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lbvjy [14]
3 years ago
10

1-x-7/3=x+9/4-3x-8/12

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
8 0

Answer:

x = 2 11/12

Step-by-step explanation:

Multiply the equation by 12. This eliminates fractions.

... 12 -12x -28 = 12x +27 -36x -8

Collect terms.

... -16 -12x = -24x +19

Add 24x+16

... 12x = 35

Divide by the coefficient of x

... x = 35/12 = 2 11/12

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A car travels at a speed of 55 miles per hour. How far will it travel in 5 hours?
kiruha [24]

Answer:

55*5=275

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
. The cost of 2 pizzas and 1 burger is ₹ 450. Write a linear equation for this situation and draw its graph.​
Akimi4 [234]

Answer:

The linear equation is;

Y = 450 - 2·X

Please find the included graph

Step-by-step explanation:

Whereby we have the following relation;

The cost of 1 pizza = X

The cost of 1 burger = Y

Hence;

450 = Y + 2·X

Which gives;

Y = 450 - 2·X

The linear equation for the situation is therefore as presented above

The graph of the linear equation can be plotted using the assumed data as follows;

Y,           X

1,           448

2,          446

3,         444

4,          442

5,          440

6,          438

7,          436

8,          434

9,          432

10,          430

11,          428

12,          426

13,          424

14,          422

15,          420

16,            418

8 0
2 years ago
Can someone please help me I really need help please help me
scZoUnD [109]

Answer:

18.87 square cm.

Step-by-step explanation:

The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.

Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.

The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.

The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.

1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.

6.8672588 + 12 = 18.8672588, or 18.87 square cm.

Hope this helps!

3 0
2 years ago
Read 2 more answers
The navy contract was for 2,314 devices and took 23 workers two weeks (40 hours per week) to complete. The army contract was for
AlekseyPX

Answer:

0.408 hour / device

Step-by-step explanation:

As we know The army contract was for 4,707 devices that were produced by 16 workers which means 1 worker can produce: \frac{4707}{16} ≈294 devices in 3 weeks.

<=> 294 devices= 3*40 hours

<=> 294 devices = 120 hours

<=> 1 device = 120/294 = 20/49 ≈ 0.408 hour

So it takes 0.408 hour for a worker to finish producing 1 devicein the army contract

3 0
2 years ago
Find the missing side Lengths (70 POINTS!)
Deffense [45]

Answer:

The sides are as follows: x=18,\,\,\,y=9\sqrt{3}

Step-by-step explanation:

Starting with the side y, we can use the tan to solve for y:

\tan 30^\circ = \frac{9}{y}\implies y = \frac{9}{\tan 30^\circ}={9}\sqrt{3}

The side x can be determined using sin:

\sin 30^\circ = \frac{9}{x}\implies x = \frac{9}{\sin 30^\circ}= 18

So, the sides as as follows: x=18,\,\,\,y=9\sqrt{3}

(you can also verify this result is correct using the Pythagorean theorem)

8 0
2 years ago
Read 2 more answers
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