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3 years ago

What is the first step in the indirect proof?

1 answer:

4 0

A) If you have 12 dogs and cats (I assume 12 in total) and divide those by two, you get six dogs and six cats. It has to be more dogs than cats, and the sum of those two has to be twelve. So to reach the sum 12, while one number is bigger that the other, the number has to be 7 or more.

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The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?

34kurt

Answer:

115.3333

Step-by-step explanation:

346/3

Hope this helps. :)

7 0

3 years ago

Which linear equation has no solution?

olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

a. 3x-5= 3x + 5
b. 3x-5= 3x - 5
c. 3x - 5 = 2x+5
d. 3x-5 = 2x + 10

To find:

Which one of the linear equations have no solution.

Solution:

a) 3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b) 3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c) 3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify 2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, Option A is the linear equation that has no solution.

3 0

2 years ago

Read 2 more answers

Audryn left a $12 tip on a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.

Fiesta28 [93]

So, if we take 68.73 to be the 100%, what is 12 in percentage off of it?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
68.73&100\\
12&p
\end{array}\implies \cfrac{68.73}{12}=\cfrac{100}{p}\implies p=\cfrac{12\cdot 100}{68.73}$

seems Audryn is being generous, she probably got the silverware and the maple leaves tablecloth.

4 0

4 years ago

Find r 25= r•r•8 hurry go fast please

ELEN [110]

Answer:

$r = \frac{5}{2\sqrt{2} } \\r = -\frac{5}{2\sqrt{2}}$

Step-by-step explanation:

25= r•r•8 ⇔ 25/8 = r²

then

$r^{2} =(\frac{5}{2\sqrt{2} } )^{2} \\\\Then\\\\r = \frac{5}{2\sqrt{2} } \\Or\\r = -\frac{5}{2\sqrt{2}}$

7 0

3 years ago

. Ralph’s Fill Dirt and Croissant Shop in Spencer makes both grand and petit croissants. Each grand requires 1 ounce of flour an

Gwar [14]

Answer:

Step-by-step explanation:

let G be the number of grand croisssants, and P the number of petit croissants :

we have that 1 ounce of flour and 2 ounces of butter result in one G.

additionally, we have that 1/4 ounce of flour and 1/3 ounce of butter result in one P.

Ralph has 4 ounces of flour and 6 ounces of butter, If he bakes more than 1 G then he will never use all of his ingredients!, let's see:

1 G:

he now has 3 ounces of flour, and 4 ounces of butter,

now we need to figure out how many P's we would obtain with such amounts:

let x be the number of P's

$1/4*x = 3=>x=12\\ 1/3*x=4=>x=12$

which is reasonable, Ralph can bake 12 P's,

now with more than 1 G:

2G:

Ralph has now 2 ounces of flour and 2 ounces of butter, now we have to figure out that x is the same using the remaining ingredients

$1/4*x = 2=>x=8\\ 1/3*x=2=>x=6$

This is impossible.

3G:

he runs out of butter.

There is the answer, he is able to bake 1 grand croissant and 12 petit croissants

7 0

3 years ago