4. The rental for a television set changed from $80 per year to $8 per month
What is the percentage increase in the yearly rental?​

Answer:

5x+10y+5z.

Step-by-step explanation:

The given expression is

[tex]\dfrac{1}{2}(10x+20y+10z)[/tex]

We need to find the equivalent expression by using the distributive property.

By using the distributive property, the given expression can be written as

[tex]\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)[/tex]

[tex]=5x+10y+5z[/tex]

Therefore, the required expression is 5x+10y+5z.

Answer:

Step-by-step explanation:

Draw a triangle and label the sides (picture below):

● the length is 2x+2

● and the width or the height is 6x

The perimeter of a rectangle is the sum of the sides

● P = 2x+2 + 6x + 2x+2 + 6x

Isolate the similar terms

● P = (2x+2x+6x+6x) + (2+2)

● P = 16x + 4

The perimeter of the window of lengths 2x+2 and 6x is 16x + 4

The formula for calculating the perimeter of a rectangle is expressed as:

[tex]P=2(L+W)[/tex] where:

L is the length of the rectangular stained glass window.

W is the width of the rectangle stained glass window

Given the following

L = (2x +2) inches

W = 6x inches

Substitute the given values into the formula as shown:

[tex]P = 2(2x+2+6x)\\P=2(2x+6x+2)\\P=2(8x+2)\\P=2(8x)+2(2)\\P=16x+4[/tex]

Hence the perimeter of the window is 16x + 4

Learn more here: https://brainly.com/question/10452031

Answer:

1/2

Step-by-step explanation:

First die rolled 5

Second die can roll 1, 2, 3, 4, 5, 6

Only if the second die rolls 4, 5, 6 will the sum be greater than 8.

p(sum > 8) = 3/6 = 1/2

Answer: 1/2

Step-by-step explanation:

First die rolled 5

Second die can roll 1, 2, 3, 4, 5, 6

Only if the second die rolls 4, 5, 6 will the sum be greater than 8.

p(sum > 8) = 3/6 = 1/2

Answer:

x = 12.6 degrees

Step-by-step explanation:

Using the property of alternate interior angles, we can say that m<A is equivalent to m<E.

m<A = m<E

63 = 5x

12.6 = x

So, x = 12.6 degrees

Cheers.

Answer:

False

Step-by-step explanation:

Required

State if the product of rational numbers and integer is an integer

The statement is false and the proof is as follows

Literally, rational numbers are decimal numbers that can be represented as a fraction of two integers;

Take for instance: 0.2, 0.5, 2.25, etc.

When any of these numbers is multiplied by an integer, the resulting number can take any of two forms;

1. It can result to an integer:

For instance;

[tex]0.2 * 5 = 1[/tex]

[tex]0.5 * 4 = 2[/tex]

[tex]2.25 * 8 = 18[/tex]

2. It can result in a decimal number

For instance;

[tex]0.2 * 3 = 0.6[/tex]

[tex]0.5 * 5 = 2.5[/tex]

[tex]2.25 * 7 = 15.75[/tex]

From (1) above, we understand that the product can result in an integer.

Hence, the statement is false

Answer:

work is pictured and shown

Answer:

1) 120

2) E (Z) = 12 and Variance of Z = 90

a) 5 liters

Step-by-step explanation:

1. We can find this by suing combinations.

Here n= 10 and r= 3 so n C r

= 10 C 3= 120

2. E(X) = 8 and E(Y) = 3

Z = 2X - 3Y +5

E(Z ) = 2 E (X) - 3(E)(Y) +5   ( applying property for mean)

       = 2(8) - 3(3)+ 5 = 16+5-9= 21-9= 12

V(X) = 9 and V(Y) = 6.

V(Z) = E(Z )²-  V(X) *V(Y)   (applying property for Variance for two variables )

        = 144- 54= 90

3. 55 liters contain adulterated milk in 7: 4.

So it contains 4/ 11*55= 20 liters of water

But we want to make it a ratio of 7:6

the water will be 6/13 *55= 25.38 when rounded gives 25 liters of water

So 25- 20 = 5 liters must be added to make it a ratio of 7:6

Answer:

This is because there are equal counts of both even and odd numbers

Step-by-step explanation:

Here in this question, we are concerned with stating the reason why it is likely that a standard number cube have the same probability for showing an even number as well as an odd number.

In the number cube, the odd numbers are 1,3 and 5. While the even numbers are 2,4 and 6.

From here, we can see that there are three set of each number types. What this automatically means is that the probability of selecting an even number will be equal to the probability of selecting an odd number. Thus, we can say that it is just as likely that the cube will show an even number as an odd number because each of the type of numbers have 3 values each.

Answer:

it's b :)

Step-by-step explanation:

A number line which represents the solution set for the given inequality is: option B.

A number line refers to a type of graph with a graduated straight line which contains numerical values (both positive and negative numbers) that are placed at equal intervals along its length.

Next, we would solve the given inequality:

-½x ≥ 4

-x ≥ 4 × 2

x ≤ -8.

Therefore, a number line which represents the solution set for the given inequality is a number line from -10 to 10 in increments of 2 with a point at -8 and a bold line starts at -8 while pointing to the left.

Read more on number line here: brainly.com/question/24644930

#SPJ9

3×4·20 equals to 12.6 please thats youre awnser

Answer:

The ratios are equivalent.  

The ratios are a proportion.

Step-by-step explanation:

Write it out as an equation:

(48 /(5+(11-8))) -7

Simplify:

(48/(5+3))-7

(48/8)-7

6-7 = -1

The answer is -1

Answer:

Step-by-step explanation:

In this problem we are required to find the cost of the laptop when 9.25% of the cost is added as tax

we are given that the tax rate is 9.25% of the initial cost

and the initial cost is $703.98

 let us calculate 9.25% of  $703.98

(9.25/100)* 703.98= 0.0925*703.98= $65.12

Hence the charges for tax is $65.12

The total cost of the laptop when tax is included is

the initial cost Plus the tax charges= $703.98+$65.12= $769.098

$769.10

Answer: The answer is B

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

The angles of a triangle add to 180

U and S are equal since they are the base angles  and UT and ST are equal

S + T + U = 180

x + 26 + 90 + x+26 = 180

Combine like terms

2x +142 = 180

Subtract 142 from each side

2x = 38

Divide each side by 2

2x/2 = 38/2

x = 19

Answer:

19

Step-by-step explanation:

x+26+x+26+90 = 180

2x + 52 = 90

2x = 38

x = 19

Answer:

25x

Step-by-step explanation:

100x^2 -250xy +75x

Rewriting

25*4*x*x -25*10 *x*y + 25*3*x

As we can see each term contains 25x

The greatest common factor is 25x

25x( 4x -10y+3)

Answer:

25x

Step-by-step explanation:

GCF means the greatest common factor.

First, we write the factors of these numbers.

=> 100x^2 = 2 * 2 * 5 * 5 * X * X

=> 250xy = 5 * 5 * 5 * 2 * X * Y

=> 75x = 5 * 5 * 5 * x

=> Next, we need to take the numbers that come in all sets.

=> 5 , 5 , x

Next, we multiply these numbers.

=> 25x

So, the GCF of these numbers are 25x

Answer:

A

Step-by-step explanation:

We can plug in all of the x and y values to check if the point is a solution to the inequality.

Point A: x = 1, y = 7

7 > |1| + 5

7 > 1 + 5

7 > 6

This is a true statement, which means that this point is a solution to the inequality. We don't have to check any more points since we have found our answer.

Answer:

[tex] q = 2(3r + 8) [/tex]

Step-by-step explanation:

There are two variables, q and r in the expression given. To make r the independent variable, it simply means, make q the subject of the formula, so that variable q would be dependent on variable r. As r changes, q changes also.

Thus,

[tex] q - 10 = 6(r + 1) [/tex]

Open the parenthesis

[tex] q - 10 = 6r + 6 [/tex]

Add 10 to both sides

[tex] q - 10 + 10 = 6r + 6 + 10 [/tex]

[tex] q = 6r + 16 [/tex]

[tex] q = 2(3r + 8) [/tex]

Answer:

x=1

Step-by-step explanation:

subtract 38 from both sides:

7x=7

divide both sides by 7 to isolate x:

x=1

HOPE THIS HELPS!!!! :)

Answer:

D

Step-by-step explanation:

The area of a triangle is given by:

[tex]A=\frac{1}{2} bh[/tex]

The base is 14 and the height is 8. Plug it into the formula:

[tex]A=\frac{1}{2} (8)(14)\\A=4(14)\\A=56\text{ cm}^2[/tex]

Answer:

Step-by-step explanation:

A line from the center of the circle to bisect  a chord is perpendicular to the chord.

Therefore, OA⊥ AS

Join O & R

OR is radius of the circle

ΔOAR is right angled triangle.

Use Pythagorean theorem to find OR

OR² = OA² + RA²

       = 3² + 4²

       = 9 +16

OR² = 25

OR = √25

OR = 5 cm

OP  is radius. Therefore, OP = OR = 5 cm

PA = OP + OA

     = 5 + 3

PA = 8 cm

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Answer: just trust in God and you will find the answer

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 3

▹ Step-by-Step Explanation

[tex]\frac{9}{150} \\\\150/3 = 50\\9/3 = 3\\\\x = 3[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Around 1.6 cm per month

Step-by-step explanation:

We can set up a proportion to find how much the hair grows per month. It's important to note that there are 12 months in a year, so we can represent a year as 12 months.

[tex]\frac{19}{12} = \frac{x}{1}[/tex]

We can now cross multiply:

[tex]19\cdot1=19\\\\19\div12=1.58\overline{33}[/tex]

1.58333... rounds to 1.6.

Hope this helped!

Answer:

$1.80

Step-by-step explanation:

2/3x = 1.2

x = 1.2 / (2/3)

x = 1.2 * (3/2)

x = 1.80

Answer:

4 terms

constant 10

third term is -7z

coefficient of the second term is 3

Step-by-step explanation:

-5x+3y -7z +10

There are 4 terms, -5x, 3y ,-7x, 10

The constant is the term without the variable ( letter)

The constant is 10

The third term is -7z

The coefficient is the number in front of the variable

The coefficient of the second term 3y is 3

For part a, we are asked how many terms does this expression have.

Well a term can be a number, a variable, or it can

even be a number times one or more variables.

So the terms would be -5x, +3y, -7z, and +10.

For part b, we are asked what is the constant.

Usually, constants are numbers all by themselves.

So here, the constant would be 10.

In part c, we are asked what is the third term.

Well, looking at the expression, we can see that -7z is the third term.

Finally, what is the coefficient of the second term.

The coefficient is the number before your variable.

So here, the coefficient would be 3.

Answer: the boy won 10 games

Step-by-step explanation:

Let's call B as the number of games won by the boy, and F as the number of games won by the father.

We know that, there is a total of 26 games:

B + F = 26.

We know that in each game won by the boy, he wins 8 cents, for every game that the father wins, the boy losses 5 cents, and we know that at the end of the 26 games, the boy did not win or lose any money, so we have:

B*8 + F*(-5) = 0.

Then we have a system of equations:

B + F = 26

8*B - 5*F = 0.

The first step is isolating one of the variables. Let's start isolating F in the first equation:

B + F = 26

F = 26 - B.

Now we can replace this in the second equation:

8*B - 5*F = 0

8*B - 5*(26 - B) = 0

8*B + 5*B - 5*26 = 0

13*B = 5*26

B = 5*26/13 = 5*2 = 10

So the boy won 10 games (then the father won the other 16 games)

Answer:

Step-by-step explanation:

[tex]\left|2x-11\right|<3\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:<\:a,\:a>0\:\mathrm{then}\:-a\:<\:u\:<\:a\\\\-3<2x-11<3\\\\2x-11>-3\quad \mathrm{and}\quad \:2x-11<3\\\\2x-11>-3\quad :\quad x>4\\\\2x-11<3\quad :\quad x<7\\\\x>4\quad \mathrm{and}\quad \:x<7\\\\4<x<7[/tex]

Answer:

66

Step-by-step explanation:

The figure of triangle JKL is attached. JA = 9, AL = 10, and CK = 14.

According to two tangent theorem, the tangent to a circle that meets at the same point is equal to each other. Therefore:

AJ = BJ, AL = CL, CK = BK.

Since AJ = 9, BJ = AJ = 9

AL = 10, CL = AL = 10

CK = 14, BK = CK = 14.

Therefore the lengths of the triangle sides are:

JL = AJ + AL = 9 + 10 = 19

JK = BJ + BK = 9 + 14 = 23

KL = CL + CK = 14 + 10 = 24

The perimeter of the triangle is the sum of all its sides, it is given as:

Perimeter = JL + JK + KL = 19 + 23 + 24 = 66

Answer: x' = 30t

              y' = 20t

Step-by-step explanation:

To find the derivative, multiply the exponent to the leading coefficient and decrease the exponent by 1.

x = 15t²

x' = 2 · 15t²⁻¹

  = 30t¹

  = 30t

y = 10t²

y' = 2 · 10t²⁻¹

   = 20t¹

   = 20t

Answer:

1). 114.29 km per hour

2). 93.24 km per hour

Step-by-step explanation:

Question (1)

Umar drove his taxi in two parts;

1). Ipoh to Tapah

2). Tapah to Kuala Lumpur

Since, the formula to calculate the average speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

Total distance from Ipoh to Tapah = 60 km

Average speed to cover this distance = 100 km per h

Time taken to cover this distance = [tex]\frac{\text{Distance covered}}{\text{Speed}}[/tex]

                                                            = [tex]\frac{60}{100}[/tex]

                                                            = 0.6 hours

Total distance from Ipoh to Kuala Lumpur = 220 km per h

Average speed from Ipoh to Kuala Lumpur = 110 km per h

Time taken to cover the distance = [tex]\frac{220}{110}[/tex] = 2 hours

Distance from Tapah to Kuala lumpur = 220 - 60

                                                               = 160 km

Time taken to travel from Tapah to Kuala Lumpur = 2 - 0.6

                                                                                   = 1.4 hours

Average speed from Tapah to Kuala Lumpur = [tex]\frac{160}{1.4}[/tex]

                                                                           = 114. 29 km per hour

Question (2).

Speed achieved by the leopard = 25.9 meter per sec.

Since, 25.9 meter = [tex]\frac{25.9}{1000}[/tex] km

                              = 0.0259 km

1 second = [tex]\frac{1}{3600}[/tex] hour

Therefore 25.9 meter per second = [tex]\frac{0.0259}{\frac{1}{3600} }[/tex]

                                                        = 0.0259 × 3600

                                                        = 93.24 km per hour