Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $0.50 per mile. The total fare was $9.60, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Answers
Here we must write and solve a linear equation to find the number of miles that Eva traveled in the taxi. We will find that Eva traveled 11 miles.
So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.
So if you travel for m miles, the cost equation is:
C(m) = $4.10 + $0.50*m
Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:
$9.60 = C(m) = $4.10 + $0.50*m
$9.60 = $4.10 + $0.50*m
$9.60 - $4.10 = $0.50*m
$5.50 = $0.50*m
$5.50/$0.50 = m = 11
This means that Eva traveled 11 miles in the taxi.
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Answer:
11
Step-by-step explanation:
Related Questions
Is x=−10 a solution to the equation 28x+17=157?
Answers
Answer:
no
Step-by-step explanation:
28x+17=157 Subtract 17 on both sides.
-17 -17
28x=140
x=5
5 does not equal -10, so -10 is not a solution to the equation 28x+17=157.
Hope this helps!! Have a great day :)
A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an equation that shows the relationship between the elevation of the feather, y, and the number of seconds it has been falling, x
Answers
The question is an illustration of a linear function, and the equation that represents the function is [tex]y =-2x +10[/tex]
A linear function is represents as: y = mx + c, where:
m represents the slope or rate c represents the y-interceptIn this case, we have:
[tex]m = -2[/tex][tex]c = 10[/tex]So, the equation becomes
[tex]y =-2x +10[/tex]
Hence, the equation of the function is [tex]y =-2x +10[/tex]
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on a map where each unit represent one kilometer, two marainas are located at p(4,2) and Q(8,12). if a boat travels in a straight line from one marina to the other, how far does the boat travel?
Answers
Answer: 5 kilometers.
Step-by-step explanation:
What does 33y mean if y is 18?
Answers
Answer:
it means you replace y with 18 so
33(18)
so 33*18=594
Hope This Helps!!!
Answer:
594
Step-by-step explanation:
33y
33(18)
33 x 18 = 594
Helppp pleaseeee !!!
Answers
Answer:
Solution is (x+7)(x+8)
Step-by-step explanation:
1) Find what 2 numbers multiply to 56 (c value) and add to 15 (b value)
2) (x+7)(x+8)
I personally was taught this method and am unfamiliar with with the method shown on the worksheet. If my way is unclear, please feel free to ask any more questions you have.
this question is hard
Answers
A) Total number of old plans = 3500 + 4700 = 8200
In the new month, the unlimited plans increased by 55%, which adds
0.55 • 3500 = 1925
unlimited plans, while the limited plans decreased by 25%, which subtracts
0.25 • 4700 = 1175
limited plans. Then
Total number of new plans = (3500 + 1925) + (4700 - 1175) = 8950
which corresponds to a percent change of
(8950 - 8200)/8200 ≈ 0.0915 = 9.15%
That is, percent change is given by
(new value - old value) / (old value)
B) The percent change is positive, so it's a percent increase.
Given f(x) = 3x+5x and g(x) = sqrt x+ 4
find f(g(12))
Answers
Answer:
Below in bold.
Step-by-step explanation:
g(12) = √12 + 4
so f(g(12))
= 3(√12 + 4) + 5(√12 + 4)
= 8(√12 + 4)
= 59.71 to nearest hundredth.
simplify an expression for the perimeter of the rectangle
Answers
6w+10w-4
16w-4
16w-4
Hope this helps!!
The expression for the Perimeter of rectangle is 16w-4.
What is perimeter of rectangle?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Perimeter of the rectangle = 2(length+width)
Given the paramters are;
length = 5w-2
width = 3w
Perimeter of the rectangle = 2(length+width)
Perimeter = 3w+3w+(5w-2)+(5w-2)
= 6w+10w-4
= 16w-4
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Solve the inequality f – 4 ≤ 9 for f
help me.
Answers
Answer:
13
Step-by-step explanation:
Have a great day!! :)
Find the slope of the line segment shown.
A) -1/2
B -1
C 1/3
D 1
Answers
Answer:
D)
Step-by-step explanation:
The answer would be D. The slope of a line is how fast it climbs. Height divided by base. Up divided by over. Thus, if it goes across 3 and up 1, its slope would be 1/3. If it goes across 1 and up 2, the slope is 2. If it goes across 1 and up -1, the slope is -1.
HOPE THAT HELP YOU MARK ME BRINILYLIST
Solve if x is equal to 4. y = 2x
Answers
if x=4 then the equation would be y=2(4)
2(4)=8
Translate and solve. The quotient of m and 6/7 is 5/6
Answers
Answer:
m / 6/7 = 5/6
m = 35
Step-by-step explanation:
Answer:
m = 5/7Step-by-step explanation:
The quotient of m and 6/7 is 5/6:
m ÷ 6/7 = 5/6m = 5/6 × 6/7m = 5/7Find the equation of a line that passes through the point (1,4) and has a gradient of -4.
Leave your answer in the form
y
=
m
x
+
c
Answers
Answer:
y= -4x+8
Step-by-step explanation:
y-y1= m(x-x1)
y-4 = (-4)(x-1)
y-4 = -4x+4
y = -4x+4+4
y = -4x+8
AMIGOS AND AMIGAS PLS HELP MY POOR BRAIN ILY FAM:
1) 8+ 9p = 9p - 7
2) 2(3x + 6) = 3(2x - 6)
Answers
1. 9p - 9p = -8 - 7
0 = - 15
2. 6x + 12 = 6x - 18
6x - 6x = - 18 - 12
0 = - 30
That's what I got
3. Avery noticed that of the apples in a basket are red. There are 45 red apples in the basket.
(a) Represent the situation with an equation. Use a for the variable.
(b) Solve the equation in Part (a). Show your work.
(c) What does the solution of the equation represent in the situation?
Answers
Answer:
Step-by-step explanation:
Something missing in "noticed that of the apples." Perhaps "that 40% of . . .?"
But I'll try to answer, using an example:
Avery noticed that 30% of the apples in a basket are red. There are 45 red apples in the basket.
To find the total number of apples, X:
(0.30)X = 45
X = 150 apples total. 45, or 45/150, is 0.3 0r 30%.
HELLPPPP MEEEEE ASAPPPPPPP PLEASEEEEEEEEEEEEWEEEEEEEE
Answers
Answer:SORRY CANT HELP U THERE
Step-by-step explanation:
Slope= -1/2 Y-intercept =4
Answers
Answer:
no I'm pretty sure it's wrong
Step-by-step explanation:
the y intercept for that to right us -4
b) the difference between three and x
Math
Answers
Answer:
3 - x
Step-by-step explanation:
In math, "the difference between A and B" usually means ...
A - B
In English, it often means ...
|A - B| . . . . the positive difference
__
"The difference between 3 and x" can be written as the expression ...
3 - x
What is the common denominator of StartFraction 1 Over a EndFraction StartFraction 1 Over b EndFraction in the complex fraction StartFraction 1 Over a EndFraction minus StartFraction 1 Over b EndFraction divided by StartFraction 1 Over a EndFraction 1 Over b EndFraction?.
Answers
The common denominator is 1
Given the expression:
[tex]\frac{1/a-1/b}{1/a1/b}[/tex]Find the LCM of the numerator to have:
[tex]\dfrac{\frac{b-a}{ab} }{\frac{1}{a} \frac{1}{b} }[/tex]Simplify both the numerator and the denominator to have:
[tex]= \dfrac{\frac{b-a}{ab} }{\frac{1}{ab} }\\= \frac{b-a}{ab} \times ab\\=\frac{b-a}{1} \times 1 \\=\frac{b-a}{1}[/tex]
From the result, we can see that the common denominator is 1
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Answer:
here is the correct answer for edge2022
Step-by-step explanation:
please help meeee, thank youuuu
Answers
Answer:
45
Step-by-step explanation:
I think so i dont know
Answer:
45
Step-by-step explanation:
Just do the regular number sequence (1-44) but add 1 since this specific sequence starts with 2.
Hope this helped! ^^I don’t quite understand how to solve question 1-A.
Answers
Answer:
for every 1000 people, the maximum noise level goes up by 1.5
After the first four games of a professional football season, three players scored a total of 80 touchdowns.
Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns.
Andre Roberts scored the remaining touchdowns.
How many touchdowns did Andre Roberts score?
A.20 touchdowns
B.28 touchdowns
C.32 touchdowns
D.52 touchdowns
Answers
Answer:
b
Step-by-step explanation:
Andre Roberts scored a total of 34 touchdowns
An equation is an expression that shows the relationship between two or more variables and numbers.
The total touchdowns is 80.
Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32
Let x represent the number of touchdowns scored by Andre Roberts, hence:
x + 14 + 32 = 80
x + 46 = 80
x = 34
Andre Roberts scored a total of 34 touchdowns
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Cans of peas are on sale at 2 for $1.19 how much would 12 cans cost
Answers
Answer:uh 2 divide 1.19 and add 12 i think
Step-by-step explanation:
Plz, help!!! I'll give brainliest!
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
0.5 ft = 12 × 0.5 = 6 inches 1.5 ft = 0.5 × 3 ft = 6 × 3 = 18 inchesSurface are of cuboid is : -
[tex] \sf2(lb + bh + lh)[/tex][tex]2(4 \times 6) +( 6 \times 18) + (4 \times 18)[/tex][tex] \sf2[24 + 108 + 72][/tex][tex] \sf2(204)[/tex][tex] \sf408 \: \: inches {}^{2} [/tex]Calculate the area of trapezium CDEF.
Answers
Answer:
i think 24 cm² is answer good luck
After Donovan gives Mabel 6 pears, she has
(x + 6) pears. If Mabel gives one-third of her
pears to Nelson, how many pears, in terms
of x, does Nelson have?
Answers
Answer:
see explanation
Step-by-step explanation:
Mabel has (x + 6) pears , then Nelson has
[tex]\frac{1}{3}[/tex] (x + 6) = [tex]\frac{1}{3}[/tex] x + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
After Donovan gives Mabel 6 pears, she has (x + 6) pears.
If Mabel gives one-third of her pears to Nelson. Then the number of pears that Nelson has in terms of x will be calculated as,
⇒ (x + 6) / 3
Simplify the equation, then we have
⇒ (x + 6) / 3
⇒ x / 3 + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
More about the Algebra link is given below.
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During a sale, a store offered a 30% discount on a bed that originally sold for $580 After the sale, the discounted price of the bed was marked up by 30%. What was the price of the bed after the markup ? Round to the nearest cent .
Answers
The price of the bed after the markup is $527.80.
The given parameters:
Discount = 30%Price of the bed, = $580Markup = 30%The price of the bed after the discount of 30% is calculated as follows;
P = $580 - 0.3($580)
P = $406
The price of the bed after the markup is calculated as follows;
P = $406 + 0.3(406)
P = $527.8
Thus, the price of the bed after the markup is $527.80.
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how do i tell if an angel is comolentery, supplmentsry, or neither? I was not at school the day they showed me this?
Answers
Answer:
supplementary angles - two angles are supplementary when they add up to 180 degrees (a straight line)
complementary angles - two angles are complementary when they add up to 90 degrees (a right angle)
hopefully this helps! :)
Answer:
1. complementary
2. neither
3. supplementary
4. complementary (x = 6)
10x + 30 = 90 x + 3 = 9 x = 6
5. supplementary (x = 20)
4x + 40 + 3x = 180 7x = 140 x = 20
6. x = 50.5
2x + 79 = 180 2x = 101 x = 50.5
Step-by-step explanation:
When the measurement of the angles adds up to 90 degrees, the angles are complementary. When the sum of the angles is 180 degrees, then they are supplementary.
Find the complex zeros of the following polynomial function.
f(x)=
[tex] {x}^{3} - 1[/tex]
Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.
The complex zeros of f are:
Answers
Answer:
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-1[/tex]
[tex]0=x^3-1[/tex]
[tex]0=(x^2+2x+1)(x-1)[/tex]
[tex]x-1=0[/tex]
[tex]x=1[/tex] <-- Real Solution
[tex]x^2+x+1=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions
For every 20 emails that Greg sent in a month, he received 50 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Greg that month?
A. 5:2
B. 3:5
C. 2:5
D. 5:3
Answers
Answer:
C. 2:5
Step-by-step explanation:
You can divide both side of the ratio 20:50 by 5 which leaves you with 4:10. You can simplify it again by dividing it by 2 and get 2:5