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3 years ago

Can someone help me on the steps for this?

Mathematics

1 answer:

Rudiy273 years ago

3 0

Answer:

x = 13

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
Subtract Property of Equality

Algebra I

Multiple Roots

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Identify

a = 12

b = 5

c = x

Step 2: Solve for x

Substitute in variables [PT]: 12² + 5² = x²
Evaluate exponents: 144 + 25 = x²
Add: 169 = x²
[Equality] Square root both sides: ±13 = x
Rewrite: x = ±13

Since we are dealing with positive numbers, we can disregard the negative root.

∴ x = 13

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3 years ago

When making a batch of orange juice for her basketball team Jackie used 5 times as much water as concentrate. There were 32 more

AnnZ [28]

Answer:

48 cups of orange juice, 24 containers.

Step-by-step explanation:

Given:

Jackie used 5 times as much water as concentrate to make orange juice.

There were 32 more cups of water than concentrate.

Question asked:

How much juice did she make in all ?

She poured the juice in 2 quart containers how many containers could she fill ?

Solution:

Let concentrate used in the juice = $x$

As Jackie used 5 times as much water as concentrate:

Then water used in the juice = $5x$

According to question:

To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice, Jackie used 5 times as much water as concentrate, we will write this as:-

$x+5x=x+x+32\\6x=2x+32\\$

Subtracting both sides by $2x$

$4x=32\\$

Dividing both sides by 4

$x=8$

Concentrate used in the juice = $x$ = 8 cups

Water used in the juice = $5x$ = $5\times8=40\ cups$

Total quantity of juice =8 + 40 = 48 cups

Thus, she made 48 cups of orange juice for her basketball team.

Now, as she poured the juice in 2 quart containers, we have to find number of containers could be filled, we will simply divide total quantity of juice by 2 quart

Number of 2 quart containers = 48 cups $\div$ 2 = 24 containers