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3 years ago

Help 20pts show your work too ;)

Mathematics

1 answer:

Tamiku [17]3 years ago

7 0

So first make them inproper fractions
6 2/3 = 20/3
4 7/8 = 39/8
then you multiply them
20 * 39 = 780
3 * 8 = 24
12 can go into both numbers
780 ÷ 12 = 65
24 ÷ 2 = 2
the answer is 65/2 or if you want it simplified 32 1/2
Hope this helped you :)

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VladimirAG [237]

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3 years ago

20 people is only 4/5 of the total people....what is the total

sleet_krkn [62]

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3 years ago

Read 2 more answers

Please help ASAP! Thanks! For the figures below, assume they are made of semicircles, quarter circles and squares. For each shap

bazaltina [42]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)$

$A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)$

$C=6\pi\ cm$

The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)

$AC=\sqrt{12^2+12^2}$

$AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

6 0

3 years ago

Substitute -3x-8y=4 -2x+7y=15

Nikolay [14]

-2x=15-7y
x=-7.5+3.5y

-3x-8y=4
-3(7.5+3.5y)-8y=4
-22.5-10.5y-8y=4
-22.5-18.5y=4
-18.5y=4+22.5
-18.5y=26.5
y=-53/35

the fraction might not be in lowest terms.

3 0

3 years ago

Cameron mixed 1/4 cup lemon juice, 3/4 cup orange juice, and 2 1/4 cup water to make some fruit punch. He was serving 13 people.

olasank [31]

He made 3 1/4 total cups of fruit punch

to get this answer you would add 1/4 + 3/4 = 1 cup

then 1 + 2 = 3

finally adding 3 + 1/4 = 3 1/4 total cups of fruit punch

(Hope this makes since :D)

6 0

2 years ago