Mercury orbits the Sun in 87 24/25 earth days. Venus orbits the Sun in 224 7/10 earth days and Mars orbits the sun in 686 49/50 earth days. Express each mixed number as decimal.

Answers

Answer 1

Answer: 87 24/25.......24/25 = 0.96......answer is 87.96

224 7/10....7/10 = 0.7....answer is 224.7

686 49/50...49/50 = 0.98...answer is 686.98

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You decide to throw a guacamole party at your house. You have a mixing bowl that is 12 inches in diameters if one Tostito scoop chip and hold 1.125 cubic inches, which of the following is closest to the maximum number of scoops the mixing bowl can hold.A. 804 scoops
B. 201 scoops
C. 402 scoops
D. 18 scoops

Answers

Answer: d

Step-by-step explanation:

Ax+By=C form help...

Answers

Answer:

4x-y= -18

Step-by-step explanation:

y-1=4(x+4)

y-1=4x+16

4x-y=-1-17

4x-y=-18

where A=4 B=-1 and C=-18

Answer:

4x + y = -15

Step-by-step explanation:

y - 1 = -4(x+4)

y - 1 = -4x - 16

y = -4x - 16 + 1

y = -4x - 15

4x + y = -15

The owner of a dress shop ordered 33 dresses from a new designer. The designer's dresses now make up to 30% of all dresses in the shop. How many dreses are in the shop in all?

Answers

30 33
-----= ----
100 ?
To find this we need to find what makes 30 into 33. 33 divided by 30=1.1
To find ? we need to reverse since it's on the other side. 100 x 1.1=110
110 dresses in total.

Two angles in a triangle add up to 98 degrees. what is the size of the third angle?

Answers

the answer is 82 the sum of all the angles is 180 and two of them add up to 98 so subtract 180-98=82 and the other angles measure 49 each

All 3 angles of a triangle add up to 180 degrees.

180 - 98 = 82

So 82 degrees is the third angle.

2r+2s=50
Please look at the picture

Answers

2r + 2s = 50

2r - s = 17

-----------subtract

3s = 33

s = 11

2r - s = 17

2r - 11 = 17

2r = 28

r = 14

so r = 14 and s = 11

answer is C. r = 14, s = 11

A patio in the shape of a semicircle has a diameter of 21 ft. What is the approximate area of the patio, rounded to the nearest square foot? Use 3.14 to approximate pi star times pi.

Answers

The formula of the area of a semi circle is half the area of the circle

$( \pi r^2)/(2)$

Diameter = 21 ft
Radius = $(d)/(2)$ = $(21)/(2)$ = 10.5 ft

Area = $( \pi (10.5)^2)/(2)$
= $(110.25 \pi )/(2)$
= $(110.25 * 3.14)/(2)$ (3.14 as $\pi$ )
= $(346.185)/(2)$
=173.0925 ft² ≈ 173.1 ft² ≈ 173 ft²
To the nearest square foot : 173 ft²

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