A taxi service charges you $1.50 plus $0.60 per minute for a trip to the airport. The distance to the airport is 10 miles, and the total charge is $13.50
How many minutes did the ride to the airport take?
Answers
Answer:
20 minutes
Step-by-step explanation:
The question can be shown like so, 1.5+0.6x
Since the total charge was 13.5, you can write an equation
13.5=1.5+0.6x
Simplify using property of subtraction
13.5 - 1.5= 1.5 - 1.5 + 0.6x
12 = 0.6x
Simplify using property of division
12/0.6= 0.6x/0.6
x=20
Related Questions
What is the solution to the following system of equations?
2 x + 3 y = 6
x + y = 4
The solution of the system of equations is x = ___, y = ___.
Answers
Answer:
x = 6 , y= -2
Step-by-step explanation:
=1 ( 2x + 3y =6)
2( x+y=4)
2x+3y =6 (1)
2x+2y = 8 (2)
by eq 1 and 2 using elimination method
y = -2
putting y in eq 2
2x + 2(-2)=8
2x -4 =8
2x =8+4
2x=12
x= 6
Answer:
x = 6 , y = -2
Step-by-step explanation:
2 x + 3 y = 6 (Equation 1)
x + y = 4 (Equation 2)
Solving by substitution :
(Equation 2) ⇒ y = 4 - x
Substitute y by 4 - x in (equation 1) :
2 x + 3 (4 - x) = 6
Then
2 x + 12 - 3x = 6
Then
12 - x = 6
Then
12 - 6 = x
Then
x = 6
We obtain :
y = 4 - x and x = 6
Then
y = 4 - 6
= -2
what is the value 8n when n = 2
Answers
Answer:
8n=16when n=2
Step-by-step explanation:
8n
8 (2)
=16
what is the value of 64 ⅔ ?
Answers
Answer:16
explanation:
=64⅔
=(4)3×⅔(there is 3 and 3 will be cancel)
=(4)²(4²=4×4)
=16 Ans
What is the equation of the line that passes through the point (-5,-3)and has a slope of -3/5 ?
Answers
Answer: y = -3/5x - 6
Step-by-step explanation:
There are a few equations that can be used for this, but the simplest one would be y = mx + b
We are given:
y = -3
m = -3/5 (slope)
x = -5
b = ?
Our equation is this, we are solving for b
==> -3 = -3/5 ( -5) + b
==> -3 = -3/5 ( -5) + b ( multiply the brackets)
==> -3 = 3 + b ( subtract 3 to both sides)
==> -6 = b
Now we can make the desired equation in slope intercept form;
y = -3/5x - 6
Hope this helped! Have a great day :D
Which equation has a slope of –52 and a y-intercept of –2?
A. –5x – 2y = –4
B. –5x – 2y = 4
C. 5x + 2y = 4
D. 5x + 2y = –4
Answers
Answer:
I'm sure there might be a typo in the question (AKA the slope is -5/2)
but the answer would be
D
Step-by-step explanation:
y= mx+ b
where m is the slope, and b is the y intercept
y= -52x -2
..........
5x + 2y = –4
2y= -5x -4
y= - 5/2x -2
\(y = - \frac{5}{2} x - 2\)
What is the y-intercept of 3x+5y=−30 ?
(0,−6)
(−6,0)
(10,−6)
(0,10)
Answers
Answer: (0,-6)
Step-by-step explanation:
To find the y-intercept, we can rewrite the equation into slope-intercept form.
3x+5y=-30 [subtract both sides by 3x]
5y=-3x-30 [divide both sides by 5]
y=-3/5x-6
Now that the equation is in slope-interceot form, we know that the y-intercept is -6, we know that the answer is (0,-6).
Differential equation
Solve the IVP: y'' - 7y' +10y = 9e5t, y(0) = 1, y'(0) = 0. - -
Answers
The solution to the given initial value problem is y(t) = (11/5)e^(2t) + (4/5)e^(5t) + (9/25)e^(5t).
The given initial value problem (IVP) can be solved by using the method of undetermined coefficients. First, we find the complementary solution by solving the associated homogeneous equation: y'' - 7y' + 10y = 0. The characteristic equation is r^2 - 7r + 10 = 0, which factors as (r - 2)(r - 5) = 0.
Therefore, the complementary solution is y_c(t) = c1e^(2t) + c2e^(5t), where c1 and c2 are constants. For the particular solution, we assume y_p(t) = Ae^(5t), where A is a constant to be determined. Plugging this into the original equation, we get 20Ae^(5t) - 35Ae^(5t) + 10Ae^(5t) = 9e^(5t). Solving for A, we find A = 9/5. Hence, the particular solution is y_p(t) = (9/5)e^(5t).
Finally, the general solution is y(t) = y_c(t) + y_p(t) = c1e^(2t) + c2e^(5t) + (9/5)e^(5t). Using the initial conditions, we can solve for c1 and c2 to obtain the unique solution.
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a photograph is 5 inches by 8 inches. a frame shop charges $3.00 per inch for a silver frame. how much would it cost to buy a silver frame for the photograph?
Answers
Answer: The total cost for the frame is $78.00
Step-by-step explanation:
Photograph size = 5 inches x 8 inches
Perimeter = 5 + 5 +8 + 8
Perimeter =26 inches
Cost = $3.00 / inch for a silver frame
Total frame cost = 26 inches x $3.00 = $78.00
Please remember to vote this answer as Brainliest if I earned it!
Please answer this question now
Answers
Answer:
66 degrees
Step-by-step explanation:
WV is the radius and WX is a tangent, so angle W is 90 degrees. So, 90+24=114 and 180-114 is 66.
Hope this is helpful! :)
There’s an online calculator you can use for those types of problems
In a survey, 27% of the people chose salads over a meat dish. In all, 81 people chose salads. How many people were in the survey?
Answers
Answer:
300
Step-by-step explanation:
Let x be the number of people in the survey
81/x = 27%
81/x = 0.27
x = 81/0.27
x = 300
An icecream shop has 10 flavors. One can choose 4 different
flavors. What is the total number of possible flavor
combinations?
a.
252
b.
462
c.
120
d.
330
e.
210
2.
Answers
An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.
In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.
Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors
.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).
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Somebody help pls I need help with this
Answers
Answer:
Step-by-step explanation:140
Explanation:
If 1 inch equals 7 miles than simply multiply 7 x 10 and that equals 70.
Hope this helps!
Alvin and Simon shared £540 in the ratio 4:5
Alvin gave half of his share to Theo.
Simon gave a tenth of his share to Theo.
What fraction of the £540 did Theo receive?
Answers
Answer:
5/18
Step-by-step explanation:
540/9=60
60x4=240(Alvin's money)
60x5=300(simon's money)
Alvin gives half so you divide 240 by 2 which is 120
Simon gives a tenth so you divide 300 by ten which is 30
120+30=150
150/540=5/18 ( simpliest form)
Theo have 5/18 fraction of total amount of money.
Given that, Alvin and Simon shared £540 in the ratio 4:5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, 4+5=9
So, share of Alvin = 4/9 × 540
= 4 × 60
= £240
Then Simon share = 540-240 = £300
Theo's share = 1/2 × 240
=£120
Theo's share 1/10 of 300
=1/10 × 300
=£30
Total Theo's share = 120+30 =£150
Now, fraction = 150/540
=5/18
Therefore, Theo have 5/18 fraction of total amount of money.
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please me proportional or nonproportal
Answers
Answer:
looks proportional to me
Step-by-step explanation:
Answer:
Proportional
Step-by-step explanation:
Direct proportion:
y = kx
1*4 = 4
2*4 = 8
3*4 = 12
Given values in the table satisfy the equation of direct proportion. So, it is a direct proportion.
the area of a circular trampoline is 112.07 square feet
Answers
The required answer is the approximately 5.98 feet.
The area of a circular trampoline is given as 112.07 square feet.
To find the radius of the trampoline,
area of a circle:
A = πr^2
where A is the area and r is the radius of the circle.
To find the radius,
r = √(A/π)
Substituting the given area, we have:
r = √(112.07/π)
Now, calculate the value of the radius using a calculator or estimation. the value of π to be approximately 3.14:
r = √(112.07/3.14)
r ≈ √(35.70675)
r ≈ 5.98
Therefore, the radius of the circular trampoline is approximately 5.98 feet.
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10. Higher Order Thinking Winston compares the heights of two plants
to see which plant grows more per day. The table shows the height
of Plant 1, in centimeters, over 5 days. The graph shows the height
of Plant 2, in centimeters, over 10 days. Winston says that since
Plant 1 grows 6 cm per day and Plant 2 grows 4 cm per day,
Plant 1 grows more per day.
Plant 1
Days
2 3 4 5
Height (cm) 6 9 12 15
a. Do you agree with Winston? Explain your response.
b. What error might Winston have made?
Height (cm)
Answers
Answer:
b what error Winston have made in height
Megan increases 600 by 10%.
She then decreases the result by 10%
What is her final number?
Answers
Answer:
Her final number is 594.
Step-by-step explanation:
Increase 600 by !0%:
0.1 * 600 = 60
600 + 60 = 660
Decrease result by 10%:
0.1 * 660 = 66
660 - 66 = 594
549
Find the equation for a polynomial f(x) that satisfies the following:Degree 3- Zero at x =- Zero at 2 = -4- Zero at x = -3y-intercept of (0,12)
Answers
SOLUTION
We want to get a degree 3 polynomial with zeros at
\(\begin{gathered} x=-3 \\ x=-4 \\ x=-3 \\ \text{and y-intercept of (0, 12)} \end{gathered}\)This polynomial can be interpreted as
\(\begin{gathered} x+3=0 \\ x+4=0 \\ x+3=0 \end{gathered}\)Writing as a function we have
\(\begin{gathered} y=a(x+3)(x+4)(x+3)_{} \\ y=a(x+3)(x+3)(x+4)_{} \\ y=a(x+3)^2(x+4) \end{gathered}\)So, now we need to find the value of a from the point (0, 12), so here x = 0 and y = 12, we have
\(\begin{gathered} y=a(x+3)^2(x+4) \\ 12=a(0+3)^2(0+4) \\ 12=a(3)^2(4) \\ 12=a\times9\times4 \\ 12=36a \\ a=\frac{12}{36} \\ a=\frac{1}{3} \end{gathered}\)Placing the value of a into the equation
\(y=a(x+3)^2(x+4)\)We have
\(undefined\)The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y > −2x + 10 y > 1/2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
answer:
a) E
b) K
c) B
d) D
Answers
Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.
To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.
a) Point E at (4, -2):
Substituting the coordinates into the inequalities:
-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)
-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)
b) Point K at (2, 3):
Substituting the coordinates into the inequalities:
3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)
3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)
c) Point B at (4, 7):
Substituting the coordinates into the inequalities:
7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)
7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)
d) Point D at (-7, 1):
Substituting the coordinates into the inequalities:
1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)
1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)
Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.
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The area of a rectangle is 8811m if the width of the garden is 89 m what’s the length
Answers
The length of the garden is 99 m.
What’s the length?The formula for the area of a rectangle is:
Area = Length x Width
We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:
8811 \(m^{2}\) = Length x 89 m
To solve for the length, we can divide both sides of the equation by 89 m:
Length = 8811 \(m^{2}\) / 89 m
Simplifying, we get:
Length = 99 m
Therefore, the length of the garden is 99 m.
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1945 men and 2849 women regiter to audition for a inging competition. The number of participant who are not ucceful in their audition what’ five time the number of thoe who are ucceful. How many participant were ucceful
Answers
1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799 participants were successful.
The successful participants can be calculate by solving a linear equation as follows
First, it's crucial to understand linear equations.
Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.
Linear equations are those with one degree.
In this case, a linear equation must be resolved.
1945 for the men's total
Women are present in 2849.
Participants in total: 1945 + 2849 = 4794
Let x be the proportion of participants that were successful.
Men who failed were 5 times as numerous.
Participants in total: 5x + x = 6x
Due to the issue,
The linear formula is
6x = 4794
x = 4794/6
x = 799
799 of the participants had success.
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1) Tommy mows lawns and cleans pools during the summer. He earns $20 per lawn and $9 per
pool. He needs $1500 to buy a car from his friend. If Tommy plans to mow 41 lawns this
summer, how many pools must he clean to earn at least $1500?
Answers
Answer:
Step-by-step explanation:
\(20L+9P\ge 1500,\ L=41\\ \\ 20(41)+9P\ge 1500\\ \\ 820+9P\ge 1500\\ \\ 9P\ge 680\\ \\ P\ge 75.6\\ \\ P=76\)
Maria flipped a coin 60 times, and the coin came up tails 32 times.
What is the relative frequency of the coin turning up heads in this experiment? Answer choices are rounded to the hundredths place.
0.47
2.14
1.88
0.53
Answers
The relative frequency of the coin turning up heads in this experiment is 0.47
First, let's determine the number of times the coin came up heads. Maria flipped the coin 60 times, and it came up tails 32 times. Therefore, it came up heads 60 - 32 = 28 times. Now, let's calculate the relative frequency of the coin turning up heads. The relative frequency is the ratio of the number of times an event occurs to the total number of trials.
In this case, the relative frequency of heads is the number of times the coin came up heads (28) divided by the total number of flips (60). So, the relative frequency of heads is: Relative frequency of heads = 28 / 60 = 0.4666...
Now, let's round our answer to the hundredths place, as indicated in the question: 0.4666... ≈ 0.47
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which is a valid proportion
3/4 = 21/28
5/6 = 29/30
4/7 = 16/49
2/5 = 12/15
Answers
Answer: Number 1: 3/4 = 21/28
Need any more help? I am usually available mon - fri 9 a.m. to 3:50 p.m.
I need help ASAP
Geometry
Answers
Answer:
b
Step-by-step explanation:
the figure of the statement shows ECD, 1/2 -m = ECB= m>
B.......
Explanation: worked out in my head
Use the explicit formula an=a1+(n-1)•d to find the 300th term of the sequence below 57,66,75,84,93
Answers
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The value of the nth term of the sequence will be 2748.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
\(a_n = a_1 + (n-1)d\)
where d is the difference and a₁ is the first term of the sequence.
For the given arithmetic series, the first term of the series is 57.
The value of difference, d can be written as,
d = 66 - 57 = 9
The 300th term of the sequence can be written as,
a₃₀₀ = 57 + (300-1)•9
a₃₀₀ = 2748
Hence, the value of the nth term of the sequence will be 2748.
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Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For example, the first data pair states that 5% of all fatal accidents of 37-year-olds are due to failure to yield the right of way.
x 37 47 57 67 77 87
y 5 8 10 18 31 42
Predict the percentage of all fatal accidents due to failing to yield the right of way for 75-year-olds. (Round your answer to two decimal places.)
Answers
The predicted percentage of all fatal accidents due to failing to yield the right of way for 75-year-olds is [predicted percentage].
How to find the predicted percentage of fatal accidents for 75-year-olds?To predict the percentage of all fatal accidents due to failing to yield the right of way for 75-year-olds by Linear regression, we can analyze the relationship between age (x) and the percentage of accidents (y) from the given data pairs.
By observing the pattern and trend in the data, we can make an estimation for the missing age value.
Based on the provided data pairs, as the age increases, the percentage of accidents due to failure to yield the right of way also tends to increase.
We can assume a linear relationship between age and the percentage of accidents and use linear regression to make a prediction.
Using linear regression techniques, we can fit a line to the given data points and extend it to estimate the percentage for 75-year-olds.
By interpolating the line, we can determine the predicted percentage of fatal accidents due to failing to yield the right of way for 75-year-olds.
It's important to note that the accuracy of the prediction depends on the assumption of linearity and the representativeness of the available data.
Additionally, other factors not considered in this analysis may also influence the percentage of accidents at different ages.
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Find the area of the trapezoid.A trapezoid with the top base labeled six meters and the bottom base labeled four meters. The height is labeled six meters.
Answers
Given: The dimension of a trapezoid as shown below
\(a=6m,b=4m,h=6m\)To Determine: The area of the given trapezoid
Solution
The formula for finding the area of a trapezoid is
\(A_{\text{rea}}=\frac{1}{2}(a+b)h\)Substitute the given into the formula
\(\begin{gathered} A_{\text{rea}}=\frac{1}{2}(4+6)\times6 \\ A_{\text{rea}}=\frac{1}{2}(10)\times6=30m^2 \end{gathered}\)Hence, the area of the trapezoid is 30m²
Calcula la suma de las longitudes de los catetos, si la hipotenusa mide 15 u y la altura relativa a ella mide 6 u.
UwU
Answers
Answer:
9 sqrt(5)
Step-by-step explanation:
La altura relativa a la hipotenusa corta la hipotenusa en dos segmentos.
Defina x como
x = la longitud de uno de esos segmentos
Entonces, la longitud del otro segmento = 15 - x.
Entonces, por el teorema, tenemos que (15-x) (x) = 36, de modo que
15x - x ^ 2 = 36
x ^ 2 - 15x + 36 = 0
(x-3) (x-12) = 0
Entonces, x = 3 o x = 12.
Sin pérdida de generalidad. sea x = 3.
Entonces, la suma de las dos piernas es
raíz cuadrada (6 ^ 2 + 3 ^ 2) + raíz cuadrada (12 ^ 2 + 6 ^ 2) =
raíz cuadrada (36 + 9) + raíz cuadrada (144 + 36) =
raíz cuadrada (45) + raíz cuadrada (180) =
raíz cuadrada (9 * 5) + raíz cuadrada (36 * 5) =
3 raíz cuadrada (5) + 6 raíz cuadrada (5) =
9 cuadrados (5)
Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Answers
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
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