Mathematics High School

What is the length of each edge of a cube if its surface area is 486 square units?

81 units
18 units
9 units
3 units

Answers

Answer 1

Answer:

the correct answer is 18 i hope this helps you

Answer 2

The length of each edge of a cube with a total surface area of 486 square units is 9 units, obtained by dividing the total surface area by 6 to get the area of one face and then taking the square root.

To find the length of each edge of a cube when you have the total surface area, you need to understand that a cube has 6 faces that are all squares of the same size. Since the total surface area of the cube is given as 486 square units, we can find the area of one face by dividing the total surface area by 6. Once we have the area of one face, we can find the length of one edge by taking the square root of that area because the area of a square is equal to the length of one side squared (Area = side x side).

Let's calculate:

Total surface area of the cube = 486 square unitsArea of one face = 486 / 6 = 81 square unitsLength of one edge = [tex]\\(\sqrt{81})[/tex] = 9 units

Therefore, the length of each edge of the cube is 9 units.

Related Questions

how many integer solutions are there to the equation x^3-5x^2+2x+13=5

Answers

three possible solutions
Hello,

To find the solutions to this, you can either graph it on a graphing calculator or factor it.

If you factor it, first set it equal to 0 by subtracting 5 from both this.
The you can factor it to: (x - 2)(x - 4)(x + 1) = 0
Using the zero product rule, our solutions are 2, 4, and -1.

There are 3 integer solutions.

Good luck,
MrEQ

What is the angle for a and b

Answers

angle A and B would be identical

a triangle is 180 degrees

180 - 40 = 140

140 /2 = 70

angle a and b are 70 degrees
It is an isosceles triangle, so
∠a = ∠b

180 - 40 = 140
140 ÷ 2 = 70° 

∠a = 70°
∠b = 70°

------------------------------------------------------------------
Answer: ∠A = 70° , ∠B = 70°
------------------------------------------------------------------

Plz help. ,,, ,,,,,,,,,,,,,,........





Answers

6. 3x - 3
7. -2b + 12
8. 2y-12

Hi there!

To simplify, we need to combine like terms.

6.
6x + 2 - 3x - 5
= 3x + 2 - 5
= 3x - 3

To simplify this, we need to distribute.

7.
-2 × b + 2 × 6
= -2b + 12

8.
4y - 12 + 2y
= 6y - 12

Hope this helps!

Explain what defines direct variation. Then, check which of the following tables include directly proportional quantities x and y x 1 2 3 4 y 7 14 21 28

Answers

Direct variation in mathematics is when two numbers are written in an equation where one of the numbers multiplied by a constant term to equal the other. 

In the table in the equation, we see direct variation.

X    Y
1     7
2     14
3     21
4     28

We can find the constant of the variation by dividing y by x. This constant should remain the same for all terms of x in the table with their corresponding y values.

y/x
7/1=7
14/2=7
21/3=7
28/4=7

As we can see, the values in the table all share a direct variation between x and y with the value 7.

This can be expressed in an equation: y = 7x.

What is the definition of asymptote?
What is the facts or characteristics of asymptote?
What is some examples of asymptote?
What is some non-examples of asymptote?

Answers

A straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line.
Final answer:

An asymptote is a line that approaches a curve indefinitely without intersecting it at any finite point. Examples include the line y = 0 for the function y = 1/x, whereas a non-example would be the intersecting line y = x with a parabola y = x^2.

Explanation:

An asymptote is a line that a curve approaches as it heads towards infinity, but never actually reaches.

There are several characteristics of an asymptote that are notable. First, the distance between the curve and the asymptote approaches zero as one moves along the curve towards infinity. However, the curve will never intersect the asymptote at any finite point. There are two main types of asymptotes: vertical and horizontal.

An example of an asymptote is the line y = 0, which is a horizontal asymptote for the function y = 1/x as x approaches infinity.

A common non-example of an asymptote is any line or curve that intersects a graph at a finite number of points, such as the line y = x when compared with a parabola y = x2.

Find the image of P(–2, –1) after two reflections; first Ry=−5(P), and then Rx=1(P1).
(1, –5)
(–1, –6)
(4, –9)
(–2, –1)

Answers

Answer: third choice (4 - 9).

Explanation:

1) The first reflection, Ry = - 5, means a reflection is across the line y = - 5

2) Since the point P has y-coordinate  - 1, its discance to the line y = - 5 is 4 units (P is located 4 units upper the line y = - 5).

Then, the reflection of the y-coordinate will be 4 units below the line y = - 5, which is -5 - 4 = - 9,

Therefore, the y-coordinate of the image is - 9.

3) The second reflection, Rx = 1, means a reflection across the line x = 1.

4) Since the point P has x-coordinate - 2, its distance to the line x = 1 is 3 units (P is located 3 units to the left of the line x = 1).

Then, the reflection of P will be 3 units to the right of the line x = 1.

That is 1 + 3 = 4.

Therefore, the x-coordinate of the image is 4.

5) You have obtained the x and y - coordinates of the image, x = 4 and y = -9, that is (4, - 9) which is the third choice.

Solve 2 log 2x = 4. Round to the nearest thousandth if necessary

Answers

Answer:
x = 50

Explanation:
Before we begin, remember the following:
logₐ  (x) = b
is equivalent to:
aᵇ = x

log with no base written has the default base 10

Now, let's check the given:
2 log 2x = 4

We will start by dividing both sides by 2:
log 2x = 2

Now, applying the above rules, we can get the value of the x as follows:
log 2x = 2
10² = 2x

[tex] \frac{2x}{2} [/tex] = [tex] \frac{10^2}{2} [/tex]

x = 50

Hope this helps :)

Answer:

For [tex]2log2x=4[/tex] , x = 50

Step-by-step explanation:

Given : [tex]2log2x=4[/tex]

We have to find the value of x.

Consider the given [tex]2log2x=4[/tex]

Divide both side by 2, we have,

[tex]\frac{2\log _{10}\left(2x\right)}{2}=\frac{4}{2}[/tex]

Simplify, we have,

[tex]\log _{10}\left(2x\right)=2[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \:a=\log _b\left(b^a\right)[/tex]

[tex]2=\log _{10}\left(10^2\right)=\log _{10}\left(100\right)[/tex]

[tex]\log _{10}\left(2x\right)=\log _{10}\left(100\right)[/tex]

When log have same base, we have,

[tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\quad \Rightarrow \quad f\left(x\right)=g\left(x\right)[/tex]

We have,

[tex]2x=100[/tex]

Divide both side by 2, we have,

[tex]x=50[/tex]

Thus, For [tex]2log2x=4[/tex] , x = 50

two vertical cliffs are on opposite sides of a 90 foot wide river. From point A at the top of the shorter cliff, the angle of elevation of the top of the other cliff(b) is 28 degress and the angle of depression to the bottom is 38 degress.find the height of each cliff ,to the nearest foot

Answers

Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.

If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.

Therefore, we can set up a tangent equation.

From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:

tan(28) = x /90
x = 47.88

From the top of the short cliff to the bottom, we can right and solve the following trip equation.

tan(38) = x/90
x = 70.32

The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.

Final Answer:

The height of the shorter cliff is 70 feet and the height of the taller cliff is 118 feet.

Explanation:

To find the height of each cliff, we will use trigonometry. Specifically, we will use the tangent function, which is the ratio of the opposite side to the adjacent side of a right-angled triangle.

First, let's consider the shorter cliff (point A). We know the angle of depression from A to the bottom of the river is 38 degrees. If we imagine a horizontal line at the height of point A, we can create a right-angled triangle with one angle at the bottom of the river, the vertical side as the height of the cliff, the horizontal side as the width of the river, and the angle of depression at point A.

Using the tangent of the angle of depression, we can set up the following equation to find the height of the shorter cliff (which we will call hA):
tan(38 degrees) = height_shorter_cliff / width_river

Solving for the height of the shorter cliff, we get:
height_shorter_cliff = width_river * tan(38 degrees)

Using a calculator or trigonometry tables, we find that the height of the shorter cliff is approximately 70 feet.

Next, let's consider the taller cliff (point B). The angle of elevation from A to B is given as 28 degrees. Now we can imagine another right-angled triangle, this time with one angle at point A, the vertical side as the difference in height between cliffs A and B, the horizontal side as the width of the river, and the angle of elevation at point A.

Using the tangent of the angle of elevation, we can set up an equation to find the height difference between cliffs A and B (which we will call hB - hA):
tan(28 degrees) = (height_taller_cliff - height_shorter_cliff) / width_river

We can rearrange this to solve for the height of the taller cliff:
height_taller_cliff = width_river * tan(28 degrees) + height_shorter_cliff

Now, using our previous result for the height of the shorter cliff (70 feet), we plug it into our equation:
height_taller_cliff = 90 * tan(28 degrees) + 70

Using a calculator or trigonometry tables to evaluate tan(28 degrees), we find that the height of the taller cliff is approximately 118 feet.

Therefore, to the nearest foot, the height of the shorter cliff is 70 feet and the height of the taller cliff is 118 feet.

PLEASE HELP!!ABCD∼EFGH

AD=30 in. , EH=50 in. , and CD=15 in.

What is GH ?

Answers

Hello there user!

You're answer is going to be -

GH= 25 inches

Explain)

A-D= 30 inches

Half of AD = 15 inches, therefore all you need to do is split the next set in half as well.

50 divided by two is 25, therefore you're answer is 25 inches.

Hope this helps you! Have a great rest of you're day!

~Alexa

Answer: GH =25 in.

Step-by-step explanation:

Given: [tex]ABCD\sim EFGH[/tex]

We know that if two polygons are similar then their corresponding sides are proportional.

Thus, [tex]\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}[/tex]

Since, AD=30 in. , EH=50 in. , and CD=15 in.

Then we have ,

[tex]\frac{CD}{GH}=\frac{AD}{EH}\\\\\Rightarrow\frac{15}{GH}=\frac{30}{50}\\\\\Rightarrow\ GH=\frac{50\times15}{30}\\\\\Rightarrow\ GH=25\ in.[/tex]

If the √4 is 2, what is 89²?

Answers

Your answer is 7,921.

Calculations: 

89x89 = 7,921
89x89=7,921 would be the answer

What is the trigonometric ratio for sin C ?

Enter your answer, as a simplified fraction.

Answers

By definition we have to:
 Sin (x) = C.O / h
 Where,
 x = angle
 C.O = opposite leg
 h: hypotenuse.
 Substituting values we have:
 Sin (C) = AB / 82
 We should look for AB. For this, we use the following relationship:
 AB ^ 2 + 80 ^ 2 = 82 ^ 2
 Clearing AB:
 AB = root ((82 ^ 2) - (80 ^ 2))
 AB = 18
 Substituting we have:
 Sin (C) = 18/82
 Simplifying:
 Sin (C) = 9/41

 Answer:
 the trigonometric ratio for sin C is:
 Sin (C) = 9/41

need help please!! thanks

Answers

7a-5b=28
The answer be D. (4,0)
Brainliest pts pls
To find the answer to #1 we need to use substitution to replace the variables with numbers

(-3,-2)
Substitute
(7)(-3) - (5)(-2) = 28
(7)(-3) - (5)(-2) Does not equal 28

(4,0)
Substitute
(7)(4) - (5)(0) = 28
This is true 
(4,0) is your answer
====================================================================
2.)
4x - 5y = 9
y = 4/5x - 9/5

Can somebody please help me with these two problems?

1. What is the sum of the finite arithmetic series? 26 + 29 + 32 + 35 + 38 + 41 + 44
2. What is the sum of the finite arithmetic series? 7.6 + 6.3 + 5 + 3.7 + 2.4 + 1.1 + (–0.2) + (–1.5),

Answers

The formula for sum of AP is S = [2a + (n - 1)d]*n/2 where a is first term of series, n is number of terms and d is the difference 1. here a=26, n=7 and d= 29-26=3 so S = [2*26 + (7 - 1)*3]*7/2 S=245 2. here a=7.6, n=8 and d= 6.3-7.6=-1.3 so S = [2*7.6 + (8 - 1)*-1.3]*8/2 S=24.4

The sum of the finite arithmetic series 26 + 29 + ... + 44 is 245. The sum of the series 7.6 + 6.3 + ... + (-1.5) is 24.4.

To solve these problems, we will use the formula for the sum of a finite arithmetic series, which is given by S = n÷2  × (a₁ + aₙ), where S represents the sum of the series, n is the number of terms, a₁ is the first term, and aₙ is the last term.

Problem 1:

The series is: 26, 29, 32, 35, 38, 41, 44. First, we find the number of terms (n). Since the common difference (d) is 3, we have n = (44 - 26)÷3 + 1 = 7. Now, apply the formula to find the sum: S = 7÷2 × (26 + 44) = 245.

Problem 2:

The series is: 7.6, 6.3, 5, 3.7, 2.4, 1.1, -0.2, -1.5. Here, d = -1.3 and n = 8. So the sum is: S = 8÷2 × (7.6 - 1.5) = 24.4.

If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?

Answers

54.35(1.18) = 64.13 total bill

The required total bill would be $64.134 including of 18% tip.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

According to the question,

To leave an 18% tip for a waiter on a $54.35 meal,
Total bill = 54.35 + 18% of 54.35
              = 54.35 [1 + 0.18]
              = 54.35 (1.18) = 64.134

Thus, the required total bill would be $64.134.

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FAN AND MEDAL: NEED HELP PLEASE! Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.

x - 62,500 = 0.25y

If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values.,

Answers

x-62500=0.25y y has been given as 125000 So x-62500 =0.25*125000 x-62500 = 31250 Making x the subject of the equation: x=31250+62500 x=93750 Therefore Maya received 93750 votes.

Maya recived exactly 93750 votes



What is the missing constant term in the perfect square that starts with x^2−4x

Answers

x² - 4x = x² - 4x + ([tex] \frac{4}{2} [/tex])² - ([tex] \frac{4}{2} [/tex])²
x² - 4x = x² - 4x + (2)² - (2)²

2² = 4

The constant term that is missing is 4

25 POINTS PLEASE HELPIf the fifth term of an arithmetic sequence is 11 and the common difference is​ 4, then the sixth term of the sequence is.

Answers

Final answer:

The sixth term of an arithmetic sequence, with a fifth term of 11 and a common difference of 4, is calculated to be 15.

Explanation:

The student's question is about determining the sixth term of an arithmetic sequence when the fifth term and the common difference are given. The fifth term is 11, and the common difference is 4. To find the sixth term, we follow the definition of an arithmetic sequence where each term is equal to the previous term plus the common difference.

Arithmetic sequence formula

:

Tn = T(n-1) + d

Where:

Tn is the nth termT(n-1) is the previous termd is the common difference

Applying this formula to find the sixth term:

Sixth term = Fifth term + Common difference

= 11 + 4

= 15

Therefore, the sixth term of the sequence is 15.

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2−x+1 intersect are the solutions of the equation 4−x = 2−x+1. (4 points) Part B: Make tables to find the solution to 4−x = 2−x+1. Take the integer values of x between −2 and 2. (4 points) Part C: How can you solve the equation 4−x = 2−x+1 graphically? (2 points)

Answers

You probably mean the equations are y = 4 - x and y = 2x -1. Else with given equations, the solution is not possible. The steps of the solution are listed below:

Part A) 
The solution to the equation 4 - x = 2x + 1 are the points where both the equations have same value for a given value of x. This means, if a points (x,y) lies on both the lines it will be the solution of the given equations. Since that point lies on both the lines, both lines will cross that point. Crossing that point can be seen as intersection of two lines at that point. 
Therefore, x-coordinates of the points where the graphs of equations y = 4 -  x and y = 2x + 1 intersect are the solutions of the equation 4 - x = 2x + 1

Part B)
The table is attached in the images below. As seen from the table, both lines have same value of y for x =1. So x=1 is the solution to the equation 4 - x = 2x + 1

Part C)
In order to solve the equation 4 - x = 2x + 1 , we plot the individual lines y = 4 - x and y = 2x + 1 on the graph. The point of intersection of two lines will be the solution to the equation. The graph of lines is attached below. 
A.  We have two lines:  y = 2-x   and   y = 4x+3 Given two simultaneous equations that are both required to be true.. the solution is the points where the lines cross...  Which is where the two equations are equal..  Thus the solution that works for both equations is when 2-x = 4x+3 because where that is true is where the two lines will cross and that is the common point that satisfies both equations.   B.  2-x = 4x+3   x     2-x      4x+3
______________

-3     5       -9
-2     4       -5
-1     3       -1
 0     2        3
 1     1        7
 2     0      11
 3    -1      15

The table shows that none of the integers from [-3,3] work because in no case does
2-x = 4x+3   To find the solution we need to rearrange the equation to the form x=n 2-x = 4x+3 2 -x + x = 4x + x +3 2 = 5x + 3 2-3 = 5x +3-3 5x = -1 x = -1/5   The only point that satisfies both equations is where x = -1/5 Find y:   y = 2-x  = 2 - (-1/5) = 2 + 1/5 = 10/5 + 1/5 = 11/5 Verify we get the same in the other equation y = 4x + 3   =  4(-1/5) + 3 = -4/5 + 15/5 = 11/5   Thus the only actual solution, being the point where the lines cross, is the point (-1/5, 11/5)   C.  To solve graphically  2-x=4x+3 we would graph both lines...   y = 2-x  and   y = 4x+3 The point on the graph where the lines cross is the solution to the system of equations ... [It should be, as shown above, the point (-1/5, 11/5)]   To graph y = 2-x   make a table.... We have already done this in part B   x     2-x                x    4x+3 _______              ________ -1    3                   -1      -1  0    2                    0       3  1    1                    1       7   Just graph the points on a cartesian coordinate system and draw the two lines.  The solution is, as stated, the point where the two lines cross on the graph.  

Hope this helps.


What is the perimeter of rectangle EFGH?

+ units
+ units
22 units
39 units

Answers

Answer:

B. 2√10 + 2√29 units

What are the x-intercepts of the quadratic function? f(x)=x2+2x−24

Answers

The Answer is -6 and 4

Answer:

Just took the test the answers are -6 and 4 for anyone else wondering! :)

Step-by-step explanation:

PS. Use the site called "Desmos" and type your function in the box and just find where it crosses the x axis!

Worker A earns $8.10 per widget produced, produces 10 widgets per day, and works 9 hours per day. Worker B earns $8.40 per widget produced, produces 8 widgets per day, and works 7 hours per day. Which of these statements is true?

A. Worker B earns more per day than worker A but less per hour than worker A.
B. Worker A earns more per day than worker B but less per hour than worker B.
C. Worker A earns more per day than worker B and more per hour than worker B.
D. Worker B earns more per day than worker A and more per hour than worker A.

Answers

Worker A:
Total earning per day = $8.10 x 10 = $81

He works 9 hours a day.  Find the rate for 1 hour.
81 ÷ 9 = 9
He earns $9 an hour

Worker B:
Total earning per day = $8.40 x 8 = $67.20

He worked 7 hours a day. Find the rate for 1 hour.
67.20 ÷ 7 = $9.60
He earns $9.60 per hour

Worker A earns more per day than worker B but less per hour than worker B. (Answer B)
Final answer:

By calculating the total earnings per day and earnings per hour for Worker A and Worker B, we deduce that Worker A earns more per day than Worker B but earns less per hour than Worker B.

Explanation:

To answer this question, we first need to calculate the total earnings per day and then the earnings per hour for both Worker A and Worker B.

For Worker A, the total earnings per day can be calculated as: 10 widgets/day * $8.10/widget = $81/day. For Worker B, the total earnings per day can be calculated as: 8 widgets/day * $8.40/widget = $67.20/day.

Therefore, we can see that Worker A earns more per day than Worker B.

Next, we calculate the earnings per hour. For Worker A, the earnings per hour amount to: $81/day ÷ 9 hours/day = $9/hour. For Worker B, the earnings per hour amount to: $67.20/day ÷ 7 hours/day = $9.60/hour.

Thus, Worker B earns more per hour than Worker A.

Given the calculations, the correct statement is B. Worker A earns more per day than Worker B but less per hour than Worker B.

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1. Simplify the product.
7x (x+4)
A) 7x^2 + 4
B) 7x^2 + 28x
C) 8x + 4
D) 8x + 11,

Answers

Using the foil method the simplification of the product 7x (x+4) is the answer B) 7x^2 + 28x. The foil method is the standard method of multiplying two binomials. FOIL stands for First, Outer, Inner and Last. The order of the letters is not important and does not have to match the letters of the word FOIL

The simplified product is 7x² + 28x.

Option B is the correct answer.

We have,

To simplify the product 7 x (x + 4), we need to distribute the 7x to both terms inside the parentheses.

The distributive property states that for any numbers a, b, and c,

a x (b + c) = a x b + a x c.

Applying this property to the given expression, we have:

(7x) x (x) + (7x) x 4

Multiplying 7x by x gives us 7x², and multiplying 7x by 4 gives us 28x.

So the simplified expression becomes:

7x² + 28x

Therefore,

The simplified product is 7x² + 28x.

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This figure shows circle C with diameter LM and inscribed ∠LMN .

m∠LMN=32°



What is the measure of arc LMN?

Enter your answer in the box.

Answers

the answer is 296 degress

Answer:

[tex]296^{\circ}[/tex]

Step-by-step explanation:

It is given that figure shows circle C with diameter LM and inscribed ∠LMN and    m∠LMN=32° .

We know that the angle formed at the center is double the angle formed on the vertex that is an inscribed angle, thus on joining NC, we have

[tex]{\angle}NCL=2({\angle}LMN)[/tex]

Substituting the given values, we have

[tex]{\angle}NCL=2(32^{\circ})[/tex]

[tex]{\angle}NCL=64^{\circ}[/tex]

Now, [tex]minor{\angle}LCN+major{\angle}LCN=360^{\circ}[/tex] (complete angle)

[tex]major{\angle}LCN=296^{\circ}[/tex]

Therefore, the measure of the arc LMN is [tex]296^{\circ}[/tex].

suppose you can factor x^2 +bx +c as (x+p)(x+q) . If c<0, what could be the possible values of p and q?

A: p= -3, q= 7

B: p= 11, q= 4

C: p= -2, q= -5

D: p= 1, q= 10

Answers

What you should know is that the value of c will be given by the following product:
 c = p * q
 So that c <0
 We have that the possible values are:
 p = -3
 q = 7
 Thus, the value of c is:
 c = p * q
 c = (- 3) * (7)
 c = -21 <0
 Answer:
 the possible values of p and q could be
 A: p = -3, q = 7
Ans: Option A

Explanation:
Let's solve it smartly!

Given expression: [tex] x^{2} + bx +c[/tex] --- (A)
Factors: (x+p)(x+q)

Condition: c<0

Now let us expand (x+p)(x+q):
=> [tex] x^{2} + (p+q)x + pq[/tex] --- (B)

By comparing (B) with (A), we can say that:

pq = c --- (C)

Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.

1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.

2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.


We are left with Option A:
p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)). Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7

can someone check these questions?

Answers

4
4 is correct

5
The second one is also correct.

1. Is -7 + 9= -9 + 7 true, false, or open

A. True
B. False
C. Open

2. Is 4x - 3 = 19 true, false, or open

A. True
B. False
C. Open

3. Which of the following is a solution to the equation 16 = 4x - 4

A. -5
B. -4
C. 5
D. 16

4. An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 in. What should the width of the model be?

A. 17.5 in
B. 20.5 in
C. 83.6 in
D. 100.8 in

5. Use mental math to determine the solution to x - 3 = 10

A. X=7
B. X=13
C. X=30
D. X=0

Answers

1. -7 + 9= -9 + 7 is false 
2. Is 4x - 3 = 19 is open, because this could be a valid equation.
 3. 16 = 4x - 4 
  So, 16+4=4x; 4x=20; x=20/4; x=5..... option C is the correct one.
 4. length of the classroom is 2.4 times its width. 
  given length = 42 in, and since length = 2.4 times width, width = 42/2.4,
hence option A) 17.5 in is correct
 5. x - 3 = 10
  x = 10+3 =13
 Option B is the right one.

The answer of the following mathematical expressions are,

1. True

2. False

3. C. 5

4. A. 17.5 in

5. B. x = 13

Let's go through each of the expression ,

Is -7 + 9 = -9 + 7 true, false, or open?

It is option A. True

Both sides of the equation simplify to 2, so the equation is true.

Is 4x - 3 = 19 true, false, or open?

It is option B. False

When you solve for x, you get 4x = 22, and then x = 5.5. Therefore, the equation is false.

Which of the following is a solution to the equation 16 = 4x - 4?

The value of x is option C. 5

When you solve for x, you get 4x = 20, and then x = 5. So, x = 5 is a solution to the equation.

An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 inches. What should the width of the model be?

The width is equal to option A. 17.5 inches

If the length is 2.4 times the width, then the width should be 42 inches / 2.4 = 17.5 inches.

Use mental math to determine the solution to x - 3 = 10.

the value of x is option B. x = 13

Adding 3 to both sides of the equation gives x = 10 + 3, which is x = 13.

learn more about expressions here

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The beginning balance in the computers account was $2000.the company purchased an additional $1000 worth of computers.the balance in the account is a ?

A. Credit of $2000
B. Debit of $2000
C. Credit of $3000
D. Debit of $3000

I need the answer ASAP!!!!!!!

Answers

D. Debit of $3000
The balance of account a need to be as much as $3000

what is the simplified form of the following expression? sqrt 1/144

Answers

Rewrite using the quotient rule for radicals.√1/√144Any root of 1 is 1.1√144Simplify the denominator.The result can be shown in both exact and decimal forms.Exact Form:1/12Decimal Form:0.08333333333333

Leslie says that 5 multiplied by an even number always results in an even product. Is Leslie's statement correct?

Answers

Yes, Leslie is correct. Two such examples are 5*100, which is 500 (even) and 5*18, which is 90 (also even).

Leslie's statement is correct. 5 multiplied by an even number always results in an even product

Number multiplication rules

From the question, we are to determine if Leslie's statement is correct.

From the given information,

Leslie says that 5 multiplied by an even number always results in an even product

An even number is a whole number that is able to be divided by two into two equal whole numbers

NOTE: The multiplication of any integer by an even number will always result in an even product.

An integer is a positive or negative whole number.

Since, 5 is an integer, then the multipliction of 5  by an even number will always results in an even product.

Hence, Leslie's statement is correct. 5 multiplied by an even number always results in an even product.

Learn more on Number multiplication rules here: https://brainly.com/question/14176303

Please help !! I fan and medal!!

1.)rewrite the following expression using the distributive property.
5(2x-8)
A.)-30x
B.)10x-40
C.)10x+40
D.)10x-8

2.)simplify the following expression:
-16-18/2+25/5+1. ( the -16 and -18 are both on top of the 2 it's a fraction)
A.)-18
B.)6
C.)10
D.)-6

Answers

1. B. 10x-40
2 i think you wrote it wrong but I'm going to guess to the best of my abilities
D. -6
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