Complete question :
Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?
Answer:
10.9 miles per gallon
Step-by-step explanation:
Given that :
Odometer reading when filled up with gasoline = 23,568.7 miles
Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles
Miles per gallon gotten :
(Current Odometer reading - reading when filled up) / gallon of gasoline
(23706.3 - 23568.7) / 12.6
= 10.920634
= 10.9 miles per gallon
What is the equation for the line in slope-intercept form?
Answer:
y=mx+b is slope-intercept form
where m is the slope and b is the y intercept.
Since the line crosses the y axis at 0,0 the intercept is +0 or just nothing.
now all we need to do is find the slope
to do that just go from the y intercept (the first point) y units up and x units over untill u cross at the next point. for examples from (0, 0) to (1, 8)-the next point- i need to go up 8 units up and 1 unit over. this is described as rise over run and that is your slope 8/1 rise/run. rise is how many units i go up (or down) from the y intercept until the next point that lies on the line and run is how far i need to go over from how many units i just went up. If u continue to go 8 up and 1 over from each point u will see that u get a point lying of the line. This is why 8/1 is your slope
8/1 is the slope and 0,0 is your y intercept so we put nothing
the equation is y=8x
Step-by-step explanation:
Answer:
y=8x
Step-by-step explanation:
Pick two points (0,0) (2,16)
Then 16-0/2-0= 8
8 is the slope
The y intercept is 0 so
y=8x
Scores on a standard IQ test are normally distributed with a mean of 100 and a standard deviation of 15. To the nearest integer value, how high must you IQ be to fall within the top 5% of scores.
Answer:
25
Step-by-step explanation:
because I go it wrong and the quiz told me the answer was 25. Pog. I am just as confused.
Find the value of x that will make A||B.
А
B
4x
2x
x = [?]
Answer:
x = 30Step-by-step explanation:
4x + 2x = 180
6x = 180
x = 30
What is the length of of BC? with work pls help
Answer:
31
Step-by-step explanation:
Assuming the drawing is to scale
The triangle is equilateral according to measure, So the measure of angles A, B and C are the same and the lengths of sides AB, BC and BA are equalThere is very little information to go off, so the measurements are done with a ruler etc.With that in mind, this means AC=BC, ergo [tex]6x-5=4x+7[/tex] So, [tex]6x-4x=7+5[/tex] then [tex]x=6[/tex] Plugging that back into BC, we have [tex]4(6)+7=24+7=31[/tex]Mary needs to order pizza for 18 students. Each student should get 1/4 of a pizza. How many pizza's should Mary order? How many pizza will be left over?
Answer:
Mary should order 5 pizzas,a half of a pizza will be left over.
Step-by-step explanation:
Need this ASAP
What is the constant of proportionality in the equationy=2x
Answer:
2
Step-by-step explanation:
[tex]y = 2x \\ \\ \frac{y}{x} = 2 \\ equating \: it \: with \: \\ \frac{y}{x} = k \\ \\ k = 2 \\ \\ [/tex]
Hence, constant of proportionality = 2
What is 19/25 as a percent
Answer:
76%
Step-by-step explanation:
Take 19/25.
Multiply them by 4.
76/100
Turn into a percentage
76%
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 54 ounces and a standard deviation of 10 ounces. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 24 and 64 ounces? % c) What percentage of the widget weights lie below 74 ? %
Answer:
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 62 ounces and a standard deviation of 6 ounces. Use the Empirical Rule.
Step-by-step explanation:
Follow me.........
Hey could you help me with this: A machine pours 250 millilitres of juice every 4 seconds. How many litres of juice does the machine pour every minute?`
Answer:
15000
Step-by-step explanation
4x15=60
60x250=15000
The rate of the juice poured by the machine every minute is 10 liters.
What is the ratio of two numbers?The ratio of two numbers a and b can be written as a : b = a/b.
The ratio of two quantities is the unit rate of one quantity with respect to the other.
The total amount of juice poured by machine is 250 ml.
And, the time taken for that is 4 second.
In order to find the rate in liter per minute, convert the time in seconds to minutes and volume in liters as follows,
60 second = 1 minute
⇒ 1 second = 1/60 minute
⇒ 4 second = 4/160 = 1/40 minutes.
And, 1 liter = 1000 milliliter
⇒ 1 milliliter = 1/1000 liter
⇒ 250 milliliter = 250/ 1000 = 1/4 liter
Now, the rate of juice poured per minute is given as,
1/4 ÷ 1/40
⇒ 1/4 × 40
⇒ 10 liter per minute
Hence, the machine pour every minute 10 liter of juice.
To know more about ratio click on,
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Select the correct answer. Leeann works 20 hours per week and makes $15 per hour. What is her yearly pay? A. $10,100 B. $12,500 C. $15,600 D. $18,200
Answer:C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer would be C, It would be 300$ an hour and then you multiply that by the amount of weeks you get the number in C.
Inside of the triangle below has been extended to form an exterior angled 145°. find the value of X
Answer:
125
Step-by-step explanation:
90+145=235
360-235=125
Answer:
x=35
Step-by-step explanation:
Because with two angles making up one side of a straight line like that, their total will always be 280 degrees, Seein g that one of the angles is 145. 180-145= x or 35
If 1 and 2/3 cups of something fills 3/4 of a container, how many cups fill the container
Answer:
64
Step-by-step explanation:
-6x+9<25
14x-23<5x+13
Answer ASAP please !!!!!!!
Answer:
the answer is 0
Step-by-step explanation:
I know
Answer:
0 im a classic mathematical girli need help, i don't get this problem
7) What is the solution to the system of equations?
8) What is the solution to the system of equations?
9) Solve by using substitution and state the solution as an ordered pair. Show all of the steps used to determine the solution.
10) Solve by using substitution and state the solution as an ordered pair.
Photos attached
Answer:
A
C
D
Step-by-step explanation:
what is the solution to this equation: 7m to the 2 power + 6m - 1 = ?
Answer:
7m² + 6m - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining Like TermsStandard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define expression
7m² + 6m - 1
Step 2: Simplify
The expression cannot be simplified further.
bleh YwY
............
Answer:
UwU
OwO
Step-by-step explanation:
f(x) = 3x2 – 3x + 1
Find f(-2)
Answer:
f(-2) = 19
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 3x² - 3x + 1
f(-2) is x = -2
Step 2: Solve
Substitute: f(-2) = 3(-2)² - 3(-2) + 1Exponents: f(-2) = 3(4) - 3(-2) + 1Multiply: f(-2) = 12 + 6 + 1Add: f(-2) = 19The total cost of production of spare parts of computer is given as C=4000x-100x²+x³ where x is the number of units of spare parts produced so that the average cost will be maximum?
Answer: 50
Step-by-step explanation:
Ok, we have the equation:
C=4000x-100x²+x³
Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.
Then we will not have a maximum, because as x →∞, C(x) →∞.
By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).
Then let's do that:
The total cost for making x pieces is:
C(x) = 4000x-100x²+x³
Then the average cost, or the cost per piece, will be:
F(x) = C(x)/x = 4000 - 100*x + x^2
Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.
To find the minimum, we must look at the zeros of the first derivation of F(x):
F'(x) = dF(x)/dx = -100 + 2*x
The zero is when:
F'(x) = 0 = -100 + 2*x
100/2 = x
50 = x
Then the number of x that minimizes the average cost is x = 50.
Find the y-intercept, The equation of the x of symmetry and the x-coordinate of the vertex for 12.
Answer:
0, x=0, (0,0)
Step-by-step explanation:
f(x) =4x²
y-intercept is at (0,0) because there is no term with no variable
axis of symetry is x=0, because is the y-axis
x-coordinate of the vertex is 0 because the vertex is at (0,0)
Answer:
axis of symmetry-x=0
y-int-(0,0)
vertex-(0,0)
Step-by-step explanation:
Enter the value of the expression p(12+q)−3
p
(
1
2
+
q
)
−
3
when p = 4 and q=34
q
=
3
4
.
Answer:
=pq+12p
Step-by-step explanation:
p(12+q)
=(p)(12+q)
=(p)(12)+(p)(q)
=12p+pq
Answer:
Its 2
Step-by-step explanation:
Just did this, please give brainliest!
Please show work! Please and thank you!
Write the equation of the line that is perpendicular to y = -3x +2 and passes through
(3.1).
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[tex]y = \frac{1}{3} x \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let me know if you need explanation
A random sample of 2,000 driver's license applications found that 17% reported their eye color as blue. What is the margin of error for the sample? Round to the nearest tenth of a percent.
Answer:
1.646%
Step-by-step explanation:
Sample size (n) = 2000
Sample Proportion p = 17% = 0.17
α = 0.95
Margin of Error :
Z(1-α)/2 * √((p*(1 - p)) /n)
Z(1 - 0.95/2) * √((0.17 * (1 - 0.17) / 2000)
Zscore = 1.96
1.96 * √(0.1411/2000)
1.96 * √0.00007055
1.96 * 0.0083994
Hence,
1.96 * 0.0083994
= 0.0164628
= 0.0164628 * 100%
= 1.646%
The margin of error for the random sample 2,000 driver's license applications is 1.646%.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
It can be found out using the following formula.
[tex]MOE=Z_{\frac{\alpha}{2}}\times\left(\sqrt{p\times\dfrac{1-p}{n}}\right)[/tex]
Here, α is the level of significance, n is the sample size and p is the sample proportion.
A random sample of 2,000 driver's license applications found that 17% reported their eye color as blue.
Let level of significance is 0.05. At this level of significance the critical value of Z is 1.96. Put the values in the above formula as,
[tex]MOE=(1.96)\times\left(\sqrt{0.17\times\dfrac{1-0.17}{2000}}\right)\\MOE=0.01646\\MOE=1.646\%[/tex]
Thus, the margin of error for the random sample 2,000 driver's license applications is 1.646%.
Learn more about the margin of error here;
https://brainly.com/question/10218601
There are 134 Girl Scouts going camping each cabin can hold 8 girls. How many cabins will they need for all the Girl Scouts? Show all the work.
100000x559977332955 :)))))))))
Answer:
5.5997733e+16
Answer:
gsgdhxhdhhdbxbcbb ;)
Step-by-step explanation:
idkjwhdhdhhchchffh
the formula d= rt gives the distance traveled in time t at rate r. A bicyclist rides for 1.5 hours and travels 25 miles. what is the average rate of speed?
A. 26.5 miles per hour
B. 16.7 miles per hour
C. 23.5 miles per hour
D. 37.5 miles per hour
Using then given formula replace the letters with the given information.
25 miles = r x 1.5 hours
To find r divide both sides by 1.5:
R = 25/1.5
R = 16.7 miles per hour
The answer would be B.
Find the balance of an account after 7 years if &700 is deposited into an account paying 4.3% interest compounded monthly.
The required balance is $939.9
Given,
Time=7 years
Principal=700
Rate=4.3%
Compound Intrest:
Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
The formula of the compound interest is,
[tex]A=P(1+\frac{r}{100})^T[/tex]
Now, substituting the given values into the above formula we get,
[tex]A=P(1+\frac{r}{100})^T \\A=700(1+\frac{4.3}{100})^7\\ A=939.9[/tex]
Learn More about Compound Intrest:
https://brainly.com/question/21072972
5/12 as a whole number
Answer:
the answer is 0.41666666666
Answer:
when we convert 5/12 as whole number we get 0.41666666666
A gym membership went from 8700 to 6400. What expression equals the percent of change?
Answer:
(6400-8700)/(8700)*100
Step-by-step explanation:
percent of change = (new value - old value)/(old value) * 100
percent of change = (6400 - 8700)/(8700) * 100
