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2 years ago

15

In order for a class trip to be scheduled, at least 30 students must sign up. So far, 23 students have signed up. Write and solv

e an inequality to find the least number of students that must sign up in order for the class trip to be scheduled.

1 answer:

Grace [21]2 years ago

3 0

Answer:

Step-by-step explanation:

30 ≤ 23 + x

7 ≤ x

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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

-4+6(-4x+3) combining like terms & distributive property

Damm [24]

After using distributive property and combining like terms the answer is -2

8 0

3 years ago

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X/5=1/(x+4) solve for x

solmaris [256]

ANSWER:

X is -5 and 1.

1) cross multiply

2) subtract five from both sides

3) factor

4) check for extraneous

5) ask me if you are still confused.

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3 years ago

Mrs. Rowan allotted 30 minutes at the

NikAS [45]

Answer:

40%

Step-by-step explanation:

Experimental-theoretical over theoretical.

5 0

3 years ago

Pleaseeeee help :'))))

jeka57 [31]

Answer:

The answer is

x= -35

Step-by-step explanation:

x/5= -7

x= -35. :-)

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3 years ago

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