For a science experiment, Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolved 2.0 pounds of salt in 7.0 pints of water. Which person made a more concentrated salt solution? Explain. Use 1 L = 2.11 pints. Round your answer to the nearest hundredth.

Answer:

The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.

Step-by-step explanation:

The angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.

When the three sides of a triangle is known, then to find any angle, the law of cosine is used. It can be given as,

[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C.

All the points of intersection of given angle A, B  and C keeps the different value as all the sides of the triangle is not equal.

The length of the angle C using the above formula,

[tex]5^2=4.24^2+6.08^2-2(4.24)(6.08)\cos (C)\\C=\cos^{-1}(0.581)\\C=54.48^o[/tex]

Similarly, the measure of angle B,

[tex]6.08^2=5^2+4.24^2-2(5)(4.24)\cos (B)\\B=\cos^{-1}(0.142)\\B=81.83^o[/tex]

The measure of angle A,

[tex]4.24^2=5^2+6.08^2-2(5)(6.08)\cos (A)\\A=\cos^{-1}(0.7235)\\A=43.65^o[/tex]

The length of the side opposite to angle A is 4.24 units, side opposite to angle B is 6.08 units and side opposite to angle C is 5 units.

All the sides and angles of the triangle are different from each other. This triangle ABC is a scalene triangle.

When all the point of intersection of provided line intersect at a single point. Then all the points of intersection resemble one another.

Thus, the angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.

Learn more about the law of cosine here;

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Answer:

It is a rational number

Step-by-step explanation:

Answer:5 is a rational number

Step-by-step explanation:

Answer:

C. Multiply/divide both sides by the same non-zero constant

A. Yes

Just Did It On Khan Academy

Step-by-step explanation:

To get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Two linear equations:

A.   3(x + 2) = 18

B.    x + 2 = 18

In equation B multiply by 3 on one side:

3(x + 2) = 18

Thus, to get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

Learn more about the linear equation here:

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Answer:

-3x-24

Step-by-step explanation:

9x - 3(4x+8)

Distribute

9x - 12x - 24

Combine like terms

-3x -24

Answer: -3x-24

Step-by-step explanation:

Answer:

12+2x=46     x=17 cookies

Step-by-step explanation:

First you are going to double the number of students because each student is getting 2 cookies. Then you will subtract 12 from 46 and that gets you 34. Then you will divide 2 by 34 to get how many cookies she needs to bake. 17 more cookies. To check your work plug in 17 by the x. so 2 times 17 is 34 plus 12 is 46 so that answer is correct.

Answer:

Y>-4

Step-by-step explanation:

Add 11 to both sides and divide

Answer:

y > - 4

Step-by-step explanation:

Given

2y - 11 > - 19 ( add 11 to both sides )

2y > - 8 ( divide both sides by 2 )

y > - 4

Answer:

i hope it helps you and best of luck : )♥

Answer:

y= 4(x) + 3(5x)

$19

Step-by-step explanation:

Answer: just divide and its prett easy from there

Step-by-step explanation:

Answer:

Function 2 has the larger maximum at 1, -14

Explanation:

When you graph the equation, you can find the maximum of function 2 at 1, -14

Answer:

chicken

Step-by-step explanation:

pizza and fries and boom your done theres your answer I hope i helped you a lot!

Answer:

X= 11/2

Step-by-step explanation:

Answer

X(2, -8)

Step-by-step explanation:

-8 and -3 have a distance of 5

6 and -1 have a distance of 7

-3 + 5 = 2

-1-7 = -8

(2, -8) is the answer

The coordinates of the Point X will be -  X(2, -8).

The Mid - point of the line segment is at coordinates -  M(- 7.5, 0.5)

We have two coordinate points -  M(-3, -1) and  Y(-8, 6)

We have to find the coordinates of the Point X.

It states that a line with endpoint coordinates as - [x(1), y(1)] and

[x(2), y(2)] has its mid - point at the coordinates -

[tex](X_{m} ,Y_{m}) =[/tex] [tex](\frac{x(1) + x(2) }{2}, \frac{y(1) + y(2)}{2} )[/tex]

According to question, we have -

coordinates of Mid - Point = (- 3, -1)

coordinates of Y = (- 8, 6)

Using the Mid - Point formula -

-3 x 2 = x(1) - 8

x(1) = - 6 + 8

x(1) =  2

and

-1 x 2 = y(1) + 6

y(1) = -2 - 6

y(1) = - 8

Hence, the coordinates of the point X will be - X(2, -8)

To solve more questions on Mid - points, visit the link below -

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Answer:

q = 3.5

Step-by-step explanation:

-15 = 5(3q - 10) - 5q

-15 = (5*3q + 5*-10) - 5q

-15 = 15q - 50 - 5q

-15 + 50 = 15q - 5q

35 = 10q

q = 35/10

q = 3.5

Check:

-15 = 5(3*3.5 - 10) - 5*3.5

-15 = 5(10.5 - 10) - 17.5

-15 = 5*0.5 - 17.5

-15 = 2.5 - 17.5

When something is bisected, it is cut into two equal halves.

We know that SV cut RST into two parts.

Those two parts are RSV and VST

RSV = 64 and VST = 64

RST = RSV + VST = 64 + 64 = 128

The correct answer should be 128

Answer:

I.128

Step-by-step explanation:

Since SV bisected angle RST, the angle is split in two by equal parts, therefore RSV + VST = RST

64 + 64= 128

128°= RST

B. NPO

Because P is the middle letter in the arc.

Answer: B. NPO

Step-by-step explanation: the angle has to be in middle

Answer:

-18

Step-by-step explanation:

you add 12 and six together and you get 18. Then you put a negative sign in front of it

Answer:

Step-by-step explanation:

V = π r² h

where r = 3 cm

V = 36π cm³

solve for h

plugin values into the formula:

36π = π 3² h

h = 36π

      π 3²

h = 4 cm

Answer:

See Below

Step-by-step explanation:

Isolate x, so add 5 to each side

-2.49 =  -5 + x

+5.00    +5

3.49 = x

Answer:

x= 251/100

=2.51

How: -2.49=-5+x

              +5 =+5

          2.51=x

Answer:−xy2+x2−11xy+y2+3x+2y−8

Step-by-step explanation:

Answer:

Distribute

Step-by-step explanation:

The first step in solving this equation is distribute (get rid of parentheses):

2x + 2 = 8x -5

Hope this helps ^^

Answer:

Distributive property is not applied currently in Step 1

Step-by-step explanation:

3(x + 15) = y

3x + 45 = y rather than 3x + 15 = y

Answer:

x is 4

Step-by-step explanation:

Step one: Add 12x to both sides-

8x-19+12x=-12x+61+12x

20x-19=61

Step 2: add 19 to both sides

20x -19+19=61+19

20x=80

Step 3: divide both sides by 20

20x/20=80/20

x=4

Step-by-step explanation:

2(2x - 6) + 2(x + 3) = 26

4x - 12 + 2x + 6 = 26

4x + 2x -12 + 6 = 26

6x - 6 = 26

6x = 26 + 6

6x = 32

x =32/6

x = 5.3333

Answer:

Step-by-step explanation:

2(2x -6) + 2(x + 3) = 26

4x - 12 + 2x + 6 = 26

6x - 6 = 26

6x = 32

x = 32/6= 16/3

Answer:

$48

Step-by-step explanation:

From the question we know that;

His regular pay is $32 per hour.

Tom worked 48 hours last week and gets time-and-a-half pay for overtime.

Time and a half pay = 1.5

Hence, if Tom works for an hour of overtime, his pay for his overtime is calculated as:

= 1.5 × $32 × 1

= $48

Therefore, he was paid $48 for one hour of overtime.