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2 years ago

Solve the inequality. 5(w - 3) < 5w + 20

Mathematics

2 answers:

saveliy_v [14]2 years ago

7 0

Answer:

-15 < 20

Step-by-step explanation:

5(w - 3) < 5w + 20

Distribute;

5w - 15 < 5w + 20

Subtract 5w from both sides;

-15 < 20

GenaCL600 [577]2 years ago

6 0

Answer:

w<5

Step-by-step explanation:

(5*w-3*5)<5w+20

5w-15<5w+20

5w-5w<20-15

w<5

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Which story problem is solved using multiplication? Answer options with 5 options

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3 years ago

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Answer the question math

Lerok [7]

Answer:

$7y-10$

Step-by-step explanation:

$9y-\frac{1}{2}\left(4y+20\right)$

To simplify this expression, first use the distributive property to distribute $\frac{1}{2}$ .

$9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)$

Simplify.

$9y+-2y+-10$

Combine like terms, $9y$ and $-2y$ .

$7y-10$

The simplification of $9y-\frac{1}{2}(4y+20)$ is $7y-10$ .

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2 years ago

Christian sets aside $60 per month for daily coffee. McDonalds sells coffee for $1, and The Bean Sprout sells a cup of coffee fo

VladimirAG [237]

Since Christian sets aside $60 per month for daily coffee, and McDonalds sells coffee for $ 1, and The Bean Sprout sells a cup of coffee for $3, to create an equation that represents the combinations of coffee options that allow Christian to stay in his budget and provide 2 combinations that use his entire budget, 1 combination that would be under budget, and 1 combination that would be over his budget, the following linear equation must be proposed:

M + BS = 60

2 combinations using the entire budget =

15 McDonalds + 15 The Bean Sprout = 15 + 45 = 60
30 McDonalds + 10 The Bean Sprout = 30 + 30 = 60

1 combination under budget =

15 McDonalds + 10 The Bean Sprout = 15 + 30 = 45

1 combination over budget =

30 McDonalds + 30 The Bean Sprout = 30 + 90 = 120

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2 years ago

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Step-by-step explanation:

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2 years ago

Multiplying Powers with the Same Base

Luda [366]

Applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. $5 \times 5^3 = 5^4$

2. $5 \times 5^3 = 5^4$

3. $5^{-3} \times 5^{-3} = \frac{1}{5^6}$

4. $5^{-4} \times 5^{4} \times 5^0 = 5^0$

5. $5^{7} \times 5^{3} = 5^{10}$

To multiply the powers having the same base, we will apply the product rule for exponents.

<h3>What is the Product Rule for Exponents?</h3>

Base on the product rule for exponents, we have, $a^m \times a^n = a^{m + n} = a^{mn}$ .
In order to find the products of two given numbers that have the same base, the exponents would be added together.