Solve the system. y = -x + 3 and y = 2x
the solution is (__,__).
Explain your choice of method.

The lower quartile value is 13 and the upper quartile value is 27.

What is a Quartile?

A quartile divides the data set into four equal halves, that is, each set has an equal number of terms. The quartiles are given by Q₁(the lower quartile value), Q₂ (the median), Q₃ (the upper quartile value).

We first arrange the data set in ascending order. Here, the data set is already in ascending order, that is, 10,11,13,18,19,21,22,25,27,30,32.

So we will divide the above set into two equal halves. As the given set has 11 terms,

So the median is [tex]\frac{n+1}{2}[/tex] where n is the number of terms.

We have n=11

⇒ Median= [tex]\frac{11+1}{2}[/tex] th term

                = 6th term

⇒ Median= 21

Now the data to the left side of the median value will give the lower quartile and the data to the right will give the upper quartile.

The data to the left of median value 21 is 10,11,13,18,19.

The median value of this data will give the lower quartile value.

Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term

              =13

⇒Lower quartile is 13.

The data to the right of the median value 21 is 22,25,27,30,32

The median value of this data will give the upper quartile value.

Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term

             = 27

⇒Upper quartile is 27.

The correct answer is lower quartile= 13, upper quartile = 27

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The total line length of cubes lined up would be approximately 1.6 x 10^7 cm.

To find the total line length of cubes lined up, we need to find the total number of cubes in the box and then multiply it by the side length of a cube.

We can find the total number of cubes in the box by dividing the volume of the box by the volume of a cube:

Volume of the box = 2 m * 4 m * 8 m = 64 m³

Volume of a cube = 8 cm³ = 8 x 10^-6 m³ (converting the cm³ to m³)

Number of cubes = 64 m³ / 8 x 10^-6 m³ = 8 x 10^6

Then we can multiply the total number of cubes with the side length of a cube to find the total line length of cubes lined up :

Therefore, Line Length = 8 x 10^6 * 8 cm

= 6.4 x 10^7 cm

= 1.6 x 10^7 cm.

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Answer:

(A) 4.6 + (–5.9)

-1.3

(B) –4.4 + 6.2

1.8

(C) 2.1 + 0.5

2.6

(D) –3.8 + (–1.3)

-5.1

well, is just that much plus the 20%, hmmm what's 20% of 72.60 anyway?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 72.60}}{\left( \cfrac{20}{100} \right)72.60}\implies 14.52~\hfill \underset{total~pay}{\stackrel{72.60~~ + ~~14.52}{\text{\LARGE 87.12}}}[/tex]

Answer: it was just the number of the 2 positive for the following number

Answer: it is 0

Step-by-step explanation:

[5.5+(-2.3)] + (-5.5+2.3)

We can multiple (-5.5+2.3) by -1 so that it equals the first expression

[5.5+(-2.3)] + (-1)[5.5+(-2.3)]

Then, we change the + to -

[5.5+(-2.3)] - [5.5+(-2.3)]

since we are subtracting the same value, the answer is 0.

Answer:

we 10 points because you are vb and your classmate have 50 point because their bright

Answer:

I think it's A.

Step-by-step explanation:

Spheres have no faces, sides, or verticles. this saying/fact is from a website https://flexbooks.ck12.org/cbook/ck-12-middle-school-math-concepts-grade-7/section/10.1/primary/lesson/classification-of-solid-figures-msm7/#:~:text=A%20sphere%20is%20a%20solid%20figure%20that%20has,has%20one%20face%2C%20but%20no%20edges%20or%20vertices.

Answer:

Marissa did not change the direction of the inequality sign.

Step-by-step explanation:

Hello!

We can solve the inequality as well, and compare our steps to Marissa's to verify her steps.

We have the same number, but a different inequality sign. This is because we have to flip the inequality sign when multiplying and dividing by a negative number.

Therefore, the answer is the last option, Marissa has to flip the inequality sign when multiplying by a negative number.

Answer:

168

Step-by-step explanation:

Answer: 96%

Step-by-step explanation: 24/25= 0.96

Answer:

a) The new balance in your checking account is -$12.58 - $30.72 = -$43.30.

b) After the bank charges a $25 fee for overdrafting, the balance in your checking account will be -$43.30 - $25 = -$68.30.

c) To bring your account balance back up to $0 after the fee, you will need to deposit $68.30.

Step-by-step explanation:

Answer:

First, you subtract the 30.72 from the -12.58 which is -43.03 which is therefore how much you have in your account. Then we subtract another 25 for the fee. -68.03 Is how much you have after paying the fee.

Therefore, to get to 0, you need to pay 68 dollars and 3 cents.

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

Keep Change Flip

3 x 5/2

=15/2

=7 1/2

Hope this helps :)

Answer:

c

Step-by-step explanation:

30:14    The division isn’t proportional. 30/5 is 6 but 14/5 is not 4.

6.4

—————

30:14   Same here as above just now the 14 is proportional just not the 21.

21:7

—————

30:14     Finally! The 2nd ratio is twice the first!

60:28

Answer: hope this helps ♡

C. 60:28

Step-by-step explanation:

30:14

A. 6:4 → 30 ÷ 6 = 5 & 14 ÷ 4 = 3.5 (the answers aren't equal) 30:14 ≠ 6:4

B. 21:7 → 30 ÷ 21 = 1.4 & 14 ÷ 7 = 2 (the answers aren't equal) 30:14 ≠ 6:4

C. 60:28 → 30÷60 =0.5 & 14÷28 = 0.5 (the answers are equal) 30:14 = 60:28

Answer:

0.23

Step-by-step explanation:

i know math

Answer: d

Step-by-step explanation:

it’s common sense add the 1 take ur cat to dinner and lake house horse shoe

Answer:

First column:

E: 35

i :51

A: 168

Y: 18

T: 140

E: 7

P: 19

Step-by-step explanation:

I used order of operations / PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction), and plugged in the values for a, b, n, and m. For letter E, add and subtract the values first then divide, it's easier. That's all I got for now. I'll solve the rest and answer as soon as possible. :)

Answer: (1,2) and or (-1.-2)

Step-by-step explanation:

if you look at the graph and go to a point that is on a corner of a square like (0.-4) you count all the squares tell you hit the next point just like the last

Answer:

Step-by-step explanation:

The expression for the following statements are,

a. c = 200/n.

b. p = 20r.

c. s×t = 240.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

a. From the information given the numerical form of the statement is,

c = 200/n.

b. From the information given the numerical form of the statement is,

p = 20r.

c. From the information given the numerical form of the statement is,

s×t = 240.

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Answer:

The area is approximately 201.06

Step-by-step explanation:

If you use the equation pi r^2, then we will get the answer. Since the diameter is double the radius, we should know that the radius is 8ft. Then we do the math and get the answer above.

Answer: A≈201.06ft²

Step-by-step explanation:

How to Calculate Diameter?

Diameter = Circumference ÷ π (when the circumference is given)

Diameter = 2 × Radius (when the radius is given)

Diameter = 2√[Area/π] (when the area is given)

Answer:

3 × 7 = 21

10 × 5 = 50

21 + 50 = 71

Therefore, the answer is 71.

Answer:

41

Step-by-step explanation:

Answer:

A, B, ad C

In order to find the ratio of something you must:

Add the parts of the ratio to find the total number of parts.

Find the value of each part of the ratio by dividing the number by the total number of parts calculated in step 1.

Multiply each part of the original ratio by the value of each part calculated in step 2.

Answer: C. [tex]\sqrt{875[/tex]

Step-by-step explanation:

use Pythagorean theorem [tex]a^{2}+b^{2}=c^{2}[/tex]

a=5 c=30 solve for b

[tex]25+b^2=900[/tex]

subtract 25 from both sides to get [tex]b^2 =875[/tex]

then square both sides to get [tex]\sqrt{875[/tex] for the length of the other leg

Answer:

The total number of students in the student body is 110. The part is 88 students, the whole is 110 students, and the percent is 80%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

7y+5z-2y+z

Group the two y and the two z together

7y-2y = 5y

5z+z= 6z

(a variable with out a number is = to 1)

so it would be  5y+6z

Hope this helps

We can divide both sides of the equation by 43 to solve for x:

90x / 43 - 47y / 43 = -49 / 43

x = -49/43

We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:

-5x + 3y = -6

(-5 * -49/43) + 3y = -6

y = (-6 + 5 * 49/43) / 3

y = 17/43

The solution to the system of equations is (x, y) = (-49/43, 17/43).

To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.

In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:

(-5 * -49/43) + (3 * 17/43) = -6

This simplifies to -6 = -6, which is true, so the solution holds for this equation.

In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:

(9 * -49/43) - (4 * 17/43) = 1

This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.

Therefore, the solution (x, y) = (-49/43, 17/43) is correct.