Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?

Answers

Answer 1

i know this is late but the answer is 8 because your doing common factors so you you so 16 over 24 and see what number can go into both of those numbers which is 8 because 8 times 2=16 and 8 times 3= 24 so the answer is 8 again sorry i was late

Answer 2

Answer:

Maximum number of packets made = 8

Step-by-step explanation:

Number of pencils Rosy has = 16

Number of erasers Rosy has = 24

Now, it is given all the packets made contain equal number of pencils and erasers in each packet.

Therefore, to find the maximum number of packets : We find the HCF of both 16 and 24

16 = 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

Common factors are : 2, 2 and 2

⇒ HCF = 2 × 2 × 2

= 8

So, 8 packets can be made from 16 pencils and 24 erasers so that each packet will contain 2 pencils and 3 erasers each.

Hence, Maximum number of packets made = 8

Related Questions

Solve the problem. Round to the nearest hundredth of a percent if needed. During clinical trials of a new drug intended to reduce the risk of heart attack, the following data indicate the occurrence of adverse reactions among 1100 adult male trial members. What is the probability that an adult male using the drug will experience nausea?

A. 2.02%

B. 1.73%

C. 27.59%

D. 2.18%

Answers

Based on the given table above, the correct answer would be option D. 2.18%. So how did we get this result. Looking at the table, the number of adults experiencing nausea is 24 and the total number of trial members is 1100. So given these values, the probability of getting nausea (as a percentage) is (24/1100)*100. (0.0218)*100, so we get 2.18. Which gives the probability of 2.18%. Hope this answer helps.

Use the quadratic formula to solve the equation. 4x^2+9x-10=0

Answers

well the quadratic formula is -b+or - squareRoot b squared- 4(a)(c) divide by 2(a)

What is the sale price of $59 with a 10% discount??

Answers

10% of 59 = 5.9

59 - 5.9 = 53.1

answer: sale price is $53.1

Find a polynomial of degree n that has the given zeros. (There are many correct answers.)
zeroes: x=-1,5,7
degree: n=3

Answers

( x + 1 ) * ( x 5 ) * ( x - 7 ) =
= ( x² - 5 x + x - 5 ) * ( x - 7 ) =
= ( x² - 4 x - 5 ) * ( x - 7 ) =
= x³ - 7 x² - 4 x² + 28 x - 5 x + 35
Answer:
P ( x ) = x³ - 11 x² + 23 x + 35

Write3/4 3/6 1/3 and 2/12 from least to greatest

Answers

To compare, create a common denominator:

3/4 = 9/12
3/6 = 6/12
1/3 = 4/12
2/12 = 2/12

Now we can list them: (least to greatest)

2/12, 1/3, 3/6, 3/4

Hope this helps!

In the beginning we have to find Lcm
(Lcm of 4,6,3 & 12 is 12)
so
3/4 will be 9/12
3/6 will be 6/12
1/3 will be 4/12
2/12 will be 2/12
So, the order will be
2/12,4/12,6/12,9/12
Then we will return the numbers as they were before
So, the answer is
2/12,1/3,3/6,3/4

In a company 60% of the workers are men is 880 women work for the company how many workers are there in all

Answers

I will do my best to answer this question due to the gramatical errors made making it difficult to read and understand.
assuming that the 880 is the number of women employed that makes up 40% of the company employees
880+ (880*1.5) = 2200 employees total

mBAC = 22.21°
mABC = 137.67°
mBCA = 20.12°

Classify the triangle by its angles

Answers

Scalene no angles or sides are the same therefor a scalene triangle. Obtuse Scalene if you want to be precise.

Factor 5x^3 40x^2 - 100x

Answers

5x^3+40x^2-100x
5x(x^2+8x-20)
=5x(x+10)(x-2)

What is 15.6 over 100 in simplest form?

Answers

[tex] \frac{15.6}{100} [/tex] ← multiply both the numerator and the denominator by 10
[tex] \frac{156}{1000} [/tex] ← simplify
[tex]\frac{39}{250}[/tex]

The answer's [tex]\frac{39}{250}[/tex].

If a Canadian dollar is worth $0.82 in American money, how much is an American dollar in Canadian money?

Answers

the currect exchange rate in canada is .96 euro per 1 american dollar

i would have to say 2$because of the price to buy a canadian dolar

Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wrap 36 boxes of the same size. One day they work together for t hours to gift wrap 65 boxes. Which equation models this situation?

Answers

"Jack can wrap 28 boxes in 2 hours"
Jack wraps 28 boxes/(2 hours) = 14 boxes/hour

"Walter takes 3 hours to wrap 36 boxes"
Walter wraps 36 boxes/(3 hours) = 12 boxes/hour

Together they wrap 14+12 = 26 boxes per hour.
t hours × 26 boxes/hour = 65 boxes

Answer: They work for 2.5 hours to gift wrap 65 boxes.

Step-by-step explanation:

Since we have given that

Number of boxes Jack can wrap = 28

Time taken by him = 2 hours

Number of boxes Walter can wrap = 36

Time taken by him = 3 hours

Work done by Jack in 1 hour is given by

[tex]\frac{2}{28}\\\\=\frac{1}{14}[/tex]

Work done by Walter in 1 hour is given by

[tex]\frac{3}{36}\\\\=\frac{1}{12}[/tex]

So, Work done by both Jack and Walter in 1 hour is given by

L.C.M. of [tex](\frac{1}{14},\frac{1}{12})[/tex] is [tex]=\frac{l.c.m.\ of \ numerator}{h.c.f\ of\ denominator}=\frac{1}{2}[/tex]

Number of units done by Jack is given by

[tex]\frac{\frac{1}{2}}{\frac{1}{14}}\\\\=\frac{14}{2}\\\\=7\ units[/tex]

Number of units done by Walter is given by

[tex]\frac{\frac{1}{2}}{\frac{1}{12}}\\\\=\frac{12}{2}\\\\=6\ units[/tex]

So, Let the number of hours be 't' .

[tex]7t+6t=\frac{1}{2}\times 65\\\\13t=\frac{1}{2}\times 65\\\\t=\frac{1}{2}\times \frac{65}{13}\\\\t=\frac{5}{2}\\\\t=2.5\ hours[/tex]

So, They work for 2.5 hours to gift wrap 65 boxes.

1.In the metric system, the base unit for mass is the

gram
liter
kilogram
kiloliter

2.Which of the following is the largest distance?

Centimeter
Millimeter
Decimeter
Kilometer

3.Which of the following prefixes represents the smallest number?

Centi
Kilo
Milli
Deci

4.All of the following measure mass except

milligram
kilogram
decigram
centimeter

5.What is a metric base unit?

The standard unit that is used for each type of measurement.
The smallest unit in the metric system.
The largest unit in the metric system.
The best unit for measuring what you want to measure.

Answers

1.) bass unit for mass is gram
2.) largest distance is kilometer
3.) smallest prefix is Milli
4.) centimeter because it measures length
5.) The standard unit that is used for each type of measurement

What is 20x346 equal ??

Answers

6,920 hope this helps you :p

5(x+2)= -2(x+9) equals?

Answers

The answer to 5(x+2)= -2(x+9) is x= -4

5 ( x + 2) - (-2 ((x + 9)) → 0

(5 ( x + 4 ))l - ( 0 - 2 ( x + 9)) → 0

5 ( x + 2) - -2 (x + 9) → 0

7x + 28 → 7 ( x + 4)

7 ( X + 4) → 0

7 → 0 (←Solve this)

x + 4 (←Solve this)

Therefore, your answer would have to be "X" equaling to -4

Simultaneous equation:
Solve:

2x-3y=11
5x+2y=18

Answers

x—2 equations combined: 2(2x - 3y) + 3(5x + 2y) = 2(11) + 3(18) 4x - 6y + 15x + 6y = 22 + 54 19x = 76 x = 4 y—1st equation, substitute x: 2(4) - 3y = 11 8 - 3y = 11 3y = - 3 y = - 1 Answer: x = 4, y = - 1 Proof—2nd equation: 5(4) + 2(- 1) = 18 20 - 2 = 18 18 = 18

2*2x-2*3y=2*11-------------------------(1)
3*5x+3*2y=3*18------------------------(2)
add equation(1)&equation(2)
_____________________________
4x+15x=22+54
19x=76
x=4
put the value of x in equation(1)
2*2*4-2*3y=2*11
16-6y=22
16-22=6y
6y=-6
y=-1
x=4

Please help. ASAP!!!

Answers

4/5 is the answer :)

8.) A linear equation has more than one y-intercept. What can you conclude about the graph of the equation??

Help Idk this question!!
Please help me it is one of my math homework questions!!

Answers

Answer:

Step-by-step explanation:

A straight line can either have 1 y-intercept or infinitely many y intercepts. The only case in which there are infinitely many y-intercepts is when the line represents the y-axis itself. On y-axis, x is always 0. So the line that represents the y-axis is the line x=0. However, it is not a linear equation. In short, only the line representing y-axis has more than 1 y-intercepts. There cannot be such a linear equation(function).

Final answer:

A linear equation cannot have more than one y-intercept. Having multiple y-intercepts would violate the definition of a function as each input (x-value) should only be associated with one output (y-value). Therefore, a linear equation with multiple y-intercepts suggests an error.

Explanation:

In the field of mathematics, specifically in algebra and graphing, a linear equation cannot have more than one y-intercept. The y-intercept of a linear equation is the point at which the line crosses the y-axis on a coordinate plane. Linear equations are represented by the formula y = mx + b, where 'm' is the slope of the line and 'b' is the y-intercept. If an equation were to have more than one y-intercept, it would violate the definition of a function, which states that each input (or x-value) is only associated with one output (or y-value). Hence, if a linear equation was portrayed as having more than one y-intercept, it would imply an error in the equation or in the graph itself.

Learn more about Linear Equations here:

https://brainly.com/question/32634451

#SPJ6

The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?

A. length = 5 cm; width = 5 cm
B. length = 7 cm; width = 6 cm
C. length = 6 cm; width = 7 cm
D. length = 4 cm; width = 9 cm ...?

Answers

l = 2w - 5 . . . (1)
2l + 2w = 26
l + w = 13 . . . (2)

Putting (1) into (2), gives
2w - 5 + w = 13
3w = 13 + 5 = 18
w = 18/3 = 6
l = 2(6) - 5 = 12 - 5 = 7

Therefore, length = 7 cm and width = 6 cm. (option B)

Here is the solution to the given problem above.
Given:
Let x be the width and L for length.
L= 2x -5
P = 2w + 2L
26 = 2x + 2(2x -5)
26 = 2x +4x - 10
26 = 6x -10
26 +10 =6x
36 =6x <<< divide both sides by 6
and we get x =6
Therefore the width is 6 centimeters.
Now to find the length.
L = 2x - 5 <<< substitute x with 6.
L = 2(6) - 5
L = 7
Length is 7 centimeters.
Therefore, the final answer would be option B. Length = 7 cm and width is 6cm.
Hope this answer helps.

What are the x– and y–intercepts of the graph of y = 2x^2 – 8x – 10?

Answers

x-intercepts are found by setting y=0
[tex]y=2x^2-8x-10\rightarrow0=2x^2-8x-10[/tex]
factor out a 2 [tex]0=2(x^2-4x-5)\rightarrow0=x^2-4x-5[/tex]
[tex]0=(x-5)(x+1)[/tex] roots should be x=-1,5
therefore, x-intercepts are (-1,0) and (5,0)

y-intercepts are found by setting x=0
[tex]y=2x^2-8x-10\rightarrow y=2(0)^2-8(0)-10[/tex]
[tex]\rightarrow y=0-0-10=-10[/tex]
therefore, y-intercept is (0,-10)

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?
a. y – 1 = 6x
b. y – 1 = 3x
c. y – 7 = 2x – 6
d. y – 7 = x – 2

Answers

For this we will use equation that gives us equation of line that goes through 2 given points.

that equation is:
[tex]y - y1= \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

now we implement our given coordinates.
let Q be point 1 and R be point 2
y - 1 = 6/2(x - 0)
y - 1 = 3x

Answer is b.

The Answer is B.

I took the unit review, as well as did the math myself,

Write 6 ×10000 5×1000 2×100 3×1 as a number.

Answers

first: 6 x 10000= 60000
second: 5 x 1000= 5000
third: 2 x 100= 200
fourth 3 x 1= 3
fifth add them all together: 65203

Divide 456 by 28 and write the answer
A. As a mixed number
B. As a decimal rounded to teo decimal places
C. Rounded to the nearest whole number

(Please look at answers below and tell me if correct or if wrong how to fix it)
...?

Answers

The results of the expression are 8 2/7 ; 16.286 and 16 respectively.

Using the expression given :

456 / 28

Now we divide:

A.)

456 / 28 = 16 remainder 8

Now we have :

8 8/28

= 8 2/7

B.)

As a decimal :

456 / 28

= 16.286

C.)

Rounded to the nearest whole number:

456 / 28

= 16.286

≈ 16

Final answer:

To divide 456 by 28: as a mixed number is 16 2/7, as a decimal rounded to two places is 16.29, and to the nearest whole number is 16.

Explanation:

To divide 456 by 28, we start by performing the division to find the quotient and the remainder. Firstly, 456 divided by 28 equals 16 with a remainder of 8.

Answering the three parts:

A. As a mixed number, we have 16 and 8/28. Simplifying the fraction 8/28 to its lowest terms, we get 2/7. Thus, the mixed number is 16 2/7.B. To express the quotient as a decimal rounded to two decimal places, 456 divided by 28 equals approximately 16.29.C. The quotient, rounded to the nearest whole number, is 16.

The information provided seems to be examples of rounding and significant figures from various arithmetic operations but does not directly relate to the division of 456 by 28, which is our primary focus. Please note that while rounding to the nearest whole number or to two decimal places, it's important to correctly evaluate the quotient that the specific calculation yields.

The price of a stock is $3.17 per share. what is the greatest number of whole shares mr. smith can buy with $200?
a. 15
b. 63
c. 66
d. 117

Answers

I think the answer is B

Answer:

the answer is b.63

Step-by-step explanation:

Hello, I can help you with this

Step 1

to solve this you must divide the money Mr Smith has by the price of a stock per share, it is

Money Mr smith has = $200

The price of a stock is $3.17

[tex]\frac{200 usd}{3.17\frac{usd}{share} }\\ =63.09\ shares\\\\[/tex]

he cand by whole shares, so he can buy exactly 63 shares

so, the answer is b.63

I really hope it helps, Have a great day.

A third grade class was given a multiplication quiz. The quiz had 10 problems. Any correctly answered 6 problems, Bobby answered 7 problems correctly, Tom answered 9 problems correctly, and Sue only answered 2 problems correctly.
A. What fraction of the problems did each student get correct on the quiz?
B. ORDER the fraction of problems each student got correct from greatest to least.

Answers

A.
Anne: 6 / 10; Simplified: 3 / 5
Bobby: 7 / 10
Tom: 9 / 10
Sue: 2 / 10; Simplified: 1 / 5

B.
9 / 10 (Tom), 7 / 10 (Bobby), 6 / 10 (Or 3 / 5, Anne), 2 / 10 (Or 1 / 5, Sue)

What's the account balance after 6 years when you invest$1600 with interest rate of 6.5% compounded continuously

Answers

Not sure use brainly greate Website for answers

Answer:the answer is the one given below, you need to use A=Pe^rt

Step-by-step explanation:

P= amount of money invested

r=interest rate percentage in decimal form

t=time in years

A=total money in account ️

HELP ME PLEASE?Choose the correct statement about best-fit lines.

a. A best-fit line is close to most of the data points.
b. A best-fit line describes the exact coordinates of each point in the data set.
c. A best-fit line always has a positive slope.
d. A best-fit line must go through at least two of the data points.

Answers

B
a best- fit line describes the exact coordinates of each Point in the data set

The answer is the option A. A best-fit line is close to most of the data point.

A best-fit line intends to minimize the average error (the distance of actual points to the line) , the you might find that the line do not pass through the points, but is close to most of points.

A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An observer on the opposite side of the river measures an angle of 9° between her line of sight to the top of the flagpole and her line of sight to the top of the cliff. Find the height of the flagpole.

Answers

I would solve this using tangents. Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.

Now write the tangent ratios:
[tex]tan A = \frac{h+70}{40} , tan B = \frac{70}{40} [/tex]

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
[tex]tan (A-B) = \frac{tanA - tanB}{1+tan A tan B}[/tex]
Plug in what we know:
[tex]tan(9) = \frac{ \frac{h+70}{40} - \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})} [/tex]
[tex]tan (9) = \frac{ \frac{h}{40}}{ \frac{7h +650}{160}} = \frac{4h}{7h+650} [/tex]
[tex]h = \frac{650 tan(9)}{4-7 tan(9)}[/tex]
[tex]h = 35.6[/tex]

What statement about the equation is true? 3(4x-2)=12x
A. The equation has one solution
B. The equation has no solution
C. The equation has a few solutions
D. The equation has many solutions

Answers

B. The equation has no solution

If you do the math to the equation, you get -6=0. Therefore, there is no solution to the equation since -6 can never equal 0.

Change this radical to an algebraic expression with fractional exponents.
√x^3

Answers

So here is how we are going to solve this:
The power of the given expression is 3 and the root is 5. So in writing a fractional exponent, we just have to make 3 as the numerator. So multiply both sides by 3/5 to take the root sign off and the final answer would be x^3/5. 3/5 is the power. Hope this answer helps.

Final answer:

To express[tex]$\sqrt{x^3}$[/tex] as a fractional exponent, it is rewritten as[tex]$x^{\frac{3}{2}}$,[/tex] correlating the square root operation to the power of \[tex](\frac{1}{2}\)[/tex]and multiplying by the exponent 3.

Explanation:

To change the radical[tex]$\sqrt{x^3}$[/tex]to an algebraic expression with fractional exponents, we can use the property that any root can be expressed as a power with a fractional exponent. The square root of a variable to some power can be represented by raising the variable to the power of half the original exponent.

In this case,[tex]$\sqrt{x^3}$[/tex]can be written as [tex]$x^{\frac{3}{2}}$.[/tex] This is because the square root operation is equivalent to raising to the power of[tex]$\frac{1}{2}$,[/tex] and when we multiply the exponents [tex]$3 \times \frac{1}{2}$,[/tex] we get[tex]$\frac{3}{2}$.[/tex]

Find x and y. Remember that a + bi = c + di exactly when a = c and b = d. 8 = (4+8i)(x+yi)

Answers

x+yi = 8/(4+8i)x+yi = 2/(1+2i)x+yi = 2/(1+2i) × (1−2i)/(1−2i)x+yi = (2−4i) /5x+yi = 2/5−4/5i

x= 2/5
y= -4/5i

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