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Wewaii [24]
3 years ago
13

One number is 2/5 of another number. the sum of the two numbers is 35. find the two numbers. use a comma to separate your answer

s.
Mathematics
1 answer:
Ivan3 years ago
4 0
We have x = (2/5)y and x + y = 35;
then, (2/5)y + y = 35;
2y + 5y = 175;
7y = 175;
y = 27;
x = 35 - 27;
x = 8;
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The prism below is made of cubes which measure 1/3 of an inch on one side. What is the volume?
Leto [7]

Answer:

the answer is A.  10/8 cubic in.

Step-by-step explanation:

V = LWH

length is 2 (1/3 in)

width is 3 (1/3 in)

height is 5 (1/3 in)

V = 2/3 in * 3/3 in * 5/3 in.

V = 10/9 cubic in.

3 0
3 years ago
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David is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $3 per hour. Garage B charges
Nezavi [6.7K]

Answer:

Step-by-step explanation:

Garage A = 7+3t

Garage B = 4+4t

Garage A = 7+6

Garage B = 4+8

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3 years ago
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A water tank is in the shape of a right circular Austin simulato water tank is in the shape of a right circular Cylinder with a
Burka [1]
⓵ To calculate the volume of a right circular cylinder, the formula is π times the radius of the circular base² time the height of the cylinder.

⓶ Now that we know that the equation to calculate the volume of a right circular cylinder is :

V = π x (r²) x h

You need to find the numbers to replace the volume (V) and the height (h) in the formula.

We already know that the volume is 320 square feet and that the height is 20 feet.

So we are left with a formula looking like this :

320 = π x (r²) x 20

⓷ Now we need to find the radius of the circular base! To do so, you need to solve this equation and isolate the “r”. Start by simplifying the right side :

320 = π x (r²) x 20
÷20 ÷20

↓

16 = π x r²
÷π ÷π

↓

5,09 ⋍ r²
√ √

↓

2,26 feet ⋍ r

⓸ Now that we knoe the value of the radius of the circular base, all there’s left to do is multiply this number by two in order to find the diameter of the water tank :

2,26 x 2 = d

↓

4,51 feet ⋍ d

So your final answer is : the diameter of the water tank is about 4,51 feet.

** Since I devided by “π”, all the answers I wrote from that point are rounded to the nearest hundredths just to make things easier to visualize, but I kept all of the decimals when doing the calculations. So it is possible that your answer might differ slightly from mine if you use the rounded numbers to calculate everything. Just keep that in mind!

I hope this helped, if there’s anything just let me know! ☻
4 0
3 years ago
Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
Part A.) A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden house's wa
saw5 [17]

Answer: It would be 360 gallons of water per 10 mins because

Step-by-step explanation:

You multiply 36×10 and you get 360 gallons

7 0
3 years ago
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