Handsome Jack is buying a pony made of diamonds. The price of the pony is PPP dollars, and Jack also has to pay a 25\%25%25, percent diamond pony tax.
Which of the following expressions could represent how much Jack pays in total for the pony?
Choose 2 answers:

A: P+1/4
B: P + 0.25 P
C: (P + 1/4) P
D : 5/4 P
E: 0.25P

Answer: y = 13.50x + 75

Step-by-step explanation:

13.50 is an hourly wage so it is x.

+ 75 because of the bonus.

Y = the total

So, the equation must be:

Y= 13.50x + 75

x=Mike's age

y=Dan's age

It is given that,Mike is three years older than dan.

→ x=y+3

If you will draw the graph of the function, it will cut x axis at (3,0) and y axis at (0,-3).

⇒Graph-2

The graph that represents the relationship between Mike's age and Dan's age (y), is Option A with a positive slope of 1.

The relationship between Dan's age and Mike's age can be represented by a linear equation, where Mike's age (x) is three years older than Dan's age (y).

Therefore, the graph that represents this relationship would be a straight line with a positive slope of 1 and a y-intercept of -3.

The equation for this relationship would be:

x = y + 3

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The method that is used to solve systems of equations is D. All of the above.

Therefore, the correct option is all of the above.

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-2/3 x -1/4 = 1/6

Hope I helped!

Good Luck!

these both are negatives so the become positives:

[tex]\frac{2}{3}[/tex] x [tex]\frac{1}{4}[/tex]

Multiply them normally from left to right:

[tex]\frac{2}{12}[/tex]

Simplify.

Final answer: [tex]\frac{1}{6}[/tex]

hope that helps :)

x=  10.43398113 ,  -8.43398113

Answer:

y - 7 = -1/2(x + 15)

Step-by-step explanation:

m = (7 + 3)/(-15 - 5)

m = 10/-20

m = -1/2

y - y₁ = m(x - x₁)

y₁ = 7; x₁ = -15

y - (7) = (-1/2)(x - (-15))

y - 7 = -1/2(x + 15)

6x³y + 6xy − 12x² − 12 = 6(xy-2) * (x²+1)

(x²+1) is a factor of 6x³y + 6xy − 12x² − 12

The number 44 is 11 percentage of the number 400, and the correct option is B) 44 = 0.11 * x ; 400

Given data:

The first number is represented as p.

The value of p = 44

The second number is represented as q.

The value of q = q

So, the percentage of the number is A = 11 %, where A = ( p/q ) * 100

On simplifying the equation:

11 = ( 44/q) * 100

q = 4 * 100

q = 400

Hence, the number is 400.

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Solution

The general form of the n-th term = a + (n-1)d

Here we are given the 1st term (a) = 1

2nd term = 2

So the sequence is

1, 2, 3, 4, 5 , 6, 7, 8, ....................100, 101, 102....

The value of the first term in this sequence that is greater than 100 is 101.

Answer is a. 101

Answer:

Rhea makes $2295 every month.

Step-by-step explanation:

In order to find this, we have to note that one-third of her salary is equal to $765. Give that fact, we know multiplying her rent total by 3 would give us the total salary.

$765 * 3 = $2295

Answer:

Alecia drives at a slower rate than Trish, according to my math, too lazy to explain, please just believe me.

46 MPH for Trish.

Step-by-step explanation:

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Alecia drives at 43 mph and Trish drives at 46 mph. Alecia drives slower than Trish.

Here we are given the speed in meter per second as 8.8 m/s.

Now we have to convert this speed into kilometers per hour.

We are also given :

1 kilometer = 1000 meters and

1 hour = 60 minutes = 3,600 seconds

Now let us convert 8.8 m/s into km/h

1 m/ sec = (1/1000) km / (1/3600) hr

1 m/ sec = 18/5 km /hr

8.8 m/ sec = (18/5) * 8.8 km /hr

8.8 m/ sec = 31.68 km/h

Answer: So the speed in kilometers per hour is 31.68 km/hr. (option C)

To find Roy's total frequent flyer miles, add his current miles (10,368), the miles he'll earn from his trip to New York (2,832) and the miles he'll earn from his credit card spending (2 miles per dollar spent). The final expression for total miles is 13,200 + 2d where 'd' is the amount spent using the credit card.

Roy's total frequent flyer miles can be calculated by adding his existing miles, his incoming miles from his trip to New York, and the miles gained from using his credit card. Let's assume he spends 'd' dollars using his credit card.

Firstly, we combine the miles he already has and those he will earn from his round trip: 10,368 miles + 2,832 miles = 13,200 miles.

Secondly, we consider his credit card earnings. As he gains 2 miles per dollar spent, he will earn '2d' miles from his credit card spendings.

Finally, we add these together to get the total frequent flyer miles he will have: 13,200 miles + 2d miles. Therefore, the total miles that Roy will have depends on the amount 'd' he spends on his credit card.

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I am not sure what the answer is, so thanks for the free points?..

answer: 20

work:

okay, so to solve this, set up as a system of equations and solve:

[tex]\frac{3}{5} = \frac{12}{x}[/tex]

this equation models our problem, because it shows the 3 to 5 ratio and out 12 to x, the number we're trying to find.

so, to solve, cross multiply

3(x) = 5(12)

3x = 20

x = 20

so, when there are 12 oranges, there are 20 pics total.

checking the answer:

the original equation states that "Three out of every five picks are orange" so, this means we can represent this as a fraction, 3/5.

to verify if our other fraction, which we can model as 12/20 is correct, we can simplify it, and if it's equivalent to 3/5 we know it's correct.

so, to simplify we need to find the greatest common factor between 12 and 20 so we can divide both numbers by this fraction.

well, the greatest common factor between these two numbers is 4, so divide both of them by 4.

[tex]\frac{12}{20}[/tex] ÷ [tex]\frac{4}{4} = \frac{3}{5}[/tex]

so, this verifies my answer is correct. hope this helps, and have an amazing day!

the lenght of the picture is 14

The standard form of an ellipse is

[tex] \dfrac{(x-x_0)^2}{a^2}+\dfrac{(y-y_0)^2}{b^2}=1 [/tex]

Let's try to complete some squares: if we focus on the part involing x, we have

[tex] 9x^2+54x = 9x^2+54x+81-81 = (3x+9)^2-81 = 9(x+3)^2-81 [/tex]

Similarly, for the part involving y, we have

[tex] 4y^2+8y = 4y^2+8y+4-4 = 4(y+1)^2-4 [/tex]

So, the equation becomes

[tex] 9(x+3)^2-81 + 4(y+1)^2-4 - 59=0 \iff 9(x+3)^2+ 4(y+1)^2-81-4-59=0 \iff 9(x+3)^2+ 4(y+1)^2 = 144 [/tex]

Divide both sides by 144 to get

[tex] \dfrac{(x+3)^2}{16}+ \dfrac{(y+1)^2}{36} = 1[/tex]

which is the standard form

Answer:

D

edge

Step-by-step explanation:

Answer: 3 m/s

Step-by-step explanation:

1) the instantaneous speed is the slop at t = 6 secs

2) since its a straight line, the slop of the line is the speed and its constant.

the slope is approximately 3 m/s.

20|

15|                          |

10|                          |    d = 15

 5|                           |  

 0|                           |                  

       1   2  3  4   5  6|  7  8    

                   t = 5    

So the formula for speed is

     speed = distance/time

              S = 15/5

              S = 3 m/s

Function 1:

For the given table

[tex]\begin{array}{cc}x&f(x)\\-2&-2\\-1&1\\0&4\\1&7\end{array}[/tex]

you can plot the graph of the function (see first attached diagram). This function is linear and has equation f(x)=3x+4.

Function 2:

For the given function f(x)=-2x+3 you can create a table

[tex]\begin{array}{cc}x&f(x)\\-2&7\\-1&5\\0&3\\1&1\end{array}[/tex]

and plot the graph (see second attached diagram).

Function 3:

For the given graph of the function, you can find the function:

[tex]\dfrac{x-0}{6-0}=\dfrac{y-(-3)}{0-(-3)},\\ \\\dfrac{x}{6}=\dfrac{y+3}{3},\\ \\2(y+3)=x,\\ \\y=\dfrac{1}{2}x-3.[/tex]

Thus, the equation of the function 3 is [tex]f(x)=\dfrac{1}{2}x-3.[/tex]

The table will take a look

[tex]\begin{array}{cc}x&f(x)\\-2&-4\\-1&-3.5\\0&-3\\1&-2.5\end{array}[/tex]

The question deals with linear functions representation.For each given linear representation, create two additional: table values and a graph. Use the given information, like equation or table values or a graph, to calculate other forms.

This assignment deals with creating matching cards for linear functions. For each linear function, you'll need to obtain two additional representations. Firstly, you should find the table of values which means identifying various x and y values that satisfy the function. For instance, if your given function is y = 2x + 3, just substitute different values into x and find the corresponding y-values.

Second is to derive the graph. You can do this by plotting the points you obtained for your table of values on a graph. You'll notice that all these points will fall on a straight line as it is a linear function.

The provided representation will guide you while creating your table and graph. For instance, if you are given the equation, figure out the slope and y-intercept because they're crucial to draw the graph and construct the table.

If presented with the table values, find the rate of change, which will be the slope, and a point on the table which gives you the y-intercept and hence give you an equation. Finally, if given a graph, find two points on the line then apply the slope-intercept form to find your equation and table values.

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well, 7+5=12, so he has 5 pencils, then you add 3, which gives you 15. So

Don has 15 markers

Answer:

Don have 15 markers.

Step-by-step explanation:

Don has 5 more pencils than crayons.

Let the number of crayons Don has = 7

number of pencils he has = 5 + 7 = 12

Don has 3 more markers than pencils.

Number of markers Don has = 3 + 12 = 15 markers

Don have 15 markers.

Hi,

You are absolutely correct.

You need to write it in decimal form.

Here are the answers

19) 5/11 = 0.4545 (Repeating decimal)

20) 6/10 = 0.6  (terminating decimal)

21) 4/11 = 0.3636363  (Repeating decimal)

22) 10/15 = 0.666667  (Repeating decimal)

Thank you :)

When multiply two power expressions, that both have the same base, we can simply add the exponents.

For the first image that you provided:

y^(3/4) x y^(1/3) = y^(3/4 + 1/3) = y^(9/12 + 4/12) = y^(13/12)

Let me know if you have any further questions!

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The expression (y^2)^3 can be rewritten as y^6 using the rule of exponents that states when you raise a power to a power, you multiply the exponents.

The expression (y^2)^3 can be rewritten in the form of y^n using the rule of exponents which states that when you raise a power to a power, you multiply the exponents.

Here, we have y raised to the power 2, and that result is being raised to the power 3. We multiply these exponents together (2*3) to get 6. Thus, the rewritten expression is y^6.

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$110.30

I took 125.99 x 3% or .03 which equaled 3.7767.

Then i added it to 125.99 and it equaled 129.7767

then i used a calculator online to finish the problem

We have 8^(-4) over 8^(-10). The bases are both 8, so we subtract the exponents (numerator minus denominator).

[tex]\frac{8^{-4}}{8^{-10}} = 8^{-4-(-10)} = 8^{-4+10} = 8^{6}[/tex]

The final answer is choice C) 8^6

9/20 is your answer hope this helps

Put this in a calculator 7/13 + 2/7 it equals 9/20 because the denominator is not equal so it doesn’t stay the same

There is a lot to go over here. Unfortunately it looks like you got a lot incorrect. I'll focus on two problems. Hopefully these examples below will help correct the other mistakes.

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

Problem 7)

We have the starting value be 20 and the ending value be 11. Subtract the values: (end)-(start) = 11 - 20 = -9. The negative indicates we have a drop or decrease.

We'll focus on the positive version of this number, so 9. Divide this value over the starting amount 20 to get 9/20 = 0.45 = 45%

So going from 20 miles to 11 miles is a decrease of 45%

Answer to problem 7 is: 45%

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

Problem 13)

An increase of 300% means we added 3 times the original amount onto the original amount.

We take 300% of 25 to get 3*25 = 75

Which is then added onto 25 to get 25+75 = 100

Answer to problem 13 is: 100