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Nata [24]
3 years ago
13

If the average (arithmetic mean) of 3a and 4b is less than 50, and a is twice b, what is the largest integer value of a?

Mathematics
1 answer:
sdas [7]3 years ago
4 0

Answer: The largest value of 'a' is less than 20

Step-by-step explanation:

If arithmetic mean of 3a and 4b is less than 50 i.e 3a+4b/2 < 50

3a+4b < 100... (1)

If a is twice as b, a = 2b... (2)

Substituting equation 2 into 1 we have, 3(2b)+4b < 100

6b+4b < 100

10b < 100

b < 10

Since a = 2b, a = 2×10 = 20

Therefore the largest value of 'a' is less than 20 which can be 19.9

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Which graph represents -9x+4y≤8
Andre45 [30]

Answer: what are the answer choices ?

Step-by-step explanation:

7 0
3 years ago
T
ad-work [718]

Answer:

Present age

Son: 15

Father: 45

Step-by-step explanation:

Remark

Thank you for the translation. Without it, the problem would be impossible -- at least for me.

Givens

Let the present age of the father = x

Let the present age of the son = y

Solution

x + y = 60

How many years will pass? You could say it's z.

x + z = y                          When z years pass, the son will be his father's present age.

x + z + y + z = 120          when z is added to both their current ages, the result is 120                   Collect like terms

       

x + y + 2z = 120            

<u>x + y         = 60  </u>            Subtract The very first equation

2z = 60                          Divide by 2

z = 60/2                         30 years have passed.

z = 30

x + z = y

x + 30 = y                       Substitute x + 30 for the present y value (the father).

x + x + 30 = 60

2x = 30

x = 15

x + y = 60

15 + y = 60

y = 60 - 15

y = 45

So the son's age right now is 15

The father's age right now is 45

8 0
3 years ago
elve disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylind
slava [35]
I don't even know for real 


8 0
3 years ago
Read 2 more answers
the admission fee at an amusement park is $3.50 for children and $7.20 for adults. on a certain day, 344 people entered the park
snow_lady [41]

Answer:

180 adults, 164 children

Step-by-step explanation:

Assuming all the people admitted are children,

total fees collected

= 344($3.50)

= $1204

Difference in amount collected

= $1870 -$1204

= $666

This difference in amount is due to the extra cost from each adult admission fee that we assumed to be children.

Difference in each admission fee

= $7.20 -$3.50

= $3.70

Number of adults admitted

= $666 ÷$3.70

= 180

Number of children admitted

= 344 -180

= 164

4 0
3 years ago
Write and solve the equation/expression written below:
Tatiana [17]

Step-by-step explanation:

Three times the sum of a number and 4 is the same as 18 less than a number.

Solution,

Let the number be x, then

3(x+4)=x-18

3x+12=x-18

3x-x=-18-12

2x=-30

x=-30/2

x=-15

5 0
3 years ago
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