All categories

3 years ago

Are 2(6.1x+25.3y+2.1x-3.9y) and 4(4.1x+ 10.7) equivalent

Mathematics

1 answer:

Vlada [557]3 years ago

5 0

Answer:

Multiply the number outside the parentheses by each term inside the parentheses

=2(6.1x+25.3y+2.1x-3.9y)

=(2*6.1x)+(2*25.3y)+(2*2.1x)+(2*-3.9y)

=12.2x + 50.6y + 4.2x - 7.8y

combine like terms

= 16.4x + 42.8y

=4(4.1x+ 10.7)

=(4*4.1x) + (4*10.7y)

=16.4x + 42.8y

Yes, the two expressions are equivalent.

Step-by-step explanation:

You might be interested in

I need help..... please answer ASAP if you know how to solve this

kvv77 [185]

For part A, The answer is that the car gets better gas mileage. We can see it from the graph that the number of gallons used is on the X axis, and the distance traveled using those number of gallons is on the Y axis. The easiest way to compare would be to look at the 1 gallon of gas. You can see that you can travel 25 miles on 1 gallon of gas. The truck on the other hand will get you 18 miles per gallon. Imagine putting 1 in for X, the Y value would be 18 if you did this. The graph just shows us a visual way of saying the same thing. To determine how much farther the car with a girl on 8 gallons of gas, you would just multiply 8 by 25 for the number of miles traveled by the car. You would multiply 8 by 18 to find the number of miles traveled for the truck. The answers are 200 miles for the car and 144 miles for the truck. 200-144=56 miles farther for the car.

6 0

3 years ago

Which statement correctly describes order of operations (PEMDAS)?

Serjik [45]

Answer:

Step-by-step explanation:

parentheses exponents multiplication division addition subtraction

4 0

3 years ago

Read 2 more answers

IQ scores based on the Stanford-Binet IQ test are normally distributed with a mean of 100 and standard deviation 15. If you wer

lianna [129]

Answer:

95 intervals

Step-by-step explanation:

Given that

population mean = 100

standard deviation = 15

number of interval that involve the mean for 95% confidence interval is calculated as

We know that when we measure the 99 percent confidence interval, 99 outof 100 confidence interval are required to provide the mean population.

similarly

Assuming we measure a confidence interval of 95 percent, then we should expect 95 out of 100 confidence interval to provide the mean population therefore, answer is 95

7 0

3 years ago

A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class what i

ZanzabumX [31]

Answer:

2/14 or 1/7

Step-by-step explanation:

Half the girls where glasses so 2 girls.

there are only 2 girls that wear glasses out of all the 14

so the answer is 2/14

8 0

4 years ago

Read 2 more answers

HELP! "translate: the product of 8 and a number increased by 2 use x as the variable"

Bumek [7]

Answer:

variable is ( x )

∆product of 8 :

8 x

∆the number increased by 2 :

8 x + 2

And we're done ♥️

3 0

3 years ago

Read 2 more answers