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.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/19045223
Answer:
11
Step-by-step explanation:
in a right triangular prism the area of the Triangular base is 12 square centimeters the height of the prism is 7 cm what is the volume of the prism?
A) 60cm³
B) 84cm³
C) 72cm³
D) 98cm³
Answer:
84cm cubic.
Step-by-step explanation:
That is how it is done.Hope it will help.
What is the volume of a pencil
A store Is having sale on jelly beans and almonds. For 2 pounds of jelly beans and 12 pounds of almonds, the total cost Is $23. For 5 pounds of jelly beans and
3 pounds of almonds, the total cost Is $17. Find the cost for each pound of jelly beans and each pound of almonds.
Cost
for each pound of Jelly beans: $[]
x 5
Ratio: 2/23 : 1/x
x is $11.5
So 1 pound of jelly beans cost $11.5
3/17 : 1/x
x is 5.67
So 1 pound of almonds cost $5.67
Answer:
Jellybeans are $2.25 per pound
Almonds are $1.25 per pound
Step-by-step explanation:
Let x = jelly beans Let y = almonds
Equation 1
5x + 3y = 15
Equation 2
2x + 6y = 12
Multiply Equation 1 by negative 2 to give
-10x - 6y = -30
Add this to Equation 2 to eliminate y
-10x - 6y = -30 2x + 6y = 12
The y is eliminated leaving
-8x = -18
Divide both sides by negative 8 to give
x = 2.25
Substitute this value back into Equation 2 to solve for y
2x + 6y = 12 2(2.25) + 6y =12 . 4.50 + 6y = 12
Subtract 4.50 from both sides of the equation to give
6y = 7.50
Divide both sides by 6 to solve for y
y = 7.50/6
y= 1.25
10(x-2)+(6x-6)
Linear equations
Answer:
that's my answer
Step-by-step explanation:
16/60
please comment if I'm wrong
What is the equation of a line that goes through points (4,-5) and (-4, 1)?
Answer:
y=-3/4x-2
Step-by-step explanation:
y=mx+b form (slope intercept form)
1) find slope
(4,-5) and (-4,1)
1-(-5)=6
-4-4=-8
m=6/-8 or 3/-4
y=-3/4x+b
Plug a coordinate in y=mx+b. Plug either (4,-5) or (-4,1)
in this case, I'll plug in (4,-5).
-5=-3/4(4)+b
Note that I substituted the y and x variables in place of one of the coordinates.
find b=-2.
Result: y=-3/4x-2
Answer:
2(x + 3) + 4(9x + 8) = ?
Answer:
38x + 38
Step-by-step explanation:
A football team had 55 players at the start of the season
helppp pleaseeeeee I don’t understand
Answer: x=32, y=45, z=45
Step-by-step explanation:
Now, x is cut in half on a flat plane which is a supplementary angle (2 angles that add up to 180 degrees) so just subtract 148 from 180 and you get 32.
Since a line cuts y and z equally in half and the line it is connected to is perpendicular (right angle), we can safely say both angles are equal to 45 degrees.
The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.
Answer:
130% increase
Step-by-step explanation:
(322-140)/140(100)=130% increase.
(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)
cross multiply, and you get 130%.
Write an expression for the total number of fish and plants in all the sets using the expression you found in part A.
The expression for the total number of fish and plants in all the sets is 24x + 18y.
The given parameters:
Number of fish, = 24Number of plants, = 18Let the total number of fish and plants = T
Let the total number of fish in all the sets = 24x
Let the total number of plants in all the sets = 18y
The expression for the total number of fish and plants in all the sets is calculated as follows;
T = 24x + 18y
Thus, the expression for the total number of fish and plants in all the sets is 24x + 18y.
The complete question is below:
Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set
Learn more about word problem to algebra here: https://brainly.com/question/21405634
what is the order from least to greatest with the numbers 5 13/30 5 1/6 5 68/90
Answer:
Step-by-step explanation:
5 1/6, 5 13/30, 5 68/90
MARKING BRAINLIEST In two or more complete sentences, explain how to use ordered palrs of points in f(x) = 2x+5 and g(x) = x-5/2 to
determine if f(x) and g(x) are inverses of each other
Answer:
It is very difficult to know because you did not include the function g(x), you only gave us f(x).
Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.
f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list
f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list
f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list
So even though you didn’t list g(x), g(x) = (x/2) - 5/2
Well, we know that if we have an ordered pair of points (a,b) that satisfy a function y=f(x), then the inverse function will necessarily have a set of points (b,a).
We can choose any set of point that satisfy our first function f(x). x=3 => f(3)=11 so our set of points will be (3,11). Now if g(x) is and inverse function of f(x), when we calculate g(11) it should be equal to 3. Let's see:
g(11) = (11-5)/2 = 3. It works.
We have proven that f(x) and g(x) are the inverses of each other.
graph 56x- 19= -8y + 5
Answer/Step-by-step explanation:
Solve
Before we begin graphing, we have to solve the equation. You cannot just graph the equation as it is now. Let us simplify it:
[tex]56x-19=-8y+5[/tex]
[tex]56x-19+19=-8y+5+19[/tex] [tex]\mathrm{Add\:}19\mathrm{\:to\:both\:sides}[/tex]
[tex]56x=-8y+24[/tex]
[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex] [tex]\mathrm{Divide\:both\:sides\:by\:}56[/tex]
[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{56x}{56} = x\: (\mathrm{or}\: 1)[/tex][tex]-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{-8y+24}{56}[/tex][tex]\mathrm{Factor\:-8y+24}\\\mathrm{Rewrite\:as}\\=-8y+8\cdot \:3\\\mathrm{Factor\:out\:the\:common\:term\:8}\\=8\left(-y+3\right)\\\\=\frac{8\left(-y+3\right)}{56}\\\mathrm{Cancel\:the\:common\:factor:}\:8\\=\frac{-y+3}{7}[/tex][tex]\bold{x=\frac{-y+3}{7}}[/tex]
Graph
Now, we can graph. Graph the line using the slope and y-intercept, or two points.
[tex]\mathrm{Slope}: -7\\y-\mathrm{intercept}: (0,3)[/tex]
[tex]x\\0\\1[/tex] [tex]y\\3\\-4[/tex]
A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?
Alex drove from home to her office and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 50 km/h. The average speed on the way back was 30 km/h.
Let t be the time it took to go to the office from home
The distance Alex drove from home to her office and back is...
Answer:
The total distance is 220km. Explanation is in the picture. Pls give brainliest. :D
Angel plans to get his new product into Walmart. If he plans to sell 10,000 units to Walmart at $45 each, but Walmart negotiates a 20% discount, how much revenue has Angel lost compared to his original plan?
Answer:
90,000
Step-by-step explanation:
First you want to know how much money Angel plans to earn so you multiply 10,000 * 45 and that is 450,000. Then you find the 20% discount that Walmart negotiated so you turn 20% into a decimal. 20% as a decimal is 0.20 or 0.2. You then multiply 0.2 * 450,000 to get 90,000 which is the amount Walmart is discounting off. And if you need to find how much Angel is getting after the discount, subtract 90,000 from 450,000! :D I hope this helps!!
A bakery made 24 cherry pies, using 114 cherries for each pie. They threw away 35 cherries that were bad. If they used all the cherries they had, how many cherries did they start off with?
Answer:
2,771
Step-by-step explanation:
24 x 114 = 2736 + the 35 they threw away = 2,771
Today, everything at the store is on sale. The store offers a 20% discount
If the regular price of an item is x dollars, what is the discount price in dollars?
Answer:
.8x dollars
Step-by-step explanation:
Twenty percent off means you are paying 80 percent of every dollar, and 80 percent translates to .8 to 1 as a proportion.
Answer:
$.80x
Step-by-step explanation:
0.80x
Can someone help me with this
giving out brainliest
Answer:
C
Step-by-step explanation:
Step 1: plot your 2 known points, (-2,3) and (1,0)
Step 2: after that, you should see that your y value should be a - and your x a +. You can eliminate A and B.
Step 3: check to see if C is a correct answer, (4,-3)
C is the answer, hope that helps
Someone help me out pls
The solution set of inqulity 4>-2x in R is …
[tex]4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)[/tex]
The graph of part of linear function g is shown on the grid.
Which inequality best represents the domain of the part shown?
Answer:
F
Step-by-step explanation:
open circle at (-9,3) means the symbol must be either < or >
closed circle at (2,-6) means the symbol must be either ≤ or ≥
the x-values of each ordered pair above represent the domain {-9 and 2}
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
1. =
Step-by-step explanation:
1.
R.H.S
5.2 + 5.a
(now taking 5 common)
5(2+a)
Austin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $4.75 and each burrito for $9.50. Austin must sell no less than $760 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:30 tacos and 70 burritos
Step-by-step explanation:
inequality 1: y≤110−x shade down
inequality 2:y≥80− 1/2x Shade up
Answer (30,70)
1,7,19,37,61,91,127,169…
Answer:
Sequence sum? but it has no right sequence
Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a multiple of 3.
Answer
1/3
Step-by-step explanation:
5y+12>62 solve for y
Answer:
y>10
Step-by-step explanation:
5y+12>62
Subtract 12 on both sides
5y > 50
Divide 5 on both sides
y > 10
Answer:
y>10
Step-by-step explanation:
First, let's subtract 12 from both sides:
5y+12-12>62-12
Then let's simplify:
5y>50
Now let's divide both sides by 5:
5y/5>50/5
And then simplify to get our answer y>10
Hope this helped
Triangle CDE is similar to triangle FGH. Find the measure of side GH. Round your
answer to the nearest tenth if necessary.
E
H
11.4
D
7
F
G
31
The measure of side GH is 50.486 units.
Two triangles are similar if they share the same set of internal angles, that is, the following conditions are met:
[tex]\angle C \cong \angle F[/tex] (1)
[tex]\angle E \cong \angle H[/tex] (2)
[tex]\angle D \cong \angle G[/tex] (3)
Then, we can determine the length of the line segment [tex]GH[/tex] by the following relationship:
[tex]\frac{CD}{FG} = \frac{DE}{GH}[/tex] (4)
If we know that [tex]CD = 7[/tex], [tex]FG = 31[/tex] and [tex]DE = 11.4[/tex], then the value of the line segment [tex]GH[/tex] is:
[tex]GH = \frac{FG\cdot DE}{CD}[/tex]
[tex]GH = \frac{31\cdot 11.4}{7}[/tex]
[tex]GH = 50.486[/tex]
The measure of side GH is 50.486 units.
To learn more on similar triangles, we kindly invite to check this verified question: https://brainly.com/question/25882965
through (-4 0) perp y=2x-4 point slope form
A car travels at an average rate of speed of 60 miles per hour for 72 hours. How many miles does
this car travel?
Answer:
4320 miles
Step-by-step explanation:
distance= speed× time
60 ×72= 4320