All categories

2 years ago

Which is equivalent to the expression (3m + 15) + (2m + 6)?

Mathematics

2 answers:

Rina8888 [55]2 years ago

6 0

Answer:

5m+21 is your answer.......

guajiro [1.7K]2 years ago

6 0

Answer:

$(3m + 15) + (2m + 6) \\ = 3m + 2m + 15 + 6 \\ = 5m + 21 \\ thank \: you$

You might be interested in

A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:

Kryger [21]

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

$y=-0.0625x^2+1.25x+5.75$

Differentiating with respect to $x$ we get

$\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25$

Equating with zero

$0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10$

Double derivative of the equation

$\dfrac{d^2y}{dx^2}=-0.125$

So, the function is maximum at $x=10$

$y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12$

The function is maximum at $(10,12)$

So, the truck's center should be below the point $(10,12)$ for maximum width to pass through.

Now truck is 11 feet tall so $y=11$

$11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14$

The maximum width of the truck can be $14-6=8\ \text{ft}$ if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

5 0

3 years ago

Two numbers have an average of 17. if one the numbers is 11, what is the other number?

STALIN [3.7K]

The answer is 23.

11+23=34

there are two numbers so divide by 2 to find the average and you get 17.

7 0

3 years ago

In the current year, Brown, a C corporation has gross income (before dividends) of $900,000 and deductions of $1,100,000 (exclud

lyudmila [28]

Answer:

$170,000

Step-by-step explanation:

Gross income is $900,000

Add dividends which is $100,000

Total income is $900,000+$100,000=$1,000,000

Deductions is $1,1000,000.

Note that the deductions is less Dividends Received Deduction (DRD)

Additional deductions due to dividends

Add DRD of which will be 70% of the dividends received hence 0.7*$100,000= $70,000 since he owned 15% of a Fortune 500 corporation

Total deductions is $1,1000,000+$70,000=$1,170,000

Loss=1,1700,000-$1,000,000=$170,000

Total net loss is $170,000

8 0

3 years ago

A scuba diver wants to descend at an average rate of at least 7 feet per minute for 5 minutes. The table shows how many feet the

gladu [14]

The scuba diver must descend 3 feet in the fifth minute to meet the goal.

Why?

To find how many feet does the scuba diver need to descend to reach the goal of 35 feet in 5 minutes, we need to calculate how many feet he did descend on the first 4 minutes.

So, calculating we have:

$FirstMinute=9ft\\SecondMinute=11ft\\ThirdMinute=5ft\\FourthMinute=7ft\\Total=9ft+11ft+5ft+7ft=32ft\\\\Goal=35ft\\\\Needed=Goal-Total(4Minutes)\\\\Needed=35ft-32ft=3ft$

Hence, we can see that at the 4 minute, he has only descended 32ft. It means that he need to descend 3 feet more in the fifth minute.

Have a nice day!

7 0

3 years ago

Find two positive numbers whose difference is 8 and whose product is 713

Maksim231197 [3]

Answer:

1232

Step-by-step explanation:

8 0

3 years ago

Which is equivalent to the expression (3m + 15) + (2m + 6)?​

Which is equivalent to the expression (3m + 15) + (2m + 6)?