2x+5y=34, x+2y=14 solve the system of linear equations

QUESTION POSTED AT 18/01/2020 - 07:39 AM

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Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water. PART A: Write an equation in one variable that can be used to find the total number of liters of lemon juice and water in the bottle. Define the variable used in the equation.Part B: How many liters of lemon juice are present in the bottle? Show your work.

Part A:
there is 60% of lemon juice in a 1 liter of water
so 60% *OF* the 1 liter
( of technically means * in mathematics)
so 
60% * 1 liter
or 0.6 * 1 liter
Now to find the total number of liters of lemon juice and water in the bottle
(0.6*1)+x= 1
(x being the amount of water)

Part B: We can calculate the number of liters of lemon juice that are present in the bottle
60% * 1
0.6 * 1
that is 0.6
So there is 0.6 liters of lemon juice in the bottle

Hope this helps :)

ANSWERED AT 20/02/2020 - 11:19 AM


QUESTION POSTED AT 20/02/2020 - 11:19 AM

Which of the following equations is equivalent to y = 2/3x +1/4 y = 8x + 3 12y = 2x + 1 12y = 8x + 3

Answer:  The correct option is

(C) 12y=8x+3.

Step-by-step explanation:  We are given to select the correct equation that is equivalent to the following equation :

y=\dfrac{2}{3}x+\dfrac{1}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To check the equivalent expression, we need to simplify equation (i).

The simplification of equation (i) is as follows :

y=\dfrac{2}{3}x+\dfrac{1}{4}\\\\\\\Rightarrow y=\dfrac{2\times4x+1\times3}{12}\\\\\\\Rightarrow y=\dfrac{8x+3}{12}\\\\\Rightarrow 12y=8x+3.

Thus, the required equivalent equation is 12y=8x+3.

Option (C) is CORRECT.

ANSWERED AT 20/02/2020 - 11:15 AM


QUESTION POSTED AT 20/02/2020 - 11:15 AM

Solve. picture attached

Simplified, here is your answer.

ANSWER: 3x^7 / y

ANSWERED AT 20/02/2020 - 11:13 AM


QUESTION POSTED AT 20/02/2020 - 11:13 AM

Martha spent $38.45 on a new shirt and now has $17.71 in her pocket. Which equation can be used to find how much money, x, she had in her pocket before buying the shirt? x−38.45=17.71 x + 17.71 = 38.45 17.71x = 38.45 x + 38.45 = 17.71

X - 38.45 = 17.71 
x = 17.71 + 38.45
x = $56.16  ( Martha had in her pocket before buying the shirt )
Answer:
A )  x - 38.45 = 17.71

ANSWERED AT 20/02/2020 - 11:06 AM


QUESTION POSTED AT 20/02/2020 - 11:06 AM

To rewrite an equation in function notation, replace the ___ variable (which is often “y”) with f(x).

Dependent variable is the y value i think.

ANSWERED AT 20/02/2020 - 11:02 AM


QUESTION POSTED AT 20/02/2020 - 11:02 AM

Write a linear expression in simplest form to represent the perimeter of the trapezoid. Then find the perimeter if the value of x is 7 yards. The sides of the trapezoid are (going in a clockwise direction starting from the top): (7x + 3) yd (6x + 3 ) yd (5x) yd (6x + 3) yd

Here, Out of all the options, Most appropriate expression for the linear value would be: Y = 5x
Where, y = perimeter of trapezoid
x = a base.

Now, x = 7, then, 
Y = 5(7)
Y = 35

In short, Your Answer would be Option C & 35

Hope this helps!

ANSWERED AT 20/02/2020 - 10:21 AM


QUESTION POSTED AT 20/02/2020 - 10:21 AM

Solve a math problem

1000 times 1 + 2 = 1002 
Done done done done done done done done done!!

ANSWERED AT 20/02/2020 - 10:08 AM


QUESTION POSTED AT 20/02/2020 - 10:08 AM

What is the equation of a hyperbola with a = 6 and c = 8? Assume that the transverse axis is horizontal.

The standard equation for a hyperbola with a horizontal transverse axis is 

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
 . The center is at (h, k) . The distance between the vertices is 2a . The distance between the foci is 2c and c^2 = a^2 + b^2. Therefore,

8^2 = 6^2 + b^2
b = 2
√7
Assuming it is located at the origin.

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
(x)^2/6^2 - (y)^2/(2√7)^2  = 1
x^2/36 - y^2/28  = 1

ANSWERED AT 20/02/2020 - 09:54 AM


QUESTION POSTED AT 20/02/2020 - 09:54 AM

Which scenario is represented by this equation? 1200 =3×+120

G. is your answer have a nice evening

ANSWERED AT 19/02/2020 - 06:08 PM


QUESTION POSTED AT 19/02/2020 - 06:08 PM

Find the value of x that fits the equation: 24x - (3 - 0.06x) = 4(0.7 + 6).

24x-3+0.06x=4(6.7)
24.06x-3=26.8
24.06x=29.8
x=about 1.24

ANSWERED AT 19/02/2020 - 06:01 PM


QUESTION POSTED AT 19/02/2020 - 06:01 PM

Which number, when substituted for x, makes the equation 4x+8=164x+8=16 true?

Answer:

x=2

Step-by-step explanation:

We have been given an equation 4x+8=16. we are asked to find the value of x that makes our given equation true.

Let us solve our given equation for x using opposite operations.

Subtract 8 from both sides:

4x+8-8=16-8

4x=8

Divide both sides by 4:

\frac{4x}{4}=\frac{8}{4}

x=2

Therefore, x=2 is the solution for our given equation.

Let us verify our answer:

4x+8=16

4(2)+8=16

8+8=16

16=16

Both sides are equal. Hence proven x=2 is solution for our given equation.

ANSWERED AT 19/02/2020 - 04:35 PM


QUESTION POSTED AT 19/02/2020 - 04:35 PM

What kind of growth model (pattern) is shown in the table? x y 1 5 2 25 3 125 4 625 5 3,125 a. square root b. linear c. exponential d. quadratic

Answer:

Option C is correct.

The kind of growth model is shown in the table is exponential

Step-by-step explanation:

Exponential growth function is in the form of :  y = ab^x  ......[1];   where a is the initial value and b> 0.

Consider any two point from the table:

(1 , 5) and ( 2 , 25)

Substitute these in the equation [1] we get;

5 = ab^1         ......[2]

25 = ab^2      ......[3]

Divide equation [3] by [2] we have;

\frac{25}{5} = \frac{ab^2}{ab}

Simplify:

5 = b

Now substitute this value in equation [2] we get;

5 = a \times 5

Divide both sides by 5 we get;

\frac{5}{5} = \frac{5a}{5}

Simplify:

1=a or a = 1

Therefore, the table shown the  exponential growth function is, y = 5^x

ANSWERED AT 19/02/2020 - 03:44 PM


QUESTION POSTED AT 19/02/2020 - 03:44 PM

Find the value of "a" for which the graph of the first equation is perpendicular to the graph of the second equation. 1) equation : y=a/3x-6 2) equation 4x+2y=6 Their is the same problems but different equation.1) 3y+ax=8 2)3/4x+2

Perpendicular lines will have negative reciprocal slopes. Example : if u r given a slope of 1/3, to find the negative reciprocal, flip the slope and change the sign. So the negative reciprocal of 1/3 is -3/1 or just -3. So slope 1/3 and slope -3 are perpendicular.
==================
equation 2 : 
4x + 2y = 6
2y = -4x + 6
y = -2x + 3...the slope here is -2....a perpendicular line will have a slope of 1/2.

y = (a/3)x - 6......so we have to make a/3 = 1/2......1.5/3 = 1/2
so a = 1.5
===================
eq. 2 : 3/4x + 2
not sure what the entire equation is.....but it looks to have a slope of 3/4. That means a perpendicular line will have a slope of -4/3.

3y + ax = 9
3y = -ax + 9
y = (-a/3)x + 3.....therefore, a has to be 4


ANSWERED AT 19/02/2020 - 02:18 PM


QUESTION POSTED AT 19/02/2020 - 02:18 PM

How to find an equation of a line when given two points

Using any specific formula or what?

ANSWERED AT 19/02/2020 - 01:41 PM


QUESTION POSTED AT 19/02/2020 - 01:41 PM

Which of the following best describes the solution to the system of equations below? 7x + 4y = 8 7x + 4y = 13 A. The system of equations has exactly one solution where x=8 and y=13 . B. The system of equations has infinitely many solutions. C. The system of equations has no solution. D. The system of equations has exactly one solution where x=0 and y=2 .

The answer is D !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!                                                                               

ANSWERED AT 19/02/2020 - 01:34 PM


QUESTION POSTED AT 19/02/2020 - 01:34 PM

Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function. What is the size of the cutout he needs to make so that he can fit the maximum amount of food in the box? If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be? What would be the dimensions of this box? Using complete sentences, explain the connection between the cutout and the volume of the box. Design an equation that would work for any cardboard sheet length, q, and width, p.

For the answer to the question above,

1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4

2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57

3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65

4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.

5. V = (q -2x) (p - 2x) (x)

ANSWERED AT 19/02/2020 - 01:10 PM


QUESTION POSTED AT 19/02/2020 - 01:10 PM

(-3×-7)+(4x+7) pleasw solve this

-3x -7 + 4x + 7

= 4x - 3x - 7 + 7

= x - 7 + 7

= x

Or.. if your are doing it this way then it would be

(-3 * -7) + (4 +7)

= 3 * 7 + 4 +7

= 21 + 4 + 7

= 32

Hope these help! :)

ANSWERED AT 19/02/2020 - 11:44 AM


QUESTION POSTED AT 19/02/2020 - 11:44 AM

What number does ▲ stand for in this equation? 6 × 3 = (▲ × 5) – (▲ × 2)

It stands for the number 6

hope this helps you

ANSWERED AT 19/02/2020 - 11:29 AM


QUESTION POSTED AT 19/02/2020 - 11:29 AM

Solve 12^x-2=20 round to the nearest ten-thousandth

12^x = 22 
x * log 12 = log 22 
finsih that then you round it to the nearest thousandth 
that's what i learnt.

ANSWERED AT 19/02/2020 - 11:21 AM


QUESTION POSTED AT 19/02/2020 - 11:21 AM

Solve x + x + 2 + 2x = -2.

X=-1 is the answer i beleive

ANSWERED AT 19/02/2020 - 09:42 AM


QUESTION POSTED AT 19/02/2020 - 09:42 AM

Write an equation point slope form for the line that goes through the given point with the given slope. (-4,-2);m=-1/2

Y - y1 = m(x - x1)
slope(m) = -1/2
(-4,-2)...x1 = -4 and y1 = -2
now we sub
y - (-2) = -1/2(x - (-4) =
y + 2 = -1/2(x + 4) <=====

ANSWERED AT 19/02/2020 - 01:12 AM


QUESTION POSTED AT 19/02/2020 - 01:12 AM

How would you graph this linear equation x-5=0

First thing you should realize is that the only variable is x. Isolate x by adding 5 to both sides. This should give you

x = 5

This should have a line drawn straight down on the x-axis at x = 5
Hopes this helps :D

ANSWERED AT 19/02/2020 - 01:04 AM


QUESTION POSTED AT 19/02/2020 - 01:04 AM

What is the slope for the equation -1/2x-y=3/4

-1/2x - y = 3/4
-1/2x - 3/4 = y....so u have a slope of -1/2

ANSWERED AT 19/02/2020 - 01:03 AM


QUESTION POSTED AT 19/02/2020 - 01:03 AM

Which is an equation in a slope intercept form for the line passing through (5,1) and (-4,7) A: y=-2/3x+13/3 B: y=-2/3x-13/3 C: y=2/3x-13/3 D: y=2/3x+13/3

The answer is A.
tbch i plugged them into a graphing calculator... ,:D too tired atm

ANSWERED AT 19/02/2020 - 01:00 AM


QUESTION POSTED AT 19/02/2020 - 01:00 AM

The table below shows some input and output values for a function named F(n). Which of the following equations describes F(n)?

The equation in choice-'C' describes F(n).

ANSWERED AT 19/02/2020 - 12:59 AM


QUESTION POSTED AT 19/02/2020 - 12:59 AM