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3 years ago

10

Mrs.chen poured 5 liters of syrup equally into 8 jugs. How much syrup was there in each jug? Give the answer in liters correct t

o 2 decimal places

1 answer:

irina [24]3 years ago

7 0

5/8 of a liter of syrup, or 0.625

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A person stands 15 feet from the base of a building. The height of the building is 27 feet. Find the distance from the person to

Temka [501]

Answer:

30.9ft

Step-by-step explanation:

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2 years ago

If the equation y=2x-1 is translated down six units, the new equation would be...

leonid [27]

Answer:

2x-6

Step-by-step explanation:

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2 years ago

Solve for A if is 3.14 and R = 3

gavmur [86]

Answer:

A = 28.26

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

Equation: A = πr²

Given: π = 3.14, r = 3

<u>Step 2: Evaluate</u>

Substitute: A = 3.14(3)²
Exponents: A = 3.14(9)
Multiply: A = 28.26

5 0

2 years ago

5-4. Solve each of the following equations for the indicated variable. Use your Equation Mat if it is helpful. Write down each o

balu736 [363]

QUESTION 1

The given equation is :

$2(y - 3) = 4$
We want to solve for y. This means we have to isolate y on one side of the equation while all other constants are also on the other side of the equation,

We first divide both sides by 2 to obtain,

$\frac{2(y - 3)}{2} = \frac{4}{2}$

We cancel out the common factors to get,

$y - 3 = 2$

We now group like terms to get,

$y = 3 + 2$

We simplify to obtain,

$y = 5$

QUESTION 2

The given equation is

$2x + 5y = 10$
We want to solve for x. This means that we need to isolate x on one side of the equation, while all other variables and constant are also on the other side of the equation.

This implies that,

$2x= 10 - 5y$

We now divide through by 2, to obtain,

$\frac{2x}{2} = \frac{10}{2} - \frac{5y}{2}$

This will now give us,

$x = 5 - \frac{5}{2} y$

QUESTION 3

The given equation is
$6x + 3y = 4y + 11$

We want to solve for y. This means that we need to isolate y on one side of the equation, while all other variables and constants are also on the other side of the equation.

We first of all group all the y terms on one side of the equation to obtain,

$6x - 11 = 4y - 3y$

We simplify to get,

$6x - 11 = y$

This implies that,

$y = 6x - 11$

QUESTION 4

The given equation is,

$3(2x + 4) = 2 + 6x + 10$

We want to solve for x. This means that we need to isolate x on one side of the equation, while all other variables and constant are also on the other side of the equation.

Let us first expand the brackets to get,

$6x + 12 = 2 + 6x + 10$
This implies that

$6x + 12 = 6x + 12$

We group like terms to get,

$6x - 6x = 12 - 12$

We now simplify both sides to get,

$0x = 0$

We don't want x to vanish, so let us try to divide both sides by zero to get,

$x = \frac{0}{0}$

This is an indeterminate form, which implies that, x has infinitely many solutions. This means that all the real numbers are solution to the equation.

$\therefore \: x \in \: R$

QUESTION 5

The given equation is,

$y = - 3x + 6$

We want to solve for x, so we add the additive inverse of 6, which is -6 to both sides of the equation to get,

$y - 6 = - 3x$

We rewrite this to obtain,

$- 3x = y - 6$

We divide through by -3 to get,

$\frac{ - 3x}{ - 3} = \frac{y}{ - 3} - \frac{6}{ - 3}$

This will give us,

$x = - \frac{y}{3} + 2$

or

$x= 2 - \frac{1}{3} y$

5 0

2 years ago

Felix's washing machine uses 6 gallons of water. How much water does it use in liters? A gallon is approximately 3.79 liters. Ro

dlinn [17]

Answer:

22.74 liters

Step-by-step explanation:

GIven data

Felix's washing machine uses 6 gallons of water

we are told that A gallon is approximately 3.79 liters

Hence if a gallon is approximately 3.79 liters

then 6 gallons of water will be x liters

cross multiply we have

x= 6*3.79

x= 22.74 liters

Hence 6 gallon will be 22.74 liters

7 0

2 years ago