For 180 miles of driving the two plans will cost the same, at a price of $84.
Step-by-step explanation:1 - Set up the system of equations
Let x represent the miles driven
Let y represent the cost
First Plan:
y = $48 + $0.20x
Second plan:
y = $57 + $0.15x
Note that both are set equal to y, that means we can substitute y in one equation with the other equation because y = y
2 - Substitute
$57 + $0.15x = y = $48 + $0.20x
$57 + $0.15x = $48 + $0.20x
3 - Get the variables on one side and the constants on the other and then get x alone
$57 + $0.15x = $48 + $0.20x
- $48 - $48
$9 + $0.15x = $0.20x
- $0.15x - $0.15x
$9 = $0.05x
$9/0.05 = $0.05x/0.05
x = 180 Miles
"For what amount of driving do the two plans cost the same?
For 180 miles of driving the two plans will cost the same.
4 - Plug 180 in for x in either equation and solve to find the cost at which they equal
y = $48 + $0.20x
y = $48 + $0.20(180)
y = $48 + $36
y = $84
"What is the cost when the two plans cost the same?"
$84 is the cost when the two plans cost the same
Hope this helps
Rick invests $7,174 in an account that earns an annual interest rate of 3%. What will be the balance of the account in 18 years if the interest is compounded monthly?
A
$173,668.18
B
$7,572.00
C
$12,302.34
Answer:
A
Step-by-step explanation:
Based on the amount invested and the interest rate as well as period of compounding, the amount after 18 years will be C. $12,302.34.
As the amount is being compounded monthly, you need to convert the interest rate and the period of compounding to a monthly basis.
Interest rate = 3%/12 = 0.25%
Period = 18 x 12 months = 216 months
The amount after 18 years is:
= Amount x ( 1 + rate) ^ number of periods
= 7,174 x (1 + 0.25%) ²¹⁶
= $12,302.34
In conclusion, the amount will be $12,302.34 after 18 years.
Find out more at https://brainly.com/question/13963658.
The distance to the nearest exit door is less than 150 feet.
Use d to represent the distance (in feet) to the nearest exit door.
Answer:
d<150
Step-by-step explanation:
ASAP ASAP ASAP ASAP ASAP
Answer: 364 m squared
Step-by-step explanation:
to find the surface area of a rectangular prism, you must do width*length + hight*length + height*width
What are two coordinates on this graph?
Answer:
(0, 5) and (6, 0)
Step-by-step explanation:
please mark brainliest and have a great day
Pleaseee ANWSER ASAP!!!!
Answer:
I can't see the fourth option, but the answer would be C.
Step-by-step explanation:
It's the only graph that fits the question.
What is the slope-intercept equation for the line below?
Answer:
dumb dumb
Step-by-step explanation:
L M A O L M A O L M A O L M A O
you so funny
Step-by-step explanation:
what is -xy x=6 y=3
Answer:
the answer is -18
Step-by-step explanation:
Put 6 in for x and 3 in for y 3 times 6 is 18 and since there is a negative in front then it is a negative answer
Answer:
Heya your answer is - 18 (minus 18)
Mary had 4 friends over to study for a test. Before her friends arrived, she baked 4 pies to share equally among herself and her friends. How much pie is each person going to get. (Please also explain it )
Answer:
Each person gets 1 pie
Step-by-step explanation:
Becasue if there are 4 pies and 4 people than since the amount of pies and people are equal it cancels out, meaning there are no pies left to be eaten and no people left that dont have a pie to eat
Is 99 a rational number or integer or whole number
Answer:
Since 99 is not a perfect square, it is an irrational number.
Step-by-step explanation:
I have a question on this math problem that I'm stuck on
Answer:
what's the question?..
Janina recorded her scores after playing eight rounds of golf. If a score was under par, she recorded it as a negative number. If a score was over par, she recorded it as a positive integer. Her results are shown below.
−5, +2, +1, −3, −4, −5, −3, +1
What was her mean score for 8 rounds of golf?
Answer:
hello my name is alyssa what abt you I just have to answer questions to message someone to go off on them
Determine all segments skew to CD.
a concert started at 5:22pm on friday. the concert ended at 7:04 pm. how long did the concert last?
Answer:
1 hour and 42 min
Step-by-step explanation:
PLEASE HELPPPPP! thank you
Answer:
C, F hope this helps
Step-by-step explanation:
Answer:
B, C, D, F
Step-by-step explanation:
A and E are not mathematical sentences because its just a number and letter
Sarah wants to buy new pillows for her
room. Which store offers the best buy
on pillows?
Sale Price
Store
3 pillows for $40
A
4 pillows for $50
B
C
2 pillows for $19
D
1 pillow for $11
C. Store C
D. Store D
A. Store A
3 divided by 40 = 0.075 per pillow for A
4 divided by 50 = 0.08 per pillow for b
2 divided by 19 = 0.10 per pillow for c
and obviosly d is 11
your answer is A.
3 (4x + 7) = 43; 12x + 21 = 43
O Commutative Property
Associative Property
O Addition Property
O Distribution Property
Answer:
Distributive property
Explanation:
You are distributing the 3 to the parenthesis to get 12x+21 =43
Please help!!!
And try to show your work if you can:)
Answer:
equation~ 2x + 5= 2X + 8
Value of X~ 0.3
Perimeter:13
Step-by-step explanation:
equation: 2x + 5 =2x +8
2x + 5= 2x+ 8
4x + 5= 8
4X= 13
x= 0.3
value of X: 0.3
Perimeter: 13
Can someone put this into vertex form?
y=x2+24x-15
Answer:
The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of the vertex pointh = [tex]\frac{-b}{2a}[/tex] , where b is the coefficient of xk = y at x = hLet us use the facts above to solve the question
∵ y = x² + 24x - 15
∵ a is the coefficient of x² and b is the coefficient of x
∴ a = 1 and b = 24
∵ h is the x-coordinate of the vertex point
∵ h = [tex]\frac{-b}{2a}[/tex]
→ Substitute the values of a and b to find h
∴ h = [tex]\frac{-24}{2(1)}=\frac{-24}{2}[/tex]
∴ h = -12
→ To find k substitute y by k and x by h
∵ y = k and x = h
∴ k = (-12)² + 24(-12) - 15 = 144 - 288 - 15
∴ k = -159
∴ The coordinates of the vertex point are (-12, -159)
→ Substitute the values of a, h, and k in the vertex form above
∵ y = 1(x - -12)² + (-159)
→ Remember (-)(-) = (+) and (+)(-) = (-)
∴ y = (x + 12)² - 159
∴ The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Answer:
sure.
Step-by-step explanation:
In this diagram, each square represents 1 km. What is the displacement of the car?
Explanation:
With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.
We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.
Answer:
c
Step-by-step explanation:
The period of a pendulum is the time the pendulum takes to swing back and forth. The function L=0.81t^2 relates the length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 110 feet long. Find the period.
Answer:
11.73seconds
Step-by-step explanation:
Given the expression of length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth modeled as;
L = 0.81t²
Given
Length of the pendulum = 110feet
Required
Time (period)
Substitute the given value into the formula
L = 0.81t²
110 = 0.8t²
t² = 110/0.8
t² =137.5
t = √137.5
t = 11.73seconds
Hence the period is 11.73seconds
mejores aplicaciones de matemáticas?
What do I put in blanks explain your answer giving brainiest
Answer:
positve and negative i think
Step-by-step explanation:
Answer:
Positive
And Negative for the second one
Step-by-step explanation:
Which of the four triangles below are similar?
A. II and IV
B. III and I
C. II and III
D. I and II
PLEASE HELP
10 POINTS
IM FAILING
HELP
The Bears have won 7 and tied 2 of their last 13 games. They have not forfeited any games. Which ratio correctly compares their wins to losses?
Answer:
7:4
Step-by-step explanation:
7:4 because if 13 is the total amount of games, that minus the amount of games won and tied equals the amount of games loss which is 4. Since it says wins to losses, the wins will come first in the ratio. Therefore the correct answer would be 7:4.
Answer:
7:4
Step-by-step explanation:
help me answer pls :)
what is the value of y when x=43
Answer:
87
Step-by-step explanation:
f(x) = 2x+1
I NEED THIS ANSWER ASAP PLEASE HELP ME OUT :((
Answer:
y+8=-14/11(x-7)
Step-by-step explanation:
PLZZZ Help I don't understand this or know what to do!!!
Which composition of two rigid motions maps ΔABC to ΔA'B'C?
A. Rx-axis ∘ Ry-axis
B. Ry-axis ∘ Rx-axis
C. T⟨−7, 0⟩ ∘ Rx-axis
D. T⟨−7, 0⟩ ∘ Ry-axis
Answer:
The Answer Is C
Step-by-step explanation:
I had the same question, but i guessed and got it right c: hope this helps other people, even though its late to your question
Answer:
T⟨−7, 0⟩ ∘ Rx-axis
option C
10² - (35÷5) Please
Answer: 93
Step-by-step explanation:
10² - (35÷5)
10² = 100
100 - 7
=
93
Answer:
93
Step-by-step explanation:
10² - (35÷5)
10² - (7)
100 - 7 = 93
-TheUnkonwnScientist
Help me pls
Isbaksbaosbvshshs
Answer:
84
Step-by-step explanation:
The answer is 84. Every 2cm is 24km. 6cm=72 1cm=12
9514 1404 393
Answer:
3. 84 km
4. y = 3/4x
Step-by-step explanation:
3. The map and ground distances can form a proportion:
ground distance / map distance = 24 km / (2 cm) = x / (7 cm)
Multiplying by 7 cm gives ...
x = (24 km)(7/2) = 84 km
The actual distance is 84 km.
__
4. We notice that y (9) is less than x (12), so the multiplier of x must be less than 1. The appropriate equation is ...
y = 3/4x