Eighteen students passed the Science Test. If 18 students is 72% of the total number of students in the class, how many students are in the class?

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

Answer:

?

Step-by-step explanation:

Answer:

1/52

Step-by-step explanation:

There is only one queen of hearts in a deck of 52 so there for the prbability is 1/52.

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:

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

Answer:

acute angles and an obtuse angle

Step-by-step explanation:

There are different types of triangle. We have;

Right angled

Obtuse triangle

isosceles triangle etc

Angles of an obtuse triangle is made up of two acute angles are an obtuse angle.

hence the two angles that can make up a triangle out of this three is acute angles and an obtuse angle since this two angles literally form an obtuse triangle

9514 1404 393

Answer:

  42.1 cm

Step-by-step explanation:

The long arc is 265°/360° = 53/72 of the circumference of the circle. Its length is ...

  arc length = 53/72C = 53/72(2πr) = 53π/36(9.1 cm) ≈ 42.1 cm

Answer:

The answer is 36.9

Step-by-step explanation:

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:

Answer:

[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]

Answer:

who friendhjcicivigigivigigogogig'g

Answer:

9b-12<9b+8

Step-by-step explanation:

b<20

Answer:

????

Step-by-step explanation:

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:

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

Answer:

180

Step-by-step explanation:

225 X .80 (100%-20%)

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.

Learn more about fractions here:

https://brainly.com/question/24370499

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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.

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.

Learn  more about isosceles right angled triangle here:

https://brainly.com/question/27190025

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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%

Answer:

=a^-13/a^-6

=a^-13+6

=a^-7

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

Answer:

15ways

Step-by-step explanation:

This question bothers combination

Combination has to do with selection

Given

Total number of teams  = 6

champion and runner up = 2

number of ways is expressed as 6C2

6C2 = 6!/(6-2)!2!

6C2 = 6!/4!2!

6C2 = 6*5*4!/4!*2

6c2 = 30/2

6C2 = 15

Hence the number of ways they can be selected is 15ways

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:)

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)

Answer: C

Explanation: 3(2) = 6

Answer:

i would say its C but im not 100% sure

Step-by-step explanation: