The fare for a taxicab is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the convention center was $11.50. How many miles the trip is from the airport to the convention center?
Use m for the variable.
Answer:
m=13
Step-by-step explanation:
11.50-5.00= 6.50
6.50 divided by .50
= 13 miles
m=13
Which number is equivalent to the fraction 15/7
Answer:
2.14
Step-by-step explanation:
-7g-12=-9g-28
Whats g
Answer:
g=-8
Step-by-step explanation:
Which whole number property is represented?
10+ 0 = 10
Answer:
10
Step-by-step explanation:
The local bowling alley is offering a discount on their normal rate per game. Their normal price per game is 8$. If you bowl 3 games and rent a pair of bowling shoes for $2 and paid $20, how much was the discount?
Answer:
10 off
Step-by-step explanation:
3times 8= 24
3 times 2= 6
then add together-10 dollars
What is 2,964 divided 82?
Answer:
36.14634 (The decimals keep repeating)
Step-by-step explanation:
Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $25 into her checking account. Complete the equation that can be used to find the number of weeks, x, until Rosa has the same amount of money in both accounts.
Answer:
It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.
Step-by-step explanation:
For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week ([tex]x[/tex]), she adds $21 to her savings account:
[tex]21x+117[/tex]
The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week ([tex]x[/tex]), she adds $25 to her checking account:
[tex]25x+95[/tex]
Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks ([tex]x[/tex]) it takes until Rosha has the same amount of money in both accounts:
[tex]21x+117=25x+95[/tex]
Subtract [tex]21x[/tex] from both sides of the equation:
[tex]117=4x+95[/tex]
Subtract [tex]95[/tex] from both sides of the equation:
[tex]22=4x[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]4[/tex]:
[tex]5.5=x[/tex]
[tex]x=5.5[/tex]
So it will take five and a half weeks for her accounts to have the same amount of money.
_
Check your work by substituting [tex]5.5[/tex] into the initial equation:
[tex]21(5.5)+117=25(5.5)+95[/tex]
[tex]115.5+117=137.5+95[/tex]
[tex]232.5=232.5[/tex]
Since the accounts have the same amount, the answer is correct!
Answer:
5.5 weeksStep-by-step explanation:
GivenInitial balance
Savings account = $117Checking account = $95Added amount per week
Savings account = $21Checking account = $25If number of weeks is x, then required equation is
117 + 21x = 95 + 25xSolving for x
25x - 21x = 117 - 954x = 22x = 22/4x = 5.5The answer is 5.5 weeks
Pls help me very urgently needed
Plz help plz I really need it plz really fast plzzzz
Answers:
x=4 and y=27
x=8 and y=-1
x=1 and y=216
Step-by-step explanation:
You have to plug all of the choices given into the equation until it equals to 7
∛12 + 3 = 2.9 +3 = 5.29
∛27 + 4= 3 + 4 = 7
∛16 + 3 = 2.5 +3 = 5.5
∛-1 + 8 = -1 + 8= 7
∛216 + 1 = 6 + 1= 7
∛30 - 3 = 3.11 - 3 = 0.11
∛3 + 4 = 1.44 + 4= 5.44
Which one doesn't belong?
Graph
Where is the graph I need to see the graph for the answer
A 7-pack of plastic rings costs $2.52. What is the unit price? per ring?
Answer:
7 rings = $2.52
then 1 ring will cost = 1/7×2.52
= 0.36
Therefore 1 ring will cost $0.36.
James paid $42 for 6 pounds of chocolate. How much does the chocolate cost per pound?
Answer:
7
Step-by-step explanation:
Answer:
7 dollars per pound
Explanation:
divide 42 by 6 and your answer is 7 dollars per pound
3х + 5у = -3
x+2y = - 4/3
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
3x - y = 7
2x - 2y = 2
A. (2,-2)
B. (2,2)
C. (3,-1)
D. (3,2)
Can someone please help me!
What is the solution to this equation? 4- 5k = -21
a.5
b.21
c.17 over 5
4 over 5
Answer:
k = 5
Step-by-step explanation:
4 - 5k = -21
Transpose and subtract 4 from both sides:
4 - 4 - 5k = -21 -4
-5k = -25
Divide both sides by -5
-5k/-5 = -25/-5
k = 5
A ball is thrown vertically upward with an initial velocity of 64 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s=64t-16t^2 (a) At what time t will the ball strike the ground? (b) For what time t is the ball more than 48 feet above the ground?
Given:
The distance s (in feet) of the ball from the ground after t seconds is
[tex]s=64t-16t^2[/tex]
To find:
(a) At what time t will the ball strike the ground?
(b) For what time t is the ball more than 48 feet above the ground?
Solution:
(a)
We have,
[tex]s=64t-16t^2[/tex]
Substitute s=0, to find the time t when the ball strike the ground.
[tex]0=64t-16t^2[/tex]
[tex]0=16t(4-t)[/tex]
Using zero product property, we get
[tex]16t=0\Rightarrow t=0[/tex]
[tex]4-t=0\Rightarrow t=4[/tex]
Therefore, the ball strike the ground in initial condition (t = 0) and after 4 seconds (t = 4).
(b)
Now, s > 48, to find the time t when the ball will be more than 48 feet above the ground.
[tex]64t-16t^2\geq 48[/tex]
[tex]0> 16t^2-64t+48[/tex]
Divide both sides by 16.
[tex]0> t^2-4t+3[/tex]
[tex]0> t^2-t-3t+3[/tex]
[tex]0> t(t-1)-3(t-1)[/tex]
[tex]0>(t-1)(t-3)[/tex]
Related equation is [tex](t-1)(t-3)=0[/tex]. Zeroes are t=1,3. These two number divide the number line is three parts. (-∞,1),(1,3),(3,∞)
[tex]0>(t-1)(t-3)[/tex] inequality is true for only (1,3).
It is only possible when t lies in the interval (1,3).
Therefore, the ball will be more than 48 feet above the ground between 1 and 3 seconds.
Divide. Write your answer as a fraction in simplest form.
1/4÷(−3/8)=
Answer:
- 2/3 is the answer
Step-by-step explanation:
Need help on this!!!!
Answer:
Step-by-step explanation:
180-120=60
4*18-12=60
x=60
what is 4/6 + 4/8 with unlike denominators
Answer:
7/6 or 1.17
Step-by-step explanation:
i made them have a common denominator of 24 and simplified.
hope this is right and helps! :)
I don't get it doesn't make sense?
answer:
26 feet
step by step explanation:
40 - 5.2 = 35.2 - 8 = 27 - 1 = 26
What’s the answer???
Answer:
8/12 or 2/3
Step-by-step explanation:
I NEED HELP PLEASE HELP ME
Answer:
4 squares?
Step-by-step explanation:
What is the slope of the following equation? -3y - x= 0
Answer:
-1/3
Step-by-step explanation:
Add x to both sides and then divide both sides by -3. The slope is the number next to the x value which is -1/3
Simplify : 5c + 3 – 12c – 8
Answer:
Step-by-step explanation:
-7c - 5
22
1 point
If f (x) = 7– 41, what is f (-10)?
Answer:
f(x)+41 f(-10)=7
Step-by-step explanation:
Can someone solve for x
Answer:
x=6
Step-by-step explanation:
25+133+4+3x=180
3x=180-162
3x=18
x=6
what is 3.68 divided by 17 oz. and 2.89 divided by 13 oz.
Answer:
0.21 and 0.22
Step-by-step explanation:
A ticket broker bought two dozen concert tickets for $455.76. To resell the tickets, he will include a service charge of $3.80 for each ticket. What is the resale price of each ticket?
A. $18.99
B. $41.78
C. $22.79
D. $37.98
HELP ME PLEASE!!!!!!
Find the remainder when f(x) is divided by (x - k).
f(x) = 4x3 - 6x2 + 3x + 1; k= -2
Answer:
The remainder is -61
Step-by-step explanation:
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
The given polynomial is:
[tex]f(x) = 4x^3 - 6x^2 + 3x + 1[/tex]
We need to find the remainder when f(x) is divided by x+2. According to the above-mentioned theorem, we only need to find f(-2) as follows:
[tex]f(-2) = 4(-2)^3 - 6(-2)^2 + 3(-2) + 1[/tex]
[tex]f(-2) = 4(-8) - 6(4) - 6 + 1[/tex]
[tex]f(-2) = -32 - 24 - 6 + 1=-61[/tex]
The remainder is -61