what fractions is 0.75 equal to

Answer:B

Step-by-step explanation: The distance traveled by a truck driving at a constant speed compared with time.

Let

x----------> charge per hour to rent a jet sky in dollars

y----------> the total cost to rent a jet sky in dollars

we know that

First Jet Sky Company

[tex]y=24.00+2.25x[/tex] ---------> equation [tex]1[/tex]

Second Jet Sky Company

[tex]y=23.00+2.50x[/tex] ---------> equation [tex]2[/tex]

we know that

To find the number of hours for which the costs are the same

equate equation [tex]1[/tex] and equation [tex]2[/tex]

The intersection both graphs is the solution of the problem

using a graph tool

see the attached figure  

the intersection point is [tex](4,33)[/tex]

That means

For [tex]x=4\ hours[/tex]

the cost of the rent is [tex]y=\$33[/tex] in both companies

therefore

the answer is

[tex]4\ hours[/tex]

For 4 hours of booking, the charges paid to both the companies should be same. And the charge will be $ 30.

Let x be the number of hours of booking per jet ski.

First company charges $24.00 plus $2.25 per hour to rent a jet ski.

So, the total cost paid for x hours to the first company will be,

[tex]C_1=24+2.25x[/tex]

Second company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.

So, the total cost paid for x hours to the second company will be,

[tex]C_2=23+2.5x[/tex]

Now, the charge paid to both the companies should be same. For this condition, the number of hours of booking per jet ski should be,

[tex]C_1=C_2\\24+2.25x=23+2.5x\\1=0.25x\\x=4[/tex]

Therefore, for 4 hours of booking, the charges paid to both the companies should be same. And the charge will be,

[tex]24+2.25\times4=\$33[/tex].

For visuals, refer the attached graph.

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Final answer:

After solving the original equation 2/3(6x+12)=-24, we find x = -8. Comparing this solution with the provided equations, the ones that have the same value for x are 9x+18=-24, 18x+36/2=-24, and x=-8.

Explanation:

To find which equations have the same value for x as 2/3(6x+12)=-24, we must first solve the original equation to find the value of x it yields:

2/3(6x+12) = -24
Multiply both sides by 3/2 to eliminate the fraction:
6x + 12 = -24 * (3/2)
6x + 12 = -36
Subtract 12 from both sides:
6x = -48
Divide by 6:
x = -8

Now we will compare this solution with the other equations:

Therefore, the equations that have the same value of x as the original equation are 9x+18=-24, 18x+36/2=-24, and x=-8.

Answer:

Answer B is correct

Answer:

(C)

Step-by-step explanation:

It is given that a right triangle, ACB which is right angled at C has BC = 24 inches, and AB = 25 inches.

We know that m∠C=90°,

Using the trigonometry in ΔACB, we have

[tex]sinB=\frac{AC}{AB}[/tex]

Substituting the given values, we get

⇒[tex]sinB=\frac{24}{25}[/tex]

⇒[tex]B=sin^{-1}(0.96)[/tex]

⇒[tex]B=73.7^{\circ}[/tex]

Also, [tex]sinA=\frac{CB}{AB}[/tex]

Substituting the given values, we get

⇒[tex]sinA=\frac{7}{25}[/tex]

⇒[tex]A=sin^{-1}(0.28)[/tex]

⇒[tex]A=16.3^{\circ}[/tex]

Therefore, the measure of the angles in triangle ABC are  m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°.

Thus, option C is correct.

Answer:

B. -6

Step-by-step explanation:

There is a mistake in the question. It would have to say:

Your football team gained four yards on first down and two yards on second down during its last possession

So, your team gained 4 + 2 = 6 yards.

Calling x, the additive inverse of 6, the following equation must be satisfied:

6 + x = 0

x = 0 - 6

x = -6

Answer:

It rises to the left and rises to the right.

Step-by-step explanation:

The correct dependent variable in this experiment is the Length of wax after 10 minutes.

In the context of an experiment, the dependent variable is the variable that is being measured or tested in the experiment. It is the outcome that the experimenters are interested in observing to determine the effect of the independent variable.

 In this case, the students are investigating the thermal conductivity of copper and steel wires by observing how much wax melts over a fixed period of time when the wires are heated. The independent variable is the type of wire used (copper or steel), as this is what the students are changing to see its effect on the dependent variable.

The dependent variable is the length of wax remaining after 10 minutes because this measurement is expected to change based on the thermal conductivity of the wire. The better the thermal conductor, the more heat will be transferred along the wire, and the more wax will melt. Since the students are measuring how much wax has melted (by subtracting the length of wax after 10 minutes from the original length), this is the dependent variable.

The original length of wire and the original length of wax are control variables; they are kept constant to ensure that any differences in the dependent variable are due to the independent variable (the type of wire) and not due to other factors. The thermal conductivity of the wire is a property being indirectly measured through the observation of the dependent variable. It is not directly measured and thus is not the dependent variable.

the answer would be b. C=(2,0), A=(0,1), T=(1,4)

all x's move 2 to the right and no change in y

Solution: If a shape is being translated neither it's shape nor size changes.When we translate a shape we just move a shape or geometrical figure by certain distance either horizontally or vertically or both horizontally and vertically.

Coordinates of Triangle CAT is →C(0,0), and A(-2,1), and T(-1,4).

In option (a) vertices C has not been translated , but A and T are translated.Which is Untrue because we have to move all the vertices by same value. But x and y can have different value.

In option (b) all the coordinates C,A,and T is being translated along→ x by 2 units , horizontally right, but not translated in vertical direction.  

C(0,0)⇒C(0+2,0+0)→C(2,0)

A(-2,1)⇒C(-2+2,1+0)→C(0,1)

T(-1,4)⇒C(-1+2,4+0)→C(1,4)

In option C, Coordinates of A and B are changed but not of C, So in this case translation can't happen.

In option D , C is being translated 2 units horizontally left ,  but amount of translation in A and T are different.

So , Option (b) is true.

The equation relating the total cost with the number of hours will be c = 2.25h + 5.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have North parking garage where it costs $5 to bring your car into the garage plus $2.25 for every hour the car is parked.

Assume that [h] represents the number of hours the car was parked and [c] represents the total cost. Then, we can write the equation relating the total cost with the number of hours will be -

c = 2.25h + 5

Therefore, the equation relating the total cost with the number of hours will be c = 2.25h + 5.

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[The complete question is -

At the North parking garage it costs $5 to bring your car into the garage plus $2.25 for every hour the car is parked. If h, represents the number of hours the car was parked and c, represents the total cost, which equation would model this situation?]

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The other angles in the isosceles triangle are 40°.

Option D is the correct answer

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

One angle = 100°

We know that,

In an isosceles triangle, there are two equal sides and two equal angles opposite to the equal sides.

The sum of the three angles in the isosceles triangle is 180.

We already have,

One angle = 100°

The other two should be equal.

The sum should give us 180°.

Now,

40 + 40 = 80

100 + 80 = 180°

Thus,

The other angles in the isosceles triangle are 40°.

Option D is the correct answer

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Answer:

The below graph represents this scenario.

Step-by-step explanation:

Given,

The deposited amount, P = $ 21,

Annual interest rate, r = 2.4 % = 0.024,

Thus, the simple interest after x years,

[tex]y=P\times r\times t[/tex]

[tex]=21(0.024)(x)[/tex]

[tex]=0.0504x[/tex]

If x-axis shows the number of years and y axis represents the simple interest after x years,

So, y = 0.0504x is a line passes through the origin which will show the given scenario,

( shown below )

Also, x ≥ 0 ( number of years can not be negative )

Answer: positive

Step-by-step explanation:

The slope of a line is given by:-

[tex]m=\dfrac{\text{rise}}{\text{run}}[/tex]

From the given picture, it can be seen that the rise in the line l is positive since the change in the y coordinates increases as we from left to right.

Similarly we can see that  the run in the line l is positive since the change in the x coordinates increases as we from left to right.

By using above formula, the slope of line m is positive.

The average speed for the trip is calculated by using the formula of total distance divided by total time. For a total distance of 130 miles and total time of 2.42 hours, the average speed is approximately 53.72 mph.

In order to find the average speed for the entire trip, we need to use the formula which is total distance travelled divided by the total time taken. The total distance travelled is 100 miles at 60mph plus 30 miles at 40mph, which results in 130 miles.

Now, to find the total time taken, we divide the distance travelled by the speed, which is 100 miles at 60mph results in 1.67 hours and 30 miles at 40mph results in 0.75 hours. Hence, the total time taken is the sum of these two times which is 2.42 hours.

Applying the formula for average speed, i.e., total distance divided by total time, we get 130 miles divided by 2.42 hours results in approximately 53.72 mph which is the average speed for the trip.

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To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.

The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.

To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.

The p-value is the probability of observing a value more extreme than the test statistic.

In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.

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To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.

The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.

To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.

The p-value is the probability of observing a value more extreme than the test statistic.

In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.

https://brainly.com/question/34682139

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To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.

The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.

To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.

The p-value is the probability of observing a value more extreme than the test statistic.

In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.

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Answer:

d

Step-by-step explanation:

The proportion given to us is

[tex]\frac{16}{x} =\frac{x}{4}[/tex]

Next we cross multiply to get

[tex]16*4=x*x[/tex]

[tex]64=x^2[/tex]

[tex]x^2=64[/tex]

Take the sqrt on both side to get x

so

[tex]\sqrt{x^2}   = \sqrt{64}[/tex]

x=8

so the correct option is d .

Answer

39.8°

Explanation

To solve this we can use the trigonometric ratio tangent.

tan x = opposite / adjacent

           = 10/12

           = 0.8333...

x = tan⁻¹(0.8333..)

  = 39.8°

The best approximation for the measure of angle XYZ in the given triangle is 39.8 degrees.

To solve this we can use the trigonometric ratio tangent.

tan x = opposite side / adjacent side

We have given the,

Opposite side=10in

Adjacent side=12in

use this value in the gven formula

Therefore we get,

                tanx    = 10/12

                tanx  = 0.8333...

x = tan⁻¹(0.8333..)

x  = 39.8°

Therefore, The best approximation for the measure of angle XYZ is 39.8 degrees.

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Answer:

P represents the population in year 0

Step-by-step explanation: