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Amiraneli [1.4K]
3 years ago
11

Mercury orbits around the sun is 87 24/25 earth days. Venus orbits the sun in 224 7/10 earth days, and Mars orbits the sun in 68

6 49/50 days. Write each mixed number as a decimal.
Mathematics
1 answer:
pav-90 [236]3 years ago
5 0

For this case we have the following mixed numbers:

87 \frac {24} {25}\\224 \frac {7} {10}\\686 \frac {49} {50}

We convert each mixed number into decimal:

Mercury orbits:87 \frac {24} {25} = \frac {25 * 87 + 24} {25} = \frac {2175 + 24} {25} = \frac {2199} {25} = 87.96

Venus orbits: 224 \frac {7} {10} = \frac {10 * 224 + 7} {10} = \frac {2240 + 7} {10} = \frac {2247} {10} = 224.7

Mars orbits: 686 \frac {49} {50} = \frac {50 * 686 + 49} {50} = \frac {34300 + 49} {50} = \frac {34349} {50} = 686.98

Answer:

Mercury orbits: 87.96

Venus orbits: 224.7

Mars orbits: 686.98

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A circular plot with a 160 foot diameter is watered by a spray irrigation system. To the nearest square foot, what is the area t
Anuta_ua [19.1K]

A circular plot is watered by a sprinkler that rotates through it. The sprinkler only rotates through a semi-circle, or half of the whole circle.

Area of a circle: A = pi x r^2

r = 160 / 2 = 80

A = pi x 80^2

A = 6400pi / 2 = 3200pi

3200pi = 10053.0965

The area water is approximately 10,053 ft^2.

Hope this helps!! :)

4 0
3 years ago
How many subsets of five elements each can be made from a set of seven elements?
Alina [70]
<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula. The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get: 7! / (5!*2!) = 7*6 / 2 = 21 21 subsets can be created</span>
8 0
3 years ago
Johnny was able to drive an average of 29 miles per hour faster on his car after the traffic cleared. He drove 30 miles in traff
Fantom [35]

Answer:

15 mph

Step-by-step explanation:

Before traffic cleared:

distance = 30 miles

average speed = s

time = t

d = st

30 = st

After traffic cleared:

distance = 176 miles

average speed = s + 29

time = 6 - t

d = st

176 = (s + 29)(6 - t)

30 = st

s = 30/t

176 = (30/t + 29)(6 - t)

176t = (30 + 29t)(6 - t)

176t = 180 - 30t + 174t - 29t^2

29t^2 + 32t - 180 = 0

(29t + 90)(t - 2) = 0

t = -90/29 or t = 2

Time must be a positive number, so we discard the solution t = -90/29.

t = 2

30 = st

30 = s * 2

s = 15

Answer: 15 mph

3 0
3 years ago
Mariko has a bedroom wall that is shaped like a trapezoid with a height of 8 ft, a top base of 10 ft, and a bottom base of 13 ft
Nimfa-mama [501]
First, you have to find the area of the entire wall, including the window. The formula for the area of a trapezoid is:

A = (b1 + b2)/2 * h

b1 is the first base, b2 is the second base, A is the total area, and h is the height.

Plug in the numbers from the problem.

(13 + 10)/2 * 8

Simplify.

(23)/2*8

11.5*8 = 92

Now, to calculate the window's surface area, you use the formula for area of a circle.

A = 3.14*r^2

Plug in your number.

A = 3.14 * 2^2

Simplify.

A = 3.14 * 4

A = 12.56

Now, you subtract the area of the window from the total area of the wall.

92 - 12.56 = 79.44

79.44 feet

5 0
3 years ago
Read 2 more answers
Tayler's mom purchased a savings bond for Tyler. One year after it was purchased, the value of the savings bond was $156. If the
Airida [17]

Answer: The value of the bond when Tyler's mom purchased it = $150

Step-by-step explanation:

Let x= Purchasing price of the bond.

Given: Rate of increase in its value = 4% = 0.04

Value of bond after one year = x+ 4% of x

= x+0.04x

= 1.04x

One year after it was purchased, the value of the savings bond was $156.

\Rightarrow\ 1.04x = 156\\\\\Rightarrow\ x=\dfrac{156}{1.04}\\\\\Rightarrow\ x=150

Hence, the value of the bond when Tyler's mom purchased it = $150

4 0
3 years ago
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