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3 years ago

A rational number is

1 answer:

3 0

According to Google.com, a rational number is “a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.”

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Steve sells half of his comic books and then buys 6 more now he has 14 comic books

ddd [48]

Let b be the initial amount of books. Steve sells half of his books, so the number of Steve's books become

$b \to \dfrac{b}{2}$

Then, he buys 6 more, so the number increases by 6:

$\dfrac{b}{2} \to \dfrac{b}{2}+6$

This number is now 14, so you have

$\dfrac{b}{2}+6 = 14$

Subtract 6 from both sides:

$\dfrac{b}{2} = 8$

Multiply both sides by 2:

$b = 16$

4 0

2 years ago

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3. Diego drew a scaled version of a Polygon P and labeled it Q.

bogdanovich [222]

Answer:

The scale factor used to go from P to Q is 1/4

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x -----> area of polygon Q

y -----> area of polygon P

$z^{2}=\frac{x}{y}$

we have

$y=72\ units^2$

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

$A=(1/2)(1)(2)=1\ units^2$

Find the area of three squares (A2,A3 and A4)

$A=3(1)^2=3\ units^2$

Find the area of triangle 5

$A=(1/2)(1)(1)=0.5\ units^2$

The area of polygon Q is

$x=1+3+0.5=4.5\ units^2$

Find the scale factor

$z^{2}=\frac{x}{y}$

we have $y=72\ units^2$

$x=4.5\ units^2$

substitute and solve for z

$z^{2}=\frac{4.5}{72}$

$z^{2}=\frac{1}{16}$

square root both sides

$z=\frac{1}{4}$

therefore

The scale factor used to go from P to Q is 1/4

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3 years ago

Which inequality represents all values of x for which the product below is<br> defined?<br><br> ixt1

sesenic [268]

Answer:

Step-by-step explanation:

i got band and theres nothing below

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3 years ago

CORRECT ANSWER GETS BRAINLYEST Drag each set of coordinates to the correct location on the table. Not all sets of coordinates wi

nata0808 [166]

Answer:

(-4,-7)

(4,7)

(-4,-5)

(1,-1)

Step-by-step explanation:

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2 years ago

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Can someone please help me with this?

stich3 [128]

Answer:

25 so C

Step-by-step explanation:

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2 years ago