The original price of a mountain bike was reduced by $125.
If p = the mountain bike's original price in dollars, which algebraic expression
represents the reduced price?
A. 125+ p
B. 125p
c. p-125
D. 125 - P

Answer:-1

Step-by-step explanation:

The slope of the line passing through the points (-4,4) and (-6,6) can be calculated using the formula for slope (m = (y2 - y1)/(x2 - x1)). Substituting the provided points into the formula gives m = 2/-2 = -1. Thus, the slope is -1.

To determine the slope of a line passing through the two points (-4,4) and (-6,6), we use the following formula for calculating slope, often associated with the letter 'm':

Where x1, y1, x2, and y2 are the coordinates of the points the line passes through. In this case, (x1, y1) is (-4,4) and (x2, y2) is (-6,6).

these values into the formula:

m = (6 - 4) / (-6 - -4)

this gives us:

m = 2/-2 = -1

So, the slope of the line passing through the points (-4,4) and (-6,6) is -1.

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The solution for system of equations x-y=6 ,3 x-2 y=22 is x = 10 and y = 4

Solution:

Using substitution method of algebraic equations,

x - y = 6 --------equation 1

3x - 2y = 22 --------equation 2

Multiplying equation 1 by 2, equation 1 becomes

2 x - 2 y = 12

Multiplying equation 2 by -1, equation 2 becomes,

-3 x + 2 y = -22

Solving,

2 x - 2 y = 12

-3 x + 2 y = -22

-x = -10

x = 10

Substitute  x = 10 in equation 1, 10 - y = 6

y  = 10 -6

y = 4

Answer:

10,4

Step-by-step explanation:

^^

Step-by-step explanation:

Given :- The line passes through the point ( 6 , 3 ) and has a slope of 3/2

• Also , to form an equation when a point through which line passes and slope of line is given we use the formula ;

( y - y1 ) = m ( x - x1 )

Where , y and x are variables and

( x1 , y1 ) are the points through which line passes also, m = slope of the required line

Here , x1 = 6 and y1 = 3

also, m = 3/2

[ Refer to the attached file for further process ]

Hey!

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

Formula:

y - y1 = m(x - x1)

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

We Know:

x = 6

y = 3

m = 3/2

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

Answer:

y - 3 = 3/2(x - 6)

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

Hope This Helped! Good Luck!

Answer:

d) 3x - 1

Step-by-step explanation:

Since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what it really is, so do not forget it. Anyway, here is how it is done:

-3| 3 8 -3

↓ -9 3

__________________

3 -1 0 → 3x - 1

You start by placing the c in the top left corner, then list all the coefficients of your dividend [3x² + 8x - 3]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is, tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 3 in your quotient can be a 3x, then -1 follows right behind it.

I am joyous to assist you anytime.

Answer:

7 1/8 miles.

Step-by-step explanation:

The total number of miles Mary walked is 8 1/8.

Given that, Mary walked [tex]2\frac{1}{4}[/tex] miles around the park. In the afternoon, she  walked another [tex]5\frac{7}{8}[/tex] miles

We need to find the total distance walked by Mary.

Step I: Add the whole numbers together.

Step II: We take L.C.M. of the denominators and change the fractions into like fractions.

Step III: We add the like fractions and express the sum to its simplest form.

Now, [tex]2\frac{1}{4}+5\frac{7}{8}[/tex]=(2+5)(1/4 + 7/8)

=7 (2/8 + 7/8)

=7 9/8

=8 1/8

Therefore, the total number of miles Mary walked is 8 1/8.

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Answer: The answer is 19

Step-by-step explanation:

If  [tex]f(x)  = 2x^{2}  + \frac{5}{x-2}[/tex], Then

[tex]f(x)  = 2*3^{2}  + \frac{5}{3-2}[/tex]

[tex]f(x)  = 2*9  + \frac{5}{1}[/tex]

[tex]f(x)  = 18  + 1 =19[/tex]

Answer:

[tex]6\frac{1}{2}[/tex] hours more.

Step-by-step explanation:

We have been given that Linda planned to spend 9 hours practicing piano this week. By Tuesday, she had spent 2 1/2 hours practicing.

To find number of hours Linda needs to practice to reach her goal, we will subtract 2 1/2 from 9 as:

[tex]9-2\frac{1}{2}[/tex]

Convert mixed fraction into improper fraction:

[tex]2\frac{1}{2}\Rightarrow \frac{2\times 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}[/tex]

[tex]9-2\frac{1}{2}\Rightarrow 9-\frac{5}{2}[/tex]

[tex]\frac{9*2}{2}-\frac{5}{2}[/tex]

[tex]\frac{18}{2}-\frac{5}{2}[/tex]

Combine numerators:

[tex]\frac{18-5}{2}[/tex]

[tex]\frac{13}{2}[/tex]

[tex]6\frac{1}{2}[/tex]

Therefore, Linda needs to practice [tex]6\frac{1}{2}[/tex] hours more to reach her goal.

Linda needs to practice for 7 hours and 30 minutes more to reach her 9-hour goal. She's already practiced for 2 1/2 hours, so subtracting this from the total planned practice time of 9 hours gives us the remaining time needed.

Linda planned to spend a total of 9 hours practicing piano this week. By Tuesday, she had already spent 2 1/2 hours on her practice. To find out how much more time she needs to practice to reach her goal, we subtract the time she has already practiced from the total planned practice time.

Here's the step-by-step calculation:

Write down the total number of hours planned for practice: 9 hours.

Write down the number of hours already practiced: 2 1/2 hours.

Convert the 1/2 hour into minutes to make the subtraction easier: 2 hours + 30 minutes.

Now subtract the hours and minutes separately: (9 hours - 2 hours) = 7 hours. Then subtract the minutes, but since there are no minutes in 9 hours, it remains the same: 30 minutes.

So, Linda needs to practice for 7 hours and 30 minutes more to reach her 9-hour goal.

Answer:

X=0

Step-by-step explanation:

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

3(x+1)+x=2(x−3)+93(x+1)+x=2(x-3)+9

Simplify the left side.

4x+3=2(x−3)+94x+3=2(x-3)+9

Simplify 2(x−3)+92(x-3)+9.

4x+3=2x+34x+3=2x+3

Move all terms containing xx to the left side of the equation.

2x+3=32x+3=3

Move all terms not containing xx to the right side of the equation.

2x=02x=0

Divide each term by 22 and simplify.

x=0

Answer:

2√17

Step-by-step explanation:

√((8 - 0)² + (2 - 0)²)

√(64 + 4)

√68

2√17

The length of segment AB, where A = (0,0) and B = (8, 2), is calculated using the distance formula, resulting in a length of AB is √68.

To calculate the length of segment AB where A = (0,0) and B = (8, 2), we can use the distance formula derived from the Pythagorean theorem. The distance formula for two points A(x1, y1) and B(x2, y2) in a coordinate plane is the square root of the sum of the squares of differences between corresponding coordinates:

Distance AB = √[(x2 - x1)² + (y2 - y1)²]

Plugging in the coordinates of points A and B, we get:

Distance AB = √[(8 - 0)² + (2 - 0)²] = √[64 + 4] = √68

Therefore, the length of AB is √68, which is the exact length of the segment AB between points A and B.

Answer: It is always.

Step-by-step explanation: In an obtuse angle in a triangle, it will range from 90 degrees to 180, but that angle has to connect to the other two angles (and the other two angles plus the obtuse angle will always be 180 degrees).

Answer:

always

Step-by-step explanation:

x + 6 >= 0

x >= -6

Choice B is the answer.

Do you know why?

Answer:

Step-by-step explanation:

in discrete math, a single vertical line usually means "such that" as it relates to data sets. In this case it looks like a typo.

Answer:

10 large and 10 small buckets in total.

214 clams in total.

Answer: 7 large 3 small

Step-by-step explanation:

Final answer:

After 14 months, the total amount paid to both Community Gym and Workout Gym will be the same, at $910 each.

Explanation:

To determine after how many months the total amount paid to both Community Gym and Workout Gym will be the same, we set up two equations representing the total cost for each gym over time. Let's let x represent the number of months. For Community Gym, the total cost is given by $70 + $60x, and for Workout Gym, it's $210 + $50x.

We set these two expressions equal to find the point where the costs are the same: $70 + $60x = $210 + $50x. Solving for x, we subtract $50x from both sides, getting $70 + $10x = $210. Then, we subtract $70 from both sides to get $10x = $140. Finally, we divide by $10 to find that x equals 14. So, after 14 months, the total cost for both gyms will be the same.

To find out what this total amount will be, we substitute x = 14 back into either gym's total cost equation. Using Community Gym's equation: $70 + $60(14) = $70 + $840 = $910. Therefore, after 14 months, the amount paid to both gyms will be $910.

Answer:

48.6

Step-by-step explanation:

45 * 1.08 = 48.6

Answer:

The Consumer Price Index (CPI) is a measure that examines the weighted average of prices of a basket of consumer goods and services, such as transportation, food, and medical care. It is calculated by taking price changes for each item in the predetermined basket of goods and averaging them

Answer:

all work is shown and pictured

Answer:

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

Step-by-step explanation:

Given : Equation [tex]3x-7=x-2[/tex]

To find : Solve the equation ?

Solution :

a) Solve the equation using Alex's method of first subtracting x from both sides.

Equation [tex]3x-7=x-2[/tex]

Subtract x from both side,

[tex]3x-7-x=x-2-x[/tex]

[tex]2x-7=-2[/tex]

[tex]2x=-2+7[/tex]

[tex]2x=5[/tex]

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

b) Solve the equation using Danny's method of first adding 7 to both sides.

Equation [tex]3x-7=x-2[/tex]

Adding 7 from both side,

[tex]3x-7+7=x-2+7[/tex]

[tex]3x=x+5[/tex]

[tex]2x=5[/tex]

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

c) Both are correct in their ways.

d) Is there another correct first step for solving this equation? If so, identify it and use it to solve the equation. If not,explain why not.

Equation [tex]3x-7=x-2[/tex]

We can isolate the terms as like terms place together,

[tex]3x-x=-2+7[/tex]

[tex]2x=5[/tex]

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

Answer:

B

Step-by-step explanation:

7% of 172 is 12.04

Answer:

It would be A.

Step-by-step explanation:

It is a because you multiply 2 and 2 to get 4 then multiply 4 and 7 to get 28cm cubed

Answer:

Answer: A 28 cm^3

Step-by-step explanation:

Multiply your three values together to get your volume

Hope this is helpful! :)

Answer:

t = 7

Step-by-step explanation:

Combine like terms

3t - 2t + 2 = 9

t + 2 = 9

Move the variable

t + 2 = 9

 - 2      -2

t = 7

Answer:t=7

Step-by-step explanation:

Combine like terms

3t-2t+2=9

t+2=9

Subtract both sides with 2

t+2-2=9-2

t=7

Answer:

A.  4ab^2.

Step-by-Step Explanation.

12 a^3 b^6  c^5 / 3 a^2 b^4 c^5

Dividing each pairs of terms:

12 / 3 = 4.

a^3 / a^2 =  a.

b^6 / b^4 =  b^2.

c^5 / c^4 =  1.

So it is 4ab^2.

Answer:B. Rational Numbers

Step-by-step explanation:

Rational numbers can be finished. irrational number go on for infinity ex. pi.

Answer:

Range is 375, i have seen this one before.

Step-by-step explanation:

Take the largets value and subtract the smallest value from it to find the range.

Answer:

Step-by-step explanation:

$ 0.68 type →85lb

$ 0.20 type →35lb

Hey!

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

Let $0.68 per pound beans be (b)

Let $0.20 per pound beans be (p)

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

~Total amount of pounds:

b + p = 120

~Total cost

b + p = 120 × 0.54

b + p = 64.8

~Expression

0.68b + 0.20p = 64.8

~Multiply 10 to both sides

0.68b * 10 + 0.20p * 10 = 64.8 * 10

~Simplify

6.8b + 2p = 648

~Divide 2 to both sides

6.8b/2 + 2p/2 = 648/2

~Simplify

3.4b + p = 324

~Subtract

    3.4b + p = 324

-         b + p = 120

~Simplify

2.4b = 204

~Divide 2.4 to both sides

2.4b/2.4 = 204/2.4

~Value of b

b = 85

~New expression

85 + p = 120

~Subtract 85 to both sides

85 + p - 85 = 120 - 85

~Value of p

p = 35

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

[tex]\large\boxed{Of~the~0.68~dollars~per~pound~there~are~85~pounds!}\\\large\boxed{Of~the~0.20~dollars~per~pound~there~are~35~pounds!}[/tex]

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

My answer is reasonable because 85 + 35 equals 120 pounds.

~If we check

85 * 0.68 = 57.8

35 * 0.2 = 7

57.8 + 7 = 64.8

We get 64.8 which we can say it is correct because if we go back into our work we can see that we used the expression b + p = 64.8 which in this case by checking our work our answer is reasonable.

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

Hope This Helped! Good Luck!

Answer:

2.5(x-4.7)=10.3

Step-by-step explanation:

Answer:

[tex]\large\boxed{t^{-58}u^{-88}v^{-71}w^{-1}}[/tex]

Step-by-step explanation:

[tex]\dfrac{tuv^4w^0}{t^{59}u^{89}v^{75}w}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=t^{1-59}u^{1-89}v^{4-75}w^{0-1}=t^{-58}u^{-88}v^{-71}w^{-1}[/tex]

Answer:

Step-by-step explanation: the answer is

3,000,000,000,000,000

Answer:

3e+18

Step-by-step explanation:

Answer:

[tex]3.51%[/tex]

Step-by-step explanation:

To find percent of a number, what you have to do is as followed.

Multiply the percent by the number

[tex]5.4 * 65[/tex]

[tex]= 351[/tex]

Divide the answer by 100

3.51

Add percent symbol

3.51%

The value of 5.4% of 65 is 3.51.

This is the amount, number or rate of something, regarded as part of a total of 100. For instance,

20% of 100 equals 20

5% of 50 equals 2.5

So,

5.4% of 65

= 5.4/100 × 65

= 0.054 × 65

= 3.51

In conclusion, 5.4% of 65 equals 3.51

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