The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data? A. 35.6 B. 40 C. 43.3 D. 50

Answers

Answer 1

Answer:

C. 43.3

Step-by-step explanation:

The mean or average of a data set can be found by adding up all the values and dividing by the number of values.

1. Add up all the values

The values:  46, 40, 50, 43, 35, 41, 50, 42, 38, 48

Add them together:  46 +40+50+ 43+35+41+50+ 42+38+48

433

2. Divide by the number of values

Count how many numbers are in the set of data.

Data Set: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48

10 values

Divide 433 by 10

433/10

43.3

The mean of the set of data is 43.3 and the correct answer is C.

Answer 2

Answer:

43.3

Step-by-step explanation:

I added up all the numbers and divided by the number of numbers.


Related Questions

ALGEBRAIC EXPRESSION 11. Subtract the sum of 13x – 4y + 7z and – 6z + 6x + 3y from the sum of 6x – 4y – 4z and 2x + 4y – 7. 12. From the sum of x 2+ 3y 2 − 6xy, 2x 2 − y 2 + 8xy, y 2 + 8 and x 2 − 3xy subtract −3x 2 + 4y 2 – xy + x – y + 3. 13. What should be subtracted from x 2 – xy + y 2 – x + y + 3 to obtain −x 2+ 3y 2− 4xy + 1? 14. What should be added to xy – 3yz + 4zx to get 4xy – 3zx + 4yz + 7? 15. How much is x 2 − 2xy + 3y 2 less than 2x 2 − 3y 2 + xy?

Answers

Answer:

Explained below.

Step-by-step explanation:

(11)

Subtract the sum of (13x - 4y + 7z) and (- 6z + 6x + 3y) from the sum of (6x - 4y - 4z) and (2x + 4y - 7z).

[tex][(6x - 4y - 4z) +(2x + 4y - 7z)]-[(13x - 4y + 7z) + (- 6z + 6x + 3y) ]\\=[6x-4y-4z+2x+4y-7z]-[13x-4y+7z-6z+6x+3y]\\=6x-4y-4z+2x+4y-7z-13x+4y-7z+6z-6x-3y\\=(6x+2x-13x-6x)+(4y-4y+4y-3y)-(4z+7z+7z-6z)\\=-11x+y-12z[/tex]

Thus, the final expression is (-11x + y - 12z).

(12)

From the sum of (x² + 3y² - 6xy), (2x² - y² + 8xy), (y² + 8) and (x² - 3xy) subtract (-3x² + 4y² - xy + x - y + 3).

[tex][(x^{2} + 3y^{2} - 6xy)+(2x^{2} - y^{2} + 8xy)+(y^{2} + 8)+(x^{2} - 3xy)] - [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[x^{2} + 3y^{2} - 6xy+2x^{2} - y^{2} + 8xy+y^{2} + 8+x^{2} - 3xy]- [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[4x^{2}+3y^{2}-xy+8]-[-3x^{2} + 4y^{2} - xy + x - y + 3]\\=4x^{2}+3y^{2}-xy+8+3x^{2}-4y^{2}+xy-x+y-3\\=7x^{2}-y^{2}-x+y+5[/tex]

Thus, the final expression is (7x² - y² - x + y + 5).

(13)

What should be subtracted from (x² – xy + y² – x + y + 3) to obtain (-x²+ 3y²- 4xy + 1)?

[tex]A=(x^{2} - xy + y^{2} - x + y + 3) - (-x^{2}+ 3y^{2}- 4xy + 1)\\=x^{2} - xy + y^{2} - x + y + 3 +x^{2}- 3y^{2}+ 4xy -1\\=2x^{2}-2y^{2}+3xy-x+y+2[/tex]

Thus, the expression is (2x² - 2y² + 3xy - x + y + 2).

(14)

What should be added to (xy – 3yz + 4zx) to get (4xy – 3zx + 4yz + 7)?

[tex]A=(4xy-3zx + 4yz + 7)-(xy - 3yz + 4zx) \\=4xy-3zx + 4yz + 7 -xy + 3yz - 4zx\\=3xy-7zx+7yz+7[/tex]

Thus, the expression is (3xy - 7zx + 7yz + 7).

(15)

How much is (x² − 2xy + 3y²) less than (2x² − 3y² + xy)?

[tex]A=(2x^{2} - 3y^{2} + xy)-(x^{2} - 2xy + 3y^{2})\\=2x^{2} - 3y^{2} + xy-x^{2} + 2xy - 3y^{2}\\=x^{2}-6y^{2}+3xy[/tex]

Thus, the expression is (x² - 6y² + 3xy).

The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted

Answers

Answer:

The answer can be interpreted by the distance moved by each gallon :))

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

land and sea corporation has just purchased some shoreline property, and according to their calculations it will cost 2.5 times as much to develop the land as much as it did to buy it. If land and sea believe it will end up spending a combined total of $13,457,500 on both the land and its developments, how much must be the land alone have cost?

Answers

Answer:

5,383,000  / *improvments cost 8,074,500

Step-by-step explanation:

if 2.5 is by 'times' then,

13,457,500 / 2.5 =

5,383,000

Which means the cost of the land is 5,383,000

To check just multiply:

5,383,000 x 2.5 = 13,457,500

*Extra

13,457,500 - 5,383,000

= the cost of improvements =  8,074,500

Hope this helps, and have a good day :)

Answer:

$3,845,000

Step-by-step explanation:

Land cost = lDevelopment cost = dTotal cost = $13,457,500

As per given:

d= 2.5 l

Then total is:

l+2.5l= 134575003.5l= 13457500l= 13457500/3.5l= $3845000

Cost of the land alone is  $3,845,000

A pair of parallel lines intersected by a transversal and forms same side interior angles that are in a 5:1 ratio. what are the measures of two same side interior angles?

Answers

Answer:

1st side: 150

2nd side: 30

If 2x+5=8x, then 12x=?

Answers

Answer:

[tex]\boxed{10}[/tex]

Step-by-step explanation:

[tex]2x+5=8x[/tex]

[tex]\sf Subtract \ 8x \ from \ both \ sides.[/tex]

[tex]2x+5-8x=8x-8x[/tex]

[tex]-6x+5=0[/tex]

[tex]\sf Subtract \ 5 \ from \ both \ sides.[/tex]

[tex]-6x+5-5=0-5[/tex]

[tex]-6x=-5[/tex]

[tex]\sf Divide \ both \ sides \ by \ -6.[/tex]

[tex]\displaystyle \frac{-6x}{-6} =\frac{-5}{-6}[/tex]

[tex]\displaystyle x =\frac{5}{6}[/tex]

[tex]\sf Evaluate \ 12x.[/tex]

[tex]\displaystyle 12 \cdot \frac{5}{6} =\frac{60}{6} =10[/tex]

Answer:

10

Step-by-step explanation:

2x+5=8x: First, you are going to subtract 2x from both sides of the equation.

5=6x: Now divide 6x from each side of the equation.

x=5/6: now plug in 5/6 by multiplying this number by 12.

Your final answer should be 10.

What is the value of this expression? (the best answer receives a brainiest)

Answers

Answer:

answer is D

Step-by-step explanation:

2^4=16

16+(16-12)=20

over

(6+9)/(7-4)

15/3=5

so the new equation is 20/5=4

Answer:

D. 4

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Exponents

[tex]\frac{16 + (16 -3(4))}{(6+9)/(7-4)}[/tex]

Step 2: Parenthesis

[tex]\frac{16 + (16 -12)}{15/3}[/tex]

Step 3: Parenthesis

[tex]\frac{16 + 4}{15/3}[/tex]

Step 4: Divide

[tex]\frac{16 + 4}{5}[/tex]

Step 5: Add

[tex]\frac{20}{5}[/tex]

Step 6: Divide

4

Use slope-intercept form to graph each system of equations and solve each system.

Answers

Answer:

(0,3), graph is attached.

Step-by-step explanation:

We know that the first equation will increase 2 points in y for every 1 x, since the constant next to x is 2. We also know it's y-intercept will be 3.

As for the second equation, we know it will have no y and instead run through the y=3 line, crossing every value of x.

Graphing this, we see that these lines intersect at (0,3) so that's the solution to this system.

Hope this helped!

Sandra spotted the sailboat from the shore and measured the angle from the waterline to the top of the boats mast to be 7° if the top of the mask is 23 feet above the water how far is the middle of the sailboat from the shore? Estimate your answer to the nearest tenth.

Answers

Answer:

The middle of the sailboat is approximately 268.8 feet from the shore.

Step-by-step explanation:

Let the distance from shore to the middle of the boat be represented by x, the angle of elevation of Sandra from the shore to the top of the boat mast  is 7°. Applying the required trigonometric function to this question, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan 7° = [tex]\frac{23}{x}[/tex]

⇒  x = [tex]\frac{23}{Tan 7^{0} }[/tex]

       = [tex]\frac{23}{0.12279}[/tex]

      = 268.7515

∴ x = 268.8 feet

The middle of the sailboat is approximately 268.8 feet from the shore.

AB = 15, BC = 10, and CD= 7. Find the length DA.
451. Equilateral triangles BCP and CDQ are attached to the outside of regular pentagon
ABCDE. Is quadrilateral BPQD a parallelogram? Justify your answer.

Answers

Answer:

  451. No, the angles are wrong.

Step-by-step explanation:

450. AB = 15, BC = 10, and CD= 7. Find the length DA.

  This cannot be done without additional information about the sort of figure that ABCD is. If these are points on a line segment, we need to know their order. If these are points on a quadrilateral, we need to know its description in more detail.

If these are points ordered ABCD on a line, then AD = 15+10+7 = 32.

__

451. See the attached figure. BPQD is not a parallelogram: BCQ is not a straight line. (The internal angles of a pentagon are 108°, but would need to be 120° for BCQ to be a straight line, making BP parallel to DQ.) Instead, BPQD is an isosceles trapezoid.

How to do this question plz answer me step by step plzz plz plz plz plz plz plz plz ​

Answers

Answer:

288.4m

Step-by-step explanation:

This track is split into a rectangle and two semi-circles.

We can find the length of the semi-circles by finding its circumference with the formula [tex]2\pi r[/tex].

[tex]2\cdot3.14\cdot30\\188.4[/tex]

However this is half a circle, so:

[tex]188.4\div2=94.2[/tex].

There are two semi-circles.

[tex]94.2\cdot2=188.4[/tex]

Since there are two legs of 50m each, we add 100 to 188.4

[tex]188.4+100=288.4[/tex]m

Hope this helped!

Answer:

Step-by-step explanation:

To solve for the perimeter, we first look at the rectangle in the middle. the length is 50m, and there are two sides to it, so: 50 * 2 = 100m for the top and bottom of the track.

For the circle, we can see the diameter is 30m. To solve for the circumference, we need to use the formula 2πr.

15 * 2π ≈ 94.2477796077

We add that to 100m and get:

194.2477796077

21. Which of the following is an identity? a) sin (a) cos (a) = (1/2) sin(2 a) b) sin a + cos a = 1 c) sin(-a) = sin a d) tan a = cos a / sin a

Answers

Answer:

A

Step-by-step explanation:

[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) [/tex]

[tex] \sin( \alpha ) \cos( \alpha) = \frac{1}{2} \sin( 2\alpha ) [/tex]

Does someone know how to solve this?

Answers

Answer:

6 quarts

Step-by-step explanation:

8 bags

--------

2 quarts

Multiply top and bottom by 3

8*3 bags

--------

2*3 quarts

24 bags

--------------

6 quarts

Answer:

6

Step-by-step explanation:

2 quarts of iced tea = 8 tea bags.

x quarts of Iced tea = 24 tea bags

=> 2/8 = x/24

=> Multiply the extremes and means

=> 8x = 48

=> 8x / 8 = 48 / 8

=> x = 6

6 quarts of iced tea can be made with 24 tea bags.

You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write and solve a multiplication equation to find how many weeks w you have been saving.

Answers

Answer:

Hope I helped! Brainleist!

Step-by-step explanation:

you get $12/week

and you have $

your equation is

y=12x

now...

y = 384

so

384=12x

x= 32

When computing the standard deviation, does it matter whether the data are sample data or data comprising the entire population? Explain. Yes. The formula for s is divided by n, while the formula for σ is divided by N − 1. Yes. The formula for s is divided by n − 1, while the formula for σ is divided by N. No. The formula for both s and σ is divided by n − 1. No. The formula for both s and σ is divided by N.

Answers

Answer:

Yes. When computing the sample standard deviation, divide by n −1. When computing the population  standard deviation, divide by N

Step-by-step explanation:

please help!! due soon!
Use the graph to complete the statement. O is the origin. T ο r(180°,O) : (4,2)
A. (-5, 0) B. (3, 4) C. (-3, -4) D. ( -4, -2)

Answers

Answer:  D.  (-4, -2)

Step-by-step explanation:

Rotating 180° about the origin means the signs for the x- and y-values are opposite.

(x, y) → (-x, -y)

(4, 2) → (-4, -2)

The coordinate after 180° of rotation will be (-4, -2). Then the correct option is D.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The line is y = mx, then the point (4, 2).

The point (4, 2) is in the first quadrat.

The line is rotated by 180° about the origin.

Then the coordinate will lies in the third quadrant.

Then the value of the abscissa and ordinate will be transformed into negative.

Then the coordinate after 180° of rotation will be (-4, -2).

Then the correct option is D.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ5

Peter attempted to use the divide-center method to find the line of best fit on a scatterplot.

What was his mistake?
He had a different number of points to the left of the vertical line than to the right of the vertical line.

He had a different number of points above the line of best fit than below the line of best fit.

He didn’t approximate the center of the cluster located on the left side of the vertical line and of the cluster located on the right side of the vertical line.

He didn’t connect the centers of the clusters on the left side and right side of the vertical line to produce the line of best fit.

Answers

Answer:

He had a different number of points to the left of the vertical line than to the right of the vertical line.

Step-by-step explanation:

Divide-center method is the method which involves dividing the data on the graph into two equal parts and then fin the line of best fit. The center of each group is approximated and then a line is constructed between two centers which is estimated as line of best fit.

A power failure on the bridge of a Great Lakes freighter has resulted in the ship's navigator having to do her own calculations. She measures the angle between the ship's course and a lighthouse on shore as 32°. After the ship has travelled 1500 m, she measures the angle to be 72°. Determine if the ship was closer to or farther from the lighthouse at the second sighting, and by what distance. (4 marks)


It is impossible to measure the length of a particular swamp directly. Kendra put a stake in the ground and measured from the stake to opposite ends of the swamp, the results being 410 m and 805 m. She measured the angle between the distances to be 57°. What is the length of the swamp? (4 marks)

Answers

Answer:

1) The ship is closer

2) 675.73 m

Step-by-step explanation:

1) The given parameters are;

The initial angle between the ship's course and the lighthouse = 32°

The final angle between the ship's course and the lighthouse = 72°

The distance traveled by the sip between he two positions = 1500 m

Therefore we have a triangle formed between the distance covered by the ship and the two distances of the ship from the lighthouse, a and b

Where;

a = The initial distance fro the lighthouse

b = The final distance fro the lighthouse

The angles of the triangle are

32°, (180 - 72) = 108° and 180 - 32 - 108 = 40°

By sine rule we have;

1500/(sin(40)) = a/(sin(108)) = b/(sin(32)) =

Therefore, a = sin(108°) × 1500/(sin(40°)) = 2219.37 m

b = (sin(32°)) × 1500/(sin(40°)) = 1236.61 m

Therefore, a  > b

The initial distance fro the lighthouse > The final distance fro the lighthouse, which shows that the ship is closer

2) By cosine rule we have

a² = b² + c² - 2× b×c×cos(A)

Where the given measurements by Kendra are;

410 m and 805 m with an included (in between) angle of 57°, we have;

Let b = 410 m, c = 805 m, and A  = 57°, we have;

a² = 410^2 + 805^2 - 2× 410×805×cos(57 degrees) = 456608.77 m²

a = The length of the stream = 675.73 m.

???? help please i don’t understand this

Answers

Answer:

  1.5

Step-by-step explanation:

We hope there is something in the context of this question that tells you this is a geometric sequence. If not, it is not possible to choose an appropriate answer.

__

Assuming a geometric sequence, the n-th term is found from the first term (a1) and the common ratio (r) to be ...

  an = a1·r^(n-1)

Using the given values, we can solve simultaneous equations to find a1 and r:

  a2 = 48 = a1·r^(2-1) = a1·r

  a5 = 6 = a1·r^(5-1) = a1·r^4

The ratio of these terms is ...

  a5/a2 = (a1·r^4)/(a1·r) = r^3

  6/48 = r^3 = 1/8

  r = ∛(1/8) = 1/2

__

To find the 7th term, we can make use of the fact that one term is related to the next by the common ratio. (We don't need to find a1.)

Then the 7th term is ...

  a7 = a1·r^(7-1) = a1·r^6 = (a1·r^4)·r^2 = a5·r^2

  a7 = 6·(1/2)^2 = 6/4 = 1.5 . . . . . . substitute for a5 and r

The 7th term is 1.5.

Diagram shows helicopter H flying towards an island P

When the helicopter is 100 m above sea level, the pilot sees a man fishing from boat Q. Given the angles of depression of the island P and boat Q from H are 22° and 61.5° respectively.

Calculate the distance, in M, of PQ ​

Please help me to explain :(

Answers

Answer:

193.21 m

Step-by-step explanation:

make a vertical line down from the helicopter that is 100m

tan 61.5 = 100/x       x = 54.3 (distance from the point directly below helicopter                                                                  to boat)

tan 22 = 100/x          x = 247.51 (distance from the point directly below helicopter to the island

247.51 - 54.3 = 193.21 (distance from boat to island)

Autumn runs a farm stand that sells peaches and grapes. Each pound of peaches sells
for $2 and each pound of grapes sells for $4. Autumn sold 35 more pounds of grapes
than pounds of peaches and made $200 altogether. Graphically solve a system of
equations in order to determine the number of pounds of peaches sold, 2, and the
number of pounds of grapes sold, y.

Answers

Answer:

She sold 10 pounds of peaches and 45pounds of grapes

Step-by-step explanation:

X= pounds of peaches

x+35=pounds of grapes

2x+4(x+35)=200

2x+4x+140=200

6x=200-140

6x=60

x=10

She sold 10 pounds of peaches and 45pounds of grapes. (Sorry, can’t help you graph it.)

I NEED HELP PLEASE I GIVE 5 STARS !

Answers

Answer:

C. 2[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Square root of 116 is 10.7703296

Square root of 29 is 5.38516481, but as it is multiplied by 2, it becomes 10.7703296

HELP ASAP
[tex]Given that $33^{-1} \equiv 77 \pmod{508}$, find $11^{-1} \pmod{508}$ as a residue modulo 508. (Give an answer between 0 and 507, inclusive.)[/tex]

Answers

Answer: 231

===================================================

Work Shown:

[tex]33^{-1} \equiv 77 \text{ (mod 508)}\\\\(3*11)^{-1} \equiv 77 \text{ (mod 508)}\\\\3^{-1}*11^{-1} \equiv 77 \text{ (mod 508)}\\\\3*3^{-1}*11^{-1} \equiv 3*77 \text{ (mod 508)}\\\\11^{-1} \equiv 231 \text{ (mod 508)}\\\\[/tex]

Notice how 33*77 = 2541 and 11*231 = 2541

[tex]2541 \equiv 1 \text{ (mod 508)}[/tex] since 2541/508 has a remainder of 1.

So effectively [tex]33*77 \equiv 1 \text{ (mod 508)}[/tex] and [tex]11*231 \equiv 1 \text{ (mod 508)}[/tex]

I NEED HELP ON THIS QUESTION!!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!

Answers

Answer:

D

Step-by-step explanation:

Both are exponential decay.

Answer:

             D.

Step-by-step explanation:

f(0) = 24,  f(1) = 6 and f(2) = 0 means f(x) > 0 in (0,2)

and f(0) > f(1) > f(2) means f is decreasing in (0,2)

g(0) = 15 and g(2) = 0 means g(x) > 0 in (0,2)

and g(0) > g(2) means g is decreasing in (0,2)

Solve for y
4x + 7y +5

Answers

To find the slope, m, of the line represented algebraically by the given linear equation in two variables: 4x = 7y + 5, first put the given equation in the slope-intercept form of the equation of a straight line, i.e., y = mx + b, as follows:

4x = 7y + 5 (Given)

4x - 5 = 7y + 5 - 5

4x - 5 = 7y + 0

4x - 5 = 7y

7y = 4x - 5 since equality is symmetric, i.e., if a = b, then b = a.

(7y)/7 = (4x - 5)/7

(7/7)y = (4x)/7 - 5/7

(1)y = (4/7)x- 5/7

y = (4/7)x - 5/7

From the last step above, the given equation is now in the slope-intercept form of the equation of a straight line: y = mx + b, i.e., y = (4/7)x - 5/7; therefore, we can now see by observation, that the slope of the line is m = 4/7 which means that the line has a positive slope, i.e., it's > 0, which means that if the line were to be constructed on a Cartesian coordinate system, it would slope upward from left to right and would intersect the y-axis at the point (0, -5/7).

Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possible lengths TP$? Enter the possible values, separated by commas.

Answers

Two answers: 5, 7

====================================================

Explanation:

A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.

----------

For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.

If TP = 5, then it's the same length as TI.

If TP = 7, then it's the same length as PI.

In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.

----------

Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.

If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.

If TP = 7, then OT = 7 for similar reasoning.

Either way, TP only has two choices on what it could be.

----------

In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).

Answer:

So we all cheat AOPS huh

Step-by-step explanation:

What is the solution set to the inequality?

Answers

Answer:

Option (2)

Step-by-step explanation:

To find the solution set of the given inequality we will follow the following steps.

1). Convert the inequality into an equation.

2). Find the solutions from the equation.

3). Check these solutions and intervals on a number line.

Given inequality is 5(x - 2)(x + 4) > 0

Step 1. Equation for given inequality is,

          5(x - 2)(x + 4) = 0

Step 2. Solutions for the given equation will be,

           (x - 2) = 0 ⇒ x = 2

           (x + 4) = 0 ⇒ x = -4

Step 3. Therefore, there will be two critical points on the number line,

           x = 2, x = -4

Now we will check the solutions of the given inequality in the given intervals,

x < -4, -4 < x < 2 and x > 2

For x < -4,

Let the solution is x = -5

5(x + 4)(x - 2) = 5(-5 + 4)(-4 - 2)

                     = 30 > 0

Therefore, x < -4 will be the solution area of the inequality.

For -4 < x < 2,

Let the solution is x = 0

5(x + 4)(x - 2) = 5(0 + 4)(0 - 2)

                     = -40 < 0

Therefore, -4 < x < 2 will not be the solution set for the given inequality.

For x > 2,

Let the solution is x = 3

5(x + 4)(x - 2) = 5(3 + 4)(3 - 2)

                     = 35 > 0

Therefore, x > 2 will be the solution area of the inequality.

Summarizing all steps we find that the solution set of the inequality is,

{x | x < -4 Or x > 2}

Option (2) will be the answer.

Solve for h. 3/7=h/14-2/7

Answers

Answer:

h = 10

Step-by-step explanation:

Given

[tex]\frac{3}{7}[/tex] = [tex]\frac{h}{14}[/tex] - [tex]\frac{2}{7}[/tex]

Multiply through by 14 to clear the fractions

6 = h - 4 ( add 4 to both sides )

10 = h

Answer:

10

Step-by-step explanation:

We start out with 3/7 = h/14 - 2/7

add 2/7 to both sides:

(5/7) = h/14

Multiply both sides by 14 to get rid of the fraction:

h = 10

Which statement correctly compares
1–201 and
1512
ol-201 = 151
ol-201 < 51
l-201 > 151

Answers

Answer:

Option B.

Step-by-step explanation:

Consider the correct question is "Which statement correctly compares

1. -201  and  151

-201 = 151

-201 < 51

-201 > 151"

The given numbers are -201 and 151. We need to compare these numbers.

We know that all negative numbers are less than positive numbers.

So,

-201 < 151

If both numbers are negative, then the larger negative number is the smaller number.

Therefore, the correct option is B.


Which graph represents the solution set of this inequality?
10c + 5 < 45?

Answers

Answer:

see below

Step-by-step explanation:

10c + 5 < 45

Subtract 5 from each side

10c + 5-5 < 45-5

10c < 40

Divide by 10 on each side

10c/10 < 40/10

c < 4

Open circle at 4 and the line going to the left

Jonah will cover a cube in wrapping paper. Each edge of the cube is 25 cm long. What is the least amount of
wrapping paper he needs to cover the cube?
15 625 square centimeters
25 square centimeters
37.5 square centimeters
42 25 square centimeters
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Subm
MO

Answers

Answer:

3750 cm²

Step-by-step explanation:

To find the answer, we need to find the surface area of the cube. The surface area formula for a cube is 6a² where a = the length of an edge. We know that a = 25 so the surface area is 6 * 25² = 6 * 625 = 3750 cm².

Answer:

37.5 hopefully this is the answer you were looking for!

Step-by-step explanation:

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