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3 years ago

Two numbers have a sum of 136 and a difference of 32. Find the smaller of the two numbers.

Mathematics

2 answers:

Yanka [14]3 years ago

7 0

Answer:

Smaller number = x

Bigger number = x +32

Why? -- the difference of the numbers is 32, this also means that one number is 32 greater than the other.

x + x+32 = 136

2x +32 = 136

2x = 104

x = 104/2

x = 52

----> The smaller number is 52 <-----

We can check by solving for the bigger number.

Bigger number = x+32

x = 52

52 + 32 = 84

Bigger number = 84

Bigger number + Smaller number = 136

84 + 52 = 136

Leno4ka [110]3 years ago

4 0

Answer:

Step-by-step explanation:

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Answer:

If you have a group of 700 men, 56 will be color blind

Step-by-step explanation:

The theoretical probability that a man will have some form of color blindness is 8%.

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3 years ago

Tickets for a certain show cost $17, $21, or, for VIP seats, $40. If ten times as many $17 tickets were sold as VIP tic

lawyer [7]

Answer:

Tickets sold:

VIP $=126$

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Step-by-step explanation:

Let x be the number of VIP tickets.

If ten times as many $17 tickets were sold as VIP tickets, then the number of $17 tickets is $10x.$

If the number of $17 tickets sold was 57 more than the sum of the number of $21 tickets and VIP tickets, then $10x+57=x+y$ and the number y of $21 tickets is $9x+57.$

Amounts earned:

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$21 tickets $=\$21\cdot (9x+57)=\$(189x+1,197)$

Total $=\$(40x+170x+189x+1,197)=\$(399x+1,197)$

The sales of all three kinds of tickets would total $51,471, so

$399x+1,197=51,471\\ \\399x=51,471-1,197\\ \\399x=50,274\\ \\x=126$

Tickets sold:

VIP $=126$

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3 years ago

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2 years ago

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Step-by-step explanation:

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3 years ago

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VGravel is being dumped from a conveyor belt at a rate of 50 ft3/min. It forms a pile in the shape of a right circular cone whos

kupik [55]

Answer:

0.325 ft/min

Step-by-step explanation:

To solve we must follow the following steps:

First, the volume of a cone is given by the equation:

Vc = (1/3) * Pi * (r ^ 2) * h

where r is the radius and h is the height.

they tell us that the height is equal to twice the radius, therefore

h = 2r; r = h / 2

replacing r in the volume of the cone:

Vc = (1/3) * Pi * ((h / 2) ^ 2) * h

solving we have:

Vc = (1/3) * Pi * (1/4) * (h ^ 2) * h

Vc = (1/12) * Pi * h ^ 3

They give us the change in volume with respect to time, that is, dV / dt = 50

It can also be expressed in the following way:

dV / dt = (dV / dh) * (dh / dt)

We know V, so we can derive with respect to h, we are like this:

dV / dh = 3 * (1/12) * Pi * h ^ 2

dV / dh = (1/4) * Pi * h ^ 2

we know that h is equal to 14, therefore:

dV / dh = (1/4) * Pi * 14 ^ 2

dV / dh = (1/4) * 3.14 * 196 = 153.86

Now if we replace

dV / dt = (dV / dh) * (dh / dt)

50 = 153.86 * (dh / dt)

(dh / dt) = 50/158.36

(dh / dt) = 0.3249

This means that the change in height with respect to time is 0.325 feet per minutes.

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3 years ago

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