Mathematics Middle School

What is the range of the following data set?
56, 78, 124, 34, 67, 91, 20

Answers

Answer 1

Answer:

104

Step-by-step explanation:

Range is the max value - the min

124 - 20 = 104

Related Questions

Question #5:
Find the area of the composite shape.
30 ft
20 ft

Answers

350 because 25x10 is 250 and 20x5 is 100 so you add them and get 350

PLZ IM TAKING TEST RN. HELP!!!!!!

For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. What is definitely true about x = 7? (2 points)

Both m(x) and p(x) cross the x-axis at 7.

Both m(x) and p(x) cross the y-axis at 7.

Both m(x) and p(x) have the same output value at x = 7.

Both m(x) and p(x) have a maximum or minimum value at x = 7.

Answers

Answer:

Both m(x) and p(x) have the same output value at x = 7

Step-by-step explanation:

for two functions m(x) and p(x) we know that the solution to the equation :

m(x)=p(x) is the x-value of the point of intersection of the two curves.

i.e. at this point the output value i.e. the value which is obtained on putting the input value i.e. 'x' is same for the two functions m(x) and p(x).

Hope This Helped

When m(x) = p(x) at x = 7, it implies that both functions produce the same output value at x = 7, representing the equality of the functions.

Both m(x) and p(x) have the same output value at x = 7. When m(x) = p(x) at x = 7, it means that both functions produce the same output value at x = 7. This is the defining characteristic of the statement made.

For a given x value of 7, both m(x) and p(x) will yield an identical result, indicating that they are equal at that specific point. This does not necessarily mean they cross the x-axis, y-axis, or have maximum or minimum values at x = 7, but rather that their outputs are the same at this particular x value.

Therefore, the correct statement about x = 7 when m(x) = p(x) is that both m(x) and p(x) have the same output value at x = 7.

Choose the correct simplification of the expression –5x2(4x – 6x² – 3).

Answers

Answer:

[tex]30x^{4} -20x^{3} +15x^{2}[/tex]

Step-by-step explanation:

Simplify using the distributive property.

What is the value of quartile 2 (Q2)? 4.7

2.3

3.0

0
Help fast will mark as brainleist

Answers

Answer:

[tex]Q_{2}[/tex] = 3.0

Step-by-step explanation:

[tex]Q_{2}[/tex] represents the median of the data set.

From the box plot the median is the horizontal line inside the box and is positioned at 3.0

What is the solution to the system of equations 2x + 3y = 40 and y = x + 10?
x = 2; y = 12

x = 4; y = 14

x = 12; y = 2

x = 14; y = 4

Answers

Answer:

x=2, y=12

STEP BY STEP-

Replace the Y in 2x+3y=40 for X+10, because y=x+10. You now have 2x+3(x+10)=40. Now multiply the X and the 10 by 3, so you have 2x+3x+30=40. Combine like terms to get 5x+30=40. Subtract the 30 on both sides so you get 5x=10. Divide by 5 and that gives you the solution for X (2). Then, plug 2 in for X in the equation y=x+10. You now have Y=2+10. Combine like terms and you get 12, so Y=12.

Sorry that I'm so bad at explaining things

Final answer:

Substitute y = x + 10 into 2x + 3y = 40, simplify to 5x = 10, solve for x, then substitute x into the second equation to find y. The solution is x = 2 and y = 12.

Explanation:

The solution to the system of equations 2x + 3y = 40 and y = x + 10 can be found by substituting the second equation into the first. This is a common method for solving systems of linear equations, which involves elimination and substitution. We substitute y from the second equation into the first to get 2x + 3(x + 10) = 40, which simplifies to 2x + 3x + 30 = 40. After combining like terms, we have 5x = 10, which gives us x = 2. We then substitute x back into the second equation to find y. If x = 2, then y = 2 + 10, which means y = 12.

How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain.

Answers

Answer:

Step-by-step explanation:

To figure this out, you must use the triangle inequality theorem. It says that the sum of 2 sides of the triangle should be more than the third side. If you add 8 and 12, you get less than 24 but if you add 12 and 24 or 8 and 24, you will get more. So, there are only 2 triangles! I hope this helps!

a meter is one thousandth of a kilometer. write an equation to show the relationship between 7 meters and 0.007 kilometer.

Need steps

Answers

Answer:

1000k=m

Step-by-step explanation:

if there is 1 meter for every 1000 kilometers, then .007 times 1000 will equal 7

Answer:

m=0.001k

k=kilometers, m=meters,

Step-by-step explanation:

One thousandth=0.001

0.001 k = 1 m

multiply each side by 7

0.007 k =7 m

solve for x. log 10x=5.7

Answers

Answer: 4b^2-25 is your answer.

(Vote me brainliest, please)

16
Which choices show the ratio of the area of the smaller rectangle to the area of the larger rectangle? Select three options.

Answers

Answer:

The options b) ,c) and e) are correctThe three choices shows the ratio of the area of the smaller rectangle to the area of the larger rectangle are b)[tex](\frac{4}{16})^2[/tex] , c) [tex]\frac{12}{192}[/tex] and e) [tex](\frac{3}{12})^2[/tex]

Step-by-step explanation:

Given that a large rectangle has a length of 16 and width of 12.

A smaller rectangle has length of 4 and width of 3

To show the ratio of the area of the smaller rectangle to the area of the larger rectangle:

we know that "If two figures are similar, the the ratio of its areas is equal to the scale factor squared"

From the given scale factor is [tex]\frac{1}{4}[/tex]

Let z be the scale factor

Let x be the area of the smaller rectangle

Let y be the area of the large rectangle

[tex]z^2=\frac{x}{y}[/tex]

Since scale factor is [tex]\frac{1}{4}[/tex] hence [tex]z=\frac{1}{4}[/tex]

we have [tex]z^2=(\frac{1}{4})^2[/tex]

[tex]=\frac{1}{16}[/tex]

∴ [tex]z^2=\frac{1}{16}[/tex]

Now show that the ratio of the area of the smaller rectangle to the area of the larger rectangle with each options.

a) [tex]\frac{4}{16}[/tex]

[tex]\frac{4}{16}=\frac{1}{4}[/tex]