A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 miles away. Model Susie’s situation with a system of inequalities.
Without solving, decide what method you would use to solve each system: graphing, substitution, or elimination. Explain. 4s-3t=8 ; t=-2s-1
How many inches are in a foot?
find two consecutive even integers such that the smaller added to five times the larger give you a sum of 46.
What is the value of k in the equation below? 5k - 2k = 12? 1 1/5, 1 5/7, 3, 4
Answer:4
Step-by-step explanation:
Find the value of x in 4000(1.5x) = 25,000. show all work
Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds. How does Steve's time compare to Paul's?
A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?
simplify the expression I-30I
The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.[-5, 5] by [-5, 5] (1 point)
Answer:
r = 2 - 3 cos θ
Step-by-step explanation:
This is the best I could come up with.
Information about movie ticket sales was printed in a movie magazine. in a sample of of fifty pg-rated movies, 36% had ticket sales in excess of $30,000,000. in a sample of thirty-five r-rated movies, 23% grossed over $30,000,000. suppose that this data is used to test the claim that the proportion of movies with ticket sales in excess of $30,000,000 is the same for pg movies as it is for r-rated movies. what would be the test statistic for this test? z = 1.29 z = 2.07 z = 4.005 z = 2.58
Let us say that the samples for fifty movies is 1 and samples for thirty five is 2. To solve the test statistic z, we can use the formula:
z = (p1 – p2) / sqrt [p (1 – p) (1 / n1 + 1 / n2)]
Where,
p1 = is the proportion for sample 1 = 0.36
p2 = is the proportion for sample 2 = 0.23
n1 = number of samples = 50
n2 = number of samples = 35
while p can be calculated using the formula:
p = [p1 * n1 / (n1 + n2)] + [p2 * n2 / (n1 + n2)]
p = [0.36 * 50 / (50 + 35)] + [0.23 * 35 / (50 + 35)]
p = 0.211764705 + 0.094705882
p = 0.306470587
Going back for the calculation of z:
z = (0.36 – 0.23) / sqrt [0.306 (1 – 0.306) (1 / 50 + 1 / 35)]
z = 1.279
Therefore the nearest answer is:
z = 1.29
Which figure has the correct lines of symmetry drawn in?
The figure which has the correct lines of symmetry drawn is figure D.
What is line of symmetry?A line of symmetry refers to the line that divides a shape or an object into two equal and symmetrical parts.
The figure given is a five sided shape referred to as a pentagon.
A pentagon has five lines of symmetry.
Therefore, the correct line of symmetry is 5 lines drawn from each angle respectively.
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Quadrilateral ABCD is similar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet, 40 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 4th side on quadrilateral ABCD?
Final answer:
The length of the fourth side on quadrilateral ABCD is 120 feet.
Explanation:
Given that quadrilateral ABCD is similar to quadrilateral EFGH, we can use the property of similar figures to find the length of the fourth side on quadrilateral ABCD.
If the two shortest sides of quadrilateral EFGH are 6 feet and 12 feet long, we can set up a proportion using the corresponding sides of the two quadrilaterals.
Let x be the length of the fourth side on quadrilateral ABCD.
Using the property of similar figures, we have:
(60/6) = (x/12)
Cross multiplying, we get:
6x = 720
Dividing both sides by 6, we find:
x = 120
Therefore, the length of the fourth side on quadrilateral ABCD is 120 feet.
What is the value of -2 (7-15) over 4
An earthquake with a rating of 3.2 is not usually felt. What is the value of x when the Richter scale rating is 3.2? Round your answer to the nearest hundredth.
5 times the difference of 29 and a number is 215. Which equation below can be used to find the unknown number?
Answer:
The required equation is [tex]5(29-n)=215[/tex]
Step-by-step explanation:
Given : 5 times the difference of 29 and a number is 215.
To find : Which equation can be used to find the unknown number?
Solution :
Let the number be 'n'.
The difference of 29 and a number i.e. [tex]29-n[/tex]
5 times the difference of 29 and a number i.e. [tex]5(29-n)[/tex]
5 times the difference of 29 and a number is 215 i.e. [tex]5(29-n)=215[/tex]
Therefore, the required equation is [tex]5(29-n)=215[/tex]
Can someone please help me solve this triangle problem, picture is shown.
value for X^2 left for 95% confidence interval when n=18
Which expression is equivalent to (7^3)−2
A- 1 over 7 times 7 times 7 times 7 times 7 times 7
B- 7
C- 1 over 7
D-negative 1 over 7 times 7 times 7 times 7 times 7 times 7
Each figure is filled with unit cubes. Drag 22 figures whose combined volume is equal to 45 unit cubes.
To solve this problem, what we have to do first is to calculate for the volumes of each figure. Let us start from the figure on the left going to the right. Let us call the figures 1 to 4. Formula for volume is:
V = l * w * h
Figure 1:
V1 = 4 * 3 * 1 = 12 unit cubes
Figure 2:
V2 = 3 * 2 * 3 = 18 unit cubes
Figure 3:
V3 = 2 * 2 * 4 = 16 unit cubes
Figure 4:
V4 = 3 * 3 * 3 = 27 unit cubes
The two combinations that would result in 45 total unit cubes would be:
V = V2 + V4 = 18 unit cubes + 27 unit cubes = 45 unit cubes
So the answers are:
Figure 2 and Figure 4
What is the sum of the arithmetic series? ∑[i=1,15,Fn=5i-1]
simplify the expression below. show your work. -(-7y+12)
Sidney made $26 more than seven times Casey's weekly salary. If x represents Casey's weekly salary, write an expression for sidney's weekly salary
You have a 20-foot ladder that you are using as you paint your house. You place the ladder so that it forms an angle of 30 at the point of contact between the ladder and the ground. How high will the top of the ladder be above the ground
Answer:
The Ladder is 10 ft high.
Step-by-step explanation
According to the question we have a 20 ft ladder inclined against a wall at a 30° angle, and are asked to find how high the top of the ladder is from the ground. I have added a visual representation to help you better understand the situation. As you can see we need to solve for x. Since we are given one angle and the hypotenuse we can solve for x using the SIN operator.
[tex]sin(a) = \frac{opposite}{hypotenuse}[/tex]
Since we have the angle (a) and the hypotenuse we can just plug the information into the sin equation and solve for the opposite (x).
[tex]sin(30) = \frac{x}{20ft}[/tex]
[tex]sin(30)*20ft = x[/tex]
[tex]0.5*20ft = x[/tex]
[tex]10ft = x[/tex]
So now we can see that the height of the top of the ladder to the ground is 10 ft
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Pediatric asthma survey, n = 50. suppose that asthma affects 1 in 20 children in a population. you take an srs of 50 children from this population. can the normal approximation to the binomial be applied under these conditions? if not, what probability model can be used to describe the sampling variability of the number of asthmatics?
n=50, p=1/20, q=(1-p)=19/20, and npq=19/eight=2.4
We would like np and npq to be a huge range, at least extra than 10.
The ordinary approximation can usually be carried out, but the result might be very approximate, relying on the values of np and npq.
conditions are favorable for the normal approximation when p is around 0.5, say among 0.3 and 0.7, and n>30.
For the given scenario, np=2.five, npq=2.375, so widespread deviation=sqrt(2.375)=1.54.
underneath what conditions binomial distribution tends to be everyday distribution?the theory states that any distribution becomes normally allotted whilst the variety of variables is satisfactorily massive. for example, the binomial distribution has a tendency to alternate into the regular distribution with suggest and variance.
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What is the distance between (–6, 2) and (8, 10) on a coordinate grid?
Answer:
D. √260
Step-by-step explanation:
Use the distance formula then input the points (–6, 2) and (8, 10) into it to get √(-6 −2)^2 + (2 −10)^2. Finaly simplify/solve and you get √260.
A ship traveled for 4 hours heading east and for 3 hours heading north. If the total distance traveled was 149 miles, and the ship traveled 3 miles per hour faster heading north, at what speed was the ship traveling east?
A geometry class has a total of 34 students. The number of males is 14 more than the number of females. How many males and how many females are in the class?
Write an equation for the function. Tells what each variable you use represents. A plant's height is 1.6 times its age in months.
Find the rectangular coordinates of the point with the polar coordinates. ordered pair negative 5 comma 5 pi divided by 3