2+d=2-3(d-5)-2 Pls show work

Answers

Answer 1

Answer: 2 + d = 2 - 3(d- 5) - 2

First, cancel 2 on both sides. / Your problem should look like: $d = -3(d - 5) - 2$
Second, expand. / Your problem should look like: $d = -3d + 15 - 2$
Third, simplify -3d + 15 - 2 to get -3d + 13. / Your problem should look like: $d = -3d + 13$
Fourth, add 3d to both sides. / Your problem should look like: $d + 3d = 13$
Fifth, add d + 3d to get 4d. / Your problem should look like: $4d = 13$
Sixth, divide both sides by 4. / Your problem should look like: $d = (13)/(4)$

Answer as fraction: $d = (13)/(4)$
Answer as decimal: $d = 3.25$

Answer 2

Answer:
2+d=2−3(d−5)−2

2+d=2+(−3)(d)+(−3)(−5)+−2(Distribute)

2+d=2+−3d+15+−2

d+2=(−3d)+(2+15+−2)(Combine Like Terms)

d+2=−3d+15

Add 3d to both sides.

d+2+3d=−3d+15+3d

4d+2=15

Subtract 2 from both sides.

4d+2−2=15−2

4d=13

Divide both sides by 4.

4d/4=13/4

d=13/4

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What is 7,491,001 rounded to the nearest hundrer thousand

Find the sum of the sequence.
39 +40 +41 +42 + ... + 138

Answers

Answer:

Sol1 you can use "first(first+last)/2" is 138(138+1)/2 - 38(38+1)/2 = 8850

Sol2 or you can look this 39+40+41+....+100+(100+1)+(100+2)+....+(100+38) = 1+2+3+.....+99+100+100(38) = 5050+3800 =8850

The cost of renting a bicycle is $9 for the first hour plus another $4 for eachadditional hour. Which of the following represents this situation, where Cis
the total cost of renting a bicycle for h hours?

Answers

The missing choices are:

A. C = 9h + 4

B. C = 4h + 9

C. C = 4(h - 1) + 9

D. C = 13h

C = 4(h - 1) + 9 represents this situation ⇒ answer C

Step-by-step explanation:

The given is:

The cost of renting a bicycle is $9 for the first hour
Another $4 for each additional hour
C is the total cost of renting a bicycle for h hours

We need to find which of the following represents this situation

∵ The cost of renting a bicycle is $9 for the first hour

∵ Another $4 for each additional hour

∵ h represents the number of hours

- Add the cost of the first hour to the cost of the remaining hours

∵ The remaining hours = h - 1

∴ The cost of the remaining hours = 4(h - 1)

∵ C is the cost of renting the bicycle for h hour

- Add 9 to 4(h - 1) to find C

∴ C = 4(h -1) + 9

C = 4(h - 1) + 9 represents this situation

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Determine the value of "L"

Answers

The remaining side length (L) of the rectangle is approximately 3.335 units.

To find the remaining side length (L) of a rectangle when given the perimeter and three sides of the rectangle, we can use the formula for the perimeter of a rectangle:

Perimeter = 2 * (Length + Width)

In this case, you have three sides, which means you have the sum of two lengths and one width:

3 * Side = 2 * Length + Width

Given that the perimeter is 30 and the three sides sum up to 70:

30 = 2 * Length + Width

We also know that 3 * Side = 70, so each side is equal to 70/3 = 23.33 (approximately).

Now, we can substitute this value for Width into the first equation:

30 = 2 * Length + 23.33

Subtract 23.33 from both sides:

30 - 23.33 = 2 * Length

6.67 = 2 * Length

Divide by 2 to isolate Length:

Length = 6.67 / 2 = 3.335

So, the remaining side length (L) of the rectangle is approximately 3.335 units.

To learn more about rectangle

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Opposite sides equals to 7 and so you add 7 + 7 which equals to 14. Next you subtract 30 by 14 to get the total of the opposite side of L and itself which gets you 16 which is then divided by 2 because you have L and its opposite side which would give you 8. So L equals to 8.

Check:

7 + 7 + 8 + 8

14 + 16

Find the minimum value of 1 + 3(3 −x)²

Answers

$for\ every\ x\in R\ is\ (3-x)^2 \geq 0\n\n (3-x)^2 \geq 0\ \ \ \Rightarrow\ \ 3 (3-x)^2 \geq 0\ \ \ 1+ (3-x)^2 \geq 1\n \nAns.\ The\ minimum\ value\ is\ 1$

1 + 3(3 −x)² >= 1, because 3 > 0 and (3 −x)² >=0 =>
the minimum value of 1 + 3(3 −x)² is 1.

What is the balance on a deposit of $1,150 that earns 9% interest compounded annually for 2 years

Answers

Step One: Calculate interest.

$1150*0.09=103.5$

Step Two: Calculate the amount at the end of the first year.

$1150+103.5=1253.5$

Step Three: Calculate the amount at the end of the second year. This will be your final answer.

$1253.5+103.5=1357$

$1357 balance

Steve has a credit account with his local coffee shop. He gets a large coffee every day and a debit of $1.99 is applied to his account. He now owes a total of $11.94. Write a numeric equation using negatives to show the number of days it has been since he last paid his bill.

Answers

Answer:

Therefore a numeric equation using negatives can be written as

-11.94 = -1.94x $\therefore x = (-11.94)/(-1.99) = 6\hspace{0.1cm}days$

Step-by-step explanation:

i) Amount owed by Steve = $11.94

ii) For every large coffee Steve has a debit of $1.99 applied to his account

iii) Let x be the number of days it has been since Steve last paid his bill.

therefore a numeric equation using negatives can be written as

-11.94 = -1.94x $\therefore x = (-11.94)/(-1.99) = 6\hspace{0.1cm}days$ .

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