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tester [92]
3 years ago
8

0.3(10-5x)=31.5(8x+9)

Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

<h2>x = - 1.106</h2>

Step-by-step explanation:

0.3(10-5x)=31.5(8x+9)

<u>Expand the terms in the bracket</u>

That's

3 - 1.5x = 252x + 283.5

<u>Subtract 3 from both sides</u>

3-3 - 1.5x = 252x + 283.5 - 3

-1.5x = 252x + 280.5

<u>Subtract 252x from both sides</u>

That's

- 1.5x - 252x = 252x - 252x + 280.5

- 253.5x = 280.5

<u>Divide both sides by -253.5</u>

We have the final answer as

x = - 1.106

Hope this helps you

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An architect is making a scale model of a building. The model is 18.5 inches wide and 36.5 inches tall. If the actual building i
Nastasia [14]

Answer:

The height of the building is 730 feet.

Step-by-step explanation:

370 x 12 = 4,440 inches

4,440 ÷ 18.5 = 240 inches

240 x 36.5 = 8,760 inches = 730 feet

3 0
3 years ago
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machin
Schach [20]

Answer:

3 machine

Step-by-step explanation:

It is given that 6 machine each working at the same rate can complete the work in 12 days

We the has to complete in 8 days

Let we need x extra machine to complete the work in 8 days

So total number of machines =x+6

Now according to man work day equation M_1D_1=M_2D_2

6\times 12=(x+6)\times 8

8x+48=72

8x=24

x=3 machine

7 0
3 years ago
What is the area of the shaded region below?<br> 7 m<br> 30 m<br> 7 m<br> 21 m
Rama09 [41]

Answer:

322.28

A

Step-by-step explanation:

Area of the rectangle

L = 30

W = 21

Area = 30 * 21

Area = 630

Area of the circles

Radius = 7 m

Area = pi r^2

Area = 3.14 * 7^2

Area = 153.86 m^2

Area of both circles = 307.72

Area of the Shaded Region

Area of shaded region = area of the rectangle - area of 2 circles.

Area of Shaded Region = 630 - 307.72

Area of Shaded Region = 322.28

5 0
2 years ago
What is the solution to the inequality?
fiasKO [112]
B. x > -4 I did da test. That's da correct one :-)
7 0
3 years ago
How is it that a square is a rectangle but a rectangle ins't a square?
Helen [10]
Beacuse  <span>A square by definition is a "plane figure having four equal sides." Rectangles' sides are not equal and hence cannot be a square. 

A rectangle by definition is a "four-sided plane figure with 4 right angles" - which also implies that a square can be a rectangle because it is also a four-sided plane figure with 4 right angles...... hope this helps</span>
5 0
3 years ago
Read 2 more answers
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