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3 years ago

10

you have a 32-foot fence around a square garden. There are 4equal sections. You paint 1/3 of one section of the fence. What frac

tion of the fence did you paint?

1 answer:

vlada-n [284]3 years ago

6 0

1/12 of the entire fence

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Devin has $30 on his bus card. Every time he rides a bus, $1.20 is deducted from the value on his card. The amount if money he h

vaieri [72.5K]

Answer:

y = -1.2x + 30

x = 22

x = 15

Step-by-step explanation:

<u>Part A</u>

Initially, Devin has $30. Then every time he rides the bus, $1.20 is taken away: y = 30 - 1.2x

Therefore, in slope-intercept form: y = -1.2x + 30

If he has $3.60 on his card, then y = 3.60, so substitute this into the above equation and solve for x:

3.60 = -1.2x + 30

subtract 30 from both sides: -26.4 = -1.2x

divide both sides by -1.2: 22 = x

Therefore Devin has ridden the bus 22 times if he has $3.60 on his card.

<u>Part B</u>

Rebecca: y = -1.4x + 33

To determine how many rides on the bus Devin and Rebecca would need to take to have the same amount of value of their bus card, simply equate the equations and solve for x:

Rebecca = Devin

y = y

-1.4x + 33 = 30 - 1.2x

subtract 33 from both sides: -1.4x = -3 - 1.2x

Add 1.2x to both sides: -0.2x = -3

Divide both sides by -0.2: x = 15

Therefore, Devin and Rebecca would both have to take 15 rides on the bus to have the same amount of value of their bus card.

6 0

2 years ago

Zeolite organized a canned food drive. She worked a total of 12 2/3 hours. She worked 3 1/6 hours each day that she worked. How

galina1969 [7]

She worked 4 days on the food drive because to do math with these two fractions, you have to give them the same denominator. So, 12 2/3 becomes 12 4/6. Then, how many times does 3 go into 12? 4 times so the answer is 4. Hope this helped :)

7 0

3 years ago

This is not an equation but if I get a 100/100 on a lab and I have a C in the same class what will my grade be?

alukav5142 [94]

Answer:

probably a B.

Step-by-step explanation:

5 0

3 years ago

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

<u>Find the slope of the given line</u>

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

so

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

3 years ago

Read 2 more answers

A) prove that MQX is congruent to MRY

Viktor [21]

Answer:

Side MQ is similar to side MR.

- This is because since M is the mid point of QR, both MQ and MR are half of QR.

Angle MXQ and MYR are 90°

Sides QX and RY are similar.

- This is because angle X and Y are 90° and MQ and MR are equal.

∴ MQX is congruent to MRY.

7 0

3 years ago