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3 years ago

Translate the phrase into an algebraic expression: the quotient of a number and three.

Mathematics

1 answer:

givi [52]3 years ago

5 0

Answer:

x ÷ 3 or $\frac{x}{3}$

Step-by-step explanation:

Hi there! I'm glad I was able to help you out!

The word 'quotient' implies that we are dividing.

Let's call the unidentified number x, to keep things simple.

The quotient of x and 3 would look like this:

x ÷ 3

Or, it could look like this:

$\frac{x}{3}$

I hope this helped you! Comment below if you have any further questions! :)

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Laila made 12 muffins. Shannon made 10 muffins how many more did Laila make?

sleet_krkn [62]

Answer:

2 more muffins

Step-by-step explanation:

Since,

Given that:

Laila made 12 Muffins

Shannon made 10 Muffins

Question to Answer:
How many more did Laila make?

Solve:

Since it asking how many more laila made that means we have to subtract to find how many more laila has.

As given, we know that Laila made 12 Muffins and Shannon made 10 Muffins then:

Laila Muffins - Shannon Muffins

Which also means:

12 - 10

Which,

12 - 10 = 2

Hence, Laila makes 2 more Muffins than Shannon

Kavinsky

7 0

2 years ago

Read 2 more answers

Solve for : x 4(x+5)=3(x-2)-2(x+2)

Allushta [10]

Hey there!!

In order to solve this equation, we will have to use the distributive property.

What is distributive property?

We will need to distribute one term to the other terms preset.

Example : 4 ( 3x - 1 )

sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1

( 4 × 3x ) + ( 4 × -1 )

12x + ( -4 )

= 12x - 4

This is after implementing the distributive property.

Now moving back onto the question

4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )

Let us first solve 4 ( x + 5 )

Distribute 4 to x and 5

( 4 × x ) + ( 4 × 5 )

4x + 20

Now let's solve 3 ( x - 2 )

Distribute 3 to x and -2

( 3 × x ) + ( 3 × - 2 )

3x - 6

Solve for -2 ( x + 2 )

Distribute -2 to x and 2

( -2 × x ) + ( -2 × 2 )

-2x - 4

Now, let's get everything back together

4x + 20 = 3x - 6 - 2x - 4

Combine all the like terms

4x + 20 = x - 10

Adding 10 on both sides

4x + 20 + 10 = x - 10 + 10

4x + 30 = x

Subtracting 4x on both sides

4x - 4x + 30 = x - 4x

30 = -3x

Dividing by -3 on both sides

30 / -3 = -3x / -3

- 10 = x

<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>

5 0

3 years ago

Tell whether the given number is a solution of each question. ( Must show work for credit)

guajiro [1.7K]

Answer/Step-by-step explanation:

1. $9 = 2a + 3$ ; 3

Let's solve for a.

$9 - 3 = 2a$ (subtraction property of equality)

$6 = 2a$

$\frac{6}{2} = a$ (division property of equality)

$3 = a$

$a = 3$

Therefore, 3 is a solution to 9 = 2a + 3

2. $5n - (-30) = 5$ ; 7

$5n + 30 = 5$ (- × - = +)

$5n = 5 - 30$ (Subtraction property of equality)

$5n = -25$

$\frac{5n}{5} = \frac{-25}{5}$ (division property of equality)

$n = -5$

Therefore, 7 is not a solution of $5n - (-30) = 5$

3. $4.4r - 2.8 = 1.6$ ; 1

$4.4r = 1.6 + 2.8$

$4.4r = 4.4$

$\frac{4.4r}{4.4} = \frac{4.4}{4.4}$

$r = 1$

Therefore, 1 is a solution of $4.4r - 2.8 = 1.6$ .

5 0

3 years ago

I need help with this question please!!!

stealth61 [152]

Answer:

Step-by-step explanation:

Each point of function b(x) is shifted by rule

x -----> ( x - 2 )

and

y -----> (y + 3)

( - 1.5, 0) ------> (- 3.5, 3)

(- 1, - 1) -----> ( - 3, 2)

(0, - 2) ------> ( - 2, 1)

(1, - 1) -----> ( - 1, 2)

(2, 3) -----> (0, 6)

(4, 7) -----> (2, 10)

......

5 0

3 years ago

(6e−3f−4)⋅2= otay otay

Dmitry [639]

Answer:

Step-by-step explanation:

if you need to evaluate the expression:

multiply 2 with the parenthesis

12e-6f-8

8 0

3 years ago

Read 2 more answers