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2 years ago

Charles has 24 marbels .he has 6 more yellow marbles than blue marbels

Mathematics

2 answers:

cricket20 [7]2 years ago

6 0

Answer:

24 - 6 =

Step-by-step explanation:

mafiozo [28]2 years ago

5 0

Answer: 2.N+(N+6)=24,where N is the number of blue marbles.

Step-by-step explanation: Let N represent the number of blue marbles and Y represent the number of yellow marbles, then:

24 = N + Y

But we know that there are 6 more yellow marbles than blue marbles, therefore:

Y = N + 6

So we have

24 = N + (N + 6)

which is the correct equation.

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Find the length of side x in simplest radical form with a rational denominator<br><br>

HACTEHA [7]

Answer:

$x = \sqrt{2}$

Step-by-step explanation:

$\tan 30 \degree = \frac{x}{ \sqrt{6} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{ \sqrt{6} } \\ \\ x = \frac{ \sqrt{6} }{ \sqrt{3} } \\ \\ x = \frac{ \: \sqrt{3} \times \sqrt{2} }{ \sqrt{3} } \\ \\ x = \sqrt{2}$

5 0

3 years ago

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 30 ft/s. Its height

Crank

Answer:

a) h = 0.1: $\bar v = -11\,\frac{ft}{s}$ , h = 0.01: $\bar v = -10.1\,\frac{ft}{s}$ , h = 0.001: $\bar v = -10\,\frac{ft}{s}$ , b) The instantaneous velocity of the ball when $t = 2\,s$ is $-10$ feet per second.

Step-by-step explanation:

a) We know that $y = 30\cdot t -10\cdot t^{2}$ describes the position of the ball, measured in feet, in time, measured in seconds, and the average velocity ( $\bar v$ ), measured in feet per second, can be done by means of the following definition:

$\bar v = \frac{y(2+h)-y(2)}{h}$

Where:

$y(2)$ - Position of the ball evaluated at $t = 2\,s$ , measured in feet.

$y(2+h)$ - Position of the ball evaluated at $t =(2+h)\,s$ , measured in feet.

$h$ - Change interval, measured in seconds.

Now, we obtained different average velocities by means of different change intervals:

$h = 0.1\,s$

$y(2) = 30\cdot (2) - 10\cdot (2)^{2}$

$y (2) = 20\,ft$

$y(2.1) = 30\cdot (2.1)-10\cdot (2.1)^{2}$

$y(2.1) = 18.9\,ft$

$\bar v = \frac{18.9\,ft-20\,ft}{0.1\,s}$

$\bar v = -11\,\frac{ft}{s}$

$h = 0.01\,s$

$y(2) = 30\cdot (2) - 10\cdot (2)^{2}$

$y (2) = 20\,ft$

$y(2.01) = 30\cdot (2.01)-10\cdot (2.01)^{2}$

$y(2.01) = 19.899\,ft$

$\bar v = \frac{19.899\,ft-20\,ft}{0.01\,s}$

$\bar v = -10.1\,\frac{ft}{s}$

$h = 0.001\,s$

$y(2) = 30\cdot (2) - 10\cdot (2)^{2}$

$y (2) = 20\,ft$

$y(2.001) = 30\cdot (2.001)-10\cdot (2.001)^{2}$

$y(2.001) = 19.99\,ft$

$\bar v = \frac{19.99\,ft-20\,ft}{0.001\,s}$

$\bar v = -10\,\frac{ft}{s}$

b) The instantaneous velocity when $t = 2\,s$ can be obtained by using the following limit:

$v(t) = \lim_{h \to 0} \frac{x(t+h)-x(t)}{h}$

$v(t) = \lim_{h \to 0} \frac{30\cdot (t+h)-10\cdot (t+h)^{2}-30\cdot t +10\cdot t^{2}}{h}$

$v(t) = \lim_{h \to 0} \frac{30\cdot t +30\cdot h -10\cdot (t^{2}+2\cdot t\cdot h +h^{2})-30\cdot t +10\cdot t^{2}}{h}$

$v(t) = \lim_{h \to 0} \frac{30\cdot t +30\cdot h-10\cdot t^{2}-20\cdot t \cdot h-10\cdot h^{2}-30\cdot t +10\cdot t^{2}}{h}$

$v(t) = \lim_{h \to 0} \frac{30\cdot h-20\cdot t\cdot h-10\cdot h^{2}}{h}$

$v(t) = \lim_{h \to 0} 30-20\cdot t-10\cdot h$

$v(t) = 30\cdot \lim_{h \to 0} 1 - 20\cdot t \cdot \lim_{h \to 0} 1 - 10\cdot \lim_{h \to 0} h$

$v(t) = 30-20\cdot t$

And we finally evaluate the instantaneous velocity at $t = 2\,s$ :

$v(2) = 30-20\cdot (2)$

$v(2) = -10\,\frac{ft}{s}$

The instantaneous velocity of the ball when $t = 2\,s$ is $-10$ feet per second.

8 0

3 years ago

Erica solved the equation -5x - 25 = 78; her work is shown below. Identify the error and were it was made

Nata [24]

Answer:

Step-by-step explanation:

It's A because she subtracted a negative and that only make a bigger negative where she should have added

7 0

2 years ago

What is a conditional statement? what's an example for one?

tatiyna

Answer:

A statement that helps to condition

Step-by-step explanation:

5 0

2 years ago

The surface area of a cylinder is 408.2 square feet. The area of one of the bases is 78.5 square feet. Find the height of the cy

Phantasy [73]

Answer: The height of the cylinder is 8 feet.

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

The area of one of the bases is 78.5 square feet. This means that

78.5 = 3.14 × r²

r² = 78.5/3.14 = 25

r = √25 = 5

The formula for determining the surface area of a cylinder is expressed as

Surface area = 2πr² + 2πrh

The surface area of a cylinder is 408.2 square feet. Therefore,

408.2 = 2 × 3.14 × 5² + 2× 3.14 × 5 × h

408.2 = 157 + 31.4h

31.4h = 408.2 - 157

31.4h = 251.2

h = 251.2/31.4

h = 8 feet

6 0

3 years ago