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3 years ago

Please helppppp!!!!!!!

Mathematics

2 answers:

ale4655 [162]3 years ago

8 0

Answer:

K 2

J 4

Step-by-step explanation:

Solved it as an equation 2 x+x=6

x= number of miles Katie drives

Sladkaya [172]3 years ago

3 0

It is 12 Multiplication

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PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

5 0

3 years ago

Miguel orders 595 candy bars. They come in 7 boxes. How many candy bars are in each box? How many candy bars will he have left i

melisa1 [442]

There are 85 candy bars in each box, and he will have 340 candy bars left after he gives three boxes to a friend.

8 0

3 years ago

Read 2 more answers

John filled his car gas tank with 21 gallons of gas. He paid $54.39. What was the price of 1 gallon

Bond [772]

Answer:

2.59

Step-by-step explanation:

Divide $54.39 by 21.

3 0

3 years ago

Read 2 more answers

Which is the measure of AB? A. 10 feet B. 15 feet C. 20 feet D. 100 feet

Jobisdone [24]

Answer:

tHE ANSWER IS 10X15

Step-by-step explanation:

10X15=150

7 0

3 years ago

Convert 4 yards to inches.<br>A. 144 inches <br>B. 12 inches<br>C. 16 inches <br>D. 192 inches

Murrr4er [49]

Answer:

The answer is A. 144 Inches

Step-by-step explanation:

In one yard, there are 36 inches. You multiply the length value by 36.

4x36=144

Hope this helps, please mark brainliest if possible (:

8 0

3 years ago