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3 years ago

9

Alan washed 60 plates in 30 minutes. It took him 3 minutes to wash 6 plates. Is the number of plates washed in 3 minutes proport

ional to the total number of plates he washed in 30 minutes?

1 answer:

timofeeve [1]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

The numbers both multiplied by 10

3 -6

30-60

You might be interested in

Select all the ordered pairs that make this statement true?

Ierofanga [76]

Answer: (24,-9)

(0,9)

(4,6)

Step-by-step explanation:

3x + 4y = 36

Using (3,-2) will be:

= 3(3) + 4(-2)

= 9 - 8 = 1

Using (1,7) will be

= 3(1) + 4(7)

= 3 + 28 = 31

Using (0,0) equals to 0

Using (24,-9) will be:

= 3(24) +4( -9)

= 72 - 36 = 36

Using (0,9) will be:

= 3(0) + 4(9)

= 0 + 36 = 36

Using (4,6) will be:

3(4) + 4(6)

= 12 + 24

= 36

Using (-12,18) will be:

= 3(-12) + 4(-18)

= -36 - 72

= -108

The correct options are (24,-9), (0,9 and (4,6)

5 0

2 years ago

In the diagram below, ΔABC is inscribed in circle P. The distances from the center of circle P to each side of the triangle are

4vir4ik [10]

Supposing the sides with 6 and 8 is a right angle, you can create a new line from C and P, and find the length using the equation of a²+b²=c² or 6²+8²=c², with c equaling the radius of the circle.

After finding c, you will have to find the length from C to the midpoint of AC, using the same equation a²+b²=c². If both the lengths of C to the midpoint of AC, and A to the midpoint of AC are equal, you can do b+b to find the length of AC.

Using the same approach, you can find AB. Hope this makes sense, if not, I can clarify more.

5 0

3 years ago

#12 with explanation please

4vir4ik [10]

Answer:

30.01 units

Step-by-step explanation:

<u>Given vertices WXYZ:</u>

W(-4,5), X(2,4), Y(3, -4), Z(-1, -6)

Perimeter is the sum of the side length.

<u>Use distance formula to find each side:</u>

WX = $\sqrt{(2+4)^2+(4-5)^2} =\sqrt{37}$ ≈ 6.08
XY = $\sqrt{(3-2)^2+(-4-4)^2} =\sqrt{65}$ ≈ 8.06
YZ = $\sqrt{(-1-3)^2+(-6+4)^2} =\sqrt{20}$ ≈ 4.47
WZ = $\sqrt{(-1+4)^2+(-6-5)^2} =\sqrt{130}$ $\sqrt{(-1+4)^2+(-6-5)^2}=\sqrt{130}$ ≈ 11.40

<u>Find perimeter:</u>

P = 6.08 + 8.06 + 4.47 + 11.40 = 30.01 units

7 0

2 years ago

What is the missing piece of the information in the paragraph proof?

Sophie [7]

B. angle 2 and angle 3 and congruent.

Please press brainliest if this helped you.

4 0

2 years ago

Read 2 more answers

Show the work please

Kay [80]

Answer:

1) (x + 3)(3x + 2)

2) x= +/-root6 - 1 by 5

Step-by-step explanation:

3x^2 + 11x + 6 = 0 (mid-term break)

using mid-term break

3x^2 + 9x + 2x + 6 = 0

factor out 3x from first pair and +2 from the second pair

3x(x + 3) + 2(x + 3)

factor out x+3

(x + 3)(3x + 2)

5x^2 + 2x = 1 (completing squares)

rearrange the equation

5x^2 + 2x - 1 = 0

divide both sides by 5 to cancel out the 5 of first term

5x^2/5 + 2x/5 - 1/5 = 0/5

x^2 + 2x/5 - 1/5 = 0

rearranging the equation to gain a+b=c form

x^2 + 2x/5 = 1/5

adding (1/5)^2 on both sides

x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2

(x + 1/5)^2 = 1/5 + 1/25

(x + 1/5)^2 = 5 + 1 by 25

(x + 1/5)^2 = 6/25

taking square root on both sides

root(x + 1/5)^2 = +/- root(6/25)

x + 1/5 = +/- root6 /5

shifting 1/5 on the other side

x = +/- root6 /5 - 1/5

x = +/- root6 - 1 by 5

x = + root6 - 1 by 5 or x= - root6 - 1 by 5

4 0

3 years ago