Solve for x in the diagram below.

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:

-4.5

Step-by-step explanation:

[tex]6x+5.5=3x-8\\[/tex]

[tex]6x-3x=-8-5.5[/tex]

[tex]3x=-13.5[/tex]

[tex]x=\frac{-13.5}{3}[/tex]

[tex]x=-4.5[/tex]

Answer:

im gonna guess its 30 but not 100% sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13

Answer:

The HCF is 75

Step-by-step explanation:

Here, we want to get the highest common factors of the two numbers

To do this, we have to write the numbers as the product of their prime factors

We have;

3,000 = 2 * 2 * 2 * 3 * 5 * 5 * 5

525 = 3 * 5 * 5 * 7

now looking at this, we can see that in both numbers, we can have 3 * 5 * 5 taken out as it is common to both numbers

This represents the highest common factor of the two numbers

and that is 75

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:

Step-by-step explanation:

Sum of angles of a triangle = 180

x + (180 - 105) + (180 -140) = 180

x + 75 + 40 = 180

x = 180 -75 - 40

x = 65

Answer:

191 Feet.

Step-by-step explanation:

Answer: Your answer should be 191!

Answer:

Cocomelon

Their videos are pretty good!

Answer:

x= 5/2

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

It's hard for me to explain but let me know if it's right and if you need an explanation

Answer:

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

Answer:

5.83

Step-by-step explanation:

15 ÷ 2.57 = 5.8

mark as brainllest

the answer is 5.83

hope it's help

Answer: 3

Step-by-step explanation:

The number of getting the black hair color clients will be 4.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of samples

Given the of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and 12 clients had hair in other colors.

The probability is:-

P = 4 / 12

The number of clients having black color hair is calculated as:-

Number = ( 4 / 12 ) x 12

Number =  4

Therefore, there will be 4 people getting black hair colors.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ6

Answer:

18.44 ..... hope this helps

Step-by-step explanation:

V=

4

3

π

r

3

Solving forr

r=

3

V

4

π

⅓

=

3

26244

4

π

⅓

≈

18.43517

Answer:

3/32

Step-by-step explanation:

prob greater than 5

that would be 6,7 or 8

p = 3/8

prob purple

p = 1/4

Prob of both

p = 3/8 * 1/4

p = 3/32

Answer:

So If you start with sinØ = .5

your calculator is programmed to always give the closest angle to 0, and that would be 30°

You probably used the cosine law to find the first angle. A suggestion is to always find the largest angle first. If that happens to be an obtuse angle, your calculator will find the correct angle.

Of course there can only be one obtuse angle in a triangle, so using the sine law for your second angle does not result in any problems

notice that in your solution 78 and 102 add up to 180 , and sin 78 = sin(180-78) = sin 102

I would have found angle S first, the largest angle always opposite the largest side.

7^2 = 5^2 + 4^2 - 2(5)(4)cosØ

40cosØ = -8

cosØ = -8/40 = -1/5

Ø = 101.537°

Now you can use the sine law and you will find the correct other angles.

Step-by-step explanation:

Answer: C

Explanation: 3(2) = 6

Answer:

huh? explain better

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I don't know how to explain this other than use a calculator.

Hope that this helps!

Answer:

The graph increases

Step-by-step explanation:

5/7 is 5÷7

so

5÷7 = 0.7142857143

Answer

x+y

Step-by-step explanation:

Answer:

it is an octagon; it is not regular

Answer:

4ft

Step-by-step explanation:

to get the area of a square you multiply the sides together so you just find the square root of the area

Answer:

4 feet would be the legth of the squares side

Step-by-step explanation:

t16 is the squares area and the area of a square is length X width, since all the sides of a square are equal, we can just take the square root of  16 which is 4 feet.

Answer:

51

Step-by-step explanation:

3.6=6333.34

Divide that by 125 and you have

50.6 but round up to 51