Answer:
8
Step-by-step explanation:
2log(x)=log(64)
By logarithms properties
[tex]xlog_{a}(b)=log_{a}(b^{x} ) \\[/tex]
log(x²)=log(64)
When you have log or ln in both sites, you delete them and...
x²=64
[tex]\sqrt[]{x^{2} } =\sqrt{64} \\x=8[/tex]
A museum sold 95 tickets for $1,025. Each adult ticket was $15, and each child ticket was $7. Let a represent the number of adult tickets sold and let c represent the number of child tickets sold. Which system of equations can be used to determine the numbers of tickets sold?
Answer:
a + c = 95........eq1
15a + 7c = 1,025....eq2
Step-by-step explanation:
Given:
Total number of ticket sold = 95
Total amount collected = $1,025
Price of each adult ticket = $15
Price of each child ticket = $7
Computation:
Number of adult tickets sold = a
Number of child tickets sold = c
So,
Number of adult tickets sold + Number of child tickets sold = Total number of ticket sold
a + c = 95........eq1
and
15a + 7c = 1,025....eq2
solve by substitution 6x-4y=18, -x-6y=7
Answer:
(2,-1.5)
Step-by-step explanation:
6x-4y=18
-x-6y=7
Switch the second equation from standard form to y=mx+b form
-x-6y=7→ -x=7+6y → multiply both sides by -1→ x=-7-6y
Substitute all of the things that equal x into the other equation into x
6x-4y=18→ 6(-7-6y)-4y=18
Simplify
-42-36y-4y=18
Bring - 42 to the other side and add like terms
-42-36y-4y=18→ -40y= 60
Solve for y
y=-1.5
Choose an equation and plug y in it.
-x-6(-1.5)=7
-x+9=7
-x=-2
Multiply both sides by -1
x=2
Each time Cheryl runs, she runs 3miles. She rides her bike only on Saturday’s and always for 10miles. She exercises the same amount each week. She rides and runs for a total of 22 miles in a week.
Write an equation that can be used to find out how many times, X, Cheryl goes running each week.
Answer: 6
Step-by-step explanation: 22 / 6 = 3.6666666666666666666666666667
Based on the information given, the equation will be 3x + 10y = 22.
How to solve and equation:Let the number of times she walks be x.
Let the number of times she rides be y.
Since she runs 3miles, therefore, from the information given, the equation will be 3x + 10y = 22.
Learn more about equations on:
https://brainly.com/question/13763238
Luis worked 40 hours last week and earned a total of $528. His job at Cub pays $9 per hour and
his job at Target pays $15 per hour. Set up a system of equations to determine how many hours
he worked at Cub and how many hours he worked a Target. Then, solve the system.
The number of hours worked at Cub is
The number of hours worked at Target is
Answer:
Let the number of hours he worked at his weekday job be x and the number of hours he worked at his weekend job be y, then
From (1): 25 + y = 40
y = 40 - 25 = 15.
Therefore, Beneio worked for 25 hours at his weekday job and 15 hours at his weekend job.
Step-by-step explanation:
Function or not?
I will give you brainliest
Pls help, Thank you
Please help me please
9514 1404 393
Answer:
see attached
Step-by-step explanation:
There are several ways you can go about this. The most straight-forward (and time-consuming) is to use a calculator to calculate the value for each cell of the table.
If you realize that the first row will be the base of the exponential, then you can finish filling that easily. The first row is completed by ...
4^1 = 4, 5^1 = 5.
Each row below that is the immediately preceding row multiplied by the number in the first row. For example, to finish the second column, we have ...
2^4 = 2·8 = 16
2^5 = 2·16 = 32
__
When calculations are easily defined and repetitive, I like to use a spreadsheet to do them. It avoids errors, and (to me) is less tedious than repeating the same calculation over and over. The first row of this spreadsheet is sequential numbers, as described above. The remaining cells raise the first row value to the left column power.
4. If f(x) = 2x + 4y and g(x) = 2x2 -3x + 6y, find g(x) – f(x)
A. 2x2 – x +10y
B. 2x2 -5x +2y
C. 2x2 +5x +10y
D. 2x-x + 2y
9514 1404 393
Answer:
B. 2x^2 -5x +2y
Step-by-step explanation:
Substitute the given expressions and collect terms.
g(x) -f(x)
= (2x^2 -3x +6y) -(2x +4y)
= 2x^2 -3x +6y -2x -4y
= 2x^2 -5x +2y . . . . . . . . . . matches choice B
What is the slope of the line that passes through the following points?
(-1,-2) and (-3,-4)
Answer:
y = x - 1
Step-by-step explanation:
Find the slope:
(-4 - (-2))/(-3 - (-1))
-2/-2 = 1
y = x + b
Plug in one of the points:
(-1,-2)
-2 = -1 + b
b = -1
y = x - 1
6. What is the slope of the line that passes through the points: (6,9) and ( 11, 2) * 7 5 A OB han O D
Answer:
(11,2)
Step-by-step explanation:
Answer:
y=-1.4x+17.4
Step-by-step explanation:
Please help ASAP, I need to answer this by the end of the day I need really need help!!!
Answer:
1. I believe some solutions could be x= -7, x= -8, x= -9 etc.
Step-by-step explanation:
2. If the inequality was -3x is greater than or equal to 18 then x and also be equal to x=6.
yoooooooooo i need help fast . please
completely factor the polynomial: 9x+ay+9y+ax
Answer:
(x + y)(a + 9)
Step-by-step explanation:
Here, we want to factorize the polynomial
We can do this by taking together like terms
Thus. we have that;
9x + ax + ay + 9y
= x(a + 9) + y(a + 9)
= (x+y)(a+ 9)
Please help please...
Answer:
In step one, -8 - 2 should result in -10, not -6.
I guess it's time to post a real question. The attachment below---
Answer:
y*y*y*y*y
y^5
Step-by-step explanation:
When you multiply exponents with the same base you're supposed to add them so your answer to the first is y^5 but your teacher is being weird and wants you to write it with no exponents so you can just write it 5 times
so number one is y*y*y*y*y
I answered number two in my explanation above
you add the exponents
y^2+y^3=y^5
if you have any questions let me know
If you can burn 100 calories by running 20 minutes, how many calories can you burn
in 60 minutes? Write a proportion and solve.
Answer:
You can burn 300 calories
Step-by-step explanation:
Someone help me on this pleaseeeeeeeeeeeeee !
Answer:
9
Step-by-step explanation:
what are the lengths of LM, MN, QR, and MR?
Please help me with this homework
For the first question, the answer will be 0.008, and then for the second question, your answer will be 68,000.
The reciprocal for 5 is 1/5
Answer:
yep
Step-by-step explanation:
got that right very true
Can someone help me with this please?
Answer:
216 Minutes
Step-by-step explanation:
2x=18
x=9
Every mile is 9 minutes, so we can multiply 9 by 26:
234 minutes
But he has already ran for 18 minutes, so we can subtract:
234-18=216
Answer:
216mins
Step-by-step explanation:
first divide 2/18 by 2 to see the rate and you get 1/9 so he runs 1 mile every 9 mins. You multiply 9 by 26 to get your answer and you get 234 subtract 18 and it will take him 216 more mins
Billy runs a miles in seven minutes and 30 seconds. For every mile Billy runs, he adds 30 seconds to his mile time. If Billy runs EIGHT miles, how many minutes will it take him?
Answer I don't know the answer but I just want to say I hope you do well!
Step-by-step explanation:
Answer:
After the last lap it will take him 11 min to complete the lap and over all his time was 1 hour 14 min.
Step-by-step explanation:
Lap 1: 7:30
Lap 2: 8:00
Lap 3: 8:30
Lap 4: 9:00
Lap 5: 9:30
Lap 6: 10:00
Lap 7: 10:30
Lap 8: 11:00
= 74:00 = 1 hour 14 min
PLZ THANK AND 5 STAR AND GIVE BRAINLIEST :)
if a function has a verticale asymptote at a certain x-value, then the function is at the value
Answer:
We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Step-by-step explanation:
If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
For example, let the function
[tex]f\left(x\right)\:=\frac{x+3}{x-3}[/tex]
It is clear that the given function becomes undefined at x = 3 in the denominator.
i.e. 3-3 = 0
It means, the function can not have x = 3, otherwise, the function will become undefined.
In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.
Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Simplify and explain (x^3+8)/(x+2)
answer:
x^2 - 2 x + 4
explanation: you want to factor the expression using a^3 + b^3= (a+b) (a^2 - ab+b^2)
then
(x,2) x (x^2 - 2x+4)
_________________
x+2
then reduce so,
(x+2) x (x^2- 2x +4)
_________________
x+2
then cross out repeating which is x+2
then you get your answer!
A tennis racquet with an original price of $30 is on sale for $21. What is the percent of discount?
Answer:30%
Step-by-step explanation:
original amount-new amount/original amount
30-21/30
9/30
write as a percent
30% off
A rectangular shaped living room bas dimensions of 32 feet by 18 feet. What is the length of the diagonal? Round your answer to the nearest tenth, if necessary.
Answer:
D = 36.7 feet
Step-by-step explanation:
Diagonal of a Rectangle
Given a rectangle of width W and length L, its diagonal can be calculated as the hypotenuse of a triangle of legs W and L as follows:
[tex]D=\sqrt{W^2+L^2}[/tex]
The dimensions of the living room are 32 feet by 18 feet, thus the diagonal is:
[tex]D=\sqrt{32^2+18^2}[/tex]
[tex]D=\sqrt{1024+324}=\sqrt{1348}[/tex]
D = 36.7 feet
I'm just kidding i need it i will appreciate it (-_-)
Answer:
D
Step-by-step explanation:
they have like terms
The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Solve
Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
Please help me with this homework
Answer:
1) 3.21 by itself if rational, I don't know if the dots mean anything, but if they do, then it is irrational.
2) Pi is an irrational number as it repeats forever.
A larger number is double the sum of 3 and a Shanel num
number. If y represents the larger number and x represents the smaller number, which equations model the situation?
Check all that apply.
HELP ME NOW PLEASE DONT GIVE A FAKE ANSWER PLEASEEEEEEEEEE
Answer:
y = 22; x = 8
y > x
Step-by-step explanation:
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.
Let
Smaller Number = x
Larger number = y
larger number is double the sum of 3 and a Smaller number
Sum of 3 and a smaller number = 3 + x
y = 2(3 + x)
y = 6 + 2x (1)
Also
y = 3x - 2 (2)
Equate the equation of the larger number
6 + 2x = 3x - 2
6 + 2 = 3x - 2x
8 = x
x = 8
Substitute x = 8 into (1) to find y
y = 6 + 2x (1)
y = 6 + 2(8)
= 6 + 16
= 22
y = 22
y = 22; x = 8
Therefore,
y > x
Aisha has a smart phone data plan that costs $25 per month that includes 4 GB of
data, but will charge an extra $15 per GB over the included amount. How much
would Aisha have to pay in a month where she used 3 GB over the limit? How much
would Aisha have to pay in a month where she used went over by x GB?
Answer:
20 dollars
Step-by-step explanation:
