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.
Simplify
|x+3| if x > 5
Answer:
rrir
Step-by-step explanation:
e8
Please help! It’s due soon!
Answer:
0.083
Step-by-step explanation:
151 divided by 1800 is 0.083
might be wrong WARNING
Please help ...........
Answer:
B
Step-by-step explanation:
Use Euler’s formula to write -12 sqrt3 +12i in exponential form
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
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.
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?
Given f(x)=(1/2x)-5, find f^-1(x).
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
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!!!!!
How many blue cars are there?
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?
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
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
Alison's slice of pizza has an area of in.
Answer:
The area of Alison's pizza would be 30 in.
What's the expanded notation of 5.34
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
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 ___/___
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
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!!!!!????
Answer:
I think it's decameter^^
HELP THIS IS DUE SOON
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!!!
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
Need answer to this urgently
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
modeled by the equation h = 18t - 3t, where h is the height in feet, and t is the
time in seconds since the rocket was launched.
Answer:
maybe u should have paid attention in class buddy
Step-by-step explanation:
L
How many real cube roots does –343 have?
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
[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
Answer:
Im pretty sure it is 48 but it could be 96
Step-by-step explanation:
I just found the area and halved that.
Write a quadratic function that reflects the x axis, stretches by a factor of 5, and shifts left 6 and up 3
Answer:
y=(x+6)^5+3
Step-by-step explanation:
determine the intercepts of the line
x-intercept _,_
y- intercept _,_
HELP ASAP
Find the area of the shaded region
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