The cost of a bus is $3.5 while the cost of a van will be $2.50
Systems of equationLet x be the admission fee for a van
Let y be the admission fee for a bus
If the admission fee for 2 buses and 1 van costs $9.50 and 3 buses and 2 vans enters the state park for a total admission fee of $15.50, then the required system of equation will be:
2x + y = 9.50
3x + 2y = 15.59
Using elimination method:
4x + 2y = 19
3x + 2y = 15.59
Subtract
x = 19 - 15.5
x = 3.5
Since 2x + y = 9.50
2(3.5) + y = 9.50
y = 9.50 - 7
y = 2.50
Hence the cost of a bus is $3.5 while the cost of a van will be $2.50
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Urgent fastttttttttttttttttttttttttttt
Answer:
4
Step-by-step explanation:
4 0
12 - 0 = 12
3 3
12 - 0 = 12 12 + 12 - 16 = 8 8/2 = 4
0 4
0 - 16 = -16
4 0
CB = 4, CA = 11 , and CE = 8 , what is the length of overline ET ?
Answer:
8Step-by-step explanation:
because CE is 8 and the space is equal to ET
Noah gets paid $6 per hour to babysit his nephew. This weekend, he babysat on both Saturday and Sunday. He made a total of $72. Noah babysat for 10 hours on Sunday. For how many hours did he babysit on Saturday? Let x = hours spent babysitting on Saturday. Choose the equation and solution steps that correctly represent this problem.
Answer:He babysat for 2 hours on Saturday
Step-by-step explanation: First he babysat for 10 hours on Sunday and got $6 per hour, times 6 by 10. Now you know he got $60 on Sunday, the total amount of money he got was $72 so add $12 with how much he got on sunday to get the total. Divide 12 with 6 and you get 2 because thats how many hours he did
Give an example of a pair of negative numbers, x and y, such that
(a) the sum of x and y is -63,
(b) the difference between x and y is -36.
Answer:
x= -49.5
y= -13.5
Step-by-step explanation:
-x-y= -63
-x+y=-36
y=-13.5
x=-49.5
hope this helps!
729 = ?
Find the missing base, the exponent is 3
Answer:
9
Step-by-step explanation:
[tex]729 = 9^3[/tex]
Meyer is wrapping a birthday present for his dad. He fits the present inside a cardboard box with a volume of 125 in3. If the box is shaped like a perfect cube, how much wrapping paper will Meyer need to cover the box completely?
A board game uses the deck of 20 cards
shown to the right. Two cards are selected at
random from this deck. Calculate the
probability that both cards selected have a
1, both with and without replacement.
Using the probability concept, it is found that they are given by:
0.0316 = 3.16%, without replacement.0.04 = 4%, with replacement.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Without replacement, there are 4 out of 20, and then 3 out of 19 cards with a 1, hence:
[tex]p = \frac{4}{20} \times \frac{3}{19} = 0.0316[/tex]
0.0316 = 3.16% probability that both cards selected have a 1 without replacement.
With replacement, in each trial, 4 out of 20, hence:
[tex]p = \frac{4}{20} \times \frac{4}{20} = 0.04[/tex]
0.04 = 4% probability that both cards selected have a 1 with replacement.
More can be learned about probabilities at https://brainly.com/question/14398287
Please help me with a explanation
Answer:
Bobby is 8
Step-by-step explanation:
Bobby is 8 because 8*2=16. and 16+8=24
The price of a car that was bought for $20,000 and has depreciated 8% yearly. Which equation will help find the value of the car after a
certain period of time? What is the value of the car 5 years later?
O y = 20000(1 - 08) $ 13181.63
Oy=20000(1 +.08) ; $29386.56
Oy=20000(1 +.05) ; $29549.11
Oy=20000(1 - .05) ; $ 13268.41
Answer:
O [tex]\sf y = 20000(1 - 08) ^5[/tex]
O $13181.63
explanation:
[tex]\sf compound \ interest = P(1 + \dfrac{r}{100})^{n}[/tex]
insert the following given values
[tex]\sf \hookrightarrow 20000(1 - \frac{8}{100} )^5[/tex]
[tex]\sf \hookrightarrow 20000(1 - 0.08)^5[/tex]
[tex]\sf \hookrightarrow 13181.63[/tex]
Carl grew 2 1/4 inches in 8 1/2 months
How many inches did Carl grow in a month?
Answer:
8 1/2 divided by 2 1/4 = 3 7/9 inches
Solve these 2 problems for 15 points and find the bases.
Answer:
33. 3
34. 1/3
Step-by-step explanation:
The exponent 2 stands for a number times itself
9 = 3x3
1/9 = 1/3 x 1/3
Hope this helps :)
Have a nice day!
Answer:
33. 3
34. [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
3 squared is 9
1 squared is 1
root 9 is 3
root 1 is 1
3²=9
1²=1
[tex]\sqrt{9} =3\\\sqrt{1} =1[/tex]
Please, What is y and x?
Answer:
Step-by-step explanation:
if it is linear ,then
[tex]slope=\frac{1-0}{\frac{\pi }{8}-0 } =\frac{8}{\pi } \\eq.~of~line~is\\y-0=\frac{8}{\pi } (x-0)\\y=\frac{8}{\pi } x[/tex]
Can somebody please help me with this question i attached the photo from khan academy.
Thank you!
Answer:
C = (12, 13)
Step-by-step explanation:
The centre of the rectangle is O.
Find the difference between the x and y-values of O and A:
[tex]O_x-A_x=\dfrac{21}{2}-9=\dfrac32[/tex]
[tex]O_y-A_y=\dfrac{19}{2}-6=\dfrac72[/tex]
Now add those difference to the coordinates of O to find C:
x value of C = [tex]O_x+\dfrac32=\dfrac{21}{2}+\dfrac32=\dfrac{24}{2}=12[/tex]
y value of C = [tex]O_y+\dfrac72=\dfrac{19}{2}+\dfrac72=\dfrac{26}{2}=13[/tex]
Therefore, the coordinates of C = (12, 13)
Answer:
Step-by-step explanation:
In rectangle the diagonals bisect each other. So,O is the midpoint of AC
[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\x_{1}=9 \ and \ y_{1}=6\\\\\left(\dfrac{9+x_{2}}{2},\dfrac{6+y_{2}}{2} \right) = \left (\dfrac{21}{2},\dfrac{19}{2} \right)[/tex]
Compare the x- coordinates and y- coordinates
[tex]\dfrac{9+x_{2}}{2}=\dfrac{21}{2} \ ; \ \dfrac{6+y_{2}}{2}=\dfrac{19}{2}\\\\\\9+x_{2}=\dfrac{21}{2}*2 \ ; \ 6 +y_{2}=\dfrac{19}{2}*2[/tex]
9 + x₂ = 21 ; 6 +y₂ = 19
x₂ = 21 -9 ; y₂ = 19 - 6
x₂ = 12 ; y₂ = 13
C(12 ,13)
Jina worked 37 hours last month and earned 59 per hour. She spent $15 of her earnings since then. How much money does she have left?
Answer:
$6.83
Step-by-step explanation:
37 x 59 = 2183
Because it is dollars you need to divide it by 100:
$21.83 - 15 = 6.83
5.138 + 2.624 = ? Thx
Answer:
5.138
2.624+= 7.762 is the answer
6 2
The sum of six times a number and five is greater than the difference of three times a number and two
(3k-6)(k^2-k+7)
Need help on polynomial functions
Why does Frank describe people as ""crazy""? What problems does she observe?
Answer:
They watch anime in their room for 5 hours then come back later. Frank is a dad. The "people" is his daughter. IM KIDDING, but more info please i dont really understand
Step-by-step explanation:
because is true (ITS NOT)
In addition to the fact that she has never kept a diary before, Anne Frank finds it strange that someone like her would do so. She also believes that neither she nor anybody else would find interest in a diary kept by a thirteen-year-old schoolgirl.
What happened in Act 2 Scene 4 of The Diary of Anne Frank?The residents are given five minutes to gather their belongings when the military break down the annex door. Nothing else may be taken by them. The scene comes to a close as Anne's voice commands Miep to keep her diary secure.
Frank discussed how people saw her in her final journal post, calling herself "a tangle of paradoxes." "As I've told you many times, I'm torn in two," she wrote. One half of myself is full of excitement, exuberance, flippancy, and, most importantly, the capacity to see the lighter side of things.
Thus, Anne Frank finds it strange that someone like her would do so.
For more information about happened in Act 2 Scene 4 of The Diary of Anne Frank, click here:
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#SPJ2
what is the slope of (-4, 3) and (-4,0)
Answer:
[tex]\huge\boxed{\sf{Und.efined}}[/tex]
Step-by-step explanation:
Hello.
There are 2 ways to solve this problem.
One of them is to use the slope formula.
The other one is to simply look at the x-coordinates and see that they are the same.
This means the slope is undefined.
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
Answer:
infinite
Step-by-step explanation:
[tex]\mathsf{slope=\dfrac{change \ in \ y}{change \ in \ x}}[/tex]
[tex]\implies \mathsf{slope=\dfrac{0-3}{-4--4}=-\dfrac30}[/tex]
Therefore the slope is infinite
The transportation department has to put a railing along the outer curve of this road. The road is 20 feet wide. What is the length of the outer curve to the nearest foot? Use the value = 3. 14. A. 68 feet B. 74 feet C. 86 feet D. 92 feet E. 102 feet.
Answer:
A. 68 feet ( the length of the outer curve to the nearest foot
Option C is correct, the the length of the outer curve to the nearest foot is 86 feet.
The formula for length of arc to find the length of the outer curve.
Thus; Arc Length = radius ×angle
We are given;
Radius = 70 ft
Angle = 70° = 70 × π/180 radians
Thus;
Arc length = 70 × (70 × π/180)
Arc length = 86 ft
Therefore, the outer curve is 86 feet long. Option C is correct.
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13,13,26,34,34,41,53,61
what is 2.0(2(5)+3+1)
Answer:
28
Step-by-step explanation:
2.0 (2(5)+3+1)
2.0 (10 +3 +1)
2.0 (14)
28
About 7/10 Of Greece’s mainland is Mountainous. About what percent of Greece’s mainland is not mountainous?
Answer:
30 percent
Step-by-step explanation:
7/10 is 70%
100%-70%=30%
Answer:
the answer is 30%
Step-by-step explanation:
I got the answer correct on the test
ASAP pleaseeee i have to submit it noww
Answer:
a. 95
b. 86
Step-by-step explanation:
Since you need it quick, no explanation for now.
Answer:
Length of the garden: 95 m
Width of the window: 86 cm
Step-by-step explanation:
Part A:
We can use the equation for area to find the length of the garden.
[tex]Area = Width * Length[/tex]
If we simply divide both sides of the equation by width, we will be solving for lenght:
[tex]\frac{Area}{Width} = Length[/tex]
Now, plug in the known values for the area and width of the garden:
[tex]\frac{6460}{68}=Length[/tex]
[tex]95=Length[/tex]
Part B:
This time, we'll have to use the equation for perimeter:
[tex]Perimeter = [2(Width)]+[2(Length)][/tex]
Because we want to know the width, and already know the perimeter and length we can once again use algebra to solve for the width:
[tex]Perimeter-[2(Length)] = 2(Width)\\\frac{Perimeter-[2(Length)]}{2} =Width[/tex]
Now, simply plug in the values for the perimeter and the length and solve:
[tex]\frac{370-[2(99)]}{2} =Width\\\\\frac{370-198}{2} =Width\\\\\frac{172}{2}=Width\\\\86=Width[/tex]
Therefore, the width of the window is 86 cm.
square is shown below
6x - 5
What is the area of the square expressed as a trinomial in terms of ?
A 3602 +25
X
B. 3632 - 25
C. 3632 – 605 + 25
D 3602 – 603 – 25
Answer:
Step-by-step explanation:
(a -b)² = a² - 2ab + b²
Here, a = 6x & b = 5
Area of a square = side * side
= (6x - 5)*(6x - 5)
= (6x - 5)²
= (6x)² - 2*6x*5 + 5²
= 36x² - 60x + 25
If one pan takes 12 cupcakes, how many batches will she have to bake for
105 cupcakes?
Answer: 9
Step-by-step explanation: 105/12=8.75
8 batches are not enough so she should do it one more time to finish
At a theme park, the waiting time for the roller coaster is usually 3 times as long as the waiting time for the bumper cars. The park's website says that visitors who go on both rides should expect to wait a total of 30 min. What is the usual waiting time for the bumper cars? Show your work.
Using a system of equations, it is found that the usual waiting time for the bumper cars is of 7.5 min.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Waiting time for roller coaster.Variable y: Waiting time for bumper cars.The waiting time for the roller coaster is usually 3 times as long as the waiting time for the bumper cars, hence:
x = 3y
The park's website says that visitors who go on both rides should expect to wait a total of 30 min, hence:
x + y = 30
Since x = 3y:
3y + y = 30
4y = 30
y = 30/4
y = 7.5.
The usual waiting time for the bumper cars is of 7.5 min.
More can be learned about a system of equations at https://brainly.com/question/24342899
Find the ratio of 3.5 ∶ 2.8 ∶ 7 by 10 in its simplest whole number form
Selena was finding the area of a circle with the radius of 7 units. Her work is shown below:
A = πr^2
= 3.14 * 7^2
= 3.14 * 14
= 43.96 units^2
What should Selena do to correct the error that she made?
F. Use 14 for the value of r .
G. Use 3.5 for the value of r .
H. Use 49 instead of 14 for 7^2
I. Use the formula 2πr
(Please show your work if possible!)
Tysm<33
Answer:
H
Step-by-step explanation:
So when finding the area you need to square the radius. In the problem she only multiplied it by two. so she needs to do 49×3.14.
Hope this helps!
Solve the system of linear equations using substitution. Use pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning.
x = 2y - 5
x + 2y = 4
Answer:
substitute for x(x, y) = (-1/2, 9/4)Step-by-step explanation:
When solving a system of equations using substitution, you look for an equation that makes it simple to write an expression for one of the variables in terms of the other(s). Here, the first equation already gives you an expression for x, so it is easiest to substitute for x in the second equation:
(2y -5) +2y = 4 . . . . . . (2y-5) substituted for x
4y = 9 . . . . . . . . . . add 5 and simplify
y = 9/4 . . . . . . . . divide by 4
x = 2(9/4) -5 = 9/2 -10/2 = -1/2
The solution is (x, y) = (-1/2, 9/4).
