Answer:
Step-by-step explanation:
A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.
A. The cost at the fitness center depends on the number of months (x).
The cost is the dependent variable, and number of months (x) is the independent variable.
f(x) = 100 + 40x
Example, the cost paid for 12 months can be determined as;
f(12) = 100 + 40(12)
= 100 + 480
= 580
Thus, $580 would be paid for 12 months at the fitness center.
B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.
The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.
So that;
f(x) = 1.69x
The cost of 10 pounds of lettuce can be determined as;
f(x) = 1.69(10)
= 16.9
Thus, the cost of 10 lb of lettuce is $16.90.
When it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo. How far ahead of Anchorage is Tokyo?
a. 6 hours
b. 16 hours
C. 18 hours
d23 hours
Answer:
C
Step-by-step explanation:
Go back from 11:00 pm until you get to 5:00 am (don’t mistaken it for 5:00 pm) and you should get 18 or go from 5:00 am and count up to you get to 12:00 pm and that’s 7 hours. Then go from 12:00 pm until you get to 11:00 pm and that’s 11 hours. 11+7=18
The Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.
What is the time zone?For legal, commercial, and social purposes, a time zone is a region that observes a uniform standard time. Instead of strictly following longitude, time zones tend to follow the borders between countries and their subdivisions.
We have:
Time in Anchorage = 5:00 a.m.
Time in Tokyo = 11:00 p.m.
The difference between these two-time zone is:
TIme difference = 18 hours
18 hours ahead of Anchorage is Tokyo.
Thus, the Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.
Learn more about the time zone here:
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What would justify these triangles????
Answer:
ASA would justify it to be congruent.
17. Solve the inequality. (l point)
9x <72
O x<8
O x<-8
O x<63
O x<81
What one
Answer:
First choice.
Step-by-step explanation:
Move 9 to divide 72.
[tex]x < \frac{72}{9} \\ x < 8[/tex]
8th math , plwase help
Help me pls I don’t know this
Answer:
elapsed time: 3 hours and 49 minutes
Step-by-step explanation:
If 10 is one third of a number, then what is the other 2/3
Answer:
The other 2/3 would be 20
Step-by-step explanation:
Each 1/3 is 10 so 10*2 is 20
What is the least angle of rotation that maps the regular heptagon onto itself? Round your answer to
the nearest whole degree.
Answer:
[tex]Minimum = 51^{\circ}[/tex]
Step-by-step explanation:
Given:
[tex]Shape = Heptagon[/tex]
Required
Determine the least angle of rotation that places the heptagon on itself
First, we write out the number of sides of a heptagon
[tex]Sides = 7[/tex]
Next, we write out the measure of 1 complete rotation
[tex]1\ Complete\ Rotation = 360^{\circ}[/tex]
The minimum angle of rotation is then calculated as:
[tex]Minimum = \frac{1\ Complete\ Rotation}{Sides}[/tex]
[tex]Minimum = \frac{360^{\circ}}{7}[/tex]
[tex]Minimum = 51.4285714286^{\circ}[/tex]
[tex]Minimum = 51^{\circ}[/tex]
Hence, the minimum rotation angle is [tex]51^{\circ}[/tex]
PLEASE HELP!!!
select the equivalent expression
How many solutions does each polynomial have?
Equation
Number of
Solutions
y = -61 – 9
y = 205
c4 + 273
672 + 2x + 4
y = -413
10.12 + 7 + 5
Answer:
answer in picture
Step-by-step explanation:
The solutions of polynomial have 1,5 and 3.
It is given that equation of the polynomial is -6x-9,[tex]2x^{5} -x^{4} +2x^{3} -6x^{2} +2x+4[/tex] ,[tex]-4x^{3} -10x^{2} +7x+5[/tex].
To find the how many solutions does each polynomial.
What is polynomial?An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
The equation of the polynomial is
y=-6x-9= 1 solution
y=[tex]2x^{5} -x^{4} +2x^{3} -6x^{2} +2x+4[/tex]= 5 solution
y=[tex]-4x^{3} -10x^{2} +7x+5[/tex] = 3 solution
So. the solutions of polynomial have 1,5 and 3.
Learn more about polynomial here:
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Find the difference.
0 - (-5) =
Answer:
= 5
Step-by-step explanation:
the two negatives cancel out to create a positive so the equation would be
0 + 5 =
= 5
Answer:
5
Step-by-step explanation:
[tex]0-(-5)[/tex]
When subtracting a negative number, the two negatives cancel out and subtraction turns to addition.
[tex]0+5[/tex]
[tex]5[/tex]
I hope this helps!
convert the following non terminating recurring decimals into fraction 0.83.5
Answer:
2.16 is answer is it right
i will give out BRAINLYIST if u can answer this.
qwertrewertyuiuytrfghsj
Answer:
I think it is
Step-by-step explanation:
s;kfjskejrlkjdvnlkfjnvlkajvnfkljvnkjfvn
Savsvwvsgsvajsmqkabadacags s
Step-by-step explanation:
Hope this helped
Express 25/125 in simplest form
PSA "25/125" ARE FRACTIONS
[tex] \frac{25}{125} = \frac{5}{25} = \frac{1}{5} [/tex]
which of the following rational function is graphed below?
9514 1404 393
Answer:
B. 1/((x -1)(x -2))
Step-by-step explanation:
The vertical asymptotes at x=1 and x=2 tell you the denominator will have factors such that these values make it zero: (x -1)(x -2). That is sufficient to identify choice B as the correct answer.
[tex]f(x)=\dfrac{1}{(x-1)(x-2)}[/tex]
PLEASE HELP ASSP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111
Answer:
2.3
Step-by-step explanation:
Your beginning equation is 5 (t + 3) = -3.5. You start by dividing by 5. This leaves you with t + 3 = 0.7. If you add 3 you get 2.3
2. The mayor of a town has money in the budget to build a library, an arena, or a swimming pool. The population of the town is 30,000. The mayor wonders how many people she should survey to help her decide what to build: 25, 100, 2000, 4000, 5000, 10,000, 15,000, or 20,000 people.
a) Which sample size would give the mayor the most confidence that she made the correct decision? Explain.
b) Why might the mayor not use this sample size?
Answer:
Step-by-step explanation:
a. 20,000 people because the more people you ask the more likely it is that you get a more accurate answer
b. because it would be more difficult to ask 20,000 people a question than 100 or 2000 people. it would take more time/effort/energy/resorces.
HELP ASAP
1. A known number that is a factor in a variable term. is called?
2. A letter or symbol that stands for a number. is called?
3. An expression with no variables. is called?
Answer:
1. coefficient
2. variable
3. constant
Step-by-step explanation:
Please see the picture for the problem!! Please help me!!! 14 points!!!! I’ll give brainliest!
Answer:
A
Step-by-step explanation:
The answer is A, because if you see the function when x is less than 1, it's the function 2x, and when x is greater than or equal to 1, it's the function 1/2*x+5/2
5/30 = x/90
solve for X
it is reduced I think. so the answer would be 10
Which equation is NOT a Linear fraction? HELP PLS!!!
What’s 20-20? I’ll give brainliest who is the 1st to answer.
Answer:
20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol
Is a $250 gift for his friend over or under the 12% spending guideline for gifts
9514 1404 393
Answer:
under
Step-by-step explanation:
On average, there are 4 1/3 weeks in a month, so Andy's salary is equivalent to ...
(4 1/3 wk/mo)($975/wk) = $4225/mo
The spending guidelines are that no more than 12% should be spent on gifts and entertainment, so Andy's gift budget is ...
12% × $4225/mo = $507/mo
A gift of $250 falls well within Andy's monthly gift budget limit of $507.
_____
Additional comment
Andy's housing allowance is about 30% of $4225, or $1267.50. His mortgage expense is over his budget amount by $82.50. Even if Andy takes this from his gift budget, he still has a sufficient amount for the birthday gift.
Grayson is drawing a two-dimensional shape and its dilation in a coordinate plane. Which attribute of this shape will remain unchanged?
Answer:
Area
Step-by-step explanation:
how do i solve for x?
Answer:
x = 10
Step-by-step explanation:
You have to divide 30 divided by 10 is 3 so ya.
Answer:
i think you have to divide
Step-by-step explanation:
30/3
x=10
The regular price of a watch is $28.25. During a sale, the watch was marked 12% off. What was the price of the watch during the sale? (5 points)
a
$2.35
b
$3.39
c
$16.25
d
$24.86
Answer:
D
Step-by-step explanation:
The answer is 28.25 times 0.88 (1.00 - 0.12)
Answer:
D
Step-by-step explanation:
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.
The table represents a Linear function, what is the slope of the function?
Answer:
m = 3
Step-by-step explanation:
Pick two points from the table.
(-1, 1) and (1, 7)
Apply the slope formula.
[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]
Hope this helps.
I NEED THIS QUICK PLEASE ILL MARK YOUR BRAINLY
The sum of 2 numbers is 96. The larger number is 9 less than 4 times the smaller. Find both numbers.
Answer:
75 & 21
Check:
75 + 21 = 96
21 * 4 - 9 = 75
Correct!
Answer:
the smaller number is 21 and the larger number is 75
Step-by-step explanation:
First make a simple equation where x = the smaller number and y = the larger number
ie: 96=x+y
Now make an equation to find the larger number.
ie: y=4x-9
Now substitute the y value in the first equation for the y value in the second equation
ie: 96=x+(4x-9)
Then solve for x
ie: x=21
Then plug in your new x value into the first or second equation to solve for y.
ie: 96=21+y
ie: y=75
A local gym had 490 members last quarter. This quarter, with a change in its rates, it has 686 members. What is the percent of increase in the number of members? please help quickly >'
Given:
Number of gym members in last quarter = 490
Number of gym members in this quarter = 686
To find:
The percent of increase in the number of members.
Solution:
We have,
Number of gym members in last quarter = 490
Number of gym members in this quarter = 686
Now, the percent of increase in the number of members.
[tex]\%\text{ of increase}=\dfrac{{Members in this month - Members in last month}}{\text{Members in last month}}\times 100[/tex]
[tex]\%\text{ of increase}=\dfrac{686-490}{490}\times 100[/tex]
[tex]\%\text{ of increase}=\dfrac{196}{490}\times 100[/tex]
[tex]\%\text{ of increase}=\dfrac{2}{5}\times 100[/tex]
[tex]\%\text{ of increase}=2\times 20[/tex]
[tex]\%\text{ of increase}=40[/tex]
Therefore, the gym members increased by 40%.
PLEASE HELP ASSP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
answers are below
Step-by-step explanation:
1) decrease
2) not change
3)decrease
CAN SOMEONE HELP ME WITH THIS PLEASE I NEED THIS BY TONIGHT!!!!
Sonia buys a car for $5,000. Each year, x, the value of the car decreases by $500. Write an equation to find the value of the car, y, after x years. What is the value of the car after 3 years?
Answer:
$3500, y= 5000-500x
Step-by-step explanation:
You initially have $5000 which you then subtract $500 from each year, where x represents the number of years that passed.
y= 5000-500x
So after 3 years, it should be
y= 5000-500(3)
=5000-1500
=$3500