Is 12ab + 18a equivalent to a(16b + 24)?
?!??

Answer:

Waiter’s B Large Smoothies showed less variability.

Step-by-step explanation:

First, we have to find the mean for Waiter A’s and Waiter B’s Large Smoothies.

1) Mean

Waiter A

19.1 + 20.1 + 20.9 + 19.6 + 20.9 + 19.5 + 19.2 + 19.4 + 20.3 + 20.9 = 199.9

199.9 / 10 = 19.99

Waiter B

20.1 + 19.6 + 20.0 + 20.5 + 19.8 + 20.0 + 20.1 + 19.7 + 19.9 + 20.4 = 200.1

200.1 / 10 = 20.01

Now, we have to use the Mean Absolute Deviation (MAD) to find which waiter’s smoothies showed less variability.

Waiter A

I19.99 - 19.1I = 0.89

I19.99 - 20.1I = 0.11

I19.99 - 20.9I = 0.91

I19.99 - 19.6I = 0.39

I19.99 - 20.9I = 0.91

I19.99 - 19.5I = 0.49

I19.99 - 19.2I = 0.79

I19.99 - 19.4I = 0.59

I19.99 - 20.3I = 0.31

I19.99 - 20.9I = 0.91

0.89 + 0.11 + 0.91 + 0.39 + 0.91 + 0.49 + 0.79 + 0.59 + 0.31 + 0.91 = 6.3

6.3 / 10 = 0.63

Waiter B

I20.01 - 20.1I = 0.09

I20.01 - 19.6I = 0.41

I20.01 - 20.0I = 0.01

I20.01 - 20.5I = 0.49

I20.01 - 19.8I = 0.21

I20.01 - 20.0I = 0.01

I20.01 - 20.1I = 0.09

I20.01 - 19.7I = 0.4

I20.1 - 19.9I = 0.2

I20.1 - 20.4I = 0.3

0.09 + 0.41 + 0.01 + 0.49 + 0.21 + 0.01 + 0.09 + 0.4 + 0.2 + 0.3 = 2.2

2.2 / 10 = 0.22

Now, we just have to compare those numbers.

0.63 > 0.22

So, Waiter B’s smoothies show less variability.

Answer:

so if it was one hour it would be 100+50

2 hours= 100+100

3=100+ 150

and so on

Step-by-step explanation:

Answer:

45 rupees

Step-by-step explanation:

If the cost of 12 pens is 108 rs, then we need to find the cost for 1 pen. We can divide the 108 rupees by 12 to find the cost per pen. We get 9; now we know that each pen costs 9 rupees and we have 5 pens so 9 times 5 is 45 rupees.

Answer:

C. $16.99

Step-by-step explanation:

The shirt cost after the discount will be $16.99. thus option C is correct.

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

We have been given that a shirt that normally costs $19.99 is on sale for 15% off. we are asked to find the discount on the shirt.

Therefore,

19.99 x 15/100

19.99 x 0.15 = 2.99

Then subtract from the total amount;

19.99 - 2.99 = 16.99

Therefore, the  shirt cost after the discount will be $16.99. thus option C is correct.

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Answer: 152.07

Step-by-step explanation:

answer answer

Step-by-step explanation:

I think $ 152.07

Answer:

40 000

Step-by-step explanation:

Find out what the numbers in the equation add up to excluding the box.

343834 - 300000 - 3000 - 800 - 30 - 4 = 40 000

Answer:

40000

Step-by-step explanation:

300000+3000+800+30+4 = 303834

So,

343834-303834 = 40000

Ans = 40000

Answer:

A. J = 17 + 5

B. J = 22

Jessica has $22.

Answer:

22

Step-by-step explanation:

17+5 because the 5 represents how many more do jessica got and 17 means how much sarah got it total

Answer:

12cm cubed

Step-by-step explanation:

A= base*height/2 so base is 6 just count the squares and height is 4 at the highest point  so just plug those in the formula hopefully its correct

Step-by-step explanation:

The height is 5

and the base is 7

area of triangle = bxh    

                          = 7 x 5

                           = 35 cm2

Answer:

21 km

Step-by-step explanation:

I am not too sure if i did answer that correctly but the distance should not change even if it is in different directions

Answer:

34

Step-by-step explanation:

$1.25 = 125 cents.

$42 = 4200 cents

Tickets sold at 75 cents = x

Tickets sold at 125 cents = y

x + y = 40

75x + 125y = 4200

Multiply the first equation by 75

75x + 75y = 3000

75x + 125y = 4200

Subtract the the second equation from the first.

75x + 75y = 3000

- 75x + 125y = 4200

-------------------------------

0 - 150y = - 1200

Divide both sides by - 150

-150y/-150 = -1200/-150

y = 8

Substitute y = 8 into the first equation

x + y = 42

x + 8 = 42

x = 42 - 8

x = 34

34 tickets were sold for 75 cents

8 tickets were sold for $1.25

You would divide 13 by 754=58

Then 58 times 8= 464

So 464 miles

Answer:

A. 70°

Step-by-step explanation:

Since, TV = TU = 4

[tex] \therefore \: m \angle \: U = m \angle \: V \\(by \: isosceles \: \triangle \: theorem) \\ \because \: m \angle \: V = 70 \degree\\ \\ \therefore \: m \angle \: U = 70 \degree[/tex]

Answer:

5

Step-by-step explanation:

Ask your self which equation you should use. Since it says F(3) then we have to find an equation that would fit this correctly. For example if we look at -X^2, X<-2 we could see that 3 is clearly not less than -2, leading to the conclusion that this is not the right equation.. If you look at the last equation it says that x has to be greater/equal to 0 which is true. So then we are left with the equation...

F(3)=x+2

F(3)=3+2

F(3)=5

The answer is D. 115°

Answer:

The answer is also 115 on USA test prep.

Ans

Step-by-step explanation:]\

To use the simple interest formula, I = Prt, we substitute in the values for ... The money you put in the bank is called the principal, P, and the bank pays ... of t years at an annual interest rate r, the amount of interest, I, earned is ... Nathaly deposited $12,500 in her bank account where it will earn 4% interes

Answer:

C

Step-by-step explanation:

To divide by fractions, we must multiply by the reciprocal of the fraction itself. 8 times 3/1 or just 8 times 3 is the answer

Answer:

y=5

Step-by-step explanation:

Given x=1, the equation would come to be y = 5^1, or y equals 5 to the first power. You'll need to focus on the 5^1, 5 to the first power is 5, that's your answer.

Answer: 6.7 feet

Step-by-step explanation: sin 51= 5.2/x

xsin51= 5.2

xsin 51/sin 51 = 5.2/sin 51

​x= 5.2/sin 51 =6.6911≈ 6.7 feet

The probability of getting chocolates with harder center is 7/15.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, there are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers.

Probability of choosing first chocolate with hard center is

Total number of outcomes =10

Number of favorable outcomes =7

Now, probability is 7/10

Probability of choosing second chocolate with hard center is

Total number of outcomes =9

Number of favorable outcomes =6

Now, probability is 6/9

Probability of an event = 7/10 × 6/9

= 7/10 × 2/3

= 7/5 × 1/3

= 7/15

Therefore, the probability of getting chocolates with harder center is 7/15.

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"Your question is incomplete, probably the complete question/missing part is:"

There are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers. Kyla takes at random a chocolate from the box and eats it. She then takes at random another chocolate from the box and eats it. Find the probability that Kyla chooses both the chocolates with a hard center.

Answer:

5 feets

Step-by-step explanation:

Give the field dimension :

70 feets by 25 feets

The largest possible size if field is divided into squares :

Obtain the greatest common factor of the length and width :

Factors of 70 : 1, 2, 5,7,14, 10, 35

Factors of 25 : 1, 5, 25

The greatest common factor = 5

Hence, the largest possible square plot will have a side length of 5 feets

Answer:

20.4 feet

Step-by-step explanation:

Answer:

$105

Step-by-step explanation:

0.30×150=45

150-45=105

Answer:

1/56 chance

Step-by-step explanation:

3/8 x 2/7 x 1/6 = 1/56

Answer:

Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.

Answer:

a(9) = 150*(0.4)^8 = 0.098304

Step-by-step explanation:

This is a geometric sequence, because each new term is 0.4 times the previous term.

The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1).  Here, with a(1) = 150 and r = 0.4, we have:

a(n) = 150*(0.4)^(n - 1), and so

a(9) = 150*(0.4)^8 = 0.098304

Answer:

2 2/4

Step-by-step explanation: