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hodyreva [135]
3 years ago
5

Find the difference and write it in simplest form 7 3/8 - 2 7/9

Mathematics
1 answer:
Papessa [141]3 years ago
4 0
Well first you have to turn the mixed number into a improper fraction.
7 2/8=59 over 8
2 7/9=25 over 9
Then u would multiply the 59 by 9 and 8 by 9 and u should get 531 over 72 and for the second fraction u should multiply the 25 by 8 and the 9 by 8 and you should get 200 over 72 as a improper fraction.
Then you have to subtract 531 over 72 by 200 over 72 and u should get 231 over 72 which is 4 and 43 over 72 when simplified.
The answer: 4 43/72
Hope this helps!!!!

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On a map, 1/3 inch equals 15 miles. The distance between two towns on a map is 3 2/3 inches. How many miles are actually between
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15x11=165 E is the answer.
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3 years ago
Suppose a birth defect has a recessive form of inheritance. In a study population, the recessive gene (a) initially has a preval
BabaBlast [244]

Answer:

Step-by-step explanation:

a) Maternal gene = 0.25; Paternal gene = 0.25

Probability having a birth defect = 0.25 X 0.25 = 0.625

b) P(A) = 0.30; P(B) = 0.70

P(A)*P(B) = 0.30 X 0.70 = 0.021

For marriage:

25%: P(A)*P(A)*0.25 = 0.09 X 0.25 = 0.0225

65%: P(B)*P(B)*0.65 = 0.049 X 0.65 = 0.03185

10%: P(A)*0.10 = 0.03 and P(B)*0.10 = 0.07

P(A)*P(B) = 0.03 X 0.07 = 0.0021

Probability of a defect birth in the next generation = 0.0225 + 0.03185 + 0.0021 = 0.05645

c) 1. P(A)*P(A) = 0.09

2. P(B)*P(B) = 0.049

3. P(A)*P(B) = 0.021

4 0
3 years ago
There are some Nichols dimes and quarters in a large piggy bank for every two nickels there a sweetheart forever to Diane’s ther
grigory [225]

Answer:

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

All coins in the piggy bank worth $91.

Step-by-step explanation:

Please consider the complete question:

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total. How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning. How much are the coins in the piggy bank worth?

Let n, d, q represent number of nickles, dimes and quarters respectively.

For every 2 nickels there are 3 dimes. We can represent this information in an equation as:

\frac{2}{n}=\frac{3}{d}...(1) or

n=\frac{2d}{3}...(1)

For every 2 dimes there are 5 quarters. We can represent this information in an equation as:

\frac{2}{d}=\frac{5}{q}...(2) or  

q=\frac{5d}{2}...(2)  

There are 500 coins total. We can represent this information in an equation as:

n+d+q=500...(3)

We will use substitution method to solve our given system.

Upon substituting equation (1) and equation (2) in equation (3), we will get:

\frac{2d}{3}+d+\frac{5d}{2}=500  

Multiply the equation by 6:

\frac{2d}{3}*6+d*6+\frac{5d}{2}*6=500*6  

2d*2+6d+5d*3=3000  

4d+6d+15d=3000  

25d=3000  

\frac{25d}{25}=\frac{3000}{25}  

d=120  

Therefore, there are 120 dimes in the piggy bank.

Upon substituting d=120 in equation (1), we will get:

n=\frac{2(120)}{3}

n=2(40)

n=80

Therefore, there are 80 nickels in the piggy bank.

Upon substituting d=120 in equation (2), we will get:

q=\frac{5d}{2}  

q=\frac{5(120)}{2}  

q=5(60)  

q=300  

Therefore, there are 300 quarters in the piggy bank.

Now, we need to find the value of all coins.

We know 1 quarter is worth $0.25, so 300 quarters will be worth \$0.25\times 300=\$75.

We know 1 dime is worth $0.10, so 120 dimes will be worth \$0.10\times 120=\$12.

We know 1 nickel is worth $0.05, so 80 nickels will be worth \$0.05\times 80=\$4.

\text{All coins worth}=\$75+\$12+\$4

\text{All coins worth}=\$91

Therefore, all coins in the piggy bank worth $91.

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Find the value of x.
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Answer:

x=104

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

10.5 = 1/2( x-83)

Multiply each side by 2

2* 10.5 = 2*1/2( x-83)

21 = x-83

Add 83 to each side

21+83 = x-83+83

104 =x

7 0
3 years ago
Read 2 more answers
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