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Natasha_Volkova [10]
3 years ago
13

If a is three times b, b is twice c, and c is four times d, what is the value of a*c/b*d

Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

12

Step-by-step explanation:

a=3b

b=2c

c=4d

a*c/b*d = (3(2(4d)))*(4d)/(2(4d))*d

            = 96d^2/8d^2

            = 12

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Five-sixths of the boats in the marina are white, 2 5 of the remaining boats are blue, and the rest are red. If there are 12 red
Inga [223]

Answer: There are 120 boats in the marina.

Step-by-step explanation:

Let's suppose that there are N boats

We know that 5/6 of them are white, then we have: (5/6)*N white boats.

The remaining is: N - (5/6)*N = (1/6)*N

We know that 2/5 of the remaining are blue, then we have:

(2/5)*(1/6)*N blue boats

And the rest are red, the rest is:

(1/6)*N - (2/5)*(1/6)*N = (3/5)*(1/6)*N

Then we have (3/5)*(1/6)*N red boats.

And we know that there are 12 red boats, then:

(3/5)*(1/6)*N = 12

Now we can solve this for N, which is the total number of boats in the marina.

N = 12*(6)*(5/3) = 120

There are 120 boats in the marina.

4 0
3 years ago
Squash and Water are mixed in the ratio 1:5. Marion needs to make cups of juice that are 150ml for a party. She anticipates she
PIT_PIT [208]
You need to add 1 and 5 and get 6
do 150 divided by 6
you get 25
6 0
3 years ago
Before ordering food for a company barbecue the president took a poll. She asked people if they would eat the ribs, hamburgers,
Vinvika [58]

Answer:

The complete question is as shown in the attached figure 1

The Venn diagram is the attached figure 2

Let: R⇒ribs , H⇒hamburgers  and  C⇒corn

People would eat all three = 53

People would eat only R and H = 56 - 53 = 3

People would eat only C and H = 54 - 53 = 1

People would eat only R and C = 55 - 53 = 2

People would eat only H = 60 - (53+3+1) = 60 - 57 = 3

People would eat only R = 59 - (53+3+2) = 59 - 58 = 1

People would eat only C = 56 - (53+1+2) = 0

See Vinn diagram.

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

a. How many people did not want any of these foods?

people did not want any of these foods = 64 - (53+3+1+2+3+1) = 1

b. How many people would eat ribs but not corn?

people would eat ribs but not corn = 1+3 = 4

c. How many people would eat something as long as it was not a hamburger?

people would eat something as long as it was not a hamburger= 1+2 = 3

d. How many people would eat only corn?

people would eat only corn = 0

e. How many people would eat exactly two foods?

people would eat exactly two foods = 1 + 2 + 1

6 0
3 years ago
17) Tony is retiring after 40 years and will receive a monthly pension of $1400
dusya [7]

Add the two monthly incomes together:

1400 + 1100 = 2500 a month.

There are 12 months in a year, multiply the monthly income by 12:

2500 * 12 = $30,000 per year.

3 0
3 years ago
Read 2 more answers
If the Jackson family drive 135 miles on 6 gallons of gas, how many miles can they can they drive on 9 gallons?
drek231 [11]

Answer:

202.5 miles

Step-by-step explanation:

We find the unit rate of the mile per gallon

135/6

= 22.5

We multiply 22.5 by 9 to get the miles they can drive on 9 gallons

22.5 * 9

= 202.5

3 0
3 years ago
Read 2 more answers
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