Louise completed the work shown below.

(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.

Answers

Answer 1
No, Louise is incorrect because using the order of pemdas I know that (5x3+3)2 is 36. I also know that (5x3)2+(3)2 is 36 using the order of pemdas. However the 3rd problem is 25x6+9 and using pemdas I know that this would equal 234 which is not equal to 36 therefore Louise is incorrect.
Answer 2

Answer:

SAMPLE RESPONSE

Step-by-step explanation:

Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.


Related Questions

Latrell wants to fill his water bottle between classes, but the water fountain next to his classroom is frustratingly slow. It takes Latrell 5 seconds to get each ounce of water in his bottle. There is a proportional relationship between the amount of water (in ounces) Latrell puts in his water bottle, x, and how long in seconds) it takes to get that amount, y. Graph this relationship. Select two points to draw a line.

what is the slope of the line? _____​

Answers

Answer:

Step-by-step explanation:

Slope = rise/ run, or y∨2 - y∨1/ x∨2 - x∨1

5-10/ 1-2 =

-5/-1 = 5

The slope of the line drawn from the given data is 5.

What is the slope?

A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Given this, Latrell fills his bottle with one ounce of water in five seconds. The amount of water Latrell puts in his water bottle (in ounces), x, and the time (in seconds) it takes to get that amount, y, are proportionate. This connection can be graphed. Since, the line will pass from the origin(0, 0).

Since given y is the directly proportional equation of the line will be;

y = mx

where m is the slope of the line

Also given, filling the bottle at every ounce requires 5 seconds of time. hence, the line will go from (1, 5)

Thus, the value of the m will be;

5 = m *1

m =5

Therefore, the slope of the line is 5.

Learn more about the slope here:

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Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
4%
?
The sales tax is $
The total cost is $​

Answers

Answer:

Tax = $2.00, cost of item = $52.00

Step-by-step explanation:

Multiply 50(.04) = $2.00, then add $50 + $2 = $52

Answer:

Sales tax 2.00, Total cost=52.00

Step-by-step explanation:

50 x .04=2 sales tax

50+2=52 total price

two hundred seventy-three divided by twenty-four

Answers

Answer:

improper fraction=91/8

Decimal=11.375

Mixed fraction=11 3/8

Step-by-step explanation:

Answer:

11.375

Step-by-step explanation:

quation in slope-intero
y + 5 = -6 (x + 7)

Answers

Answer:

x = -47/6

y=-47

Step-by-step explanation:

Which statement is true about slope of the graphed line?

Answers

Answer:

A. the slope is negative

Step-by-step explanation:

the slope is going down so it is negative

Answer:

A

Hope this helps if not then let me know!

Can someone pls help me? I have 4 hours to do this!

Answers

Answer:

a

Step-by-step explanation:

Are the triangles similar?

A. Yes, by SSS~ Postulate


B. Yes, by SAS~ Postulate


C. Yes, by AA~ Postulate


D. No, their sides are not proportional

Answers

Answer:

A. Yes, by SSS~ Postulate

Step-by-step explanation:

Verify the ratio is same for each pair of corresponding sides:

AC/HF = 84/14 = 6AB/HG = 72/12 = 6CB/GF = 48/8 = 6

Confirmed the three sides have same ratio

Correct option is A

Consider a triangle with side lengths 5 and 13. What are the possibilities for the third side if the
triangle is right

Answers

Answer:

find the squares of both numbers

5²= 25

13²=169

minus the squares

169-25=144

find the square root of the answer above

✓144=12

the possibility of the third side is 12

the map ratio of a map is 1: 50000. find the length on the ground represented by 6.4cm on the map

Answers

Answer:

320,000

Step-by-step explanation:

6.4cm on the map would be 320,000 (ft I'm assuming) and I found that by multiplying 50,000x6.4.

Help me pleasee I need to turn it in tonightt

Answers

Student 1 and student 3 are equivalent

Answer:

A. Students 1 and 3

Step-by-step explanation:

Student 3's equation is -5r + 3s - 1

Student 1's equation is -(5r - 3s + 1)

We distribute the negative like this: -5r + 3s - 1, which is the same as student 1.

What is the 5th equivalent fraction to 1/9

Answers

Answer:

5/45

Step-by-step explanation:

The 5th equivalent fraction to 1/9 will be 5/45.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

''5th equivalent fraction to 1/9''

Now,

Solve the fraction as;

''5th equivalent fraction to 1/9''

= 5/5 x 1/9

= (5 x 1) / (5 x 9)

= 5 / 45

Thus, The 5th equivalent fraction to 1/9 will be 5/45.

Learn more about the multiplication visit:

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3. CLOVERS Nathaniel is searching for a four-leaf
clover in a field. He finds 2 four-leaf clovers during
the first 12 minutes of his search. If Nathaniel spends
a total of 180 minutes searching in the field, predict
the number of four-leaf clovers Nathaniel will find.

Answers

I think that it is 15 minutes

Answer:

Sham Rock is searching for a four-leaf clover in a field. He finds 2 four-leaf clovers during the first 12 minutes of his search. If Sham spends a total of 180 minutes searching in the field, predict the number of four-leaf clovers he will find.

Step-by-step explanation:

HELP ILL MARK YOU BRAINLIST

Answers

Answer:

-2

Step-by-step explanation:

You can see that when x goes up by 1, y goes down by 2. This means the rate of change is -2

Answer:

The rate of change is -2

Step-by-step explanation:

Take any two points from the graph. (0,-4) and (-2,0). Plug them into the equation y2-y1/x2-x1. In this case the equation would be 0--4/-2-0. Simplify this and get 0+4/-2-0. Simplify again and get 4/-2 which is -2

Therefore the rate of change is -2

Hope this helps

Please answer this worksheet for me. It will help so much. I gave 30 points for this question. Don't make it wasted. Person with the correct answers will get brainiest. Everybody will get a thanks though.

Answers

Answer: im doing it on a different page but the answers are there

Step-by-step explanation: hopes this helps :)

Need help fast please

Answers

25

You divide 10 by two which equals 5 then square it which equals 25
25 i’m pretty sure !!!

Omg- I need mega help- Ok- WHATS 1+1?! fr- this is such a hard question

Answers

Answer:

hkññaaqedx jurx jkñlnbgl dpsnish mija

If x - 1 upon x = 2 then find the value of x + 1 upon x
please answer​

Answers

x-1/x= 2
x-1=2x
x-2x=1
-x=1
x=-1

x+1/x
-1+1/-1
0/-1
0
it equals 0

3) This table represents the price of milk for various years. What is the percent of increase from 1980 to 2010 1 Year Price 1980 $1.60 1990 $2.15 2000 $2.78 2010 $3.59​

Answers

Answer:

124.375% increase

Step-by-step explanation:

From 1980 to 2010 there was a 124.375% increase

someone help I don't know what the diameter or radius is​

Answers

Answer:

52.38 inch² & 261.90 inch²

Step-by-step explanation:

Here we need to find the area of the sector . So according to formula we know the area of sector as ,

[tex]\boxed {\sf Area_{(sector)}= \dfrac{\theta}{360}\times \pi r^2 }[/tex]

Here we can see that the central angle subtended by the arc is 60° and the radius of the circle is 10 inches . So the required area would be ,

=> Area = ∅/ 360° × π r²

=> Area = 60°/360° × 22/7 × (10in.)²

=> Area = 1/6 * 22/7 * 100 in²

=> Area = 52 .380 in²

Hence the area of the red sector is 52.38 inch².

_________________________________

Now let's find out the area of blue sector .The angle subtended by the arc will be (360-60)°=300° .

=> Area = 300/360 × 22/7 × 100 in²

=> Area = 261. 90 in²

Hence the area of blue sector is 261.90 inch².

[tex]\boxed{\red{\sf Area _{(red \ sector )} = 52.38 in^2 }}[/tex]

[tex]\boxed{\blue{\sf Area _{(blue \ sector )} = 261.90 in^2 }}[/tex]

Let the random variable H represent the height of a woman in the population. P(H<60) represents the probability, of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model for the normal model.

Answers

Answer:

Hello your question in incomplete attached below is the complete question

answer : 0.03

Step-by-step explanation:

H represents the height of women

Determine P ( H < 60 ) using either discrete or normal model

using discrete model

P ( H < 60 ) = ∑ relative frequencies of women with height < 60 inches

                   = 0.01 + 0.02 = 0.03

finding the distance between two points (-4,-3),(6,1)​

Answers

Answer:

it's the first one

Step-by-step explanation:

What is the
length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.

Answers

Answer: 5 m

Step-by-step explanation:  

Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart.  7 x 5.  So 7 is the height and 5 is the base.  

Check answer:  A = 1/2xbxh

                               A = 1/2 x 7 x 5

                               A =  1/2 x 35

                               A = 17.5 sq m

A swiming pool has a perimeter of 72 feet.
The short sides measure 16 feet. What is the length of the longer sides of the pool

Answers

Answer:

40 for both of the long sides.

Step-by-step explanation:

Hope this helps! <3

Answer: Each long side is 20

Step-by-step explanation: If the short side were 16 then you would subtract 32 from 72. This would give you 40 you would divide this by two because you have two sides. So each long side is 20.

Given: x = 11 when y = 99. If y varies directly as x, find x when y= 144

Answers

Answer:

x=16

Step-by-step explanation:

11×9=99, so variaton is 9x=y. that means y=x/9

144/9=16

Find the equivalent fraction to next expression 3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2 a 2b2 + 3.5a + 8.4 b b b2 +3.5a + 8.4b c 2b2 + 3.5a + 8.4b d b2 + 10.8a + 8b

Answers

Answer:

b²+3.5a+8.4b

Step-by-step explanation:

Given the expression

3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2

Expand

3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2

Collect the like terms

= 3b²-2b²+2a+1.5a+10.8b-2.4b

= b²+3.5a+8.4b

Hence the equivalent expression is b²+3.5a+8.4b

What is the answer to -7/8 × (-7/5) ???

Answers

Answer:

The answer is [tex] \frac{49}{40} .[/tex]

Answer:

1.225

Step-by-step explanation:

i just used a calculator

Mother mixed cream and milk in the ratio of 2 parts cream to 3 parts milk. How many cups of each are needed to have 80 cups of mixture?​

Answers

Answer:

Cream = 32 cups

Milk = 48 cups

Step-by-step explanation:

Here, we want to share the ratio

The ratio here is 2:3

cream: milk

For cream;

2/5 * 80 = 32 cups

For milk;

3/5 * 80 = 48 cups

pls help me with this multiple choice!!

Answers

Answer:

The answer will be B x=36 and y=18

Step-by-step explanation:

Hope this Helped

Mikayla wants to buy a dress that is on sale for 25% off. The original price was $84 and sales tax is 5%. What is the total price the cashier at the store will ask Mikayla to pay for the dress?

Answers

Answer:

$67.20

Step-by-step explanation:

84 x .05

4.2

84 x .25

21

84-21

63

63 + 4.2

67.20

AC =using the Distance Formula



A. 10


B. 5


C. 15

Answers

Answer:

√41

Step-by-step explanation:

Here we want to find the value of AC

A = (-4,0)

C = (1,4)

The distance formula is;

D = √(y2-y1)^2 + (x2-x1)^2

D = √(4-0)^2 + (1-(-4)^2

D = √4^2 + 5^2

D = √(16+25)

D = √41

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