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kumpel [21]
3 years ago
9

The product of two positive numbers is 1,800. One number is twice the other number. The equation to determine the two numbers, w

ith x representing the value of the lesser number, is x(2x) = 1,800. What is the value of the lesser number?
Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0

Answer:

- 30

Step-by-step explanation:

The 2 numbers are x and 2x and thir product is 1800, that is

x × 2x = 1800

2x² = 1800 ( divide both sides by 2 )

x² = 900 ( take the square root of both sides )

x = ± \sqrt{900} = ± 30

The 2 numbers are 30 and - 30 with - 30 being the lesser number

Art [367]3 years ago
4 0

Answer:

600

Step-by-step explanation:

x+2x=1800

3x=1800

x=600

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X − 78 = −42<br>x = 78 − 42<br>x = −36​
WITCHER [35]

Answer:

x= 36

(it is positive since 78 is larger than 42, everything else is correct)

Step-by-step explanation:

5 0
3 years ago
What is true of the graph of two lines 3y-8=-5x and 6y=-10x+16
Murljashka [212]

Answer:

Both lines are equal (they are the same)

<em></em>

Step-by-step explanation:

Given

3y - 8 = -5x

6y = -10x + 16

Required

What is true about graph of both lines

<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check  if both lines are either parallel or perpendicular</em>

<em />

To do this,

The first thing to do is to calculate the slope of both lines

3y - 8 = -5x

Add 8 to both sides

3y - 8 + 8 = -5x + 8

3y = -5x + 8

Divide both sided by 3

\frac{3y}{3} = -\frac{5x}{3} + \frac{8}{3}

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

------------------------------------------------------------------------------------------------------

6y = -10x + 16

Divide both sides by 6

\frac{6y}{6} = -\frac{10x}{6} + \frac{16}{6}

y = -\frac{10x}{6} + \frac{16}{6}

Simplify fractions to lowest term

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

-------------------------------------------------------------------------------------------------------

By comparing the slope, x intercept and y intercept of both lines;

It'll be observed that they have the same slope, x intercept and y intercept

<em>This implies that both lines are equal; in other words, they are the same.</em>

6 0
3 years ago
Find the 32nd term of the arithmetic sequence 32, 29, 26, 23, ...
Zinaida [17]

Answer:

-55

-61

064

63

Step-by-step explanation:

3 0
2 years ago
Please help me!!!!!!!!!
Aneli [31]
It’s 45, since the bottom corner is 90, the top one is 45 bc if you turn it into a rectangle it has to be 90 also and half of that is 45, 90 plus 45 is 135 and all the angle of a right triangle make 180, so 180 minus 135 is 45
5 0
2 years ago
Read 2 more answers
Simplify 3(9y - 2) WILL GIVE BRAINLIST IF FULLY EXAMPLED HELP!
Musya8 [376]

Answer:

27y - 6

Step-by-step explanation:

3(9y - 2)   Multiply 3 times each term in the parentheses

3 * 9y = 27y

3 * -2 = -6

5 0
2 years ago
Read 2 more answers
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