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Evgen [1.6K]
3 years ago
14

The equatorial diameter of Jupiter is about 89,000 mi. This is about 11.23 times the equatorial diameter of earth. What is the e

quatorial diameter of earth? Round the nearest integer
Mathematics
1 answer:
Simora [160]3 years ago
6 0

The equatorial diameter of the earth is 7925 mi.

<u>Solution: </u>

Given, The equatorial diameter of Jupiter is about 89,000 mi.  

This is about 11.23 times the equatorial diameter of earth.  

We have to find what is the equatorial diameter of earth? Round the nearest integer

Now, according to given information,

Equatorial Diameter of Jupiter = 11.23 \times equatorial diameter of earth

\text { Then, equatorial diameter of earth }=\frac{\text { diameter of iupiter }}{11.23}

\begin{array}{l}{\text { equatorial diameter of earth }=\frac{89000 \mathrm{mi}}{11.23}} \\\\ {\text { equatorial diameter of earth }=7925.2003 \mathrm{mi}}\end{array}

Hence, the equatorial diameter of the earth is 7925 mi.

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There are $400$ pages in Sheila's favorite book. The average number of words per page in the book is $300$. If she types at an a
avanturin [10]

Answer:

50hours

Step-by-step explanation:

Given that there are 400 pages in Sheila's favorite book.

The average number of words per page in the book is 300

She types an average rate of 40words per minute.

So to type 400pages of the book

Total number of words in the pages = 400×300 = 120000 words

Typing rate : 40words ------- 1minute

120000 words ----------- x minutes

Hence we have 40 × X mins = 120000 × 1min

Make X the subject

40X = 120000minutes

X = 120000/40

X = 3000minutes

Since 60minutes = 1hour

3000minutes = 3000minutes/60

= 50hours

Hence it took her 50hours to type 400pages

7 0
3 years ago
At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in h
densk [106]

Answer:  There are 177100 possible groups.

Step-by-step explanation:

Given: Total employees = 25

Number of  employees  wants to choose = 6

The combination of n things taken r at a time is given by:-

^nC_r=\frac{n!}{r!(n-r)!}

Put n = 25 and r= 6, we get

^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100

Hence, there are 177100 possible groups.

8 0
3 years ago
In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 a
Inga [223]

Answer:

The coordinates of B' and C' are B'(x,y) = (4, -7) and C'(x,y) = (-1, -8), respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

O'(x,y) = O(x,y) + T(x,y) (1)

Where:

O(x,y) - Original point, dimensionless.

T(x,y) - Translation vector, dimensionless.

O'(x,y) - Translated point, dimensionless.

If we know that A'(x,y) = (1, -5) and A(x,y) = (4,-2), then the translation vector is:

T(x,y) = A'(x,y)-A(x,y) (2)

T(x,y) = (1,-5)-(4,-2)

T(x,y) = (-3,-3)

If we know that B(x,y) = (7,-4), C(x,y) = (2,-5) and T(x,y) = (-3,-3), then the translated points are, respectively:

B'(x,y) = B(x,y)+T(x,y) (3)

B'(x,y) = (7,-4) +(-3,-3)

B'(x,y) = (4, -7)

C'(x,y) = C(x,y) +T(x,y)

C'(x,y) = (2,-5) + (-3,-3)

C'(x,y) = (-1, -8)

The coordinates of B' and C' are B'(x,y) = (4, -7) and C'(x,y) = (-1, -8), respectively.

5 0
3 years ago
Legolas shoots 3 arrows at once from his bow. He has 177 arrows. How many times can Legolas shoot his bow before he needs more a
Nataliya [291]

Answer:

59

Step-by-step explanation:

3x=177

3x represents the # of arrow he can shoot at once every time

177 represents the total # of arrow he has

3 0
3 years ago
Solve for x in the given equation: ax - b = c
lord [1]

An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of x in the given equation can be written as,

ax - b = c\\\\ax = c+b\\\\x = \dfrac{c+b}{a}

Hence, the value of x is the equation ax-b=c is (c+b)/(a).

Learn more about Equation:

brainly.com/question/2263981

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5 0
2 years ago
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