What is tn=6n-9.5,t15

Answers

Answer 1

Answer: Substituting 15 for t gives you...
$15n = 6n-9.5$
Now the trick is to move all terms with n to one side.
Subtract 6n from both sides...
$9n = -9.5$
Dividing both sides by 9 gives you...
$n = -1 (1)/(18)$

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PLEASE HELP WILL GIVE BRAINIEST1.

Which is the equation of the given line in ponit-slope form?

A. y + 4 = 9/8(x + 1)

B. y + 1 = 8/9(x + 4)

C. y + 1 = 8/7(x + 4)

y - 1 = 8/9(x - 4)

(SAME IMAGE FOR QUESTION 2)

2.

Write the equation of the line in standard form.

A. -8x + 9y = 23

B. -8x + 9y = -23

C. -8x + 7y = 25

D. -9x + 8y = -23

Answers

Answer:

1. B

2. A $(y+1)=(8)/(9) (x+4)\ny+1=(8)/(9) x+(8)/(9) *4\ny+1=(8)/(9) x+(32)/(9)\n9*(y+1=(8)/(9) x+(32)/(9))\n9y+9=8x+32\n-8x+9y=32-9\n-8x+9y=23$

Step-by-step explanation:

The point slope form of a line is $(y-y_1)=m(x-x_1)$ where $x_1=-4\ny_1=-1$ . We write

$(y--1)=m(x--4)\n(y+1)=m(x+4)$

To find m, count the slope from each marked point on the graph. Notice one is 1/2 so we will count by halves. The slope is 8/9

This means B is the point slope form. To convert to the standard form, it must be written as $ax^2+by^2=c$ . We convert using inverse operations.

12 girls and 28 boys volunteer to plants trees at a school. The principal divides the girls and boys into identical groups that have girls and boys in each group. What is the greatest number of groups the principal can make?

Answers

The most groups that can be made is the greatest amount that both 12 and 28 can be divided by, or 4. These four groups will each have three girls and seven boys.

CJ's boss was late paying everyone last month. CJ had $856.78 in his checkingaccount and had to pay $950 for rent before his paycheck came.
8. If CJ writes the $950 check and the landlord cashes it right away, what
will be the new negative balance in CJ's account?

Answers

It comes with like a extra replacement shi

If l || m, find the value of x.

Answers

Answer:

Step-by-step explanation:

(5x + 9)° = 84° (alternate angles)

5x + 9 = 84

5x = 84 - 9

5x = 75

x = 75/5

x = 15

A fence will be built to enclose a 100-m by 70-m field. It will need a post at each corner and one every 5 m. How many posts are needed?

Answers

The answer is 68.

Field had shape of rectangle since has difference in length and width. The perimeter of rectangle can be expressed as:
P = 2 × (a + b)

If:
a = 100 m
b = 70 m
Then
P = 2 × (100 m + 70 m)
P = 2 × 170 m
P = 340 m.

If posts are on every 5 m, the number of needed posts is:
340 m ÷ 5 m = 68.
Thus, 68 posts are needed for the fence.

antoine went on vacation to las vegas. his room cost 115.62 each night. his flight there cost $45.70 and his flight. was32.49. he averaged $15.00 per day on food. on the first dat antoine won$75.00 and on the last day he lost $25. if he stayed for 3 nights and 4 days, how much did the entire trip ( including airfare, food , hotel and wining ) cost him ?

Answers

Hotel

He stayed 3 nights, so $115.62 × 3 = $346.86

Airfare

$45.70 + $32.49 = $78.19

Food

He averaged $15 a day, and he stayed 4 days.

$15 × 4 = $60

Winnings

He won $75 but lost $25

$75 - $25 = $50 won.

Adding up all the expenses and winnings, we find that he paid $435.05 for his trip.

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