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3 years ago

When you add 18 to 1/4 of a number,you get the number itself ?

Mathematics

1 answer:

Dafna11 [192]3 years ago

4 0

Let x be the unknown number. Then we have 18+x/4=x which is the same as (3/4)x=18 or x=24.

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Find the value of each variable. Write your answer in simplest radical form.

san4es73 [151]

Answer:

$y=4\sqrt{3}$

$x=2\sqrt{21}$

Step-by-step explanation:

The diagram is shown in the attachment.

By the altitude -leg rule :

$\frac{14-8}{y}=\frac{y}{8}$

This implies that:

$\frac{6}{y}=\frac{y}{8}$

By cross multiplication:

$y^2=6*8\\\implies y^2=16*3$

Take square root to get:

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$y=4\sqrt{3}$

Using the Pythagoras Theorem:

$x^2=6^2+(\sqrt{48})^2$

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3 years ago

Which of the following angles, when placed in standard position, does not land in quadrant III?

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3 years ago

Read 2 more answers

Enter the next 3 terms from the geometric sequence below.

Katen [24]

Answer:

1/4, -1/8, and 1/16

Step-by-step explanation:

Geometric sequence: -2, 1, -1/2, ....

Geometric sequence means there is a common ratio.

so from -2 , the next term is -2*r , and the next term is -2*r*r

-2r = 1, means r = -1/2

then next after -1/2, is 1/4,

and then... -1/8, and then 1/16

6 0

3 years ago

I added a screenshot of my question

Anastasy [175]

<h2>Answer:</h2>

$y=\frac{1}{3}x+4$

<h2>Explanation:</h2>

Slope-intercept form:

What the variables mean:

Y=the y axis

m=the slope

x=the x-axis

b=the y intercept (the point on the line that crosses the y-axis)

To Calculate the Slope:

1. Find any 2 points on the line

2. The number of units the second point is above the first is the numerator

3. The number of units the second point is to the right of the first is a denominator

(Please see the picture attached)

$y=\frac{1}{3}x+b$

To Find the Y-Intercept:

1. Find the point on the line that crosses the y-axis

(Please see the picture attached)

$y=\frac{1}{3}x+4$

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4 years ago

Martin has an 18-cup container of flour that he uses for muffins only. He uses 3 cups of flour for every batch of muffins he mak

Korolek [52]

Answer:

Martin will only be able to make 6 batches of muffins until he runs out of flour.

Step-by-step explanation:

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3 years ago

When you add 18 to 1/4 of a number,you get the number itself ￼?

When you add 18 to 1/4 of a number,you get the number itself ?