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2 years ago

14

Write 54 8 as a mixed number. Give your answer in its simplest form.

1 answer:

Finger [1]2 years ago

6 0

Answer:

6 3/4

Step-by-step explanation:

to write 54/8 into the mixed number and in the simplest form

we first simpify 54/8 which is 27/4

to convert 27/4 into a mixed number we first see how many times does 4 goes into 27 with the remainder. 4 goes into 27 6 times with the remainder of 3. 4 goes into 27 6 times so, 6 will be the whole part 3 remainder will be the numerator and 4 will be the denominator. like 6 $\frac{3}{4}$

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a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and

fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

$x(t) = -4.9t^{2} + 9.8t$

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format $x(t) = at^{2} + bt + c$

The vertex is the point $(t_{v}, x(t_{v}))$ , in which

$t_{v} = -\frac{b}{2a}$

In this question:

$x(t) = -4.9t^{2} + 9.8t$

So $a = -4.9, b = 9.8$

Vertex:

$t_{v} = -\frac{9.8}{2*(-4.9)} = 1$

The time taken for the upward motion is 1 second.

$x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9$

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

$-4.9t^{2} + 9.8t = 0$

$4.9t^{2} - 9.8t = 0$

$4.9t(t - 2) = 0$

$4.9t = 0$

$t = 0$

Or

$t - 2 = 0$

$t = 2$

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0

2 years ago

Use multiples to write two fractions equivalent to 9/10

pochemuha

18/20 and 27/30 hope this helps

8 0

2 years ago

Read 2 more answers

What is the interest rate of each investment if The annual interest on a $17,000 investment exceeds the interest earned on an $8

Butoxors [25]

<u>Solution-</u>

Let's assume, the rate of interest of $8000 is x%,

then the rate of interest of $17000 is (x+0.3x) =1.3x%

Interest earned by $8000,

$i_1=\frac{8000\times x\times 1}{100} =80x$

Interest earned by $17,000,

$i_2=\frac{17000\times 1.3x\times 1}{100} =221x$

According to the question,

$\Rightarrow i_1=i_2+276$

$\Rightarrow 221x=80x+276$

$\Rightarrow 221x-80x=276$

$\Rightarrow 141x=276$

$\Rightarrow x=1.96$

∴ Rate of interest of $8000 is 1.96% and rate of interest of $17000 is (1.3×1.96) =2.55%

3 0

2 years ago

What fractional part of a pound is an ounce

marysya [2.9K]

One ounce is one-sixteenth of a pound since there is 16 ounces in a pound.

6 0

2 years ago

Find the average retail price for a 4-year old V6 four-door sedan with air conditioning, power mirrors, leather seats, power sun

ELEN [110]

Answer:

$8502

Step-by-step explanation:

you need to gather a compilation of prices and add them all up. You then divide that total by the number of prices you gathered.

3 0

2 years ago