The final price is the cost plus the tax.
Since we know the tax and a percent, we can write this as
T = C(1+r)
T = what Graham paid = $87.45
C = cost before tax
r = tax rate expressed as a decimal = .40
Plugging in what we know
87.45 = C (1+.4)
87.45 = C(1.4)
Divide both sides by 1.4
C = $62.46
e owner of a skatepark wants to increase her entry fee of $5 Buy in increments of $0.50 currently the skate park has an average of 500 paying customers per week the equation (500 - 25x)( $5 + $0.50x) give me the estimated weekly income where X is the number of $0.50 entry fee price increases if the entry fee is increased to $7.50 what will be the expected average number of paying customers each week
Answer:
375 paying customers
Step-by-step explanation:
First you need to find how much the fee was increased from $5.00 to $7.50
7.5 - 5 = 2.5
Then how many times the pay increase goes into that number to find your X value
2.5/.5 = 5
Now that we have found our x value lets plug it into the equation to find the money the park will make in increments of 1
500 - 25(1) = 475
500 - 25(2) = 450
500 - 25(3) = 425
500 - 25(4) = 400
500 - 25 (5) = 375
Answer:
375
Step-by-step explanation:
Which expression is NOT equivalent to 56x + 28?
1- 4 ( 14x + 7)
2- 7 (8x+4)
3- (28x + 14) 2
4- (7x + 3) 8
PLEASE ANSWER FAST MY BDAY IS TOMORROW AND IF I DONT PASS THIS TEST I WONT GET MY RAMEN SO PLEASE
Answer:
the answer is D. [tex](7x + 3) 8[/tex]
Step-by-step explanation:
hope this helps :)
please help its math!!! will give brainly and more points if correct please I need help
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y+8x=−5
Line 2: x+16y=−5
Line 3: y=−6x−7
Line 4: y+3=18(x−1)
Lines 2 and 3 are perpendicular.
Lines 1 and 2 are perpendicular.
All four lines are perpendicular.
Lines 1 and 4 are perpendicular.
Answer:
None of the options match
Step-by-step explanation:
First let's check option 1: lines 2 and 3.
line 2 in mx+b form: y=-1/16x -5
line 3, already in mx+b form: y=-6x-7
if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.
now for the 2nd option: lines 1 and 2.
line 1 in mx+b form: y=-8x-5
line 2 in mx+b form: y=-1/16x-5
Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.
For the 3rd option: all lines
this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.
Lastly, 1 and 4.
line 1 in mx+b form: y=-8x-5
line 4 --> y+3=18x-18 --> y=18x-21
This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.
To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...
Answer:
D
Step-by-step explanation:
We have the four lines:
[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]
Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.
So, let’s determine the slope of each line.
For Line 1, we can rewrite our equation as:
[tex]y=-8x-5[/tex]
So, the slope of Line 1 is -8.
We can rewrite Line 2 as:
[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]
So, the slope of Line 2 is -6.
The slope of Line 3 is also -6.
And the slope of Line 4 is 1/8.
So, the slopes of perpendicular lines must be negative reciprocals.
The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.
Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.
For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.
So, they will instead of parallel instead of perpendicular.
And Line 1 is perpendicular only to Line 4, and no other line.
Therefore, our answer is D.
Find the measure of the unknown angle
Answer:
97 degrees
Step-by-step explanation:
180 - 83 + 97
Answer:
∠? =97°
Step-by-step explanation:
because the 2 lines are paralel the 83° angle and the missing angle are suplementary angles so they add up to 180°
?= 180-83=97°
Which will help you when you file a claim for home insurance?
A. home loan
B. home budget
C. home inventory
Answer:
C. Home inventory
Step-by-step explanation:
Charlie weighs 5 times his little sister Tali. If the total weight of both children is at 132 pounds, how much does each child weigh?
Answer:
5x+x=132
Step-by-step explanation:
132/6=22
22*5=110
Charlie weighs 110 pounds and Tali weighs 22 pounds.
find the surface area of this cylinder using pie.
Answer:
Thus the surface area of this cylinder involving pie is:
[tex]A=750\pi[/tex] ft²
or
[tex]A\approx 2356.19[/tex] ft²
Step-by-step explanation:
Given
radius = r = 10 ft
height = h = 15 ft
The surface area of a cylinder formula is:
[tex]A=2\pi rh+2\pi r^2[/tex]
substituting the value = r = 10 ft and h = 15 ft
[tex]\:A=\left(2\times \:\pi \:\times \:15\times 10\right)+\left(2\times \pi \:\times \:15^2\right)\:[/tex]
[tex]A=750\pi[/tex] ft²
Thus the surface area of this cylinder involving pie is:
[tex]A=750\pi[/tex] ft²
or
[tex]A\approx 2356.19[/tex] ft²
HURRY I NEED HELP ASAP question: The name used to represent 1,000 liters is the
Answers : kiloliter, centiliter, or milliliter.
Answer:
KILOLITER
Step-by-step explanation:
Answer milliletres
Step-by-step explanation:
what is (3x² + 5x - 9) + (7x² + 2x + 10)?
I will give brainiest to the answer with step-by-step explanation :
Answer:
10x^2+7x+1
Step-by-step explanation:
Let's simplify this step-by-step.
3x^2+5x−9+7x^2+2x+10
=3x^2+5x+−9+7^x2+2x+10
After, combine like terms. (Simplify the expression)
Here is a step-by-step row.
= 3x^2+5x+-9+7x^2+2x+10
= (3x^2+7x^2)+(5x+2x)+(-9+10)
= 10x^2+7x+1
That is the most simplified form, I hope this helped!
I also adore your profile picture, it's so aesthetic ♡
..you watch anime? if so, me too! here's the answer, 18 :))
step-by-step explanation:
3 + 5= 8
8 - 9= -1
-1 + 7= 6
6 + 2= 8
8 + 10= 18
your answer is 18!!
Find $m\angle LKM$ .
Answer:I need a picture or numbers to answer
Step-by-step explanation:
Six increased by 1-3 of a number is 11 . Find the number
Answer:
7 is the answer
Step-by-step explanation:
6 + 1 - 3 of a number = 11
1 - 3 = -2
6 - 2 = 4
so 4 + 7 is 11
Hope it helps!
What is the answer to 1/2 divided by 8/7
7/16
Steps:
[tex]\frac{1}{2} /\frac{8}{7} =\frac{1}{2} *\frac{7}{8} =\frac{7}{16}[/tex]
what slope of line passess through 4,1 and -2,-4
Answer:
A slope..... I can't do math
Step-by-step explanation:
Given the arithmetic sequence below, write the general formula in simplified terms and
find the 110th term.
-3,2, 7, 12...
Answer:
542
Step-by-step explanation:
-3, 2, 7, 12
-3 + x = 2 x = 5
2 + x = 7 x = 5
7 + x = 12 x = 5
If you want to find the 3rd term in the sequence and you start with the first number, then you do this:
-3 + (2 * 5) = -3 + (10) = 7
The same goes for the 110th term:
-3 + (109 * 5) = -3 + (545) = 542
The formula to find the nth term is:
f(n) = n(0) + (n-1) * 5
Suppose n(0) = -3 then
f(110) = -3 + {(110-1) * 5}
f(110) = -3 + {(109) * 5}
f(110) = -3 + (545) = 542
You can simplyfy f(n) = n(0) + (n-1) * 5
f(n) = n(0) + (n-1) * 5
f(n) = n(0) + (5n-5)
f(n) = n(0) + 5n - 5
f(110) = -3 + (5 * 110) - 5
f(110) = -3 -5 + (550)
f(110) = - 8 + 550
f(110) = 542
Is 0 a real number? Why or why not
Answer:
The number 0 is both real and imaginary. ): Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.
Step-by-step explanation:
so i would say no but thats for you to decide
Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly.
Answer:
Option (C) is correct.
Step-by-step explanation:
The given options of the possible equation for the graph are as follows:
[tex](A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\[/tex]
The given graph is decreasing and at x=0, y=2.
So, first checking the value of the given options for x=0
[tex](A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)[/tex]
As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.
Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.
For option (A),
[tex]\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)[/tex]
As [tex]\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]
So, [tex]\frac{dy}{dx}>0[/tex]
Therefore, the function in option (A) is increasing function.
Similarly, for option (C),
[tex]\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)[/tex]
As [tex]\ln \left(\frac{2}{3}\right)=\ln(0.67)<0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]
So, [tex]\frac{dy}{dx}<0[/tex]
Therefore, the function in option (C) is decreasing function.
As the given graph is decreasing, so, (C) represents[tex]y=2\left(\frac{2}{3}\right)^x[/tex] the given graph.
Hence, option (C) is correct.
The equation [tex](C) y = 2(\dfrac{2}{3})^{x[/tex] could be the equation to represent the given graph is decreasing.
We have to determine, Which of the following equations could be the equation to represent the given graph.
According to the question,
The given options of the possible equation for the graph are as follows:
[tex](A)y = 2(\frac{3}{2})^x[/tex] [tex](B)y = -2(\frac{3}{2})^{-x}[/tex] [tex](C)y = 2(\frac{2}{3})^{x}[/tex] [tex](D)y = -2(\frac{2}{3})^{-x}[/tex]The given graph is decreasing and at x = 0, y = 2.
Then,
First checking the value of the given options for x = 0.
[tex](A)y = 2(\frac{3}{2})^x = 2(\frac{3}{2})^0 = 2 \times1 = 2[/tex] [tex](B)y = -2(\frac{3}{2})^{-x} = (A)y = -2(\frac{3}{2})^{-0} = -2 \times 1 = -2 (not \ possible)[/tex][tex](C)y = 2(\frac{2}{3})^x = 2(\frac{2}{3})^0 = 2 \times1 = 2[/tex] [tex](D)y = -2(\frac{2}{3})^{-x} = -2(\frac{2}{3})^{-0} = -2 \times1 = -2 (not \ possible)[/tex]For x = 0, y = 2, so options (C) and (D) are not possible, so the options are rejected.
Therefore,
To check the nature (increasing or decreasing) of the given equation by differentiating it.
For function A;[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{3}{2})\\\\ln(\dfrac{3}{2}) = ln(1.5) >0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}>0\\\\[/tex]
Therefore, The function in option A is increasing function.
For function c;
[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{2}{3})\\\\ln(\dfrac{3}{2}) = ln(0.67) <0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}<0\\\\[/tex]
Therefore, The function in option c is decreasing function.
The given graph is decreasing, so, the function c represents the given graph decreasing.
Hence, option (C) is correct.
To know more about the Graphs click the link given below.
https://brainly.com/question/16351335
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes does it take to fill the prism?
A - 108
B - 36
C - 12
D - 112
Answer:
your answer would be c hope this helps and if its wrong lmk
Step-by-step explanation:
A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dimensions of the carpet?
Answer:
The dimensions of the carpet are 15 inches and 82 inches
Step-by-step explanation:
Assume that the width of the carpet is x inches
∵ The width of the carpet is x inches
∵ The length of the carpet is 67 inches more than the width
∴ The length of the carpet is (x + 67) inches
∵ The perimeter of the rectangle = 2(length + width)
∵ The perimeter of the carpet = 194 inches
→ Equate the two right sides of the perimeter
∴ 2(length + width) = 194
→ Divide both sides by 2
∴ length + width = 97
→ Substitute the value of the length and width in the equation above
∵ x + 67 + x = 97
→ Add the like terms in the left side
∴ (x + x) + 67 = 97
∴ 2x + 67 = 97
→ Subtract 67 from both sides
∵ 2x + 67 - 67 = 97 - 67
∴ 2x = 30
→ Divide both sides by 2
∴ x = 15
∵ x represents the width of the carpet
∴ The width of the carpet is 15 inches
∵ The length of the carpet = 15 + 67
∴ The length of the carpet is 82 inches
∴ The dimensions of the carpet are 15 inches and 82 inches
Sandra wants to buy some t-shirts online that cost $14 each, and the shipping cost is $23. She has $65 to spend.
How many t-shirts did Sandra purchase?
(this is two-step equation math)
Answer:3
Step-by-step explanation: it’s exactly 3
Sandra purchased three t-shirts
65-23=42
42/3=14
PLS HELP ME 5.7 + (3z + 0.3)
Answer:
3z + 6
Step-by-step explanation:
5.7 + (3z + 0.3) =
= 5.7 + 3z + 0.3
= 3z + 6
Please help! Based on the picture above, select the correct angle pair for 3 and 5
Answer:
it e
Step-by-step explanation:
thats a tranversal and alternative exterior angles are angles on the opposite sides if a tranversal.
can somebody help me please?
Answer:
Domain = [tex](-\infty,6)\;\cup\;(6,\infty)[/tex]
Range = [tex](-\infty,1)\;\cup\;(1,\infty)[/tex]
vertical asymptote is at [tex]x=6[/tex]
Step-by-step explanation:
Domain is all the x values, with an asymptote, it is just a line that approaches a number but never reaches it. The vertical asymptote if you look at x, the lines look like the come from infinity on the left and right, try to reach 6 but can't.
So the interval notation for this is the union of all the numbers from negative infinity up to 6 but not including 6, and all the numbers from positive infinity up to 6 but not including 6.Range is all the y values, with an asymptote, it approaches a number but never reaches it. The horizontal asymptote if you look at y, the lines look like the come from infinity on the top and bottom, try to reach 1 but can't.
So the interval notation for this is the union of all the numbers from negative infinity up to 1 but not including 1, and all the numbers from positive infinity up to 1 but not including 1.what is the best answer for the equation -15=-6r+r
Answer:
r = 3
Step-by-step explanation:
First, add r to -6r, then divide both sides by -5.
~theLocoCoco
Brainliest for the correct answer 20 points!!!
Answer:
y = -3/2x + 3
Step-by-step explanation:
Answer:
y= 3 - 2x
Step-by-step explanation:
Which of the following functions is quadratic?
Answer:
A
Step-by-step explanation:
Answer:
a.
Step-by-step explanation:
A number increased by fifteen is nineteen. A number increased by fifteen is nineteen.
Answer:
the number is 4
Step-by-step explanation:
we can write this as
x + 15 = 19
now we transpose
x= 19-15
x= 4
What is (x+234)(x+8)=10x+2
Solve for x and justify your answer
First one will get brainless if right
Answer:
x = -8.4 and -223.6
Step-by-step explanation:
I 'foiled' and simplied, then graphed; x-intercepts (listed above) were the x-intercepts
Please help me please
Answer:
I think this AB would equal 12! Let me know if its right or wrong :3
Step-by-step explanation:
which one is the correct answer?
Answer:
D
Step-by-step explanation:
It says not similar
HELP ASAP!!
geometry
Answer:
Step-by-step explanation:
Y+6=3y-30
Subtract y from the left
6=2y-30
Add 30 to both sides
36=2y
Divide by 2
18=y
2x+29=4x-47
Subtract 2x
29=2x-47
Add 47
76=2x
Divide by 2
38=x