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3 years ago

6(x - 6) +2x = 6(2 - 3x) + 4x - 2x

Mathematics

1 answer:

gogolik [260]3 years ago

4 0

Answer:

x=2

Step-by-step explanation:

6(x-6)+2x=6(2-3x)+4x-2x

6x-36+2x=12-18x+4x-2x

8x-36=-16x+12

24x-36=12

24x=48

x=2

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Please Help!

JulijaS [17]

Answer: $8865=6000(1+\frac{5\times t}{100})$

Step-by-step explanation:

Given

Liam deposited $P=\$\ 6000$

Rate of interest is $R=5\ \%$

If the amount after t years is $A=\$\ 8865$

Simple interest is given by

$S.I.=\dfrac{P\times R\times t}{100}$

And amount is

$A=P+S.I.$

$A=P(1+\frac{R\times t}{100})$

Substituting values we get

$8865=6000(1+\frac{5\times t}{100})$

$1.4775=1+\frac{5\times t}{100}$

$0.4775\frac{5\times t}{100}$

$5t=47.75$

$t=\frac{47.75}{5}=9.55\ years$

8 0

3 years ago

A circle is divided into 9 uneven "pie" shaped pieces. Each section is labeled 1, 2, ... , 9. The circle is then spun and the nu

8_murik_8 [283]

There are three outcomes of 4 out of eighteen outcomes, so the fraction of angle of spinner numbered 4 is $\frac{3}{8}$

7 0

3 years ago

Read 2 more answers

A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed. If the tot

Bad White [126]

Answer:

Width 150 meters.

Length = 350 meters.

Step-by-step explanation:

Let us assume the width of the fence = k meters

So, both sides = k + k = 2k meters

Also, the TOTAL fencing length = 600 m

So, the one side length of the fence = (600 - 2 k) meters

AREA = LENGTH x WIDTH

⇒ A(k) = (600 - 2k) (k)

or, A = -2k² + 600 k

The above equation is of the form: ax² +bx + C

Here: a = - 2 , b = 600 and C = 0

As a< 0, the parabola opens DOWNWARDS.

Here, x value is given as: $x = \frac{-b}{2a}$

Solving for the value of k similarly, we get:

$k = \frac{-b}{2a} = \frac{600}{2(-2)} = 150$

Thus the desired width = k = 150 meters

So, the desired dimensions of the plot is width 150 meters.

And length = 650 - 2k = 650 - 300 = 350 meters.

5 0

3 years ago

Hiros family lives 448 kilometers from the beach.Each of the 5 adults drove the family van an equal distance to get to and from

Drupady [299]

Answer:

179.2km

Step-by-step explanation:

The distance from their house to the beach is 448km. Now they have to drive to and from the beach. The total distance traveled by the family is 448km + 448km.

This is equal to 896km. Now we have 5 adults who took their turns to drive and they drove the same distance. The total distance traveled by each adult will be 896/5 = 179.2km

Hence, each adult in the family drove a distance of 179.2km

3 0

3 years ago

Determine the measure of ∠Y. images attached

Gwar [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

$\tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...$

We have the final answer as

Hope this helps you

5 0

3 years ago

Read 2 more answers