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2 years ago

Simplify the following algebraic expression: 2 (2x + 3y) + 3 (5 – 2x) +1+y

Mathematics

1 answer:

Gnoma [55]2 years ago

5 0

Answer: -2x+7y+16

Step-by-step explanation:

1. Distribute 2 through the parentheses

4x+6y+3(5-2x)+1+y
4x+6y+15-6x+1+y

2. Collect like terms

-2x+6y+15+1+y
-2x+7y+15+1
-2x+7y+16

3. Solution, -2x+7y+16

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7/8 = ?/48 A.13 B. 1 C. 42 D. 6

Ugo [173]

Hi Brainiac

7/8 =?/48

Let's replace the unknown place by x

7/8 = x/48

Cross multiply

(7)(48)= (X)(8)

336 = 8x

Flip it

8x = 336

Divide both sides by 8

8x/8 = 336/8

x= 42

The answer is C

Now if you wanna see if the answer is good just replace 42 in blank space

7/8 = 42/48

Now didivde 7 by 8 and divide 42 by 48

7/8= 0.875

42/48= 0.875

The answer C is correct

I hope that's help:)

If you have questions please let me know :)

4 0

3 years ago

the school cafeteria served 125.6 liters of milk on Monday and 5.34 more liters of milk on Tuesday than on monday.how many total

UkoKoshka [18]

The total amount will be
total = (125.6 L) + ((125.6 +5.34) L) = (2*125.6 +5.34) L
total = 256.54 L

5 0

2 years ago

Consider the two functions shown here. What is the rate of change of each function?

Katarina [22]

The rate of change is the same as the slope.

Let's find the slope of function 1 using the Rise Over Run rule.
The rise is 2 and run is 1. So your rate of change is 2/1 or 2 for function 1

Function 2 is a y = mx + b equation, the slope is usually "m" or before the x
y = 1/2x + 7
1/2 is your rate of change for function 2

7 0

3 years ago

Please help! Correct answer only!

arlik [135]

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

$100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars$

Thus, Solution ; Expected Payoff ⇒ $ 1.50

5 0

2 years ago

1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£

bearhunter [10]

Answer:

mean=110/8 =13.75 pounds; median=14 pounds; mode=14 pounds; average=13.75 pounds

Step-by-step explanation:

mean=add all the numbers together to get total then divide that total by the number of amounts present 12, 15, 15, 14, 14, 13, 14, 13 =110, then 110/8=13.75 pounds

mode=arrange amounts in order (smallest to largest), then determine which amount appears more than the other amounts 12, 13, 13, 14, 14, 14, 15, 15 =14 appears the most

median=organize numbers from smallest to greatest, count how many there are, then determine which number appears in the middle of all of them 12, 13, 13, 14, 14, 14, 15, 15 = there are 8 numbers present but 14 is in the middle; answer =14

average= take total of mean, then divide it by the number of amounts that appear 110/8 =13.75

8 0

2 years ago