Roger has to place cookies in plastic bags for a bake sale. He has 84 sugar cookies and 66 chocolate chip cookies. He wants to place the same number of cookies in each bag, wants to make sure that only one type of cookie goes into each bag, and wants to put the most cookies he can in each bag. How many cookies should be in each bag

Answers

Answer 1

Answer:

6 cookies

Step-by-step explanation:

Roger wants to place 84 sugar cookies and 66 chocolate chip cookies into plastic bags. Each bag must have the same number of cookies and only one type of cookie must be in each bag.

For the 84 sugar cookies:

number of cookies : 1    2     3      4      6     7      12      14      21     28    42    84

number of bags    : 84   42   28    21    14    12     7        6       4       3      2        1

For the 66 chocolate cookies:

number of cookies : 1       2      3       6      11       22     33      66

number of bags      : 66   33    22     11       6       3        2       1

The maximum common factor between 84 and 66 is 6.

Therefore 6 cookies should be placed in each bag. For sugar cookies, 6 cookies would be placed in each of the 14 bags while for the chocolate cookies, 6 cookies would be placed in each of the 11 bags.


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Step-by-step explanation:

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0.083

Step-by-step explanation:

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Step-by-step explanation:

Use Euler’s formula to write -12 sqrt3 +12i in exponential form

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Should be D on edge. 24e i 5pi/6, Or

649-14-07-00-00_files/i0150005,jpg(image name)

I need an answer to this problem​

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The answer is c
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Which step has the mistake in solving for roots?

2x^2 – 7x – 3 = 1

Step 1: 2x^2 – 7x – 4 = 0

Step 2: x^2 – 7x – 8 = 0

Step 3: (x-8)(x+1) = 0

Step 4: (x-8/4)(x+1/4) = 0

Step 5: (x-2)(4x+1) = 0

Step 6: x – 2 = 0 4x + 1 = 0

Step 7: x = 2 x = -1/4

One of these steps is incorrect. List the step that is incorrect, then finish the problem correctly.

Answers

Answer:

Step-by-step explanation:

2x² - 7x - 3 = 1

Step 1: 2x² - 7x - 4 = 0

Step 2: incorrect.

Use Quadratic Formula to solve for roots.

x = [7 ± √(7² – 4·2(-4))] / [2·2]

 = [7 ± √81] / 4

 = [7 ± 9] /4

 = -0.5, 4

A set of 4 chairs cost $56, or you can buy 1 chair for $16. How much less is the cost of 1 chair if you buy the set?

Answers

So the better deal is the 4 chairs for $56 because you would save 8 dollars.
How much less the chairs would cost is they would be $14 so you would save $2

Given f(x)=(1/2x)-5, find f^-1(x).

Answers

Answer:

[tex]f^{-1}[/tex](x)=2x+10

Step-by-step explanation:

f(x)=[tex]\frac{x}{2}[/tex]-5

Let y= [tex]\frac{x}{2}[/tex]-5

y= [tex]\frac{y}{2}[/tex]-5

x+5= [tex]\frac{y}{2}[/tex]

Both side multiple 2,

2x+10=y

[tex]f^{-1}[/tex](x)=2x+10

Evaluate the iterated integral 2 0 2 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are faced with the task of first evaluating sin(y2) dy. But it's impossible to do so in finite terms since sin(y2) dy is not an elementary function. So we must change the order of integration. This is accomplished by first expressing the given iterated integral as a double integral. Using this equation backward, we have 2 0 2 x sin(y2) dy dx

Answers

Answer:

Step-by-step explanation:

Given that:

[tex]\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\ \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\ where; \\ \\ D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}[/tex]

[tex]\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}[/tex]

[tex]\text{Now, above equation gives room for double integral in reverse order;}[/tex]

[tex]\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy \\ \\= \int^2_0 ( y -0) \ sin (y^2) \ dy \\ \\ = \int^2_0 y \ sin (y^2) \ dy \\ \\ y^2 = U \\ \\ 2y \ dy = du \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du \\ \\ = - \dfrac{1}{2} \Big [cos \ U \Big]^2_o \\ \\ = - \dfrac{1}{2} \Big [cos \ (y^2) \Big]^2_o \\ \\ = - \dfrac{1}{2} cos (4) + \dfrac{1}{2} cos (0) \\ \\[/tex]

[tex]= - \dfrac{1}{2} cos (4) + \dfrac{1}{2} (1) \\ \\ = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\ = \mathbf{0.82682}[/tex]

The frog jumped 7/8 of a foot on the first jump and 2/3 of a foot on the second
jump. How many feet did the frog jump in total?
feet
Pls show mercy!!!!!

Answers

He jumped 1.542 feet
7/8 + 2/3

How many blue cars are there?

Answers

Answer:

45% Of the cars are there

because it says 45% so I am pretty sure that is it

The value of an investment decreased by 10%. The original amount was $75.00. What is the current value of the investment?

Answers

Answer:

82.5 is the right answer

Susan works at the local Department store. She makes a 2% commission on all sales. She sells jewelry worth $20,000. What is her commission

Answers

Answer:

I think it's 2000

Step-by-step explanation:

Alison and Tyrone each bought a slice of pizza in the shape of a right triangle as
shown. What is the area of each slice of pizza? Who has the larger slice?
Alison 5in-W. 6inL
Tyrone 3in L. 8 W
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Answers

Answer:

The area of Alison's pizza would be 30 in.

What's the expanded notation of 5.34

Answers

The expanded notation is 5 + .3 + .04

in a classroom of 1/6 of the students were wearing blue and 2/3 are wearing white there are thirty six students in the class how many students are wearing a shirt other than blue or white

Answers

Answer:

6

Step-by-step explanation:

1/6 of 36=6

2/3 of 36= 24

24+6=30

36-30=6

Circle 1 has a center (−4, 5) and a radius of 6 cm. Circle 2 has (2, −3) and a radius of 9 cm. What transformations can be applied to Circle 1 to prove that the circles are similar? Enter your answers in the blanks. Enter the scale factor as a fraction in the simplest form.

The circles are similar because the transformation rule (___ , ___ ) can be applied to Circle 1 and then dilate it using a scale factor of ___/___

Answers

Answer:

The circles are similar because the transformation rule (+ 5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of ​3/4.

Step-by-step explanation:

All the circles are similar.

That is because you can transform one circle onto another by two similarity operations: translation and dilation (scale factor).

For these two circles you have to translate the center of circle 1 to the center of circle 2, which will make that the two circles are concentric (have the same center).

The two centers are (-6,2) and (-1,- 4). To move the center (-6, 2) to (-1,4) you have to shift it 5 units to the right and 6 units down:

- 6 + 5  = - 1

2 - 6 = - 4.

After this translation, you dilate the circle with smaller radius using a scale factor equal to the ratio of the bigger radius to the smaller radius: 8/6 = 4/3.

Enter the scale factor as a fraction in simplest form. 3/4

The circles are similar because the transformation rule (+5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of ​3/4.

Answer:

The circles are similar because the transformation rule ( [tex]x + 6, y - 8[/tex]) can be applied to Circle 1 and then dilate it using a scale factor of [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

just took the test down. proof down below

What did I forget to do in this question? What should the answer be?
Use only Quadratic Formula

[tex] {7x}^{2} + 9x + 2 = 0[/tex]
[tex] {x}^{2} + 9x + 14 = 0[/tex]
[tex](x + 7)(x + 2) = 0[/tex]
x= -7,x=-2​

Answers

The mistake is in the first step. You seem to want to divide through by 7, but you only did it correctly with the x ² term. What you should have after doing this is

7x ² + 9x + 2 = 0

→   x ² + 9/7 x + 2/7 = 0

This step isn't actually necessary to begin with since the starting quadratic is easily factorized:

7x ² + 9x + 2 = (7x + 2) (x + 1) = 0

Then

7x + 2 = 0   or   x + 1 = 0

7x = -2   or   x = -1

x = -2/7   or   x = -1

Please help!!!!!????

Answers

Answer:

I think it's decameter^^

HELP THIS IS DUE SOON

Answers

There should be 40 pages

Answer:

the book has 40 pages

Step-by-step explanation:

so he has read 90 percent and has 4 pages left. So 10 percent is 4 pages.

10 times 10 is 100. 4 times 10 is 40. The entire book is 40 pages.

10 percent equals 4 pages

20 percent percent 8 pages

30 percent  is 12 pages

40 percent is 16 pages

50 percent is 20 pages

60 percent is 24 pages

70 percent is 28 pages

80 percent is 32 pages

90 percent is 36 pages

100 percent is 40 pages

help me please!!! thank you!!!

Answers

Answer:

254.47 inches squared

Step-by-step explanation:

Area of a circle is

[tex]\pi {r}^{2} [/tex]

so to find the radius we half the diameter( which here is 18 inches) which equals to 9

we replace r to 9 because that's the radius

[tex]\pi \times {9}^{2} [/tex]

which is 254.47 inches squared

Find the perimeter and area of the triangle. Show all work.
31 yd
14 yd
28 yd

Answers

I’m pretty sure it is 73yd

Need answer to this urgently

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Answer:

x=3

Step-by-step explanation:

25+134+4x+9+180

4x+168+180

4x+12

x=3

Marissa launches a toy rocket in her backyard. The path of the rocket is
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time in seconds since the rocket was launched.

Answers

Answer:

maybe u should have paid attention in class buddy

Step-by-step explanation:

L

How many real cube roots does –343 have?

Answers

Answer:

Number (n)

Cubes (n3)

1-1

2-8

3-27

4-64

5-125

6-216

7-343

8-512

9-729

10-1000

Step-by-step explanation:

What is the greatest common factor of 15, 75, and 9

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Factors of each number }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1. 3. \& 9}\\\large\textsf{15: 1, 3, 5, \& 15}\\\large\textsf{75: 1, 3, 5, 15, 25, \75}[/tex]

[tex]\huge\text{Like terms between the factors}\\\\\bullet \large\textsf{1 \& 3}[/tex]

[tex]\huge\text{Reason for the factors of the numbers }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1}\times\large\textsf{9 = \bf{9} }\& \large\textsf{ 3}\times\large\textsf{3 = \bf 9}\\\\\large\textsf{15: 1}\times\large\textsf{15 = \bf 15 }\&\large\textsf{ 3}\times\large\textsf{5 = \bf 15}\\\\\large\textsf{75: 1}\times\large\textsf{ 75 = \bf 75}, \large\textsf{ 3}\times\large\textsf{25 = \bf 75}, \& \large\textsf{ 5}\times\large\textsf{ 15 = \bf 75}[/tex]

[tex]\huge\text{BIGGEST NUMBER OUT OF THE LIKE}\\\huge\text{TERMS }\huge\boxed{\downarrow}\\\\\large\textsf{\bf 3}[/tex]

[tex]\huge\text{ANSWER }\huge\boxed{\downarrow}\\\\\large\boxed{\textsf{The GCF (Greatest Common Factor) is: \huge\boxed{\textsf3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\large\text{Amphitrite1040:)}[/tex]

Pls somebody that knows this answer it please

Answers

Answer:

Im pretty sure it is 48 but it could be 96

Step-by-step explanation:

I just found the area and halved that.

For the first one the answer is 96. I think the answer for the second one is B and for the third question the answer is c. Hope this helps!

Write a quadratic function that reflects the x axis, stretches by a factor of 5, and shifts left 6 and up 3

Answers

Answer:

y=(x+6)^5+3

Step-by-step explanation:

determine the intercepts of the line
x-intercept _,_
y- intercept _,_
HELP ASAP

Answers

x-intercept: (7,0)
y-intercept: (0,2)

Find the area of the shaded region

Answers

Answer:

Don't worry I will help to solve this problem OK.Sorry I don't understand please ask with other OK .

Step-by-step explanation:

base = 40

height = 16

Area of parallelogram = b×h = 40× 16= 640

Answer:

the area of the shaded area is 160 cm ²

Step-by-step explanation:

Hey There!

so the first step in solving this problem is to find the area of the whole shape

This is a trapezoid and the formula for area of a trapezoid is

[tex]A=\frac{a=b}{2} h[/tex]

a = base 1 (20)

b = base 2  (40)

h = height (16)

now we plug in the values

[tex]A=\frac{40+20}{2} 16\\40+20=60\\\frac{60}{2} =30\\30*16=480[/tex]

so the area of the trapezoid is 480

The next step is to find the area of the triangle

To do so we use this formula

[tex]A=\frac{hb}{2}[/tex]

h = height (16)

b = base (20)

now we just plug in the values

[tex]A=\frac{16*20}{2} \\16*20=320\\\frac{320}{2}=160\\[/tex]

The area of the triangle is 160

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