I need answer ASAP: You are running a fuel economy study. One of the cars you find is blue. It can travel 40 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 22 2/5 miles on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on of gasoline?
Answers
Answer:
Blue: 32.4 mpg
Red: 28 mpg
The Blue car will travel farther on a gallon of gasoline
Step-by-step explanation:
Blue: 40.5/1.25=32.4 mpg
Red: (22 2/5)/(4/5) =22.4/0.8=28 mpg
Related Questions
x^2+4*x-9
Give answer in surfs please
Answers
Help ! ASAP ! I need this done !
Answers
Answer:
B. K = 5
Step-by-step explanation:
Is parallelogram PQRS a rhombus?
Q
P
T
R
☆
S
Answers
Answer:
I believe yes.
Step-by-step explanation:
Find the absolute maximum and minimum for the given graph. Give your answer as an ordered pair. 4 3 -5 -4 -3 12 1 2 3 -2 -3 Y4 Absolute maximum: Absolute minimum:
Answers
Absolute maximum: (0,4) Since it is the highest point in the interval.
Absolute minimum: (-3,-5) Since it is the lowest point in the interval.
When the sample of participants is reflective of the characteristics of the population, it is said to be?
Answers
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
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Write each equation in standard form.
Y - 4 = -3 (x - 3)
Y + 9 = 2(x + 5)
Answers
y-4=-3(x-3)
y-4=-3x+9
y=-3x+9+4
y=-3x+13
y+9=2(x+5)
y+9=2x+10
y=2x+10-9
y=2x+1
I’m
for the demand function, q=-5p 1200, determine the price p, that maximizes revenue
Answers
The price that maximizes revenue is p = 120.
The price that maximizes revenue, we need to find the value of price (p) that corresponds to the maximum value of revenue (R). Revenue is calculated by multiplying the quantity (q) sold by the price (p), so we can express revenue as R = p × q.
Given the demand function q = -5p + 1200, we can substitute this expression for q into the revenue equation:
R = p × q
R = p × (-5p + 1200)
To find the price that maximizes revenue, we can take the derivative of the revenue function with respect to price (p), set it equal to zero, and solve for p.
dR/dp = -10p + 1200 = 0
Solving this equation for p:
-10p + 1200 = 0
-10p = -1200
p = -1200 / -10
p = 120
Therefore, the price that maximizes revenue is p = 120.
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A gardener made a scale drawing of a lawn with a scale factor of 1:10. The
dimensions of her drawing are 7 inches long by 3 inches wide. Her partner plans
to make another scale drawing of the lawn, but with a scale factor of 1:2.
What are the dimensions of her scale drawing?
5 of 16 QUESTIONS
The length is 0.6 inch and the width is 1.4 inches.
The length is 15 inches and the width is 35 inches.
The length is 35 inches and the width is 15 inches.
The length is 1.4 inches and the width is 0.6 inch
SUB
Answers
Answer:
The length is 35 inches and the width is 15 inches.
Step-by-step explanation:
First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.
Now, we have to divide this in the ratio 1:2, which gives
The length of 35 inches and the width of 15 inches.
Hope this helps
Answer:
Your answer is 3 or C.. 35 inches and width of 15 :)
Step-by-step explanation:
i need help beacuse im not smart
Answers
Answer:
4/10
Step-by-step explanation:
Since the denominators are the same, add the numerators (3 + 1)
and you are smart
The Highest Common Factor (HCF) of 48 and 72 is
Answers
Answer:
24
Step-by-step explanation:
because 24 is the highest between those two
Answer:
24
Step-by-step explanation:
GCF of 48 and 72 Examples
Therefore, the greatest common factor of 48 and 72 is 24.
suppose the drain is opened on a tub containing 34 gallons of water. water drains out of the bathtub at a rate of 4 gallons per minute. however, the tap wasn't closed properly, so water is still flowing into the tub at a rate of 0.3 gallons per minute. how many minutes will it take for the tub to empty?
Answers
The time taken for the tub to empty is approximately 9.18 minutes.
Suppose the drain is opened on a tub containing 34 gallons of water.
Water drains out of the bathtub at a rate of 4 gallons per minute.
However, the tap wasn't closed properly, so water is still flowing into the tub at a rate of 0.3 gallons per minute. How many minutes will it take for the tub to empty.
Solution:
We are given:
Initial quantity of water = 34 gallons.
Water flowing out of the tub = 4 gallons/minute.
Water flowing in to the tub = 0.3 gallons/minute
We need to find: Time taken for the tub to empty.
Let us assume that the time taken for the tub to empty is t minutes.
Now, the water that is still present in the tub is (34 - 4t + 0.3t) gallons.
Let us set this expression equal to zero to find the time taken for the tub to empty.
34 - 4t + 0.3t = 0
Simplifying, 34 - 3.7t = 0 or 3.7t = 34 or t = 34/3.7t ≈ 9.18.
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write the definition of a function named oneless, which receives an int argument and returns an int that is one less than the value of the argument. so if the argument's value is 7, the function returns the value 6. if the argument's value happens to be 44, the functions returns the value 43.
Answers
The one less function is defined as a function that accepts an integer argument and returns an integer value, which is one less than the input argument. For example, if the input is 7, the function returns 6, and if the input is 44, the function returns 43.
To define a function named "one less" that receives an int argument and returns an int that is one less than the value of the argument, you can write:
```
def oneless(num: int) -> int:
return num - 1
```
This function takes an integer argument "num" and returns the result of subtracting 1 from it. So if you call the function with the argument 7, it will return 6, and if you call it with argument 44, it will return 43.
The oneless function is defined as a function that accepts an integer argument and returns an integer value, which is one less than the input argument. For example, if the input is 7, the function returns 6, and if the input is 44, the function returns 43.
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twice a number increased by 4 is at least 10 more than the number
Answers
Answer:
(x^2+4)+10
Step-by-step explanation:
i think
on average, 12 customers use the bank's atm during the noon lunch hour. what is the probability that exactly 10 customers will use the atm during the next noon lunch hour? assume the poisson distribution applies.
Answers
The probability that exactly 10 customers will use the atm during the next noon lunch hour is 0.0948
How to determine the probability the number of customers is 10From the question, we have the following parameters:
Average number of customers = 12
Number of customers = 10
The above parameters means that:
x = 10
λ = 12
The probability of a Poisson distribution is represented as
P(x) = λˣe⁻λ/x!
This gives
P(x = 12) = 10¹² * e⁻¹⁰/12!
Evaluate
P(x = 12) = 10¹² * e⁻¹⁰/479001600
Solving further, we have
P(x = 12) = 0.0948
Hence, the probability is 0.0948
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Matthew makes a series of payments at the beginning of each year for 20 years. The first payment is 100. Each subsequent payment through the tenth year increases by 5% from the previous payment. After the tenth payment, each payment decreases by 5% from the previous payment. Calculate the present value of these payments at the time the first payment is made using an annual effective rate of 7%.
Answers
The total present value of these payments at the time the first payment is made is 1,735.85 (747.26 + 988.59).
To calculate the present value of these payments, we need to use the formula for the present value of an annuity:
\(PV = (P/i) x [1 - (1+i)^-n]\)
Where:
P = payment amount
i = annual effective rate
n = number of payments
Using this formula, we can calculate the present value of the first 10 payments:
\(PV = (100/0.07) x [1 - (1+0.07)^-10] = 747.26\)
To calculate the present value of the remaining 10 payments, we need to first calculate the payment amounts. To do
this, we can use the following formula:
\(Pn = P1 x (1 + g)^n\)
Where:
Pn = payment in year n
P1 = first payment amount
g = growth rate
n = number of years since first payment
For the 11th payment:
\(P11 = 105 x (1 + 0.05)^1 = 110.25\)
For the 12th payment:
\(P12 = 110.25 x (1 + 0.05)^1 = 115.76\)
And so on, until the 20th payment:
\(P20 = 163.32 x (1 - 0.05)^8 = 79.24\)
Now we can calculate the present value of these payments:
PV = \((110.25/0.07) x [1 - (1+0.07)^-10] + (115.76/0.07) x [1 - (1+0.07)^-9] + ... + (79.24/0.07) x [1 - (1+0.07)^-1]\)
PV = 988.59
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What is the equation of the line through the point (O, 4) with slope of 2?
Answers
data from central hudson labs determined the mean number of insect fragments in 225-gram chocolate bars was 14.4, but three brands had insect contamination more than twice the average. assume the number of fragments (contaminants) follows a poisson distribution. (a) if you consume a 225-gram bar from a brand at the mean contamination level, what is the probability of no insect contaminants?
Answers
The probability of finding 0 contaminated pieces in 225 g of chocolate is 5.57 X 10⁻⁷.
Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.
Hence we get X ~ Poi(λt)
where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.
For P(X = x) we get [(λt)ˣ e^(-λt)]/x!
Here λ = 14.4 and t = 1 Hence we will get
P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!
Here we need to find the probability of the no. of contaminated pieces = 0
Therefore
P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!
Hence the probability of finding 0 contaminated pieces in a bar of chocolate is
P(X = 0) = e⁻¹⁴°⁴
= 5.57 X 10⁻⁷
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in a bag of marbles, 1 2 are red, 1 4 are blue, 1 6 are green, and 1 12 are yellow. you pick a marble without looking. what color marble are you most likely to choose?
Answers
13.
A?
B?
C?
D?
I’ll check back in whoever is correct here brainlest <3 ignore the stuff at the bottom
Answers
Answer:
A
Step-by-step explanation:
\(\huge \sf༆ Answer ༄\)
Let's solve ~
\( \sf {x}^{2} - 10xy + 21 {y}^{2} \)\( \sf {x}^{2} - 7xy - 3xy + 21 {y}^{2} \)\( \sf x(x - 7y) - 3y(x - 7y)\)\( \sf( x - 7y)(x - 3y)\)Hence, the correct choice is ~ A
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then
she used the graphing tool to find the equation of the line of best fit:
y = -29 202x + 293.5.
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice cubes?
A. 10
B. 89
C. 118
D. 208
Answers
89.086 milliliters of juice will be in a glass with 7 ice cubes.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Equation of line: y = -29 202x + 293.5.
So, for 7 ice cubes i.e., x= 7
The amount of juice is
y= -29.202 (7)+ 293.5
y= -204.414+ 293.5
y= 89.086
Hence, the juice is 89.086 milliliters
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Write the equation of the line that is parallel to the given segment and that passes through the point (-3,0).
A. y=-3x + 9
B.
-1
y = -X-1
3
C.
1
y=-x+1
D. y = 3x - 1
Answers
Answer:
Option (B)
Step-by-step explanation:
In the figure attached,
A straight line is passing through two points (0, 2) and (3, 1).
Slope of this line (\(m_1\)) = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{2-1}{0-3}\)
= \(-\frac{1}{3}\)
Let the slope of a parallel to the line given in the graph = \(m_2\)
By the property of parallel lines,
\(m_1=m_2\)
\(m_2=-\frac{1}{3}\)
Equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of the parallel line which passes through (-3, 0) and having slope = \(-\frac{1}{3}\) will be,
\(y-0=-\frac{1}{3}(x+3)\)
\(y=-\frac{1}{3}x-1\)
Option (B). will be the answer.
What is the equation of this line?
A: y=-2x
B: y = ½x
C: y = -½x
D: y = 2x
Answers
Answer:
D
Step-by-step explanation:
when x=1, y should = 2
2(1)=2
so y=2x is correct
Lydia invests $1000 in an account that pays
5.25% compounded daily. Gabrielle invests the
same amount of money in an account that pays
5.25% compounded semi-annually instead.
Lydia makes more money in 3 years, but how
much more does she make?
Answers
Lydia earns $52.5 more than Gabrielle after 3 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
we can use the formula for compound interest:
\(A = P(1 + r/n)^n^t\)
where A is the final amount,
P is the principal (initial investment),
r is the annual interest rate (as a decimal),
n is the number of times the interest is compounded per year, and
t is the number of years.
For Lydia (n=365)
A=1000(1+0.0525/365)¹⁰⁹⁵
A=1115.7
For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):
A = 1000(1 + 0.0525/2)⁶
A = 1000(1.0265625)⁶
A = 1168.2
To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:
1168.2- 1115.7 = 52.5
Hence, Lydia earns $52.5 more than Gabrielle after 3 years.
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3. Determine the percent of each quantity.
a. 7% of 80
c. 12% of 320
b. 15% of 55
d. 8% of 300
Answers
Answer:
a. 5.6
b. 38.4
c. 8.25
d. 24
Step-by-step explanation:
which expression is equivalent to 16+2 times 36
Answers
Answer:
648
Step-by-step explanation:
Polygons in the coordinate
Answers
In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.
How to know if it's a triangleFind the lengths of the three sides of the triangle using the distance formula.
Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.
If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.
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Each year, roughly 100 computer programmers each make about $
105. How much money is this all together? Express your answer both
as a power of 10 and as a dollar amount.
Answers
1.Type the missing number to complete the proportion.
5 pages in 1 day = ___________ pages in 7 days.
2.Type the missing number to complete the proportion.
7 chairs at 1 table = ___________ chairs at 9 tables.
3.Type the missing number to complete the proportion.
51 students fit on 1 bus = ___________ students fit on 8 buses.
Answers
Answer:
1. 35 pages in 7 days
2. 63 pages in 9 tables
3. 408 student on 8 buses
Step-by-step explanation:
solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
44.4
Step-by-step explanation:
Sin=opposite/hypotenuse
Sin40=x/69
x=69sin40
x=44.4 rounded from 44.352
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
Um I'm just guessing
Step-by-step explanation:
2)congruent
3)noncongruent
4)noncongruent
5)noncongruent
6)congruent
7)noncongruent
8)noncongruent
9)noncongruent
10)congruent
my answers might have a high chance it is incorrect but maybe this might still help give a hint or small step on solving the problem?