In order to solve the following system of equations by addition, which of the following could you do before adding the equations so that one variable will be eliminated when you add them? 2x-4y=5 6x-3y=10 A.Multiply the top equation by -3 and the bottom equation by 2. B.Multiply the top equation by -2. C.Multiply the top equation by -3. D.Multiply the top equation by 3 and the bottom equation by 4.

Answers

Answer 1
C should be the answer. Why?
2x - 4y = 5
6x - 3y = 10
Multiply by -3 to the top equation will eliminate the x variable in the system
-3(2x - 4y = 5)
    6x - 3y = 10
==> -6x + 12y = -15
        6x - 3y = 10
adding top with bottom will eliminate the x
==> -6x + 6x = 0, 12y + (-3y) = 9y, -15 + 10 = -5

Answer 2

Answer:

c is correct

Step-by-step explanation:


Related Questions

PLEASE HELP ASAP!!!
The first figure is dilated to form the second figure.

Which statement is true?

The scale factor is 0.8.
The scale factor is 1.25.
The scale factor is 2.0.
The scale factor is 18.0.

Answers

The scale factor is 1.25. 

10/8=1.25.

Answer: The answer is (a) The scale factor is 1.25.

Step-by-step explanation:  We are given two figures in the question, where the second one is dilated from the first one. We are to find the scale factor here.

One side of the dilated figure is of length 10 inch and the original figure has a side of length 8 units.

Therefore, the scale factor is given by

[tex]S.F.=\dfrac{10}{8}=1.25.[/tex]

Therefore, the scale factor is 1.25 and (B) is the correct option.

What is the value of n?

Enter your answer in the box.

n =

Answers

If two chords intersect each other inside a circle, the products of their segments are equal.

18(n+1) = 9(n+7)
18n + 18 = 9n + 63
18n - 9n = 63 - 18
9n = 45
n = 45/9
n = 5

Answer:

n = 5

Step-by-step explanation:

This problem follows the theorem "If two chords intersect each other inside a circle, the products of their segments are equal."

To follow this theorem, you must multiply both segments of the chord with each other.

Do it to both chords.

The two chords are equal to each other. It should look like:

18*(n+1) = 9*(n+7)

[distributive property]

18n + 18 = 9n + 63

9n = 45

n = 5

Nina has $5 bills and $10 bills in her wallet. she has a total of 7 bills with a value of $55. how many of each type of bill does she have? show all work to justify your answer.

Answers

the answer is 3 fives and 4 tens

Express 8.12 as a mixed number.

Answers

8.12 as a mixed number is 203/25
Hey there!

Let's keep our goal in mind. A mixed number is a whole number and a fraction together. SInce we already have our whole number, 8, we need to make .12 a fraction.

If we look at .12, we see that that 12 is in the hundredths place. When you go to whole numbers, you have tens, hundreds, and so on. When you go to fractions, it goes tenths, hundredths and so on.

That means that since the 12 is in the hundredths, it's 12 hundredths, or 12/100. 

That means our mixed number is 8 12/100


Hope this helps

Find the retail price of a backpack that has a wholesale price of $25 and is marked up 40%. Multiply $25 and 40% in decimal form to find the markup amount. 25(0.40) = $10 Add the wholesale price to the markup amount. What is the selling price? $10 $15 $35 $65

Answers

$35 is your answer, just do 25(0.40) which gives you 10 so add that to your original 25+10=35

Answer:

35   35          35             35

Step-by-step explanation:

it 35

A rectangular solid is dilated by a factor of 0.5.

How many times larger is the volume of the resulting solid than the volume of the original solid?



Enter your answer as a decimal in the box.

Answers

Answer:

0.125 took test

Step-by-step explanation:

Volume of the resultant solid will be 0.125 times of the original solid.

Volume scale factor of a rectangular solid:If the sides of a rectangle solid is dilated by a scale factor 'k',

        Volume of the solid will be given by the expression,

        Volume = (k)³(Volume of the original solid)

If a rectangular solid is dilated by a scale factor 'k' = 0.5

Volume of the resultant solid = (0.5)³(Volume of the original solid)

                                                = 0.125(Volume of the original solid)

       Therefore, volume of the resultant solid will be 0.125 times of the original solid.

Learn more about the dilation of a rectangular solid here,

https://brainly.com/question/2919998?referrer=searchResults

Write a two-column proof
it says Given: the top number is 2x+6 and the bottom number is 96. Prove: x = 45
It's a little blurry sorry. Please help me I have never understood two-column proofs and they don't make sense to me
Thank you

Answers

Hello!

You just have to solve the equation and justify each step along the way:

2x + 6, 96       Given
96 = 2x + 6     Vertical angles are congruent
90 = 2x           Subtraction Property of Equality
45 = x             Division Property of Equality

And that's all there is to it! I hope this helps you. (:

A species of catfish, can generate up to 350 voltsWrite an inequality to represent the amount of electricity generated by the catfish

Answers

catfish≤350 because the catfish cannot generate more than 350 volts.

The inequality to represent the amount of electricity generated by the catfish, which can generate up to 350 volts, is:  [tex]\[ 0 \leq E \leq 350 \][/tex] where [tex]\( E[/tex]  represents the amount of electricity in volts.

This inequality indicates that the electricity generated by the catfish is at least 0 volts and at most 350 volts. The lower bound of 0 volts is included because the catfish cannot generate negative voltage, and the upper bound of 350 volts is the maximum it can generate.

1.66666666667 rounded to the tenth

Answers

Hey there! :D

The tenth place is where the first 6 is, so:

1.666666666667= 

1.7 because 6>5

I hope this helps!
~kaikers
To round a number to the tenth, any number greater than or equal to 5 will round up and anything less than 5 round down.
So, the number after the tenths place is a 6 which is greater than 5, so you would round up.
So, your answer would be 1.7

Noah was asked to find the median of the following numbers.


115, 109, 117, 136, 127, 131


Noah’s work is shown below.


109, 115, 117, 127, 131, 136


mc006-1.jpg


What error, if any, did Noah make?


A)He forgot to put the numbers in order first.


B)He crossed off the high/low number pairs incorrectly.


C)He left out a number when putting the numbers in order.


D)He did not make any error.

Answers

D. Noah didn't make any error.

1. he makes the numbers in order
2. he didn't cross off the high/low number pairs incorrectly
3. he didn't leave out a number

find the value of x

Answers

84 degrees is the answer

First, lets assign label to the interior angles of the triangle.
Since angle 130° and angle A are on the same straight line, they are supplementary angles; therefore:
[tex]130+A=180[/tex]
[tex]A=180-130[/tex]
[tex]A=50[/tex]

Next, angle B and angle 134° are also on the same straight line, so they are supplementary as well, which means:
[tex]B+134=180[/tex]
[tex]B=180-134[/tex]
[tex]B=46[/tex]

Now, to find angle C remember that the sum of the interior angles of a triangle is 180°; therefore:
[tex]A+B+C=180[/tex]
[tex]50+46+C=180[/tex]
[tex]C=180-50-46[/tex]
[tex]C=84[/tex]

Finally, we also know that angle [tex]x[/tex] and angle C are on the same line, so they are supplementary angles just like before; therefore:
[tex]x+C=180[/tex]
[tex]x+84=180[/tex]
[tex]x=180-84[/tex]
[tex]x=96[/tex]

We can conclude that the measure of our angle [tex]x[/tex] is 96°.

6 cards are drawn from a standard deck without replacement how many different 6 card hands are possible if the drawing is done without replacement

Answers

=52*51*50*49*48*47 divided by 1*2*3*4*5*6

14658134400 / 720

20358520

Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be filled, and after 5 minutes, he had 25 cups left to be filled. Mary’s progress is shown in the table of values below. Assuming that both Jorge and Mary are filling cups at a constant rate, which statement is correct?


Mary’s Cup-Filling Progress
Time (minutes)

0.5

1

1.5

2

2.5
Cups Remaining

99

81

63

45

27

Jorge is filling 14 cups per minute, which is faster than Mary.
Jorge is filling 28 cups per minute, which is faster than Mary.
Mary is filling 18 cups per minute, which is faster than Jorge.
Mary is filling 36 cups per minute, which is faster than Jorge.

Answers

Answer:

Mary is filling 36 cups per minute, which is faster than Jorge.

Step-by-step explanation:

Lets get Jorge's time :

As the rate is constant, we can find the slope to know the number of cups he is filling per minute.

Slope is found using: [tex]\frac{y2-y1}{x2-x1}[/tex]

= [tex]\frac{53-25}{5-3}[/tex]

= [tex]\frac{28}{2}=14[/tex]

From the table lets get Mary's time:

[tex]\frac{99-81}{1-0.5}[/tex]

= [tex]\frac{18}{0.5}=36[/tex]

Another data: [tex]\frac{63-45}{2-1.5}[/tex]

=  [tex]\frac{18}{0.5}=36[/tex]

Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.

Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.

Answer:

Mary is filling 36 cups per minute, which is faster than Jorge.

Step-by-step explanation:

which statement best describes the function below?

f(x)=2x^2-3x+1

A.It is a one-to-one function.
B.It fails the vertical line function.
C.It is a many-to-one function.
D.It is not a function.

Answers

it is a parabola, there are two x values (symmetrical across the line x=-b/2a)for the same y value, so it is a many-to-one function. 

f(x)=2x^2-3x+1

the graph of the function is attached with the answer

As we can see that equation is quadratic and its graph is a parabola facing upward.

As we can see it passes the Vertical line test

As it passes the Vertical line test , So it is a function

And two values of x has one value of y

So it is a many to one function.


An initial deposit of $5325 was made into an account that compounds interest semi-annually. No other deposits were made. At the end of 13 years, the balance in the account had doubled. Find the interest rate on this account.

Answers

Answer: R = 5.404% per year

Formula: Where: r = n[(A/P)^1/nt - 1]

If sec a = 5/4 and a is an angle in quadrant iv find the value of cos a

Answers

we know that
sec a = 5/4
sec(a)=1/cos(a)
then 
cos (a)=1/sec(a)
cos (a)=1/(5/4)=4/5---> is positive because the function cos is positive in IV quadrant

the answer is cos(a)=4/5

how are solutions, roots, and x-intercepts of a quadratic related?

Answers

A quadratic equation has the form ax2+bx+c=0 and is represented by a parabola (graphically). The solution of a quadratic equation is based on find the roots, which are the x-intercepts of its graph. When it has double root, the vertex of the parabola is the intercept with the x axis. If the root is imaginary (the discriminant of a quadratic function is negative), it does not intercept the x axis. So, a quadratic equation can has: one root, two roots, or zero roots.

 You can solve a quadratic equation by factoring by applying a equation called "Quadratic formula", which is usually used when you can't factorize it. This formula is:

 x=(-b±√(b^2-4ac))/2a

Answer:

Step-by-step explanation:

The quadratic equation [tex]ax^2+bx+c=0[/tex]

The roots of quadratic equation is defined as that value when we substitute in the quadratic equation then we get zero.

Solution of quadratic equation is defined as that value of roots which substitute in the equation then we get zero.

x-intercept of the quadratic equation is defined as that  real  value of x on the x- axis  when we substitute in the equation then the value of equation becomes zero.

From the above definitions we can see that roots of quadratic equation can be imaginary or real but x- intercept value of equation is always a real value.

Solution is also called the value of roots but x- intercept is equal to roots when the value of roots is real.

Now, we can says that roots and solutions of quadratic equation are same when values of roots are real. But when the roots are imaginary then we can not find x- intercept in cartesian   coordinate plane .

This is the first part of a three-part problem. express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.

Answers

Answer:

[tex]18\sqrt{8}=36\sqrt{2}[/tex]

Where a=36 and b=2 with b is small.

Step-by-step explanation:

Given problem [tex]18\sqrt{8}[/tex]

We have to write the given problem in form of [tex]a\sqrt{b}[/tex], where a and b are integers and b is as small as possible.

Consider the given problem [tex]18\sqrt{8}[/tex]

8 can be written in factored form as 2 × 2 × 2

Substitute, in given problem, we have

[tex]18\sqrt{8}=18\sqrt{2 \times 2\times 2}[/tex]

This can be written as,

[tex]18\sqrt{2 \times 2\times 2}=18(\sqrt{4}\sqrt{2})[/tex]

We know [tex]\sqrt{4}=2[/tex] , thus,

[tex]18(\sqrt{4}\sqrt{2})=18\cdot 2\sqrt{2}=36\sqrt{2}[/tex]

Thus,[tex]18\sqrt{8}=36\sqrt{2}[/tex]

Where a=36 and b=2 with b is small.

CD←→ is tangent to circle A at point B.

What is the measure of ∠ABD?




45º

60º

90º

180º

Answers

I just took my quiz and the correct answer is 90.

The measure [tex]\angle ABD[/tex] is C. [tex]90^{\circ}[/tex]

Given,

CD is tangent to the circle A at point B.

We have to find the measure of [tex]\angle[/tex][tex]ABD[/tex].

Tangent:

We know that,

Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent on a point to circle. The Tangent makes an angle of [tex]90^{\circ}[/tex] with the radius of the circle at the point of contact.

Hence [tex]\angle ABD[/tex] is [tex]90^{\circ}[/tex].The correct option is C. [tex]90^{\circ}[/tex]

For more details about tangent, follow the link:

https://brainly.com/question/1503247

In two or more complete sentences, define the key features of the graph below and explain how to write its equation using function notation.

Answers

The graph is a function of absolute value.
 This means that for each value of f (x) there are two possible values of x.
 The absolute value function is:
 f (x) = lxl
 y = f (x) - 2 shifts the graph 2 units down.
 y = f (x + 3) moves the graph 3 units to the right.
 Finally:
 The function that best fits this graph is:
 f (x) = l-x + 3l-2

Answer:

The function notation of the graph is f(x) = |x-3| - 2

Step-by-step explanation:

From the graph it is evident that it is the graph of the absolute value of the function i.e. f(x) = |x| and we know that 'Translation' is a transformation that shifts the graph of a function in any direction.

Now, as we can see that the graph is shifted towards the right of the y-axis at point x=3, this means that it is translated by 3 units to the right of y-axis.

Therefore, the function becomes f(x) = |x-3|.

Furthermore, it is also shifted downwards at the point x= -2, this means that it is translated by 2 units downward from the x-axis.

Hence, the new function is f(x) = |x-3| - 2.

It can also be seen from the figure below that the graph of above f(x) is same as that of the provided image.

△BQH∼△SFN
What is FN ?


Answers

17/18.2=.934 x/18=.934 18*.934 = 16.812
Or 16.81 or 16.8 simplified

Answer:

23.4 in

Step-by-step explanation:

The only side of SFN we know the measurement of is FS, which is 18.2.  We see from the similarity statement that FS corresponds to QB, which is 14.  This gives us the ratio

14/18.2.

From the similarity statement, we see that FN corresponds to QH; this gives us the ratio

18/x

Together this gives us the proportion

14/18.2 = 18/x

Cross multiplying gives us

14(x) = 18.2(18)

14x = 327.6

Divide each side by 14:

14x/14 = 327.6/14

x = 23.4

How do you make 3ln2+2ln4 a single logarithm?

Answers

3ln 2 = ln 2³ = ln 8
2ln 4 = ln 4² = ln 16
Sum means it is a product:
ln (8 × 16) = ln 128

Or ln (2³×4²)

You can do on this way 
3ln2 + 2ln4 = ln 2^3 + ln 4^2 = ln 8 + ln 16 = ln 128
 

If f(x)=x+7 and g(x)=1/x-13 what is the domain of (f*g)(x)
A. {x| x = 6}
B. {x| x = -6}
C. {x| x = -13}
D. {x| x = 13}

Answers

I think the answer is b

Answer:

The Answer is B

Step-by-step explanation:

If you do the math, this would be the conclusion you would come up with.

You want to draw an enlargement of a design that is printed on a card that is 4 in. by 5 in. You will be drawing this design on a piece of paper that is 8one half in. by 11 in. What are the dimensions of the largest complete enlargement you can make?

Answers

Answer:

The dimensions are

[tex]8\frac{1}{2}\ in[/tex]  

[tex]10\frac{5}{8}\ in[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the scale factor is the ratio of its corresponding sides

step 1

Divide [tex]8\frac{1}{2}[/tex] by [tex]4[/tex]

[tex]8\frac{1}{2}=\frac{8*2+1}{2}=\frac{17}{2}\ in[/tex]

so

[tex]\frac{17}{2}/4=2.125[/tex]

step 2

Divide [tex]11[/tex] by [tex]5[/tex]

so

[tex]\frac{11}{5}=2.2[/tex]

step 3

Find the largest complete enlargement

The scale factor is the smaller of the two previous values

so

The scale factor is [tex]2.125[/tex]

The dimensions are

[tex]4*2.125=8.5=8\frac{1}{2}\ in[/tex]  

[tex]5*2.125=10.625=10\frac{5}{8}\ in[/tex]

Answer:

8 1/2 in. by 10 5/8 in.

Step-by-step explanation:

When a standard six sided die is rolled, what is the probability of getting a 9?

Answers

It's not possible a standard die only has the numbers 1-6

Let a(−9, 4) and b(3, −12) be points in the plane. (a) find the slope of the line that contains a and
b.

Answers

the answer would be m= -4/3

Slope of the line = -4/3

What is slope?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,

The slope of line is the measure of steepness or the direction of line the coordinate plane.

m = Δy/Δx

where, m is the slope

Given,

A = (-9,4)

B = (3, -12)

Slope of line AB = (y - y')/(x-x')

                           = -12-4/3 - -9

                           = -16/12

Slope of line AB = -4/3

Hence, -4/3 is the slope of the line.

Learn more about slope of the line here:

https://brainly.com/question/3605446

#SPJ2

OUCH MY BRAIN IS HURTING AFTER TRYING TO SOLVE THIS QUESTION

Answers

300° CCW is the same as 60° CW. N will show up where H is now.

The 3rd selection is appropriate.

What is the future value of $1,600 in 17 years assuming an interest rate of 10 percent compounded semiannually?

Answers

Let
F--------------------> future value
P--------------------> present value 
r --------------------> interest rate per year
m ------------------ > number of compounding periods per year
t -------------------->  time in years. 
we know that
P=$1,600
t=17 years
m=2
r=10%------> 0.10

F=P(1+i)^n
where
i=r/m   ---------> 0.10/2=0.05
and
n=m*t------------> 2*17=34

F=1600*(1+0.05)^34=8405.36

the answer is $8405.36

Which set does not contain –3?

Answers

A real number is any number that is rational, including integers and natural numbers. A rational number is any number that can be written as a ratio or isn't a square root of a number. An integer is any whole number (not including fractions) that exists, negative or positive. A whole number is the same as an integer except it only includes positive numbers. 
Since a set of whole numbers wouldn't be able to include any negative numbers, your answer would be your fourth option. 
Hope this helped you out! :-)

the set of all whole numbers

A theater charges $25 for adults and $15 for children. When the price of a child's ticket increases to $18 next year,the cost for a dance club to attend the theater will increase from $450 to $480. Write and solve a system of equations to find how many adults are in the dance club.

Answers

Given:
tickets for adults - 25
tickets for kids - 15
initial cost - 450
increase in tickets for kids to - 18
cost after increase - 480

let x be number of adults and y be number of kids

25x + 15y = 450
25x + 18y = 480

subtraction:

25x + 15y = 450
-25x - 18y = -480
 0      - 3y = - 30
         y = -30/-3
         y = 10

There are 10 kids.

25x + 15y = 450
25x + 15(10) = 450
25x + 150 = 450
25x = 450 - 150
25x = 300
x = 300/25
x = 12

There are 12 adults.

All in all there are 12 adults and 10 kids.

to check:
25x + 15y = 450
25(12) + 15(10) = 450
300 + 150 = 450
450 = 450

25x + 18y = 480
25(12) + 18(10) = 480
300 + 180 = 480
480 = 480
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