Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

[tex]12.5 cm(\frac{10 milimeters}{1 centimeter})[/tex], which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

Answer:

If this is your question:

Select all that apply.

To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{10 mm}{1 cm} = \frac{x}{140 mm} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x} \\\\\frac{12.5 cm}{1 cm} = \frac{140 mm}{x} \\\\[/tex]

Then your answer is:

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x}[/tex]    

I saw a lot of one answers, but the question is Select ALL that Apply

not just c or b

I hope this helped :))))) (●'◡'●)

PS: brainliest would be great but i'm not askin for it

Answer:

[tex]C=5\pi \approx15.71[/tex]

Step-by-step explanation:

The arc length of the semicircle is basically the circumference of it. Therefore, we can use the circumference formula.

The circumference of a full circle is:

[tex]C=2\pi r[/tex]

Therefore, the circumference of a semicircle is half of that (ignoring the diameter):

[tex]C=\pi r[/tex]

The radius is 5.

[tex]C=\pi (5)=5\pi \approx15.71[/tex]

The arc length is around 15.71 units.

Answer:

39.25

Step-by-step explanation:

5^2=25

25x3.14=78.5

78.5/2=39.25

Answer:

The answer would be 999 because 100 has 3 digits Hope You get a Good Grade And have a wonderful day!!

Answer: x=1

Step-by-step explanation:

When solving for x you must isolate the terms. In order to isolate the terms divide both sides by 3 in order to break up the 3x. that way you should have 2x=x+1 from there i will subtract the x from both sides, so i receive x=1.

Answer:

12

Step-by-step explanation:

We can use PEMDAS. First, we need to calculate the stuff in the parentheses, then the exponent, then the multiplication and finally, the addition.

1/3(4 · 3) + 2³

= 1/3 · 12 + 2³  -- Parentheses

= 1/3 · 12 + 8 -- Exponents

= 4 + 8 -- Multiplication

= 12 -- Addition

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

[tex]x - 19 + 17 = 63\\[/tex]; if x = # people at the beginning

[tex]x - 19 + 17 = 63\\x - 2 = 63\\x = 65[/tex]

There were 65 people on the train to begin with.

Answer:

65 people

Step-by-step explanation:

Well, we need to work backward,

63 on the train and 17 got on so we do 63 - 17 = 46

Then 19 got off so 46 + 19 = 65

Hence, 65 people were on the train on the first stop.

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

The three lines drawn are at 90 degree angles, so are drawn perpendicular to the vertex.

This means point T is the orthocenter.

The answer is A

Answer:

36pi Units^3

Step-by-step explanation:

Slanted (oblique) cylinders have the same volume as standard (right) cylinders.  

V=pi r-squared h

V=pix3x3x4

V=36 pi Units cubed

Answer:

The correct answer is 36 pi units^3

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

There would be four faces on the top, left, bottom, and right.  That equals 16.  (4x4)

There would also 1 on each end, so you have to add 2.  That equal 18.

This is assuming you paint the faces on the bottom.  If you didn’t, the answer would be 14.  (But it doesn’t say not to paint them.)

Answer:

y = -2x

Step-by-step explanation:

Some points are (1,-2) , (2, -4), and (3,-6).

From these three points, we can try each of the equations to see what is correct.

If y = -2x

-2 = (-2)1

-4 = (-2)2

-6 = (-2)3

If y = x

-2 ≠ 1

-4 ≠ 2

-6 ≠ 3

If y = 2x

-2 ≠ 2(1)

-4 ≠ 2(2)

-6 ≠ 2(3)

Answer:

6²

Step-by-step explanation:

A number squared is a perfect square, thus

6² ← is a perfect square

Answer:

f(x)/g(x) = 4x^2+6x-3  remainder -12

or

f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)

or

((4x²+6x-3)-12)/(2x+1)

Step-by-step explanation:

f(x)= 8x³ + 16x² -15

g(x) = 2x+1.

Using long division,

f(x)/g(x) = 4x^2+6x-3  remainder -12

Answer:

You can use a slow motion camera and see clearly. You should probably put a meter ruler in the background so you can check the height

Step-by-step explanation:

Answer:

D. 2x^2-2x+2

Step-by-step explanation:

Step 1: -3 | 2 4 -4 6

Step 2: -3 | 2 4 -4 6

                    -6  6 -6            

                | 2 -2  2 0

Bring 2 down to the answer then multiply it with 3 and add it with the next coefficient. Repeat the process until you get to the last number and you're done. Sorry its kind of hard to explain the steps for synthetic division. Hope this helps!

The synthetic division problem that is given has the quotient in polynomial form is 2x2 - 2x+ 2​. The correct option is D.

A polynomial is made up of terms, each of which has a coefficient, whereas an expression is a statement that has at least two integers and one mathematical expression.

Polynomials can be discovered by observing which formulas contain just addition, subtraction, multiplication, and non-negative integer exponents. Non-polynomial expressions will be those that contain other operations.

-3 | 2 4 -4 6

-3 | 2 4 -4 6

-6  6 -6            

2 -2  2 0

Bring 2 down to the solution, multiply it by 3, and then add it to the next coefficient. Repeat the process until you reach the last number, then stop.

Therefore, the correct option is D. 2x2 - 2x+ 2​.

To learn more about polynomial form, refer to the link:

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Answer:

See below in bold.

Step-by-step explanation:

1. The 3 angles in a triangle add up to 180 degrees.

So x = 180 - (55 + 25)

= 180 - 80

= 100 degrees.

2.  The 4 angles in a quadrilateral add up to 360 degrees,, so

3x + 127 + 54 + 119 = 360

3x + 300 = 360

3x = 360 - 300

3x = 60

x = 20 degrees.

3. Exterior angle

= 94 + 42

= 136 degrees.

Answer:

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

[tex](x,y) = (-4,2)[/tex]

Testing Option A

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

Open Brackets

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

Open Brackets

[tex]-24 + 22 = 2[/tex]

[tex]2 = 2[/tex]

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.

Answer:

x=2, y=20

Step-by-step explanation:

20x+3y=20-20x+5y=60

Combine like terms, so you would do plus 20x both sides and minus 3y both sides.

After that you can also do minus 20 both sides.

So you are left with 40x=2y=40

It is.

[tex]x-10 \geq 0\\\\x \geq 10\\\\\\-5 +n< -6\\\\n < 5-6\\\\n< -1[/tex]

Answer:

Correctomundo!

Step-by-step explanation:

For x-10 > 0:

1. Add 10 to both sides. x- 10 + 10 > 0 + 10

x > 10

For -5 + n < -6:

1. Simplify both sides of the inequality.  n - 5 < -6

2. Add 5 to both sides. n - 5 + 5 < -6 + 5

n < -1

:)

Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem

Step-by-step explanation:

Answer:

32 ounces

Step-by-step explanation:

18+14=32

32 is the total

Answer:

32 ounces

Step-by-step explanation:

She already drank 18 ounces and 14 ounces was left which means that If she didn't drink anything it would have been 32 ounces as 18 + 14 = 32

Hope this helps and pls mark as brainliest : )

Answer:

(-2, 5) < x

Step-by-step explanation:

Answer:

2/5x-1.5 > 0

Step-by-step explanation:

HL = hypotenuse leg

We see that WX = PM are the congruent legs (they are the same length due to the similar single tickmark). Also, XY = ME is the congruent pair of hypotenuses. The HL rule only works for right triangles, as the term "hypotenuse" would not apply for a non-right triangle.

The theorem used is HL.

A theorem is a statement which has been proved true by a special kind of logical argument called a rigorous proof.

Given:

In both triangles

XW = MP  (given)

XY = ME (given)

As, hypotenuse of both triangle is equal and leg of one right triangle are congruent to the hypotenuse.

Learn more about this concept here:

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Answer

the third(5/2)

Step-by-step explanation:

[(5^(-3))*(2^2)*(5^6)]/[(2^3)*(5^2)]

=[(5^3)*(2^2)]/[(2^3)*(5^2)]

=[5^(3-2)]*[2^(2-3)]

=5*(1/2)

=5/2 or 2.5

Answer:

5/2

Step-by-step explanation:

Hope it helps!!

Btw it was right on the test!!

Answer:

The slope of the graph will increase and get steeper.

Step-by-step explanation:

As x increases in an exponential growth graph, f(x) will have a larger value because the exponent value increases.

So, the graph will become steeper due to a larger slope.

The slope of the graph will increase and get steeper.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,m = Δy/Δx where, m is the slope

Given:

As we know that, all points on an exponential curve are always at a constant distance from one another because the slope of an exponential curve equals the constant rate of expansion.

The graph is not exponential if the slope is not constant.

So, In an exponential growth graph, f(x) will have a greater value as x grows as the exponent grows.

Consequently, a larger slope will cause the graph to grow steeper.

Learn more about Slope here:

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Answer:

288 cm^3

Step-by-step explanation:

First, you have to calculate the volume of your individual bar. To do this, you multiply the three given values, so it would look like 8*3*1=24. This means that your individual bar has a volume of 24 cm^3.

To hold 12 granola bars, this would mean that your volume of the individual granola bar would be multiplied by 12, because that is how many you want to fit inside the box. So your operation would looked like 24*12=288 cm^3

Answer:

The operating symbol is divide (/) and the exponent is 5

[tex]7,320 / \ 10^5 = 0.07320[/tex]

Step-by-step explanation:

Given

[tex]7,320 \ \_\ 10^{\_} = 0.07320[/tex]

Required

Fill in the gap

[tex]7,320 \ \_\ 10^{\_} = 0.07320[/tex]

Multiply the right hand side by 1

[tex]7,320 \ \_\ 10^{\_} = 0.07320 * 1[/tex]

Express 1 as 100000/100000 because 100000/100000 = 1

[tex]7,320 \ \_\ 10^{\_} = 0.07320 * \frac{100000}{100000}[/tex]

Split the fraction

[tex]7,320 \ \_\ 10^{\_} = 0.07320 * 100000 * \frac{1}{100000}[/tex]

Multiply 0.7320 and 10000

[tex]7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{100000}[/tex]

Express [tex]\frac{1}{100000}[/tex] as an exponent

[tex]7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{10^5}[/tex]

Change the * sign to /

[tex]7,320 \ \_\ 10^{\_} = 7,320 / \frac{10^5}{1}[/tex]

[tex]7,320 \ \_\ 10^{\_} = 7,320 / \ 10^5[/tex]

Compare the expression on the right hand side with the left hand side base on the order of appearance;

[tex]7,320 = 7,320[/tex]

[tex]The first\ \ _ = \ /[/tex]

[tex]10 = 10[/tex]

[tex]The second\ \_ = 5[/tex]

Hence, the operating symbol is / and the exponent is 5

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

P ( 1 or 5) = number of times 1 or 5 happens / total outcomes

               = 2/ 6

               = 1/3

Answer:

A. 34 miles

Step-by-step explanation:

First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.

The answer to this problem is A. 34 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.

Let 'y' be the total amount and 'x' be the number of miles. Then we have

y = 3.50x + 1.65

If Mohammad wants to spend, at most $60. Then the number of miles is given as,

60 = 3.50x + 1.65

3.50x = 58.35

x = 16.67

x ≈ 17 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

More about the linear equation link is given below.

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