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3 years ago

Simplify 2 times (3 1/3+1 1/6

Mathematics

1 answer:

anyanavicka [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Step 1: Simplify 1/3 into 2/6

Step 2: Do 3 2/6+ 1 1/6= 4 3/6

Step 3: 4 3/6 x 2= 9

Hope this helps!

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

2 years ago

Approximately how many people make between $30,000 and $66,000

Alja [10]

Answer:

approximately 1 to 7.674 billion people

Step-by-step explanation:

cause theres 7.674 billion peepsin the world

8 0

2 years ago

Justin used 3/4 of a gallon of paint on 3/4 of a wall. How many gallons does he need for one wall?

blondinia [14]

Answer:

Step-by-step explanation:

1/4

7 0

3 years ago

Read 2 more answers

Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of

vaieri [72.5K]

We want to find a graph that represents Noah's average speed.

We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:

s = 12ft/6s = 2ft/s

Then we can define a linear equation:

y = (2ft/s)*x

As the distance that Noah travels in x seconds.

The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.

If you want to learn more, you can read:

brainly.com/question/11897796

6 0

2 years ago

One card is drawn from a well shuffled deck of 52 cards find the probability of getting a red 10

Julli [10]

The probability of getting a red card is 1/2 and the probability of getting a 10 is 4/52. To find the probability of getting both a red card and a 10, multiply the two.

(1/2)(4/52) = 4/104
4/104 = 1/26

Therefore, the probability is 1/26

7 0

2 years ago