Isabella is deciding between two parking garages. Garage A charges an initial fee of
$4 to park plus $3 per hour. Garage B charges an initial fee of $12 to park plus $2 per
hour. Let A represent the amount Garage A would charge if Isabella parks for t
hours, and let B represent the amount Garage B would charge if Isabella parks for t
hours. Write an equation for each situation, in terms oft, and determine the hours
parked, t, that would make the cost of each garage the same.
Answers
Answer:
i. A = 4 + 3t .......... 1
B = 12 + 2t .......... 2
ii. The hours required would be 8 hours.
Step-by-step explanation:
The charges at each of the garages can be expressed as;
i. For garage A,
A = 4 + 3t .......... 1
ii. For garage B,
B = 12 + 2t .......... 2
where A is the amount charged at garage A, B is the amount charged at garage B, and t is the number of hours.
To determine the number of hours parked that would make the cost of each garage the same.
Let:
equation 1 = equation 2
4 + 3t = 12 + 2t
collect like terms
3t - 2t = 12 - 4
t = 8
The hours that would make the cost of each garage the same is 8 hours.
Related Questions
The integer to represent a gain of 9 pounds would be ______.
Answers
Answer: -9
Step-by-step explanation:
The equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.
What is the length of ? Round to the nearest tenth.
Answers
Answer:
B. 12.9cm
Step-by-step explanation:
I presume we are asked to find the length of b
Which college is better?
Harvard
Yale
Stanford
Princeton
Answers
Answer:
yale
Step-by-step explanation:
harvard overrated
Answer:it is a personal opinion
Step-by-step explanation:
each school has its goods and bads. I personally would chose Stanford or Princeston because I haven't heard that many bad things from there and has great education. hope this helps
A skateboard park charges a $5 admission fee plus $2 for every hour spent at the park with a three-hour maximum stay. What are the input values of this problem situation?
Answers
Answer:
11 dollars
Step-by-step explanation:
If you do 1 person going into the park it starts with 5 dollars then you add 2$ to ever hour with a 3 hour limit so at the limit the amount paid would be 11 dollars if there was one person there for 3 hours
A circle with center B and radius 1cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA and BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.
Answers
Answer:
8 cm
Step-by-step explanation:
A circle with center B and radius 13 cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA is perpendicular to BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.
Solution:
Since the radius of the circle is 13 cm, hence:
BF = BD = BE = 13 cm.
For line segment BE; BE = BC + CE
BE = BC + CE
13 = BC + 1
BC = 13 - 1
BC = 12 cm
AD = BC = 12 cm (opposite sides of a rectangle are equal to each other)
Triangle ABD, is a right angled triangle because ∠B = 90°. We can use Pythagoras theorem to find AB:
BD² = AB² + AD²
13² = AB² + 12²
169 = AB² + 144
AB² = 169 - 144
AB² = 25
AB = √25 = 5
For line segment BF, we can use the line segment addition postulate to find the distance from A to F. Let x be the distance from A to F:
BF = AB + x
x = BF - AB
x = 13 - 5
x = 8 cm
simplify the ratio 84: 36: 108: 60
Answers
Answer:
A) 7 : 3
B) 7 : 4
Step-by-step explanation:
84 : 36
Simplified:
42 : 18 ( divided by 2)
21 : 9 ( divided by 2)
7 : 3 ( divided by 3)
7 : 3
108 : 60
35 : 20 ( divided by 3)
7 : 4 ( divided by 5)
7 : 4
Write down the first five terms of the sequence which has the n th term
Answers
Answer:
2
A) 12
B) 18
C) 20
D) 11
E) 25
F) 33
Step-by-step explanation:
because the next of the 10 is 12
What is the slope? (IXL)
Answers
Answer:
5/3
Step-by-step explanation:
There are 30boys in a sporting club 20of them play hockey and 15 play volley ball each boy plays atleast one of the true game.illustrate the information of a Venn diagram. How many boys play hockey and volley ball
Answers
A possible diagram to illustrate the situation is two circles that intersect, the circle marked as hockey includes the number 10, the circle marked as volleyball includes the number 15 and the intersection includes the number 5 (as you can see in the attachment).
What is a Venn Diagram?This is a diagram that uses circles and their intersections to illustrate the number of individuals in groups.
How to make a Venn Diagram?In this case, the Venn Diagram should include the following information:
Two circles, one circle tagged as hockey and the other tagged as volleyball.The number 10 in the hockey circle, number 15 in the volleyball circle, and number 5 in the intersection (10+5+15= 30)Learn more about Venn diagrams in https://brainly.com/question/29301560
#SPJ1
work out the value of angle x.
and give a reason for your answer.
pls help!
Answers
Answer:
60°
Step-by-step explanation:
Since, all sides of the given triangle are marked with identical signs.
So, measures of all sides are equal.
Therefore, it is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
So, x = 60° ( Alternate angles)
a tree with a height of 4 m cast a shadow 16 m long on the ground. how high is another tree that a shadow which is 20 m long
Answers
Answer:
5m
Step-by-step explanation:
There are 4 consecutive odd integers that sum to 344. Which integers are they?
Answers
Answer:
The consecutive odd integers are 83, 85, 87 and 89.
Step-by-step explanation:
x + (x + 2) + (x + 4) + (x + 6) = 344
4x + 12 = 344
4x = 344 - 12
4x = 332
x = 332/4
x = 83
x + 2 = 85
x + 4 = 87
x + 6 = 89
Hope this helps
Hiii I need help guysss tyyy and also need to plot points TYSM
Answers
Answer:
6x+10
Step-by-step explanation:
6 left and go up 10 and thats the point
What is the circumference of the circle with a diameter of 10 inches using ≈ . ?
Answers
Answer: 31.4
Step-by-step explanation:
C=πd
C=π×10
C=10π
C=31.4
What is the slope of a line perpendicular to the line whose equation is x - 3y = -18. Fully reduce your answer.
Answers
Given:
Equation of a line is
[tex]x-3y=-18[/tex]
To find:
The slope of the line perpendicular to the given line.
Solution:
The slope of the equation [tex]ax+by=c[/tex] is
[tex]Slope=-\dfrac{a}{b}[/tex]
We have,
[tex]x-3y=-18[/tex]
Here, a=1, b=-3. So, slope of this line is
[tex]m_1=-\dfrac{1}{-3}[/tex]
[tex]m_1=\dfrac{1}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let slope of perpendicular line is [tex]m_2[/tex].
[tex]m_1\cdot m_2=-1[/tex]
[tex]\dfrac{1}{3}\cdot m_2=-1[/tex]
[tex]m_2=-3[/tex]
Therefore, the slope of the perpendicular line is -3.
find
[tex]x + y + z[/tex]
[tex]x = 70 digree [/tex]
[tex]z = 40digree[/tex]
[tex]find y[/tex]
Answers
Answer:
x = 110
y = 110
Step-by-step explanation:
Here, we are going to apply an important triangle property
The sum of opposite interior angles equal the exterior angle of the third side
Thus, we have that;
y = 70 + 40 = 110
As we can see, the third angle in the triangle will be;
180-70-40 = 110
This is because sum of angles = 180
Thus, applying the exterior angle relationship,
x = 70 + 40 = 110
Leila (y) is 3 years older than her sister Joan (x). The equation x+3=y
gives Leila's age. What is the dependent variable?
Answers
Answer:
y
Step-by-step explanation:
The value of y is dependent on the value of x+3 because y represents leilas age.
Answer
3x+y
Step-by-step explanation:
Can someone help me plz and thank u
Answers
Answer:
<A = 44
Step-by-step explanation:
A triangle is 180 degrees
(x+59) + (x+51) + 84 = 180 >> add everything on the left side
2x + 194 = 180 >> subtract both sides by 194
2x = -14 >> divide both sides by 2 to get x alone
x = -7
since you are finding A<, substitute
<A = x + 51
<A = (-7) + 51
<A = 44
WILL GIVE BRAINLIEST! In the figure, a∥b and m∠1 = 34°.
What is the m∠5?
Enter your answer in the box.
°
Severely slanted line c diagonally crossing parallel lines a and b (reading from top to bottom). Angles formed by c crossing a are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by c crossing b are labeled five through eight, starting at top right and going counterclockwise.
PLEASE HELP ASAP...
WILL GIVE BRAINLIEST
Answers
Answer:
34 degrees
Step-by-step explanation:
I need help solving this
Answers
Answer:
Line B & C
Step-by-step explanation:
Parallel lines have the same slope.
Lines B and C have the same slope.
You can see that for both lines B and C that each time the line goes through an exact point, they line up.
did I follow the instructions on how it told me to answer this question
Answers
Answer:
did I follow the instructions on how it told me to answer this question
Step-by-step explanation:
No? wouldn't it be $10.50???
How does the risk of needing insurance impact the cost of premiums? O A. In some cases, higher risk results in lower costs. B. Higher risk always results in lower costs. C. Higher risk always results in higher costs. In some cases, higher risk results in higher costs.
Answers
Answer:
A
Step-by-step explanation:
Please help! Thank you!
Answers
Select all that apply.
Which graphed lines represent direct variation functions?
line d
line b
line c
line a
Answers
Answer:
Hope this helps~
Step-by-step explanation:
Look at the graph they gave you. ... At first it looks like an ugly mess.
But look closer. There are only two lines there that go through the origin,
so one of those is the answer to the question.
Now let's talk about the slope of a line.
-- If the slope of a line is positive, that means it rises as it goes.
If you walk the graph from left to right, you're climbing.
-- If the slope of a line is negative, that means it falls as it goes.
If you walk the graph from left to right, you're going down-hill.
The equation they gave you is [ y = 1/2 x ].
The slope is 1/2 . That's positive.
The line on the graph slopes up. To walk it, you have to climb.
In the picture, that can only be line 'c' .
Answer:
The equation they gave you is [ y = 1/2 x ].
The slope is 1/2. That's positive.
The line on the graph slopes up. To walk it, you have to climb.
HELP PLS ITS DUE IN AN HOUR
Answers
Answer:
MP7
Step-by-step explanation:
Answer:
6 < sqrt(41) <7
Step-by-step explanation:
6^2 = 36; 36 < 41
7^2 = 49; 49>41
What is the value of -2(x + 3)
Answers
2x+6 period
Brianna wants to buy a digital camera for a photography class. One store offers the camera for $49 down
and a payment plan of $20 per month. The payment plan for a second store is described by y - 15x + 79,
where y is the total cost in dollars and x is the number of months. Which camera is cheaper when the
camera is paid off in 12 months? Complete the explanation.
Answers
Answer:
Step-by-step explanation:
Cost of the camera at one store,
Down payment = $49
Per month payment = $20
Duration of the payment = 12 months
Total payment to be done = down payment + payments to be done in 12 months
= 49 + (20×12)
= 49 + 240
= $289
Cost of the camera at second store,
Equation describing the payment plan,
y = 15x + 79
Here, x = number of months
y = Total amount to be paid
If x = 12 months
y = (15×12) + 79
y = 180 + 79
y = $259
The camera at the second store is cheaper when the camera is paid off in 12 months because the cost at the first store is $289 and the cost at the second store is $259.
Find a point-slope form for the line with slope
1/2 (1 over 2) and passing through the point (−1,−6).
Answers
Answer:
It is Third quardant in Graph
where is the blue dot on the number line?
Answers
Answer:
The blue dot is on -3.1
Step-by-step explanation:
Answer: The blue dot is -3.21
someone help pleasee
Answers
Answer:
Option (3)
Step-by-step explanation:
If the sides of a triangle are unequal then the measure of sides opposite to these angle will be in the order from least to greatest.
In ΔABC,
m∠CAB = 180°- (m∠B + m∠C)
= 180° - (25° + 27°)
= 180° - 52°
= 128°
Since, ∠CAB > ∠ABC ∠ACB
Therefore, a > b > c ---------(1)
Now from ΔADB,
m∠BAD + m∠ADB + m∠DBA = 180°
32° + m∠ADB + m∠35° = 180°
m∠ADB = 180° - 67°
= 113°
Since, m∠ADB > m∠DBA > m∠BAD
Therefore, c > d > e -------(2)
Combining both the inequalities,
a > b > c > d > e
Option (3) will be the answer.