Irfan manages a coffee shop.
He samples 50 of his customers and asks them about their favourite espresso
coffee capsule.
Taste
His results are shown in the table.
Frequency
Volluto
12
Livanto
7
Ristretto
23
Cosi
3
Other
5
Irfan is going to refill his stock of espresso capsules based on this survey.
He is planning on ordering 500 capsules.
How many of these should be Ristretto capsules? I
Note Please make your final answer clear by writing ... Ristretto capsules
[3]

Answer:

(a) Earnhardt (40%), Gordon (29%), Waltrip (18%), and Petty (13%)

(b) 144, work is below

(c) No

Step-by-step explanation:

(b)

convert 40% to a decimal by dividing by 100 = 0.4

360 x 0.4 = 144 people voted for Earnhardt

(c) converting Petty's percentage to a decimal, we get 0.13. 360 x 0.13 = 46.8, or 47 people, not 65.

Waltrip's percentage, 0.18 x 360 = 64.8, or 65 people.

Answer:

2 or ii

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer: 14

Step-by-step explanation:

The greatest common multiple of 2 and 7 is 1, because they are both prime numbers (numbers that cannot be divided by anything other than one or themselves).

Why bother with the greatest common multiple?

There's a very sneaky formula you can do to calculate the LCM with this.

[tex]lcm(a, b) = \frac{|a * b|}{gcd(a, b)}[/tex]

where lcm(a, b) = the least common multiple of integers a and b (1)

a = integer a (2)

b = integer b (7)

gcd(a, b) = greatest common divisor of integers a and b

So let's use it, we have all the available numbers.

[tex]lcm(a, b) = \frac{|2 * 7|}{1} = 14[/tex]

Answer:

measure or arc BAC should be 297 degrees (with assumptions)

Step-by-step explanation:

Assumption 1: the cap Z in your question is actually an angle symbol

Assumption 2: A is the center of the circle

IF these assumptions are true, then the measure of arc BAC is 36 - 63 = 297 degrees

Answer:

Step-by-step explanation:

Range = maximum value - minimum value

= 25 - 6 = 19

Option D is the correct answer

Answer:

18-x=6

Step-by-step explanation:

because

if you have eighteen and some were borrowed and 6 were left so it will be subtracted

Answer:

18 - x = 6

Step-by-step explanation:

In any equation x is the unkown you are trying to figure out.

In a word-problem-solving question its helpful to set out what you know and what you dont know:

You know the original number of pens = 18

You know the final number of pens = 6

You dont know how many pens were taken.

Therefore x is the difference between 18 and 6.

18 pens take away x pens is equal to 6

hence 18 - x =6

Answer:

x-intercept(s):

None

y-intercept(s):

(0,7+√11),(0,7−√11)Step-by-step explanation:

Answer:

Margarine = 210 gram

Sugar = 180 gram

Syrup = 150 ml

Oats = 360 gram

Raisins = 75 grams

Step-by-step explanation:

Given:

Recipe for 8 flapjacks

140 g margarine

120 g sugar

100 mL syrup

240 g oats

50 g raisins

Find:

Recipe for 12 flapjacks

Computation:

Margarine = [140/8]12

Margarine = 210 gram

Sugar = [120/8]12

Sugar = 180 gram

Syrup = [100/8]12

Syrup = 150 ml

Oats = [240/8]12

Oats = 360 gram

Raisins = [50/8]12

Raisins = 75 grams

Answer:

A.21

Step-by-step explanation:

We can use trigonometry to slove for sides in this triangle...

Using the 60 degree angle...we can solve for x.

We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.

And since we're using tangent, we have to use opposite/adjacent

We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,

and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should

get an answer of 21

Answer:

6

Step-by-step explanation:

Answer:

29 pages

Step-by-step explanation:

Answer: 12°

Step-by-step explanation:

add together 7 and 5 to get the change since 7 is negative

5 to -7 is 12 units

Answer:

2x+3y=4 I don't know the variables so I use x and y

60% as a decimal is 0.60

Multiply the distance by 0.60:

150 x 0.60 = 90 miles.

Answer:

90

Step-by-step explanation:

60 percent is the same as 0.6

150 * 0.6 = 90

Answer:

(4y/3, 0) or if there are no options, it's probably (0, 0)

Step-by-step explanation:

2x + 3y = 5x - y

So we are trying to find the missing value in the solution (_, 0)

We are looking for the x-intercept/root if the coordinate is in this way:  (_, 0)

So to find the root, We are solving for x

2x + 3y = 5x - y

First, subtract 5x from bth sides

2x + 3y - 5x = 5x - y - 5x

2x + 3y - 5x = -y

Add like terms

-3x + 3y = -y

Now, subtract 3y from both sides

-3x + 3y - 3y = -y - 3y

-3x = -4y

Divide both sides by -3

-3x/-3 = -4y/-3

x = -4y/-3

We are not done yet because the answer above is not quite right. A negative number divided by a negative number results in a positive number.

So x = 4y/3

Now that we found x, we can input it to the coordinate

(4y/3, 0)

I put it on Sesmos graphing calculator and the answer seems to be (0, 0)

Answer:

The equation: 6 + 0.5x = 2 + 1x

How many hours till the cost is the same: 8 hours

What will the cost be: $10

Step-by-step explanation:

6 + 0.5x = 2 + 1x

subtract 0.5x from both sides

6 = 2 + 0.5x

subtract 2 from both sides

4 = 0.5x

divide both sides by 0.5

x = 8

Lets check our work:

Garage A:

6 + 0.5(8)

6 + 4 = 10

Garage B:

2 + 1(8)

2 + 8 = 10

After 8 hours the price for both garages will be equal at $10

Answer:

Step-by-step explanation:

f(9) = 3(9)^2 - 1 = 242

f(-2) = 3(-2)^2 - 1 = 11

Answer: The actual area of the base of the building = 4418 square feet.

Step-by-step explanation:

Dimensions of model: 2 inches in length and 1 inch in width.

The scale on the model is 1 inch = 47 feet.

Actual length = 2 x (47 feet) = 94 feet

Actual width = 1 x 47 feet = 47 feet

Actual area of base of building  = (Actual length) x (Actual width)

= 94 x 47 square feet

= 4418 square feet

Hence, the actual area of the base of the building = 4418 square feet.

Answer:

12/5

Step-by-step explanation:

7 1/5=

Answer:

[tex] \frac{36}{5} [/tex]

Step-by-step explanation:

consider downloading photomath

Answer:

the answer is 1:30pm/am

Answer:

5, -7, 18, 14

Step-by-step explanation:

1) x = 5

2) x = -7

3) x = 18

4) x = 14

Answer:

9.14400m

Step-by-step explanation:

Answer:

i got -252

remember pemdas! i dont think youll fail good luck :D

Answer:

-8x

Step-by-step explanation:

Answer:

x/8

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Step-by-step explanation:

Let the amount of money Andre has be $A.

Answer:

+25

Step-by-step explanation:

I know this is old but since it says his uncle GAVE him 25$ as a present, that means he earned money not lost money. So it would be +25.

Answer: y = 3x + 1

Step-by-step explanation:

3 is the slope and 1 is the y-intercept