A store sells jump ropes. Each jump rope costs the same ammout. During a sale the store reduces the price of each jump rope by $1.80. gavin spends $14.38 on 2 jump ropes what was the price of the 1 jump rope before the sale

Answer:-4x + 6

Step-by-step explanation:

7 + x - 1 - 5x

6 - 4x

The answer is -4x +6

Answer:

14.14

Step-by-step explanation:

Recall :

The sides of a square are always equal ;

Since all sides are equal, the the diagonal of the square will be :

XZ² = XY² + WX²

XZ² = 20² + 20²

XZ² = 400 + 400

XZ² = 800

XZ = √800

XZ = 28.28

WY = XZ

WV = 1/2 WY

WV = 1/2 * 28.28

WV = 14.14

The greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

The GCF stands for greatest common factor. In this case, greatest can be changed to highest, and factor to divisor. The highest common factor is often referred to as the biggest common factor, highest common factor, or highest common divisor (GCD).

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.

the factor of 20q¹⁰ is 2*2*5*q*q*q*q*q*q*q*q*q*q

the factor of 10q⁹ is 2*5*q*q*q*q*q*q*q*q*q

the factor of 30q⁸ is 2*3*5*q*q*q*q*q*q*q*q

the factor of 20q⁷ is 2*2*5*q*q*q*q*q*q*q

So that the common factor of all the above terms is 2*5*q*q*q*q*q*q*q

the common factor of all the above terms= 10q⁷

So that the greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

To learn more about greatest common factors visit:

brainly.com/question/11221202

#SPJ1

Answer:

answer is 92

Step-by-step explanation:

iReady Math Test Diagnostic

Equation 4x222-12x+9=5 has a solution of x=  -√4-3.  It is said to be linear when an equation has the form y=mx+b .

In algebra, a linear equation is one with the form y=mx+b. B is the slope, and m is the y-intercept. Because y and x are variables, the previous sentence is frequently referred to as a "linear equation with two variables." Bivariate linear equations are those with two variables. There are various examples of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the formula y=mx+b, where m denotes the slope and b the y-intercept, it is referred to as being linear. It is said to be linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

4x²2²-12x+9=5

8x2 - 12x +4 = 0

8x2 - 6x - 6x +4 = 0

2x(4x - 3) - 2(3x +2) = 0

Equation 4x222-12x+9=5 has a solution of x=  -√4-3 . It is said to be linear when an equation has the form y=mx+b .

To know more about equation visit:

https://brainly.com/question/11897796

#SPJ1

To find first-order linear differential equations solution, we have to derive the general form or representation of the solution.

With the help of the steps shown below, we can learn how to solve the first-order differential equation.

1. Reorder the terms in the given equation so that they have the form \($\frac{dy}{dx}+Py=Q\) where P and Q are constants or functions of the independent variable x only.

2. Integrate P (obtained in step 1) with respect to x and then put this integral as a power of e to determine the integrating factor.

\($e^{\int P d x}\) = IF

3. The linear first-order differential equation's two sides should be multiplied by the IF.

4. The L.H.S of the equation is always a derivative of \($y \times M(x)$\) i.e. L.H.S \($= \frac{d(y \times I . F)}{dx}\)

\($d(y \times I . F) d x=Q \times I . F$\)

5. In order to arrive at the solution, we simply integrate both sides with respect to x in the last step.

Therefore \(y \times I . F=\int Q \times I . F d x+C$,\)

where C is some arbitrary constant

Similarly, we can also solve the other form of linear first-order differential equation \($\frac{dy}{dx}+Py=Q\) using the same steps.

P and Q are y's functions in this manner. We determine the solution, which will be, by using the integrating factor (I.F), which is

\($(x) \times(I . F)=\int Q \times I . F d y+c$\)

Now, to get a better insight into the linear differential equation, let us try solving some questions. where C is some arbitrary constant.

For more questions on differential equation

https://brainly.com/question/12423682

#SPJ4

The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

Learn more about Graphical method

brainly.com/question/29193266

#SPJ11

Answer:

d. if mike did not do his homework, then he will not pass this test

Answer:

x=5/3

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+4x=10

Step 1: Simplify both sides of the equation.

2x+4x=10

(2x+4x)=10(Combine Like Terms)

6x=10

6x=10

Step 2: Divide both sides by 6.

6x /6 = 10 /6

x= 5 /3

Answer:

5/3 or 1.6 repeated

Step-by-step explanation:

Hope this helps :-)

Answer:

89 m²

Step-by-step explanation:

Area of rectangle = 8 x 13 = 104

Area of triangle = (5 x 6) / 2 = 15

104 - 15 = 89 m²

Answer:

7

Step-by-step explanation:

Add 1 to six and u get seven.

A measurement of how many tasks a computer can accomplish in a certain amount of time is called throughput.

Throughput is a measure of the amount of data or information that can be transmitted through a communication channel or processed by a system in a given period of time. It is usually expressed in bits per second (bps), bytes per second (Bps), or packets per second (pps).

In computing, throughput refers to the rate at which data can be transferred between the CPU, memory, and other components of a computer system. It can also refer to the amount of work a computer system can perform within a given period of time, such as the number of tasks completed per second.

Throughput is an important performance metric in many applications, especially those involving data transfer or real-time processing. A higher throughput generally indicates a more efficient and capable system, while a lower throughput may indicate a bottleneck or performance limitation. Throughput is a measure of the amount of work a computer system can do in a given period of time, typically measured in tasks completed per unit time. It is an important performance metric for computer systems, especially in scenarios where high volume or time-sensitive tasks are being performed

learn more about throughput,

https://brainly.com/question/31600785

#SPJ11

Answer:

7 1/2 mph

Step-by-step explanation:

2 1/2=1/3 hour

5 = 2/3 hour

7 1/2 = 1 hour

The trend projection for time period 18 is 197.6. The correct option is B

A mathematical equation used to represent the trend or pattern seen in a time series of data is called a linear trend expression, sometimes referred to as a linear trend model.

To find the trend projection for time period 18 using the given linear trend expression, we substitute t = 18 into the equation:

Yt = 129.2 + 3.8t

Y18 = 129.2 + 3.8 * 18

Y18 = 129.2 + 68.4

Y18 = 197.6

Therefore, the trend projection for time period 18 is 197.6.

Learn more about linear trend expression here : brainly.com/question/30471421

#SPJ1

Answer:

M x 1/3 + 2. The variable is Marcella's age. If Marcella is 63, one third of her age is 21 so 21+2 = Justin is 23. Aimee is 23x2-4 so she is 62 years old.

Step-by-step explanation:

Answer:

122.5 minutes

Step-by-step explanation:

21 hotdigs in 6 min

1 hotdog 3.5 minutes

therefore 35 hotdogs = 122.5 minutes

=============================================

Explanation:

Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.

Since base angle C is 35 degrees, that makes base angle T this measure as well.

-----------

We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.

Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.

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

Recall that for any quadrilateral, the interior angles always add to 360

let x be the measure of angle O, aka angle QOT

P+T+O+Q = 360

60+145+x+90 = 360

x+295 = 360

x = 360-295

x = 65

Therefore, angle QOT is 65 degrees

109.8 grams of H₂O must be evaporated from the initial solution to form a saturated solution of KNO₂ in water at 20°C.

A solution is made from 49.3 g KNO₃ and 178 g H₂O.

A solution made from 49.3 g of KNO₃ and 178 g of H₂O is provided.

First and foremost, determine how much KNO3 will dissolve in 178 g of H₂O at 20°C.

The solubility of KNO₃ at 20°C is 31 g per 100 g of H₂O.

Since we have 178 g of water, we can calculate how much KNO₃ will dissolve in that much water as follows:

178g H₂O × (31 g KNO3/100 g H₂O) = 55.18 g KNO₃

Next,

use this information to figure out how much KNO₃ is required to form a saturated solution with 178 g of water.

Since we already have 49.3 g of KNO₃ in the solution,

we must add:

55.18 g KNO₃ - 49.3 g KNO₃ = 5.88 g KNO₃

So, 5.88 g of KNO₃ is added to 178 g of water to form a saturated solution at 20°C.

To obtain this saturated solution, we need to evaporate some water out of the original solution.

The mass of water we need to evaporate can be calculated as follows:

Mass of H₂O that must evaporate = Mass of initial H₂O - Mass of H₂O in saturated solution

Mass of H₂O that must evaporate = 178 g - (55.18 g KNO₃ / 31 g KNO₃/100 g H₂O × 100 g H₂O)

= 109.8 g H₂O

Therefore, 109.8 grams of H₂O must be evaporated from the initial solution to form a saturated solution of KNO₃ in water at 20°C.

To know more about saturated solution, visit:

https://brainly.com/question/1851822

#SPJ11

Answer: 1701

Step-by-step explanation:

It’s the simple math

243

    7=

1701

The factor is (w-2)(w-12) and the solution of the expression is  w =2 or 12

Given: 2wto power of 2 minus 16w=12w-48.

This expression can be written as 2w² - 16w = 12w-48

2w² - 16w = 12w-48

2w² - 16w-12w = -48

2w² - 28w + 48 = 0

Divide through by 2:

w² - 14w +  24 = 0

w² - 12w-2w +  24 = 0

Factorize:

(w-2)(w-12) = 0

w-2 = 0 or w-12 = 0

w =2 or 12

Therefore, the solution of 2w² - 16w = 12w-48 is w =2 or 12

Learn more about factorization on:

https://brainly.com/question/11434122

#SPJ1

Answer:56.556cm^2

Step-by-step explanation:
okay so you need to find out the area of the bigger circle (the 20cm one)

the area of finding a semi circle is (πxR^2)/2

so we do 3.142x10^2 and then divide it by 2 to get 157.1cm^2

then we do this for another semi circle so we do 3.142x8^2 and divide it by 2 to get 100.544cm^2

so then to finish it off we do 157.1-100.544 to get 56.556cm^2

The price of the guitar after expansion will be $72. The correct option is H.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that The price of guitars from Universal Guitar Company increased by 80% when the business expanded. If a guitar cost $40 before the expansion.

The price after expansion will be calculated as:-

Price = 40 x 1.8

Price = $72

Hence, the price after expansion will be $72.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

We need to find the derivative which is the rate of change

So, when x is infinite, the function g(x) has the greatest rate of change

Answer:

\((x+8)^{2}\) =77

x= -8 +/- \(\sqrt\\ 77\)

From Khan Academy

The most appropriate technique for the researcher to make this prediction would be multiple regression analysis, which would allow her to examine the relationship between the two predictor variables (high school grade-point averages and SAT scores) and the outcome variable (first semester college grade-point averages) while controlling for their effects on each other. This technique would help the researcher to determine the most accurate way to combine these two predictors in order to make the most accurate prediction possible.

A researcher aiming to predict first semester college grade-point averages (GPAs) using high school GPAs and SAT scores as predictor variables should use the Multiple Linear Regression technique. This technique allows the researcher to analyze the relationship between multiple predictor variables (high school GPAs and SAT scores) and a single continuous outcome variable (college GPAs), which can lead to more accurate predictions.

Learn more about multiple regression analysis here: brainly.com/question/30011167

#SPJ11

Answer: -9 degrees Fahrenheit

Step-by-step explanation:

Given: Temperature at 6:00 AM = -12 degrees Fahrenheit

Temperature increased each hour = \(\dfrac12\) degrees Fahrenheit

Temperature increase in 6 hours = \(6\times\dfrac12=3\text{ degrees Fahrenheit}\)

Temperature at noon = Temperature at 6:00 AM+Temperature increase in 6 hours

= -12+3 degrees Fahrenheit

= -9 degrees Fahrenheit

Hence, the temperature in degrees Fahrenheit at noon= -9 degrees Fahrenheit

For this case we can do the following operation:

We can put together 2 and 0.7 using the distributive property and we got:

And finally we got:

And the best answer would be the first one.

Answer:

y=0.25x+35

Step-by-step explanation:

if the truck doesn't have to travel at all, it costs $35 for the loading fee, so the y-intercept is (0, 35). As x increases by 1, y increases by 0.25, so the slope is 0.25. Therefore, the equation is y=0.25x+35

Answer:

y = .25 x + 35

Step-by-step explanation:

Total cost = cost per mile * number of miles * flat fee

y be the cost in dollars

x = miles

y = .25 x + 35

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

The value of b = -3/2 and c = -5/4

To write the quadratic x² - 3x + 1 in the form (x + b)² + c, we can expand (x + b)² and compare it to the given expression:

(x + b)² = x² + 2bx + b²

Comparing this to the given expression x² - 3x + 1, we see that we need:

2bx = -3x, so b = -3/2

b² + c = 1, so substituting b = -3/2 gives:

(9/4) + c = 1

so c = 1 - 9/4

= 4/4 - 9/4

= -5/4

The quadratic x² - 3x + 1 can be written in the form (x - 3/2)² + ( - 5/4).

Therefore, the value of b = -3/2 and c = -5/4

Learn more about Quadratic Equation here

https://brainly.com/question/30098550

#SPJ4

Given question is incomplete, the complete question is below

the quadratic x²-3x + 1 can be written in the form (x +b)² + c, where b and c are constants. what is b, c?