MATHEMATICS HIGH SCHOOL

Rita is making chili. The recipe calls for 8 3 4 cups of tomatoes. How many cups of tomatoes are used in the recipe? Enter your answer as a fraction greater than 1.

Answers

Answer 1
Answer: How much do you think bruh it’s 8 3/4

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Solve -2 x + 6 = -20.

Answers

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-2x + 6 = -20

Step 2: Solve for x

  1. Subtract 6 on both sides:                    -2x = -26
  2. Divide -2 on both sides:                      x = 13

Step 3: Check

Plug in x into the original equation to verify it's a solution.

  1. Substitute in x:                    -2(13) + 6 = -20
  2. Multiply:                               -26 + 6 = -20
  3. Add:                                     -20 = -20

Here we see that -20 does indeed equal -20.

∴ x = 13 is the solution to the equation.

Answer:

x = 13

Step-by-step explanation:

Subtract 6 from both sides: -2x = -26

divide both side by -2 to isolate x: x = 13

A countrys population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using exponential growth formula. Round your answer to the nearest million. P=Ae to the power kt

Answers

Answer:

171 million

Step-by-step explanation:

Given the exponential growth formula expressed as P = Ae^(kt) where P is the countrys population and t is the time.

Initially in 1991, at t= 0, P = 147 million

P = Ae^(kt)\n147 = Ae^(k(0))\n147 = Ae^0\n147 = A(1)\nA = 147

If by 1998 it was 153 million, this means that the population is 153 million 7 years later i.e when t = 7, P = 153. On substituting into the formula to get the constant 'k';

P = Ae^(kt)\n153 = 147e^(k(7))\n153 = 147e^(7k)\n153/147 = e^(7k)\ne^(7k) = 1.041\nTaking \ ln \ of \ both \ sides\nlne^(7k) = ln 1.041\n7k = 0.04018\nk = 0.04018/7\nk = 0.00574

To estimate the population in 2017, to number of years from 1991 to 2017 is 26 years. Hence we are to find the value of P given t = 27, A = 147 and k = 0.00574

P = Ae^(kt)\nP = 147e^(0.00574*26)\nP = 147e^0.14924\nP = 147*1.16095\nP = 170.659

Hence the population in 2017 using exponential growth formula to the nearest million is 171 million.

Which of the following are the factors of q3 – q2 + 2q – 2?

Answers

Hello,

q^3-q²+2q-2=q²(q-1)+2(q-1)=(q-1)(q²+2)

Suppose you place 16 green, 25 blue, and 9 yellow marbles in a non-transparent bag. you then randomize the marbles by shaking them up thoroughly. assume you then randomly select two marbles from the bag without replacement. what is the probability of selecting two blue marbles?

Answers

Answer: (12)/(49)

Step-by-step explanation:

16 green + 25 blue + 9 yellow = 50 Total

First pick: 25 blue out of 50 total = (25)/(50) = (1)/(2)

Second Pick: 24 blue out of 49 total = (24)/(49)


First Pick    AND    Second Pick

       (1)/(2)           x                (24)/(49)   =        (24)/((2)49)      = (12)/(49)

There are 16 cups in 1 gallon of milk. If the costs of 1 gallon is $4.32, what is the cost of each cup?

Answers

16cups=1gallon

1gallon=$4.32

1cup=$4.32/16=$0.27 

Answer= $0.27 or 27 cents per cup
Just divide 4.32 by 16 and that's your answer...

( your answer is .27 cents)

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form. A y = 3/5x + 4/5
B y = 3/5x - 4/5
C y = -3/5x - 4/5

Answers

y +1 = 3/5(x+3)

y + 1 = 3/5x + 9/5

y =3/5x + 9/5 - 1

y = 3/5x + 9/5 - 5/5

y = 3/5x + 4/5

answer:A y = 3/5x + 4/5
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