Julio’s car can travel 300 miles on one 12-gallon tank of gas. Viet’s car uses gas as described by the equation m=13g
, where m is the miles traveled and g is the gallons of gas used. Which statement is true?

Answer:

She would have to pay $17.50 for 35 songs.

Step-by-step explanation:

We have the amount it costs per song (0.50), and we have the amount of songs that she wants to buy (35). If we multiply 35 the amount of songs by 0.50 the price per song, we will have a grand total of $17.50.

35 * 0.50 = 17.50

-Hope this helped

Answer:

Step-by-step explanation:

-2x+0.25>6.25

-2x>6

Swap the sign when you divide or multiply by a negative in an inequality.

x<-3

Option #1

Answer: it think 10

Step-by-step explanation:

and Get some sleep bro

Answer: 10

Step-by-step explanation:

5+5=10

The height of the pumpkin is 5.7 m.

The height of the pumpkin is calculated by applying the following formula.

y = -0.1x² + 4.9x

where;

y = 0.9x

Now, our new equation becomes;

0.9x = -0.1x² + 4.9x

re-arrange the equation, and solve for x

0.1x² = 4.9x - 0.9x

0.1x² = 4

x² = 4 / 0.1

x² = 40

x = √ ( 40 )

x = 6.32

The height of the pumpkin = 0.9x = 0.9 x 6.32 = 5.7 m

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Answer:

103,847

103,847.0

Step-by-step explanation:

Step 1: Multiply the two numbers: 573.06 x 184.25 = 106,157.45

Step 2: Round the answer to four significant figures: 106,200

The total cost of Troy’s order is $93.75 for ham, cheese, and turkey.

The price chart below shows the ingredients that Troy needs to buy. A pound of onions costs $0.79, a pound of tomatoes costs $0.93, a pound of cheese costs $1.85, a pound of ham costs $3.15, and a pound of turkey costs $3.40.

The question above asks about Troy, who has to order 12 pounds of turkey, 15 pounds of cheese, and 8 pounds of ham for his sandwich bar.

We need to sum up the total price as:

Ham: 8 pounds x $3.15 equals $25.2

Cheese: 15 pounds x $1.85 equals $27.75

Turkey: 12 pounds x $3.40 equals $40.8

The total of the prices is: $25.2 + $27.75 + $40.8 = $93.75

Thus, the right choice is A.

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To realign the handlebars to your bike, you would need to:

Bicycles' steering is controlled by a handlebar. As it is typically immediately mechanically connected to a pivoting front wheel via a stem that is then attached to the fork, it is the equivalent of a tiller for vehicles and watercraft.

The steps to fix your big Flyer bike has been given above.

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The equation of the line is y = (1/2)x - 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (0, -3) and (4, -1)

Now,

The equation of a line is y = mx + c

m = (-1 + 3) / (4 - 0)

m = 2/4

m = 1/2

Now,

(0, -3) = (x, y)

y = mx + c

-3 = (1/2) x 0 + c

-3 = c

c = -3

Thus,

y = (1/2)x - 3 is the equation of the line.

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Answer:

I don’t even know

Step-by-step explanation:

Answer:

a. 250+0.10x=y

b. 250+0.10x=260

-250. -250

———————————-

0 + 0.10x = 10

——— ——-

0.10 0.10

—————————————-

X = 100

( you drove 100 miles )

Step-by-step explanation:

In question A, basically you already have a base of 250 and you add 0.10, multiplying it with x, which is the number of miles, equals to the total amount. So the answer for that question is : 250+0.10x = y. For question B, you just had to substitute the y for 260, and solve for x ( subtract 250 from both sides, divide by 0.10 on both sides, and you get x = 100. So the answer for that question is you drove 100 miles.
hope this helped =)

The cost of renting a car can be formulated as y = 250 + 0.10x, with y representing the total cost and x the distance travelled. If the total cost was $260, then 100 miles were driven.

The car rental agency's charge can be represented as a linear equation with a fixed cost ($250/week) plus a variable cost ($0.10/mile). This can be represented algebraically as: y = 250 + 0.10x, where y is the total weekly cost and x signifies the number of miles driven.

To find out how many miles (x) were driven for a total cost of $260, substitute y with 260 in the equation and solve for x:

Therefore, if the weekly cost to rent the car was $260, you drove 100 miles.

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Answer:

40 grams

Step-by-step explanation:

........................

Answer: 0.10x grams

Step-by-step explanation:

Inverse of function f(x) is f⁻¹(x) = x³/125 - 7

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f⁻¹ or F⁻¹.

Given function,

f(x) =  5∛(x + 7)

f⁻¹(x) = 5∛(f(x) + 7)

Cubing both sides

x³ = 5³(f(x) + 7)

x³ = 125 (f(x) + 7)

f(x) + 7 = x³/125

f(x) = x³/125 - 7

Hence,  f⁻¹(x) = x³/125 - 7 is inverse of function f(x).

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The value of 'n' satisfies the inequality 2n + 7 > 13 is  [4, ∞).

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The given inequality is 2n + 7 > 13.

Assuming n ∈ I.

Therefore, The values of 'n' that satisfies the giver inequality is,

At, n = 3, 2n + 7 = 13.

So, The values of 'n that satisfies the inequality is [4, ∞).

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Answer: The real answer is 15,488 over 7 square centimeters.

Step-by-step explanation:

For this question, you need to use the formula for surface area of a cylinder: SA = 2πr^2 + 2πrh

Since the label DOES NOT cover the bases, you do not need to do the first part of the formula (2πr^2) because that part is finding the area of the bases. We are only looking for how many square centimeters the label IS covering.

2πrh

So times the radius by 2.

22 * 2 = 44

Now times 44 by the height

44 * 16 = 704

And finally, times 704 by 22/7

22/7 * 704 = 15,488 over 7 square centimeters

So 15,488 over 7 square centimeters is the answer.

You might get it in decimal form (something like this number 2,212.5714285) but if you divide 15,488 by 7 you will get the same decimal.

Also, I did the same test and got 100% so I know the right answer

I have a photo of the question from my test:

Have a good day :)

The path's of the two persons don't cross as their lines don't intersect and thus they never cross routes.

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: Ramon's path passes through the co-ordinates  (2,1)

and (0,−2) while Malika's passes through  (0,3)

and (−2,0)

Thus using the two point of a line to construct the linear equations we get

Ramona's path is y=1.5x−2

Malika's path is y=1.5x+3

Now solving for the two equations we get

1.5x-2=1.5x+3

-2=3 which is not  possible

Hence, The path's of the two persons don't cross as their lines don't intersect and thus they never cross routes.

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Answer: IT IS EZ IT JS 67 AND 194

Step-by-step explanation

Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

Part A. The cost of b books at $12 each can be found with the expression: 12 * b

Part B. The total cost to pay a babysitter who charges $10 per hour and $5 in gas can be found with the expression: 10 * h + 5

Step-by-step explanation:

n + (n+1) + (n+2) = 417

3n + 3 = 417

3n = 414

n = 138

so, the 3 integers are

138, 139, 140

Answer:

138

Step-by-step explanation:

n,n+1,n+2

so 3n+3=417

3n=414

n=138

Answer:

The expression equivalent to

−

2

√

√

+

7

√

−2w+w+7w is 7√ - 2w.

There is evidence of a positive association between liking rock and liking rap as this can be seen from the fact that a larger proportion of students who like rock also like rap.

When the values of two variables tend to rise together, this is referred to as a positive association between the two variables. When the values of one variable tend to fall as the values of the other variable rise, there is a negative relationship between the two variables.

There is proof that liking rap and liking rock are positively correlated. The fact that more pupils who enjoy rock also like rap (27 out of 33, or 81.8%) than those who don't like rock (17 out of 21, or 80.9%) demonstrates this.

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54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap

likes rap doesn't like rap

likes rock 27 6

doesn't like rock 4 17

The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.

Arithmetic succession or arithmetic sequential is a numerical series in which the difference between subsequent terms is uniform.

Let's check all the options, then we have

A.  {-6, 1, 8, 15, 22,...}, then the common difference is given as,

d = 1 - (-6) = 8 - 1 =

d = 7 =  7

B.  {64, 32, 16, 8, 4,...}, then the common difference is given as,

d = 32 - 64 = 16 - 32
d = -32 ≠ - 16

C.  {1, 2, 4, 8, 16,...}, then the common difference is given as,

d = 1 - 2 = 2 - 4

d = - 1 ≠ - 2

D.  {1, 3, 6, 10, 15,...}, then the common difference is given as,

d = 1 - 3 = 3 - 6

d = - 2 ≠ - 3

The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.

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The snowfall change is plotted on the graph attached with the answer below.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that Peter recorded the snowfall each winter in New York for the last 4 years. He predicts that the snowfall change from year 4 to year 5 will be twice as much as the change was from year 3 to year 4.

Let the snowfall in years 3 to 4 is (2,0) so it will be in year 4 to 5 will be (4,0). Plot the two points on the graph. The graph is attached with the answer below for better understanding.

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a) On compounding the amount of money in account after 35 years will be $356796.54.

b) $84000 is the total money that will be put into the account.

c) The total interest earned is obtained as $272796.54.

What is Compound Interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

a)  Figure out the period interest rate, i.

Use the formula: i=r/m, where r is the nominal interest rate and m is the number of compounding periods.

If the bank pays 7% compounded monthly, that means that the nominal annual interest rate is 7.0% and the monthly period interest rate is 7/12 = 0.58%.

The principal amount A = $200

The number of times interest applied per time period n = 35 × 12 = 420

Now, use the uniform series compound-amount factor to find the future value.

The equation is -

F = A [((1 + i)^n) - 1] / i

where F is the future value, A is the annuity amount, i is the period interest rate.

Substitute the values into the equation -

F = 200 [((1 + 0.0058)^420) - 1] / 0.0058

F = 200 [((1.0058)^420) - 1] / 0.0058

F = 200 (11.3471 - 1) / 0.0058

F = 200 (10.3471) / 0.0058

F = 200 × 1783.9827

F = 356796.54

Therefore, the amount will be $356796.54 after 35 years.

b) The total money put in the account will be -

Total amount = The principal amount × The number of times interest applied per time period

Total amount = A × n

Substitute the values into the equation -

Total amount = 200 × 420

Total amount = 84000

Therefore, the total amount is $84000.

c) The total interest earned will be -

Total Interest = The future amount - The total money put in the account

Total Interest = F - The total money put in the account

Substitute the values into the equation -

Total Interest = 356796.54 - 84000

Total Interest = 272796.54

Therefore, the total interest is $272796.54.

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The measure of x use Pythagorean Theorem

1. x= 15

Th Pythagorean theorem only applies to right triangles. This is the same as explained in the Pythagorean Theorem Module which states that for each right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other side or the sides of the right angle.

Meanwhile, there is the opposite of the Pythagorean theorem which functions to determine the type of triangle if the lengths of the sides are known. The types of triangles include:

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Answer:

6 to right

Step-by-step explanation:

The value of y when x equals 0 on f(x) is 1. By looking at the graph of g(x), it looks like it reaches the value of y = 1 when x is 6. It also This means the same point is shifted over 6 to the right (considering it looks like no other modifications are made other than the shift).

Answer:

1.9 percent

Step-by-step explanation:

95 boys + 64 girls = 159 total honor roll students

To quickly find percentages of numbers, think of the current number as 100%, or 1.00. Then, go from there to find the number to multiply to get the percentage you need.

For example, a 25% decrease in the number of girls means the new number will be 75% of the old number, so we multiply the number of girls by 0.75 to get the new number of girls. 64*0.75 = 48.

Same with the boys, 95 boys is 100%, but this year the number increased by 20%, so we need to find 120% of the number, so we multiply it by 1.20. 95*1.20 = 114

To answer this question, we need to know by what percent the total number of honor students increased by, so we need to know the new total number. 48+114 = 162

To find out what percent 162 is out of 159, we divide them. 162 / 159 = 1.0188, or 101.9 percent if you round to the nearest tenth. So, the number of students increased by 1.9%.

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if the supply cost of each electric bicycle is £950, and the company decides to set the price less than £1300, then we can repeat the above process to find the optimal price and profit.

It can be seen that the sale volume has changed according to its price in different periods. The values have been reported in the following table. This company is going to launch a new product and the price needs to be decided based on the market analysis. Determine the appropriate price for the newly developed electric bicycle with the aim of maximizing the company’s profit. The demand for new products has a direct relationship with its price.

Table 1- Demands of an electric bicycle based on a price level according to previous experiences

Price (£)  Demand

1150  415

1185  405

1210  390

1235  380

1260  345

1285  302

1310  270

1335  255

1360  246

1385  240

1410  230

1435  222

1460  216

1485  214

1510  210

1540  200

The main objective of the company is to maximize profit regarding to the new product. It is assumed that the unit production and supply cost of each electric bicycle is £740, so the profit of each unit will be (the sale price – unit production cost).

Determine the optimal demand

Compute the optimal profit.

Interpret the results.

If the supply cost of each electric Bicycle is £250 and then £950 determine the optimal price and interpret the results appropriately.

Suppose that the supply cost is £950 and the company has decided to set the price less than £1300, then what will be the optimal price? Interpret the results

To find the optimal price, we need to find the price that maximizes the company's profit. Profit is calculated as (sale price - unit production cost), and we have been given the unit production cost as £740. So, the profit function can be written as:

Profit = (sale price - £740) * demand

Using the data in the table, we can plot the demand as a function of price and then calculate the profit for each price level:

Price (£) Demand Profit (£)

1150 415 121,750

1185 405 133,650

1210 390 141,600

1235 380 146,200

1260 345 140,100

1285 302 113,640

1310 270 75,600

1335 255 67,170

1360 246 66,480

1385 240 66,600

1410 230 63,700

1435 222 62,820

1460 216 62,160

1485 214 62,370

1510 210 61,500

1540 200 59,200

From the table, we can see that the maximum profit is obtained at a price of £1210, which gives a profit of £141,600. The optimal demand at this price is 390 units.

Interpretation: The company can maximize its profit by setting the price of the electric bicycle at £1210, and the optimal demand at this price is 390 units. The company can earn a profit of £141,600 if it sells 390 electric bicycles at this price.

If the supply cost of each electric bicycle is £250, then the profit function becomes:

Profit = (sale price - £250 - £740) * demand

Profit = (sale price - £990) * demand

Using the same method as before, we can calculate the profit for each price level:

Price (£) Demand Profit (£)

1150 415 157,450

1185 405 169,950

1210 390 177,300

1235 380 181,300

1260 345 174,150

1285 302 146,890

1310 270 110,250

1335 255 96,525

1360 246 95,040

1385 240 95,400

1410 230 92,400

1435 222 91,512

1460 216 90,720

1485 214 91,422

1510 210 89,100

1540 200 85,600

The maximum profit is obtained at a price of £1210, which gives a profit of £177,300. The optimal demand at this price is 390 units.

Interpretation: If the supply cost of each electric bicycle is reduced to £250, then the optimal price remains the same as before at £1210. However, the maximum profit increases to £177,300, which is an increase of £35,700 compared to the previous scenario.

If the supply cost of each electric bicycle is £950, and the company decides to set the price less than £1300, then we can repeat the above process to find the optimal price and profit.

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Answer: x=12

Step-by-step explanation:

[tex]5(x+6)=8x-6[/tex]

On the left side of the equation, open the parentheses:

[tex]5x+30=8x-6\\\\5x+30-5x=8x-6-5x\\\\30=3x-6\\\\30+6=3x-6+6\\\\36=3x[/tex]

Divide both parts of the equation by 3:

[tex]12=x[/tex]

[tex]Thus,\ x=12[/tex]

Answer:

Step-by-step explanation:

es, if the original biconditional statement is true, then its contrapositive is also true.

Example: "If it rains, the grass is wet."

The contrapositive of this statement would be "If the grass is not wet, then it didn't rain."

Both the original statement and its contrapositive have the same truth value, as they are logically equivalent.