Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.
\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}


Step 1
Step 2
Step 3
Step 4
Step 5


93
×51


3
90
150
+4,500


4,743


1×3 ones
1×9 tens
50×3 ones
50×9 tens

Answers

Answer 1

Since molly's solution tally's with the given solution, hence Molly's solution is correct.

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}​[/tex]

This partial product can also be solved as shown below:

[tex]93 \times 51 = (90+3)\times (50+1)[/tex]

Applying the distributive law:

[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]

Since molly's solution tally's with the given solution, hence Molly solution is correct.

Learn more about partial product at: https://brainly.com/question/24716925


Related Questions

Todd drinks 4 liters of water every day. There are approximately 29.6 Milliliters in 1 fluid ounce. Which measurement is closest of to the number of fluid ounces in 4 liters/
A.7 fl oz
B. 34 fl oz
C. 118 fl oz
D. 135 fl oz

Answers

Answer:

D is the closest. The exact is 135.256


The dimensions of a rectangular garden is 3 m by 10 m. When both dimensions are increased by equal amounts, the area of the garden doubles. What are the dimensions of the new garden?

Answers

Answer:

5 by 12 m

Step-by-step explanation:

The area for rectangle is LxW

The original area is 3*10, or 30 meters.

When both dimensions are increased, now the area is 60.

We can now inch up slowly to see what works:

3.5 and 10.5=36.75 X

4 and 11=40 X

5 and 12=60 YES!

The new dimensions of the garden are 5 m by 12 m, increased by 2, and the new area is 60 meters^2.

Y<-3 which is the solution:

A) 5

B) 0

C)-2

D)-5

Answers

Y needs to be less than -3 the larger the negative number the further from 0 it is so -5 would be less than -3

Answer: -5

Which side lengths form a right triangle?
Choose all answers that apply

(Choice A)
A
3
,
27
,
6
3,
27

,63, comma, square root of, 27, end square root, comma, 6

(Choice B)
B
8
,
15
,
17
8,15,178, comma, 15, comma, 17

(Choice C)
C

Answers

Answer:

4, 7.5, 8.54,7.5,8.5

Step-by-step explanation:

We can use the Pythagorean Theorem to see if the side lengths will form a right triangle.

The equation for the Pythagorean Theorem is

a^2 + b^2 = c^2a  

2

+b  

2

=c  

2

a, squared, plus, b, squared, equals, c, squared

where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.

[How can I tell which side is the hypotenuse?]

Hint #22 / 5

Let's check each set of numbers:

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 4^2 +\sqrt8^2 &\stackrel{\large?}{=} 24^2 \\\\ 16 + 8&\stackrel{\large?}{=} 576\\\\ 24&\neq 576\\\\ \end{aligned}  

a  

2

+b  

2

4  

2

+  

8

​  

2

16+8

24

​  

=c  

2

=

?

24  

2

=

?

576

​  

=576

​  

The side lengths 4, \sqrt8, 244,  

8

​  

,244, comma, square root of, 8, end square root, comma, 24 do not form a right triangle.

Hint #33 / 5

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 5^2 + 5^2 &\stackrel{\large?}{=} 5^2 \\\\ 25+ 25&\stackrel{\large?}{=} 25\\\\ 50&\neq 25\\\\ \end{aligned}  

a  

2

+b  

2

5  

2

+5  

2

25+25

50

​  

=c  

2

=

?

5  

2

=

?

25

​  

=25

​  

The side lengths 5, 5, 55,5,55, comma, 5, comma, 5 do not form a right triangle.

Hint #44 / 5

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 4^2 + 7.5^2 &\stackrel{\large?}{=} 8.5^2 \\\\ 16+ 56.25&\stackrel{\large?}{=} 72.25\\\\ 72.25&\stackrel{\checkmark}{=} 72.25\\\\ \end{aligned}  

a  

2

+b  

2

4  

2

+7.5  

2

16+56.25

72.25

​  

=c  

2

=

?

8.5  

2

=

?

72.25

=

72.25

Answer:

4, 7.5, 8.5

Step-by-step explanation:

I had this question on Khan, and it was right (:

NEED HELP RELATIONSHIP IN TRIANGLES

Answers

We have: PT = NT <=> 4x - 17 = x + 10 <=> 3x = 27 <=> x = 9

=> NT = 4x - 17 = 4.9 - 17 = 19

Δ RNT have:

[tex]RT^2 = NT^2 -RN^2 =19^2 -14^2=165\\=>RT=\sqrt{165} [= 12.84523258][/tex]

Ok done. Thank to me :>

Write a fraction with a denominator of 9 whose equivalent percent is less than 100%. In complete sentences, explain why the fraction is less than 100%.

Answers

The fraction is 8/9

Lets find percentage

8/9(100)800/988.89%

Done!

If your money doubles once every 30 minutes and your start with $12, how much money will you have in 1.5 day?

Answers

Answer:

$1728

Step-by-step explanation:

1.5 days is 36 hrs

36 hrs is 2160 mins

2160/30 = 72 (this is the amount of times our money will be doubled)

72*2 = 144

$12*144 = $1728



please help! will give brainliest:)

Solve the following system:
2x - z=14 a
10
3x - y + 5z = 0
(4x + 2y + 3z = -2

Answers

Answer

1) x = 8

2) x = 1/3y + -5/3z

3) x = -1/2y + -3/4z + -1/2

Hope this helps:))

A recipe for lemonade called for 1 cup of sugar and 5cups of water.How much sugar is used per cup of water

Answers

It would be 1/5 cup of sugar

7. A boutique is offering a 25% discount on purchase made in cash. Calculate the cash price Janelle paid for articles totaled to $465.​

Answers

The answers is 372.00

Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
18 divided by StartFraction 2 Over 9 EndFraction = 81
18 times StartFraction 2 Over 9 EndFraction = 4
StartFraction 2 Over 9 EndFraction divided by 18 = StartFraction 1 Over 81 EndFraction
StartFraction 9 Over 2 EndFraction divided by 18 = one-fourth

Answers

Answer:

18 times StartFraction 2 Over 9 EndFraction = 4

Amount of almonds = 18 × [2/9]

Amount of almonds =  4 almonds

Step-by-step explanation:

Given:

Number of mixed nuts = 18

Probability of almonds = 2/9

Find:

Amount of almonds

Computation:

Amount of almonds = Number of mixed nuts × Probability of almonds

Amount of almonds = 18 × [2/9]

Amount of almonds = 36 / 4

Amount of almonds =  4 almonds

Answer:

IT'S B I CAN CONFIRM BC I JUST FINISHED THE TEST

Step-by-step explanation:

The weights of adult polar bears, the largest bear species in North America, have a mean of 950 pounds and standard
deviation of 84 pounds. What is the weight of a polar bear that has a z-score for weight of -1.50?
Find the Z-table here.
O 126 pounds
O 824 pounds
948.5 pounds
O 951.5 pounds
O 1,076 pounds

Answers

The weight of 824 pounds of a polar bear has a z-score of -1.50.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 950, σ = 84

For z = -1.50:

[tex]-1.50=\frac{x-950}{84}\\\\x-950=-126\\\\x=824[/tex]

The weight of 824 pounds of a polar bear has a z-score of -1.50.

Find out more on z score at: https://brainly.com/question/25638875

The next number in the arithmetic sequence 15, 22, 29, is:

A) 34
B) 35
C) 36
D) 37​

Answers

ANSWER: C) 36
EXPLANATION: +7 is the sequence

Determine if the sequence is geometric . If it is , find the common ratio , the explicit formula and the recursive formula .


1. -40 , 20 , -100 , 500


2. 4 , 20 , 100 , 500


3. 4 , 24 , 144, 864


5. 3 , -12 , 48 , -192

Answers

Step-by-step explanation:

if it is a geometric sequence, then

sn = sn-1 × r

with r being the common ratio.

1.

s2 = s1 × r

20 = -40 × r

r = 20/-40 = -1/2

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

-100 = 20 × -1/2 = -10

this is wrong, so, it is not geometric.

2.

s2 = s1 × r

20 = 4 × r

r = 20/4 = 5

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

100 = 20 × 5 = 100

s4 = s3 × r

500 = 100 × 5 = 500

this is all correct, so, it is geometric.

sn = sn-1 × 5

sn = s1 × 5^(n-1) = 4 × 5^(n-1)

3.

s2 = s1 × r

24 = 4 × r

r = 24/4 = 6

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

144 = 24 × 6 = 144

s4 = s3 × r

864 = 144 × 6 = 864

this is all correct, so, it is geometric.

sn = sn-1 × 6

sn = s1 × 6^(n-1) = 4 × 6^(n-1)

5.

s2 = s1 × r

-12 = 3 × r

r = -12/3 = -4

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

48 = -12 × -4 = 48

s4 = s3 × r

-192 = 48 × -4 = -192

this is all correct, so, it is geometric.

sn = sn-1 × -4

sn = s1 × (-4)^(n-1) = 3 × (-4)^(n-1)

Can anybody help me with these three problems thank you

Answers

Answer:

1) 1/7

2) 1/3

3) 1/4

Step-by-step explanation:

1) Since there are 7 days in a week it can be expressed as the fraction 1/7

2) Since there are 3 feet in a yard it can be expressed as the fraction 1/3

3) Since there are 4 quarts in a gallon it can be expressed as the fraction 1/4

y=1/4x−2y=−2x+3 help solve problem.

Answers

Answer:

  (x, y) = (2 2/9, -1 4/9)

Step-by-step explanation:

Equate the values of y and solve for x.

  1/4x -2 = -2x +3

  (2 1/4)x = 5 . . . . . . . . add 2+2x to both sides

  x = 20/9 = 2 2/9 . . . multiply by 4/9

  y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation

  y = -1 4/9

The solution is x = 2 2/9, y = -1 4/9.

12/14 , 15/, 19/24 which one is greater?

Answers

Step-by-step explanation:

12/14= 85.7143% 19/24= 79.1667%

The income elasticity is +2 and income increases by
20%. Sales were 5000 units, what will they be now?

Answers

Answer:

Step-by-step explanation:

The income elasticity is +2.5 and income increases by 20%. Sales were 5000 units, what will they be now? If the income elasticity is +2.5, income increases by 20% and sales were 5000 units, then the sales will increase by 20%*2.5 = 50% to 7500 units.

(Brainliest question) Which type of study best describes the following research most likely to be done? A researcher is trying to determine the effects of animal habitats and animal populations after forest fires. So she visits places that have had a naturally occurring Forest fire to study the area.


Experimental study

Observational study

Simulation study

Double blind study

Answers

Answer:

Observational study

Step-by-step explanation:

See the researcher visits the forest.She want to experience or observe the forest fire.She want to observe how it affects the animals.Hence it's observational study

help me please thanks ​

Answers

Answer:

9.25 would be the value of x

Explanation:

Perimeter = 2(l + w)

2(13.25 + 9.25)

= 45

No links help
Rectangle X is 5 cm long and 3 cm wide. Rectangle Y is similar to Rectangle X. What could be the dimensions of
Rectangle Y?
A)10 cm long and 8 cm wide
B)15 cm long and 9 cm wide
C) 15 cm long and 13 cm wide
D)10 cm long and 3 cm wide

Answers

B) 15cm long and 9cm wide

( 4 1 ​ + 4 5 ​ ) ^ 2 + 4 3 ​ =

Answers

PEMDAS
(41 + 45) ^ 2 + 43
(86) ^ 2 + 43
7396 + 43
7439

Answer: 7,439

Step-by-step explanation:

(86)^2 + 43

7396 + 43 = 7,439

I'm pretty sure that the other user has the same answer. (godlike74)

633 divided by 3 rounded to the the 10

Answers

Answer: 211

Step-by-step explanation:

633 divided by 3 answers evenly with no decimal

Solve for X
2/3 x +10/60 =100/60

Answers

Answer:

2 1/4

Step-by-step explanation:

subtract 10/60 from each side to get:

2/3x = 90/60

multiply each side by 3/2 to get:

x = 270/120

x = 27/12 or 2 1/4

10. Andy has trumpet practice 4 times every month. Every practice lasts half an hour. What is the total number of minutes that Andy will practice?​

Answers

Answer:

480min a month

Step-by-step explanation:

4×30 =120

120×4=480

Which of the following does NOT represents a function?​

Answers

the answer that does not represent a function is A.

15. Kate plays a card game with two friends. She gives 5 cards to each player. Ten plus what number is equal to the total number of cards Kate gives out? Write an equation to show and solve the problem.​

Answers

Answer:

i believe it would be 0

Step-by-step explanation:

2*5 = x

2*5 = 10

x = 10

10 + y = x

10 + y = 10

-10        -10

-----------------

y = 0

the number is 0

hope this helps! :D

have a miraculous day!! <3

15=2x+10, I had the same problem a couple days ago and I think my teacher said this was accurate

A car weighs 3.6 tons. Find its weight in pounds.

Answers

The answer is 7,200 :)

How to solve 22 – 3y > 7

Answers

Answer:

y < 5

Step-by-step explanation:

22 – 3y > 7

=> 22 – 7 > 3y

=> 15 > 3y

=> y < 5

Therefore, y < 5 is the solution.

Hoped this helped.

A vehicle was travelling at a speed of 72km per hour. What distance did it cover in 2 hours? A. 158km B. 148km C. 168km D. 144km​

Answers

Answer:

D. 144km

Step-by-step explanation:

If the vehicle travels 72km every hour, in two hours, it will drive 144km. (72x2=144)

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