Rewrite the following expression using the distributive property: 12x + 20

Need some help with these problems!

LekaFEV [45]

Answer:

h=12, w=24, t=8

Step-by-step explanation:

System of Linear Equations

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being

w = price of a sweatshirt

t = price of a T-shirt

h = price of a pair of shorts

19.

The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

$\displaystyle w=2h$

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

$\displaystyle t=h-4$

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

$\displaystyle 3w+2h+5t=136$

This is the system of equations we need to solve for w,t,h

20.

To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

$\displaystyle 3(2h)+2h+5(h-4)=136$

Operating

$\displaystyle 6h+2h+5h-20=136$

$\displaystyle 13h=156$

Solving for h

$\displaystyle h=12$

The other two variables are

$\displaystyle w=2h=24$

$\displaystyle t=12-4=8$

4 0

3 years ago

5x/x^2-9 + 7/x+3 Simplify

rjkz [21]

5x ÷ x² - 9 + 7 ÷ x + 3

Write the division as a fraction:

$\frac{5x}{x^{2} }\\$ - 9 + $\frac{7}{x}$ + 3

Simplify the expression:

$\frac{5}{x}$ - 9 + $\frac{7}{x}$ + 3

Calculate the sum:

$\frac{5}{x}$ - 6 + $\frac{7}{x}$

Write all numerators above the common denominator:

$\frac{5 - 6x + 7}{x}$

Add the numbers and you get the final answer:

$\frac{12-6x}{x}$

4 0

2 years ago

Estimate the perimeter and the area of the shaded figure to the nearest whole number

ollegr [7]

Answer:

See below ~

Step-by-step explanation:

Perimeter

2(6 + 8)
2(14)
28 units

Area

2(4 x 2) + 2(8)
4(8)
32 square units

7 0

2 years ago

Question 18 (1 point)

neonofarm [45]

Answer:

nsnsjksowwwwwwwwwnwbanansnsn

Step-by-step explanation:

67118/5261717=722282.622

7 0

3 years ago

this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural w

vekshin1

-25 is an integer and a rational number.

<h3>What is number system?</h3>

A system of writing numbers is known as a number system.
It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Now,

Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.
A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.
Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.
Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.
A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.

Hence, -25 is an integer and a rational number.

To learn more about number system, refer to the link: brainly.com/question/13162939

#SPJ4

6 0

1 year ago