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3 years ago

Define a two column proof

Mathematics

2 answers:

kkurt [141]3 years ago

8 0

Answer:

Step-by-step explanation:

eimsori [14]3 years ago

6 0

Answer: The two-column proof is the method we use to present a logical argument using a table with two columns.

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Suppose your school plans a musical. The directors goal is ticket sales of at least $4500. Adult tickets are $7.50 and student t

Evgesh-ka [11]

D because it says you will be getting at least 4500 or more dollars by adding the adult and student tickets

7 0

3 years ago

Among the eighth-graders in Micheal's school, 70% have siblings. The eighth-grade class is 5/6 the size of the seventh-grade cla

sladkih [1.3K]

OK so if 70% of students in 8th grade have siblings and 112 8th graders have siblings, then:

0.7(total 8th graders) = 112

total 8th graders = 112/0.7

total 8th graders = 160

And since the number of 8th graders is 5/6 the size of the 7th grade class:

5/6(7th grade class) = 160

5(7th grade class) = 960

7th grade class = 192.

<span>The correct answer is D) 192.</span>

4 0

3 years ago

Read 2 more answers

Ss below. <br> help would be appreciated.

sergeinik [125]

Answer:

(3,0,0)

Step-by-step explanation:

3x + 5y + z = 9 --------------(I)

-4y - z = 0 -------------------(II)

z = -4y

2x + 3y - 4z = 6 (III)

Substitute z = -4y in equation (I) and (III)

3x +5y - 4y = 9

3x + y = 9 -----------------------(a)

2x + 3y - 4*(-4y) = 6

2x + 3y + 16y = 6

2x + 19y = 6 -------------------(b)

Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x

(a)*(-19) -57x - 19y = -171

(b) <u> 2x + 19y = 6 </u>

-55x = -165

x = -165/-55

x = 3

Plugin x = 3 in equation (a)

3*3 + y = 9

9 + y = 9

y = 9 - 9

y = 0

Plug in y = 0 in equation (II)

-4*0 - z = 0

z = 0

5 0

2 years ago

Read 2 more answers

calculate the distance between the points E=(-1,-5) and F=(-8,1) in the coordinate plane. Give an exact answer (not a decimal ap

Elena L [17]

Answer:

The answer is

<h2> $\sqrt{85} \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-1,-5) and F(-8,1)

The distance between them is

$|EF| = \sqrt{ ({ - 1 + 8})^{2} + ({ - 5 - 1})^{2} } \\ = \sqrt{ {7}^{2} + ({ - 6})^{2} } \\ = \sqrt{49 + 36} \: \: \: \: \: \: \: \\ = \sqrt{85} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

$\sqrt{85} \: \: \: \: units$

Hope this helps you

7 0

3 years ago

Mrs Allen gave some peanuts to her children to take to the zoo. Zach got half the peanuts, Wendy got one-fourth of what was left

Effectus [21]

Answer:

240 peanuts

Step-by-step explanation:

Let x be the number of peanuts Mr. Allen had.

Zach got half the peanuts, then Zach got $\dfrac{x}{2}$ peanuts and

$x-\dfrac{x}{2}=\dfrac{x}{2}$ peanuts left.

Wendy got one-fourth of what was left, then Wendy got

$\dfrac{1}{4}\cdot \dfrac{x}{2}=\dfrac{x}{8}$ peanuts and

$\dfrac{x}{2}-\dfrac{x}{8}=\dfrac{3x}{8}$ peanuts left.

The twins, Ron and Don shared the remaining peanuts, then each of them got

$\dfrac{1}{2}\cdot \dfrac{3x}{8}=\dfrac{3x}{16}$ peanuts.

If Ron got 45 peanuts, then

$\dfrac{3x}{16}=45,\\ \\3x=45\cdot 16,\\ \\x=15\cdot 16,\\ \\x=240\ \text{peanuts.}$

8 0

3 years ago