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3 years ago

Which of the following correctly combines these terms? 3a + 6b - 7a + (-3b) + 9c

Mathematics

1 answer:

ElenaW [278]3 years ago

8 0

Answer:

Step-by-step explanation:

We have to added up the like therms

like therms are therms with the same literal parts

3a - 7a = -4a

6b-3b= 3b

-4a + 3b+ 9c

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What is the value of a A. 27.5 B. 45 C. 50 D. 90

kiruha [24]

Answer:

Step-by-step explanation:

idk

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3 years ago

Read 2 more answers

Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively

saveliy_v [14]

Answer:

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

8 0

3 years ago

You want to go to the skate park, and you have two options:

Tcecarenko [31]

Answer:

See Explanation

Step-by-step explanation:

Define the variables

Let the entry fee be c and the hourly rate be m

Let the number of hours be x and the total amount be y

Work to solve

For Sami's skate

$c = 6$ and $m = 2$

For Brad's skate

$c =10$ and $m = 1$

The equations

The equation is derived using: $y = mx + c$

For Sami's skate

$y = 2x + 6$

For Brad's skate

$y = x + 10$

When the cost are the same

To do this, we equate both expressions

i.e.

$y = y$

$2x + 6 = x + 10$

$2x -x = 10 - 6$

$x = 4$

i.e. the cost are the same at the 4th hour

What is the cost

Substitute 4 for x in any of the equations

$y = x + 10$

$y = 4 + 10$

$y = 14$

The cost is $14.00

3 0

2 years ago

What is the abscissa of the midpoint of the line segment whose endpoints are (5√2,2√3) and (√2,2√3)

xxMikexx [17]

Let
A------> (5√2,2√3)
B------> (√2,2√3)

we know that
the abscissa and the ordinate are respectively the first and second coordinate of a point in a coordinate system
the abscissa is the coordinate x

step 1
find the midpoint
ABx------> midpoint AB in the coordinate x
ABy------> midpoint AB in the coordinate y

ABx=[5√2+√2]/2------> 6√2/2-----> 3√2
ABy=[2√3+2√3]/2------> 4√3/2-----> 2√3

the midpoint AB is (3√2,2√3)

the answer is
the abscissa of the midpoint of the line segment is 3√2

see the attached figure