10 units.
C.
The inventory decreases by 5 units.
D.
The inventory decreases by 1 unit.
Given the point (x, y) = (3, 8), find x' of the image point with respect to an axis rotated 60.
3/2 + 4√3
(3√3)/2 - 4
(3√3)/2 + 4
The value of x', the image point with respect to an axis rotated 60 is 3/2 + 4√3
How to determine the x' coordinate?The point is given as:
(x, y) = (3, 8)
The angle of rotation is given as:
θ = 60
The image of rotation is calculated using:
x = x'cosθ - y'sinθ
y = x'sinθ + y'cosθ
So, we have:
3 = x'cos(60) - y'sin(60)
8 = x'sin(60) + y'cos(60)
Evaluate cos(60) and sin(60)
3 = 1/2x' - y'√3/2
8 = x'√3/2 + 1/2y'
Multiply the second equation by √3
8√3 = 3/2x' + √3/2y'
Add this equation and the first equation to eliminate y'
3 + 8√3 = 1/2x' + 3/2x'
Evaluate the sum
3 + 8√3 = 2x'
Divide through by 2
x' = 3/2 + 4√3
Hence, the value of x' is 3/2 + 4√3
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You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is
Explanation:
This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries. The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.
Notes:
11/50 = 0.22 = 22%The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.In the parallelogram RSTU, the diagonals RT and SU intersect at point W.
A. 4
B. 8
C. 10
D. 20
If RW = 2x + 2 and RT = 3x +8, what is the length of WT?
Answer:
4
Step-by-step explanation:
i did the math but i did the math but i dont wanna type it all out
1 4/7 as an improper fraction.
The mix fraction as an improper fraction is 11/7.
We have,
Mix fraction:
1(4/7)
This can be simplified as an improper fraction:
= {(7 x 1) + 4} / 7
= (7+ 4) / 7
= 11/7
Thus,
The mix fraction as an improper fraction is 11/7.
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She drinks 70 ounces of water each day. Before her ride she drinks 14 ounces. What percent of water does she drink. Find an equivalent amount of water to 100 ounces.
Answer:
Percentage of water consumed = 20 %
Equivalent amount of water to 100 ounces = 20 ounces
Step-by-step explanation:
The total amount of water consumed by her daily = 70 ounces
The total amount of water consumed by her before ride = 14 ounces
Percentage of water consumed = total amount of water consumed by her before ride /total amount of water consumed by her daily * 100
Substituting the given values we get
[tex]\frac{14}{70} * 100\\\frac{100}{5} \\20[/tex]%
Equivalent amount of water to 100 ounces = 20 ounces
A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)
Answer: 12
Step-by-step explanation:
There are 12 different combinations
If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once
9. please please help me out ill mark you brainlist
Answer:
C. The scale factor is less than one.
Step-by-step explanation:
By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)
help me pls! i'll mark u brainliest promised
Answer:
DF≅YZ
angle R≅angle N
XW≅TH
angle M ≅angle C
new coordinate=(2,1)
new coordinate=(0,2)
Reflection:
new coordinate=(5,-6)
new coordinate=(1,4)
Last one is already done
Step-by-step explanation:
Help me with this please!!!!!
Answer:
d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2
P1(0, 0, 0) P2(-9, 6, -4)
Substitute the values in the above equation and you will get
d = √(-9)^2 + (6)^2 + (-4)^2
= √(81 + 36 + 16)
= √133
= 11.53
Answer:
The answer is 11.53
5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).
Answer:
P(B,R) = 24.490%
Step-by-step explanation:
P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%
In Earth’s atmosphere, the speed of sound can be approximated using partial variation. The speed of sound is approximately 331 m/s at 0°C and approximately 343 m/s at 20°C.
Jenny yells out “Hello” in a canyon when the air
temperature is 10°C. It takes 1.4 s to hear her
echo. How far away is the wall of the canyon?
Someone help me out on this one please
Answer:
Angle GHM and Angle LKJ
Step-by-step explanation:
They are both marked the same with one line.
A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?
square & cube numbers puzzle
| Using only square and cube numbers less than or equal to 100, can you fill in the circles to make these
| sums true? You can only use each number once and you must use all the numbers.
36) + (64
Square and cube numbers
Answer:
who friendhjcicivigigivigigogogig'g
Pls help will mark brainliest
A spinner has 8-equal sections. Six of the sections are green. What is the probability that the spinner will land on green?
Answer:
3/4
Step-by-step explanation:
To find the probability of landing on green, we have to divide the number of sections that are green by the total number of sections
we have this as:
6/8 = 3/4
Please help ASAP !!
Answer:
3rd one or infinite
Step-by-step explanation:
State the x- and y-intercepts of each equation
y= -2x + 7
Answer:
x-intercept(s): ( 7/ 2 , 0 )
y-intercept(s): ( 0 , 7 )
Step-by-step explanation:
Answer:
y = 7, x = 7/2
Step-by-step explanation:
y - intercept = 7
x - intercept = 7/2
HELLLLLPP FASSTT PLZZZZ!!!!!! U ANSWER THIS THANNNKKK YOU
Answer:
1) No
2) 4/8 or 1/2
3) 2/8 or 1/4
4) 4/8 or 1/2
5) No
6) 1/8
7) No
Adam has an inflatable pool toy
Answer:
yes
Step-by-step explanation:
Answer:
nice.
Step-by-step explanation:
₊˚ ꒰ mei ꒱ ‧₊˚
Please help will mark brainliest
Answer:
The answer is 36.9
Step-by-step explanation:
The grid shown below is in the shape of a rectangle. What is the area, in square units, of the shaded part of the rectangle? *
Answer:
I'm going to say 24. I'm 97% sure I'm correct