Answer:
The volume of a cone that fits perfectly inside the soda can is 7.
Volume of a can:
21 = r² π h
21 = 3² π h
21 = 9 π h
h = 21/ 9π = 7/ 3π
Volume of a cone that fits perfectly inside a can:
V = 1/3 r² π h = 1/3 · 9 π · 7 / 3π = 7
Or you can use: V cone = 1/3 V cylinder ( with the same basis )
V cone = 1/3 * 21 = 7
Step-by-step explanation:
Since we have given that
Volume of soda can = 21
Diameter of can = 6
As we know the formula for "Volume of cylinder:"
Now, we have to find the volume of a cone that fits perfectly inside the soda can.
so, its radius will be 3 cm and height will be
As we know the formula for "Volume of cone":
Hence, the volume of a cone that fits perfectly inside the soda can is 7.
Margaret is planning a wedding reception. She wants to spend less than her budget of 5,676, and margaret has already spent 2,652. The meal price per guest is 28. How many guests, x, can margaret invite to the reception and stay under budget?
Final answer:
To determine how many guests Margaret can invite to stay under budget, follow the steps to calculate the maximum number of guests based on the remaining budget and meal price per guest.
Explanation:
To determine how many guests Margaret can invite to stay under budget, follow these steps:
Calculate how much budget Margaret has left: $5,676 - $2,652 = $3,024.Divide the remaining budget by the meal price per guest to find out the maximum number of guests she can invite: $3,024 ÷ $28 = 108. Therefore, Margaret can invite a maximum of 108 guests and stay under budget.Which expression is equivalent to 1/2- (-8)?
Answer:
1/2 + 8 is equivalent to 1/2 - (-8)
0.5 - (-8) is ALSO equivalent to 1/2 - (-8)
0.5 + 8 is another equation that is equivalent to 1/2 - (-8)
Step-by-step explanation:
Step-by-step explanation:
0.5-(-8) is equal to it
A tank is in the shape of a rectangular prism. If the base has an area of 116 square feet and the tank is 30 feet tall, how many cubic feet of water would the tank contain when it is filled halfway?
Answer:
1740 cubic feet
Step-by-step explanation:
Given:
A tank is in the shape of a rectangular prism.
Area of base = 116 square feet
Height of the tank = 30 feet
Question asked:
How many cubic feet of water would the tank contain when it is filled halfway?
Solution:
Area of rectangular base = 116 square feet
[tex]Length\times breadth=116[/tex]
As we know:
[tex]Volume\ of\ rectangular\ prism=length\times breadth\times height[/tex]
[tex]=116\times30=3480\ cubic\ feet[/tex]
That means capacity of tank is 3480 cubic feet.
When it is filled halfway, it will contain =
[tex]\frac{1}{2} \ of\ volume=\frac{1}{2}\times3480=1740\ cubic feet[/tex]
Thus, tank will contain 1740 cubic feet of water when it is filled halfway.
change the equation 8x-7y+8=0 into an equivalent equation written in the slope-intercept form
Answer:
Slope = 2.286/2.000 = 1.143
Step-by-step explanation:
To convert 8x - 7y + 8 = 0 to slope-intercept form, first, isolate y by moving terms, then divide by the coefficient of y to find the slope and intercept values as per the equation y = mx + b.
To change the equation 8x - 7y + 8 = 0 to slope-intercept form (y = mx + b), you need to solve for y. Here's the step-by-step process:
Move the term 8x to the right side by subtracting 8x from both sides, giving -7y = -8x - 8.
Divide by -7 to isolate y, resulting in y = (8/7)x + 8/7.
Therefore, the equivalent equation in slope-intercept form is y = (8/7)x + 8/7.
THIS QUESTION DOESNT MAKE ANY SENSE TO ME SO IF YOU KNOW OR COULD HELP PLEASE DO
A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill the funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?
A. 3
B. 4
C. 9
D. 10
Answer:
The funnel will fill the container in about 10 times
Step-by-step explanation:
To solve this question, the principal thing to do is to calculate the volumes of the cone-shaped funnel and the cylinder to actually know the number of times we will need to fill the funnel so as to fill the cylinder,
These number of times can simply be calculated by dividing the volume of the cylinder by the volume of the cone-shaped funnel.
Mathematically, we proceed as follows;
Volume of the cone funnel = 1/3 ×π× [tex]r^{2}[/tex]× h, where r and h represents the radius and height of the cone respectively.
From the question D = 6 inches, and mathematically r = D/2 = 6/2 = 3 inches and h = 7 inches
Plugging the values we have in the question, the volume = 1/3 ×π×[tex]3^{2}[/tex]×7 = 21π [tex]inches^{3}[/tex]
For the cylindrical receptacle, we have the volume calculated as π× [tex]r^{2}[/tex]× h
Where r = 4 inches and h = 13 inches.
Plugging these values we have ; π × [tex]4^{2}[/tex]× 13 = 208π [tex]inches^{3}[/tex]
Now the number of times is simply = volume of cylindrical container/volume of cone-shaped funnel
= 208π/21π = 208/21 = 9.9 which is approximately 10 times
Use the spinner to identify the probability to the nearest hundredth of the pointer
landing on a non-shaded area.
Can you help me with this: 4x + y = 6
Answer:
y = -4x + 6
Step-by-step explanation:
For a slope-intercept equation, you need to isolate the y. For this equation, just subtract 4x from both sides to get y on it's own.
Find the slope and the y-intercept of the line.
2x - 3y = -6
Select one:
A. slope: - ; y-intercept: -2
B. slope: - ; y-intercept: 2
C. slope: ; y-intercept: 2
D. slope: ; y-intercept: -2
Clear my choice
Answer:
choose choice c: slope is (2/3) and y-intercept is 2
Step-by-step explanation:
2x - 3y = -6
Convert this equation to Slope-Intercept form.
2x - 3y - 2x = -6 - 2x
-3y = -6 - 2x
Divide both sides by -3
y = (-6 - 2x)/ (-3)
y = 2 + 2x/3
slope is (2/3) and y-intercept is 2
Would i solve this doing 14+5 or 14-5 to get the missing length?
Answer:
The answer to your question is 10 ft
Step-by-step explanation:
We can observe that all the sides have a length but the first to the left.
Also, we know the corners meet at right triangles, so to calculate the length of the missing side, we must add to sides.
But these sides must be the ones that are in front of it (6 ft and 4 ft)
Then ? = 6 + 4
10 ft
Which expression matches: 7 less than the product of 4 and 5
7- (4 + 5)
7- 4(5)
4(5) -7
(4 + 5) -7
Answer:
4(5) -7
Step-by-step explanation:
4(5) -7
The product of 4 and 5 means that 4 and 5 are multiplied together.
"7 less than," means subtracting 7.
That means you get 4(5) - 7
Evaluate the expression.
4
5
+
3
5
–
2
5
÷
1
3
Write your answer as a fraction or as a whole or mixed number.
The required solution to the expression 45 + 35 - 25 ÷ 13 is approximately 78.077.
To solve the expression 45 + 35 - 25 ÷ 13, we need to follow the order of operations (PEMDAS/BODMAS).
First, we perform the division operation:
25 ÷ 13 = 1.923 (rounded to three decimal places).
Then, we perform the addition and subtraction operations from left to right:
45 + 35 = 8080 - 1.923
= 78.077 (rounded to three decimal places).
Therefore, the answer to the expression 45 + 35 - 25 ÷ 13 is approximately 78.077.
Learn more about PEMDAS here:
https://brainly.com/question/20876480
#SPJ4
Point B has coordinate B(1, -1).
What is the coordinate of B' under a scale factor of 3?
A:(1,-1)
B:(3, -3)
C:(-2, 2)
D:(-6, 6)
Answer:
B
..............................................
Answer: I believe it would be B(3,-3), Please correct me if I'm wrong, but thats the way I was taught when dealing with scale factors.
Step-by-step explanation:
A restaurant is offering a special deal on pizza and drinks. You can get 2 large pizzas and 4 large drinks for $16. Or, you can get 4 large pizzas and 7 large drinks for $30. How much would each pizza (p) and each drink (d) cost separately?
Answer:
p=4 d=2
Step-by-step explanation:
To do this, we can set up a system of equations.
Special Deal 1:
2p+4d=16
Special Deal 2:
4p+7d=30
Now we can set this up for elimination, and try to eliminate the p variable.
Let's do this by multiplying the entire equation for Special Deal 1 by 2.
2(2p+4d=16)
4p+8d=32
Now we can eliminate p by subtracting the equation for special deal 2, by the equation for special deal 1.
4p+8d=32 minus
4p+7d=30 equals
d=2
Now we can plug that into the original equation to find the cost of p.
2p+4(2)=16
2p+8=16
Subtract 8 from both sides.
2p=8
p=4
Therefore, a pizza costs $4 and a drink costs $2.
Answer: p=4 d=2
Step-by-step explanation:
just did the assignment, it's right
The circumference of a circle is 38.936 meters. What is the circle's diameter?
Which excerpt from the poem "Girl Powdering Her Neck" by Cathy Song is an example of a simile?
"her legs folded beneath her / as she sits on a buckwheat pillow"
"Morning begins the ritual / wheel of the body"
"The peach-dyed kimono / patterned with maple leaves"
"She dips a corner of her sleeve / like a brush into water"
Answer: D “she dips a corner of her sleeve / like a brush into water”
Step-by-step explanation:
The simile from Cathy Song's poem "Girl Powdering Her Neck" is identified in the line that compares the subject's form to 'polished ivory' and her cheek to 'the spring', using the words 'like' and 'as'.
The student asks which excerpt from Cathy Song's poem "Girl Powdering Her Neck" is an example of a simile. A simile is a figure of speech that compares two different things using the words 'like' or 'as'. In the provided excerpts, the simile is found in the line:
From head to foot her lovely form is fair
As polished ivory. Like the spring, her cheek
Presents a radiant bloom...
This line compares the subject's fair form to polished ivory and her cheek to the spring, suggesting freshness and radiance. The use of 'like' and 'as' confirms these comparisons as similes.
A train leaves at 17.22 and arrives at its destination at 18.14.
If the train travelled 56 km, what was it's the average speed in km/h?
Give your answer rounded to 1 dp.
The train's average speed was calculated by using the formula for average speed (Total distance \/ Total time), resulting in approximately 64.4 km/h, after converting the total journey time from minutes to hours.
To calculate the average speed of the train, we can use the formula:
Average speed = Total distance \/ Total time
First, we find the total time taken by the train for its journey:
Departure time: 17:22
Arrival time: 18:14
Total time = Arrival time - Departure time
Total time = 18:14 - 17:22
Total time = 52 minutes
To convert minutes to hours (since speed is in km/h), we divide by 60:
Total time in hours = 52 / 60 ≈ 0.87 hours
Now, we can plug in the given distance and calculated time into the formula:
Average speed = 56 km / 0.87 hours ≈ 64.4 km/h
Hence, the train's average speed was approximately 64.4 km/h, rounded to 1 decimal place.
Randy went to the store and brought a shirt that cost $42.00 before taxes and discount. The shirt was on sale for a discount of 20% before tax. The sales taxes was 3%. What did randy pay for the shirt after discount and tax
Answer:
Step-by-step explanation:
The 20% discount amounted to ...
0.20 × $42.00 = $8.40
so the price before tax was ...
$42.00 -8.40 = $33.60
The tax amount is 3% of this value, so is ...
0.03 × $33.60 = $1.008 ≈ $1.01
So the total price paid for the shirt was ...
$33.60 +1.01 = $34.61
Randy paid $34.61 for the shirt after discount and tax.
___
Alternate solution
You can realize that the 20% discount means that Randy will pay 80% of the original price of the shirt. Similarly, the 3% added tax means Randy will finally pay 103% of the discounted price. Then the total price Randy pays is ...
$42.00×0.80×1.03 = $34.608 ≈ $34.61
Who are y’all a favorite music artist?
Let me know what the word is.
Put me on!
Answer:
Well I have two that i really enjoy which is Lund and Melanie Martinez
Step-by-step explanation:
Both of their music is amazing I enjoy listening to it all the time there is more i love but i would recommend this two
Answer: Drake, Ariana Grande, Justin Bieber, Shawn Mendes Etc
Step-by-step explanation:
12 + x = 0.80(x + 20)
Solve the linear equation
Answer:
20
Step-by-step explanation:
12+x=0.8(x+20)
Divide both sides by 0.8:
15+1.25x=x+20
Subtract x from both sides:
0.25x+15=20
Subtract 15 from both sides:
0.25x=5
Multiply both sides by 4:
x=20. Hope this helps!
Answer:
x = 20
Step-by-step explanation:
12 + x = 0.80(x + 20)
Distribute the 0.80 on the right side.
12 + x = 0.8x + 16
Subtract 0.8x from both sides.
12 + 0.2x = 16
Subtract 12 from both sides.
0.2x = 4
Divide both sides by 0.2.
x = 20
Michael Rice’s bike at a constant speed of 12 mph how far can he travel in two hours
Answer:
The answer to your question is distance = 24 mi
Step-by-step explanation:
Data
speed = 12 mph
time = 2 hours
distance = ?
Process
To solve this problem, use the speed formula. Speed is a variable that measures the distance travel by a body over time.
speed = distance / time
-Solve for distance
distance = speed x time
-Substitution
distance = 12 x 2
-Result
distance = 24 mi
Answer:
24miles
Step-by-step explanation:
12/1 = x/2
where the numerator is the miles and the denominator the hours
cross multiply
12×2 and dived by 1 to yet your answer.
Can the sides of a triangle have lengths 9.2, 7.8, and 2.1?
Step-by-step explanation:
9.2 + 7.8 = 17 > 2.1
7.8+2.1= 9.9> 9.2
9.2+2.1= 11.3 > 7.8
Since, sum of any two sides is greater than the third side, a triangle can have these lengths
1. Mr. Gomez stores his iguana food in a can that is eight inches tall and has a diameter of six inches. He stores his hamster food in a can that is ten inches tall and has a diameter of five inches. Which can of food is larger?
Answer:
The iguana can is larger
Step-by-step explanation:
Plug in the measurements into the equation for a cylinder (V=πr^2h) to find out which volume is bigger. Remember to divide the diameter by 2 to radius.
(Hampster) V≈196.35 < V≈226.19 (Iguana)
A circle has a radius of 5 and the arc measure is 60. what is the Arc lenght
Answer:
5.23 units
Step-by-step explanation:
Let the length of arc be l
[tex]central \: \angle \: ( \theta) = 60 \degree \\ radius \: (r) = 5 \: units \\ \\ \because \: l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: l = \frac{60 \degree}{360 \degree} \times 2 \times 3.14 \times 5 \\ \\ \therefore \: l = \frac{1 }{6} \times 31.4 \\ \\ \therefore \: l = 5.23 \: units[/tex]
richard loves to golf he has 54 golf balls he bought 18 more and received 2 packs of 12 golf balls for his birthday when he went to play he lost 12 golf balls and gave 14 to his brother how many golf balls does richard have left
Answer:
70 golf balls
Step-by-step explanation:
54+18+24-12-14=70
Which function represents the following graph?
On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4.5).
y = StartRoot x minus 3 EndRoot + 3
y = StartRoot x + 3 EndRoot + 3
y = RootIndex 3 StartRoot x minus 3 EndRoot + 3
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
Answer:
its d on edg
Step-by-step explanation:
just did the test
Answer
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
Step-by-step explanation:
Took quiz
a fish tank holds 513 gallons but leaks at a rate of 4 gallons per day and 684 gallons but leak at a rate of 7 gallons per day . after how many days will the amount of water in the two tanks be the same
Let f= {(-5,1).( - 4,0).(0,6)}
Find f(0)
f(0)=
Given:
It is given that the coordinates of the function are [tex]f=\{(-5,1),(-4,0),(0,6)\}[/tex]
We need to determine the value of f(0)
Value of f(0):
The value of f(0) is the value of the function when the input is 0.
We need to determine the value of f(0) when the input is x = 0
Thus, from the coordinates of the function [tex]f=\{(-5,1),(-4,0),(0,6)\}[/tex], it is obvious that the input value of the function is x = 0 , then the value of the function f(0) = 6.
Thus, when the input value x = 0, the output is f(0) = 6.
Therefore, the value of f(0) = 6.
For which of the following value(s) of p is the following function NOT defined:
For p=5 function not defined
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia
Answer:
A. (5).
Step-by-step explanation:
It' not defined if the denominator 3p - 15 is equal to zero.
This happens when p = 5 ( 3(5) - 15 = 0).
Cory sold 6 baseball cards to a collector for a total of $90. He sold each card for the same price. What is the unit rate of Cory’s baseball cards?
Answer:
The answer would be 15
Step-by-step explanation:
90÷6=15
The slope of the graph of the equation Y=2x-2 is 2. What is the y-intercept?
y-intercept =
1
I
Answer:
-2 or (0,-2)
Step-by-step explanation:
The slope intercept form is y=mx+b, where m represents the slop and b represents the y intercept. Since b here is -2, so is the y intercept's y value. The coordinate of the y intercept is (0,-2). Hope this helps!