Which best describes the polygon whose vertices in the coordinate plane are (–3,0) (3, 0), (0,

Three subtracted from twice a number equals 31 more than three times the number. find the number

Ksivusya [100]

Answer:

34

Step-by-step explanation:

Let the no. be x,

2x-3=3x+31

3x-2x= -3-31

x= -34

5 0

3 years ago

How much of 30% HCI and 45% HCI would be needed to mix and produce 50 liters of 35% HCI

VladimirAG [237]

Answer:

33 1/3 liters of 30%
16 2/3 liters of 45%

Step-by-step explanation:

Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...

0.45x +0.30(50 -x) = 0.35(50)

0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)

x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl

33 1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.

_____

Comment on the solution

You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...

(mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3

5 0

3 years ago

What are order of operations and which do i do first

Marina86 [1]

Answer:

PEMDAS

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

The first step or what you solve first is parenthesis

3 0

3 years ago

Read 2 more answers

What is the third quartile of this data set? 20, 21, 24, 25, 28, 29, 35, 37, 42

nata0808 [166]

Answer:

36

Step-by-step explanation:

⇒The question is on third quartile

⇒To find the third quartile we calculate the median of the upper half of the data

Arrange the data in an increasing order

20, 21, 24, 25, 28, 29, 35, 37, 42

Locate the median, the center value

20, 21, 24, 25, 28, 29, 35, 37, 42

The values 20, 21, 24, 25 ------------lower half used in finding first quartile Q1

The value 28 is the median

The vlaues 29, 35, 37, 42...............upper half used in finding 3rd quartile Q3

Finding third quartile Q3= median of the upper half

upper half= 29,35,37,42

median =( 35+37)/2 = 36

6 0

3 years ago

Michael is using a drawing program to complete a construction. Which construction is he completing? A circle is drawn with two p

Cloud [144]

Answer: A square inscribed in a circle.


Justification:

Note that by making two perpendicular lines that intersect each other in the center of the circle, he obtains 4 equidistant points on the circumference.

So, joining each pair of neighbouring points, the image will reveal 4 congruent sides joining at right angles (90°). This is the image of a square with the four vertices on the circumference.

5 0

3 years ago

Which best describes the polygon whose vertices in the coordinate plane are (–3,0) (3, 0), (0, –3)?