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2 years ago

Ben is 39 years old and Ishaan is 3 years old. How many years will it take until Ben is only 4 times as old as Ishaan?

Mathematics

1 answer:

Evgen [1.6K]2 years ago

4 0

Answer:

$9\ years$

Step-by-step explanation:

Let

x------> the number of years

we know that

$(39+x)=4(3+x)$

Solve for x

$39+x=12+4x$

$4x-x=39-12$

$3x=27$

$x=9\ years$

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A large mixing tank currently contains 225 225 gallons of water, into which 5 5 pounds of sugar have been mixed. A tap will open

kkurt [141]

Answer: Hello mate!

you put every number twice, I will consider that in this problem we have:

225 gallons of water initial with 5 pounds of sugar. then each minute you add 20 gallons of water and 4 pounds of sugar.

the concentration is defined as pounds of sugar divided by the gallons of water. The gallons of water are 225 initially and 20 per minute, this is written as 225 + 20tt, where t is the minutes. The pounds of sugar is 5 + 4 per minute, then this can be written as 5 + 4t

$C(t) = \frac{5 + 4t}{225 + 20t}$

this is the equation that describes the concentration in pounder per gallon after t minutes.

4 0

3 years ago

Consider this composite figure made of a cone and a cylinder. A cone has a height of 8 centimeters and radius of 3 centimeters.

dangina [55]

The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.

Step-by-step explanation:

The given is,

Composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and radius of 3 centimeters.

A cylinder has a height of 7 centimeters and radius of 3 centimeters.

Step:1

Volume of composite figure = Volume of Cone +

Volume of cylinder............(1)

Step:2

Formula for volume of cone,

$Volume of cone, V_{cone} = \pi r^{2} \frac{h}{3}$ ....................(2)

Where, r - Radius of cone

h - Height of cone

From the given,

r = 3 centimeters

h = 8 centimeters

Equation (2) becomes,

$= \pi (3^{2} )(\frac{8}{3})$

$=\pi (9)(2.667)$

= (3.14 × 9 × 2.667) (∵ $\pi$ = 3.1415)

= 75.4

$Volume of cone, V_{cone}$ = 75.4 cubic centimeters

Step:3

Formula for volume of cylinder,

$Volume of cone, V_{cone} = \pi r^{2} h$ ....................(2)

Where, r - Radius of cylinder

h - Height of cylinder

From the given,

r = 3 centimeters

h = 7 centimeters

Equation (2) becomes,

$= \pi (3^{2} )(7)$

$=\pi (9)(7)$

= (3.14 × 9 × 7) (∵ $\pi$ = 3.1415)

= 197.92

$Volume of cylinder, V_{cylinder}$ = 197.92 cubic centimeters

Step:4

Equation (1) becomes,

Volume of composite figure = 75.4 + 197.92

= 273.32 cubic centimeters

Result:

The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.

3 0

2 years ago

Equation practice with angle addition hlp

IgorC [24]

Answer:

∠AOB = 139°

Step-by-step explanation:

The 2 angles form a straight angle and sum to 180°, that is

∠AOB + ∠BOC = 180 ← substitute values

8x + 51 + 6x - 25 = 180, that is

14x + 26 = 180 ( subtract 26 from both sides )

14x = 154 ( divide both sides by 14 )

x = 11

Hence

∠AOB = 8x + 51 = (8 × 11) + 51 = 88 + 51 = 139°

3 0

3 years ago

Read 2 more answers

You are told that a 95% confidence interval for a population proportion is (0.3775, 0.6225) What was the sample proportion that

Maru [420]

The mean of the confidence interval is (0.3775 + 0.6225) / 2 = 0.5. Therefore, the standard deviation of the proportion would have been sqrt[0.5*(1 - 0.5) / n], where n is the sample size. This expression simplifies to sqrt(0.25/n).

A 95% CI has a corresponding z = 1.96, so since the distance from 0.5 to 0.3775 (or 0.6225 to 0.5) is equal to 0.1225. Therefore, if we divide 0.1225 / 1.96 = 0.0625, we get the value of the SD, and this should be equal to sqrt(0.25/n).

0.0625 = sqrt(0.25/n)
n = 64
This means that the proportion was 0.5 and the sample size was 64.

6 0

3 years ago

Identify the fraction as proper, improper, or mixed 4 3/4

seraphim [82]

4 3/4 is a mixed number because it consists of a whole number and a fraction.

6 0

2 years ago