Two students use different methods to solve this multiplication problem:

2/5 multiplied by −15 5/8

Read each of their methods below and then enter numbers to correctly complete their work.

Two Students Use Different Methods To Solve This Multiplication Problem: 2/5 Multiplied By 15 5/8 Read

Answers

Answer 1

Answer:

[tex]-6\frac{1}{4}[/tex]

Step-by-step explanation:

we have

[tex]\frac{2}{5}(-15\frac{5}{8})[/tex]

Part 1) Wyatt Method

Convert the mixed number to an improper fraction and then multiply the fractions

so

[tex]\frac{2}{5}(-15\frac{5}{8})=(\frac{2}{5})(-\frac{125}{8})=-\frac{250}{40}[/tex]

Part 2) Abigail Method

[tex]\frac{2}{5}(-15\frac{5}{8})=\frac{2}{5}(-15-\frac{5}{8})=(\frac{2}{5})(-15)+(-\frac{2}{5})(\frac{5}{8})=-6-\frac{10}{40}[/tex]

The answer as mixed number is equal to

[tex]-6\frac{10}{40}[/tex]

simplest form

[tex]-6\frac{1}{4}[/tex]

Answer 2

Answer:

Given problem,

[tex]\frac{2}{5}\times -15\frac{5}{8}[/tex]

By observing Wyatt method,

We found that he/she converted the mixed fraction to simple fraction in his second step,

Thus, Wyatt's work would be,

[tex]\frac{2}{5}\times -15\frac{5}{8}=\frac{2}{5}\times \frac{-125}{8}=-\frac{25}{4}[/tex]

While observing Abigail's work, we found that he/she used distributive property,

Thus, Abigail's work would be,

[tex]\frac{2}{5}\times -15\frac{5}{8}=\frac{2}{5}.(-15-\frac{5}{8})=\frac{2}{5}(-15)+\frac{2}{5}(-\frac{5}{8})=-6-\frac{1}{4}[/tex]

Hence, the mixed number in simplest form,

[tex]-6\frac{1}{4}[/tex]

Two Students Use Different Methods To Solve This Multiplication Problem: 2/5 Multiplied By 15 5/8 Read

Related Questions

Which of the following options is true about the solution to the given set of equations
y=6x + 9
y=6x + 2

Answers

Answer:

y=6x + 9

Hope this helped!

If there is a 25% discount, what percent of the original price must a customer pay

Answers

Answer: 75% Of the original price

Step-by-step explanation:

find missing number. show work. 120-35=100-?=60+?​

Answers

Answer:

15 and 25

Step-by-step explanation:

First find 120-35=85

so 100-?=85 so ?=15

and 60+?=85 so ?=25

Answer: 120-35= 100 - 15 = 60 + 25

Step-by-step explanation:

You are just trying to make them all equal to 85 because the original sum of 120-35 is 85. so you are setting the rest of the equations to 85 as well.

6 is what percent of 8


Answers

6/8 = 0.75
0.75 x 100 = 75%

The number 6 is 75 percent of 8

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.

We need to find the number that is state 25% of number is 1.

Let the unknown number is represneted by b.

It can be written by;

x% x 8 = 6

6/8 = 0.75

0.75 x 100

x= 75%

Therefore, the percent would be 75%

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a small airplane flies 750 miles with an average speed of 300 miles per hour. 1 hour after the plane leaves, a Boeing 747 leaves from the same point. both planes arrive at the same time, what was the average speed of the 747 ​

Answers

Final answer:

To calculate the Boeing 747's average speed, you subtract the one hour it departs after the small plane from the total travel time of the small plane and divide the same distance of 750 miles by this new time. The 747's average speed is found to be 500 mph.

Explanation:

The question asks for the average speed of a Boeing 747 that departs one hour after a small airplane and arrives at the same time. The small airplane travels 750 miles at an average speed of 300 miles per hour (mph). To find the average speed of the 747, we first calculate the time it takes for the small airplane to reach the destination:

Time = Distance ÷ Speed = 750 miles ÷ 300 mph = 2.5 hours

The 747 leaves an hour later, so its travel time is 2.5 hours - 1 hour = 1.5 hours. The 747 covers the same 750 miles in this shorter time frame:

Average speed of 747 = Distance ÷ Time = 750 miles ÷ 1.5 hours = 500 mph

The computed result is that the 747's average speed is 500 mph to cover the same distance and arrive simultaneously with the small airplane.

Find the area of a 6-gon with side length 10. Round to a whole number.

Answers

Answer:

Area = 260

Step-by-step explanation:

The formula for the area of a 6-gon is

Area = 3*sqrt(3) * side^2 / 2

side = 10

Area = 3 * 1.7321 * 100/2

Area = 259.8

Area = 260

What is the solution to the equation 1 over 2 multiplied by n equals 8 ? (5 points) n = 10 n = 6 n = 4 n = 16

Answers

Answer: n=16

Step-by-step explanation:

The solution to the equation is n = 16.

The equation 1/2 * n = 8 can be solved by multiplying both sides by 2 to find n = 16.

To solve the equation 1/2 * n = 8:

Multiply both sides by 2 to isolate n: n = 8 * 2 = 16.

Therefore, the solution to the equation is n = 16.

What is the area of the polygon? Please help me.

Answers

Break it down into shapes you know. There's a triangle and a rectangle. The area of a rectangle is l*w and in this case it's 5*6 or 30 units². The area of a triangle is 1/2b*h and in this case that is 1/2 * 6 * 3 or 9 units². Add the areas together to find the total area, which is 39 units².

Pick the correct description of the line y=-5/3x

Answers

This line is in slope intercept form y = mx+b

Since we can write it as y = (-5/3)x + 0

m = -5/3 is the slope

b = 0 is the y intercept

The two points (0,0) and (3,-5) are on the straight line.

which answer choice is equivalent to the expression 3x-1/2?
guys oml please help me i am failing this class and i need to get all 400 points of the extra credit assignment. PLEASE )):​

Answers

You can substitute a number in for x and compare the answer choices (not the most efficient way but it's how I would do it). Let's just say x = 5. Then the expression would equal 0.25819889. Substitute 5 in for x is the answer choices and see which one is the same.

A) simplified is 0.004 repeating

B) simplified is 0.25819889

C) simplified is 0.12

D) simplified is 1.341640786

We can see that B is the right answer

There are 56 students going on a field trip to the science center. The students tour the center in groups of 8 how many groups of students are there

Answers

Answer:

There would be 7 groups of students because 56 divided by 8 students gives you 7 groups.

Step-by-step explanation:

Answer:

7 groups 56÷8=7 that is the answer

Subtract.
(5x^2 - 3x - 2) - (-2x^2 - +10)
Express the answer in standard form.
Enter your answer in the box

Answers

Answer:

7x^(2)-3x+8

Step-by-step explanation:

(5x^(2) - 3x - 2) - (-2x^(2) - +10)

(5x^(2))- (-2x^(2))=7x^(2)

(- 2)-(+10)=+8

7x^(2)-3x+8

Final answer:

To subtract (-2x² + 10) from (5x² - 3x - 2), change the signs of the second polynomial and combine like terms. The final result is 7x²- 3x - 12.

Explanation:

The question asks to subtract one polynomial from another, specifically to subtract (-2x²+ 10) from (5x² - 3x - 2). The subtraction of polynomials involves changing the signs of the polynomial being subtracted and then combining like terms. The process will be as follows:

First, change the signs of the second polynomial: -(-2x²) becomes +2x², and -(+10) becomes -10.

Then, combine the like terms with the first polynomial: (5x² + 2x²) becomes 7x², -3x stays the same as there are no like terms, and (-2 - 10) becomes -12.

Therefore, the answer in standard form is 7x²- 3x - 12.

Write an algebraic expression for “12 less than the quotient of 12 and a number z.”

Answers

[tex] \frac{12}{n} - 12[/tex]

Final answer:

An algebraic expression for '12 less than the quotient of 12 and a number z' is represented by the mathematical expression (12/z) - 12.

Explanation:

To write an algebraic expression for "12 less than the quotient of 12 and a number z," you need to understand how to translate the words into a mathematical expression. The quotient of 12 and a number z is written as 12/z. To represent 12 less than this quotient, you simply subtract 12 from it, thus the expression becomes (12/z) - 12.

you are making a fresh fruit salad using cantaloupe how much cantaloupe (AP) would you have to order if you needed 15 pounds (EP) and if canaloupe has a 55 percent yield?​

Answers

Answer:

You would need to order 28 pounds. (27.27...)

Step-by-step explanation:

Let x be the number of cantaloupe. Then, 0.55x-=15.

0.55x=15

55x=1500

11x=300

x=300/11

x=27.27...

Final answer:

To make fruit salad using cantaloupe, you would need to order 28 pounds (AP) if you only need 15 pounds (EP) and the cantaloupe has a 55% yield.

Explanation:

To determine how much cantaloupe (AP) you would need to order, you need to consider the yield percentage. If the cantaloupe has a 55% yield, it means that 55% of the cantaloupe will be usable. So, you need to order more than 15 pounds (EP) to account for the reduced yield.



To calculate the amount of cantaloupe (AP) to order, you can use the formula:



AP = EP / Yield Percentage



Using the given values, the calculation would be:



AP = 15 pounds / 55% = 27.27 pounds



Rounded up to the nearest whole number, you would need to order 28 pounds of cantaloupe (AP) to obtain 15 pounds (EP) with a 55% yield.

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Chad's family traveled [tex]\frac{5}{8}[/tex] of the distance to his grandmother’s house on Saturday. They traveled [tex]\frac{1}{3}[/tex] of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?

Answers

a whole or 1, is when the numerator and denominator are the same, namely 2/2, 3/3, 10000/10000 is a whole.

on Saturday they travelled 5/8 of the way, now, the whole being 8/8, so if we take 5/8 from 8/8, we're simply left with 3/8, that's the remaining distance to grandmas house.

on Sunday they travelled 1/3 of that remaining amount, how much is that?  well, is simply their product,

[tex]\bf \cfrac{3}{8}\cdot \cfrac{1}{3}\implies \cfrac{3}{3}\cdot \cfrac{1}{8}\implies \cfrac{1}{8}[/tex]

Hazel and Jody received their monthly cell phone bills on Thursday.

Hazel's bill showed that she had a balance of -14 minutes of talk time remaining, which meant she went over her limit.

Jody's bill showed that he had a balance of 20 minutes of talk time remaining.

What is the difference between the remaining number of minutes?
A.
34 min
B.
6 min
C.
3 min
D.
39 min

Answers

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                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ The correct answer choice is A. 34 min.

Find the difference (subtraction):

20 - -14 = 34

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

I think it’s D. But I’m not 100 sure

A 50-foot flagpole is at the entrance of a building that is 300 feet tall. If the length of the flagpole's shadow is 30 feet at a certain time of day, how long is the building's shadow at that time? PLEASE HELP

Answers

Answer:

hard  question

Step-by-step explanation:

Plz help me get the right answer for these I hate math -.-

Answers

Answer:

The answer C. y=60x+120

Step-by-step explanation:

By using desmos, you can see the plotted points and what goes correctly into the line.

To rationalize the denominator of 2/square 13+ squared 11 , you should multiply the expression by which fraction?

Answers

Answer:

You should multiply the expression by [tex]\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}[/tex]

Explanation:

To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign

This means that:

The conjugate of a + b would be a -  b

Now, the given expression is [tex]\frac{2}{\sqrt{13}+\sqrt{11}}[/tex]

Consider the denominator:

From the above, we can conclude that the conjugate of [tex]\sqrt{13}+\sqrt{11}[/tex] is [tex]\sqrt{13}-\sqrt{11}[/tex]

And, remember that we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value

Therefore:

You should multiply the expression by [tex]\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}[/tex] in order to rationalize the denominator

Hope this helps :)

Answer:

[tex] \frac { \sqrt { 13 } - \sqrt { 11 } } { \sqrt { 13 } - \sqrt { 11 } } [/tex]

Step-by-step explanation:

We are given the following expression and we are to determine the expression that we need to multiply it with in order to rationalize the denominator:

[tex] \frac { 2 } { \sqrt { 13 } + \sqrt { 11 } } [/tex]

To rationalize its denominator, we must multiply it with its conjugate.

For the denominator of the given expression, its conjugate would be [tex] \sqrt { 13 } - \sqrt { 11 } [/tex].

So to rationalize the expression, we would multiply it with:

[tex] \frac { \sqrt { 13 } - \sqrt { 11 } } { \sqrt { 13 } - \sqrt { 11 } } [/tex]

what percent of 5 is 7.4

Answers

148% soooo yeah that is the answer

Answer:

Step-by-step explanation:

Help me accidentally checked in

Answers

Answer:  b) 16

Step-by-step explanation:

[tex]64^{\frac{2}{3}}=(2^6)^{\frac{2}{3}}=2^{\frac{12}{3}}=2^4=2\cdot \cdot 2\cdot 2\cdot 2=\boxed{16}[/tex]

Answer:

[tex]\boxed{\bold{16}}[/tex]

Step By Step Explanation:

Factor: [tex]\bold{64=4^3}[/tex]

[tex]\bold{\left(4^3\right)^{\frac{2}{3}}}[/tex]

Apply Exponent Rule [tex]\bold{\left(a^b\right)^c=a^{bc}: \ \left(4^3\right)^{\frac{2}{3}}=4^{3\cdot \frac{2}{3}}=4^2}[/tex]

[tex]\bold{4^2}[/tex]

Refine

[tex]\bold{16}[/tex]

5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5​

Answers

Answer:

152,587,890,625

Step-by-step explanation:

5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5=[tex]5^{16}[/tex]

[tex]5^{16}[/tex]=152,587,890,625

Answer:

152,587,890,625

Step-by-step explanation:

I don't know if your joking nor not but this is the answer if your weren't <#3

Find the area of the shaded region

Answers

31x^2 + 53x - 8



Use the FOIL method to find the area of the large rectangle. (7x - 2)(9 + 5x)

First term in each binomial: 7x * 9 = 63x
Outside terms: 7x * 5x = 35x^2
Inside terms: -2 * 9 = -18
Last term in each binomial: -2 * 5x = -10x

Now, just add them all up.

63x + 35x^2 - 8 - 10x

35x^2 + 53x - 8



Now find the area of the square.

2x * 2x = 4x^2



Now, subtract the areas.

31x^2 + 53x - 8



Please consider marking this answer as Brainliest to help me advance.

Find the equation of the line below.

Answers

y=1/2x is your answer :)))

Answer:

y=1/2x is your answer :)))

Step-by-step explanation:

an actor will earn d dollars this year. His agent Collects a Commission of 10% of all his earnings. which expression shows how many dollars the actor will earn this year after the agent's commission is Deducted?​

Answers

Answer: d - (d x .1)

Step-by-step explanation: The expression that will show how much the actor will earn is d - (d x .1). D is the actor’s earnings and d x .1 is the commission of their agent.

Final answer:

The expression that shows how many dollars the actor will earn this year after the agent's commission is deducted is d - 0.1d. The agent collects a commission of 10% of the actor's earnings, which is subtracted from the total earnings.

Explanation:

The expression that shows how many dollars the actor will earn this year after the agent's commission is deducted is:

d - 0.1d

Since the agent collects a commission of 10% of the actor's earnings, we can multiply the earnings by 0.1 to find the amount of commission. Subtracting this amount from the total earnings gives us the amount the actor will earn after the commission is deducted.

Choose the graph that matches the following system of equations:

4x + 2y = −2
x − 3y = 24

A) a line includes points 0 comma 8 and 3 comma 7. A line includes points negative 1 comma 0 and negative 6 comma 10

B) a line includes points 0 comma 8 and 3 comma 7. A line includes points negative 1 comma 3 and negative 2 comma 7

C) a line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6

B) a line includes points 0 comma negative 1 and 1 comma negative 5. A line includes points negative 1 comma negative 9 and 2 comma negative 6

Answers

Answer:

Option C.

Step-by-step explanation:

we have

[tex]4x + 2y = -2[/tex] -----> equation A

[tex]x-3y=24[/tex] -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

see the attached figure

The intersection point is (3,-7) -----> is a common point both lines

The point (1,-3) belong to the line A

The point (6,-6) belong to the line B

therefore

a line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6

Use logarithmic regression to find an equation of the form y= a+b In(x) to model the data

Answers

Answer:

-76.204

37.673

Step-by-step explanation:

ur welcome :0

Final answer:

To find an equation of the form y = a + b ln(x) to model the data, follow these steps: Enter the data into a calculator and make a scatter plot, use the calculator's regression function to find the equation of the least-squares regression line, and add the equation of the regression line to the scatter plot.

Explanation:

Logarithmic Regression

To find an equation of the form y = a + b ln(x) to model the data, follow these steps:

First, enter the data into a calculator and make a scatter plot.Next, use the calculator's regression function to find the equation of the least-squares regression line.Add the equation of the regression line to the scatter plot from Step 1.

By doing this, you will obtain the equation that models the data using logarithmic regression.

Can you help me with this?

Answers

Volume is L x W x H. Since the three dimensions are all multiplied by each other it doesn't matter the order.

This means the answer would be D.

(X+1)^3/2-2=25 solve

Answers

Answer:8

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.Raise each side of the equation to the  2 /3  power to eliminate the fractional exponent on the left side.

Solve the equation for  x .

Answer:

[tex] x = 8 [/tex]

Step-by-step explanation:

[tex] (x + 1)^\frac{3}{2} - 2 = 25 [/tex]

[tex] (x + 1)^\frac{3}{2} = 27 [/tex]

[tex] \left((x + 1)^\frac{3}{2} \right)^\frac{2}{3} = 27^\frac{2}{3} [/tex]

[tex] x + 1 = 3^2 [/tex]

[tex] x + 1 = 9 [/tex]

[tex] x = 8 [/tex]

Claire got 17 out of 20 questions correct on her vocabulary quiz. What percent of the questions did she get right

Answers

Answer: The correct answer is 85%

Step-by-step explanation:

If you divide 17 by 20 then you'll get 0.85 which is the same as 85%.

17 ÷ 20 = 0.85, OR, 85%  ← Work

* Hopefully this helps:) Mark me the brainliest:)!!!

Claire got 85% of the questions correct on her vocabulary quiz by answering 17 out of 20 questions correctly.

Claire got 17 out of 20 questions correct on her vocabulary quiz. To calculate the percentage of questions Claire got right, you would use the following formula:

Percentage Correct = (Number of Correct Questions \/ Total Number of Questions) x 100%

Applying Claire's numbers to this formula:

Percentage Correct = (17 \/ 20) x 100% = 0.85 x 100% = 85%

Therefore, Claire got 85% of the questions correct on her quiz. This is a high percentile, which indicates she did very well, considering that seventy percent of students answered 16 or fewer questions correctly and thirty percent of students answered 16 or more questions correctly. A higher percentile is generally considered good, as it means answering more questions correctly, which is desirable.

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