Use long division to solve for n. 6,588 ÷ 4 = n

Answer:

a3=15 , n=3

a8=0, n=8

a5 = ?

an = a1+ (n-1)d

a3 = a1 + (3-1) d

a3=a1+2d

and a8 = a1 + (8-1 )d

a8= a1+ 7d

15 = a1 + 2 d-------1

0= a1 +7 d----------2

substacting eq 2 from eq 1

15= - 5d

- 5d = 15

divide by - 5

d = -3

putting the value of d in eq 1

15 = a1 + 7 (-3)

15 = a1 -21

adding 21 on both sides

a1-21+21= 15+21

a1 = 36

a5 = ?, n=5, d= -3, a1=36

a5 = 36 + (5-1) (-3)

= 36+(4)(-3)

= 36-12

= 24

Answer:

f(4) = 9

Step-by-step explanation:

You just need to substitute 4 in for x.

f(4) = 5(4) - 11

f(4) = 20 - 11

f(4) = 9

Answer:

x=4

Step-by-step explanation:

The value of x from the given similar triangles is 7 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

The given triangles ABC and DEF are similar triangles.

Here, AB/DE =AC/DF =BC/EF

4/12 =8/3(x+1)

8/3(x+1) =1/3

24=3x+3

3x=24-3

3x=21

x=7

Therefore, the value of x is 7 units.

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Answer:

[tex]\huge\boxed{\text{E. } \frac{1}{2} }[/tex]

Step-by-step explanation:

When finding the cosine of an angle, we need to note what each terms mean.

Using the acronym SOH CAH TOA, we know that the

Cosine of an angle will be it's

Adjacent side divided by the

Hypotenuse.

The side adjacent to the 60° angle is 1, and the hypotenuse of the triangle is 2. Therefore, the adjacent over the hypotenuse is [tex]\frac{1}{2}[/tex], making the cos of 60°

[tex]\frac{1}{2}[/tex].

Hope this helped!

Answer:

what grade r u in?

Step-by-step explanation:

Answer:

The answer to the question provided is 30.

Step-by-step explanation:

[tex] \frac{18}{27} = \frac{20}{x} \\ \\ \frac{540}{18} = \frac{18x}{18} \\ \\30 = x[/tex]

Happy to help!

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Explanation:

Due to the parallel lines, we have two similar triangles. So the sides are proportional.

18/27 = 20/x

2/3 = 20/x

2x = 3*20

2x = 60 .... cross multiply

x = 60/2

x = 30

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Another way you can approach it is to say

18/(18+27) = 20/(20+x)

18/45 = 20/(20+x)

2/5 = 20/(20+x)

2(20+x) = 5*20

40+2x = 100

2x = 100-40

2x = 60

x = 60/2

x = 30

Answer:

D

Step-by-step explanation:

A is incorrect because if 1 x value corresponds to multiple y values, it is not a function

B is incorrect for the same reason as a

C is incorrect because it is linear

D is correct because 1.) all of the others are wrong, and 2.) it is nonlinear.

Answer:

14+7b

Step-by-step explanation:

8+6=14

4b+3b=7b

Answer:

14 +7b

Step-by-step explanation:

Combine like terms. Like terms have same variables

8 + 4b + 3b + 6 = 8 + 6 + 4b + 3b

                           = 14 + 7b

212/351

or

211/351

cos less than

Answer:

a and b

Step-by-step explanation:

parallel lines are lines that do not intersect each other

Answer:

Martin drove 53,558 miles.

Step-by-step explanation:

If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.

Answer:

1/2 X 7 X 3 X 3 = 31.5

Step-by-step explanation:

The graph of equation is in image.

When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."

There are linear equations with one and two variables, respectively.

Given equations 2x + 3y = 5

4x - 5y = -1

for equation 1

2x + 3y = 5

x    1     -2    4

y    1      3    -1

coordinates for equation 2

4x - 5y = -1

x    1     2    -4

y    1     1.8   -3

and the intersection point of equation is (1, 1)

Hence the graph of equation is intersecting at (1, 1).

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Answer:  70

======================================================

Explanation:

Consider we have four slots A, B, C, D.

We have 8 choices for slot A, 7 for B, 6 for C, and 5 for D.

We count down because each time we can't reuse whatever topping was picked earlier.

Multiplying out those values gives: 8*7*6*5 = 1680

There are 1680 permutations. This would be the answer if order mattered, but it doesn't matter.

Since order doesn't matter, we have to divide by 4! = 4*3*2*1 = 24. This is the number of ways to arrange any group of 4 items.

We get 1680/24 = 70 as the final answer

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Another way to get the answer is to apply the nCr combination formula

[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]

with n = 8 and r = 4.

Another alternative is to use Pascal's Triangle. You would look in the row that starts with 1,8,... and count out 5 slots (because r starts at r = 0) to arrive at 70.

Answer: 15b^9

Explanation:

-5*-3=15

b^3*b^6=b^9

Answer:

Step-by-step explanation:

i think its embryonic

Answer:

$4.50 per hour

Step-by-step explanation:

Step 1: 27 divided by 6 is 4.50

Step 2: Double check your work by multiplying 4.50 times 6 to make sure you get 27

Answer:

i got 178

Step-by-step explanation:

Answer:

its x=16 :)))

Answer:

Step-by-step explanation:

This can happen because of the timestamp on the toll card. When you pass through the initial entrance point the timestamp marks the exact moment you passed. When you pass through the exit toll point the individual subtracts the current time from the time you entered the initial toll entrance. From this, he can easily determine the average speed that you were driving at. If the average speed is higher than the speed limit, it means that at some point between the two toll booths you were speeding and therefore they can give you a speeding ticket.

Answer: 3/4

Step-by-step explanation:

Answer Below

30% of 160 is 48 dollars. Meaning you would take the 48 from 160. Leaving 112.So the 30% mark up would mean you would pay $112.Saving $48.

Take the 160 dollar,and have the 40% to work with. Taking this would be $64. So 160-64 is $96. They will spend $96 on the phone in-store

Purchase online- $112

Purchase in-store-$96

The better deal is in-store

Answer:

(A) $208   (B) 224   (C) the online one. it cost less

Step-by-step explanation:

(A) find 30% of $160 and add it to 160. put that answer in dollars.

(B) find 40% of $160 and add it to 160. put that answer in dollars.

(C) it is the one that costs less

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Tis will be your answer :D

Answer:

5 x 3/4 < 5

2 x 4/3 > 2

6 x 5/5 = 6

4/7 x 1/8 < 4/7

2/5 x 7/7 = 2/5

1/3 x 6/4 > 1/3

Answer:

B

Step-by-step explanation:

x+2+10 is 13 which is the beginning of the perimeter

Answer:

10. b 11. b 12. b 13. a 14. b 15. b 16. a 17. a 18. b 19. a 20. a 21. b

Step-by-step explanation:

I'm pretty sure they are all right

Answer:

428,000

Step-by-step explanation:

427,963

If the number behind what number you're trying to round is greater than 4 then the number you're rounding goes up once while everything behind it goes to zero. If it's below 5 than the it well stay the same. Ex. Round nearest tenth--> 14--->10  instead of it going up to 20 it stays 10.

427,963

      ^

This number is higher than 4 so the number in front or the thousand mark goes up a number.

428,000

Someone else already answered so I figured I'll tell you how to round it, hope this helps.

Answer:

1.2 years

Step-by-step explanation:

The value of a certain account after t years is given by :

B = 600 × 1.2t dollars ....(1)

We need to find how long will it take for the value of the account to increase to $900 i.e. we need to find the value of t.

Put B = $900 in equation (1).

[tex]900=600\times 1.2t\\\\t=\dfrac{900}{600\times 1.2}\\\\t=1.2\ \text{years }[/tex]

So, it will take 1.2 years of the account to increase to $900.