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garri49 [273]
3 years ago
13

Here is a diagram and its corresponding equation. Find the solution to the equation.

Mathematics
1 answer:
fomenos3 years ago
6 0

Answer:

The solution to the equation is:

  • <u>x = 2.5</u> or <u>x = 5/2</u>

Step-by-step explanation:

To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:

  • Equation: 4(x+7) = 38

And we solve:

  • 4x + 28 = 38 (we multiply 4 by x and 7)
  • 4x = 38 - 28 (we pass the +28 to subtract to the right side of the equality and operate)
  • x = 10 / 4 (we pass the 4 that is multiplying to divide to the right side of the equality)
  • <u>x = 2.5</u> (we divide)

As you can see, <u><em>the solution of the equation is </em></u><u><em>x = 2.5</em></u><u><em> or </em></u><u><em>x = 5/2</em></u>

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Answer:

B :- 15

Step-by-step explanation:

Given:

A package of red rose contains = 3 pieces

A package of white rose contains = 5 pieces

If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?

Solution:

As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of  red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.

Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24

Multiples of 5 :- 5, 10, 15, 20, 25

<em>Lowest common multiple is 15, that means </em><em>15 is the minimum number of pieces of each that can be purchased to make bouquets.</em>

And number of packets of red rose have to purchase = 3 \times <em><u>5</u></em> = 15, 5 packages.

And number of packets of white rose have to purchase = 5 \times <em><u>3</u></em> = 15 , 3 packages.

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3 years ago
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The radius of a sphere is 5 yards. Find the<br> volume of the sphere.
FinnZ [79.3K]

Answer:

V = 523.6 yd³

Step-by-step explanation:

The equation for the volume of a sphere of radius r is

V = (4/3)πr³

and if we substitute 5 yds for r, we get

V = (4/3)*π*(5 yd)³, or

V = (4/3)·π·125 yd³, or approxomately

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Answer:

  m∠A ≈ 103°

Step-by-step explanation:

Enough information is shown for us to be able to use the Law of Sines to find the angle. That tells us ...

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  A = 77.1° or 102.9°

The claim is that the figure is drawn to scale, so we can assume that A is an obtuse angle:

  m∠A ≈ 103°

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The sum of angles A and B must be 180° -13° = 167°. Since angle A is the largest, it must be more than half this value, or more than 83.5°. That means, we must choose the obtuse angle for A, rather than the acute angle.

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