Answer: 33c12
Step-by-step explanation:
Answer: 27c^12
(9c^6)(3c^6) = 27c^12
Step-by-step explanation:
At their family's pizzeria, Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that. Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. If the pizzeria is open for 6 hours, how many pizzas will they make in all?
Answer:
47 pizzas
Step-by-step explanation:
Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.
If the number of hours after the first hour is represented as x, then the number of pizzas he makes after x hours is:
6 + 3x
Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:
11 + 3x
The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.
This means that:
x = 5
The total amount of pizzas that Dave and Lauren make is:
6 + 3x + 11 + 3x
=> 17 + 6x
Therefore, the total amount of pizza they make 5 hours after the first hour is:
17 + 6(5) = 17 + 30 = 47 pizzas
What is the product? 2y/y-13 * 4y-12/2y+6
Answer:
[tex]=\frac{4y}{y+3}[/tex]
Step-by-step explanation:
[tex]\frac{2y}{y-3}\cdot \frac{4y-12}{2y+6}\\\frac{4y-12}{2y+6}=\frac{2\left(y-3\right)}{y+3}\\\frac{4y-12}{2y+6}\\\mathrm{Factor}\:4y-12:\quad 4\left(y-3\right)\\4y-12\\\mathrm{Rewrite\:as}\\=4y-4\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}4\\=4\left(y-3\right)\\=\frac{4\left(y-3\right)}{2y+6}\\\mathrm{Factor}\:2y+6:\quad 2\left(y+3\right)\\2y+6\\\mathrm{Rewrite\:as}\\=2y+2\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}2\\=2\left(y+3\right)\\=\frac{4\left(y-3\right)}{2\left(y+3\right)}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{2}=2\\=\frac{2\left(y-3\right)}{\left(y+3\right)}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{2\left(y-3\right)}{y+3}\\=\frac{2y}{y-3}\cdot \frac{2\left(y-3\right)}{y+3}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{2y\cdot \:2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:y-3\\=\frac{2y\cdot \:2}{y+3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4\\=\frac{4y}{y+3}[/tex]
Answer:
12/6
Step-by-step explanation:
Math lovers i need your help
Part (i)
Compute the slope of the line through the two points (0,0) and (4,8)
m = (y2 - y1)/(x2 - x1)
m = (8-0)/(4-0)
m = 8/4
m = 2
The slope of this line is 2, so,
velocity = 2 m/s==============================================
Part (ii)
The two points we're working with are (4,8) and (6,8). The slope is...
m = (y2 - y1)/(x2 - x1)
m = (8-8)/(6-4)
m = 0/2
m = 0
Horizontal lines always have a slope of 0 to indicate no change in height.
The velocity is 0 m/s.==============================================
Part (iii)
Same idea as the previous parts. The endpoints are (6,8) and (9,14)
m = (y2 - y1)/(x2 - x1)
m = (14-8)/(9-6)
m = 6/3
m = 2
This piece also has slope 2. This piece is parallel to the first piece. Parallel lines have equal slopes but different y intercepts.
velocity = 2 m/s==============================================
Part (iv)
(a) The average velocity from 0 to 4 seconds is the exact same as the velocity we computed earlier in part (i). The answer is 2 m/s(b) We travel 8 meters in 6 seconds, so the average velocity is 8/6 = 4/3 = 1.33 m/s approximately. You can use the slope formula for the endpoints (0,0) and (6,8) to get the same result.(c) The average velocity is 14/9 = 1.56 m/s approximately because we travel 14 meters in 9 seconds. You can use the slope formula for the endpoints (0,0) and (9,14).As you can see, with average velocity, all we care about are the starting and ending points. We aren't concerned at all with what happens in between.
Comparing the results for part (i) and part (iv)(b), we see that the velocity has gone down. This is due to the flat portion in which you aren't moving.
Grayson is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $130. Grayson will be earning a base salary of $58 per month from the gym, plus an additional $12 for every class he teaches. If Grayson teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How much will Grayson's expenses and earnings be? How many classes will that take?
Answer:
If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.
Step-by-step explanation:
If you want to buy an item in a store that cost $43 and is on sale for 40% off, then how much would the item actually cost you after the discount ? round to the nearest cent
Answer:
$25.80
Step-by-step explanation:
40% = 40/ 100 = 4/10 = 0,4
There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!
So you need to subtract the 40%, so (1 - 0.4 =) 0.6
The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).
The amount the item actually cost after the discount is $25.80
For all real numbers b and c such that the product of
c and 3 is b, which of the following expressions repre-
sents the sum of c and 3 in terms of b ?
B. 3h + 3
C. 3(b + 3)
3
E. -
3
Answer:
E: b/3+3
Step by step:
3 C= b
C + 3 = b/3 + 3 (Adding 3 to both sides)
Answer: E: b/3 + 3
Hope this helps
the ratio of boys to girls in a class is 7:5 there are36
students in the class how many students are girls
Answer:
There are 15 girls
Step-by-step explanation:
Look at the picture
I need help with this asap please!!!
Answer:
54
Step-by-step explanation:
54x
A line has a slope of 5 and passes through (4,2). Write an equation to represent this.
A) y=18x-5
B) y=3x-15
C) y=5x-18
D) y=5 +2x
Answer:
C
Step-by-step explanation:
You are exploring a career in nursing in the state of MA. The average hourly wage for RN is $33.37. You are planning to work 40 regular hours +8 hours overtime at time and a half every week. What were your weekly earnings be?
Answer:
$1,735.24
Step-by-step explanation:
"at time and a half" basically means 1.5
So, the overtime would be 1.5 times the normal hourly wage.
40 regular hours * $33.37 = $1334.8
8 overtime hours * (1.5 * $33.37) = $400.44
$1334.8 + $400.44 = $1735.24
So, the total weekly pay is $1735.24.
a ferris wheel rotates 9pi/8 radians prior to making a stop the total height of the ferris wheel is 246 ft how far around did the ferris wheel travel round to the nearest whole foot
Answer:
ferris wheel travel approx = 434.72 ft
Step-by-step explanation:
given data
wheel rotates = 9pi/8 radians
total height of the ferris wheel = 246 ft
solution
we can say here that height of the ferris wheel is same as the diameter of the wheel
and wheel is circular in shape
so we get here first radius of wheel that is
radius = half of diameter ..........................1
put here value and we get
radius = 0.5 × 246
radius = 123 ft
and
wheel travel distance = length of arc by a angle of wheel rotates
so here length of arc will be
arc length = radius × wheel rotates angle .....................2
put here value and we get
arc length = 123 × [tex]\frac{9\pi }{8}[/tex]
arc length = 434.7178 ft
so ferris wheel travel approx = 434.72 ft
1/16 x 6 then round to 2 decimal places.
Answer:
.38
Step-by-step explanation:
1/16 * 6 = 6/16
Divide the top and bottom by 2
3/8
.375
Round to 2 decimal places
.38
Find the zeros of the function. Write the smaller solution first, and the larger solution second f(x)=(x+2)2-16 smaller x larger x
Answer:
The solutions are x = -6 or x = +2
Step-by-step explanation:
In this question, we are asked to get the series of the equation given. we can find this by equating what we have to zero
Mathematically, we proceed as follows;
(x +2)^2 -16 = 0
This can be rewritten as;
(x + 2)^2 - 4^2 = 0
we can then proceed to use the difference of two squares to finish this off
Thus, we have
(x + 2 + 4)(x + 2 - 4) = 0
(x + 6)(x-2) = 0
X + 6 = 0 or x-2 = 0
x = -6 or x = +2
Fred's birthday party will be in a room at the community center. The room can hold 75 people. He wants to use tables that seat 5 people each. Which inequality can be used to find the maximum number of tables, t, that Fred can use?
Answer:
75>5t
Step-by-step explanation:
Here is the information given:
75 is the maximum
5 per table
t is table
So, 75 is greater than or equal to the number of tables.
If 5 is the max seated at a table we know that it will be 5 people per table or 5t
Which gives us 75>5t
Furthermore, when solving we get t=15, when plugging this in the inequality becomes 75>75 which is true.
Hope this helps!
A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statement is true?
Answer:
Step-by-step explanation:
Which statements are true? Check all that apply.
The total possible outcomes can be found using 52C5.
The total possible outcomes can be found using 52P5.
The probability of choosing two diamonds and three hearts is 0.089.
The probability of choosing five spades is roughly 0.05
The probability of choosing five clubs is roughly 0.0005.
Since it can be chosen in any order, we use combination and not permutation. The number of ways of choosing 5 cards from a group of 52 cards is 52C5.
The probability of choosing two diamonds and three hearts = [tex]\frac{^{13}C_2*^{13}C_3}{^{52}C_5} = 0.0086[/tex] so the third one is not true.
The probability of choosing five spades = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005. The fourth statement is not true
The probability of choosing five clubs = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005, the fifth one is.
So the answer is the first and fifth statement.
The probability of selecting a combination of cards is given by the ratio of
the ways of selecting the cards to the number of possible outcomes.
The true statements are;
The total number possible outcomes is ₅₂C₅.The probability of choosing five clubs is roughly 0.0005.Reasons:
First statement;
Number of cards in the deck of playing cards = 52
The number of possible outcome is given by the combinations of 5 that can be chosen from 52, as follows;
[tex]\displaystyle The \ \mathbf{number} \ of \ \mathbf{possible \ outcomes}} = _{52}C_5 = \frac{52!}{5! \cdot (52 - 5)!} = 2598960[/tex]
Therefore;
The statement; the total number possible outcomes is ₅₂C₅ is trueThird statement;
The number of ways of choosing two diamonds is found as follows;
[tex]\displaystyle Choosing \ two \ diamonds = _{13}C_2 = \mathbf{\frac{13!}{2! \cdot (13 - 2)!}} = 78[/tex]
The number of ways of choosing three hearts is found as follows;
[tex]\displaystyle Choosing \ three \ hearts = _{13}C_3 = \frac{13!}{3! \cdot (13 - 3)!} = 286[/tex]
The number of ways of choosing two diamonds and three hearts is found as follows;
[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \frac{_{13}C_2 \times _{13}C_3}{_{52}C_5} = 0.00858[/tex]
Therefore, the number of ways of choosing two diamonds and three hearts ≠ 0.089
[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \mathbf{\frac{_{13}C_2 \times _{13}C_3}{_{52}C_5}} \neq 0.089[/tex]
Fourth statement;
[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]
Therefore;
[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \mathbf{\frac{_{13}C_5 }{_{52}C_5}} \neq 0.05[/tex]
Fifth statement;
[tex]\displaystyle Probability \ of \ choosing \ five \ clubs= \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]
Therefore;
The statement, the probability of choosing five clubs is roughly 0.0005 is true.The possible question options in the question are;
The total possible outcomes is given by ₅₂C₅
The total possible outcomes is given by ₅₂P₅
Probability of choosing 3 hearts and 2 diamonds is 0.089
The likelihood of choosing 5 spades is approximately 0.05
The likelihood of choosing 5 clubs is approximately 0.0005
Learn more about combinations and probability here:
https://brainly.com/question/25718474
Solve for h.
–2 − 10h = –11h − 20
｡☆✼★ ━━━━━━━━━━━━━━ ☾
-2 - 10h = -11h - 20
+ 2
- 10h = -11h - 18
+ 11h
h = -18
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Step-by-step explanation:
-2-10h=-11-20, take -10 to the other side.
-2= -1-20, take 20 to the other side.
-18=-1h
-ve and -ve is pos.
h=18
positive 18
Fiona found 47 pens for $3.00 . Please help Fiona by figuring out the ratio. (round to 2 decimal places)
Answer:
0.06
Step-by-step explanation:
3/47
Answer
$15.67
trust me I think this is it with the info I have got.
info=information true fact
explain how you found the equation that represents aunt andreas decorating plans from the table
Answer:
Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.!!!!!!!!!
licze jako najlepsza odpoiedz!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answer:
Sample Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.
Step-by-step explanation:
always sometimes or never
The Capacity of a container will ALWAYS be less than the containers Volume
Explain too
Answer:
sometimes
Step-by-step explanation:
cant explain because i dont know if im right
Lamar has been given a list of 6 bands and asked to place a vote. His vote must have the names of his favorite and second favorite bands from the list. How many different votes are possible?
Answer:
30
He has 6 options for 1st place and 5 for second place. Multiply the two and you get 30
Hope this helps :)
can Julie win if she reads 8 books
Answer:
Yes, she can.
Step-by-step explanation:
12 < 5+8
Answer:
Step-by-step explanation:
No, she can't
Julie can't win because she has to read more than Emad so she has to read 13 books but she reads 8 books so she can't win
I hope it'll help you much
Thank you for asking
What is the length of the altitude of the equilateral triangle below?
Answer:
D 5sqrt(3)
Step-by-step explanation:
We can use the Pythagorean theorem to solve since the altitude is perpendicular to the base
a^2+b^2 = c^2
5^2 + a^2 = 10^2
25+a^2 = 100
a^2 =100-25
a^2 = 75
Taking the square root of each side
a = sqrt(75)
a = sqrt(25)sqrt(3)
a = 5sqrt(3)
Answer:
Step-by-step explanation:
D
Area of triangles and trapezoids
Answer:
bh/2 and (top base+bottom base)/2
Step-by-step explanation:
first one for triangles and second one for trapezoids
I hope i'm right
Aston left his house and ran 4 miles East and then 3 miles north. He then took the diagonal path back home. If he burned 105 calories every mile that he ran, how many total calories did burn on his run
Answer:
he do be running tho
Answer:
He burned a total of 735 calories.
Step-by-step explanation:
4 miles + 3 miles = 7 miles
105 calories/1 mile = 7 miles/ ? calories
105 calories times 7= 735 calories
Only do question 8
50 points
Topic: Percentage
Answer:
see below
Step-by-step explanation:
Answer:
...
Step-by-step explanation:
the graph shows the function f(x)=2^x what is the value of x when f(x)=4
Answer:
2
Step-by-step explanation:
A rectangular prism has a length of 4.5 cm, a width of
10 cm, and a height of 2.5 cm. What is the volume of
the prism?
11.25 cm
17 cm
112.5 cm3
1,125 cm3
2.5 cm
10 cm
4.5 cm
Answer:112.5
Step-by-step explanation: multiply then all together length then width them height
Answer:
112.5
Step-by-step explanation:
i did the assignment
Correct answer only please!
To the nearest cent, how much will she have in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Work Shown:
B = p*(1+r)^t
B = 4530*(1+0.11)^5
B = 7,633.313442603 approximately
B = 7633.31 round to the nearest cent
what is the change of base formula
This is the formula you are looking for Logb x = Loga x/Loga b
To solve for 10t = -30 + 5t, first subtract ?
from both sides.
Answer:
-6
Step-by-step explanation:
10t = -30 + 5t, Inverse operations
'5t -5t. Subtract 5t from both sides
5t = -30. Divide by 5 both sides
/5. /5
t = -6