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frosja888 [35]
3 years ago
6

Sense or nonsense Peter and Jade are using what they know about properties to write an expression equivalent to 2×(n+6)+3 whose

answer makes sense? Whose answer is nonsense? Explain your reasoning.

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

Jade because she followed the correct order of operations.

Step-by-step explanation:

Always remember your order of operations.

P - parentheses

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

Please Excuse My Dear Aunt Sally is the common phrase used to remember though I find PEM-DAS just as easy to remember.

Lisa [10]3 years ago
5 0

Answer:

Jade's work makes sense, Peter's does not.

Step-by-step explanation:

What's wrong with Peter's work:

Peter did not apply associative property correctly. You cannot change what is inside the parenthesis. He also shouldn't be using associative property to solve this equation because it just doesn't make sense!

Jade's work:

She applied distributive property correctly and multiplied each term in the parenthesis by 2. All of her processes are logical and make sense! I could go on, but everything is correct lol

Best of wishes mate!

You might be interested in
(2 points) An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A
lara31 [8.8K]

Answer: a) z=1.43

b) 0.1528

Step-by-step explanation:

The given set of hypothesis :

H_0:p=0.45

H_a:p\neq0.45

Since the alternative hypothesis H_a is two-tailed , so we perform two-tailed test.

Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.

Sample proportion: \hat{p}=\dfrac{28}{76}=0.3684

a) The z-statistic would be :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

\Rightarrow\ z=\dfrac{0.3684-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{76}}}=-1.4299121397\approx-1.43

b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)

=2P(z>1.43)

=2(1-P(z≤1.43)

=2-2P(z≤1.43)

= 2-2(0.9236)[Using standard z-table]

= 2-1.8472=0.1528

Hence,  the P-value of the test= 0.1528

6 0
4 years ago
Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.
docker41 [41]
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =

factoring with leading coefficient:

for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4

replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)

answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>

7 0
4 years ago
3g+h=18 2g+3h=26 what is g and what is h
krok68 [10]

Answer:

3

g

+

h

=

18

=

 

2

g

+

3

h

=

26

=

g

=

h

=

Step-by-step explanation:

5 0
3 years ago
A bacteria culture doubles every hour. If there are 15000 bacteria now, how many bacteria were there 6 hours ago? Use an exponen
Kamila [148]
23.4375 or 24.0 is the bacteria count after 6 hours.
7 0
3 years ago
Subtract 43 from 20 raised to the 7th power; then multiply by 3.
viktelen [127]

Hi there! :)

<u>Answer:</u>

Subtract 43 from 20 raised to the 7th power; then multiply by 3. The answer is: <u>3,839,999,871</u>

Step-by-step explanation:

"Subtract" means to take away a number from another.

" 20 raised to the 7th power" is the same thing as 20 exponent 7: 20^{7}


SO, you want to take away 43 from 20^{7} and then multiply the answer by 3:

(20^{7} - 43) × 3

20^{7} = 1,280,000,000

(1,280,000,000 - 43) × 3

1,280,000,000 - 43 = 1,279,999,957

1,279,999,957 × 3

1,279,999,957 × 3 = <u>3,839,999,871</u>


There you go! I really hope this helped, if there's anything just let me know! :)

6 0
3 years ago
Read 2 more answers
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