Graph the equation using the point and the slope.
y-5= 1/5
​(x-5​)
Use the graphing tool to graph the equation. Use the point contained in the equation when drawing the line.

Answer:

The amount of electricity bill is $52.60.

Step-by-step explanation:

Given:

Victoria whit used 578 kwh of electricity.

The rate is 9.1 cents per kw-hr.

Now, to find the amount of her electric bill.

Electricity used = 578 kwh.

Rate of electricity = 9.1 cents per kw-hr.

So, to get the amount we multiply the electricity used by the rate of electricity:

[tex]Amount\ of\ electric\ bill=Electricity\ used\times rate\ of\ electricity[/tex]

[tex]Amount\ of\ electric\ bill=578\ kwh\times 9.1\ cents[/tex]

[tex]Amount\ of\ electric\ bill=5259.8\ cents.[/tex]

Thus, the amount of electricity bill = 5259.8 cents.

Now, converting the amount from cents to $ by dividing:

$1 = 100 cents.

So, 5259.8 cents ÷ 100 = $52.60 .

therefore, the amount of electricity bill is $52.60.

300 students attend Washington middle school.

Step-by-step explanation:

Given,

Percentage of students who play sport = 64%

Number of students who play sport = 192

Let,

x represent the total number of students at Washington middle school.

64% of x = 192

[tex]\frac{64}{100}x=192\\0.64x=192[/tex]

Dividing both sides by 0.64

[tex]\frac{0.64x}{0.64}=\frac{192}{0.64}\\x=300[/tex]

300 students attend Washington middle school.

Keywords: percentage, division

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Answer:

11

Step-by-step explanation:

2x11 equals 22, and that plus 5 is 27

Answer:

The address of Ainsley is 24 and that of Lane is 25.

Step-by-step explanation:

All the houses on sequence lane have an address whose numerical portions are greater than that of the prior house.

Now, if Ainsley and Lane are next-door neighbors and the sum of the numerical portions of their addresses is 49.

Let the Ainsley has the address with numeric portion x, then Lane has the address with numeric portion x + 1.

Therefore, x + (x + 1) = 49

⇒ 2x = 48

⇒ x = 24

So, the address of Ainsley is 24 and that of Lane is 25. (Answer)

Answer:

B  [tex]x^4-x^3+x^2-x+1[/tex]

Step-by-step explanation:

Given,

Dividend = [tex](x^5+1)[/tex]

Divisor = [tex](x+1)[/tex]

Step 1: First The dividend is [tex](x^5+1)[/tex] and Divisor is [tex](x+1)[/tex] when divided first time the quotient will be [tex]x^4[/tex] and remainder will be [tex]-x^4+1[/tex]

Step: 2 Now the new dividend is [tex]-x^4+1[/tex] and Divisor is [tex](x+1)[/tex]  when divided the quotient will be [tex]x^4-x^3[/tex] and remainder will be [tex]x^3+1[/tex]

Step: 3 Now the new dividend is [tex]x^3+1[/tex] and Divisor is [tex](x+1)[/tex]  when divided the quotient will be [tex]x^4-x^3+x^2[/tex] and remainder will be [tex]-x^2+1[/tex]

Step: 4 Now the new dividend is [tex]-x^2+1[/tex] and Divisor is [tex](x+1)[/tex]  when divided the quotient will be [tex]x^4-x^3+x^2-x[/tex] and remainder will be [tex]x+1[/tex]

Step: 5 Now the new dividend is [tex]x+1[/tex] and Divisor is [tex](x+1)[/tex]  when divided the quotient will be [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.

Hence When the polynomial [tex](x^5+1)[/tex] is divided by  [tex](x+1)[/tex] the answer or quotient will be equal to  [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.

Answer:

15 in2

Step-by-step explanation:

3*5= 15

length*width= area

Hope it helped!!!

PLZ GIVE BRAINLIEST!!!!!

Answer: 16 square inch

Step-by-step explanation: 5+5+3+3=16

Answer:

Step-by-step explanation:

The graph of log 2x has the same shape as that of log x, except that it is compressed horizontally by a factor of 2.

Additionally, that +3 indicates that we must translate the above graph upwards by 3 units.

we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

We can transform [tex]y = \log x[/tex] into [tex]y = \log 2\cdot x +3[/tex] by means of the following operations:

That is, we represent the operations defined above mathematically:

1) [tex]y = \log x[/tex]

2) [tex]y = \log 2\cdot x[/tex]

3) [tex]y = \log 2\cdot x + 3[/tex]

In a nutshell, we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

We kindly invite to check this question on transformation rules: https://brainly.com/question/17478764

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Money spent on jersey and pant = 65 * 17.50 + 65*11 = 65 * (17.50+11)

                                                       = 65 * 28.50 = $1852.50

Answer:

[tex]6\frac{1}{12}\ yd[/tex]

Step-by-step explanation:

The correct question is

Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

How many yards of ribbon does Marcella have left?

we know that

To find out how many yards of ribbon Marcella has left, add up the yards of ribbon used for the gift packages plus the yards of ribbon used to tie the balloons. and subtract this result from the total yards of ribbon bought by Marcella

so

[tex]12\frac{1}{4}-(2\frac{1}{2}+3\frac{2}{3})[/tex]

but first convert mixed number to an improper fractions

[tex]12\frac{1}{4}=\frac{12*4+1}{4}=\frac{49}{4}[/tex]

[tex]2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]

[tex]3\frac{2}{3}=\frac{3*3+2}{3}=\frac{11}{3}[/tex]

substitute in the expression above

[tex]\frac{49}{4}-(\frac{5}{2}+\frac{11}{3})[/tex]

[tex]\frac{49}{4}-(\frac{5*3+2*11}{6})[/tex]

[tex]\frac{49}{4}-(\frac{37}{6})[/tex]

[tex]\frac{3*49-37*2}{12}[/tex]

[tex]\frac{73}{12}\ yd[/tex]

Convert to mixed number

[tex]\frac{73}{12}\ yd=\frac{72}{12}+\frac{1}{12}=6\frac{1}{12}\ yd[/tex]

Final answer:

After calculating the total ribbon used in yards and subtracting it from the amount Marcella bought, we find that she has 5 13/42 yards of ribbon left.

Explanation:

To determine how many yards of ribbon Marcella has left, we need to subtract the total amount of ribbon she used from the initial amount she bought. Marcella originally bought 12/14 yards of ribbon. She used 2 1/2 yards for gift packages and 3 2/3 yards for tying balloons.

To make the subtraction easier, we'll first convert the mixed numbers to improper fractions. The mixed number 2 1/2 becomes 5/2 when we multiply 2 (the whole number) by the denominator (2) and then add the numerator (1), resulting in 4 + 1 = 5 over the original denominator 2. Similarly, 3 2/3 becomes 11/3 when we multiply 3 (the whole number) by the denominator (3) and then add the numerator (2), resulting in 9 + 2 = 11 over the original denominator 3.

Now, let's perform the subtraction:

First, simplify 12/14 to 6/7 by dividing both the numerator and denominator by 2.

Next, find a common denominator for all three fractions. The least common denominator for 2, 3, and 7 is 42.

Convert each fraction to have the denominator of 42.

12/14 yards (or 6/7 yards when simplified) is (6/7) * (42/42) which equals 36/42 yards.

2 1/2 yards as an improper fraction is 5/2, and when converted to have a denominator of 42, it becomes (5/2) * (21/21) which equals 105/42 yards. Similarly, 3 2/3 yards is 11/3, and when converted to have a denominator of 42, it becomes (11/3) * (14/14) which equals 154/42 yards.

Now subtract both of these amounts from 36/42 to find out how much ribbon Marcella has left:

36/42 - 105/42 - 154/42 = (36 - 105 - 154)/42 = -223/42

Because we cannot have a negative amount of ribbon, we realize we made an error. We should add the fractions instead of subtracting:

36/42 - (105/42 + 154/42) = (36/42) - (259/42)

This simplifies to -223/42, which is an improper fraction. To convert this back to a mixed number, we divide 223 by 42.

223 divided by 42 is 5 with a remainder of 13, so Marcella has 5 13/42 yards of ribbon left. However, we need the positive value since ribbon length cannot be negative. Thus, we keep the positive difference:

Marcella has 5 13/42 yards of ribbon remaining.

In conclusion, after Marcella uses ribbon for gift packages and tying balloons, she is left with 5 13/42 yards of ribbon.

Answer:

in full, on time, every time

Step-by-step explanation:

in full, on time, every time because even if little is left out it would again a large amount together with the interest. Also as the limit is low it can easily be reimbursed

500 guitar picks

order 15 boxes with 9 picks each

sell 19 boxes with 10 picks each

-> the store ordered about 150 picks (15 x 9 -> 15 x 10)

-> the store sold about 200 picks (19 x 10 -> 20 x 10)

it is reasonable, since they have 50 fewer picks which is about 450.

(second option)

Answer:

10.8

Step-by-step explanation:

we move the 3.6 to tge other side so the sighn of it will be negative the we subtract them so m=10.8

Answer:

m=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

METHOD 1:

The formula of a distance between two points:

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

Substitute the coordinates of the given points (-4, 6) and (9, 6):

[tex]d=\sqrt{(9-(-4))^2+(6-6)^2}=\sqrt{(9+4)^2+0^2}=\sqrt{13^2}=13[/tex]

METHOD 2:

We can see that the second coordinates of the points (ordinate) are the same. Therefore, they lie on a horizontal line. The distance between them is the distance between the x coordinates (abscissa).

The formula of a distance between two numbers:

[tex]d=|b-a|[/tex]

We have

[tex]a=-4,\ b=9[/tex]

Substitute:

[tex]d=|9-(-4)|=|9+4|=|13|=13[/tex]

Explanation:

Note: As you haven't clearly specified the answer choices. But, I am assuming one of the answer choices may have included some negative number under a square root, as a real number cannot have a negative number under a square root. So, whatever the choice may have contained the negative number under a square root would represent the complex number. Anyhow, I would try to clear your concept.

So, lets move forward.

A complex number is basically the combination of a real number and imaginary number which can be expressed in the form of [tex]a+ib[/tex]. where a and b are termed as real numbers and i is a solution of the equation x² = -1.

So,

In  [tex]a+ib[/tex],

For example, let us consider

[tex]2 + \sqrt{-1}[/tex]

Therefore, [tex]2 + \sqrt{-1}[/tex] is a complex number.

Keywords: complex number, iota

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Answer:

Step-by-step explanation:

5x+9y+90

This is just an algebraic expression.

-6r+48

Step-by-step explanation:

D. The bottom one shows proportional relationships between x and y because it is y = .5x

Answer:

[tex]A=18000 \cdot e^{0.0125 \cdot 2}[/tex]

[tex]A=18455.67[/tex] (Approximated)

Step-by-step explanation:

[tex]A=Pe^{rt}[/tex]

We are given the following along with the equation we are to use:

[tex]P=18000[/tex]

[tex]r=1.25\%=\frac{1.25}{100}=0.0125[/tex]

Be careful it says [tex]t[/tex] is in years and it gives us a time that is in months.

[tex]12 \text{months}=1 \text{ year}[/tex]:

[tex]t=\frac{24}{12}=2[/tex]

Let's plug in our information:

[tex]A=18000 \cdot e^{0.0125 \cdot 2}[/tex]

Plugging in the right hand side into my calculator gives:

[tex]A=18455.67[/tex] (Approximated)

Answer:

C. x – 7

E. x + 2

Step-by-step explanation:

Answer:

C. and E. on edge

Step-by-step explanation:

Answer:

[tex] - 25 + ( - 18) \\ - 25 - 18 \\ = - 43[/tex]

hope this helps you....

Answer:

216

Step-by-step explanation:

Multiply 80x270, which gives you 21,600, then move the decimal at the end of the number two times to the left and you'll get 216

Answer:

32 is 99% of 33 cause 33 is 100% of 33

Step-by-step explanation:

Step-by-step explanation: First we have "what number" which we can represent by the variable x. Next we have is which means "is equal to" so we write an equals sign, then we have 99% which we need to write as a decimal so we move the decimal point 2 places to the left to get 0.99 and "of 33" means times 33.

Now we have the following equation.

X = (.99)(33)

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.  

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm  

Hence,

[tex]{AB}^2 = (a -1)^2[/tex] 

Now We know that

[tex](a- b)^2 = a^2+b^2 - 2ab[/tex]

So;

[tex]{AB}^2= a^2 + 1^2 -2\times a \times1[/tex]

[tex]{AB}^2 = a^2 + 1 -2a[/tex]

Now;

[tex]{BC}^2 = (2\sqrt{a})^2= 4a[/tex]

Also;

[tex]{CA}^2 = (a + 1)^2[/tex]

Now We know that

[tex](a+ b)^2 = a^2+b^2 + 2ab[/tex]

[tex]{CA}^2= a^2 + 1^2 +2\times a \times1[/tex]

[tex]{CA}^2 = a^2 + 1 +2a[/tex]

[tex]{CA}^2 = AB^2 + BC^2[/tex]

[By Pythagoras theorem]

[tex]a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a[/tex]

Hence, [tex]{CA}^2 = AB^2 + BC^2[/tex]

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

Answer:

14x+28, where x = cost of each souvenir

Step-by-step explanation:

Given that  Rose visited 14 cities on her vacation. She bought 8 souvenirs in each city to send to her friends. Rose paid $2 in postage for each souvenir she sent. 1.

Here the cost of each souvenir is not given.

Let this cost be x

Then we get

Total cost = [tex]14x+2(14) = 14x+28[/tex]

2) Strategy used it total cost = cost of souvenir +cost of postage.

3) Rose spent 14x+28

Answer:

7.5

Step-by-step explanation:

5(x+2)-4(x+1)

5x+10-4x-4

5x-4x+10-4

x+6

1.5+6=7.5

Answer:

7.5

Step-by-step explanation:

Substitute 1.5 into the equation

5(1.5+2) − 4(1.5+1)

5(3.5) − 4(2.5)

17.5 - 10 = 7.5

Answer:

0.15

Step-by-step explanation:

3/4÷5

Answer:

Step-by-step explanation:

The GCF is the common "thing" in each one of the terms in our polynomial.  Since 3 doesn't divide evenly out of 10, 3 is not a GCF.  But b-squared is common in both.  So for part A. the GCF is b-squared.

part B.  Factor out the GCF:

[tex]b^2(3b+10)=0[/tex]

For part C. What are the solutions?  The solutions are found in the Zero Product Property which states that if the factors of a polynomial, when multiplied together, equal 0, then either one of the factors or both of the factors have to equal 0 because 0 times anything equals 0.  That means that

[tex]b^2=0[/tex] and/or 3b + 10 = 0

Solving the first equation:

[tex]b^2=0[/tex] and b = 0.

Solving the second equation:

3b + 10 = 0 and

3b = -10 so

[tex]b=-\frac{10}{3}[/tex]

Answer:

  Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

 0.580   0.805   1.160   1.085   1.345   1.470

The figure attached represent the boxplot obtained.

Step-by-step explanation:

We can use the following excel code:

data<-c(1.16, 0.72, 1.01, 1.36, 1.28, 1.47, 1.33, 0.68, 1.45, 0.58, 0.89)

> summary(data)

  Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

 0.580   0.805   1.160   1.085   1.345   1.470

We can order the data on increasing way:

> sort(data)

[1] 0.58 0.68 0.72 0.89 1.01 1.16 1.28 1.33 1.36  1.45 1.47

And for this case we got this:

The minimum on this case is: [tex]Minimum =0.58[/tex]

The maximum would be: [tex]Maximum = 1.47[/tex]

In order to find the median we need to find the value on the 6 position from the data ordered, and we got:

[tex]Median = 1.16[/tex]

And in order to obtain the boxplot we can use R to grapth the boxplot"

> boxplot(data,main="Boxplot")

And the result is on the figurea attached.

The five-number summary of the given data set is 0.58, 0.72, 1.16, 1.36, 1.47, representing the minimum, first quartile, median, third quartile, and maximum values of the data. These can be used to create a box plot to visualize the data.

The five-number summary of a data set includes the minimum, first quartile, median, third quartile, and maximum values of the data set. Here's how we can find those for the given radiation absorption rates:

So, the five-number summary is: 0.58, 0.72, 1.16, 1.36, 1.47.

To make a box plot, draw a number line from the minimum to the maximum and draw a box from the first quartile to the third quartile. Draw a line (the 'median line') inside the box at the median. Finally, draw 'whiskers' from the box to the minimum and maximum.

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Answer:

968 square feet

Step-by-step explanation:

Let x be the new flooring install in 24 hours.

Given:

Ryan can install 121 square feet of flooring in 3 hours.

So, Ryan can install flooring in one hour = [tex]\frac{121}{3} feet^{2}[/tex]

Ryan can install flooring in 24 hours.

[tex]x= 24\times flooring\ in\ one\ hour[/tex]

[tex]x=24\times \frac{121}{3}[/tex]

[tex]x=8\times 121[/tex]

[tex]x=968\ feet^{2}[/tex]

Therefore, Ryan can install 968 square feet of flooring in 24 hours.