The best fruit punch requires 2/5 cup of juice concrete to 3/7 cups of water. To maintain the same taste, how many cups of water should be used for every cup of juice concentrate?
a. 6/35
b. 14/15
c. 29/35
d. 15/14
​

Answer:

(At least) 10 centimeters.

Step-by-step explanation:

The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.

We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.

First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:

[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]

Since the radius is 2.5 cm, the volume of the full ice cream scoop is:

[tex]\displaystyle V=\frac{4}{3}\pi (2.5)^3[/tex]

Use a calculator:

[tex]V\approx 65.4498\text{ cm}^3[/tex]

The volume of a cone is given by:

[tex]\displaystyle V=\frac{1}{3}\pi r^2h[/tex]

The radius of the cone is 2.5 cm. Therefore:

[tex]\displaystyle V=\frac{1}{3}\pi(2.5)^2h=\frac{1}{3}\pi(6.25 h)=\frac{6.25\pi}{3}h[/tex]

The volume of the cone should be equal to the volume of the scoop. So:

[tex]\displaystyle 65.4498=\frac{6.25\pi}{3}h[/tex]

Solve for h:

[tex]\displaystyle h\approx 65.4498\Big(\frac{3}{6.25\pi}\Big)=10\text{ cm}[/tex]

The height of the cone should be (at least) 10 cm.

Method:

First place the replace of p and r using brackets.

= 3(6) + 11.7(7)

3 times 6 is 18 and 11.7 times 7 is 81.9

= 18 + 81.9

add one and one together you get

= 99.9

hope it helps

Answer:

The answer is 7

Step-by-step explanation:

5x+2x=49-2x+2x

7x=49+0

7x/7=49/7

x=7

The number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Five times a number is 49 greater than the product of 2 and the opposite of the number.

Let the number is x:

From the statement "Five times a number is 49 greater than the product of 2 and the opposite of the number" we can frame a linear equation in one variable:

5x + 2x = 49 - 2x + 2x

After solving the above equation:

7x = 49

x = 49/7

x = 7

Thus, the number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

False

Step-by-step explanation:

I don't know much about math but

if u say 5+5= 10

5+10=15

nothing make 18 so

it false

Answer:

Step-by-step explanation:

a = 12 mm

Surface area of cube = 6a²

                                   = 6 * 12 * 12

                                   = 864 cubic mm

Answer:

45mm

Step-by-step explanation:

First, find the whole area of the square, which is 225 mm squared.

Then, we have to find the area of the shaded trapezoid. Remember, the area of the trapezoid is [tex]\frac{h(b^{1}+b^{2} }{2}[/tex]

We get the area of the trapezoid to be 180 mm.

We subtract 180 from 225 mm to get 45 mm as our answer.

Answer:

the answer is b

Step-by-step explanation:

you have to divide 6.50 by 5 to see how much 1 bar will cot

6.50 divided by 5 is 1.3

Answer:

B=5.44 i think hopefully

Answer:

3.56 cm.

Step-by-step explanation:

1/3 π r^2 h = V

1/3 π (5.13)^2 h  = 98

h = 98 / (1/3 π (5.13)^2)

=  98 / 27.55899

= 3.556.

Cone is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

If the volume and radius of a cone are 98 cm and 5.13 cm.

The height of the cone is 3.56 cm.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is 1/3πr²h.

Example:

The cone has a radius of 2 cm and a height of 3cm.

The volume of a cone:

= 1/3 x 3.14 x 4 x 3

= 12.56 cm³

We have,

Cone:

Volume = 98 cm

Radius = 5.13 cm

Height of the cone = h

The volume of a cone:

V = 1/3πr²h

98 = 1/3 x π x (5.13)² x h

[ Take π = 3.14 ]

98 = 1/3 x 3.14 x 26.31 x h

Multiply 3 on both sides.

98 x 3 = 3.14 x 26.31 x h

Divide both sides by (3.14 x 26.31).

h = (98 x 3) / (3.14 x 26.31)

h = 294 / 82.61

h = 3.56 cm

Thus,

If the volume and radius of a cone are 98 cm and 5.13 cm.

The height of the cone is 3.56 cm.

Learn more about cones here:

https://brainly.com/question/13798146

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Answer:

You are supposed to correct the equation here not solve it.

Answer:

Step-by-step explanation: potential energy Ep = mgh

And g = 9.81 m/s². Ep = 0.0008 kg·9.81 m/s²· 22 m , unit is J

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=4x-1

y-1=4(x-7)

y-1=4x-28

y=4x-27

Answer:

first type of fruit juice (35%) = 4

second type of fruit juice (100%) = 4

Step-by-step explanation:

4×35 = 140

4×100 = 400

400-140 = 260

Answer:

214

Step-by-step explanation:

Answer:

so, if 10 men can do it In 30 days, that means a total of 300 "man days".

300 man days divided by 25 days would be 12- so 2 more men.

Answer:

Circle Pentagon Triangle Rectangle

Answer:

ΔFGH≅ΔYZX

Step-by-step explanation:

Answer:

5.5 Gallons

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - x = -5

y =  x-5

y = 2x² - 3x - 5

x-5 = 2x² - 3x - 5

2x² - 4x = 0

x² - 2x  = 0

x(x - 2) = 0

x = 2, 0

(x,y) = (2,-3), (0,-5)

Answer:

circumference = 194.68

Step-by-step explanation:

c = π2r

c = (3.14)(2)(31) = 194.68