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2 years ago

When a number is decreased by 2.6%, the result is 83. What is the original number to the nearest tenth?

Mathematics

1 answer:

LenKa [72]2 years ago

6 0

Answer:

85.2

Step-by-step explanation:

we can represent this in an equation where the initial value is going to be and to this we will subtract 2.6% of it

x - x * 2.6/100 = 83

x - 0.026x = 83

0.974x = 83

x = 83 / 0.974

x = 85.2156

we round to the nearest tenth and finally, we get that the result is 85.2

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What is the next term in the sequence if the first four are as follows.

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3 years ago

A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight?

Nadya [2.5K]

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3 years ago

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

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

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

$4.9t(t - 2) = 0$

$4.9t = 0$

$t = 0$

$t - 2 = 0$

$t = 2$

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.

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2 years ago

What is the volume of the prism below

lesya [120]

Answer:

B. 196 units squared

Step-by-step explanation:

The formula of a prism is V = Bh

= (1/2 bh) h

=(1/2 x 7 x 14) x 4

= (3.5 x 14) x 4

=49 x 4

= 196 units squared

I haven't did these type of questions in a while, but i think my answer is correct. Hope it helps :)

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