MATHEMATICS HIGH SCHOOL

The diameter of the Starbucks venti(large) lid is 3.3 inches. The tall(small) gas a diameter of 2.6 inches. What is the difference in the circumference of the two cups?

Answers

Answer 1

Answer:

Answer:

0.7π ≈ 2.2 inches

Step-by-step explanation:

The circumference is computed from ...

C = πd

Then the difference in circumferences for two different diameters is ...

$C_2-C_1=\pi d_2-\pi d_1 = \pi(d_2-d_1)\n\n=\pi(3.3-2.6)=0.7\pi \quad\text{inches}$

0.7π ≈ 2.2

The difference in circumference of the two lids is about 2.2 inches.

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For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output? A. Both compositions produce the same output B. Neither composition produces an output. C. f(g(x)) produces the greatest output. D. g(f(x)) produces the greatest output.

Answers

f(g(x)) = 2(5x+1)-6 = 10x+2-6 = 10x-4

g(f(x)) = 5(2x-6)+1 = 10x-30+1 = 10-29

10x-4>10-29 because from f(g(x)) you subtract less quantity.
The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.

Answer:

-24

Step-by-step explanation:

In a group of 50 patrons, 12 patrons like lattes, 11 patrons like espressos, and 6 patrons like both coffee drinks. How many patrons don't like either of the coffee drinks?

Answers

There will be 21 patrons that don't like either of the coffee drinks.

12x - 23 + 2x = -5

Solve the math equation above?

Answers

$12x-23+2x=-5$

combine the like terms (x) so,

$12x+2x-23=-5$

so, this will give you: $14x-23=-5$

now, remove the numbers

so, $14x=-5+23$

this will give you : $14x+18$

$x = (18)/(14)$

$x = 1.285714286$

12x - 23 + 2x = -5
14x-23=-5 /+23
14x=18
x=18/14=9/7
x= $1 (2)/(7)$

Can someone help me

Answers

Wish I could sorry 0 brain cells

What is the volume of this rectangular prism?

Answers

Answer:

$(64)/(27) cm^3$

Step-by-step explanation:

V = L*W*H

V= (4/3)*(4/3)*(4/3)

Volume = $(64)/(27) cm^3$

Larry needed to by 5 books at the same price. After he uses a $30 gift card, he can spend no more than $50. What is the maximum cost of each book that he can buy?

Answers

Answer:

The maximum cost of each book will be $14 that Larry can buy.

Step-by-step explanation:

Given:

Gift card = $30

Maximum amount can be spend = $50

number of books need to buy = 5

We need to find maximum cost of each book.

Solution:

Let the cost of each book be 'x'.

So we can say that;

Sum of money of gift card and maximum money he can spend should be greater than or equal to number of books need to buy multiplied by cost of each book.

framing in equation form we get;

$5x\leq 30+50\n\n5x\leq 80$

Dividing both side by 5 we get;

$(5x)/(5)\leq (80)/(5)\n\nx\leq\$14$

Hence The maximum cost of each book will be $14 that Larry can buy.

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