Answer:
A(x) = x(200-x)
Step-by-step explanation:
400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet
If x is length and y is breadth. Perimeter is given by :
P = 2(x+y)
400 = 2(x+y)
⇒ (x+y) = 200 .....(1)
y = 200-x
Area of a rectangle is given by :
A = xy
A(x) = x(200-x)
Hence, the area as a function of length of rectangle is x(200-x).
Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
auction place. It costs $200 to attend the auction and she buys used cars at
$2,000 each. Last Tuesday, she purchased 10 cars. Which of the following
functions correctly represents this situation in function notation?
f(x) = 10x + 200
f(x) = 200x + 2,000
f(x) = 2,000x + 10
f(x) = 2,000x + 200
Answer:
It would be 2,000x+200
Step-by-step explanation:
okay it costs $200 to attend so that's a cost you are going to have to pay regardless. The $2,000 depends on how many cars you buy. So it would be 2,000 (times how ever many cars you buy) plus the $200.
1. (01.01 LC)
Which of the following is a rational number? (5 points)
√2, √3. √4. √5.
Answer:
root 4 is a rational number
Step-by-step explanation:
A rational number is any number that can be expressed as a fraction of two integers, say where q is not zero.
In 2004, Cindy had $4000 in a mutual fund account. In 2005, the
amount in the same account was $5000. If the percent increase from
2004 to 2005 was the same as the percent increase from 2005 to
2006, how much did Cindy have in this account in 2006?
Jacob split the cost of snacks, which was $12.24, with two friends. Before they ate, another friend joined them and paid Jacob for his fourth of the cost.
How much does Jacob need to refund each of the other two friends so that everyone pays the same amount?
Answer:
3.06
Step-by-step explanation:
12.24/4
Answer:
4.08
Step-by-step explanation:
Suppose that R and S are points on the number line. If RS=9 and R lies at -6 where could S be located
Answer:
at 3
Step-by-step explanation:
because iin a number line we have positives and negatives if rlR is at nine then S is at 3
3(4x - 2) > 7x + 19
Answer:
12x-6>7x=19
Step-by-step explanation:
which of the following explains why soft drinks are such an unhealthy choice?
A. one soft drink contains about 25% of daily caloric intake
B. one soft drink contains nearly an entire daily allowance for sugar
C. the carbonation contains unnatural additives that contribute to obesity
D. the carbonation is a preservatives that also adds sugar
Answer:
A or B
Step-by-step explanation:
slope intercept form of 5x - 4y = 28
Answer:
y=-5x-7
Step-by-step explanation:
5x-4y=28
-4y=-5x+28
y=-5x-7
What is the zero of this linear function?
f(x) = –3x + 3
Answer:
-3x + 3 = -9x - x = -9
hope this helps :)
Step-by-step explanation:
Can someone please answer this question for me 3(7q−10)
Answer:
21q-30
Step-by-step explanation:
If u use the distributive property, 3*7 is 21, therefore it would be 21q, and 3*10 is 30, so, the final answer would be 21q-30.
definition of congruence: if
Answer:
a statement that two numbers or geometric figures are congruent.
Step-by-step explanation:
Rate me please
Answer:
Definition of congruent is related to two numbers or shapes that may be equal. Congruent is like equal something can’t be congruent if it’s not equal.
Step-by-step explanation:
-3a + b when a
=
-4 and b = 9.
Answer:
12+9=21
Step-by-step explanation:
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
Answer:
$36
Step-by-step explanation:
Tristan paid $50 for the tickets of the school play and was given $23 as change. The amount Tristan paid for the ticket is given as:
Price for ticket = amount paid - change = $50 - $23 = $27
Price for ticket = $27
Given that the ticket was sold at 25% off. Let x be the original price of the ticket, therefore:
x - 25% of x = $27
x - 0.25x = 27
0.75x = 27
x = 27/ 0.75
x = 36
Therefore the original price of the ticket is $36
Answer:
27.00
Step-by-step explanation:
In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs. Which relation does not represent a function? * A) { (-2, -3), (1, 3), (3, -3), (5, 3) } B) { (-1, -5), (2, 4), (3, 7), (4, 10) } C) { (-2, 3), (1, 3), (3, 3), (5, 3) } D) { (3, 4), (4, 5), (3, -4), (4, -5) }
Given:
In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs.
To find:
The relation which does not represent a function.
Solution:
A relation is a function if there exist a unique output for each input.
In options A, B and C, we get unique output for each input.
In option D, we get two outputs y=4 and y=-4 for input x=3.
Since, there exist more than one output values for a single input value, therefore it is not a function.
Therefore, the correct option is D.
What is 859 divided by 3 with remainder
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So all you have to do is use long division because a calculator won't help you with this if you are looking for a remainder so basically you just divide then you will get...
[tex]\frac{859}{3}=?\\?=286 R: 1[/tex]
So the answer is 286 and a remainder of 1.
The result of the division problem ; with the quotient and remainder respectively are 286 and 1
Numerator = 859Denominator = 3__ 286 ______quotient
______
3 | 859
__6
-
__259
__24
-___19
-___18
____1 ________ remainder
Therefore, the quotient and remainder of the divison expression are 286 and 1
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Pleaseee help me with my math show work please I need the work
I'm sorry the photo is on a side. I'm too lazy to text it on here lol
Which cube is formed by folding the pattern?
Answer:
b
Step-by-step explanation:
In one month, Jillian made 36 local phone calls and 20 long distance calls.
What was her ratio of local calls to long distance calls for that month?
A. 2:1
B. 3:2
C. 9:4
D. 9:5
Answer:
D.
Step-by-step explanation:
Because 36:20 simplified is 9:5.
Answer:
It is D 9:5
Step-by-step explanation:
Beacuse 9x4= 36
and 5x4= 20
so 36:20 or 9:5
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed ( 2 )and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.
•What is the y-intercept
Answer:
y=50
Step-by-step explanation:
25(0)+15y=750
0+15y=750
15y=750
y=50
1. Find the GCF:
a. 16 and 54
b. 25 and 30
What is the supplement of an angle that
measures 21 degrees?
Answer:
159°
Step-by-step explanation:
Supplements equal a total of 180°. The expression for these types of problems would be
180-x
In this case, x would be 21. Plug it in to our expression.
180-21
159
Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply) Question 3 options: negative x positive positive ÷ negative positive ÷ positive negative x negative negative ÷ positive positive x positive negative ÷ negative positive x negative
Answer:
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Step-by-step explanation:
1. Negative × positive = negative
- × + = -
2. positive ÷ negative = negative
+ ÷ - = -
3. positive ÷ positive = positive
+ ÷ + = +
4. negative x negative = positive
- × - = +
5. negative ÷ positive = negative
- ÷ + = -
6. positive x positive = positive
+ × + = +
7. negative ÷ negative = positive
- ÷ - = +
8. positive x negative = negative
+ × - = -
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Note: when the signs are different, they will give negative
When the signs are the same, they will give positive
Did I get this right? If I did not please correct me and explain please thank you.
Answer: Yes. 10 1/2 is right.
Step-by-step explanation:
You added the amounts to find the total cups 5 3/4 + 1 1/4 to get 7
Then divided by 2/3 cups per week to get 10 1/2 weeks.
What is angle KNL
Enter your answer in the box
[]
Answer:
20
Step-by-step explanation:
So in case you did not know, MNJ and KNL have the same angle measure, so to find x you would just set each of the eqautions equal to each other. distribute the 3 to (x + 14) and get 5x+ 2 = 3x + 42. subtract 2 from one side and do the same on the other side. this would leave your eqaution looking like this: 5x-40= 3x, next subtract 5x from both sides and you will get -2x=-40, then vide by -2 and x will equal 20
Select all that apply
Which of the following name a line in the drawing ?
Answer:
I think FC but not sure
Step-by-step explanation:
the respn os that we looc at both sides f the line and see what the letters are
Answer:
DB
Step-by-step explanation:
just did it got it correct
2(4+c)=67 help solve for c
Answer:
c = 29.5 or
c = 59/2
Step-by-step explanation:
2 (4 + c) = 67
8 + 2c = 67
8 - 8 + 2c = 67 - 8
2c = 59
c = 29.5
Melissa collects data on her college graduating class. She finds out that of her classmates,40%are brunettes ,30%have blue eyes and 5% are brunettes that have blue eyes. What is the probability that one of melissa's classmates will be a brunette or have blue eyes?
The volume of the box is modeled by the function V (x) = 5x^2 + 5x. What is the volume when x= 4?
А-120 cubic units
B-30 cubic units
C-100 cubic units
D-45 cubic units
The volume of box at x = 4 is, 100 cubic units
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
We have to given that;
The volume of the box is modeled by the function,
⇒ V (x) = 5x² + 5x
Now, At x = 4;
The volume of the box is,
⇒ V (x) = 5x² + 5x
⇒ V (4) = 5 × 4² + 5 × 4
⇒ V (4) = 5 × 16 + 20
⇒ V (4) = 80 + 20
⇒ V (4) = 100 cubic units
Learn more about the cuboid visit:
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#SPJ2
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!!!
Answer:
11fl oz/per hr divided by 5.333=2.0625 or rounded to the nearest tenth 2.1 gallons per day.
Step-by-step explanation:
I need help please 20 points
Answer:
5^9
Step-by-step explanation:
subtract them. base (5) stays the same