Answer:
It is 94
Step-by-step explanation:
The volume of a cone with a height of 10 meters and a radius of 3 meters is
94 m³.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
Given, A cone has a radius of 3 meters and a height of 10 meters.
Therefore, The volume of this cone is,
= (1/3)π(3)²×10 m³.
= 30π m³.
= 30×3.14 m³.
= 94.2 m³ or 94 m³.
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complete the inequality statement. 4/13. 6/13
Answer:
6/13 > 4/13
4/13 < 6/13
Step-by-step explanation:
5(6x - 1) - 10x + 5 = 4(x + 10) - 4x
Answer:
x=2
Step-by-step explanation:
5(6x-1)-10x+5=4(x+10)-4x
simplify both sides
30x-5-10x+5=4x+40-4x
Simplify even further
20x=40
x=2
15 POINTS!
help with this. image is attached...
Answer:
50
Step-by-step explanation:
5³ ÷ (↓13 - 8) x 2
↓5³ ÷ 5 x 2
125 ÷ 5 x 2
25 x 2
50
Want three fractions are the same2/4 4/6 5/8 3/6 2/3 6/9
Answer:
2/4 . 4/6 . 2/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
2/4=1/4
4/6=2/3
5/8
3/6
6/9=3/6
Solve using touch points: 620+207=
Answer:827
Step-by-step explanation:
Add 620 plus 207
Kira, Bill, and Michael served a total of 134 orders Monday at the school cafeteria. Michael served 3 times as many orders as Kira. Bill served 9 more orders that Kira. How many orders did they each serve?
Answer:
Kira served 25 orders, Bill served 34 orders and Michael served 75 orders.
Step-by-step explanation:
Let Kira served x number of orders.
So, Bill served (x + 9) orders and Michael served 3x orders.
Now, it is given that Kira, Bill, and Michael served a total of 134 orders.
So, x + (x + 9) + 3x = 134
⇒ 5x + 9 = 134
⇒ 5x = 125
⇒ x = 25
Therefore, Kira served 25 orders, Bill served (25 + 9) = 34 orders and Michael served 3 × 25 = 75 orders. (Answer)
What equation can be used to find how many fluid ounces are in 4 cups.
There are 32 fluid ounces in 4 cups
Explanation:In order to solve this problem, you need to know some facts:
[tex]1oz=0.125cups \\ \\ 1cup=8oz[/tex]
By knowing this, we can easily solve this problem by proportion:
[tex]Let: \\ \\ x:Fluid \ ounces \\ \\ \frac{x}{4}=\frac{1}{0.125} \\ \\ x=\frac{4}{0.125} \\ \\ x=32[/tex]
So there are 32 fluid ounces in 4 cups
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A customer at the mall is shopping for holiday gifts, and is considering having them wrapped. He can get them wrapped at the department store, which charges $2 per gift. Alternatively, the customer can pay his niece a flat fee of $50 to wrap all of his gifts. If he has a certain number of small packages, it would cost the same amount either way. How many small gifts would that include?
Final answer:
The customer would need to have 25 small gifts to wrap in order for the costs to be the same, whether using the department store's service at $2 per gift or paying his niece the $50 flat fee.
Explanation:
To determine how many small gifts need to be wrapped to make the cost the same whether paying his niece the flat fee of $50 or paying the department store $2 per gift, we can set up a simple equation:
Let x represent the number of small gifts.
Then, the cost of wrapping at the department store is $2 per gift, which means the cost is 2x dollars.
The niece's flat fee is $50, regardless of the number of gifts.
The equation to find the breakeven point where both options cost the same is:
2x = 50
Solving for x gives us:
x = 50 / 2
x = 25 gifts
Thus, if the customer has 25 small gifts to wrap, it would cost the same to have them wrapped by his niece at a flat rate or by the department store per gift.
If a=2b^3 and b= -1/2c ^-2,express a in terms of c.
Answer:
Part 1) [tex]a=-\frac{1}{4c^6}[/tex]
Part 2) [tex]a=-\frac{1}{4c^{-6}}[/tex]
Step-by-step explanation:
Part 1) we have
[tex]a=2b^{3}[/tex] ----> equation A
[tex]b=-\frac{1}{2}c^{-2}[/tex] ----> equation B
substitute equation B in equation A
[tex]a=2(-\frac{1}{2}c^{-2})^{3}[/tex]
Applying property of exponents
[tex](x^{m})^{n}=x^{m*n}[/tex]
[tex]x^{-m} =\frac{1}{x^{m}}[/tex]
[tex]a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}[/tex]
therefore
[tex]a=-\frac{1}{4c^6}[/tex]
Part 2) we have
[tex]a=2b^{3}[/tex] ----> equation A
[tex]b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}[/tex] ----> equation B
substitute equation B in equation A
[tex]a=2(-\frac{c^{2}}{2})^{3}[/tex]
Applying property of exponents
[tex](x^{m})^{n}=x^{m*n}[/tex]
[tex]x^{-m} =\frac{1}{x^{m}}[/tex]
[tex]a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})[/tex]
simplify
[tex]a=-\frac{c^{6}}{4}[/tex]
therefore
[tex]a=-\frac{1}{4c^{-6}}[/tex]
what is 2x cubed plus 2x squared simplified too
Answer:
4x^4
Step-by-step explanation:
Cubed and squared are the same thing
BRAINLESS PLS
Miranda worked Monday at her part time job and earned $71.75 for 7 hours. How much would Miranda earn after working 15 hours?
Answer:
$153.75
Step-by-step explanation:
$71.75 / 7=$10.25
$10.25 x 15 =$153.75
Jackie practices her piano for 1/2 an hour on Monday Wednesday and Friday she practices for 2/3 of an hour on Tuesday Thursday Saturday she practices for 1 hour on Sunday how many hours does Jackie practice her piano each week
Answer:
4 and a half hours
Step-by-step explanation:
half an hour ((60 x 1) / 2) for 3 of the days (30 x 3) is 90 so 1 and a half hours. then, 2/3's of an hour ((60 x 2) / 3) for 3 days (40 x 3) is 120 so 2 hours. then, adding the last hour 1.5 + 2 + 1 is 4.5 or 4 and a half hours.
Choose the number equal to: 2/3 divided by (-3)
A) -2
B) - 2/9
C) 2/9
D) 2
Answer:
-0.22222222222
Step-by-step explanation:
Which is (B)
Paul runs 4.8 km every morning. How many feet are in 4.8 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet?
1,769.90 feet
8,495.52 feet
12,437.42 feet
15,751.40 feet
plz help brainlist
Answer:
Step-by-step explanation:
1.609 km=1 mile
1 km=1/1.609 mile
[tex]4.8 km=\frac{4.8}{1.609} ~miles=\frac{4.8*5280}{1.609} \approx~15,751.40~ft[/tex]
Answer:
the answer is D 15,751.40
1 Kilometer is equal to 3,280.839895 feet which is approximately 3,281 feet.
multiply 3,281 feet by 4.8 = 15,748.8 which can be rounded to make 15,751.40.
In total making the correct answer choice D.
2. Janet baby-sat for 28 hours over two weeks. She earned $5.00 an hour. What was her gross
pay?
Answer:
$140
Step-by-step explanation:
Answer:
$140.00
Step-by-step explanation:
Gross pay is the pay before any deductions by taxes or other reason.
Simply multiply the five dollars by twenty-eight hours.
Q(9,10) . R(-5,2) . S(-8,-2) . T (-1,2) . Parallel or Perpendicular
Answer:
Perpendicular
Step-by-step explanation:
Put all the points on a graph.
Parallel means that the lines that have the same slope and different y-intercepts. Lines that are parallel to each other will never intersect.
On the graph we made we can see that the lines will have to intersect because the points are in positions that no matter which points we chose to connect together, they would intersect with the other line.
Samir, a carpenter Spent $300 on specialty tools to make toy horses for children for each horse he makes he spent $75 on supplies he charges $125 for each horse how many horses does Samir sell in order to break even ?
Assuming he spent $300 on specialty tools to make toy horses for children the number of horses that Samir sell in order to break even is 6 horses.
First step is to calculate his profit
Profit=$125-$75
Profit=$50
Now let determine how many horses does Samir sell in order to break even
Number of horse=$300/50
Number of horses=6 horses
Inconclusion the number of horses that Samir sell in order to break even is 6 horses.
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Answer:6
Step-by-step explanation:
A coffee shop offers 2 types of coffee: regular and decaffeinated; 3 types
of flavoring: vanilla, hazelnut, and caramel; and 2 choices of topping: with
or without whipped cream. How many possible choices are there?
12 choices
16 choices
14 choices
18 choices
Answer:
12 choices
Step-by-step explanation:
2*3 = 6
6*2= 12
You would have to multiply the numbers to see the number of choices.
There are 12 different choices for coffee in the shop.
How many choices are there?
First, we need to find the selections, these are:
Type of coffee.Type of flavoring.Topping.Now we need to find the number of options for each selection:
Type of coffee: (2 options)Type of flavoring: (3 options)Topping: (2 options).The total number of combinations is the product between the numbers of options:
C = 2*3*2 = 12
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When Jared found 1/5 +2/5,he wrote the sum 3/10 is Jared correct
Answer:
Step-by-step explanation:
no, he is not. He literally added the numerators and the denominators. When ur adding fractions with the same denominator, u just add the numerators and keep the same denominator.
1/5 + 2/5 = 3/5
Answer:
No, because 1/5+2/5=3/5. 3/5 is also equivalent to 6/10, not 3/10.
The planet Mercury has a radius of 1500 miles and rotates one revolution every 1400 hours. What is the linear speed of a point on its equator in miles per hour?
The linear speed of a point on Mercury's equator is approximately 6.77 miles per hour.
To find the linear speed of a point on Mercury's equator, we can use the formula for linear speed:
[tex]\[ \text{Linear Speed} = \frac{2\pi r}{T} \][/tex]
where:
- ( r ) is the radius of the planet,
- ( T ) is the time it takes for one revolution.
Given that the radius of Mercury is 1500 miles and it rotates once every 1400 hours, we can plug in these values into the formula:
[tex]\[ \text{Linear Speed} = \frac{2\pi \times 1500}{1400} \][/tex]
Simplifying this expression gives us the linear speed in miles per hour.
[tex]\[ \text{Linear Speed} = \frac{3000\pi}{1400} \approx 6.77 \, \text{miles per hour} \][/tex]
(SAT Prep) Find the value of x in each of the following exercises:
JIMGRANT1 CAN YOU PLEASE DO MY OTHER QUESTION AND THIS ONE.
Answer:
X=40 degrees
Step-by-step explanation:
Having trouble with RSM?
The value of angle x will be equal to 40 degrees.
What are corresponding angles?According to the equivalent angle postulate, if a transversal meets two parallel lines, the corresponding angles must be congruent.
In other words, the corresponding angles will always be identical if a transversal intersects two parallel lines. In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.
In the diagram attached with the answer below apply the corresponding angle theorem to calculate the value of x.
The value of angle x by using corresponding angle theorem will be calculated as below:-
x = 180 - 65 - 75
x = 180 - 140
x = 40
Therefore, the value of angle x will be equal to 40 degrees.
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Find two numbers whose sum is 9 and whose difference is -1
Answer:
4 and 5
Step-by-step explanation:
Make a system of equations:
x+y=9
x-y=-1
x=9-y
9-y-y=-1
9-2y=-1
-2y=-10
y=5
Since y=5, x must be 4 since 4+5=9 and 4-5=-1
Hope this helped!
Which of the following points is NOT a solution to the inequality: y ≥ 2x − 10?
(5,0)
(-1,1)
(4,2)
(6, -2)
A businessman bought a fairly used radio set for 950 dollars and spent 250 dollars for repairing it before selling it for 1500 dollars. what is the percentage profit?
I believe it's a 25% profit.
950+250= 1200
1500-1200= 300
300/1200= 0.25
0.25 x 100= 25%
Answer:
I want to say 20% I could be wrong
Step-by-step explanation:
$950 + $250 = 1,200
1,200 ÷ 1500 = 0.8
0.800 > 80.0
80%
100% - 80% = 20%
Net Profit Margin = 20%
Net Profit =$300
Profit Percentage = 25%
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 28 N acts on a certain object, the acceleration of the object is 7 /ms2. If the force is changed to 8 N, what will be the acceleration of the object?
Answer:[tex]2 m/s^{2}[/tex]
Step-by-step explanation:
According to Newton's second law, the acceleration [tex]a[/tex] of an object with mass [tex]m[/tex] is directly proporional to the force [tex]F[/tex] applied to that object:
[tex]F=m.a[/tex] (1)
In the first case we are given the following data:
[tex]F=28 N[/tex]
[tex]a=7 m/s^{2}[/tex]
Substituting this information in (1):
[tex]28 N=(m)(7 m/s^{2})[/tex] (2)
Isolating [tex]m[/tex]:
[tex]m=4 kg[/tex] (3) This is the mass of the object
Now if we keep this calculated mass, but we change the applied force to [tex]F=8 N[/tex], we will have:
[tex]8 N=(4 kg)a[/tex] (4)
Isolating the acceleration:
[tex]a=2 m/s^{2}[/tex] (5) This will be the acceleration of the object is the force is changed to 8 N.
what is 2 3/4 - 1/3
and how did you get that answer
Answer:
Step-by-step explanation:
2 3/4 = 11/4
11/4-1/3
11/4x3=33/12
1/3x4= 4/12
33-4=29
2 5/12
Tiny Tim is 5 feet tall expression 0.5m + 60 can be used to calculate his height in inches if he grows an average of 0.5 inch each month. Using that expression, calculate tiny Tim’s height in 6 months.
A. 63 inches
B. 56 inches
C. 5 feet 6 inches
D. 53 inches
Answer:
The answer is A
Step-by-step explanation:
Since we are finding Tim's height in 6 months, you would have to plug the 6 into the expression.
Answer:
Step-by-step explanation: it A
0.5+6= 3
60+3= 63
What are the solutions to the equation 3(x - 4)(x + 5) = 0?
O
O
O
x= 4 or x = 5
x= 3, x = 4, or x = -5
x= 3, x= -4, or x = 5
x = 4 or x = -5
Answer:
Step-by-step explanation:
3(x - 4)(x + 5) = 0
Dividing through by 3
(x - 4)(x + 5) = 0
(x - 4) = 0 or x + 5 = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = - 5
How many ice creams can be made with Three ice cream flavors three syrup flavors at three types
An experiment consists of flipping a single coin followed by rolling a six-sided cube (a die).
What is the probability of getting a head followed by a 6?
[tex]\frac{?}{?}[/tex]
Answer:[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Okay, first, you want to find the probability of getting a head, which would be 1/2 because there are two options and we are only looking for one out of the two. Then, the probability of getting a 6 would be 1/6 because there is only one chance of getting a 6 and there are 6 options. Next, you would have to multiply both quantities to find out what the probability would be of getting both. So it would be [tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{6}[/tex]=[tex]\frac{1}{12}[/tex]
Probability of getting a head followed by a 6 is 1/12
Step-by-step explanation:
There are 2 possible outcomes of tossing a coin a head and a tail.
The probability is 1 out of 2 each for head and tail.
Probability of getting a 6 when a dice is rolled is 1 out of 6 for each face i.e 1,2,3,4,5,6
So the probability of getting a head followed by 6 is 1/2*1/6 = 1/12
It can also be understood as below.
There can be 12 possible combinations once a coin is tossed and a die is rolled. Head-1, Head-2. Head-3, Head-4, Head-5, Head-6, Tail-1, Tail-2, Tail-3, Tail-4, Tail-5, Tail-6
In the list there is 1 outcome that we need. Head-6. This again gives us the chance of getting Head-6 as 1 out of 12.