The Copper river school district collected data about class size in the district.The table shows the class sizes for five randomly selected seventh- and eighth-grade classes

[tex]\dfrac 12 \div \dfrac 7{16}\\\\\\=\dfrac 12 \times \dfrac{16}7\\\\\\=\dfrac{16}{14}\\\\\\=\dfrac{8\times 2}{7 \times 2}\\\\\\=\dfrac 87[/tex]

Answer: 95 degrees

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

you times 4500 by 0.0575 and then divide 1035 by that number then you get 4

Answer:

D

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] (2x + 2) - [tex]\frac{1}{4}[/tex] (3x - 1) = 15

multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side

4x + 4 - 3x + 1 = 60

x + 5 = 60 ( subtract 5 from both sides )

x = 55

Answer:

-5 is the answer to the question

Answer:

375 m

Step-by-step explanation:

25 x 15 =

375

Answer:

The answer is D 10.50x =300.000

Step-by-step explanation:

I figured this out by knowing that to find the time you need to divide the total by the given made per hour which is 10.50 and he would make a total of $300 after about 28 hours so it would be 10.50 x being 28 = 300 dollars which gives the equation 10.50x = 300.000

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

0.27

Answer:

0.27

0.27247956403

Step-by-step explanation:

hope this helps

Answer:

It’s b

Step-by-step explanation:

Answer: D

Step-by-step explanation: i took a course on this

Answer:

480

Step-by-step explanation:

Answer:

Part A: x = -39/4 or -9.75

Part B: y = 1/2 or .5

Step-by-step explanation:

Part C: Multiply the bottom equation by 2, obtaining 4x + 10y = -34. Subtract the top equation (4x + 4y = -37) from this equation, obtaining 6y = 3. Solving this, y = 1/2

(y = .5). Substitute this value of y into the equation 4x + 4y = -37, and then solve for x:

4x + 4(1/2) = -37

4x + 2 = -37

4x = -39, so x = -39/4 or -9.75

Answer:

I attached the answer

Answer:

75.4

Step-by-step explanation:

S = r^2 * alpha * pi

where alpha is central angle = 135

S = 8^2 * 135/360 * pi = 12 * pi ~ 75.4

Answer:

120 days

Step-by-step explanation:

Remark

It's an inverse relationship. As the number of men go up, the 80 gets smaller. As the number of men goes down, the number of days will get larger.

Equation

80 = k / 15                Multiply both sides by 15

Solution

80*15 = 15 * k/15

1200 = k

That means that k is number that 80 men will produce. It is the number that relates men and days.

So now you want to put 10 men where 15 were before and see what that does to the number of days.

days = 1200/10

days = 120

Answer

It will now take 120 days.

15 men can do a piece of work in 80 days. How long will it take to complete the work if 5 men are reduced?

In this question we are provided that 15 men can do a work in 80 days and we are asked to calculate the time if 5 men are reduced that means we need to calculate the no. of days 10 men will take to do the same work.

There are two methods to solve this question

[tex] \small \red{ \underline{\bf{ Unitary \: Method }}}[/tex]

15 men can do a piece of work in 80 days

1 men can do a piece of work in 80 × 15 days

10 men can do a piece of work in [tex]\dfrac{80 × 15}{10}[/tex] = 120 days

[tex] \rule{40mm}{5pt}[/tex]

[tex] \small \orange{ \underline{\bf{ Method \: of \: proportion}}}[/tex]

Let us assume that 10 men can do a piece of work in x days.

[tex] \begin{array}{cc} \bf{Number \: of \: men} & \bf {Number \: of \: days} \\ 15&80 \\ 10&x\end{array}[/tex]

[tex] \small\bf{ 15 : 10 :: x : 80}[/tex]

[tex] ➲ \: \small\rm{10 \times x = 80 \times 15} [/tex]

[tex]➲ \: \small\rm {x = \dfrac{80 \times 15}{10} = 120 \: days }[/tex]

x = 120

[tex] \rule{72mm}{6pt} [/tex]

Answer:

You have to add 1.5 to each input number to find its corresponding output number.

Answer:

54 degrees

Step-by-step explanation:

21/36 <- divide 21 by 36 first

=0.58333

Around 54 degrees

If  his current total savings is 300m²+120m+180 dollars. The factorization that represent the months and monthly deposit is: 60(5m²+2m+3)

Given:

Expression=300m²+120m+180

Factorize

Extraction of common factor

60(5m²+2m+3)

Expand

60×5m²+60×2m+60×3

=300m²+120m+180

Therefore the factorization that represent the months and monthly deposit is: 60(5m²+2m+3).

Learn more about factorization here:https://brainly.com/question/20293447

Answer: D

Step-by-step explanation:

It's 30 degrees

Step-by-step explanation:

Hope this helps!

The mileage that the supervisor will achieve that is within a z-score of 1.5 is; 23.6

Formula for z-score in statistics is;

z = (x' - μ)/s

Where;

x' is sample mean

μ is population mean

s is sample standard deviation

We are given;

x' = 29

Standard deviation; s = 3.6

z = 1.5

Thus;

1.5 = (29 - μ)/3.6

μ = 29 - (1.5 × 3.6)

μ = 23.6

Read more about z-score at; https://brainly.com/question/25638875

#SPJ4

To find the area of the circle:

   ⇒ must know the area's formula ⇒ [tex]\pi r^2[/tex]

Let's consider the information given

         ⇒ the radius' length is half of the diameter

             ⇒ thus the radius' length is 3.5 in

Let's calculate the area:

    [tex]Area=\pi r^2=\pi (3.5^2)=12.25\pi in^2[/tex]

The problem asks us to leave the answer in terms of '[tex]\pi[/tex]' which means that we won't multiply '[tex]\pi[/tex]' to the final answer, but leave it there,

Answer: 12.25[tex]\pi in^2[/tex] or Choice (B)

Hope that helps!

Answer:

169 cm²

Step-by-step explanation:

Hi!

We want to solve for [tex]b[/tex]

Given:

[tex]a=\sqrt{b+6}[/tex]

Square both sides:

[tex]a^2=\sqrt{b+6} ^2[/tex]

Simplify:

[tex]a^2=b+6[/tex]

Subtract [tex]6[/tex] from both sides:

[tex]a^2-6=b+6-6[/tex]

Simplify:

[tex]a^2-6=b[/tex]

Flip:

[tex]b=a^2-6[/tex]

Hence, [tex]b[/tex] is the subject of the formula.

Answer:

62 cubic feet

Step-by-step explanation:

31/2*8*1/2

put into calculator

62

Answer:

the answer is 4.5

Step-by-step explanation:

63 = 14

divide 14 on both sides

14/14 cancels out

63/14 = 4.5

Answer:

110 decreased by 30% is 77.

Step-by-step explanation:

To do this, what we do is simply take 30% of 110 and subtract it from 110.

30% of 110. A trick to easily figure this out is multipling 110 by 30 and dividing by 100.

110*30 = 3300

3300 / 100 = 33

110 - 33 = 77

110 decreased by 30% is 77.

Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers.

Flori's Flower shop owns a quantity less than 150 flowers, in which there are four kinds of flowers according to color: (purple - p, yellow - y, red - r, white - w), each variable represents positive integers. Now we proceed to construct the system of equation that describes the situation:

z < 150     (1)

p + y + r + w = z    (2)

p = y/2     (3)

y = 3 · r/4     (4)

r = 5 · w/6     (5)

By (1) and (3) in (2):

y/2 + y + r + w < 150

By (4):

3 · y/2 + r + w < 150

9 · r/8 + r + w < 150

17 · r/8 + w < 150

By (5):

85 · w/48 + w < 150

133 · w/48 < 150

133 · w < 7200

w < 54.135

Now we assume that w = 48, then we have the following solution for the flower shop: r = 40, y = 30, p = 15.

Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers. [tex]\blacksquare[/tex]

To learn more on inequalities, we kindly invite to check this verified question: https://brainly.com/question/20383699