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3 years ago

Simplify: 2(5 + w) + 3(w + 2)

Mathematics

2 answers:

AlekseyPX3 years ago

7 0

Answer:

16+5w

Step-by-step explanation:

2(5 + w) + 3(w + 2)

5+w evaluates to 5+w

Multiply 2 by 5+w

we multiply 2 by each term in 5+w term by term.

This is the distributive property of multiplication.

Multiply 2 and 5

2 × 5 = 10

Multiply 2 and w

Multiply 1 and w

The w just gets copied along.

2 × w = 2w

2*(5+w) evaluates to 10+2w

w+2 evaluates to w+2

Multiply 3 by w+2

we multiply 3 by each term in w+2 term by term.

This is the distributive property of multiplication.

Multiply 3 and w

Multiply 1 and w

The w just gets copied along.

3 × w = 3w

Multiply 3 and 2

3 × 2 = 6

3*(w+2) evaluates to 3w+6

To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.

10 + 6 = 16

2w + 3w = 5w

The answer is 16+5w

2*(5+w)+3*(w+2) evaluates to 16+5w

The final answer is

16+5w

mash [69]3 years ago

5 0

Answer:

5w+16

Step-by-step explanation:

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1) h(x)=3x3<br>g(x)= - 4x+1<br>Find (h+g)(10)

Aleksandr-060686 [28]

Answer:

$(h+g)(10) = 2691$

Step-by-step explanation:

$h(x) = 3x^3\\g(x) = -4x+1$

Adding both equations will make it:

$(h+g)(x) = 3x^3-4x+1$

Putting x = 10 will make it:

$(h+g)(10) = 3(10)^3-4(10)+1$

= 3(1000)-40+1

= 3000-39

= 2961

3 0

3 years ago

Need help finding this answer

Cloud [144]

Answer: The first option.

Step-by-step explanation:

1. The formula for calculate the perimeter is:

P=2l+2w

Where l is the lenght and w is the width.

2. The first perimeter is:

$P_1=2(105m)+2(12.5m)=235m$

3. If you multiply the dimension by a scale of factor of 2, is the same as write the following expression:

$P_2=2(2l+2w)$

Where $2l+2w$ is the first perimeter.

4. Then:

$P_2=2(235m)=470m$

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3 years ago

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Step-by-step explanation:

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3 years ago

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1. In a study on the likability of comedians, 10 participants observed one of two comedians (one who was humorous and one who wa

garri49 [273]

Answer:

a. 84 < n + (n + 2) + (n + 4) < 96

b. 26 < n < 30

step-by-step explanation:

using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).

since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:

84 < n + (n + 2) + (n + 4) < 96

in order to solve for 'n', we must first combine like terms:

84 < 3n + 6 < 96

subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90

divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.

7 0

3 years ago

Sydney took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.60 plus $1.75 per mile. The total

Firdavs [7]

The number of miles in the taxi ride is 6.22 miles.

It is required to find the number of miles in the taxi ride.

<h3>What is arithmetic?</h3>

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

The taxi company charged a pick-up fee of $1.60 for half distance.

The taxi company charged a pick-up fee of $1.75 for another half distance.

The total fare was $20.85.

Let x be the number of miles in the taxi ride.

So, the equation will be,

$1.60x+$1.75x= $20.85.

3.35x=20.85

x=20.85/3.35

x=6.22 miles.

Hence, the number of miles in the taxi ride is 6.22 miles.

Learn more about arithmetic here:

brainly.com/question/11559160

#SPJ1

6 0

2 years ago