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oee [108]
3 years ago
5

Deandra is doing her math homework. She completed the first 6 problems in 2 hours and the last 12 problems in 3 hours.

Mathematics
1 answer:
Annette [7]3 years ago
3 0

Answer:

Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.

Step-by-step explanation:

6 problems ÷ 2 hours = 3 problems per hour

12 problems ÷ 3 hours = 4 problems per hour

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The lengths of three sides of a quadrilateral are shown below:
julsineya [31]
Answers: 
Part A: 12y² + 10y – 21
Part B: 4y³ + 6y² + 6y – 5 
Part C: See below.

Explanations: 
Part A: 
For this part, you add Sides 1, 2 and 3 together by combining like terms:
Side 1 = 3y² + 2y – 6
Side 2 = 4y² + 3y – 7
Side 3 = 5y² + 5y – 8
3y² + 2y – 6 + 4y² + 3y – 7 + 5y² + 5y – 8
Combine like terms: 
3y² + 4y² + 5y² + 2y + 3y + 5y – 6 – 7 – 8 
12y² + 10y – 21

Part B: 
You have the total perimeter and the sum of three of the sides, so you just need that fourth side value, which we can call d.
P = 4y³ + 18y² + 16y – 26
Sides 1, 2 & 3 = 12y² + 10y – 21 
Create an algebraic expression: 
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
Solve for d: 
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
– 12y²                                – 12y²
10y – 21 + d = 4y³ + 6y² + 16y – 26 
– 10y                               – 10y
– 21 + d = 4y³ + 6y² + 6y – 26 
+ 21                                + 21 
d = 4y³ + 6y² + 6y – 5 

Part C: 
If closed means that the degree that these polynomials are at stay that way, then yes, this is true in these cases because you will notice that each side had a y², y and no coefficient value except for the fourth one. This didn't change, because you only add and subtract like terms.
7 0
3 years ago
PLSSSSSS HELP GIVING 10 POINTS
TEA [102]

Answer:

I'm pretty sure that it's C.

6 0
3 years ago
The value of 12pi over 10pi times 5pi Over 6pi is closest to the whole number (blank). Find the blank
lisov135 [29]

Given:

The expression is

\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}

To find:

The value of the given expression closest to the whole number.

Solution:

We have,

\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}

Cancel out the common factors from each fraction.

=\dfrac{6}{5}\times \dfrac{5}{6}

=\dfrac{6\times 5}{5\times 6}

=\dfrac{30}{30}

=1

Therefore, the value of the given expression is 1.

6 0
2 years ago
***I NEED HELP PLEASE***
sergey [27]

Answer:

on a graph or a number line

Step-by-step explanation:

7 0
3 years ago
If 32x+1 = 3x+5, what is the value of x?<br>2<br>3<br>4<br>6​
elena-14-01-66 [18.8K]

Answer:4

Step-by-step explanation:

4 0
3 years ago
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