SOSOSOSIS
A Ferris wheel frame can withstand a weight of 6000 kg. It has cars that seat two
people, and each car can withstand a maximum weight of 200 kg.

How many cars can be installed on the frame?
15
20
30
35

Answer:

First option

Step-by-step explanation:

Hi there!

The "constant additive rate of change" means a constant slope.

The slope is \(\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}\).

First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).

Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is \(-\displaystyle \frac{1}{4}\). This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).

This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).

Therefore, the correct answer would be the first option.

I hope this helps!

Answer:

5 ≤ y

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Theres a ratio of 1:4

Where Jamie has driven 4 times as much as Rhonda

meaning that you can plug in values,  1:4=125

the 4 represents Jamie since she drove farther than rhonda

Rhonda drove 25 miles, and Jamie drove 100 miles

25(4)+25=124

Lavage Rapide's total cost per car washed is $19.05.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.

The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.

To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:

Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed

Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)

Total Cost per Car Washed = $18,620 + $0.45

Total Cost per Car Washed = $19.05

Therefore, Lavage Rapide's total cost per car washed is $19.05.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

complete question:

Fixed Cost per Month Cost per Car Washed

Cleaning supplies $ 0.80

Electricity $ 1,400 $ 0.08

Maintenance $ 0.20

Wages and salaries $ 4,700 $ 0.40

Depreciation $ 8,000

Rent $ 2,100

Administrative expenses $ 1,400 $ 0.05

Answer:

,80 meters so when the thing is up to the degree or something like that it can be switched

The equation would be y = x - 180, with y being depth of tunnel in meters, and x is prior depth.

The ratio is \(\frac{3}{2}\) in its simplest form.

If the probability of choosing an even card is \(\frac{3}{5}\) , then the probability of choosing an odd card is 1- \(\frac{3}{5}\) = \(\frac{3}{2}\).

Let e be the number of even cards Alisha has, and let o be the number of odd cards. Then, we have:

\(\frac{e}{e+0}\)

which simplifies to:

5e=3(e+o)

Expanding the right side gives:

5e=3e+3o

Simplifying further gives:

2e=3o

Dividing both sides by 2 gives:

e= \(\frac{3}{2}\)o

\(\frac{3}{2}\)

Probability is a branch of mathematics that deals with the study of random events or experiments. It involves the analysis of the likelihood or chance of an event occurring, usually expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.

To know more about Probablity, click here,

https://brainly.com/question/16722133

#SPJ1

Answer:

  70 ft

Step-by-step explanation:

You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.

Each inch represents 10 feet, so 7 inches will represent ...

  7 × 10 ft = 70 ft

The gym is 70 ft wide.

__

Additional comment

You can also write and solve an equation that shows the measures are proportional:

  actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)

Multiplying both sides of this proportion by 7 in, we have ...

  gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft

Answer:

x = 1

Step-by-step explanation:

We have the equation 2(5x + 8) = 6x + 20 and are asked to find the solution, to do so, we need to isolate x.

First off, we need to get rid of the parenthesis, so distribute the 2 to the 5x and 8 :

2(5x + 8)

(5x(2) + 8(2))

10x + 16

10x + 16 = 6x + 20

Now we can't have x on both sides, so subtract 6x to both sides :

4x + 16 = 20

Now we need to isolate the number with x, subtract 16 from both sides :

4x = 4

Now to extract the coefficient from the variable, divide both sides by 4 :

x = 1

Answer:

x = 1

Step-by-step explanation:

2(5x+8)=6x+20

10 + 16 = 6 + 20

10 + 16 − 16 = 6 + 20 − 16

10 = 6 + 4

4x = 4

x = 1

hope this helps!! p.s. i really need brainliest :)

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

Learn more about area, click;

https://brainly.com/question/27683633

#SPJ1

Answer:

the answer is 33

Step-by-step explanation:

9 + 2^2 x 8 - 2^3 = 33

Answer:

33

Step-by-step explanation:

9 + 2² * 8 -2^3

--> 9 + 4 * 8 - 8

--> 9 + 32 -8

--> 33

Answer:

A is the right answer

Step-by-step explanation:

using distributive property

4*x + 2*4

4x+8

Answer:

We conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

We conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

Step-by-step explanation:

We are given a random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen;

1.10, 5.09, 0.97, 1.59, 4.60, 0.32, 0.55, 1.45, 0.14, 4.47, 1.20, 3.50, 5.02, 4.67, 5.22, 2.69, 3.98, 3.17, 3.03, 2.21, 0.69, 4.47, 3.31, 1.17, 0.76, 1.17, 1.57, 2.62, 1.66, 2.05.

Let \(\mu\) = true average percentage of organic matter

So, Null Hypothesis, \(H_0\) : \(\mu\) = 3%      {means that the true average percentage of organic matter in such soil is 3%}

Alternate Hypothesis, \(H_A\) : \(\mu \neq\) 3%      {means that the true average percentage of organic matter in such soil is something other than 3%}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                         T.S.  =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean percentage of organic matter = 2.481%

             s = sample standard deviation = 1.616%

            n = sample of soil specimens = 30

So, the test statistics =  \(\frac{2.481-3}{\frac{1.616}{\sqrt{30} } }\)  ~ \(t_2_9\)

                                     =  -1.76

The value of t-test statistics is -1.76.

(a) Now, at 10% level of significance the t table gives a critical value of -1.699 and 1.699 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

(b) Now, at 5% level of significance the t table gives a critical value of -2.045 and 2.045 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

Answer:

Sphere's surface \(\approx 676.47\,\,cm^2\)

Step-by-step explanation:

Recall that the circumference of a sphere is related to the sphere's radius (R) via:

\(circumference=2\,*\,\pi\,*\,R\)

So we can solve for the radius R:

\(circumference=2\,*\,\pi\,*\,R\\46.1=2\,\pi\,R\\R=\frac{46.1}{2\,\pi} \\R=7.337\,\,cm\)

Now with this information we can find the surface area of the sphere using the formula:

\(Surface= 4\,\pi\,R^2\\Surface=4\,\pi\,(7.337)^2\\Surface\approx 676.47\,\,cm^2\)

Answer:

yo no hablo

Step-by-step explanation:

Answer:

The answer c

Step-by-step explanation:

The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

Read more about percentage at

brainly.com/question/15056889

#SPJ1

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

u = 156.25

Step-by-step explanation:

Step 1: Write equation

31.25 = u/5

Step 2: Solve for u

Step 3: Check

Plug in u to verify it's a solution.

31.25 = 156.25/5

31.25 = 31.25

Answer:

156.25

Step-by-step explanation:

if you multiply 31.25 times 5 you get 156.25

Answer:

x+3

Step-by-step explanation:

Kofi is 3 years older than Ama, so the answer is "x+3".

that's what it's graph looks like.

Step-by-step explanation:

\( |2w + 8| \geqslant 15\)

\( \implies \mathsf{2w + 8 \geqslant 15 \: }\\ \mathsf{or }\\ \mathsf{ \: 2w + 8 \leqslant - 15}\)

(that's a property, if |x| >= a

=> x >= a or x <= -a)

\( \implies \mathsf{2w \geqslant 15 - 8\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant - 15 - 8}\)

\(\implies \mathsf{2w \geqslant 7\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant -23}\)

\(\implies \mathsf{w \geqslant \frac{7}{2} \: }\\ \mathsf{or }\\ \mathsf{ \: w \leqslant \frac{ - 23}{2} }\)

Answer: 2.63

Step-by-step explanation:

Using the formula \(A=\frac{1}{2} ab \sin C\),

\(6\sqrt{2}=\frac{1}{2}(2x-1)(x+3) \sin 45^{\circ}\\\\6\sqrt{2}=\frac{(2x-1)(x+3)}{2} \cdot \frac{\sqrt{2}}{2}\\\\6=\frac{(2x-1)(x+3)}{4}\\\\24=(2x-1)(x+3)\\\\24=2x^2 +5x-3\\\\2x^2 +5x-27=0\\\\x=\frac{-5 +\sqrt{5^2 -4(2)(27)}}{2(2)} \text{ } (x > 0)\\\\x=\frac{\sqrt{241}-5}{4} \approx 2.63\)

\(\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x^2-9}{x^2+2x-3}\)

\(\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{(x+3)(x-3)}{x^2+3x-x-3}\)

\(\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{\cancel{(x+3)}(x-3)}{\cancel{(x+3)}(x-1)}\)

\(\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x-3}{x-1}\)

\(\\ \sf{:}\Rrightarrow \dfrac{-3-3}{-3-1}\)

\(\\ \sf{:}\Rrightarrow \dfrac{-6}{-4}\)

\(\\ \sf{:}\Rrightarrow \dfrac{3}{2}\)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

\(\fbox{\begin{minipage}{4em}Yes, it is\end{minipage}}\)

Step-by-step explanation:

3x - 6y = 24

Divide both sides by 6:

(3/6)x - (6/6)y = 24/6

Simplify:

(1/2)x - y = 4

Move y to the right side, 4 to the left side, and change sign of y and 4:

(1/2)x - 4 = y

Rearrange both sides:

y= (1/2)x - 4

Hope this helps!

:)

The simplified expression of the given expression is 4√2

From the question, we have the following parameters that can be used in our computation:

√32

Express 32 as 16 * 2

So, we have

√32 = √16 * √2

Evaluate the radicand

√32 = 4√2

HEnce, the solution is 4√2

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

Step-by-step explanation:

We need to find the difference in progress:

The first student is 1/12 ahead

Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

Answer:

D. 113

Step-by-step explanation:

They are the same angles

Answer:

5 cups of flour.

Step-by-step explanation:

I know the wording of the problem may be confusing at first, but if you look at it a little bit, it's just multiplication and division.

To start,

12 biscuits require 2 cups of flour,

meaning that 6 biscuits (half of the original) only require 1 cup.

(12/2 = 6)

Next,

We need to find how much flour is in 30 biscuits.

We know that 1 cup is in 6 biscuits, and if you were to find how much was in 30 biscuits, you would just need to divide 30 by 6.

(30/6 = 5)

5 cups of flour would be your answer.

To put it mathematically,

(12/2 = 6), (30/6 = 5)

Answer:

2 pies

Step-by-step explanation:

We need to do 2/3*3

This equals 2 pies.

Answer:2 pies he ate in total

Step-by-step explanation: