Answer:
x----------> the length of the room
y----------> the width of the room
we know that
x*y=120---------> equation 1
y=(5/6)x--------> equation 2
substitute 2 in 1
x*[(5/6)x]=120------> (5/6)x²=120-----> x²=120*6/5-----> x²=144
x=12 ft
y=(5/6)*12-----> y=10 ft
the answer is
the dimensions of Winnie's bedroom are
the length of the room is 12 ft
the width of the room is 10 ft
Step-by-step explanation:
Look at this figure: What is the shape of its bases?
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
Answer:
A = 126 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 9 , then
A = 14 × 9 = 126 cm²
A sphere has a volume of V = 1764 in. Find its surface area.
Answer:
The surface area is 706.02
Step-by-step explanation:
SA = 224.4pi (704.62)
Alternatively (706.02 without rounding)
First, we need to find the radius of the sphere with the following equation
[tex]r = (3\frac{V}{4\pi } )^\frac{1}{3} \\r = (3\frac{1764}{12.56} )^\frac{1}{3} \\r = (3*140.45)^\frac{1}{3} \\r = (421.35)^\frac{1}{3} \\r = 7.49[/tex](pi as 3.14)
Now we can find the surface area using the following equation
[tex]SA = 4r^2\pi \\SA = 4(56.1)\pi \\SA = 224.4\pi \\[/tex]
A triangle has angle measurements of 71°, 33°, and 76º. What kind of triangle is it?
Answer:
A triangle that has three acute angels is called an acute triangle.
Step-by-step explanation:
In 1994 , about 493 CDs were sold for every 9 albums . A large music store sold 912 albums . About how many were sold (to the nearest CD?
Answer:
49,886
Step-by-step explanation:
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
See below.
Step-by-step explanation:
The formula for the volume of a sphere
= 4/3 π r^3 where r = the radius.
So for number 1:
V = 4/3 π (5)^3
= 523 .60 mm^3 to nearest hundredth.
The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4, r = 30/2 = 15.
Netflix charges David $15 per month for a membership, plus a one time $5 fee to stream on his phone. How many months will David have his membership if Netflix charges David $50?
Answer:
David will have his membership for 3 months.
Step-by-step explanation:
For the first month + the one-time mobile fee, that is $15 for one month + $5 for the fee.
So far, he has been charged $20.
Another month's cost is $15 more, which will bring his total cost to $35.
Another month's cost is $15 more, which will bring his total cost to $50.
If Netflix charges David $50, that means he will have paid the mobile fee, and have had his membership for 3 months.
-2 < n s6
n is an integer.
What are the possible values of n?
4x – 4 = – 12
X = ?
What is X ?
Answer:
X=-2
Step-by-step explanation:
4x-4=-12
Add 4 on both sides
+4 +4
4x=-8
Divide by 4 on both sides
÷4 ÷4
X=-2
Answer:
-2
Step-by-step explanation:
4x-4=-12
4x=-12+4
4x=-8
x=-8/4
x=-2
solve the equation
x/2.1=4.1/3.5
Answer:
X=2.46
Step-by-step explanation:
The ages in years of eight boys are 14,
14.5, 12, 11.5, 15, 13, 10.5, 13.5. What is
their average age?
A. 14 B. 13
C. 12 D. 11
Answer:
B) 13
Step-by-step explanation:
Average age means to calculate mean:
Mean = (Sum of all numbers)/(Number of numbers)
Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8
Mean = (104)/8
Mean = 13
solve 6x + 6 = 3x - 6
Answer:
x = -4
I hope it's helps you t
Answer:
x = -4
Step-by-step explanation:
Simplifying
6x + 6 = 3x + -6
Reorder the terms:
6 + 6x = 3x + -6
Reorder the terms:
6 + 6x = -6 + 3x
Solving
6 + 6x = -6 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
6 + 6x + -3x = -6 + 3x + -3x
Combine like terms: 6x + -3x = 3x
6 + 3x = -6 + 3x + -3x
Combine like terms: 3x + -3x = 0
6 + 3x = -6 + 0
6 + 3x = -6
Add '-6' to each side of the equation.
6 + -6 + 3x = -6 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = -6 + -6
3x = -6 + -6
Combine like terms: -6 + -6 = -12
3x = -12
Divide each side by '3'.
x = -4
Question
The volume of a cube is 0.125 in^3 What is the length of one side?
Answer:
0.5 inches
Step-by-step explanation:
Volume of a cube = L × L × L = L³
0.125 = L³
L = ³√0.125
L = 0.5 inches
Please help with this question 20 points
Answer:
G
Step-by-step explanation:
what is the greatest common factor of 48x^2 and 32x^3 ?
5 yd
.
6 yd
Byd
Click Here:
Help on this complete the square problem.
[tex]x^2+3x+7[/tex]
The area of the rectangular school garden is 24 square units. The length of the garden is 8 units. What is the length of the fence needed to enclose the entire garden?
is this rational or irrational?
Answer:
rational
hope it helps.
Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?
Answer:
68 games
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Games won = 85%
Game lost = 12
Here, 100% - 85% = 12
15% = 12
or 1% = 0.8
So, total games played (100%) = 80 games
Now, number of games won = Total games - Games lost
= 80 - 12
= 68 games
Hence, Kelly's team wins 68 games in the season.
monthly salary of a teacher was Rs 12000 last month.lf the salary increase by 20% find his salary this month
Answer:
new salary = ₹ 14400
Step-by-step explanation:
here's your solution
==> monthly salary = ₹ 12000
==> percentage increase in salary = 20%
=> we need to find 20% of 12000
==> increased amount = ₹ 2400
==> salary of this month = 12000 + 2400
==> new salary = ₹ 14400
hope it helps
can someone tell me if the left side is right? if not whats the correct way? also help me with the right side please :/
Answer:
Right: Y=52
Left: X=19
Step-by-step explanation:
HELP PLEASE. find the volume of the figure. (3.14 as pi)
Answer:
The volume of the figure is 720 cm^3
Step-by-step explanation:
Here, we want to find the volume of the figure
mathematically, we can have this as the product of the base of the figure and it’s height
the base is a rectangle and the area is the product of the side lengths
Mathematically, we have this as;
9 * 20 = 180 cm^2
So the volume here can be obtained by simply multiplying by the height of the shape
we have this as;
180 cm^2 * 4 cm = 720 cm^3
what is the area of this trapezoid
h=4 b2=5 b1 equal 10
Answer:
5+10=15
15×4÷2
60÷2
=30
10k^2 - 10k + 2 = -k
Answer:
k=0 or k=9/10
Step-by-step explanation:
10k^2 - 10k- (-k) = - k- (-k)
10k^2-9k=0
k(10k-9)=0
k=0 or 10k-9=0
k=0 or k=9/10
Answer:k=(1/2,2/5)
Step-by-step explanation:
someone pls help asap :))
Answer:
Its probably B
Step-by-step explanation:
Sorry if im wrong
helppppppppppppppppppppppppppp
Answer: A
Step-by-step explanation:
can someone help me please
Answer:
3.5
Step-by-step explanation:
If you divide x from y on each row, you will always get 3.5
which model could represent the expression below:
3 divided by 4/7
I believe the answer would be D.
Answer:
Answer is B . I took the quiz and got a 100.
Step-by-step explanation:
Marco picked answer A for the following problem. Why is that not the correct answer? (NO LINKS)
Answer:
This is not correct because the organic rice line in Graph A is increasing more than the conventional rice line. This is why the x- and y-labels are important: organic rice in Graph A; you are able to get more pounds for the same amount of weight. If organic rice costs more, you should get less pounds of rice. Graph B shows this relationship because the conventional rice line is higher than the orangic rice line, which indicates that you can get more conventional rice than organic rice at the same price, which is what the question says.