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MrRissso [65]
4 years ago
8

Evaluate [(51 + 3) − 3²] ÷ 9 ⋅ 2.

Mathematics
1 answer:
sashaice [31]4 years ago
3 0
[(51 + 3) - 3^2]/9 * 2
[ 54 - 3^2] / 9 * 2
[ 54 - 9 ] / 9 * 2
[45] / 9 * 2
5 * 2 = 10
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Eric needs 1/2 deck of playing cards for a magic trick. He only has 2/7 of a deck. What fraction of a deck does Eric still need?
tatyana61 [14]

Answer: Eric still needs \frac{3}{14} of a deck.

Step-by-step explanation:

You know that:

- Eric need 1/2 deck of playing cards.

- Eric has 2/7 of a deck.

Therefore, to find the fraction of a deck that Eric still needs, you must subtract 1/2 and 2/7:

- Find the least common multiple of the denominators:

2=2*1\\7=7*1

LCM=2*7*1=14

- Now, you can make the subtraction:

\frac{(7*1)-(2*2)}{14}=\frac{7-4}{14}=\frac{3}{14}

Therefore, he still needs \frac{3}{14} of a deck.

4 0
3 years ago
In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? AB ≅
torisob [31]

Answer:

Step-by-step explanation:

For any quadrilateral to be a parallelogram

i) either both the pairs of opposite sides must be equal

ii) Both the pairs of opposite sides must be parallel

iii) Opposite pairs of angles must be equal

iv) Diagonals must bisect each other.

v) A pair of opposite sides must be parallel and equal

Here we are already given that AB || CD

So either we should be given that AD || BC

or we must be given that AB = CD

Here it is given AB = CD as an option.

So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.

6 0
2 years ago
Find the average rate of change for the function f(x)=3.2 + 25
wel

The average rate of change of the function is: 3.2.

<h3>What is the Average Rate of Change for a Function?</h3>

Average rate of change = \frac{f(b) - f(a)}{b - a}

Given the function, f(x) = 3.2x + 25, the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:

a = 2

b = 6

f(a) = f(2) = 3.2(2) + 25 = 31.4

f(b) = f(6) = 3.2(6) + 25 = 44.2

Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.

Learn more about average rate of change on:

brainly.com/question/11627203

3 0
2 years ago
What is 423.408 rounded to the neatest hundredth
xeze [42]
The hundredth is the second decimal place. You know the rounding rules are where you look at the previous place and if it's 5 or above the number place your rounding to goes up. So the answer is 423.41
4 0
3 years ago
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PLEASE LEND ME A HAND! I NEED IT BADLY!!!
V125BC [204]

Answer:

The first one is A

The second one is B

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3 years ago
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