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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?
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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
Help me with this please!!!!!
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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
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?
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1 4/7 as an improper fraction.
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11/7
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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A spinner has 8-equal sections. Six of the sections are green. What is the probability that the spinner will land on green?
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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
help me pls! i'll mark u brainliest promised
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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:
HELLLLLPP FASSTT PLZZZZ!!!!!! U ANSWER THIS THANNNKKK YOU
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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
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?
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Write an expression to represent how to calculate the area of a triangular sail.
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Answer:
(b × h) ÷ 2
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? *
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B) 24
step-by-step explanation:
there are 48 squares in total
half of the squares are shaded
48/2
24
Answer:
I'm going to say 24. I'm 97% sure I'm correct
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?
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Explanation: 10% of $160 is $16
Find the area of the trapezoid
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Answer:
45
Step-by-step explanation:
A town has a population of 2000 and grows at 4% every year. What will be the
population after 15 years, to the nearest whole number?
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Answer:
[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]
Please help will mark brainliest
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Answer:
The answer is 36.9
Step-by-step explanation:
Help I need help with this
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Answer:
????
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.
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If yu were to randomly survey 500 people each from two largest us cities would this be a random study why or why not HELP NEEDED ASAP !
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Answer:
If you're timed then I would say,
Yes this is a random study because the problem specifically states that the survey samples were randomly selected from populations.
I think that is the answer! However, if you have time I would wait for another person to answer as well because I'm terrible at statistics :(
Answer:
No, its nat a random sample
Step-by-step explanation:
Its not a random sample because you have already selected two populations (the two largest US cities) which may or may not be representative of the vast majority of the country.
Hope this helps:)
State the x- and y-intercepts of each equation
y= -2x + 7
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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
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?
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Answer:
4
Step-by-step explanation:
i did the math but i did the math but i dont wanna type it all out
Please help ASAP !!
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Answer:
3rd one or infinite
Step-by-step explanation:
Adam has an inflatable pool toy
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Answer:
yes
Step-by-step explanation:
Answer:
nice.
Step-by-step explanation:
₊˚ ꒰ mei ꒱ ‧₊˚
help me please!!! asap!
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Answer: C
Explanation: 3(2) = 6
Which statement is true about the pattern above?
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Answer:
The correct answer is "The next fraction in the pattern is 243/324". Each fraction is the other multipled by 3.
Step-by-step explanation:
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).
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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%
9. please please help me out ill mark you brainlist
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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)
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
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Answer:
who friendhjcicivigigivigigogogig'g
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
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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.△WXY is a right triangle, and △WZY is an isosceles triangle where WY¯¯¯¯¯¯≅ZY¯¯¯¯¯. Which is the measure of ∠XYZ?
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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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Someone help me out on this one please
Answers
Answer:
Angle GHM and Angle LKJ
Step-by-step explanation:
They are both marked the same with one line.
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.)
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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