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2 years ago

How are you supposed to do this

Mathematics

2 answers:

OlgaM077 [116]2 years ago

4 0

Answer:

4x < -8

you will need to isolate the variable to be by itself by performing the inverse property of multiplication which is division;

/4 /4(divide by 4 from both sides)

x < -2

Pavlova-9 [17]2 years ago

3 0

Answer:

4x < -8

you will need to isolate the variable to be by itself by performing the inverse property of multiplication which is division;

/4 /4(divide by 4 from both sides)

x < -2

Step-by-step explanation:

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Will somebody help me

Taya2010 [7]

I want to help U but I can't open that pic I'm sorry

5 0

3 years ago

A cube has side length a.The side lengths are decreased to 30% of their original size.Write an expression in simplest form for t

jeka94

Answer:

Volume V = 0.027a^3

Step-by-step explanation:

Let a represent the length of the side length of the cube.

a.The side lengths are decreased to 30% of their original size;

l = 30% of a

l = 0.3a .....1

The volume of a cube can be expressed as;

V = l × l × l

V = l^3 .......2

Where;

l = side length

Substituting the value of l into equation 2;

V = l^3 = (0.3a)^3

V = 0.027a^3

Volume V = 0.027a^3

5 0

3 years ago

Is the unit price of cantaloupe is 0.65 per ounce in Sally pays $1.95 for a cantaloupe how many pounds did she have her cantalou

Bumek [7]

So the cantaloupe she has is 3 ounces as 195 / 65 = 3 , and 3 ounces is equal to 0.1875 pounds as there are 16 ounces to a pound

4 0

3 years ago

Read 2 more answers

Mo has some sweets. He shares them out between x of his friends in 2 different wys. 7 sweets each with 2 leftover or 6 sweets ea

sveticcg [70]

Answer:

Mo is sharing the sweets between 5 friends

Step-by-step explanation:

An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.

If he chooses the first way to share the sweets:

7x + 2 = total number of sweets available.

This is because each of his friends gets 7 sweets each, with 2 leftovers. If we add them up, it will give the total number of sweets available to be shared.

If he chooses the second way to share the sweets:

6x + 7 = total number of sweets available.

This is because each of his friends gets 6 sweets each, with 7 leftovers. If we add them up, it will give the total number of sweets available to be shared.

because the total number of sweets do not change, we have

7x +2 = 6x +7

Grouping like terms,

7x - 6x = 7 - 2

x = 5.

Therefore, Mo is sharing the sweets between 5 friends

7 0

3 years ago

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

3 years ago