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zloy xaker [14]
1 year ago
11

Mrs. Spring left half of her estate to her son Sam. She left half of the remaining half to her cousin Fred. She left half of the

remaining half to her nephew Bill. She left the remaining
$25, 000 for the care of her cat Chester.

What was the total amount of Mrs. Spring estate?
Mathematics
1 answer:
FinnZ [79.3K]1 year ago
5 0

The total amount of Mrs. Spring's estate is $200,000

<h3>What is a fraction?</h3>

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Let the total estate = 100x

Share left with Sam = 50x

Remaining share = 50x

Now,

Share left with cousin Fred = 1/2 of 50x = 25x

Remaining  share = 25x

Share left with nephew Bill = 1/2 x (25x) = 12.5x

Remaining share = 12.5x

Share left with the care of the cat Chester = 12.5x

12.5x = $25,000

Now,

12.5x = $25,000

Multiply with 100/12.5 on both sides.

100/12.5 x 12.5x = 100/12.5 x $25,000

100x = $200,000

Thus,

The total amount of Mrs. Spring's estate is $200,000

Learn more about fractions here:

brainly.com/question/24370499

#SPJ1

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Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court
Ksju [112]

Answer:

(a)\dfrac{92}{117}

(b)\dfrac{8}{39}

(c)\dfrac{25}{117}

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed)=P(MW)+P(WM)

=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.
  • Two women are appointed

P(at least one woman is appointed)=P(MW)+P(WM)+P(WW)

P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}

In Part B, P(MW)+P(WM)=\frac{8}{39}

Therefore:

P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}

5 0
3 years ago
Ms. Jefferson is laying out a photo page. Each photo is cut to 2 3⁄4 inches wide. How many photos can she fit in a row that is 1
lisov135 [29]

Answer:

She can fit 8 photos in a row if there are no spaces between the photos.

Step-by-step explanation:

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3 years ago
Solve the equation.<br><br> 5^3x-1 = 5^5<br><br> x=?
leonid [27]

Answer:

x= 3126/125 or x=25.008 or as a mixed number form: x=25 and 1/125

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

4 0
2 years ago
Read 2 more answers
Can y’all please help me
Ulleksa [173]

Answer: What's the question?

Step-by-step explanation:

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3 years ago
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Linesl,mand n are parallel to each other and p is a transversal​
butalik [34]
<h3>Answer:  126 degrees</h3>

========================================================

Explanation:

Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.

If x+y = 180, then y = 180-x.

Plug this into the equation your teacher gave you

x/y = 3/7

x/(180-x) = 3/7

7x = 3(180-x) ... cross multiply

7x = 540 - 3x

7x+3x = 540

10x = 540

x = 540/10

x = 54

Use this to find y

y = 180-x

y = 180-54

y = 126

Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.

Divide both parts of the first fraction by 18 to fully reduce.

Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees

4 0
2 years ago
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