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4 years ago

What is the product of -3 1/4 × -1 1/2

Mathematics

2 answers:

Dmitry [639]4 years ago

4 0

For this case we must find the product of the following expression:

$-3 \frac {1} {4} * - 1 \frac {1} {2} =$

So, we have:

$(\frac {4 * (3) +1} {4}) * (\frac {2 * (1) +1} {2}) =\\\frac {12 + 1} {4} * \frac {2 + 1} {2} =\\(- \frac {13} {4}) * (- \frac {3} {2}) =$

By law of signs of multiplication is fulfilled:

$- * - = +\\\frac {13 * 3} {4 * 2} =\\\frac {39} {8}$

ANswer:

$\frac {39} {8}$

OLga [1]4 years ago

4 0

Answer:

$4\frac{7}{8}$

Step-by-step explanation:

$-3\frac{1}{4} \times -1\frac{1}{2} = -\frac{13}{4} \times -\frac{3}{2} = \frac{39}{8} = 4\frac{7}{8}$

I am joyous to assist you anytime.

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3 years ago

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ArbitrLikvidat [17]

Answer:

Adult = $7

Kids = $4

Step-by-step explanation:

Before we can find the price of the tickets, we first need to create expressions that can be used to explain the prices.

Let x = Price of kids tickets

Let y = Price of adults tickets

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3x + 9y = 75

For the last week the expression is:

8x + 5y = 67

Now to be able to find the value of x or y, we can use the Solving Linear Equations by Multiplying First Method.

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8x + 5y = 67

Now we need to remove either the x or y by multiplying the whole expressions by a certain number.

8(3x + 9y = 75)

24x + 72y = 600

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24x + 15y = 201

Now that we have our equations and we can eliminate the x by subtracting both expressions.

24x + 72y = 600

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To find the value of y, we divide both sides by 57.

$\dfrac{57y}{57}=\dfrac{399}{57}$

y = 7

Now that we have the value for y, we simply substitute the value in any of our expressions.

3x + 9y = 75

3x + 9(7) = 75

3x + 63 = 75

3x = 75 - 63

3x = 12

Now we divide both sides by 3 to find the value of x.

$\dfrac{3x}{3}=\dfrac{12}{3}$

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3 0

3 years ago

The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi

inessss [21]

Answer:

The height of cone is decreasing at a rate of 0.085131 inch per second.

Step-by-step explanation:

We are given the following information in the question:

The radius of a cone is decreasing at a constant rate.

$\displaystyle\frac{dr}{dt} = -7\text{ inch per second}$

The volume is decreasing at a constant rate.

$\displaystyle\frac{dV}{dt} = -948\text{ cubic inch per second}$

Instant radius = 99 inch

Instant Volume = 525 cubic inches

We have to find the rate of change of height with respect to time.

Volume of cone =

$V = \displaystyle\frac{1}{3}\pi r^2 h$

Instant volume =

$525 = \displaystyle\frac{1}{3}\pi r^2h = \frac{1}{3}\pi (99)^2h\\\\\text{Instant heigth} = h = \frac{525\times 3}{\pi(99)^2}$

Differentiating with respect to t,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)$

Putting all the values, we get,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)\\\\-948 = \frac{1}{3}\pi\bigg(2(99)(-7)(\frac{525\times 3}{\pi(99)^2}) + (99)(99)\frac{dh}{dt}\bigg)\\\\\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi} = (99)^2\frac{dh}{dt}\\\\\frac{1}{(99)^2}\bigg(\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi}\bigg) = \frac{dh}{dt}\\\\\frac{dh}{dt} = -0.085131$

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.

3 0

3 years ago

What is the product of -3 1/4 × -1 1/2​

What is the product of -3 1/4 × -1 1/2