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3 years ago

6

bobby takes 66 candies from a jar and mike takes the remaining candys. if bobby gives 24 candies to mike the number of candies m

ike has would increase by 60% how many candnies must bobby give to mike so that they will have the same number of candies

1 answer:

Luda [366]3 years ago

4 0

Answer:

13 candies

Step-by-step explanation:

See attached image.

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The number of blocks has 9 in the ones place. The numberin the hundreds place i is one more that the numberin the tens place. Th

marysya [2.9K]

Answer:

There are 659 blocks

Step-by-step explanation:

The number of blocks has 9 in the ones place.

The number in the hundreds place is one more that the number in the tens place.

Let the number in the tens place is x.

Number in the hundreds place = 1+x

These two numbers equal 11.

ATQ,

x+1+x = 11

2x + 1 = 11

2x = 10

x = 5

No in the tens place = 5

No. in the hundreds place = 1+5 = 6

Hebnce, the number is 659.

5 0

3 years ago

A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re

ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which $\theta$ is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = $2\pi$ radians

So, the change in angle with respect to t ( time ),

$\frac{d\theta}{dt}=8\pi\text{ radians per min}$

Let x be the distance of beam from P,

$\implies \tan \theta = \frac{x}{2}$

Differentiating with respect to x,

$\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}$

$(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}$

$(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}$

If x = 1 km,

$(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}$

$\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}$

$\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}$

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

7 0

4 years ago

karen deposited $8500 in a college savings account for her grandson. the account earns an annual simple interest rate of 6.5%. h

Umnica [9.8K]

8500 x 6.5 x 10 + 8500 =
8500 x 6.5 + 8500 =
8500 x 6.5/100 + 8500 =
8500 x 13/20 + 8500 =
110500/20 + 8500 =
5525 + 8500 =
14025

3 0

3 years ago

The perimeter of a square is 4 times as great as the length of any of its sides. Determine if the perimeter of a square is propo

Angelina_Jolie [31]

The perimiter is 4 times as great as the lenght of any of its sides means that:

4 * a (perimiter) = 4 * a (4 times any of the sides)

It means that one side is 1/4 of the perimeter:

a = 1/4 * 4a
a = a

Answer: Perimeter is proportional to the side length by Perimeter = 4 * Sides or Side = 1/4 Perimeter.

8 0

3 years ago

A coral reef grows 0.12 m every week how much does it grow in 5 weeks

densk [106]

0.12m(x)=?
0.12m × 5 weeks = 6m

4 0

4 years ago