Six gallons of gasoline cost $15.06. What is the price of gasoline per gallon

Answer:

Yes because you would need to divide first before subtracting

Step-by-step explanation:

Answer:

yes, because of PEMDAS

divison always comes before subtraction

Answer:

8.45

Step-by-step explanation:

You add the ones place together:

1 + 6 = 7

You add the tenths place together:

0.5 + 0.8 = 1.3

You add the hundredths place together:

0.07 + 0.08 = 0.15

Then you combine them all together to get 8.45

Given that Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store. Tyson will purchase a belt that costs $8 and x number of shirts that cost $15 each. The mo appropriate domain of the function is C. 0 < x < 2 where x is an integer.

The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. The cost of each shirt is $15.The cost of a belt is $8.The total amount Tyson can spend is $50.

(i) If he buys only one shirt, the cost will be $15 + $8 = $23 and the balance on the gift card will be:$50 - $23 = $27(ii) If he buys two shirts, the cost will be $15 × 2 + $8 = $38 and the balance on the gift card will be:

$50 - $38 = $12

(iii) If he buys three shirts, the cost will be $15 × 3 + $8 = $53 and Tyson cannot purchase all three shirts because he only has $50. Thus, Tyson can buy at most 2 shirts. The domain of the function f(x) = 42 - 15x is such that the total cost of x shirts plus the cost of the belt is less than or equal to $50. Therefore:

15x + 8 ≤ 50

Subtracting 8 from both sides gives:

15x ≤ 42 Dividing both sides by 15 gives: x ≤ 42/15

The largest integer less than or equal to 42/15 is 2, thus the appropriate domain of the function is 0 ≤ x ≤ 2 where x is an integer.

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The value of the angle 4 is 96 degrees as shown in the diagram.

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.

From the given diagram, the measure of angle 1 and 3 are equal as well as 2 and 4.

Given the following angles

m<3 = 84 degrees

Since the measure of <3 and <4 lies on the same straight line, hence:

m<3 + m<4 = 180

84 + m<4 = 180

m<4 = 180 - 84

m<4 = 96 degrees

Hence the measure of angle 4 from the figure is 96 degrees

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Answer:

20.84

Step-by-step explanation:

$25.36 - $4.52 = $20.84

Hope this helps

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

The solutions are:

In which:

\(\Delta = b^2 - 4ac\)

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

He needs to charge $30 for a profit of $600.

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Answer: D. 12m

Step-by-step explanation:

They are both like terms so they can be added

Answer:

The answer is: x < 2.4

Step-by-step explanation:

5x < 12

If we divide both sides by 5, we get an equation like this:

x < 12/5

Then we can convert that fraction to a decimal and we get this!

x < 2.4

Finally, in order to draw it on the number line, we need to do this:

Find 2.4 on the number line, then draw an open circle on that 2.4. Then, attach an arrow going from that circle all the way to the left of the number line! The circle and arrow represents the fact that "x" is not equal to 2.4, but it is smaller. If it was equal to 2.4 or smaller, then the open dot would have to be a closed dot!!!!

The relative error in calculating the area of the rectangle is 0.0155.

The relative error means ratio of the absolute error of the measurement to the actual measurement.

The actual area of the rectangle is:

= 10 ft x 8 ft

= 80 sq ft

The measured area is:

= 10.46 ft x 7.53 ft

= 78.7638 sq ft

The relative error derive by the following formula:

= (Real - Measured)/Real

= (80 - 78.7638)/80

= 0.0154525

= 0.0155.

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53

4 + 9 = 13, the one carries over, so 3 + 1 + 1 = 5

Answer:

53

Step-by-step explanation:

9 add 4 gives you 13 10 plus 30 is 40 add 13 53

Answer:

3/2

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(8-2)

   = 3/2

Answer: B

Step-by-step explanation:

The probability that he makes the first and second free throw, but misses the third free throw is 7.7 %.

Given :

suppose steph curry is fouled while shooting a three-point goal and misses his shot. the probability of steph curry making a free throw is 90%.

probability :

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

P ( makes 2 then misses 1 ) = P ( make 1st ) and P ( make 2nd ) and P ( miss 3rd )

= 0.906 *0.906 * 0.094

= 0.077

= 7.7 %

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The new dimensions of the lot is length = 22 meters and width = 20 meters

The corner lot that originally was square

Consider the  side of the lot = x

The area of the square = Length × length

Therefore,

x × x = \(x^2\)

one of the adjacent streets which is widened by 3 m and the other was widened by 5

Therefore

(x-3) × (x-5) = \(x^2\) - 185

open the brackets

\(x^2-5x-3x+15=x^2-185\)

The x square term will cancel each other

-5x-3x = -185-15

-8x = -200

x = 25 meter

The new length of the lot = x-3

= 25-3

= 22 meter

The new width of the lot = 25-5

= 20 meters

Hence, the new dimensions of the lot is length = 22 meters and width = 20 meters

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Answer:

A=3, B=2, C=1

Step-by-step explanation:

The uncertainty on the area of the circle, given the radius measurement of 10 mm ± 0.2 mm, is 12.6 mm². The correct option is a.

The formula for the area of a circle is A = πr², where r represents the radius. In this case, the measured radius is 10 mm with an uncertainty of ± 0.2 mm. To determine the uncertainty in the area, we need to calculate the maximum and minimum possible values.

Maximum radius: 10 mm + 0.2 mm = 10.2 mm

Minimum radius: 10 mm - 0.2 mm = 9.8 mm

Using these values, we can calculate the maximum and minimum areas:

Maximum area: A_max = π(10.2 mm)² = 328.32 mm²

Minimum area: A_min = π(9.8 mm)² = 301.56 mm²

The uncertainty is then given by the difference between the maximum and minimum areas:

Uncertainty = A_max - A_min = 328.32 mm² - 301.56 mm² = 26.76 mm²

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For given triangle, the length of BX is 10 cm.

What is triangle?

A triangle is a geometric shape that consists of three sides and three angles. It is one of the most fundamental and commonly studied shapes in geometry.

To find the length of BX, we can use the formula for the area of a triangle:

Area = (base * height) / 2.

We are given the areas of triangles ADX and BCX, as well as the lengths of AX and DX.

Area of triangle ADX = \(36 cm^2\)
Area of triangle BCX = \(65.61 cm^2\)
AX = 8.6 cm
DX = 7.2 cm

Let's start by finding the height of triangle ADX. We can use the formula:

\(36 cm^2\) = (BX * 7.2 cm) / 2

Simplifying the equation:

\(36 cm^2\) = (BX * 3.6 cm)

Dividing both sides by 3.6 cm:

BX = \(36 cm^2\) / 3.6 cm
BX = 10 cm

Therefore, the length of BX is 10 cm.

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The standard deviation is a measure of dispersion that is used in constructing confidence intervals for the mean and in evaluating research hypotheses.

In statistics, the same old deviation is a degree of the amount of variation or dispersion of a hard and fast of values. A low well-known deviation suggests that the values tend to be close to the suggested of the set, while an excessive widespread deviation shows that the values are spread out over a much broader range.

It tells you, in common, how some distance every rating lies from the suggestion. In everyday distributions, a high well-known deviation approach that values are typically far from the implied, while a low popular deviation suggests that values are clustered close to the mean.

Fashionable deviation tells you ways to unfold out the statistics is. It is a degree of the way some distance each location cost is from the suggest. In any distribution, about ninety-five% of values may be inside 2 preferred deviations of the suggested.

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We want to find the speed of the hyper loop if it takes 11 minutes from Dubai to Abu Dhabi. We will find that the speed is 761.75 km/h

Remember the relation:

speed = distance/time.

Here we know that the time is 11 minutes (the time in which the distance is traveled) and the distance will be the distance from Dubai to Abu Dhabi, which we can find online.

The distance is 139.4 km

Now, we know that:

1 hour  = 60 minutes.

Using this we can write the time in hours.

11 min = (11 min/60min) hours = 0.183 hours

Now we can just compute the speed:

S = (139.4 km)/(0.183 h) = 761.75 km/h

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The speed of the hyper loop is 12.6 km/min.

Speed is the total distance travelled divided by total time travelled. In order to determine the speed of the hyperloop, the total distance from Dubai to Abu dhabi has to divided by the time travelled,

Speed = distance / time

138.7 km / 11 min = 12.6 km/min

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The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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y=3-2x

please mark brainliest and have a nice day!

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

Assuming AB = BC = AC = x units, we get:

Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

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The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

The random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.

We have a sequence of independent uniform [0,1] random variables, denoted as x1, x2, x3, and so on. We also have a fixed constant c, which belongs to the interval [0,1].
Now, we want to define a random variable called n using these terms. The random variable n represents the smallest integer value k, such that the sum of the first k random variables in the sequence (x1 + x2 + ... + xk) is greater than or equal to the constant c.

To illustrate this, let's break down the steps involved in finding the value of n:
1. Start with k = 1.
2. Calculate the sum of the first k random variables: (x1 + x2 + ... + xk).
3. If the sum obtained in step 2 is greater than or equal to c, then stop and assign the value of n as k.
4. If the sum obtained in step 2 is less than c, increment k by 1 and repeat steps 2 and 3.
5. Continue repeating steps 2 to 4 until we find the smallest k such that the sum is greater than or equal to c. Assign this value of k as n.

So, in summary, the random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.
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The probability that four of the five digits are the same is 0.036.

There are 10,000 (10*10*10*10) possible sequences. There are 4C3 ways, 4, of having exactly three digits be the same value. The differing digit can be any of the four positions. There are 10P2 ways, 90 (10*9), to choose the digits of the sequence since we have 10 choices for the digit to be repeated, then 9 more options or the differing digit. The product of the combination arrangements and permutation selection, 4*90, shows there are 360 sequences with three of the same digit. Thus the probability is 360/10,000 or 0.036 or 3.6%.

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Answer:

Correct option is C)

given, y≥2x+1 and

y>

2

1

x−1

Answer:

D

Step-by-step explanation:

y>_2/3 x+1 (as diagram shows the deepest line that's why it should be either greater than or equal sign or less than or equal sign)

Now check those point,

we get for (-3,-1) is -1=-1 and for (3,3) is 3=3. This can be greater than bcoz it's upon the root point.

Answer:

equation of line

x-2y=8

Step-by-step explanation:

equation of line in slope intercept form

(y-y1)={(y2-y1)/(x2-x1)}(x-x1)

 or,(y+3)={(-5+3)/(-2-2)}(x-2)

 or,(y+3)=(1/2)(x-2)

  or,2y+6=x-2

   or,6+2    =x-2y  

or,x-2y=8

A quadratic equation is in the form of ax²+bx+c. The graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The given equation is a quadratic equaion, therefore, to know if the equation will intersect with the x-axis we need to find the roots of the equation.

Since the value of the discriminant is negative for this equation, the roots of the equation will be imaginary. Plotting the graph, we will observe that the graph will not intersect the x-axis at any point.

Hence, the graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.

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