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2 years ago

If ethans monthly expenses are 1160 and his debt to income ratio is 0.8 what is his monthly salary

Mathematics

1 answer:

lukranit [14]2 years ago

7 0

Answer:

$1450$

Step-by-step explanation:

Based on the given conditions, formulate: $\frac{1160}{0.8}$

Convert decimal to fraction: $\dfrac{1160} {\dfrac{8}{10}}$

Divide a fraction by multiplying its reciprocal: $1160 \times \dfrac{10}{8}$

Cross out the common factor: $145 \times 10$

Calculate the product or quotient: $1450$

get the result: $1450$

Answer: $1450$

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Q-35 Convert this equation to slope-intercept form: y+2= -4/17x + 12/7

Andru [333]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

given y + 2 = - $\frac{4}{17}$ x + $\frac{12}{7}$

Subtract 2 from both sides

y = - $\frac{4}{17}$ x + $\frac{12}{7}$ - $\frac{14}{7}$

y = - $\frac{4}{17}$ x - $\frac{2}{7}$ ← in slope- intercept form

6 0

2 years ago

Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

$y=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

Determining the value of x:

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

Determining the value of y:

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

5 0

2 years ago

A watermelon seed is 0.4cm long. How far would a line of 126 stretch?

nikdorinn [45]

Answer:

0.504m

Step-by-step explanation:

First, we would multiply 0.4cm by 126 watermelon seeds to find the length of the line in cm.

0.4*126

= 50.4cm

Therefore, the line of watermelon seeds stretches 50.4cm.

Now, because the question wants us to type the answer in meters, we must convert 50.4cm into meters. We do this by dividing 50.4 by 100 since 100cm makes up 1 meter.

50.4/100

= 0.504m

Therefore, the line of watermelon seeds stretches 0.504m.

I hope this helps!

6 0

2 years ago

Solve the Quadratic Equation . Show all of your work for full credit. 4x^2− 2x − 5= 0

max2010maxim [7]

Hope this helps! Don’t mind the part I crossed off.

8 0

2 years ago

Read 2 more answers

Use a number line to show the sum of 6 + (–7).

mylen [45]

So there is a rule
(+)(+)=+
(-)(+)= -
(+)(-)= -
So now if you subtract 6 with 7 you will end up having -1 as you’re answer. Hope this helps

4 0

2 years ago