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3 years ago

Find the sum of 34x+6 and −(14)x−9

Mathematics

1 answer:

Semmy [17]3 years ago

4 0

Answer:

20x - 3

Step-by-step explanation:

Finding the sum means adding the two together; combining like-terms.

34x + 6 - 14x - 9

34x and -14x both have the variable x with them so we can combine those terms. Since 6 and -9 have no variables with them, we can combine them.

20x - 3

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Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jean

Evgesh-ka [11]

Answer:12,376

Step-by-step explanation:

Given

Connie has 17 Pairs of jeans

She has to choose 6 pairs out of 17

We know, no of ways to pick r items out of n items is $^nC_r$

$\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}$

6 0

3 years ago

Find the area of the region in two ways. a. Using integration with respect to x. b. Using geometry. 9-x

Natali [406]

Answer: hello your question is incomplete attached below is the complete question

answer :

a) $\int\limits^3_0 {(10-x)-(x+4)} \, dx$ ( option D )

b) A = 1/2 (6)(3) ( option B )

c) Area of shaded region = 9

Step-by-step explanation:

a) Using integration with respect to x

Area = $\int\limits^7_4 {(y-4)} \, dy + \int\limits^a_7 {(10-y)} \, dy$ ( note a = 10 )

= y^2/2 - 4y |⁷₄ + 10y - y^2/2 |¹⁰₇

= 33/2 - 12 + 30 - 51/2 = 9

hence the best integral from the options attached is option D

$\int\limits^3_0 {(10-x)-(x+4)} \, dx$

= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀

= 30 - 9/2 - 9/2 - 12 = 9

b) Using Geometry

Area = 1/2 * base * height

= 1/2 * 6 * 3

= 9

7 0

3 years ago

Train X is traveling at a constant speed of 30 miles per hour and Train Y is traveling at a constant speed of 40 miles per hour.

topjm [15]

Answer:

3.5 hours

Step-by-step explanation:

Speed of train X=30 mph

Speed of train Y=40 mph

Relative speed When the two trains travelling in same direction

Relative speed=40-30=10 mph

Total distance =25+10=35 miles

We have to find the time when train Y is 10 miles ahead of train X.

We know that

Time= $\frac{Distance}{Relative\;speed}$

Using the formula

Then, we get

Time= $\frac{35}{10}=3.5 hours$

Hence, it will be 3.5 hours until train Y is 10 miles ahead of train X.

7 0

3 years ago

Read 2 more answers

PLEASE HELP ME!?!?

Ymorist [56]

Answer:

i think its C but not sure

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

20 Points! Which ordered pair is the best estimate for the solution of the system of equations?

yan [13]

Answer:

The best estimate for the solution is the ordered pair $(-6.5,-3.5)$

Step-by-step explanation:

we have

$y=\frac{3}{2}x+6$ ------> equation A

$y=\frac{1}{4}x-2$ ------> equation B

we know that

using a graphing tool, the solution of the system of equations is the intersection point both graphs

The intersection point is $(-6.4,-3.6)$

therefore

The best estimate for the solution is the ordered pair $(-6.5,-3.5)$

3 0

3 years ago