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Misha Larkins [42]
3 years ago
9

Which expression is equivalent to (3m² + 5m - 2) + (-2m +18)? Someone answer ASAP

Mathematics
2 answers:
Montano1993 [528]3 years ago
4 0

3m^2 +5m-2-2m+18

3m^2 +3m+16

Charra [1.4K]3 years ago
4 0

Answer:

3m² + 3 m + 16

Step-by-step explanation:

( 3 m ² + 5 m - 2 ) + ( - 2m + 18 )

Remove the unnecessary parantheses and rewrite

3 m ² + 5 m - 2 - 2 m + 18

combine like terms

3m² + 5 m - 2 m + 18 - 2

calculate the sum

3m² + 3 m + 16

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Eight inches of snow fell in five hours. Write the number of inches per hour.
DedPeter [7]

The answer is 1.6

How I figured it out:

I divided 8 by 5, which gave me 1.6

To make sure this was right, I multiplied 1.6 by 5, which gave me an answer of 8 or other known as 8 inches.

In conclusion, the number of inces per hour is 1.6

6 0
3 years ago
PLEASE HELP!!!
MakcuM [25]

Answer:

B

Step-by-step explanation:

x + y =6

x - y = 4

A. 3+3=6, but 3-3 doesn't equal 4

B. 5+1=6 and 5-1 equals 4

C. 6+0 equals 6 but 6-0 doesn't equal 4

D. 2+4 equals 6 but 2-4 doesn't equal 4

4 0
3 years ago
Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

6 0
3 years ago
There are 18 female teachers and 5 male teachers at Ashley's school. What is the ratio of the number of female teachers to the n
elena-14-01-66 [18.8K]

Answer:

The ratio of the number of female teachers to the number of male teachers is 18:5.

Step-by-step explanation:

First: Review how to write a ratio:

To write a ratio, take the two quantities, and put them on both sides of a colon (:). So, our two quantities our 18 and 5. But, they need to be in a specific order:

There are 18 female teachers and 5 male teachers at Ashley's school. What is the ratio of the number of female teachers to the number of male teachers?

Since, they mentioned the number of female teachers first, we put the quantity of female teachers first. So we will write 18 first and 5 after. So, the ratio is 18:5.

Thank you for reading

Topic: Ratios

6 0
3 years ago
Read 2 more answers
Mrs. Frank earns $528 per week from which 40% income tax is deducted. Calculate her net pay.​
Zina [86]

Answer:

\$316.80\:\text{a week}

Step-by-step explanation:

If a 40% income tax is deducted from Mrs. Frank's income, her total/net income will be 60% of her income before income tax.

Therefore, her net pay is equal to 528\cdot 0.6=\boxed{\$316.80\text{ a week}}.

6 0
3 years ago
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