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

A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 90 for homework, 95 for the quizzes, 85 for the midterm and 84 for the final exam. What will be the student’s class grade?
Class grade: ?

Answers

Answer:

86.55%

Step-by-step explanation:

Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:

90 × 0.20= 18

95 × 0.10= 9.5

85 × 0.25= 21.25

84 × 0.45= 37.8

Adding these numbers together, you could get 86.55, or 86.55%.

PLEASE HELP
What is the volume of the cylinder?
A. 60.0 cm3
B. 120.0 cm3
O C. 188.4 cm
D. 300.0 cm3
E. 942.0 cm

Answers

Answer:

i think E.942 cm³ is answer

Volume = πr²h

so

3.14×5×5×12

= 942 cm²

Help help math math help help

Answers

Answer:

102 degrees below horizontal

Step-by-step explanation:

if the first angle is 78 degrees, the angle on the other side of the line is 102 degrees because a straight line is 180 degrees, and a box would have a total of 360 degrees in it

because the same line passes through both horizontal lines, the angle 3 is equal to the opposite angle to the 78

180-78 = 102

another way to look at it is that the 78 degrees is the same angle directly above angle 3 because the horizontal lines are parallel, and if it is 78 degrees, that makes the angle below it (angle 3) 102 degrees since a straight line must add to 180 degrees

Answer:

102

Step-by-step explanation:

−4x−2 + 3y0 if x = 2 and y = 5

Answers

Hey there!

-4x^-2 + 3y^0

= -4(2)^-2 + 3(5)^0

= -4(1/4) + 3(5)^0

= -1 + 3(5^0)

= -1 + 3(1)

= -1 + 3

= 2

Therefore, the answer should be: 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

PLEASE HELPPP
ILL GIVE 5 STARS TY

Answers

Answer:

14

Step-by-step explanation:

4^2=16

16/2=8

8+6=14

Answer:

[tex]14[/tex]

Step-by-step explanation:

This equation would be easier to do if it was: [tex]6+\frac{4^2}{2}[/tex]

So first you have to cancel out: [tex]\frac{4^2}{2}[/tex] so that would become [tex]6+8[/tex]

Finally [tex]6+8=14[/tex]

There you go brainliest pls

PLEASE HELP ME WITH THIS! I NEED TO PASS THIS ASAP

Answers

Answer:

The Y-Int. is 60

Step-by-step explanation:

0 marks the x axis, which leads me to believe 60 is the Y-int so (0,60)

A train travels 150 miles in three hours at the same rate how many miles will it travel in eight hours

Answers

Answer:400

Step-by-step explanation:

150 / 3 = 50 so 50 x 8= 400

What is the smallest integer value that makes the inequality true? 3x - 10 > 2x + 4

Answers

Answer:

x=0 is the smallest integer

Step-by-step explanation:

Please help me understand how I would pick the correct formula for step 1 for the question in the image? I am really confused.

Answers

Answer:

The first option

Step-by-step explanation:

We are doing height above shadow height. Since the telephone poll is 40 feet high with a 32 feet shadow, it is 40/32. We know the sign casts a 12 1/2 shadow, so this will be our denominator. h is our unknown, so we will have h / 12 and a half as our second fraction for our ratio.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

if fifteen families are coming to the picnic and they all split the cost evenly between them how much will each family contribute towards the cost of the shelter​

Answers

How much is the shelter?

lcm of 5,12 and 20????,

Answers

Answer: 60

Step-by-step explanation:

What is the exponential expression for the numerical expression 6·6·6·6·6? ​ 5·6^5​ 5^6. ​6^5. 30^5​



32 POINTS

Answers

The answer should be 6^5

(2a+15ab)-(7a+6b-10ab)

Answers

Answer:

Step-by-step explanation:

-5a - 6b + 25ab

add like terms

1,256 balls divided by 13 games. About how many balls should each game get? Estimate answers are:
A. About 80
B. About 100
Those are the choices. 80 is not enough and 100 is too many. 90 or 96R8 not there. Ugh.

Answers

100
If you round 1256 to 1300 and then divide it by 13 you get about 100

WILL GIVE BRAINLIEST!

Answers

Answer:

425

Step-by-step explanation:

225/24 then multiply the answer by 40

7. at + b = ar – c
Solve for a

Answers

okkkkkkkkkkkkkkkkkkkkkkkkkkk

Which graph is generated by this table of values?
PLS HURRY




Answers

Use two points to find the slope

Answer:

The first graph.

Step-by-step explanation:

You can see on the first graph that all of the y values and x values add up with what you need.

Help w exponential functions pls

Answers

Answer:

Step-by-step explanation:

"end behavior" means what the is graph doing if you keep going off the page.

The symbol "x approaches negative infinity" is going off the page to the left. Both graphs are going up, up, up as you look at the x's going off the page to the left. See image.The last point of the g(x) on the table, when it's on the graph, you can see that curve hit bottom and turned up. So g(x) is going up, up, up as you look at all the x's going to the right. However the original graph, the green graph f(x), well, it's kind of flat, but it IS going down, down, down as you go off the page to the right.

So the end behavior is the same as x approaches negative infinity and different as x approaches infinity.

Please help!! Thank you!!!!

Answers

Answer:

total cost = 10 • months + 100

Step-by-step explanation:

The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.

Sec one on your computer

Factorise it

(x + 2y)² – (x – 2y)²
​​

Answers

[tex]\text{Given that,}\\\\(x+2y)^2 - (x-2y)^2\\\\=(x+2y +x -2y)(x+2y -x+2y)~~~~;[a^2 - b^2 = (a+b)(a-b)]\\\\=(2x)(4y)\\\\=8xy[/tex]

What is the equation of the line that passes through the point (8,-4) and has a slope of 1/2

Answers

Answer:

y = 1/2x - 8

Step-by-step explanation:

Assuming that they want the equation in slope intercept form we would use the following form: y = mx + b

where m = slope and b = y intercept.

We are given the slope and a point on the line. We need to find the y intercept. We can do this by plugging in what we are given and then solving for b.

y = mx + b

slope (m) = 1/2

x value of given point (x) = 8

y value of given point (y) = -4

- plug in these values -

-4 = (1/2)(8) + b

now solve for b

multiply 1/2 and 8

-4 = 4 + b

subtract 4 from both sides

-8 = b

So the y intercept (b) is -8

We now plug in the slope and y intercept into slope intercept form

y = mx + b

m = 1/2 and b = -8

y = 1/2x - 8 is the equation of the line that passes through the point (8,-4) and has a slope of 1/2

For more validation refer to the attached image.

[tex]\text{Given that,}\\\\(x_1,y_1) = (8,-4), ~~ \text{and slope, m} = \dfrac 12\\\\\text{Equation with given points,}\\\\y -y_1 = m(x-x_1)\\\\\implies y -(-4) = \dfrac 12 (x-8)\\\\\implies y+4 = \dfrac 12 x - 4\\\\\implies y= \dfrac 12x -4 -4 \\\\\implies y = \dfrac 12 x -8\\\\\implies y = \dfrac{x-16}2\\\\\implies 2y = x -16\\\\\implies x -2y = 16[/tex]

What is the range if this function ?

Answers

Answer:

-4 to 0 (both -4 and 0 are included in the range because of the dots)

72.18 into like fraction

Answers

step by step explanation

Write 72.18 as=

[tex]Write 72.18 as = \frac {72.18}{1} [/tex]

Multiply both numerator and denominator by 10 for every number after the decimal point

[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]

Reducing the fraction gives

[tex] \frac{3609}{50} [/tex]

A) assuming the car is traveling at a constant speed, at what rate is the car traveling?

Answers

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average acceleration = (change in velocity)/(time it takes). Since the car's change in velocity is zero, its acceleration is zero.

Si mi hermano gana 589 pesos diarios si ha trabajado 15 días de este mes ¿cuánto dinero ha ganado?

Answers

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

En esta pregunta debemos determinar el dinero devengado por un período de 15 días a partir de una tasa diaria constante. Esa cantidad es igual al producto de la tasa diaria constante, en pesos por día, y el número de días trabajados, en días:

[tex]x = 589\,\frac{\$}{dia}\times 15\,dias[/tex]

[tex]x = 8835\,\$[/tex]

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

Para aprender más sobre álgebra y aritmética, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/953809

(giving brainlelist if answered correctly!) which of the following inequalities is -4
?

Answers

-5 is always smaller than -4. So, x might be -4. So, A is an option you should select.2 is greater than -4. So, x might be -4. So, B is an option you should select.If we place -4 in x, we get 3(-4)+4, i.e., -12 + 4 = -8. So, 3x + 4 = -8. Therefore, you cannot select C because it cannot be greater than, it should be always equal to.5(-4) = -20, 2(-4) - 3 = -8 -3 = -11. -11 is greater than -20 but they are never equal. So, you cannot select D.4 - 2(-4) = 4 + 8 = 12. 12 is greater than -6. Therefore, you should select E.

Answer

A, B, E.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Natalie walked
3
5
mile in
1
2
hour. How fast did she walk, in miles per hour?

A.
5
6
miles per hour

Answers

Answer:

7 miles / hour

Step-by-step explanation:

I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.

Givens

d (distance ) = 3.5 miles

t (time) = 1/2 hour

r (rate) = ?

Formula

r = d/t

Solution

The easiest way to do this is to change the fractions to decimals.

t = 1/2 = 0.5 hours

r = 3.5 / 0.5

r = 7 miles per hour.

I need help asap! Pls :)

Answers

Answer:

x = 18

Step-by-step explanation:

What expressions is equivalent to -19.2 - (-3.8)

Answers

Answer:

-19.2

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

What do we call these types of fractions?

1/2 and 5/10

Answers

This are fractions because they are not mixed fraction by the way those two are 0.5

Answer:

Proper Fractions.

Step-by-step explanation:

These are Proper Fractions because the numerator (1 and 5) is lower than the denominator (5 and 10).

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