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Maurinko [17]
3 years ago
14

Which expression is equal to 6(-3m)4?

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Answer: -72m

Step-by-step explanation:

Simplify

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The sum of the squares of 3 consecutive positive integers is 116. What are the numbers?
irina [24]
1st number = n
2nd number = n+1
3rd number = n+2

sum of the squares of 3 consecutive numbers is 116

n² + (n+1)² + (n+2)² = 116
n² + (n+1)(n+1) + (n+2)(n+2) = 116
n² + [n(n+1)+1(n+1)] + [n(n+2)+2(n+2)] = 116
n² + n² + n + n + 1 + n² + 2n + 2n + 4 = 116
n² + n² + n² + n + n + 2n + 2n + 1 + 4 = 116
3n² + 6n + 5 = 116  Last option.

5 0
3 years ago
A tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay
allsm [11]

Answer:

3. $600,000

Step-by-step explanation:

We have been given that a tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay 3% of gross annual sales over $200,000.

Let us find base annual rent.

\text{Base annual rent}=\$1500\times 12\\\\ \text{Base annual rent}=\$18,000

Let us find the amount of rent paid as 3% of gross annual sales.

\$30,000-\$18,000=\$12,000

Let us find amount of sales over $200,000 by dividing $12000 by 3% or 0.03.

\frac{\$12,000}{0.03}=\$400,000

Total sales would be $400,000 plus $200,000.

\text{Total sales}=\$400,000+\$200,000\\\\ \text{Total sales}=\$600,000

Therefore, the total sales for that year was $600,000 and 3rd option is the correct choice.

7 0
3 years ago
Write your answers in the spaces provided.
Fantom [35]

Answer:

Yes adam is correct, because from January to June the cars sold are more and increased

while the mean is the addition of all the cars sold in(Numbers) the six month and divided by six(6) month

3 0
3 years ago
A scale drawing of a kitchen is shown below. (4in by 5in) The scale is 1:20. Show your work to determine the area of the room in
valkas [14]
The answer is 800 square feet. Hope this was helpful! 
5 0
3 years ago
Sin(x+y)-sin(x-y)/cos(x+y)+cos(x-y)=tany<br> how do i verify this?
dsp73

Answer:

Step-by-step explanation:

Numerator

sin

x

cos

y

+

cos

x

sin

y

−

[

sin

x

cos

y

−

cos

x

sin

y

)

=

sin

x

cos

y

+

cos

x

sin

y

−

sin

x

cos

y

+

cos

x

sin

y

=

2

cos

x

sin

y

Denominator

cos

x

cos

y

−

sin

x

sin

y

+

cos

x

cos

y

+

sin

x

sin

y

=

cos

x

cos

y

−

sin

x

sin

y

+

cos

x

cos

y

+

sin

x

sin

y

=

2

cos

x

cos

y

---------------------------------------------------------------

left side can now be expressed as

2

cos

x

sin

y

2

cos

x

cos

y

=

2

cos

x

sin

y

2

cos

x

cos

y

=

sin

y

cos

y

and  

sin

y

cos

y

=

tan

y

=

right side hence proved

7 0
3 years ago
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