MATHEMATICS HIGH SCHOOL

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies. If the baker would like to make 480 cookies, how much baking soda will be required?

Answers

Answer 1

Answer:

It would require 40 teaspoons

Step-by-step explanation:

Given that;

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies

The amount of teaspoons of baking soda required per cookie is;

r = 3/36 teaspoons per cookie

So, for 480 cookies i would require;

N = r × 480 cookies

Substituting r, we have;

N = 3/36 teaspoons per cookie × 480 cookies

N = 40 teaspoons

It would require 40 teaspoons

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Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00. She then uses her calculator to determine her new balance. Which of the following is the correct series of keys she should press? A.ON/C 6 8 + 7 5 = 5 = 6 2 . 5 0B. 6 8 + 75 – 5 – 6 2 . 5 0C. ON/C 6 8– 5 – 6 2 . 5 0 + 7 5 =D. 6 8 + 75 – 6 2 5 0 – 5 =
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The formula P = ns gives the formula for the perimeter of a regular polygon with n sides and side length s.What is the length of each side of a regular octagon with a perimeter of 54.4 cm? A regular octagon has 8 equal sides.

Answers

P= 54.4
n=8
s=?
Divide P(54.4) by n(8) and you get s(6.8).

Point Mis on line segment LN. Given LN = 9, MN. = 4x, andLM = 5x, determine the numerical length of MN.

Answers

Answer: 4

Step-by-step explanation:

3. Teesha is in french club. there are 19 students in the club. The french teacher will pick two students at random to guide visiting students from France. What is the probability that Teesha will not be picked up as a guide. A. 2/19
B. 17/19
C. 1/18
D. 18/19

Answers

I think the answer is D! Hope that helps! Let me know if I’m wrong tho!!!

|2x-3| < 9 solve for x

Answers

$|2x-3| < 9 \n \n2x-3 < 9 \ \ and \ \ 2x-3 > -9 \n \n 2x < 9 +3 \ \ and \ \ 2x > -9 +3 \n \n 2x < 12\ \ and \ \ 2x > -6 \n \n x < 6\ \ and \ \ x > - 3 \n \n x \in (-3,6)$

$|2x-3| < 9\iff2x-3 < 9\ \wedge\ 2x-3 > -9\n\n2x < 9+3\ \wedge\ 2x > -9+3\n\n2x < 12\ \wedge\ 2x > -6\n\nx < 6\ \wedge\ x > -3\n\n\nx\in(-3;\ 6)$

A pie is cut into eight pieces.at what acute angle is each piece cut?

Answers

I really don't now but a pie is a circle right and a circle is 360 degrees. So would it be 360 ÷ 8 = 45

A team of three laborers in Mongolia makes rugs by hand for export to the United States. The team works 14 hours a day, six days a week, 50 weeks a year, and is able to make 12 rugs a year. Each laborer is paid a wage that is equivalent to $1.10 per day. The rugs sell for $2,000 each in the United States.

Answers

Given:
3 laborers
works 14 hours a day, 6 days a week, 50 weeks a year
makes 12 rugs a year
material cost 50 per rug
Each laborer is paid a wage of 1.10 per day
rugs sell for 2,000 each in the US
fixed cost 10,000 per year

1.10 per day * # days per year * 3 laborers
50 weeks;/y * 6 days/week = 50 * 6 = 300 days a year
1.10 per day * 300 days a year * 3 laborers = 990 total labor cost

total material cost:
50 per rug * 12 rugs = 600

total revenue:
2,000 x 12 rugs = 24,000

total profit:
total revenue: 24,000
less:
material cost 600
labor cost 990
fixed cost 10,000
profit 12,410

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