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3 years ago

What is the simplified expression for the expression below? -1/5(5x+20)-1/4(4x-28)

Mathematics

2 answers:

e-lub [12.9K]3 years ago

7 0

You need to distribute the numerical factors for each term in the parenthesis:

$\dfrac{-1}{5}(5x+20)-\dfrac{1}{4}(4x-28) = \dfrac{-1}{5}\cdot 5x + \dfrac{-1}{5}\cdot 20 + \dfrac{-1}{4} \cdot 4x + \dfrac{-1}{4} \cdot (-28)$

This equals

$-x-4-x+7 = -2x+3$

WITCHER [35]3 years ago

5 0

Answer:

-2x+3

Step-by-step explanation:

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A theater can seat 273 people. The number of rows is 8 less than the number of seats in each row. How many rows of seats are the

artcher [175]

R * s = 273
r = s - 8.....s = r + 8

r(r + 8) = 273
r^2 + 8r = 273
r^2 + 8r - 273 = 0
(r - 13)(r + 21) = 0

r - 13 = 0
r = 13

r + 21 = 0
r = -21.....extraneous solution...not ur answer

r = 13
s = r + 8 = 13 + 8 = 21

so there are 13 rows.....each row containing 21 seats

3 0

3 years ago

Math help pls o; will reward

BabaBlast [244]

Answer:

see explanation

Step-by-step explanation:

Expressing as equations

9x + 10y = 297 → (1) ← that is B

8x + 5y = 194 → (2) ← that is D

To solve the system of equations, multiply (2) by - 2

- 16x - 10y = - 388 → (3)

Add (1) and (3) term by term to eliminate the term in y

(9x - 16x) + (10y - 10y) = (297 - 388), that is

- 7x = - 91 ( divide both sides by - 7 )

x = 13

Substitute x = 13 into either of the 2 equations and solve for y

Using (1), then

(9 × 13) + 10y = 297

117 + 10y = 297 ( subtract 117 from both sides )

10y = 280 ( divide both sides by 10 )

y = 28

Cost of a small box of candy = $13

Cost of a large box of candy = $28

5 0

3 years ago

Read 2 more answers

4. Lydia cut out her initial from a piece<br><br> of construction paper,

Ratling [72]

Answer:

Option A is correct.

10 square centimeters.

Step-by-step explanation:

Complete Question

The complete Question is attached in the first attached image.

Lydia cut out her initial from a piece of construction paper. How many square centimeters of construction paper are used to make Lydia's initial?

A) 10 square centimeters

B) 11 square centimeters

C) 15 square centimeters

D) 22 square centimeters

Solution

From the second attached image, it is evident that we can split the L-shaped figure into two rectangles of dimensions (3 cm by 1 cm) and (7 cm by 1 cm)

The total area of the figure is thus

(3 × 1) + (7 × 1) = 10 cm²

Hope this Helps!!!