Answer:
P = 10n + 50
Step-by-step explanation:
fixed charge 50
10 / unit
for n units of water charge is n * 10
Water bill is P
P = n * 10 + 50
P = 10n + 50
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey?
Since the distances were the same you can find the average speed directly by adding the speeds then dividing by 2. No need to weight anything.
If we’re considering speed regardless of direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
However if direction matters, then one number has to be negative since the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
Depending on the context, either of these could be your answer.
Answer:
19.2
Step-by-step explanation:
You have to trust me, this answer is correct. But here's my solution:
With the formula
Distance=Speed multiplied by Time, we can infer that Speed=Distance/Time.
But we only have one variable (Speed) in the two we need (Speed and Time), we have to pretend we have both variables. You can put the time as 1 hour, because that's the most basic unit. Note that this strategy will also work with 2 hours, 3 hours, or any measure of time.
So now for distance, let's see how fast a car can travel 24 miles. When going at 24 mph, then it'll take 1 hour. With 16 mph, then it'll take 1 hour and 30 minutes, so 1.5 or 3/2 hours.
Now we have the distance, which is 2 times 24 (Because the 24 mph and 16 mph both traveled 24 miles), equaling 48, and time, which is 1 hour plus 1.5 hours, which is 2.5 hours.
Now we use the formula Speed=Distance/Time, with 48/2.5=19 1/5 or 19.2
DUBS
(Please consider giving a Brainliest. I spent lots of time on this, and it's honestly the best answer out of all!)
HELP ME!
A line passes through the points (5,16) and (7,18) Write a linear function rule in terms of x and y for this line.
Answer:
y=x+11;
Step-by-step explanation:
Let's say the direct equation is y=kx+b;
Plug in the two points to get the system:
[tex]\left \{ {{16=5k+b} \atop {18=7k+b}} \right.[/tex]
So k is equal to 1, b is equal to 11,
so y=x+11;
Solve the inequality and graph if possible
1/5 x + 1/2 > 4/5
[tex]\sf \longmapsto \frac{1}{5} x + \frac{1}{2} > \frac{4}{5} [/tex]
[tex]\sf \longmapsto \frac{1}{5} x + \frac{1}{2} - \blue{\frac{1}{2 }}> \frac{4}{5} - \blue{ \frac{1}{2} }[/tex]
[tex]\sf \longmapsto \frac{1}{5} x > \frac{3}{10} [/tex]
[tex]\sf \longmapsto5 \times ( \frac{1}{5} x) > 5 \times ( \frac{3}{10} )[/tex]
[tex]\sf \longmapsto x > \frac{3}{2} [/tex]
[tex] \boxed{\sf \: x > \frac{3}{2} }[/tex]
Graph attachedCAN SOMEONE PLEASE ANSWER MY QUESTION IF IS WORTH 100 points!!!! I HAVE BEEN TRYING TO GET AN ANSWER SINCE 1:00! AND I HAVE SPENT OVER 1000 POINTS!!!!!!! JUST PLEASE TAKE TIME TO ANSWER!!!! DON"T PUT A LINK PLEASE OR DELETE
GIVEN THAT TAN Ꝋ= - 4/3 AND Ꝋ IS IN QUADRANT II, FIND SIN 2Ꝋ
Answer:
sin 2θ = -24/25
Step-by-step explanation:
see the below formula of sin x in terms of tan x
by substituting => -4/3 / ± √(16/9 + 1)
=> -4/3 / ± √(25/9)
=> -4/3 / ± 5/3
=> ± -4/5
=> ± 4/5
as theta is in second quadrant is in 2nd quadrant sin value is positive
so sin θ = 4/5 and cos θ = -3/5
now sin 2θ = 2 sinθcosθ
= 2 * 4/5 * -3/5
= -24/25
A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours. How long would it take for that train to travel 100 miles?
Answer: 1 hour and 50 min
Step-by-step explanation:
Answer:
Step-by-step explanation:
Can someone tell me what happens in 2 hours
Please help
No links
Answer:
same thing as adding 3/5 +3/5
total number of parts in a rectangle is 5
the product is 6/5 or 1 1/5
The price of a gallon of unleaded gas has dropped to 2.85 today. Yesterday's price was 2.91. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Is (1,1), (2,2), (3,3), (4,4), (5,8) a function? Why or why not?
pls help me and pls no link dont try me
Answer:
red line
the red line has a slope of -1 by looking at the coordinates,
it also intersects the given point (1,-1)
i= $200
p= ?
r= 5.5%
t= 4 years
Step-by-step explanation:
I = $200
T = 4
R = 5.5 = 5½ = 11/2
I = PRT/100
200 = (4 x 11 x P)/(100 x 2)
200 = 22P/100
22P = 20000
P= 20000/22
P= $909.09
A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Using the information given, it is found that the 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
3156 out of 40467 adults experienced depression, hence:
[tex]n = 40467, \pi = \frac{3156}{40467} = 0.078[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 - 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.075[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 + 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.081[/tex]
The 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).
A similar problem is given at https://brainly.com/question/16807970
Pretty please answer diss
Answer:15
Step-by-step explanation:
x=180-(110+55)=15
Find the total amount you will pay on a bill of $43.50 and tip rate of 12%.
Answer:
About $48.72
Step-by-step explanation:
Tip = Cost * 0.xx
Total including Tip = Cost * 1.xx
where xx = the percent tip you want to leave.
Which table of values represents a linear function?
Find the area of the rectangle.
9 m
16 m
☞ 9m
☞ 16m
Formula: A = lw
Whereas:
A = area
l = length
w = width
Solution:[tex]a = lw \\ 9 \times 16 \\ a = 144m[/tex]
Final Answer:[tex]\huge\color{pink}\boxed{A = 144m}[/tex]
y-3x=9, 7x+y=25, what is the value of x and y?
Answer:
x = 1.6 , y = 13.8
Step-by-step explanation:
y - 3x = 9 ( add 3x to both sides )
y = 9 + 3x → (1)
7x + y = 25 → (2)
Substitute y = 9 + 3x into (2)
7x + 9 + 3x = 25
10x + 9 = 25 ( subtract 9 from both sides )
10x = 16 ( divide both sides by 10 )
x = 1.6
Substitute x = 1.6 into (1)
y = 9 + 3(1.6) = 9 + 4.8 = 13.8
Use compatible numbers to estimate the question 28÷232
Answer:
Round 28 up to 30, round 232 to 240
30/240 ~=~ 1/8
An approximate is 1/8.
1.
The diagram shows a kite, ABCD.
AFE and CEF are equilateral triangles.
The ratio of angle DAE : angle EAF = 1:4.
Work out angle x
Write on the diagram the values of any other angles you use in your working.
Answer:a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.
Step-by-step explanation:
b) ∠CDB = 120° because 180° - 60° = 120°
Select all true statements about the line and its equation.
Answer:
the first, second and fifth ones
Step-by-step explanation:
The price of a notebook was 3.70 yesterday. Today, the price fell to 3.20. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
The price was dropped around 15%
Step-by-step explanation:
You will pay $3.15 for a item with original price of $3.70 when discounted 15%. In this example, if you buy an item at $3.70 with 15% discount, you will pay 3.70 - 0.555 = 3.15 dollars.
Tried a couple times but cant seem to find the answer, would appreciate an explanation.
Answer:
Option CStep-by-step explanation:
You just need tp translate what is written in the two- column proof into paragraph.
Given that the two angles have same measure of 125°, by transitive property we proof that the angles are congruent.
We don't perform any of addition, division or multiplication operations. We just compare the angle measures and come to conclusion.
This is best described in the paragraph C
When A = 5x + 4 and B = 9x - 6 what is the value of B-A
help
Answer:
B - A = 4x - 10
Step-by-step explanation:
B - A
= 9x - 6 - (5x + 4) ← multiply terms in parenthesis by - 1
= 9x - 6 - 5x - 4 ← collect like terms
= 4x - 10
Answer:
4x-10
Step-by-step explanation:
Help pls I can’t get this anymore
Answer:
D
Step-by-step explanation:
According to the Pythagorean theorem, if you call the 2 legs of a right triangle a and b respectively and call the length of the hypotenuse c, you have:
[tex]a^{2} + b^{2} = c^{2}[/tex]
=> [tex]36^{2} + 10^{2} =[/tex] [tex]hypotenuse ^{2}[/tex]
=> 1396 = [tex]hypotenuse ^{2}[/tex]
=> hypotenuse = [tex]\sqrt{1396}[/tex] (inch)
=> Answer D
PLEASE HELP ME GIVING BRAINLIEST
Answer:
B
Step-by-step explanation:
Because it starts from the smallest negative prefix to largest
To solve for k in the inequality -16 -32 > -48, what steps are correct?:
A First, subtract 32 to each side, then divide by -16 and flip the sign
B First, divide both sides by 16, then add 32 to both sides and leave
the sign
C First, subtract 48 from both sides, divide by -16 and leave the sign
D First, add 32 to both sides, then divide by -16 and flip the sign
Answer:
D. First, add 32 to both sides, then divide by -16 and flip the sign
Step-by-step explanation:
Taking that the inequality is -16k-32>-48
First you have to get rid of any addition or subtraction, in this case you have to get rid of -32 by adding 32 to each side:
-16k-32+32 > -48 +32
Then you need to divide by -16 and flip the sign because you are dividing by a negative number and if you don't flip the sign the inequality will be false.
[tex]\frac{-16k}{-16} <\frac{-16}{-16}[/tex]
The sum of any two sides of a triangle is greater than the length of the third side. If two sides of a triangle are 5 inches and 17 inches. Find the range of values for the lengths of the third side.
Answer:
12<x<22
Step-by-step explanation:
write a compound inequality for the following graph -7and -3
Mr. Munoz gave his students the following expression to simplify as their exit ticket for class one day.
Answer:
d
Step-by-step explanation:
6 two the second power+(59-4) divided by 11)×2
Answer:
Step-by-step explanation:
6^2+ (59 - 4 ) = 36 + 55 = 91
I'm taking this to mean 11*2 If I am wrong leave a note.
11*2 = 22
91 / 22 = 4.14
what is the sum of 4+(−3)+(−2) ?
Answer: -1
Step-by-step explanation: 4 + (-3) = 1 1 + (-2) = -1