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!)
In which set do all of the values make the inequality 3k – 6 < 12 true?
The set of values that satisfies the inequality is (-∝, 6)
Inequality shows the non-equal comparison between two numbers or other mathematical expressions.
Given the inequality: 3k – 6 < 12
Solving the inequality:
3k – 6 < 12
Add 6 to both sides:
3k - 6 + 6 < 12 + 6
3k < 18
Divide both sides of the equation by 3:
3k/3 < 18/3
k < 6
The set of values that satisfies the inequality is (-∝, 6)
Find out more at: https://brainly.com/question/25285332
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
Which table of values represents a linear function?
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
Is (1,1), (2,2), (3,3), (4,4), (5,8) a function? Why or why not?
Carter invests money in an account paying a simple interest of 6.2% per year. If he invests $80 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?
Answer:
about 5k
Step-by-step explanation:
trust bro
The what
states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
Answer:
The distributive property of multiplication over addition: Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. ... The distributive property of multiplication over subtraction.
Step-by-step explanation:
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°
Geometry please help 30 points
Answer:
The answers for each are the following
A.) RPT
B.) NM
C.) X=7
Here at Dillard 6-12 the amount of new teacher went from 24 teachers to 30 teachers. What is the percent of change?
Answer:
25% increase
Step-by-step explanation:
formula for percent of change = (new amount - original amount) / original amount; this will give you a decimal and multiply it by 100 to get the percent
(30 - 24) / 24
6/24 = 1/4 = 0.25
25% increase
Sarah practices the piano 1/3 hour in the morning, 5/6 hour in the afternoon, and 4/5 hour in the evening.
Answer:
Sarah practices the Piano for 1.96666 Hours or 59/30 Hours
Step-by-step explanation:
0.33333 + 0.83333 = 1.16666
1.16666 + 0.8 = 1.96666
1.96666 = 59/30
Jakin leaves a 15% tip each time he goes out to eat. If his bill was $48. How much tip should he leave?
Answer:
$7.20
Hope I helped
The cost to run Machine 1 for an hour is $2. During that
hour, Machine 1 produces 240 bolts and 100 nuts. The cost
to run Machine 2 for an hour is $2.40. During that hour,
Machine 2 produces 160 bolts and 160 nuts. With a combined
running time of no more than 30 hours, how long should
each machine run to produce an order of at least 2080 bolts
and 1520 nuts at the minimum operating cost?
this is applications of linear programming
Answer:
Math SMH
Step-by-step explanation:
2. French Vanitta K-Cups that originally
cost $5.99 are now on sale for $4.75.
Answer:
20.7% is the % decrease.
Step-by-step explanation:
If you are finding the % of decrease then see below.
% Decrease = (Original Cost - New Cost ) ÷ Original Cost × 100
5.99 - 4.75 = 1.24
1.24 ÷ 5.99 = .2070
.2070 × 100 = 20.7%
*6. This is a list of ingredients for making a pear & almond crumble for 4 people.
Ingredients for 4 people:
80 g plain flour
60 g ground almonds
90 g soft brown sugar
60 g butter
g
4 ripe pears
Jessica wants to make a pear & almond crumble for 10 people.
Here is a list of the amount of each ingredient Jessica has in her cupboard.
250 g plain flour
100 g ground almonds
200g soft brown sugar
150 g butter
8 ripe pears
Work out which ingredients Jessica needs to buy more of.
You must show all of your working.
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 attachedA large container holds 5 gallons of water. It begins leaking at a constant rate. After 15 minutes, the container has 2 gallons of water left. Part 1 At what rate is the water leaking? Express your answer as a positive value. 1 The water is leaking at the rate of gal/min. 5 Part 2 out of 2 How many minutes will it take for the container to go from full to empty? The container will be empty after minutes.
Answer:
.2 Gallons a minute
.2G/1m
25minutes until empty
Step-by-step explanation:
so the container lost 3 gallons in 15 minutes after that you changed it to how many minutes it took to lose 1 gallon by doing 15/3= 5
Now that you know 5/1 you divid 1/5 for an answer of 1/5 or .2 gallons a minute.
now you know that part two is easy
5/.2=25 which is the amount of times .2 gallon has to be removed from five and happens to also be the amount of minutes due to your solve from earlier.
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]
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；
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)
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
Select all proper fraction
A. 27/51
B. 12/13
C. 13/5
D. 1/4
E. 4\3
Answer:
A,B, and D!
Step-by-step explanation:
Hope this helps!! :))
Pretty please answer diss
Answer:15
Step-by-step explanation:
x=180-(110+55)=15
Which of the following choices can be considered binomial random variables?
Choose all answers that apply:
А
Flip a fair coin 5 times. Let T = the number of times the coin lands showing "heads"
Census data from 2010 showed that 50.8% of the US population was female. Select an SRS of 5
people from this population and let U = the number of females in the sample.
A certain bus is late to its final daily stop on 20% of days. Take an SRS of 5 days, and assume each
day is independent. Let V = the number of days the bus is late to its final stop.
Answer:
All three
Step-by-step explanation:
Hope this helps!
The answer choices that can be considered a binomial random variable are options A, B and C.
What is a binomial random variables?A binomial random variable is a variable that is used to count the frequency that a particular event occurs in a fixed number of trials.
The conditions for a binomial random variable include:
The observation fall into either a success or failure category with an equal chance of happening. There are a fixed number of observationsThe observations are indpendent.To learn more about binomial random variable, please check: https://brainly.com/question/17139967
3. What's the relationship between VO2max and cardiorespiratory exercise?
I
Answer:
A person's VO2max measurement is generally considered the best indicator of cardiovascular fitness and aerobic endurance. [ -is the relationship between VO2max and cardiorespiratory exercise. ]
Step-by-step explanation:
this is shoRT but helps
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
write each equation in standard form. 5/8x+3/4y= -1
Answer: 5x + 6y = -8
Step-by-step explanation: i believe this is the answer but i might be wrong, let me know. hope I helped!
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.
30 boys and 56 girls as a ratio
Answer:
30:56!
Step-by-step explanation:
since 30 boys is mentions first you can start it as that way
it helps me better and is way more efficient
