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1 year ago

Solve for x. 4x−4<8 AND9x+5>23

Mathematics

2 answers:

djyliett [7]1 year ago

6 0

I think the first one is
x<3

And the second one is
x<2

Stella [2.4K]1 year ago

6 0

Answer:

x < 3 and x > 2

Step-by-step explanation:

We are to solve for 4x - 4 < 8 and 9x + 5 > 23

So 4x - 4 < 8,

4x < 8 + 4

4x < 12

x < 12/4

x < 3

And for

9x + 5 > 23

9x > 23 - 5

9x > 18

x > 18/9

x > 2

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A dealer bought 3 gross buttons at $.38 a dozen. He sold the buttons at 5 cents each. How much was his profit per gross?(12 doze

777dan777 [17]

Answer:

$2.64

Step-by-step explanation:

Selling them at 5 cents each ($0.05), he could sell 1 dozen buttons for

12 * $0.05 = $0.60

As he bought them at $0.38 per dozen, the profit per dozen would be

$0.60 - $0.38 = $0.22

As 12 dozen is 1 gross, the profit per gross would be

12 * $0.22 = $2.64

7 0

1 year ago

Read 2 more answers

Anthony, Brian and Chris are hired for a job. If Anthony and Brian are working together they will finish the job in minutes. If

Tcecarenko [31]

Answer:

12.5

Step-by-step explanation:

Let individual time taken by Anthony, Brian and Chris = t1 , t2 , t3 respectively

So, total time taken by A & B = 1 / t1 + 1 / t2 , lets suppose = 10 {i}

Total time taken by A & C = 1 / t1 + 1 / t3 , lets suppose = 15 {ii}

Total time taken by B & C = 1 / t2 + 1 / t3 , lets suppose = 20 {iii}

From {i} , 1 / t2 = 10 - 1 / t1

From {ii} 1 / t1 = 15 - 1 / t3

By above two eqtns , 1 / t2 = 10 - (15 - 1 / t3)

1 / t2 = 1 / t3 - 5

Putting in {iii} , 1 / t3 - 5 + 1 / t3 = 20

2 / t3 = 25

t3 = 12.5

5 0

1 year ago

Squaring both sides of an equation is irreversible. Is Cubing both sides of an equation reversible? Provide numerical examples t

nikitadnepr [17]

Answer:

<h2>Cubing both sides of an equation is reversible.</h2>

Step-by-step explanation:

Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.

In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example

$\sqrt[3]{x} =-1$

We cube both sides

$(\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1$

If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side

$\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1$

There you have it, cubing both sides of an equation is reversible.

4 0

1 year ago

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest poss

julia-pushkina [17]

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$