Answer:
a = 16
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle then the median is the average of the 2 values either side of the middle
a + 1 , 2a - 1 , a + 7 , 3a + 4
↑ middle
Then
[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )
3a + 6 = 54 ( subtract 6 from both sides )
3a = 48 ( divide both sides by 3 )
a = 16
Ricardo wants to rent a personal watercraft for a beach party. Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Sun'N'Fun charges $15.00 per hour, plus a $30 fuel fee. After how many hours will Sun'N'Fun be cheaper than Wavy Dave's?
A. Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
B. Sun'N'Fun is cheaper than Wavy Dave's after 8 hours.
C. Sun'N'Fun is never cheaper than Wavy Dave's.
D. Sun'N'Fun is always cheaper than Wavy Dave's.
Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
Let y represent the total renting fee for x hours.
Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Hence:
y = 17.5x + 20
Sun'N'Fun charges $15.00 per hour plus a $30 fuel fee. Hence:
y = 15x + 30
For Sun'N'Fun to be cheaper than Wavy Dave's:
15x + 30 < 17.5x + 20
10 < 2.5x
4 < x
x > 4
Hence, Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
Find out more at: https://brainly.com/question/13911928
Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs two times as much as one drink, and the large pizza costs three times as much as one drink. If Mary started with $30$ dollars, how much money would she have left after making all of her purchases? Give your answer as an expression of $p
$ (30-8p)
Step-by-step explanation:
3 DRINKS- 3P
MEDIUM- 2p
large- 3p
so plus 8 p
(X-3)(X-1)
Expand and simplify
[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]
How do we check an answer to an algebraic equation to make sure that it is correct?
Determine whether a number is a solution to an equation.
Substitute the number for the variable in the equation.Simplify the expressions on both sides of the equation.Determine the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.- BRAINLIEST answerer
Answer:
substitute the value you solve the variable for back into the original equation and see if the left and right sides of the equation are equal
Step-by-step explanation:
let's say you have this equation:
2x - 10 = 26
solve by first adding 10 to each side to get:
2x = 36
now divide each side by 2 to get:
x = 18
to check, substitute 18 in for 'x' in the original equation to see if the left side equals the right side of the equation:
2(18) - 10 = 26
36 - 10 = 26
26 = 26
we know our answer is correct
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7
Answer:
I think B is the answerStep-by-step explanation:
Pls make me brainliestImsureeeeeeee123
Cuál es grado absoluto de
3x²yz²/4
Answer:
i dont speak espanish puto
Step-by-step explanation:
Solve the following inequality.
3x + 5 < 6x – 1
phân tích đa thức x^3 - x thành phân tử
Answer:
1
Step-by-step explanation:
Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50
Answer:
$100.66
Step-by-step explanation:
First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438
She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.
Olivia makes $100.66
Given: F(x)= 5 x - 6 and G(x)= x - 4
(FoG)^-1=
By definition of inverse function,
[tex]F\left(F^{-1}(x)\right) = x[/tex]
so that
[tex]5F^{-1}(x) - 6 = x[/tex]
[tex]5F^{-1}(x) = x + 6[/tex]
[tex]F^{-1}(x) = \dfrac{x + 6}5[/tex]
Similarly,
[tex]G\left(G^{-1}(x)\right) = G^{-1}(x) - 4 = x \implies G^{-1}(x) = x+4[/tex]
Then the inverse of the composition [tex]F\circ G[/tex] is such that
[tex]\left(F \circ G\right) \left((F \circ G)^{-1}(x)\right) = x[/tex]
By definition of composition,
[tex](F\circ G)(x) = F(G(x))[/tex]
Applying [tex](F\circ G)^{-1}[/tex] to this recovers x, and this involves first inverting F, then G:
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right)[/tex]
So, we find
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right) = G^{-1}\left(\dfrac{x+6}5\right) = \dfrac{x+6}5 + 4 = \boxed{\dfrac{x+26}5}[/tex]
Billy Bob just bought a new car his car costs $75,000. how much money will he pay in taxes for the car if the sales tax is 6%?
Answer:
4500
Step-by-step explanation:
What are the solutions to the equation |X – 3|= 14?
x= 11 only
Ox= -11 and x = 17
x= 17 only
x= -11 and x=11
Answer:
{-11,17}
Step-by-step explanation:
|X – 3|= 14
There are two solutions to an absolute value, one positive and one negative
x-3 = 14 and x-3 = -14
Add 3 to all sides
x-3+3 =14+3 x-3+3 = -14+3
x = 17 x = -11
x = {-11,17}
Can someone help ????
Answer:
432
Step-by-step explanation:
Answer:
432
Step-by-step explanation:
[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]
Now, at first, we solve the numerator:
[tex](14-3^{2}+1 )^{2}[/tex]
=[tex](14-9+1)^{2}[/tex]
=[tex](15-9)^{2}[/tex]
= [tex]6^{2}[/tex]
= 36
Now let's solve the denominator:
1 ÷ 3 × [tex]\frac{1}{4}[/tex]
=[tex]\frac{1}{3} . \frac{1}{4}[/tex]
=[tex]\frac{1}{12}[/tex]
Hence,
[tex]\frac{(14-3^{2}+1 )^{2} }{1/3.\frac{1}{4} }[/tex]
= [tex]\frac{36}{1/12}[/tex]
= 36 x 12
= 432
what 1.9 divided by 4
Answer:
0.457
Steps bye step explanation:
Evaluate the expression for a = -13.
Answer: -4
Step-by-step explanation: (9)+(-13) 9+−13 9−13 −4
Solving Systems of Three equations
(please help i will make you brainliest!!!)
Answer:
2) x = -4; y = 0; z = -2
4) x = 4; y = 2; z = 0
Step-by-step explanation:
2)
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4
Add the 2nd and 3rd equations to eliminate y and z.
-4x = 16
x = -4
Substitute x = -4 in first and second equations.
(-4)(-4) - 5y - z = 18
(-2)(-4) - 5y - 2z = 12
-5y - z = 2
-5y - 2z = 4
Multiply first equation by -1 and add to second equation.
5y + z = -2
(+) -5y - 2z = 4
----------------------
-z = 2
z = -2
Substitute x = -4 and z = -2 in first original equation and solve for y.
-4(-4) - 5y - (-2) = 18
16 - 5y + 2 = 18
-5y = 0
y = 0
Answer: x = -4; y = 0; z = -2
4)
4x + 4y + z = 24
2x - 4y + z = 0
5x - 4y - 5z = 12
Add equations 1 and 3 to eliminate y.
9x - 4z = 36 Eq. 1
Add equations 1 and 2 to eliminate y.
6x + 2z = 24 Eq. 2
Multiply Eq. 2 by 2 and add to Eq. 1.
12x + 4z = 48
(+) 9x - 4z = 36
----------------------------
21x = 84
x = 4
Substitute x = 4 into Eq. 1 to solve for z.
9x - 4z = 36
9(4) - 4z = 36
-4z = 0
z = 0
Substitute x = 4 and z = 0 into the first original equation to solve for y.
4x + 4y + z = 24
4(4) + 4y + 0 = 24
4y = 8
y = 2
Answer: x = 4; y = 2; z = 0
what is the calculation for 70 increased by 9%
The two interior angles that are not adjacent to an exterior angle are remote interior angles. TrueFalse
Answer:
true
Step-by-step explanation:
true
Help Me in my Math Thanks :)
Answer:
Step-by-step explanation:
Asked: How many square tables are needed to place 100 pupils?
Given: Square table each has 4 pupils to sit
operation : Multiplication, subtraction, Division
Solve:
Number of pupils in 9 rectangular tables = 9*8 = 72 pupils
Remaining pupils = 100 - 72 = 28
Number of square table needed =28 ÷ 4 = 7
7 square tables are needed.
is 3/4 greater than 1? i need help please
Answer:
No.
Step-by-step explanation:
3/4 = 0.75.
=> 0.75 < 1
Hoped this helped.
Evaluate the function.
f(x) = 2x2 – 15
Find f(-2)
Answer:
[tex]f(-2)=-17[/tex]
Step-by-step explanation:
[tex]f(-2)=2(-2)^2-25\\\\f(-2)=2(4)-25\\\\f(-2)=8-25\\\\f(-2)=-17[/tex]
f(x) = 2x² - 15
f(-2) = ?
Substitute -2 in the place of x.
f(x) = 2x² - 15
f(-2) = 2(-2)² - 15
f(-2) = 8 - 15
f(-2) = -7
______
Hope it helps :)) ⚜
Which expression is equivalent to 1/2b -15
Answer:
b-30
Step-by-step explanation:
1/2b-30×2=b-30
hope this helpd
Maria paid 320.00 for a jacket that was discounted by 20%. What was the original price of the jacket?
Louisa is 5 feet 4 inches tall.
How tall is she in inches?
Answer:
64 inches
Step-by-step explanation:
We need to convert feet to inches
5 ft = 5*12
= 60
5ft is 60 in
1 ft = 12 in
Add 60 in & 4 in
= 64 in
Hope this helps! Please rate it and press the heart button! Thanks!
Answer:
64
Step-by-step explanation:
12 inches= 1 foot
5 feet= 60 inches
60+4= 64 inches
A rectangular briefcase is 16 1/2 inches wide, 12 3/4 inches tall, and 5 inches deep. What is the volume of the briefcase?
please help i will mark as brainlyst
Answer: 1051.875 inches^3
Step-by-step explanation:
To find the volume of the briefcase, we'll use the formula: L*W*H where;
L = Length
W = Width
H = Height
So we'll have (16.5×12.75×5) inches^3
Which will give 1051.875 inches^3
3. What is 5% of 120?
A. 5
B. 6
C. 10
D. 12
Answer:
B
Step-by-step explanation:
5% of 120
= [tex]\frac{5}{100}[/tex] × 120
= 0.05 × 120
= 6
Is this relation a function? Justify your answer. 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 O A. Yes, because the number of x-values is the same as the number of y-values. B. No, because two points with the same yvalue have different * values. O C. No, because two points with the same x-value have different values. D. Yes, because every x- and y-value is positive.
this is a relation because it has all of the same number more than once
My sweatshirt rhat i want to buy is $36 today the price is 30% off what is the price of the sweatshirt today
What is the quotient of 4/5 divided by 1/3?
:
Answer:
2.4
Step-by-step explanation:
4/5 / 1/3
4/5 x 3/1
4/5x3/x1 = 12/5
22/5
12/5 = 2.4
If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5
Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .
• According to the Question ,
[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]
where k is a constant .And ,
[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]
[tex]\sf\longrightarrow k = 7*5 \\ [/tex]
[tex]\bf\longrightarrow k = 35[/tex]
Now , when x is 5 ,
[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]
[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]
[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]