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3 years ago

If one set of 16 ping-pong balls cost $8, how much will 320 ping-pong balls cost???

Mathematics

1 answer:

baherus [9]3 years ago

7 0

2,560 :) you have to times 8 by 320 8x320=2,570

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If the diagonal of a square is 11.3 meters, approximidley what is the perimeter of the square?

Andrei [34K]

Answer:

About 9.6 meters

Step-by-step explanation:

Refer to attachment

8 0

3 years ago

A side of the triangle below has been extended to form an exterior angle of 164". Find

Arada [10]

Given:

Measure of exterior angle = 164°

The measure of opposite interior angles are x° and 53°.

To find:

The value of x.

Solution:

According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.

Using Exterior Angle Theorem, we get

$x^\circ+53^\circ=164^\circ$

$x^\circ=164^\circ-53^\circ$

$x^\circ=111^\circ$

$x=111$

Therefore, the value of x is 111.

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3 years ago

Evaluate the series. A)125 B) 38 C) 210 D) 165

Reika [66]

165 is answer we also use a formula
5 ( n/2(2a + ( n-1)d)
in that n=6 ,a=3 , d= 1

4 0

3 years ago

Read 2 more answers

An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn

Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43 inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24, this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative value ( -49.7) so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0

2 years ago

20)

Natali5045456 [20]

Answer:

The correct option is A) The growth factor of the investment.

Step-by-step explanation:

Consider the provided exponential function.

$V(t) = 30,000(1.125)^t$

Where V(t) is the total value after t years.

Here the function is in the form of Exponential Growth:

$y = a(b)^x$

Where b value is the growth factor.

By comparing we get that the constant '1.125' represents the growth factor by which our value is increasing each year.

Constant '30,000' represents the initial value i.e. the investment made.

Hence, the correct option is A) The growth factor of the investment.

7 0

3 years ago