Which expressions are equivalent to 6m+5(n+m)?
7m + 5n
11m + 5n
12m + n
6m + 5n + 5m
6(m + 5n + 5m)

Answer:

Option A for part (a) and Option B for part (b)

Step-by-step explanation:

Step 1:  Determine the ratios in part a

First Batch --> 8 minutes / 2 customers = 4 minutes per customer

Second Batch --> 18 minutes / 6 customers = 3 minutes per customer

Third Batch --> 21 minutes / 7 customers = 3 minutes per customer

In part (a) we would choose option a which is that it does not always take the same amount of time to serve each customer.

Step 2:  Determine the ratios in part b

First Batch --> 27 points / 3 dollars = 9 points per dollar

Second Batch --> 45 points / 5 dollars = 9 points per dollar

Third Batch --> 63 points / 7 dollars = 9 points per dollar

In part(b) would choose option b which is that each dollar spent appears to earn the same number of points which would give us 8 dollars for 72 points.

Answer: Option A for part (a) and Option B for part (b)

Answer:

432 pi  cm^3

Step-by-step explanation:

volume = 1/3  pi * r^2 h

               = 1/3 pi (81)(16) = 432 pi  cm^3

Answer:

6.25π or 19.625

Step-by-step explanation:

Diameter=2r

Area=πr^2

We need to find the radius (5/2=2.5)

Plug in 2.5 for the area forumla= π2.5^2

Solve = 6.25π

Answer:

960 cm^3

Step-by-step explanation:

The volume of any object is found by multiplying the area of the base times the height. I'll use the triangular sides as the base in this case. The area of the triangle is (bh)/2, so this calculation is:

(16x12)/2 = 96

The height is 10, so Volume is 96 x 10 = 960 cm^3

Answer:

1/9

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A - 1.57 + 0.23 = 1.80

B- 1.09 + 0.76 = 1.85

C- 0.98 + 0.89 = 1.87

D - 1.18 + 0.68 = 1.86

C has the greater sum

Answer:

Step-by-step explanation:

Use the slope formula.

Slope formula:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]

[tex]\sf{y_2=9}\\\\\sf{y_1=6}\\\\\sf{x_2=10}\\\\\sf{x_1=3}[/tex]

Solution: Rewrite it down.

[tex]\sf{\dfrac{9-6}{10-3}=\boxed{\sf{\dfrac{3}{7}}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

12

Step-by-step explanation:

Differentiate the equation. It will give you -1/6x + 2 = dy/dx.

Let dy/dx = 0 (you do this because the highest point is usually the turning point. The gradient is zero at the turning point, meaning that you'd have to set dy/dx to be zero to figure out the highest point).

Then rearrage for x

-1/6x+2=0

1/6x = 2

x = 12

Answer:

Step-by-step explanation:

When we add the area of semicircle I and III  of same radius, we get a cirlce.

diameter = 48 cm

r = 48/2 = 24 cm

Area of I and III = area of circle

                         = πr²

                         = 3.14 * 24 *24

                         = 1808.6 cm²

Figure II:

length =  diameter of the bigger semicircle = 48 cm

width = diameter of the smaller circle = 14 cm

Area of rectangle (figure II) = length *width

                                            = 48 * 14

                                            = 672 cm²

Smaller semicircle A & B

diameter = 14 cm

r = 14/2 = 7 cm

Area of Semicircle A & B = Area of a circle

                                         [tex]\sf = \dfrac{22}{7}*7*7\\\\ = 22*7\\\\= 154 \ cm^{2}[/tex]

Area of shaded region =  area of rectangle II + area of figure I & III - area of A &B

            = 672 + 1808.6   - 154

           =  2326.6cm²

Answer:

See below

Step-by-step explanation:

I assume you want the quadratic that has these values

Vertex form of this parabola

y = a(x- - 1)^2  + 4     insert the given point to calculate 'a'

8 = a (1 + 1)^2 + 4    shows a = 1

y = (x+1)^2 + 4         expand this  vertex form to get the quadratic form

y = x^2 + 2x + 5

Answer:

Step-by-step explanation:

The total number of marbles is 6 + 8 + 4 = 18]

If the first marble drawn is yellow, that happens with a probability of 8/18

So the important thing to note is that now there are 17 marbles,

Now a red marble is drawn. We didn't replace the yellow.

There are 6 red marbles.

So the chances of getting a red marble is 6/17

Answer. P(Y then R) = 8/18 * 6/17 = 48/306

48 / 306 reduces down to 8/51  = 0.156

Answer:

There is a difference because in the spring, there may be more days of rain, therefore that would increase the mean for the spring compared to the other days.

Step-by-step explanation:

Answer:

There is a difference since there could be more rainy days in the spring than on other days. As a result, the mean for the spring would be higher than on other days.

Step-by-step explanation:

Hope this helps!

Have a great day!

Answer:

30 units

Step-by-step explanation:

IF it is a right triangle AND these are the LEGS then the hypotenuse = 13

5+12 + 13 = 30

Wheel Diameter = Wheel 3 x Radius

10 cm / 3 = 3.3 = 3 cm

for one rotation of a wheel the distance travelled = circumfrence of the wheel

Answer:

1) 11760

2) 7938

3) 9261

Step-by-step explanation:

hope this helps

Answer:

6.167

Step-by-step explanation:

1 + 2/3 - (-9/2)

1 + 2/3 + 9/2

Taking LCM (1 x 2 x 3)

6/6 + 4/6 + 27/6

6 + 4 + 27/6

37/6

6.167 Ans

Answer:

4. $3500​

Step-by-step explanation:

Because 70% of 5000 = 3500

Hope This Helps

Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.

In a Venn probability, two non-independent events are related to each other, as are their probabilities.

The "or probability" is given by:

[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)[/tex]

In this problem, the events are:

Event A: Brake defect.

Event B: Chain defect.

For the probabilities, we have that:

Substitute all the values in the formula

[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03[/tex]

0.03 = 3% probability of a chain defect.

Hence, there is a 0.03 = 3% probability of a chain defect.

You can learn more about Venn probabilities at brainly.com/question/25698611

Answer:

D

Step-by-step explanation:

Answer:

27.25 Years Old

Step-by-step explanation:

Find the total age of the 17 golfers.

52(17) = 884

Find total age of the 9 golfers.

9(74) = 666

Subtract.

884 - 666 = 218

Divide by the 8 golfers.

218/8 = 27.25

Answer:

The graph y = 18x2 + mx + 2= 12

So the answer is 12

The value of m does the graph of y = 18 x² + m x + 2 have exactly one x-intercept is 12.

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

We have Equation.

y = 18 x² + m x + 2

Now, to find exactly one intercept we will use Discriminant Method as

D = m² - 4 x 18 x 2 = 0

m² - 144 = 0

m² = 144

m = -12 or m = 12

Thus, the required value of m is 12.

Learn more about Intercept here:

https://brainly.com/question/1530139

#SPJ7

Answer:

3/10

Step-by-step explanation:

12+9+9=30

9 of those are solid

9 out of 30

simplified is 3/10

Answer: 3/10

Step-by-step explanation:

Step-by-step explanation:

I think they are all in order already

Answer:

[tex]c = 2\pi r \ \\ 2 \times \pi \times 3 \\ = 6\pi[/tex]

Answer:

109 - -37 = 146

Step-by-step explanation:

since you are subtracting a negative, the negative number and the sign cancel each other out. So all you have to do is add.

Answer:

3 gallons per 4 minutes

Step-by-step explanation:

two point are given

(4 minutes, 3 gallons) and

(8 minutes, 6 gallons)

The question asks about gallons (there is an increase of 3 gallons)

per minute (there is an increase of 4 minutes)

or .75 gallons per one minute

Step-by-step explanation:

Given: 3x - 6 + 4b+ 5 + 7 -2x

x - 6 + 4b + 12

x +6 + 4b