A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning the mural to be (x+4) by(2x+5) what is the area of the remaining wall after the mural has been Painted

Answer:

Total area=132cm^2

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Answer:

20

Step-by-step explanation:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(-6 - 10)^2 + [7 - (-5)]^2} [/tex]

[tex] d = \sqrt{(-16)^2 + (7 + 5)^2} [/tex]

[tex] d = \sqrt{256 + 12^2} [/tex]

[tex] d = \sqrt{256 + 144} [/tex]

[tex] d = \sqrt{400} [/tex]

[tex] d = 20 [/tex]

Answer: 20

Answer:

≈ 11 ounces

Step-by-step explanation:

(This is the easiest method I can explain, there is probably a simpler one)

We can make a system of equations (x = oz. of pure oil, y = oz. of mixture):

x + y = 100 oz. -> y = 100 - x

x + 0.0451y = 0.15(100) -> x + 0.0451y = 15

Using substitution, we get that x + 0.0451(100 - x) = 15.

This is equal to x + 4.51 - 0.0451x = 15.

Subtracting both sides by 4.51 and combining like terms gets us

0.9549x = 10.49.

Dividing both sides gives us about 11 ounces.

Final answer:

To obtain 100 ounces of a 15% oil-gas mixture from a 4.51% oil-gas solution, 10.49 ounces of pure oil should be added to the solution.

Explanation:

To solve the problem of how many ounces of pure oil should be mixed with an oil-gas solution that is 4.51% oil to get 100 ounces of an oil-gas mixture that is 15% oil, we can use a simple mixture equation. Let's denote the unknown quantity of pure oil to be added as x ounces.

First, we calculate the amount of oil already present in the 4.51% oil-gas mixture. If we have a total of 100 ounces, the existing oil in the mixture is 4.51% of this, that is 4.51 / 100 × 100 = 4.51 ounces.

Next, we know that the final mixture will have to be 15% oil. Therefore, in 100 ounces of this mixture, we will need 15% oil, which is 15 / 100 × 100 = 15 ounces of oil.

To find out how much pure oil to add, we subtract the amount of oil already present in the mixture from the total amount of oil needed. So, x + 4.51 = 15, which gives us x = 15 - 4.51 = 10.49 ounces of pure oil needed to be added.

Answer: 20° or 40° could be the two angles of the other similar triangle

The answer is 270cm cubed.

What is the volume of the rectangular prism?

270 cm^3

Q1. Answer:  [tex]\bold{\dfrac{1}{4}}[/tex]

Step-by-step explanation:

[tex]\dfrac{even\ numbers}{total\ numbers}\times \dfrac{even\ numbers}{total\ numbers}\\\\\\=\dfrac{3}{6}\times \dfrac{3}{6}\\\\\\=\dfrac{1}{2}\times\dfrac{1}{2}\\\\\\=\large\boxed{\dfrac{1}{4}}[/tex]

Q2. Answer:  [tex]\bold{\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{red\ spins}{total\ spins}=\dfrac{25}{50}=\large\boxed{\dfrac{1}{2}}[/tex]

Answer:

1

Step-by-step explanation:

cos^-1(0.39)=1.17... so i rounded to the nearest whole number, 1

Answer:

67°

Step-by-step explanation:

Apply the inverse cosine function to both sides, obtaining:

x = arccos 0.39

Using a calculator, obtain the value of x:

x = 1.17 (radians)

or

       1.17         180°

x = ---------- · ------------  =  67 degrees (to the nearest whole degree)

           1            π

           1

Answer:

18c - 30d + 36

Step-by-step explanation:

you multiply the number outside to the numbers inside the parenthesis.

6 * 3c = 18c

6* -5d = -30d

6*6= 36

Answer:

18c - 30d + 36

Step-by-step explanation:

6(3c - 5d + 6) = ?

You first multiple 6 to 3c. This leaves you with 18c. Next, you multiply 6 to (-5d). Remember that it is a negative because it has a minus sign in front of the number, leaving you with -30d. Lastly, you have 6 times 6, which is 36. This leaves us with the equation of 18c - 30d + 36. I hope this helped.

Answer:

160°

Step-by-step explanation:

We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).

that would mean that Angle KAW is half of measure of Arc KW. Thus we can write:

m∠A = 0.5 (arc KE + arc EW)

x+45 =0.5 (x+20+3x)

x+45 = 0.5(4x+20)

x+45 = 2x + 10

45 - 10 = 2x - x

Thus, x = 35

Since Arc KW = Arc KE + Arc EW and x = 35, we can say:

Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°

The value of the arc KW subtended from the center of circle O is 160°.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the circle O:

m KW = m KE + m EW (angle addition postulate)

m KW = (x + 20) + (3x)

m KW = 4x + 20

m KW = 2m∠A (angle subtended from center)

4x + 20 = 2(x + 45)

x = 35

m KW = 4(35) + 20 = 160°

The value of the arc KW subtended from the center of circle O is 160°.

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Answer: [tex]\frac{x+5}{x+3}[/tex]

Step-by-step explanation:

The problem gives you the following expression:

[tex]\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}[/tex]

Therefore, to add the fractions with equal denominator, you must rewrite the denominator (x+3) and add the numerators of each one of the fractions.

Then, keeping the above on mind, you obtain the sum shown below (You must remember to add the like terms):

[tex]\frac{x+3+2}{x+3}=\frac{x+5}{x+3}[/tex]

Answer:

(x + 5)/(x + 3)

Step-by-step explanation:

I take all three fractions have a denominator of x + 3. If that is correct, then the question should be written as

x/(x + 3) + 3/(x + 3) + 2/(x + 3)

(x + 3 + 2)/ (x + 3)

(x + 5)/(x + 3)

That's the answer

Answer:

(10, 1)

Step-by-step explanation:

-x = -y - 9 has already been solved for -x.  Multiply every term of this equation by -1 to obtain x = y + 9.  

Now substitute y + 9 for x in the first equation.  We get:

(y + 9) + y = 11, or, after combining the y terms, 2y = 2.

Solving for y, we get y = 1.

Subbing 1 for y in the first equation results in:  x + 1 = 11.

This yields x = 10.

Thus, the solution is (10, 1).

Answer:

√((4 - 9)² + (-1 - 7)²) = √((-5)² + (-8)²)

= √(25 + 64) = √89 = about 9.43 units

Answer:

The correct answer is 44

Step-by-step explanation:

6(8)-4

48-4

44

Answer:

f(8) = 44

Step-by-step explanation:

Plug in 8 for x. Then evaluate the expression.

f(x) = 6x - 4

Where you see x, substitute it with 8.

f(x) = 6x - 4

f(8) = 6(8) - 4

f(8) = 48 - 4

f(8) = 44

Answer:

You have it correct, letter A or the one on the top.

Step-by-step explanation:

The main difference between the top one and the bottom two is the top one says, earns $7 an hr. which it should be $6 and hr (6x).

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Answer:  The required solution is (x, y) = (5, -2).

Step-by-step explanation:  We are given to solve the following system of equations :

[tex]2x+5y=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x-4y=23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

From equation (i), we have

[tex]2x+5y=0\\\\\Rightarrow 2x=-5y\\\\\Rightarrow x=-\dfrac{5}{2}y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of x from equation (iii) in equation (ii), we get

[tex]3\times\left(-\dfrac{5}{2}y\right)-4y=23\\\\\\\Rightarrow -15y-8y=46\\\\\Rightarrow -23y=46\\\\\Rightarrow y=-\dfrac{46}{23}\\\\\Rightarrow y=-2.[/tex]

From equation (iii), we get

[tex]x=-\dfrac{5}{2}\times(-2)=5.[/tex]

Thus, the required solution is (x, y) = (5, -2).

Final answer:

To solve the simultaneous equations 2x+5y=0 and 3x-4y=23, you can multiply the first equation by 4 and the second by 5 to eliminate y, solve for x, and then substitute back to find y. The solution is x = 5 and y = -2.

Explanation:

To solve the simultaneous equations 2x+5y=0 and 3x-4y=23 using an algebraic method, one effective technique is to eliminate one of the variables to solve for the other. Let's eliminate y and solve for x.

Multiply the first equation by 4, and the second equation by 5, to make the coefficients of y equal but opposite in sign.

4(2x+5y) = 4(0) → 8x+20y = 0

5(3x-4y) = 5(23) → 15x-20y = 115

Add the two resulting equations to eliminate y.

8x + 20y + 15x - 20y = 0 + 115

23x = 115

x = 115/23

x = 5

Substitute x back into one of the original equations to solve for y. Using the first equation:

2(5) + 5y = 0

10 + 5y = 0

5y = -10

y = -2

The solution to the simultaneous equations is x = 5 and y = -2.

Answer:

(x+10) and (x-10)

Step-by-step explanation:

The volume of a rectangular box is defined as

Volume = width*height*length

In this case

Volume  = 6x^2-600  =  6*(x^2 - 100)

And we also know,

Volume  =  (6)*height*length

So,

6*(x^2 - 100) = (6)*height*length

This means that

height*length = (x^2 - 100)

height*length = (x+10)*(x-10)

1. Answer: 24

Step-by-step explanation:

There are 4 cities to choose from.  After visiting the 1st city, there are only 3 cities to choose from, etc (see below).

1st city  and   2nd city   and     3rd city   and   4th city

   4        x          3            x             2           x         1        =   24

2. Answer: 30,240

Step-by-step explanation:

There are 10 digits to choose from.  After choosing the first digit, there are only 9 digits to choose from (because you can't have duplicate digits in the combination) (see below).

1st digit  and  2nd digit  and  3rd digit  and  4th digit  and  5th digit

   10        x           9           x         8           x          7           x          6       = 30,240

It's a matter of opinion really, but I would say true.

Answer:

Step-by-step explanation:

The Fall is an environmental catastrophe and the relationship between man and the environment changed after that. The answer is True.

The nswer is 4p^2-28pq.            

The markup percentage can be found by subtracting the cost price from the selling price, dividing by the cost price, and then multiplying by 100, resulting in a 30% markup.

The percent markup is calculated by finding the difference between the selling price and the cost price, then dividing that by the cost price and multiplying by 100.

Markup = (Selling Price - Cost Price) / Cost Price x 100

Markup = ($26 - $20) / $20 x 100

Markup = $6 / $20 x 100

Markup = 0.30 x 100

Markup = 30%

Answer:

[tex]8\ days[/tex]

Step-by-step explanation:

we know that

using proportion

[tex]\frac{1}{(5/8)}\frac{day}{pounds}=\frac{x}5}\frac{days}{pounds}\\ \\x=5*8/5\\ \\x=8\ days[/tex]

Answer:

x < y + z  

Step-by-step explanation:

x - y < z

Add y to each side:     x < y + z

To recreate a drawing on a new scale of 1 cm to 4 cm, simply multiply the original dimensions by the scale factor of 4.

If you are given a drawing and you want to recreate it on a new scale where 1 centimeter (cm) in the original equals to 4 centimeters in the new drawing, then you simply have to multiply the dimensions of the original by 4. Suppose the original drawing is 2 cm in length and 3 cm in width. Then the new length would be 2 cm * 4 = 8 cm and the new width would be 3 cm * 4 = 12 cm. Remember this is a general concept and can be applied to all dimensions of the drawing. It's a basic concept in proportion and scale factor.

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For this case we must indicate the graph corresponding to the following inequality:

[tex]y <\frac {3} {4} x + 2[/tex]

As it is observed that equality is not included, we can discard options C and D. We are left with the graphs of the dotted border line.

Graphic A:

We evaluate in the inequality the point [tex](0,0)[/tex]

[tex]0 <\frac {3} {4} (0) +2\\0 <2[/tex]

The inequality is met.

Thus, the inequality is represented in graph A.

Answer:

Option A

He only has 3 different color shirts to choose from

The number of different color shirts Juan have to choose from is A = 3

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the number of shirts be represented as set A

Now , the value of A is

Blue shirt – Black pants

Blue shirt – White pants

Blue shirt – Blue pants

White shirt – Black pants

White shirt – White pants

White shirt – Blue pants

Tan shirt – Black pants

Tan shirt – White pants

Tan shirt – Blue pants

A = { Blue shirt , White shirt , Tan shirt }

So , the number of elements in set A = 3

Hence , the different color shirts to choose from is 3

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Answer: No

Step-by-step explanation: 2/6 is not equal to 2/3. Find common denominators. The common denominator would be 6. So multiply each number in 2/3 by 2. You will get 4/6. 4/6 is not equal to 2/3.

Answer:  40°

Step-by-step explanation:

There are 4 pink angles (labeled as "a") and each are the same measure.

There are 4 green angles (labeled as "b") and each measure 50°.

A circle is 360°

4a + 4b = 360

4a + 4(50) = 360

4a + 200 = 360

4a           = 160

 a           =  40

The correct answer is C- How many times did you go swimming last week.

Answer:

D. 9 x (7 - 3)

Step-by-step explanation:

Subtracting 3 from 7 is (7-3), then multiplying by 9 is (7-3)x9.

A. Because it says three subtracted from seven so that goes first in the parentheses