[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]
Therefore,
[tex]x = \frac{19}{20} [/tex]
verified.
Hope you could get an idea from here.
Doubt clarification - use comment section.
A gardener has a flower pot that he wants to fill with dirt. The flower pot has a radius of 8 cm at its opening and a radius of 7 cm at its base. The flower pot has a height of 10 cm.
Part A:
Provide an estimate for the amount of dirt, in cubic centimeters, that the gardener will need to completely fill the flower pot.
Part B:
Explain how you determined your answer.
Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].
Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.
The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]
where
[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]
substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]
the approximate volume of the frustum is [tex]1769cm^3[/tex]
Learn more about the volume of a frustum here: https://brainly.com/question/14177094
The original price of a camera was 7200.00. I
was given a discount of 36%. How much did I pay for
the camera?
Answer:
$4,608.00
Step-by-step explanation:
Subtract 36% from 7,200 and you get 4,608.
N/2-11<-7 solve the 2 step inequality
Answer:
N<6
Step-by-step explanation:
Add 11 to both sides then multiply by 2
please help me quickly
Answer:
D
when you look at it it is upside down so d is the right answer
Can someone please guide me step by step to sum the answer of the equation 5x(6)-10 ?
Answer:
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
Answer
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
Make
q the subject of p=6q +7
To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
How to write an equation in the subject of a variable?To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.
The expression given in the problem is,
[tex]p=6q +7[/tex]
This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,
[tex]p+7=6q +7-7\\p+7=6q[/tex]
Divide both side of equation with number 6.
[tex]\dfrac{p+7}{6}=q[/tex]
Rewrite the equation as,
[tex]q=\dfrac{p+7}{6}[/tex]
Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
Learn more about the unknown variable here;
https://brainly.com/question/1235185
#SPJ1
Select the correct answer.
Why do the hands on the clock form an angle?
OA.
The hands lie in the same circle.
OB.
The hands are two line segments that share the same endpoint.
Oc.
The hands are two line segments that are perpendicular to one another.
OD.
The hands lie in the same plane.
Answer:
Step-by-step explanation:
The hands are two line segments that share the same endpoint.
1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??
Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .
Answer:
[tex]to \: know \: the \: answer \: [/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps you XD ✌️Carry on learning !!I would appreciate it if you can help me with this.
Answer:
[tex]450000 \leqslant 15000 + 4t[/tex]
5/9 + n = 2/3
What does n equal?
A. 1/3
B: 1/9
C: 2/9
D: 4/9
Answer:
n = 1/9Step-by-step explanation:
5/9 + n = 2/3=> 5/9 + n = 6/9=> n = 1/9Conclusion:
Therefore, n = 1/9
Hoped this helped.
[tex]GeniusUser[/tex]
Ashley is bagging 32 pumpkin mut
some friends. Each bag will hold only one type of muffin.
will number
of muffins she can put in each bag? How many bags of each type
of muffin will there be?
Answer:
4 of each, 8 pumpkin bags, 7 banana bags
Step-by-step explanation:
4 is the GCF of 32 and 28.
Divide each number by 4
helpp :(
Habib rides his bike to school. This describes his trip:
A. Rides toward school
B. Stops to wait for a friend
C. Rides the rest of the way to school
Drag one segment to each box to show the shape of the graph of Habib's distance from home for each interval of time.
Answer:
see
Step-by-step explanation:
Is 1 1/30 more or less then 1 1/2 gallons
Answer:
less
Step-by-step explanation:
is the equation in the picture true or false?
Answer:
false
Step-by-step explanation:
I hope this helps!!
Write an expression that is equivalent to -3(2x+5)-3x+6
Answer:
-9x - 9
Step-by-step explanation:
Combine like terms.
-3 • 2x= -6x. -3 • 5= -15
-6x - 15 - 3x+ 6
-9x - 9
5) If 5 times a number is increased by 4, the result is at least 19. Find the least possible
number that satisfies these conditions.
Answer:3
Step-by-step explanation:
5x3=15
15+4=19
I need help with this math help please!
Answer: R= 7
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf t = 7}[/tex]
Step-by-step explanation:
-8 (4 - t) = 24
-32 + 8t = 24
Add 32 to both sides
8t = 24 + 32
8t = 56
Divide both sides by 8
t = 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!
Answer:
88
Step-by-step explanation:
. A circulating pump consumes 450 W for 24 hr a day. a. Determine the energy consumed for a one-year period. b. Calculate the utility energy charges for this period at a rate of $0.12/kWh. c. Determine the energy saved for a one-year period, if the pump is switched off 8 hr a day. d. Calculate the energy cost savings for this period at a rate of $0.12/kWh, if the pump is switched off 8 hr a day.
Answer:
a. 3942 kWh
b. $473.04
c. 1314 kWh
d. $157.68
Step-by-step explanation:
a.There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...
(0.45 kW)(24 h) = 10.8 kWh . . . . energy per day
Then in a 365-day year, the energy used is
(365 da/yr)(10.8 kWh/da) = 3942 kWh/yr
__
b.At the rate of $0.12/kWh, the cost of running the pump is ...
($0.12/kWh)(3942 kWh/yr) = $473.04/yr
__
c.Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):
1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump
__
d.The savings will be 1/3 of the cost of running the pump full time:
1/3($473.04/yr) = $157.68/yr
Can i have help with these two problems.
Answer:
(11/7)x + (3/7)y
Step-by-step explanation:
Perform the indicated multiiplication. We get:
(6/7)x - (2/5)y + (5/7)y + (5/7)x
Now combine like terms, obtaining: (11/7)x + (3/7)y
An alternative expression would be (1/7)(11x + 3y)
Find the measures of the interior angles of the triangle,
Answer:
Angle B = 88
Angle C = 44
Step-by-step explanation:
X+48+(X-44)=180
Subtract 48 from both sides
X+48-48+(x-44)=180-48
X+(x-44)=132
2x-44+44=132+44
2x= 176
X=88
Angle A=48
Angle B =88
Angle C=44
(88-44)
88+44+48=180
Answer:
∠A = 48°
∠B = 48°
∠C = 84°
Explanation:
For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°
Then you do, 180° - 96° to get 84°
So ∠C would be 84°
If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?
Answer:
$200
Step-by-step explanation:
If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.
Evaluate the expression to find out how much she will pay if she drives 100 miles.
250 + 0.80m
: If 10 less than 5 times a number is two more than 3 times the number, then the number is
Answer:
x = 1Step-by-step explanation:
If 10 less than 5 times a number is two more than 3 times the number, then the number is
10 - 5x = 2 + 3x
10 - 2 - 5x - 3x = 0
8 - 8x = 0
x = 1
---------------
check
10 - 5 * 1 = 2 + 3 * 1
5 = 5
the answer is good
A BRANLIST PLEASE HELP MY HEAD HURTS ....MATH
Answer: I think it might be negative
Step-by-step explanation:
Its very hard so brainly is very helpful
Answer: What question do you need help with?
Answer:
do u eat cat litter
Step-by-step explanation:
Pleaseeeeee help
And THANK YOU
[tex] \: \: \: \: \: \: [/tex]
[tex]a.) \: \: \: \: \frac{36}{5} [/tex]
[tex]d.) \: \: \: \: - \frac{ 15}{2} [/tex]
refer to the attachment for explanationhope it helps
Answer:
A= 7 1/5
D= -7 1/2
Step-by-step explanation:
Hope this helped!
This is in mixed form btw
inproper fraction:
A= 36/5
D: -15/2
find the volume of this prism
Answer:
264 cm³
Step-by-step explanation:
[tex]\sqrt{\frac{15}{6} }[/tex]
Simplify, and show work please :D
Hello! :p
Simply 15/6 to 5/2 = [tex]\sqrt{5/2}[/tex]
2. Simply again [tex]\sqrt{5} \\\sqrt{2}[/tex]
3. rationalize the denominator so 5/2 times 2/2 [tex]\sqrt{5} \sqrt{2} \\ ---\\2[/tex]
4. Simply [tex]\sqrt{5} \sqrt{2}[/tex] to [tex]\sqrt{10}[/tex]
answer: [tex]\sqrt{\frac{10}{2} }[/tex]
Hope this helps! Have a wonderful day1 :)
Sorry, I had a hard time finding all the symbols, so I had to get creative!
How do I solve this please look for the x and then the y
Answer:
x + y = 75
Step-by-step explanation:
2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is
2x - 5 + 75 = 180
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Then
2x - 5 = 2(55) - 5 = 110 - 5 = 105
2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so
4y + 25 = 105 ( subtract 25 from both sides )
4y = 80 ( divide both sides by 4 )
y = 20
Then x + y = 55 + 20 = 75