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Naddik [55]
3 years ago
11

1/4x +4 = 1/2 solve with explanation

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer:

<h3>x = -14</h3>

Step-by-step explanation:

Given the equation

1/4x +4 = 1/2

Solving for x

Subtract 4 from both sides

1/4x +4 - 4 = 1/2 - 4

1/4 x  = (1-8)/2

1/4 x = -7/2

Cross multiply

2x = -7*4

2x = -28

x = -28/2

x = -14

Hence the value of x is -14

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The radii of two circles are in the ratio of 3 to 1. Find the area of the smaller circle if the area of the larger circle is 27
Naddik [55]
ANSWER
3\pi sq.\: in.

EXPLANATION

Let R be the radius of the bigger circle and r, be the radius of the smaller circle.

Then their ratio is given as,

R:r=3:1

We can rewrite it as fractions to get,

\frac{R}{r} = \frac{3}{1}

We make R the subject to get,

R = 3r

The area of the bigger circle can be found using the formula,

Area=\pi {r}^{2}

This implies that,

Area=\pi ({3r})^{2}

Area=9\pi {r}^{2}

But it was given in the question that, the area of the bigger circle is 27π.

27\pi=9\pi {r}^{2}

We divide through by 9π to get,

3 = {r}^{2}

This means that,
r = \sqrt{3}

The area of the smaller circle is therefore

= \pi {( \sqrt{3}) }^{2}

= 3\pi
8 0
3 years ago
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Find the equation of the line.<br> Use exact numbers<br> y = _ x + _
liraira [26]

Answer:

y = mx + b

Step-by-step explanation:

This is the slope formula equation

8 0
3 years ago
What is the value of (20−1+52−0)−1×5?
Effectus [21]
19 + 52 = 81. 81 - 1 x 5 = 76.
7 0
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Given that n is an integer and 0 &lt; 4n &lt;30, what is the sum of all possible integer values of n
Anvisha [2.4K]

n can be all the way upto 7 as 8 x4 = 32 which is higher than 30. The lowest possible diggit is 1.

n = 1, 2, 3, 4, 5, 6, 7

1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

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8 0
3 years ago
Solve the following system of equations. 1.) x - 2y = 6 2.) 2x - 4y = 10
k0ka [10]
One way to solve this system of equations would be by substitution. It would helpful to write these equation in the form y=mx + b in order to substitute one equation to the other. We do as follows:

<span>1.) x - 2y = 6
y = x/2 -3

2.) 2x - 4y = 10
y = x/2 - 5/2

As we look at the rearranged equations, we see that their slopes are equal which means they are parallel lines so they do not intersect at one point. There is no solution for this system of equations.</span>
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3 years ago
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