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2 years ago

Which expression is equal to 2x - x+5 x−2 x+3 ?

Mathematics

1 answer:

RoseWind [281]2 years ago

4 0

Answer:
2x-x+5
2x-1x+5
(2-1)x+5
1x+5
x+5

Answer:
x-2 x+3
1x-2x+3
(1-2)x+3
-1x+3
-x+3
Hope this help

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At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two

kirill [66]

Nathaniel's total cost is $(3.50 x2 + 3.25 x4 +1.90 x2 +1.20) = $24 he got 5% off so he paid $24- (24* 5/100) =$22.80

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3 years ago

The perimeter of a child’s rectangular sandbox is 18 feet . if the length of the sandbox is one foot longer than the width , wha

Andrew [12]

Answer:

2(b+1+b)= 18

Step-by-step explanation:

Perimeter of a rectangle= 2(l+b)

18 feet= 2(l+b)

length: l, breadth: b

Because the length of the sandbox is 1 foot longer, it will be:

b+1 = l

Substitute l with b+1

2(b+1+b)= 18

8 0

2 years ago

What the solution 2(4+2x)≥5x+5

olga nikolaevna [1]

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x) ≥ 5x+5 (by PEDMAS, expand parentheses first)

4(2) + 2x(2) ≥ 5x + 5

8 + 4x ≥ 5x + 5 (subtract 8 from each side)

4x ≥ 5x + 5 - 8

4x ≥ 5x - 3 (subtract 5x from both sides)

4x -5x ≥ - 3

-x ≥ - 3 (multiply both sides by -1, remember to flip the inequality when multiplying both sides by a negative number)

x ≤ 3

4 0

2 years ago

Read 2 more answers

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

Ms.Lopez has created a floor plan of a dollhouse. The area of the entire dollhouse is 576 square inches

harina [27]

Answer:

(a)Area of the bedroom=96 square inches

(b)Area of the living room =144 square inches

(c)Area of the dollhouse that is not of the bedroom or living room =336 square inches.

Step-by-step explanation:

The area of the bedroom is 1/6 the area of the entire dollhouse

The area of the living room is 3/2 times the area of the bedroom.

The area of the entire dollhouse is 576 square inches

Let the area of bedroom=b

Let the area of living room=l

(a) The area of the bedroom is 1/6 the area of the entire dollhouse

$b=\frac{1}{6}X576=96$ square inches

(b)The area, in square inches, of the living room

The area of the living room is 3/2 times the area of the bedroom

l= $\frac{3}{2}X96=144$ square inches

(c)The total area of the house =576 square inches

Area of the bedroom=96 square inches

Area of the living room =144 square inches

Area of the dollhouse that is not of the bedroom or living room

=576-(96+144)=576-240=336 square inches.

The area of the living room is 3/2 times the area of the bedroom

This is gotten by subtracting the area of the bedroom and living room from the total area of the house.

3 0

3 years ago