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GenaCL600 [577]
3 years ago
14

Ms. Hamby gave a quiz. Two students' work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form. Part A

Based on Ms. Hamby's answer key, how many questions did Student A answer correctly? Explain your response.
Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer:

attach a picture

Step-by-step explanation:

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Find the error in the following sample of work, if one exists.
ch4aika [34]

Answer:

D. There is no mistake.

Step-by-step explanation:

The following lines show the process of factorization by using common factor.

<u>Line 1:</u>

In line 1, the equation is given and is completely fine.

y^{2}+8xy+2y+16x=0

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.

<u>Line 2:</u>

In line 2, the terms are grouped, from which we can factor out common terms.

(y^{2}+8xy)+(2y+16x)=0

This is also fine.

<u>Line 3:</u>

In line 3, the common term y is taken out from group 1 and 2 from other group.

y(y+8x)+2(y+8x)=0

which is exactly what is given in line 3.

<u>Line 4:</u>

In line 4 the common factors can be seen and easily split into 2 factors.

(y+2)(y+8x)=0

which is exactly what is given in line 4.

Options:

A. The grouping is correct in line 2. So this option is does not hold.

B. Common factor was factored correctly from group 1. So this option does not hold.

C. Common factor was factored correctly from group 2. So this option does not hold.

D. There is no mistake. This is correct. Thus we choose this option as correct answer.

3 0
3 years ago
Which fraction is the simplest form of 16/34
Alex_Xolod [135]

Answer:

Good Morning you answer is 8/17

Step-by-step explanation:

you halve 16 and 34 getting 8 and 17

17 is a prime number so you can not divide any more

6 0
3 years ago
Read 2 more answers
The initial number of views for a certain website was 15.
AURORKA [14]
Basically what is happening is:
You start out with 15. That 1st week you have 22% more than 15, or in other words 15*1.22. The following week you have 22% more than 22% more of 15, which is 15*1.22*1.22.

Now we can write a function that models this situation:
f(n): number of views
n: number of weeks since you started

f(n) = 15(1.22^n)

We want to find out how many views there are after four weeks, so plug 4 in for n.

f(4) = 15(1.22^4)
f(4) = 33.23

This means after 4 weeks you can expect the video to have 33 views.
4 0
3 years ago
Read 2 more answers
Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils f
denpristay [2]

Answer:

The cost of each pens is $1.19

The cost of each pencils is $0.39

Step-by-step explanation:

Given as :

The number of pens bought by Gabby = 4

The number of pencils bought by Gabby = 5

The number of pens bought by Sydney = 5

The number of pencils bought by Sydney = 3

The total cost of Gabby items = $6.71

The total cost of Sydney items =$7.12

Let The cost of each pens = x

And The cost of each pencils = y

Now, According to question

For Gabby

4 x + 5 y = $6.71           .............1

For Sydney

5 x + 3 y = $7.12           .............2

Now, Solving both equations

5 × (4 x + 5 y) - 4 × (5 x + 3 y) = 5 × 6.71 - 4 × 7.12

Or, 20 x + 25 y - 20 x - 12 y = 33.55 - 28.48

Or, (20 x - 20 x) + (25 y - 12 y) = 5.07

or, 0 + 13 y = 5.07

∴ y = \frac{5.07}{13}

I.e y = $0.39

So, The cost of each pencils = y = $0.39

Again , put The value of y in eq 1

I,e 4 x + 5 y = $6.71    

Or, 4 x + 5 × 0.39 = 6.71

or, 4 x + 1.95 = 6.71

or, 4 x = 6.71 - 1.95

or , 4 x = 4.76

∴  x = \frac{4.76}{4}

I.e x = $1.19

The cost of each pens = x = $1.19

Hence The cost of each pens is $1.19

And The cost of each pencils is $0.39   Answer

6 0
3 years ago
What law can be used to determine that the conclusion is valid based on the given statements
ryzh [129]

Answer:

A. Law of detachment

Step-by-step explanation:

The Law of detachment implies that when one condition is fulfilled the other cannot be and vice versa, then it is made the conclusion.

This condition is made the conclusion.

The Acute and Obtuse are detached of each other.

The acute angle is one in which the value of the angle is less than 90 degrees and obtuse angle is one in which the angle is greater than 90 degrees but less than 180 degrees.

Thus angles less than 90 degrees are acute and greater than 90 degrees are obtuse.

The conclusion of the given statement  is valid based on the law of detachment as the condition has been made a conclusion.

8 0
3 years ago
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