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3 years ago

7

the mean age of w student book club is 14.2 years. a 27-year-old teacher is invited to join the club. how does the teachers age

affect the new mean?

1 answer:

Masteriza [31]3 years ago

3 0

The answer is B. the new mean age will be greater than 14.2 because 27 is bigger than the mean age.

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Expand the fraction 72/125 .so that it has a denominator of 1000.

Dmitrij [34]

X/1000=72/125 multiply both sides by 1000

x=72000/125

x=576

So the fraction is 576/1000

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3 years ago

What is an equation of the line that passes through the point (8,-5) and is parallel

HACTEHA [7]

Answer:

y=-5/4x+5

Step-by-step explanation:

Hi there!

We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)

Parallel lines have the same slopes

First, we need to find the slope of 5x+4y=24.

We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)

subtract 5x from both sides

4y=-5x+24

divide by 4 on both sides

y=-5/4x+6

since -5/4 is in the place where m should be, it is the slope.

So the equation of the line parallel to it will also have -5/4 as the slope

Here's the equation so far in slope-intercept form:

y=-5/4x+b

we need to find b

because the equation will pass through (8,-5), we can use it to solve for b

substitute 8 as x and -5 as y

-5=-5/4(8)+b

multiply

-5=-10+b

add 10 to both sides

5=b

substitute 5 as b into the equation

<u>y=-5/4x+5</u>

That's the equation of the line parallel to 5x+4y=24.

Hope this helps!

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3 years ago

Write the inequality in slope-intercept form. 10x + 5y < 15

mestny [16]

Solve for y
minus 10x from both sides
5y<-10x+15
divide both sides by 5
y<-2x+3

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3 years ago

A gym has three trainers, Aldo, Bertha, and Coco, who each have 1/3 of the new members. A person who trains with Aldo has a 60%

GarryVolchara [31]

Answer:

1/10

Step-by-step explanation:

P(a successful member

had Bertha as her trainer) = P(Bertha being you trainer) x P(being successful if

trained by Bertha)

= 1/3 x 30/100

= 30/300

= 1/10

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3 years ago

Which correctly describes a cross section of the cube below? Check all that apply.

vodomira [7]

Answer:

B,E and F

Step-by-step explanation:

(B)A cross section parallel to the base is a square measuring 4 cm by 4 cm.

Since a cube has <u>equal base length</u>, any cross section parallel to the base will also have an equal base length.

(E)A cross section perpendicular to the base through the midpoints of opposite sides is a square measuring 4 cm by 4 cm.

Since a cube has <u>equal side lengths</u>, any cross section parallel to the side will also have an equal base length.

(F)A cross section that passes through the entire bottom front edge and the entire top back edge is a rectangle measuring 4 cm by greater than 4 cm.

Using Pythagoras Theorem

$4^2+4^2=4\sqrt{2}>4$

There the cross section will be a rectangle which measures $4\sqrt{2}\:cm\:by\:4\:cm$

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3 years ago

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