Answer: Hank hike 36 miles in 9 h.
6 hours for 24 miles
9 hours for x miles
[tex]Hank_{rate} =24/6=4\;mi/h[/tex]
[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]
Joshua is using a garden hose to fill a swimming pool with water. The graph below shows
the amount of water in the pool over time. Use the drop-down menus to explain the slope of
the graph.
For the first option the numbers are 90,10,5,18,2
Answer:
minutes needed to add each gallon of water in the pool
Step-by-step explanation:
The X-axis is the time and the Y-axis is the gallons. Y is the one being influenced by X. So, the amount of gallons in the pool is being influenced by the amount of time.
What is the value of m+(6n-1) when m=3 and n=1?
Answer:
8
Step-by-step explanation:
you do the brackets first so (6n-1) would be 6-1 which equals 5
now we have m=5, m is 3 so 3+5=8
Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an
equation modeling the inverse variation between the stock and bond prices to predict the price of
Stock Texas when Bond Austin is worth the following
$68.74
Answer:
I think the answer would be $466.24.
For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?
Answer:
40 adults and 140 kids
Step-by-step explanation:
Answer:
40 adults
Step-by-step explanation:
40 adults and 140 kids
20 times 7 is 140
40 plus 140 is 180
Solve the system of equations.
y= 3x
y= x2-10
Answer:
(-5, 2) and (2, 6)
Step-by-step explanation:
Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.
3x = x^2 - 10
x^2 - 3x - 10 = 0
Use the quadratic equation to solve for x.
x = - 5, 2
Now solve for y using these two values of x by substituting it back into the equations.
y = - 15, 6
In coordinate form, (-5, 2) and (2, 6)
Consider the function.
f(x) = 2 1/2 - 3 1/3x
What is the x-intercept of f-1(x)?
(-3 1/3,0)
(-3/10,0)
(3/4,0)
( 2 1/2, 0)
Answer: (2 1/2, 0) (the last option)
Step-by-step explanation:
I guess the function is:
f(x) = (2 1/2) - (3 1/2)*x
now, the rule for f-1(x) that we know is:
f-1( f(x) ) = x.
So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)
f-1(f(0)) = 0.
And we have that f(0) = (2 1/2) - (3 1/3)*x = 2 1/2
This means that the x-intercept of f-1(x) will be when x= 2 1/2, so the intercept is:
(2 1/2, 0)
Answer: the answer is D
Step-by-step explanation:
big fat smelly ballsack
The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. A journalist wrote an article about the restaurants whose average drive-through wait times were in the top 25\%25%25, percent for that town. What is the minimum average wait time for restaurants that the journalist included in the article?
Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.
------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 185 seconds, thus [tex]\mu = 185[/tex].Standard deviation of 11 seconds, thus [tex]\sigma = 11[/tex].The top 25% is at least the 100 - 25 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 185}{11}[/tex]
[tex]X - 185 = 11(0.675)[/tex]
[tex]X = 192[/tex]
The minimum wait time is of 192 seconds.
A similar problem is given at https://brainly.com/question/7001627
plz help ill mark u brainliest
Answer:
1/6
Step-by-step explanation:
P(3) = number of three's / total number of outcomes
= 1/6
How many solutions does the system of nonlinear equations graphed below
have?
Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.
Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.
Step-by-step explanation:
Answer:
You Should see 4 Points
Step-by-step explanation:
a right triangle has a leg of 3 feet and hypotenuse of 4 feet. what is the length of the other leg? enter your answer, as a decimal rounded to the nearest tenth, in the box?
Answer: 2.6
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9 + b^2 = 16
b^2 = 7
b = 2.6
Answer:
√7 = 2.6
Step-by-step explanation:
a²+b²=c²
9+b²=16
b²=7
Ms. Wolfram's compost bin used for her garden is shaped like a rectangular prism. The bin is 4 inches long, 18 inches wide, and 9 inches tall. Ms. Wolfram has to fill 20% of the bin with brown material, like leaves, and 30% of the bin with green material, like vegetable scraps. What are the volumes of greens and
browns Ms. Wolfram needs to put in the bin? Please state how you got your answer
Green Material:
Brown material:
Ms. Wolfram should ask her husband Stephen, who's an incredible mathematician and computer scientist who's given the world a great gift in the website Wolfram Alpha which can answer all your math questions and more.
Anyway the volume of the bin is length times width times height,
V = 4 × 18 × 9 = 648 cubic inches
So the volume of brown is 20 % of that
B = 20% of V = .2 × 648 = 129.6 cubic inches
The volume of green is 30%,
G = 30% of V = .3 × 648 = 194.4 cubic inches
Answer: Green 194.4 cubic inches, Brown 129.6 cubic inches
what are their means and extremes of the following proportion
Answer:
a and d are extremes b and c are meansStep-by-step explanation:
[tex]\frac{a}{b} =\frac{c}{d}[/tex]
another way to write the equality of the two ratios is :
a : b = c : d
as you can see in the equality a : b = c : d
a and d are extremes b and c are meansthanks for the help !
Answer:
Quadrant 4!
Step-by-step explanation:
It isn't quite 2 pi, so it doesn't make it around the circle twice, making it land in quadrant 4
A local car dealer has 150 cars on the lot. 30% of the cars are sedans. How many of the cars are NOT sedans?
Answer:
105 cars
Step-by-step explanation:
150cars=100%
and if 30% of the cars are sedans then the cars which are not sedans is
100%-30% =70%
if 150 cars=100%
? cars=70%
if less more devides
70%/100%×150cars
all zeros cancel which would be left with
7× 15
105 cars.
Answer:
The answer is 105
So that 30% of those cars are 45 Sedans of the 150 cars.
Now we need to find out how many cars are in that remaining 70%
In order to do this we need to subtract 45 from 150
So 150 minus 45 is 105
Finally, we know that that remaining 70% is 105 cars that aren't Sedans.
So 105 cars are not Sedans.
The math department needs to buy new textbooks and laptops for
the computer science classroom. The textbooks cost $89.00 each, and
the laptops cost $395.00 each.
a. If the math department has $7200 to spend and purchases 60
textbooks, how many laptops can they buy?
b. Suppose the math department decided to purchase 35
textbooks instead of 60. How does this change the number of
laptops that they can buy?
Answer:
a. 4
b. 10
Step-by-step explanation:
A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops. Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.
B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.
Answer:
A:$7200-$5340
=$1860
They can buy 4 laptops which will cost $1580 and leave you with $280
B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops
Step-by-step explanation:
Please help with this
the answer is D) A and E
Can someone help me asap
The right answer is 2.8
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Can somebody help me with this question
Answer: -17 degrees
Step-by-step explanation:
109-126 = -17
Answer:
-17 degrees
Step-by-step explanation:
since it is 126 degrees lower, you minus 126 from 109. 109-126= -17
what is the value of the expression 3 1/4 - 1 7/8 =
The dot plots show exam scores for 25 students. Which exam has an outlier?
Is my answer correct?
Answer:
yes of course it is correct good job
Answer:
yes your answer is correct
Describe the solutions of 6+y<10 in words.
The value of y is a number less than 4.
The value of y is a number equal to 3.
The value of y is a number less than or equal to 3.
The value of y is a number greater than 4.
If W = 3x + 1 and P = -2x + 7, what is 2W + 2P
Answer:
2x+16
Step-by-step explanation:
2W+2P
Lets substitute the W and the P for their respective values.
2(3x+1) + 2(-2x+2)
Simplify
6x + 2 + -4x + 4
Simplify again
2x + 6
And there you have it!
Answer:
2x + 16
Step-by-step explanation:
2W + 2P
= 2(3x + 1) + 2(- 2x + 7) ← distribute both parenthesis
= 6x + 2 - 4x + 14 ← collect like terms
= 2x + 16
If you travel 200 miles in 300 minutes. How
fast did you travel in MPH...mile per hour?
Answer:
40 miles per hour
Step-by-step explanation:
Change 300 minutes to hours. There are 60 minutes to hours
300 minutes * 1 hour/ 60 minutes = 5 hours
Now take the miles and divide by hours
200 miles / 5 hours = 40 miles per hour
Answer: 40 mph
Step-by-step explanation: 300 minutes is 5 hours. 40 mph for 5 hours is 200 miles traveled.
1. Which number is greater: 35% or 3.5?
Answer:
3.5
Step-by-step explanation:
35% is only 0.35
Answer:
3.5
Step-by-step explanation:
A car salesman recorded the number of people who purchased a new car and the car's color. He then created the following bar graph:
Which of the following statements best compares the heights of the bars of the bar graph?
There are more people who purchased a red car than white and black cars combined.
There are more people who purchased a silver car than white and black cars combined.
There are twice as many people who purchased a red car than a black car.
There are 3 times as many people who purchased a black car than a silver car.
Answer:
There are twice as many people who purchased a red car than a black car.
Mr. Davis has 15 students in his class he wants to send three of his students to pick up books for the class how many combinations of students can he choose
Answer:
45 combinations
Step-by-step explanation:
15*3= 45
A bank loaned out $20,000, part of it at the rate of 9% per year and the rest at 17% per
year. If the interest received in one year totaled $3000, how much was loaned at 9%?
How much of the $20,000 did the bank loan out at 9%?
Answer:
The bank loan out at $5000 at 9%
Step-by-step explanation:
A bank loaned out $20,000
Let x be the amount loaned at at the rate of 9% per year
So, 20000-x amount loaned at at the rate of 17% per year
Formula : [tex]A =P(1+r)^t[/tex]
Amount at 9% interest in 1 year
[tex]A=x(1+0.09)^1[/tex]
A=1.09x
Interest = Amount - Principal = 1.09x-x=0.09x
Amount at 17% interest in 1 year
[tex]A=(20000-x)(1+0.17)^1[/tex]
A=1.17(20000-x)
Interest = Amount - Principal = 1.17(20000-x)-(20000-x)
We are given that the interest received in one year totaled $3000
So,1.17(20000-x)-(20000-x)+0.09x=3000
x=5000
So, the bank loan out at $5000 at 9%
Solve x + 5x – 14 = 0
I’m doing factorising and solving quadratics.
Answer:
x + 5x = 14
6x = 14
x = 14/6
x = 7/3
Step-by-step explanation:
please help, I don’t understand.
Answer: The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Step-by-step explanation:
You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.
From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:
A = 90° - 40° =50°
(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)
Now, we want to find the opposite cathetus to this angle, so we can use the relation:
Tan(A) = Opposite cath/adjacent cath.
And we know that the adjacent cathetus, the tower, is 324m long.
then:
Tan(50°) = X/324m.
Tan(50°)*324m = X = 386.1m
now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.
So we have:
Tan(35°) = X/324m
Tan(45°)*324m = 226.9m
then:
The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
From a point P, a boy observe that the angle of elevation of the top of a pole is 45, if the height of the
pole is 15 m, find the distance of P from the foot of the pole.
Please help
Answer:
15m
Step-by-step explanation:
The pole is perpendicular to the floor and the angle of elevation is 45. Thus, it forms a right-angled, isoceles triangle. So the distance from point P to the bottom of the pole is equal to the height of the pole, which is 15m
