9/11 times 7/10 simplified

Elden [556K]

59 is a prime number, so no two intergers can multiply together to make it.

5 0

3 years ago

Carson drives to school the same way each day and there are two independent traffic lights on his trip to school. He knows that

Lorico [155]

Answer:The correct answer is A, 14%.

Step-by-step explanation:

All you have to do is take the 30% chance of you HAVING to stop at the first light and find the chance that you won't have to stop at the first light, which is 70%, or .7. Then you take the chance of having to stop at the second light which is 80%, and find the probability of NOT having to stop there, which is 20%, or .2. Then you multiply the probabilities of not having to stop, which equals to .14.

8 0

4 years ago

Read 2 more answers

The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$

4 0

3 years ago

Tisha and her academic team are working to go to state finals. They must have a certain number of points to advance. They have h

kolbaska11 [484]

Answer:

$b=\frac{T-a-c-d}{3}$

b = (T - a - c - d) / 3

Step-by-step explanation:

Let T be the total number of points required to advance.

a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:

$T=a+c+d+3b$

Isolate b in order to find out how many points they need in the district match:

$T=a+c+d+3b\\3b=T-a-c-d\\b=\frac{T-a-c-d}{3}$

They need to score (T - a - c - d)/3, in the district match in order to win.

4 0

3 years ago

NEED HELP WITH A MATH QUESTION

Lady_Fox [76]

Answer:

$\dfrac{18}{5}$

Step-by-step explanation:

The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.

Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality

15<5x-3<17

Add 3 to this inequality

15+3<5x-3+3<17+3

18<5x<20

Divide it by 5:

$\dfrac{18}{5}$

3 0

4 years ago