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2 years ago

One added to the quotient of m and 3 is less than 2

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

8 0

Answer:

m < 3

Step-by-step explanation:

Step 1: Convert words into an expression

One added to the quotient of m and 3 is less than 2

(m/3) + 1 < 2

Step 2: Subtract 1 from both sides

(m/3) + 1 - 1 < 2 - 1

(m/3) < 1

Step 3: Multiply both sides by 3

(m/3) * 3 < 1 * 3

m < 3

Answer: m < 3

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Given that ABC~LMN What is the length of AC?

sleet_krkn [62]

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

$\frac{AB}{LM} = \frac{AC}{LN}$

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

$\frac{5}{10} = \frac{x + 5}{3x + 3}$

Cross multiply

$5(3x + 3) = 10(x + 5)$

$15x + 15 = 10x + 50$ (distributive property)

Collect like terms

$15x - 10x = -15 + 50$

$5x = 35$

Divide both sides by 5

x = 7

✔️Find AC

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Plug in the value of x

AC = 7 + 5

AC = 12

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3 years ago

Polynomials are written with the exponents of the terms in _____ order.

lozanna [386]

Answer: "...in descending order."

There you go.

6 0

3 years ago

Read 2 more answers

What is the simplified form of this expression 7(^3sqrt2x)-3(^3sqrt16x)-3(^3sqrt8x)

trasher [3.6K]

Answer:

Solution,

$7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\ = 7 \sqrt[3]{2x} - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x} - 3 \times \sqrt[3]{2 \times 2 \times 2x} \\ = 7 \sqrt[3]{2x} - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 3 \times 2 \times \sqrt[3]{2x} - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x$

Hope this helps...

Good luck on your assignment...

7 0

3 years ago

Solve the problem,

Keith_Richards [23]

Answer:

24 boxes, 1 chocolate remaining

Step-by-step explanation:

289 chocolates total, each box is 12.

just divide it and whatever is left will be your remainder.

289/12 = 24 boxes, 1 chocolate remaining

sub to gauthmath sub reddit for more help like this !

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3 years ago

All of the following represent the same ratio except _____. 1 to 5 5/1 5:1

natita [175]

Answer:

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Step-by-step explanation:

Others are saying 5 to 1

7 0

3 years ago

One added to the quotient of m and 3 is less than 2​

One added to the quotient of m and 3 is less than 2