Kenneth's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 63 caffeinated
teas and 7 decaffeinated teas. What percentage of the teas served were caffeinated?

Answer: A

Step-by-step explanation:

Box A has a greater value than Box B. Expression of box A on being solved will result in a bigger value than that of box B.

Expression, in mathematics, is a combination of numbers, variables, functions, etc in a meaningful way.

Without multiplying, it is needed to compare both expressions.

As in the operation 'multiplication', numbers can interchange their position around the symbol '×', so, changing places of 4 and 8 in the numerator of the expression of box A,

Box A: [tex]\dfrac{8}{5} \times \dfrac{4}{9}[/tex].

The first fractions in both expressions are the same now in both boxes, so the expression having a bigger second expression will have the greater value.

To compare the second terms of both expressions, make the denominator equal:

Box A: [tex]\dfrac{8}{9} = \dfrac{8}{9} \times\dfrac{2}{2} = \dfrac{16}{18}[/tex]

Box B: [tex]\dfrac{1}{2} =\dfrac{1}{2} \times \dfrac{9}{9} = \dfrac{9}{18}[/tex]

Since, [tex]\dfrac{16}{18}\geq \dfrac{9}{18}[/tex] as [tex]16 \geq 9[/tex],

Therefore, the expression in Box A is greater than that of Box B.

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The complete question is as follows:

Without multiplying the numbers in each box, explain which box has the greater value

Box A: [tex]\dfrac{4}{5} \times \dfrac{8}{9}[/tex]

Box B: [tex]\dfrac{8}{5} \times \dfrac{1}{2}[/tex].

Answer:

Step-by-step explanation:

Since x = 60°, the other acute angle A is 30°

We have 30-60-90 right triangle

This triangle has side ratios:

The ratios give us:

Correct choice is B

Answer:

Step-by-step explanation:

B) 8

Step-by-step explanation:

Given

x = 60°

BC = 4

To find

AB = ?

Solution

Since x = 60°, the other acute angle A is 30°

We have 30-60-90 right triangle

This triangle has side ratios:

1 : √3 : 2

The ratios give us:

AB/BC = 2

AB = 2*BC

AB = 2*4

AB = 8

Correct choice is B

Answer: 24/100 more

Step-by-step explanation:

Answer:

kendall ate 24/100 more than parker

Answer:

45$?

Step-by-step explanation:

Answer:

Capacity of tank = 44,000 l

Step-by-step explanation:

Given:

Height of tank = 3.5 m

Radius = 2 m

Find:

Capacity of tank

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(2)²(3.5)

Volume of cylinder = 44 m³

1m³ = 1000 l

So,

Capacity of tank = 44  x 1,000

Capacity of tank = 44,000 l

Answer:

2 product of x & adding it from 3 is equals to 5 ..

Answer:

10^4

what grade are you in

lol

Answer:

a translation of 5 units to the right followed of a translation of 2 units up.

Step-by-step explanation:

This seems to be a translation because if we measure the base of both triangles, we can see that the base of the blue triangle is 5 units long, and the base of the red triangle is also 5 units long.

To find the translation in this case, is easier to only analyze one point, so let's call A as the top vertex in the blue triangle and A' as the top vertex in the red triangle.

Here we only need to see the change between A and A'

So first, let's find the coordinates of both points.

The top vertex of the blue triangle is A (-3, 5)

The top vertex of the red triangle is A' (2, 7)

Now we need to find the difference between these points, this is the direct subtraction:

A' - A

(2, 7) -  (-3, 5) =  (2 - (-3), 7 - 5) = (5, 2)

So we get this, (5, 2)

This means that the translation is a motion of 5 units in the x-axis (because the number is positive, this means that the motion is in the positive x-axis)

And a translation of 2 units up.

Then the translation that maps the blue triangle into the red triangle is:

a translation of 5 units to the right followed of a translation of 2 units up.

Answer:

1) 25

2) x=2, 1/3

Step-by-step explanation:

not sure exactly what number of real solutions means since im not in alg anymore but hope this helps. :)

Answer:

We have 4 triangles with base 3 and height 4 and a square with side length 3 so:

Triangles:

The area for a triangle is calculated by [tex]\frac{bh}{2}[/tex] where b is the base and h is the height so we have [tex]\frac{12}{2}\cdot 4[/tex] so we have a total area of 24.

[b]Square:[/b]

The area of a square is calculated by [tex]s^{2}[/tex] where s is the side length so we have the area is 9.

Now we put them together for the surface area so we get 24 + 9 = [tex]\boxed{33}[/tex]

Hope this helped!

(sorry for taking so long, TeX takes so long to type out(Math typesetting software))

Answer:

23

Step-by-step explanation:

To find the area of a circle you need to find the radius. You find the radius by dividing the diameter by 2. So in this case, the radius is 14. Multiply 14 by pi and square your answer for the area.

Answer:

22

Step-by-step explanation:

6(n - 5) - 2

6(9 - 5) - 2

6(4) - 2

24 - 2

22

Answer:

22

Step-by-step explanation:

Because it is the "Correct Answer"

Answer:

Linda will pay back $480 in 6 months. Her final payment will be $819.

Step-by-step explanation:

Answer:

[tex]T_7 = \frac{64}{729}[/tex]

Step-by-step explanation:

Given

[tex]a =1[/tex]

[tex]r = \frac{2}{3}[/tex]

Required

Determine the 7th term

The nth term of a gp is:

[tex]T_n = a * r^{n-1[/tex]

So, we have:

[tex]T_7 = 1 * \frac{2}{3}^{7-1[/tex]

[tex]T_7 = 1 * \frac{2}{3}^{6[/tex]

[tex]T_7 = 1 * \frac{2^6}{3^6}[/tex]

[tex]T_7 = 1 * \frac{64}{729}[/tex]

[tex]T_7 = \frac{64}{729}[/tex]

Step-by-step explanation:

Joesphene is 23 years old, because: 2x=32+14=>2x=46=>x=23 .

Answer:

Josephene is 23 years old

Step-by-step explanation:

First, you can assign the variables x and y to Joseph and Josephene, next you should write an equation. Since Joseph is 14 years younger than twice Josephene's age, you can write the equation x + 14 = 2y, if 32 is substituted in for x and the equation is simplified, you will end up with Josephene's age, 23.

I hope this helps :)

Answer:

Using the formula for Area of circle_

πr²

putting values_

π = 3.14

r² = (5)² = 25.

Therefore,

3.14 × 25

= 78.5

Answer:

wha- okay.. umm Do something funny.......................

☁️ Answer ☁️

Here:

Have a nice day noona!~ ￣▽￣❤️

Answer:

If Jack adopted half of the spaniel puppies, and there are 4 spaniel puppies, that means that he adopted 2 puppies.

If Carmen adopted half of the beagle puppies, and there are 6 beagle puppies, then Carmen adopted 3 puppies. This means that Carmen adopted more puppies than Jack.

Step-by-step explanation:

1/2 of 4 = 2

1/2 of 6 = 3

Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, a shelter had 4 spaniel puppies and 6 beagle puppies.

Jack adopted 1/2 of the spaniel puppies.

That is, 1/2 ×4 =2

Carmen adopted 1/2 of the beagle puppies.

That is, 1/2 ×6 =3

Therefore, Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

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Answer:

Step-by-step explanation:

please count the multiplecation then you would look at the problem measure it into small bits

Answer:

a) 0.0879 = 8.79% probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs.

b) 0.3672 = 36.72% probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need for money to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either it was motivated by a need to buy drugs, or it wasnt. Thefts are independent, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In a certain city district, the need for money to buy drugs is stated as the reason for 75% of all thefts.

This means that [tex]p = 0.75[/tex]

Next 5 theft cases

This means that [tex]n = 5[/tex]

(a) exactly 2 resulted from the need for money to buy drugs;

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.75)^{2}.(0.25)^{3} = 0.0879[/tex]

0.0879 = 8.79% probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs.

(b) at most 3 resulted from the need for money to buy drugs.

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.75)^{0}.(0.25)^{5} = 0.0010[/tex]

[tex]P(X = 1) = C_{5,1}.(0.75)^{1}.(0.25)^{4} = 0.0146[/tex]

[tex]P(X = 2) = C_{5,2}.(0.75)^{2}.(0.25)^{3} = 0.0879[/tex]

[tex]P(X = 3) = C_{5,3}.(0.75)^{3}.(0.25)^{2} = 0.2637[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0010 + 0.0146 + 0.0879 + 0.2637 = 0.3672[/tex]

0.3672 = 36.72% probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need for money to buy drugs.

Answer:

$21 is the correct answer

Answer:

Step-by-step explanation:

First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35

0.35 (40) = 14

35 - 14 = 21

So, the discounted price is now $21.

Answer:

A

Step-by-step explanation:

You can see that every hour the amount of medicine decreases by 1/2. At zero hours it is at 500 and at one hour it is at 250 and it keeps decreasing at the same rate making the answer A.

Answer:

22 gallons

Step-by-step explanation:

280 miles / 56 gallons = 5 miles per gallon

110 miles/5 mpg = 22 gallons

Answer:

28

Step-by-step explanation:

Here is the complete question used in answering this question :

Three-fourths of the boats in the marina are white. 4/7 of the remaining boats are blue , and the rest are red . If there are 9red boats, how many boats are in the marina?

We first have to determine the fraction of the boats that are red

1 - ([tex]\frac{3}{4}[/tex] + [tex]\frac{4}{7}[/tex])

1 - [tex]\frac{21 + 16}{28}[/tex]

1 - [tex]\frac{37}{28}[/tex]

1 - 1[tex]\frac{9}{28}[/tex]

= 9/28

so, 9/28 of the boats are red

let b represent the total number of boats

9/28 x b = 9

to find b, divide both sides of the equation by 28/9

b = 28

Answer:

87/448

Step-by-step explanation:

Answer:

Based On The Survey Data, It Was Estimated That 36% Of Investors Manage Their Investments By Doing Everything They Possibly Can Online. But The Authors Of The Article Also Noted That There Was A Quite A Difference Between . ... random sample of a certain number of U.S. adults with investments of $10,000 or more.

Step-by-step explanation:

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