Solve for d.5d+2(2-d)=3(1+d)+1
a)no solution
b)d=4
c)infinitely many solutions
d)d=-3

Answers

Answer 1

Answer: 5d + 2(2 - d) = 3(1 + d) + 1
5d + 2(2) - 2(d) = 3(1) + 3(d) + 1
5d + 4 - 2d = 3 + 3d + 1
5d - 2d + 4 = 3d + 3 + 1
3d + 4 = 3d + 4
-3d    -3d
   4 = 4
   d = 0

Answer 2

Answer: $5d+2(2-d)=3(1+d)+1 \n 5d+4-2d=3+3d+1 \n 3d+4=3d+4 \n 0=0 \n \boxed{C.\ Infinitely\ many\ solutions}$

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The length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches. What is the width?If w = the width of the rectangle, which of the following expressions represents the length of the rectangle?

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

Answers

Let L be the length of the rectangle and W be its width. Translating the first sentence into mathematical expressions, we get, L=2W+3. To get the area of a rectangle, we will use the formula A=L*W. Since we are already given with the area, we will substitute this value to the formula, together with the expression of L in terms of W. Thus, 65=(2W+3)*(W). Further simplification would yield

65=2W^2+3W
2W^2+3W-65=0

We have a quadratic equation, hence, we will solve for its factors. We have,

(2w+13)(w-5)=0

The two roots of the equation are: -13/2 and 5. Since we can only have positive numbers for dimensions, the width of the rectangle is 5 in.

The expression for the length of the rectangle is 2W+3.

If you have a net spendable income of $1,450 per month, what is the maximum amount of money you should spend on housing each month?

Answers

No more than 1/3 of your total net income should be spent on housing. So that other factors of life can be taken into account and afforded.

The maximum amount of money that should be spent on housing each month is $522.

These are the completed prime factor trees for 30 and 42. A) What two prime numbers are in both trees? B) Write down the hcf of 30 and 42 as the product of its prime factors C) Hence, work out the HCF of 30 and 42

Answers

Answer:

A) 2 and 3

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C) GCF of 30 and 42 = 2 × 3 = 6

What is the solution to the inequality??: 1 2 x + 8 ≤ 3

Answers

1/2x+8<3
isolate the x and divide so
subtract 8
1/2x<-5
multiply both sides by 2/1 to clear fraction
x<-10

The solution to the given inequality is determined as x ≤ -5/12

What is the solution to the inequality?

The solution of the inequality is calculated as follows;

The given inequality equation:

12x + 8 ≤ 3

Start by subtracting 8 from both sides of the inequality:

12x + 8 - 8 ≤ 3 - 8

12x ≤ -5

Divide both sides of the inequality by 12:

(12x)/12 ≤ (-5)/12

x ≤ -5/12

Thus, the solution to the given inequality is x ≤ -5/12

Learn more about inequality here: brainly.com/question/24372553

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It takes 8 cups of chicken broth to make a chicken soup recipe. How much is this in quarts?

Answers

There are 4 cups per 1 quart...

4/1 × 2/2 = 8/2

There are 8 cups in 2 quarts.

Javier has a job installing windows. He earns a rate of $75 per day plus $8 per window installed. He also receives a stipend of $25 for snacks. Javier knows his weekly earnings can be shown with the following expression:75d + 8w + 25

Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)

Part B: If Javier works for 5 days and installs 48 windows, how much does he earn? Show your work to receive full credit. (4 points)

Part C: If Javier gets an increase in his stipend and receives $40 for snacks, would the coefficient, variable, or constant in the equation change? Why? (3 points)