Answer:
$27.2
Step-by-step explanation:
A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars.
This is explained in the calculation below
= A cake that costs $32 is on sale for 15% off
The amount off the cake is calculated as
= 15% of $32
= 15/100 × 32
= $4.8
The amount he is paying for the cake =>$32 - $4.8
= $27.2
The above expression is obtained as
(0.85).32
= (100% - 15%) × 32
=( 1 - 0.15) × 32
= 0.85 × 32
= $27.2
The final price of the cake = $27.2
In NTUV, the measure of N=90) UV = 8.7 feet, and VT = 3.6 feet. Find the measure of to the nearest degree.
Answer:
5
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Which expression does the model represent?
0
1
1
8
2
8
3
8
4
8
5
8
7
8
colos
try, check, and revise or write an equation to solve
concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery. For a function, 400 seats were sold for a total of $ 2,888. How many seats of each type were sold?
Answer:
156 seats were sold at the store and 244 at the gallery
Step-by-step explanation:
Let the amount of stalls be x
Let the price per ticket for gallery be y
If 400 seats were sold in total, then;
x+y = 400 ... 1
If concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery with a total of $2888, then;
8x + 6y = 2888 ....2
Solve both equation simultaneously
x+y = 400 ... 1 * 8
8x + 6y = 2888 ....2 .*1
__________
8x+8y = 3200 .
8x + 6y = 2888
Subtract
__________
8y - 6y = 3200 - 2888
2y = 312
y = 312/2
y = 156
Since x = 400 - x
y = 400 - 156
y = 244
hence 156 seats were sold at the store and 244 at the gallery
Emilio made 51 potholders. Each potholder cost him $2.80 to make. If he sells each potholder for $3.26, how much profit will he make =)
Answer:
Your answer will be $166.26
Step-by-step explanation:
i found this out because i multiplied 51 times 3.26
last year megan had 63 books in her collection now she has 112 books what is the percentage increase
Answer:
56.25%
Step-by-step explanation:
Divide
63/112 = .5625
Convert to a percentage
56.25%
The two trapezoids are congruent. What is the value of x?
Answer:
x=15
Step-by-step explanation:
The area of a rectangular sheet of metal is 135 square inches. The perimeter is 48 inches. What are the dimensions of the sheet?
Answer: The length is 15 inches and breadth is 9 inches
Step-by-step explanation:
Given : Area of rectangular sheet = 135 square inches
Perimeter of rectangular sheet = 48 square inches
Now Area of rectangular sheet = [tex]Length\times Breadth[/tex] = 135 square inches
perimeter of rectangular sheet = [tex]2\times (Length+Breadth)[/tex] = 48 square inches
Thus [tex](Length+Breadth)[/tex] = 24 square inches
Thus Length = 15 inches
Breadth = 9 inches
Manipulate the radius and height of the cone, setting different values for each. Record the radius, height, and exact volume of the cone in terms
of m). The first one has been done for you. Also calculate the decimal value of the volume, and verify that it matches the volume displayed by the
tool (You might see some discrepancies in the tool due to rounding of decimals.)
Answer:
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= 2000π unit³
Volume= 6284 unit³
Step-by-step explanation:
The decimal value of the volume already given= 600π
The decimal value of the volume already given= 600*3.142
The decimal value of the volume already given= 1885.2 unit³
For radius 11 unit height 12 unit
Volume= πr²h/3
Volume= 11²*12/3 *π
Volume= 484π unit³
Volume= 1520.73 unit ³
For radius 4 unit height 6 unit
Volume = πr²h/3
Volume= 4²*6/3(π)
Volume= 32π unit³
Volume= 100.544 unit³
For radius 20 unit height 15 unit
Volume= πr²h/3
Volume= 20²*15/3(π)
Volume= 2000π unit³
Volume= 6284 unit³
Hope this helps, best of look to all who needed help!!
PLEASE HELP ME I LITERALLY HAVE NO IDEA HOW TO DO THIS!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
First, find the total volume of the shape by multiplying all side lengths:
1 * 2 * (3/2) = 3 cubic cm
A cube with side length of 1/2 has a volume of (1/2)(1/2)(1/2) = 1/8 cubic cm
If the total volume is 3 cubic cm, how many 1/8 cm cubes would fit?
3 / (1/8) = 24 cubes
Which table represents a quadratic function?
Answer:
Step-by-step explanation:
the bottom one forms a straight line.. so not that one
but the top one looks more like a cubic function .. maybe it could be a quadratic.
BRAINLIEST! HELP! Please help me! I NEED PART D AND E! I’m so lost :(
If you can show your work so I understand that would be awesome! Thanks so much!!
Part A-The pyramids have always fascinated Kristina, so she wants to build to model pyramids to put on her mantle. She wants her model of Khufu’s pyramid to have a volume of 73.5 inches and a height of 4.5 inches. What would the side length of the base of the pyramid be is this a rational or irrational? Why?
Part B- The volume of Khafre’s pyramid is about 9/10 the volume of Khufu‘s pyramid. If Kristina wants to make the second model pyramid so it’s volume is 9/10 of the volume of the first model pyramid, what volume should she make the second model pyramid?
Part C- if the height is 4.41 inches and the volume is the volume found in Part B, what will the side length of the pyramids base be? Is the number rational or irrational? Why?
Part D- for the model to be scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu‘s pyramid to scale? If not, is it close?
Part E- Is the model of Khafre’s pyramid to scale? If not, is it close?
Part A
Given:
Volume of square pyramid = 73.5 cubic inches
height of square pyramid = 4.5 inches
To find:
1)Side length of square pyramid.
2)if side length of square pyramid is rational or irrational
Steps:
1) Side length = [tex]\sqrt{\frac{3v}{h} }[/tex]
Side length = [tex]\sqrt{\frac{3*73.5}{4.5} }[/tex]
Side length = [tex]\sqrt{\frac{3*73.5*10}{4.5*10} }[/tex] (multiplying both sides to make it a whole number)
Side length = [tex]\sqrt{\frac{3*735}{45} }[/tex]
Side length = [tex]\sqrt{\frac{735}{15} }[/tex] (3 gets canceled out)
Side length = [tex]\sqrt{49}[/tex]
Side length = 7 inches
Therefore, the side length of the square pyramid is 7 inches long
2) 7 is a rational number, so the side length of the square pyramid is a rational number.
It is a rational number because,
it can be written in the form p/q, where
1) q [tex]\neq[/tex]0
2) p and q are co-prime
3) p and q are integers
Part B
Given:
Volume of Khafre's pyramid = 9/10 of Khufu's pyramid's volume
Volume of Kristina's first pyramid = 73.5 cubic inches
To find:
Volume of Kristina's second pyramid
Steps:
Volume of Kristina's second pyramid = 9/10 the volume of Kristina first pyramid
Volume of second pyramid = [tex]\frac{9}{10}*73.5[/tex]
Volume of second pyramid = 9 [tex]*[/tex] 7.35
Volume of second pyramid = 66.15 cubic inches
The volume of the second pyramid should be 66.15 cubic inches
Part C
Given:
Height of pyramid = 4.41 inches
Volume of pyramid = 66.15 cubic inches
To find:
1) Side length of pyramid
2) if the side length is rational or irrational
Steps:
1) Side length = [tex]\sqrt{\frac{3v}{h} }[/tex]
Side length = [tex]\sqrt{\frac{3*66.15}{4.41} }[/tex]
Side length = [tex]\sqrt{\frac{3*66.15*100}{4.41*100} }[/tex] (multiplying both sides to make it a whole number)
Side length = [tex]\sqrt{\frac{3*6615}{441} }[/tex]
Side length = [tex]\sqrt{\frac{6615}{147} }[/tex] (3 gets canceled)
Side length = [tex]\sqrt{45}[/tex]
Side length of pyramid is [tex]\sqrt{45}[/tex] inches
2) [tex]\sqrt{45}[/tex] cant be written in the form of a fraction, so it is an irrational number
(if u want i can explain this more)
Part D
Given
Height of model pyramid = 4.5 inches
Height of Khufu's pyramid = 755.75 feet (had to search the internet for the answer, so I am not sure if it is correct)
Side length of model pyramid = 7 inches
Side length of Khufu's pyramid = 481.4 feet (had to search the internet for the answer)
To find:
1)If the model is to scale with Khufu's pyramid
2) If the model is close to scale with Khufu's pyramid
Steps:
1) First lets find the ratio of the height to the side length of the model
Ratio = 4.5 in : 7 in
= 45 : 70
= 9 : 14
= 0.6428
Now lets find the ratio of the height to the side length of Khufu's pyramid
Ratio = 481.4 feet : 755.75 feet
= 5776.8 in : 9069 in
= 0.6369
Therefore the model is not to scale with Khufu's pyramid
2) Yes the scale is close
Part E
Given:
Height of model pyramid = 4.41 inches
Height of Khafre's pyramid = 448 feet
Side length of model pyramid = [tex]\sqrt{45}[/tex] inches
Side length of Khafre's pyramid = 706 feet
To find:
1) If the model is to scale with Khafre's pyramid
2) If the model is close to scale with Khafre's pyramid
Steps:
1) First lets find the ratio of the height to the side length of the model pyramid,
Ratio = 4.41 in : [tex]\sqrt{45}[/tex] in
= 4.41 : 6.7082
= 0.6574
Now lets find the ratio of the height to the side length of Khafre's pyramid
Ratio = 448 ft : 706 ft
= 5376 in : 8472 in
= 0.6345
Therefore the model is not to scale with Khafre's pyramid
2) No, the model is not close to scale, (it depends by what is meant by close, for me its 0.01)
Happy to help, and I hope you learnt something from this answer that will help you in the future
If you didn't understand any topic pls ask
Use the following probability model to answer the question.
Event: For each adult resident in a city we ask how many
vehicles they own.
Number of Vehicles
Probability
0.04
0
1
0.41
0.38
0.13
UWN
0.03
0.01
Find the probability that an adult resident has 3 or more
vehicles. Give your answer as a number between 0 and 1.
Answer:
Step-by-step explanation:
Number of Vehicles Probability
0 0.04
1 0.41
2 0.38
3 0.13
4 0.03
5 0.01
X= 1
.13+.03+.01=0.17 (the amount with 3 or more cars)
0.17/1(Total amount of all probability)= 0.17 has 3 or more cars.
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability that an adult resident has 3 or more is 0.17
What is probability?
It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The probability distribution of the number of vehicles is given as,
P(x) where x is the number of vehicles.
P(0) = 0.4
P(1) = 0.41
P(2) = 0.38
P(3) = 0.13
P(4) = 0.3
P(5) = 0.1
The probability that an adult resident has 3 or more.
= P(3) + P(4) + P(4)
= 0.13 + 0.03 + 0.01
= 0.17
Thus,
The probability that an adult resident has 3 or more is 0.17
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
find an equivalent ratio in simplest terms 18:99
Answer:
2:11
Step-by-step explanation:
divide both sides by 9
what is the value of x?
Answer:
can be anything
Step-by-step explanation:
there's no context
Answer:
The letter "x" is oftenly used in algebra to mean the value that not shown yet it is even called a variable or sometimes even unknown in example x+5=10 , the 'x' is the variable.
I hope this will help u
if m=6 and n=12 what is 2m+5
Answer:
17
Step-by-step explanation:
2m+5
2(6)+5
12+5
17
Answer:
2m+5
2(6)+5 ( if m=6, n=12 )
2×6+5
12+5
17
Step-by-step explanation:
Hope it is helpful.....
can anyone help me? :)
Answer:
7\11
Step-by-step explanation:
you just multiply to get an integer then convert that
5 - 3(7x + 8)
It tells me to simply each expression and then this is the expression.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{5 - 3(7x + 8)}\\\\\large\text{DISTRIBUTE -3 WITHIN the PARENTHESES}\\\large\textsf{5 - 3(7x) + (-3)(8)}\\\large\textsf{-3(7x) = -21x}\\\large\textsf{-3(8) = -24}\\\large\textsf{= \underline{5 - 21x - 24}}\\\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{(-21x) + (5 - 24)}\\\large\textsf{-21 does NOT have any LIKE TERMS so we could leave it the same}\\\large\textsf{5 - 24 is the only LIKE TERM pair}\\\large\textsf{5 - 24 = -19}\\\large\textsf{-21x = -21x}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\textsf{\bf -21x - 19}}}}\huge\checkmark[/tex]
[tex]\bf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The measure of ∠CBD is 45% of the measure of ∠ABC. Find the value of x. due today
Answer:
45°
Step-by-step explanation:
I assume you meant 45°, not 45%.
90-45=45
If it is actually 45%, then the answer would be:
90x.55=49.5°
Which of the following statements is NOT true about the graph of a system of equations with no solutions?
A. The lines will have the different slopes.
B. The lines will have different y-intercepts.
C. The lines will share none of the same points.
D. The lines will have the same slope.
Answer:
A
Step-by-step explanation:
A would be the best answer here because equations with no solutions would be parallel. That means they would have the same slope but with different y-intercepts. Since where the equations share points would be the solution, they cannot share points either.
can someone help me really fast?
First person gets brainliest 4
45+9
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
What are 5 other types of waves (besides visible light) that are found in electromagnetic spectrum.
Answer:
The other types of EM radiation that make up the electromagnetic spectrum are microwaves, infrared light, ultraviolet light, X-rays and gamma-rays.
Step-by-step explanation:
Internet.
Pleaseeeeeeeeeeeeeeeee help nowwwwwwwwwwwwwww
Find 10.8% of 405. Round to the nearest tenth.
If 4(x – 3) + x = –2x + 10, what is the value of x?
Answer:
x=22/7
Step-by-step explanation:
4x-12+x=-2x+10
5x-12=-2x+10
5x=-2x+10+12
5x=-2x+22
5x+2x=22
7x=22
x=22/7
What are indications of a computer hardware problem? Check all that apply.
The printer is printing in black and white.
The keyboard keys are getting stuck.
plz
The computer monitor is going blank.
The pointer of the mouse freezes.
The images on the monitor look sharp.
Step-by-step explanation:
the answer is the keyboard keys getting stuck, it's something you can touch and feel, thus it's an hardware problem
Answer:
The printer is printing in black and white
Step-by-step explanation:
Here are 7 numbers.
3.51
3
.
1.1
4.
4.5
2.5
2.81
Calculate the mean of these 7 numbers.
Answer:
3.06
I hope this helps you :)
find the value of each variable or indicated measures
Answer:
Step-by-step explanation:
To find the angle measure of an angle inside an arc then you multiply 1/2 by the sum of the 2 intercepted arcs.
x=1/2(42+56)
x=1/2(98)
x=49
Solve these equations. Show solutions on a number line. |x - 14| = 14
Answer:
how are we supposed to get a number line if you didn't provide it i would answer it/
Step-by-step explanation:
Answer:
x=0 or x=28
im not sure
Explain how to change 86% into an equivalent ratio written in simplest form
Answer:
I can't explain here since I can't write numbers.
Step-by-step explanation: