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2 years ago

32. The debate team plans to make and sell trail

Mathematics

1 answer:

Paraphin [41]2 years ago

8 0

Answer:

Step-by-step explanation:

The first equation has to be the ratio of raisins to sunflower seeds. If r is raisins and p is sunflower seeds and there are 3 times as many raisins as sunflower seeds then the first equation must be 3r=p

The second equation should model the prices properly. Raisins are 1.5 per pound and sunflower seeds are 4 per pound, because of this we should have 1.5r (r being each pound of raisins) and 4p (p being each pound of sunflower seeds). From this we know the second equation must be 4p+1.5r=34

You might be interested in

Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Factoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

8 0

3 years ago

Read 2 more answers

Hi!

solniwko [45]

Answer:

$y = 1x - 4$

Step-by-step explanation:

You have to solve for the x intercept on the equation

$2x-5y=8\\2x-5(0)=8\\2x=8\\x=4\\(4,0)$

That is the x intercept for that equation.

Then solve for the y intercept on the equation

$4x-3y=12\\4(0)-3y=12\\-3y=12\\y=-4\\(0,-4)$

That is the x intercept for that equation.

Use that to find slope for point slope form

$\frac{y_{2}-y_{1}}{x_{2}-_{1}} \\\\\frac{-4-0}{0-4} \\\\\frac{-4}{-4} \\\\1$

1 is the slope

and slope makes B the y intercept so the equation is

$y = 1x - 4$

8 0

3 years ago

A drawer contains 4 white socks, 5 black socks, and 3 brown socks. Find the probability that...

IRINA_888 [86]

Answer:

5/12

7/12

125/36 = 3,47%

50/11 = 4,54%

Step-by-step explanation:

Probability a black sock is selected when a person chooses 1 sock = 5/12

Probability a white or brown sock is selected when a person chooses 1 sock =

7/12

Probability a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are replace = (4/12 * 5/12 * 3/12)*100 =125/36 = 3,47%

Pobability a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are NOT replace = (4/12 * 5/11 * 3/ 10)*100 = 50/11 = 4,54%

3 0

3 years ago

Simplify: ^4square root 400/ ^4square root 5 show your work

Rainbow [258]

⁴√400 / ⁴√5 = 400^¼ / 5^¼
= (5 x 2²)² / 5^¼
= 5² x 2⁴ / 5^¼
= ⁴√5^7 x 2⁴

7 0

3 years ago

Identify the first 4 terms in the geometric sequence given by the explicit formula ƒ(n) = 4 × 2(n – 1). Question 3 options: A) 4

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Hello, please consider the following.