Answer:
Commutative property: states that the order in which we multiply numbers does not change the product.
Associative property: states that you can add or multiply regardless of how the numbers are grouped (aka parenthesis).
Rui Feng wants to paint the exterior surface of 12 closed cylinders which have base radius 14 cm and height 40 cm. Find total surface area of cylinders that he has to be painted.
9514 1404 393
Answer:
57,001 cm², or 5.7 square meters
Step-by-step explanation:
The surface area of a cylinder is given by the formula ...
A = 2πr(r +h)
A = 2π(14 cm)(14 cm +40 cm) = 1512π cm²
Then 12 cylinders will have an area of ...
12 × 1512π cm² = 18,144π cm² ≈ 57,001 cm²
Rui Feng wants to paint a total surface area of 57,001 cm², about 5.7 square meters.
The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x?
Answer:
B. $0.88
Step-by-step explanation:
x = number of bananas
y = cost of bananas in dollars
Given that 4 bananas cost $3.52, the constant of proportionality that relates cost of bananas, y, to the number of pounds of bananas, x = y/x
y = 3.52
x = 4
Therefore:
Constant of proportionality = [tex] \frac{3.52}{4} = 0.88 [/tex].
Sabrina is x years old.
Meghan is twice as old as Sabrina.
Michael is three years younger than Meghan.
The product of Sabrina's and Michael's age is 35.
How old is Meghan?
Answer:
10
Step-by-step explanation:
If Sabrina is 5 & Michael is 7. (5×7=35)
Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).
Answer:
Meghan is 10 years old
Step-by-step explanation:
We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.
We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:
m = 2x
Michael (M) is 3 years younger than Meghan. So we write:
M = m - 3
The product (multiplication) of Sabrina's and Michael's age is 35. So we write:
Mx = 35
To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.
M = 2x - 3
Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:
x(2x - 3) = 35
2x² - 3x = 35
2x² - 3x -35 = 0
(2x - 7)(x - 5) = 0
x = ⁷⁄₂ or 5
we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:
m = 2(5)
m = 10
A 14-ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink?
Answer:
0.75 or 3/4
Step-by-step explanation:
10 1/2 teaspoons of sugar ÷ 14 oz energy drink = ?
10.5 teaspoons of sugar ÷ 14 oz energy drink = 0.75 teaspoons of sugar per drink
OR (fraction way):
10 1/2 ÷ 14 = ?
First, Convert any mixed numbers to fractions. Then your initial equation becomes:
21/2 ÷ 14/1 = ?
Apply the fractions formula for division (just flip the second fraction and multiply):
21/2 x 1/14 = 21/28 = 3/4 = 0.75
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
Even Odd or Neither.
The sum of two numbers is 36. The larger number is 14 more than the smaller number. What are the numbers?
Answer:
25 and 11
Step-by-step explanation:
because subtract 14 from 36 it will give u 11 so 11 is your smaller number and 25 is your bigger
Hope this helps :)
Answer:
The numbers are 11 and 25.
Step-by-step explanation:
Assign x to the the numbers.
One of the numbers is 14 more than the other.
x + (x+14) = 36
Smaller number = x
Bigger number = x +14
2x + 14 = 36
2x = 22
x = 11 = smaller number
x = 11 + 14 = 25 = bigger number
Find the coordinates for the verticals of each figure after the given transformation need help ASAP
Answer:
Question 7: The new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question 8: The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
Step-by-step explanation:
Question No 7:
Translation Rule: (x,y) =>
U(-5,1), V(-4,3), W(-3,3), X(-4, 1)
In order to get the new coordinates, we have to add 6 to x-coordinate of vertices subtract 3 from y-coordinates of all vertices. So,
[tex]U(-5,1) => (x+6,y-3) => (-5+6, 1-3) => U'(1,-2)\\V(-4,3) => (x+6,y-3) => (-4+6, 3-3) => V'(2,0)\\W(-3,3) => (x+6,y-3) => (-3+6, 3-3) => W'(3,0)\\X(-4,1) => (x+6,y-3) => (-4+6, 1-3) => X'(2,-2)[/tex]
Hence, the new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question No 8:
W(-3,-2), X(-2,2), Y(2,0), Z(1,-3)
Translation Rule: (x+2,y+2)
In order to get the new coordinates, we have to add 2 to x-coordinate of vertices and add 2 to y-coordinates of all vertices. So,
[tex]W(-3,-2) => (x+2,y+2) => (-3+2, -2+2) => W'(-1,0)\\X(-2,2) => (x+2,y+2) => (-2+2, 2+2) => X'(0,4)\\Y(2,0) => (x+2,y+2) => (2+2, 0+2) => Y'(4,2)\\Z(1,-3) => (x+2,y+2) => (1+2, -3+2) => Z'(3,-1)[/tex]
Hence The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
i need this asap!!!! please! will give brainliest and a thanks to fast answers!
Answer:
2 big
30 small
Step-by-step explanation:
possibility
plz help i will give brainliest
Answer
b
Step-by-step explanation:
yeah
Answer:
ok go on a site called math.way it will really help you
Step-by-step explanation:
All of the ingredients are purchased in bulk sizes. The butter comes in 12-cup containers. How many recipes will each container of butter be able to make?
Answer:
some information is missing, so I looked for similar questions and found the attached image:
since each recipe requires ¹/₂ cup of butter, you are able to make 12 ÷ ¹/₂ = 24 recipes with one container of butter (assuming you have all the other ingredients).
One-half, ¹/₂, is a fraction that can also be written in decimal form as 0.5. Two times ¹/₂ is equal to 1, and similarly, twenty four times ¹/₂ is equal to 12.
2.4 *10^2
5.25*10^2
2.53*10^1
1.8*10^3
Order from least to greatest
The point A(-5,6) is reflected over the origin and its image is point B.
What are the coordinates of point B?
Answer:
Answer:
(6,-7)
Step-by-step explanation:
The equation for reflecting an image about the origin is (a,b) to (-a,-b). It means you make x and y their opposites.
Step-by-step explanation:
ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer: is 1/2
Step-by-step explanation:
Increase 110 by 60%
Answer:
176
Step-by-step explanation:
Claire is painting some doors that are all the same size. She used 2 liters of paint to cobe 1 3/5 doors. How many liters of paint are needed for 1 door.?
Answer:
[tex]1 \dfrac{1}{4} \ liters[/tex]
Step-by-step explanation:
Given that:
Claire uses 2 liters of paint to cover 1 3/5 doors
Then in order for her to paint 1 door, She will need:
2 L = 1 3/5 door
x L = 1 door
[tex]x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}[/tex]
[tex]x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }[/tex]
[tex]x (L) = \dfrac{2 L }{ \dfrac{8}{5} }[/tex]
[tex]x (L) = \dfrac{2 L\times 5 }{ 8 }[/tex]
[tex]x (L) = \dfrac{10 \ L }{ 8 }[/tex]
[tex]x(L) =1 \dfrac{1}{4} \ L[/tex]
Can anyone answer part B?
Answer:
(-3, 0) and (-1, 0)
Step-by-step explanation:
roots of the eqn = the x-intercepts (if any)
Topic: Quadratic Graphs.
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
37x - Ꮞx^3 + 22x^4 + 11
Standard form
Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit was NOT eaten? SHOW YOUR WORK
WILL GIVE BRAINLIST,EXTRA POINTS, AND 5 STARS
Answer:20
Step-by-step explanation:
Because it's not relevant
What happened in the legend of the Secret Pueblo gold mine?
a.
An Native American boy led the priests to a secret mine.
b.
A captured boy learned there was a mine that contained a vein of pure gold.
c.
Pueblo elders offered $10,000 to anyone who would find the location of the mine.
d.
Coronado spent his life trying to find a legendary mine.
Answer:
The answer is B: A captured boy learned there was a mine that contained a vein of pure gold.
Step-by-step explanation:
Took the test.
Answer:
The answer is B
Step-by-step explanation:
A captured boy learned there was a mine that contained a vein of pure gold.
what is the 3rd equivalent fraction to 2/3
Answer:
What do you mean by third equivilent fraction? One equivalent fraction is 4/6.
Step-by-step explanation:
Given: Angle 1 and Angle 2 are complementary, and Angle 2 and Angle 3 are complementary. Prove: Angle 1 = Angle 3 Statements: Reasons 1. Angle 1 and angle 2 are complementary. 1. Given Angle 2 and angle 3 are complementary. 2. M angle 1 + m angle 2= 90 degrees 2. Definition of complementary m angle 2 + m angle 3= 90 degrees 3. ? 3. ? 4.? 4.? 5.? 5.? 6.? 6.?
Answer:
See Explanation
Step-by-step explanation:
[tex] \because \angle 1 [/tex] and [tex] \angle 2 [/tex] are complementary.
[tex] \therefore m\angle 1+m\angle 2=90\degree... (1)[/tex]
[tex] \because \angle 2 [/tex] and [tex] \angle 3 [/tex] are complementary.
[tex] \therefore m\angle 2+m\angle 3=90\degree... (2)[/tex]
From equations (1) & (2), we find:
[tex] m\angle 1+m\angle 2=m\angle 2+m\angle 3
[/tex]
[tex] m\angle 1+m\angle 2-m\angle 2=m\angle 3
[/tex]
[tex] m\angle 1=m\angle 3[/tex]
Thus proved.
what is the slope of (4,9)
Answer:
hope it helps..
Step-by-step explanation:
Using the slope-intercept form, the slope is 0 .
F(x)=-∣x∣2-3
Shift this equation 1 unit to the right.
Will give brainliest to best answer! TYSM!<3
Answer:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
Step-by-step explanation:
Write the equation for f(x)=IxI but vertically stretch it by a factor of 2, flip it over the x axis, shift it down 3 units, shift it 1 unit to the right
We have the (parent absolute value) function:
[tex]f(x)=|x|[/tex]
And we want to write a new function which represents the previous function: 1) Vertically stretched by a factor of 2, 2) flipped over the x-axis, 3) shifted down 3 units, and 4) shifted 1 unit to the right.
1)
To vertically stretch/compress a function, we multiply the function by a constant a.
If a is greater than 1, it is a vertical stretch. If a is less than 1 (and greater than 0), it is a vertical compression.We want to vertically stretch our function by 2. So, we will multiply our function by 2. Therefore:
[tex]f^\prime(x)=2|x|[/tex]
2)
We want to flip the function over the x-axis.
To flip a function over either axis:
Multiply by negative 1 to flip the function over the x-axis.Substitute x for -x to flip the function over the y-axis.Since we want to flip our function over the x-axis, we will multiply it by -1. So:
[tex]f^\prime(x)=-2|x|[/tex]
3)
We want to shift our function down by 3 units.
To shift a function vertically, we simply add the vertical shift to our function.
Since we are shifting downwards by 3 units, we will add -3 to our function. So:
[tex]f^\prime(x)=-2|x|-3[/tex]
4)
Finally, we want to shift our function 1 unit to the right.
To shift a function horizontally, we replace the x with (x-n), where n is the horizontal shift.
Since we are shifting our function to the right, n=1. Therefore, we will replace x with (x-1). So, our function becomes:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
And we have our final function.
Note: In general, try doing the vertical/horizontal stretches first, x/y-axis reflections second, and then vertical/horizontal shifts last to avoid mistakes.
A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds. Which expression represents this situation?
Answer
i believe the answer is 16(-8)
Step-by-step explanation:
if you multiply how many inches the turtle goes DOWN which would be -8, and you multiply it by the 16 seconds you would get -128 because of the rules of multiplying integers.
Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
Answer:
Step-by-step explanation:
x^2+20=2x move 2x to the left
x^2-2x+20=0
Quadratic formula =
x=1± i√19
Answer:
It is D on ed2020
1+-[tex]\sqrt 19 i[/tex]
Step-by-step explanation:
Nathan is opening a savings account that has 10% streaks simple interest rate. He deposits $75 in the account. After 5 years, he will have $112.50 in his account. How many more dollars would Nathan earn after 5 years with a 10% compounded internet rate?
Answer:
brah
Step-by-step explanation:
A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.
21 points bruh and also sub to RahimZ
Geometry 2. Congruent triangles
Answer:
pq =28
Step-by-step explanation:
you set up the equation by making them equal each other 3x+4= 5x-12 and solve From there
What is the solution of 6d + 6 - 4d = 12 ?
What is the least common multiple of 17, 20, and 12?
the least common multiple is 1,020 :)
Answer:
Attached above is the answer