write the equation for the given graphs. How do we find the "a" value?

The value of x that makes the equation 3(2x - 5 + 8x) = 5(2x + 5) true is 2

We shall evaluate for the value of x to know what makes the algebraic equation true as follows;

3(2x - 5 + 8x) = 5(2x + 5)

3(10x - 5) = 5(2x + 5)

30x - 15 = 10x + 25 {expand bracket}

30x - 10x = 25 + 15 {collect like terms}

20x = 40

x = 40/20 {divide through by 20}

x = 2

Therefore, the value of x that makes the equation 3(2x - 5 + 8x) = 5(2x + 5) true is 2.

Know more about equation here:https://brainly.com/question/2972832

#SPJ1

Each wand costs $83, found by dividing the total cost of $498 by the total number of items, 6 (4 cloaks and 2 wands), resulting in $498 / 6 = $83.

To solve for the cost of each wand, we first need to determine the cost of each item (cloak and wand) that Harry bought. We can represent the cost of each item as "x". Since Harry bought 4 cloaks, the total cost of the cloaks is 4 * x. Similarly, since he bought 2 wands, the total cost of the wands is 2 * x.

The total cost of the cloaks and wands that Harry bought was $498, so we can write the equation: 4 * x + 2 * x = $498. This equation represents the total cost of the 4 cloaks plus the 2 wands, which must equal $498.

Next, we can simplify the equation by combining like terms: 4 * x + 2 * x = 6 * x = $498.

Finally, we can find the cost of each item by dividing both sides of the equation by 6: x = $498 / 6 = $83.

Therefore, each wand costs $83.

Learn more about equation here:

https://brainly.com/question/29174899

#SPJ4

0.3 as a fraction would be 3/10

33.3 would be 333/10

To check it so 3 ÷ 10 and 333 ÷ 10

It will give you the decimal again.

You're welcome.

Answer: the answer is 33.3 is 33 3/10  and 0.3 is 3/10

Step-by-step explanation:

you welcome (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

The total number of new cars made by a factory from 1,254 tires as each car required four tires is equal to 314 ( round off to nearest whole number ).

Total number of tires in the factory is equal to 1,254

Number of tires required by each new car is equal to 4 tires.

The total number of new car made by a factory is equal to :

4 tires = 1 new car

⇒ 1 tire = ( 1 / 4 ) new car

⇒ 1,254 tires = 1,254 ×  ( 1 / 4 ) new car

⇒ 1,254 tires = ( 1,254 / 4 ) new cars

⇒ 1,254 tires =  313.5 new cars

But number of new cars cannot be in the decimals or fraction.

Round off to the nearest whole number .

⇒ 1,254 tires =  314 new cars ( nearest whole number )

Therefore the total number of new cars made by a factory is equal to 314 new cars.

Learn more about cars here

brainly.com/question/11733094

#SPJ4

Answer:

$2.12

Step-by-step explanation:

First, let's find the area of Jennifer's envelope: 20 cm x 12 cm = 240 square cm.

Since the area needs to be rounded up to the next multiple of 50 square cm, we will round up 240 square cm to 250 square cm.

Next, let's round up the weight of the letter to the next multiple of 40 grams: 125 grams rounded up to 140 grams.

Now that we have the rounded up values for both weight and area, we can use the formula to find the postage charge:

20 cents per 50 square cm x (250 square cm ÷ 50) = 100 cents

32 cents per 40 grams x (140 grams ÷ 40) = 112 cents

So the total postage charge will be 100 cents + 112 cents = 212 cents = $2.12.

Therefore, the postage charge for Jennifer's letter will be $2.12.

Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ

Answer:

the smallest number is 1079

Step-by-step explanation:

Let the numbers be x and y

It will take approximately 12.96 minutes for the oven to reach a temperature of at least 375 degrees.

What is Approximation?
Approximation is the act of estimating or finding a value that is close to the true or exact value, but not necessarily identical to it. In other words, an approximation is a rough calculation or an educated guess that is used when the exact value is not known or is too difficult to calculate. Approximations are commonly used in mathematics, science, engineering, and many other fields where exact values are often difficult to obtain or not required. The level of accuracy of an approximation depends on the method used and the degree of precision needed for the particular situation.

Let's use the information given to find the rate of temperature increase per minute.

Between the first two data points, the temperature increased by 3 degrees in 1 minute. Between the next two data points, the temperature increased by (112.5 - 3) = 109.5 degrees in (5 - 1) = 4 minutes. So the rate of temperature increase is (109.5/4) = 27.375 degrees per minute.

To find out how long it will take the oven to reach 375 degrees, we can use the formula:

time = (final temperature - initial temperature) / rate of temperature increase

In this case, the initial temperature is 3 degrees and the final temperature is 375 degrees. Substituting these values and the rate of temperature increase we calculated earlier, we get:

time = (375 - 3) / 27.375 = 12.96 minutes (rounded to two decimal places)

So it will take approximately 12.96 minutes for the oven to reach a temperature of at least 375 degrees.

Learn more about temperature  click here:

https://brainly.com/question/26141817

#SPJ1

The sine of Z is 0.834.

Assume that "α" is the angle in a right triangle XYZ. The sine formula is then given as Sin = Opposite side/ Hypotenuse.

Using the Pythagorean theorem, we can find the length of side Y:

Y² = X² + Z²

Y² = 7² + ( √(21) )²

Y² = 49 + 21

Y² = 70

Y = √(70)

Now we can use the definition of sine:

sin(Z) = opposite/hypotenuse

sin(Z) = X / Y

sin(Z) = 7 / √(70)

sin(Z) = (7 / 10) √(70)

So the sine of Z is (7 / 10) √(70), or approximately 0.834.

Learn more on sine here: https://brainly.com/question/27174058

#SPJ1

Answer:

6x^2 + 17x + 12

Step-by-step explanation:

(3x + 4)(2x + 3) - Distribute

6x^2 + 9x + 8x + 12

6x^2 + 17x + 12

The average rate of change is 2.The rate of change of the function is its gradient or slope.

To get the average rate of change, divide the change in y-values by the change in x-values.Knowing the average rate of change is necessary to detect changes in observable metrics like average speed or average velocity.

It displays the typical rate of change of the function for each unit during that time. It is determined using the slope of the line connecting the ends of the interval in the function graph.

To know more about average visit;

https://brainly.com/question/13439165

#SPJ1

Answer:

B. x=3

Step-by-step explanation:

3x+4y=12

9x-4y=24

Add 9x and 3x

Subtract -4y from 4y which will cancel out

Add 12 and 24

12x=36

divide both sides by 12

x=3

The profit made on the transaction by the dealer was Rs. 7,750.

To calculate the profit made by the second hand car dealer, you can subtract the cost of buying the car and the transaction costs from the selling price.

Profit = Selling Price - Cost of Car - Transaction Costs

Profit = 93,000 - 85,000 - 250

Profit = 7,750

So the dealer made a profit of Rs. 7,750 on the transaction.

Profit and Loss (P&L) is a statement that summarizes a company's revenues and expenses over a specific period of time, typically a quarter or a year. The purpose of a P&L statement is to show a company's ability to generate revenue, as well as the cost of doing so. The difference between a company's total revenue and total expenses is referred to as net profit or net loss

Learn more about profit and loss here brainly.com/question/13934673

#SPJ4

No, if the figures on the left side of the area model were changed to 20, 10, and 5, the product would retain the same.

Area model multiplication is what?

The area model approach is based on the straightforward equation that may be used to calculate the area of a rectangle: LxW=A. As this anchor chart from Primary Punch illustrates, students typically begin by learning basic arrays for one-digit multiplication. When we multiply each digit of one number by each digit of another number while maintaining the place value of each digit, the resulting numbers are called partial products.

According to the supplied query,

30 and 5 on the left side of the area model are altered to 20,10, and 5 

Thus, after multiplying partial products, we obtain:

First row = 20×100+20×20+8×20

               = 2000+400+160 = 2560

Second row = 10×100+10×20+10×8

                     = 1000+200+80 = 1280

Third row = 5×100+5×20+5×8

                = 500+100+40 = 640

Adding all the rows we get,

2560+1280+640 = 4480

The item we receive when the dimensions are 30 and 5 is the same as this. In each instance, the area product stays the same.

To know more about area model multiplication visit:

https://brainly.com/question/13895622

#SPJ1

The length of the original piece of fabric, given the proportion cut by Yu Yan and the amount cut in total, is 75 .75 inches

Assume that the original length of fabric was denoted as x, this means that the first cutting by Yu Yan took out :

= 1 / 3 x

The equation would then be :

x - 1 / 3 x - 10 - 5 = 35 + 1 / 2

x - 1 / 3 x - 10 - 5 = 35 . 5

The length of the original fabric is:

2 / 3x  = 35. 5 + 10 + 5

x = 50. 5 ÷ 2 / 3

x = 50. 5 x 3 / 2

x = 75 .75 inches

Find out more on fabrics at https://brainly.com/question/13705312

#SPJ1

Answer:

Step-by-step explanation:

is this in deltamath or bigideas? lol

(31.19-1.67)/24=x

"/" means divide.

The area of the trapezoid KELP is approximately 2285.47 square units.

What is a trapezoid?

A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.

The formula to find the area of a trapezoid is -

A = (1/2) × h × (b1 + b2)

where -

A is the area of the trapezoid.

h is the height of the trapezoid.

b1 and b2 are the lengths of the parallel bases of the trapezoid.

Using the given values, we can substitute them into the formula and solve for the area -

A = (1/2) × h × (b1 + b2)

A = (1/2) × 52.6 × (47.8 + 39.1)

A = 2285.47

Therefore, the area value is 2285.47 square units.

To learn more about trapezoid from the given link

https://brainly.com/question/1410008

#SPJ1

Tyler drove 138miles, and brittney drove 116miles, the ratio of tyler's miles to brittney's miles is 69/58.

The ratio of Tyler's miles to Brittney's miles can be found by dividing Tyler's miles by Brittney's miles.

Ratio of Tyler's miles to Brittney's miles = Tyler's miles / Brittney's miles

Ratio of Tyler's miles to Brittney's miles = 138 miles / 116 miles

Simplifying the ratio by dividing both numbers by their greatest common factor, which is 2, we get:

Hence,

Ratio of Tyler's miles to Brittney's miles = 69/58

This means that for every 69 miles Tyler drove, Brittney drove 58 miles.

Learn more about ratio proportion here brainly.com/question/29774220

#SPJ4

The amount of money Jamar will make in his 18th year working at this job is = $107,500

A salary is a form of periodic payment from an employer to an employee, which may be specified in an employment contract. It is contrasted with piece wages, where each job, hour or other unit is paid separately, rather than on a periodic basis.

here, we have,

Calculation of yearly salary outcome

The amount of money Jamar made in his first year= $48,000

The salary rise per year = $3,500

The amount of money he will make for the extra 17 years is

= 17 × $3,500

= $59,500

Therefore the amount he will receive as his salary in the 18th year working at this job = $48,000 + $59,500

= $107,500

Learn more about salary outcome here:

brainly.com/question/24855677

#SPJ1

A type 1 hypervisor functions as a compact operating system and runs directly on the host's hardware, but a type 2 hypervisor operates as a software layer on operating system, similar to other computer programs.

Which is the safer hypervisor, type 1 or type 2, and why that is more superior?

Native hypervisors are a safer solution. They are not dependent on the underlying OS, unlike hosted hypervisors. If you are attacked, the bare-metal hypervisor will improve your chances (Type 1). Because of this reliance, the type 2 server loses efficiency, performance, and speed. A Type 1 hypervisor operates directly on the hardware of the host computer. These hypervisors interface directly with the host computer's CPU, RAM, and physical storage, making them typically quicker and more effective than Type 2 hypervisors. eliminate the requirement to travel through the OS layer.

Learn more about hypervisors:

https://brainly.com/question/20892566

#SPJ4

Kim saved $9 by using the coupon.

How to find Original price?

The MSRP (i.e., Manufacturer's Suggested Retail Price) set the original price, which is the cost. In the majority of cases, the original price would have been less expensive than the current price, though this is not always the case. Finding an item's original price and knowing the price after a discount are both made possible by original price.

Original price = Sales price/(100%-Discount%)

To find out how much money Kim saved, we need to first find out how much the birdhouse cost after the coupon was applied.

The coupon took 25% off the original price, so the birdhouse cost 100% - 25% = 75% of its original price.

So, the new price of the birdhouse would be:

36 * 75% = $27

Kim saved 36 - 27 = $9 by using the coupon.

Therefore, Kim saved $9 using the coupon.

To know more about Original price visit,

https://brainly.com/question/25955440

#SPJ1

The probability for the sample space of a fair die rolled out {1, 2, 3, 4, 5, 6} with different conditions are :

a. Probability of getting 6 = 1/6

b. Probability of an even number on a die = 1/2

c. Probability of number more than 2 = 2/3.

Sample space is equal to {1, 2, 3, 4, 5, 6}

Number of times die rolled out = only once.

Total number of outcomes = 6

Probability = ( Number of favourable outcomes ) / ( Total outcomes )

Required probability in fraction form with lowest terms:

a. Probability of getting 6

Favourable outcomes ={ 6 }

Number of favourable outcomes = 1

Probability of getting 6  = 1 / 6

b. Probability of getting an even number

Favourable outcomes = { 2, 4, 6 }

Number of favourable outcomes = 3

Probability = 3 / 6

                  = 1 / 2

c. Probability of getting number greater than 2

Favourable outcomes = { 3, 4, 5, 6 }

Number of favourable outcomes = 4

Probability = 4 / 6

                  = 2 / 3

Therefore, the required probability as per the mentioned conditions are:

a. Probability of getting 6 = 1/6

b. Probability of even number = 1/2

c. Probability of number greater than 2 = 2/3.

Learn more about probability here

brainly.com/question/30034780

#SPJ4

The altitude of the airplane after 30 minutes of descending is 0 feet, which means the airplane has landed.

What is the altitude?

The height of an object or point in relation to sea level or ground level.

Part A:

To create a table for the given equation, we substitute the given values of x in the equation and calculate the corresponding values of y:

x y = -128x + 3,840

0 3,840

5 3,200

8 2,624

10 2,304

30 0

Part B:

To find the altitude after 5 minutes, we substitute x = 5 in the given equation:

y = -128(5) + 3,840

y = 3,200

So the altitude of the airplane after 5 minutes of descending is 3,200 feet.

To find the altitude after 30 minutes, we substitute x = 30 in the given equation:

y = -128(30) + 3,840

y = 0

The altitude of the airplane is decreasing as time (x) increases, as given by the negative slope (-128) of the equation.

At 5 minutes, the airplane has descended to an altitude of 3,200 feet, which is still relatively high.

At 30 minutes, the altitude has decreased to 0, which means the airplane has landed on the ground.

Hence, the altitude of the airplane after 30 minutes of descending is 0 feet, which means the airplane has landed.

To learn more about the altitude visit:

https://brainly.com/question/1159693

#SPJ1

The expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.

What is an expression?

In mathematics, an expression is a combination of one or more numbers, variables, and operations such as addition, subtraction, multiplication, division, exponentiation, and so on.

We can simplify the expression 1000m ÷ 100n as follows:

1000m ÷ 100n = (1000 ÷ 100) × (m ÷ n)

= 10 × (m ÷ n)

= 10m/n

To write this in the form of 10z, we need to find a value of z that makes 10z equal to 10m/n. Since 10z is equal to 10 times z, we can set 10 times z equal to 10m/n and solve for z as follows:

10z = 10m/n

Dividing both sides by 10, we get:

z = m/10n

Therefore, the expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.

To learn more about the expression, visit:

https://brainly.com/question/723406

#SPJ1

the probability that it will rain on the following day, given that it rained tomorrow, is 0.75. Rounded to three decimal places, the answer is 0.750.

Given the probabilities, you can use Bayes' theorem to calculate the probability that it will rain on the following day, given that it rained tomorrow. Bayes' theorem states that: P(A|B) = P(B|A) * P(A) / P(B)

Where: P(A|B) is the likelihood that event A will occur assuming event B has already happened. P(B|A) is the probability of event B given that event A has occurred. The prior probability of event A is P(A). The prior probability of event B is P(B).

In this case, let A be the event that it rains on the following day and B be the event that it rains tomorrow.

So, P(A|B) = P(B|A) * P(A) / P(B) = 0.9 * 0.3 / P(B)

To calculate P(B), you can use the total probability theorem:

P(B) = P(B|A) * P(A) + P(B|~A) * P(~A) = 0.9 * 0.3 + 0.08 * 0.7 = 0.327

Now, you can substitute the values into the formula for P(A|B) to get:

P(A|B) = 0.9 * 0.3 / 0.327 = 0.75

So, the probability that it will rain on the following day, given that it rained tomorrow, is 0.75. Rounded to three decimal places, the answer is 0.750.

To learn more about Bayes' theorem click here

brainly.com/question/17010130

#SPJ4

The value of the expression is the same as the second option: !a || (b & !c).

Boolean variables are variables that can have only one of two possible values: true or false. They are named after the 19th-century mathematician George Boole, who developed a system of logic based on binary values. In computer programming, boolean variables are commonly used to represent conditions or states that can be either true or false, such as whether a certain condition is met or whether a certain task has been completed.

The expression !(a & !(b & !c)) can be simplified using De Morgan's laws and distributive property to obtain:

!(a & !(b & !c)) = !a || (b & !c)

Therefore, the value of the expression is the same as the second option: !a || (b & !c).

Learn more on boolean variables here https://brainly.com/question/13527907

#SPJ1

a. The dependent variable for this study is the number of correct answers on the test given.

b. The dependent variable in this study is a discrete variable.

a. The dependent variable for this study is the number of correct answers on the test given to the students after they prepared for the test by either generating and answering questions or reading the passage a second time.

b. The dependent variable in this study is a discrete variable because the number of correct answers can only take on whole numbers (e.g., 0, 1, 2, 3, etc.). It is not possible to have fractional or continuous values of correct answers on the test.

For more such questions on Dependent variables: brainly.com/question/1479694

#SPJ4

The expression to represent the total volume of the two storage spaces is s³+12.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the edge of the large cube s feet and the volume of the small cube is 12 ft³.

We know that, the formula to find the cube is side³.

Volume of large cube = s×s×s

= s³

Total volume of the two storage spaces =s³+12

If edge of large cube is 4 feet long, then the volume is

4³ = 64 ft³

Therefore, the expression to represent the total volume of the two storage spaces is s³+12.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ9

Step-by-step explanation:

here, 4 days = 20 miles

so, 1 day = 5 miles

hence, x miles = 5x miles

The function operation (f-g)(x) in the functions f(x) = 2√3x and g(x) = -4√3x is 6√3x and  the value of (f-g)(12) is 36.

A function is simply a relationship that maps one input to one output.

Given that;

First, set up the function;

(f - g)(x) = f(x) - g(x)

Replace the function designators with the actual function.

(f - g)(x) = f(x) - g(x)

(f - g)(x) = 2√3x - (-4√3x)

(f - g)(x) = 2√3x + 4√3x

(f - g)(x) = 6√3x

Now, we evaluate when x = 12.

(f - g)(x) = 6√3x

Replace x with 12

(f - g)( 12 ) = 6√3(12)

(f - g)( 12 ) = 6√36

(f - g)( 12 ) = 6 × 6

(f - g)( 12 ) = 36

Therefore, the function operation (f-g)(x) is 6√3x and (f-g)(12) is 36.

Learn more about functions here: brainly.com/question/2541698

#SPJ1