Hayden has 7 shells . Elly has 5 fewer shells than Hayden . Beth has 2 shells . How many shells do they have in all?

The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original n

muminat

Answer:

Original number is 47

Step-by-step explanation:

Given: The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121.

To find: the original number

Solution:

Let x denotes digit at ones place.

As the tens digit is three less than the units digit,

Digit at tens place = $x-3$

Original number = $10(x-3)+x=11x-30$

When digits are reversed,

Reversed number = $10x+(x-3)=11x-3$

As the sum of the reversed number and the original number is 121,

$11x-30+11x-3=121\\22x-33=121\\22x=154\\x=\frac{154}{22}\\=7$

So,

original number = $11x-30=11(7)-30=77-30=47$

8 0

3 years ago

Before you answer, make sure to do a step by step explanation, if you forget, it's whatever. I'll give crowns to the people that

katen-ka-za [31]

Answer: 36.84

(lmk if this isnt right)

Step-by-step explanation:

To find the perimeter of the rectangle:

3+3+3+3+3+3=18

or

3(6)=18

To find the diameter of the circle:

12-(3+3)

12-6=6

You can combine the 2 half circles to make 1 full circle since they both have the same diameter. Use the circumference formula to solve.

C=πd

Substitute

C=3.14(6)

Multiply

C=18.84

Add the perimeter of the rectangle and the circumference of the circle.

18+18.84=36.84

4 0

3 years ago

חן

N76 [4]

Answer:

Step-by-step explanation:

This is a fascinating question. It turns out to be true because of the relationship between a 30 degree angle and a 60 degree angle

The answer is that the product of sin30*sin60 = cos(30)*cos(60). This happens because sin(60) = cos(90-60) = cos(30)

Other angles will do the same thing sin36 * sin54 = cos(54)*cos(36)

8 0

2 years ago

The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is decreasing at a rate of 2.1 in/s. At

givi [52]

Answer:

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

Step-by-step explanation:

Geometrically speaking, the volume of the right circular cone ( $V$ ), in cubic inches, is defined by the following formula:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h$ (1)

Where:

$r$ - Radius, in inches.

$h$ - Height, in inches.

Then, we derive an expression for the rate of change of the volume ( $\dot V$ ), in cubic inches per second, by derivatives:

$\dot V = \frac{1}{3}\cdot \pi \cdot (2\cdot r\cdot h \cdot \dot r + r^{2}\cdot \dot h)$ (2)

Where:

$\dot r$ - Rate of change of the radius, in inches per second.

$\dot h$ - Rate of change of the height, in inches per second.

If we know that $r = 120\,in$ , $\dot r = 1.5\,\frac{in}{s}$ , $h = 107\,in$ and $\dot h = -2.1\,\frac{in}{s}$ , then the rate of change of the volume is:

$\dot V \approx 8670.796\,\frac{in^{3}}{s}$

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

8 0

3 years ago

( using the quadrata formula solve 282 +15% +750

Molodets [167]

Step-by-step explanation:

Q.282 +15% +750

282 +15 /100+750

282+3/20+750

1032+3/20

20643/20

5 0

3 years ago