Answer:
$73.78
Step-by-step explanation:
$68 + (68*8.5%)
$68 + (68*0.085)
$68 + $5.78
$73.78
The total price of the sweater will be $73.78.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
The percentage is just like the amount of that value but in between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
Given that,
Price of sweater = $68
Percentage tax on the price of sweater = 8.5%
Now,
8.5% of 68 will be
⇒ 8.5 × 68/100 = $5.78
So, the total price will be
⇒ 68 + 5.78 = $73.78
Hence "The total price of the sweater will be $73.78".
For more about the percentage,
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Solve 6x + 3) = 21.
A. x = -3 and x = -4
O B. x = 3 and x = -3
C. X = -3 and x = 4
D. x = 3 and x = -4
Answer:
×=3
Step-by-step explanation:
6x +3) =21
6x=21 - 3
6x/6x=18/6
x=3
Your teacher has asked you to explain the difference between quantitative and qualitative observations. Which statement is correct?
Question 8 options:
Quantitative observations use numbers, qualitative uses the senses.
Quantitative observations use the senses, qualitative uses numbers.
Quantitative observations use measurement, qualitative uses numbers.
Quantitative observations use colors, qualitative uses the senses.
Answer:
Step-by-step explanation:
B is the answer and if the next has something to do with connie then your answer is C
Find the area of the circle use 3.14 for pie do not round your answer
Answer:
Area= 12.56 inches²Step-by-step explanation:
To find the area of a circle: A= πr²A= 3.14 × 2²A= 3.14 × 4A= 12.56 inches²[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
The area is:
12.56 in²Work/explanation:
The formula for the area of a circle is:
[tex]\sf{A=\pi r^2}}[/tex]
Where
A = area
π = 3.14
r = radius
Diagram:
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 2\ in}\end{picture}[/tex]
Plug in the data:
[tex]\sf{A = 3.14 \times 2^2}[/tex]
[tex]\sf{A = 3.14 \times 4}[/tex]
[tex]\sf{A = 12.56\:in^2[/tex]
Hence, the answer is 12.56 in².n!
Use:
n 'k k!(n-k)!
to solve the combination.
After a band parent meeting, each of
the ten members shook hands with
each other once. How many
handshakes were there in all?
Hint: Remember that one handshake involves
two people.
[?] handshakes
Will give brainliest!
Answer:
the area!!!
Step-by-step explanation:
2(a+b)h
to find b you have to know the base of the triangle. you may use pythagoras' theorem for that. you will then get 5ft as the base.
5ft + 48ft = 53ft.
put in the formula, the area is then
2(48+53)*13
am not with a calculator.... so sort it out....
I think you can get the rest with this...
11/12- 2/9 i need help due in 5 mins
Answer:
hope this helps and have a great dayyyyyy
Answer:
yes what we should by you
Step-by-step explanation:
rhsoba
Emily gets paid $40 just for showing up to watch her sister’s dog. Her sister then pays her $25 per everyday she watches the dog.
Answer:
Step-by-step explanation:
In December yanni’s chocolate shop received 180 telephone orders. In January they received only 72 telephone orders. By what percent did the number of telephone orders decrease from December to January
Answer:
Step-by-step explanation:
Find the value of expression:15/3+(7-3)^2
Answer:
21
Step-by-step explanation:
2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
answer: 9
Step-by-step explanation:
x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9
CAN SOMEONE PLZ HELP ME
Answer:
Slope intercept is y = mx+b.
SLOPE is m
and Y-INTERCEPt, where the thing touches the y axis is b.
The line touches the y axis at -6.
The slope is 2/3
y=2/3x-6
Step-by-step explanation:
How do you get 2.5 out of 20/8
9514 1404 393
Explanation:
If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.
__
[tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]
We assume that you know dividing by 10 moves the decimal point one place left.
-31+(-42)=
38+(-43)=
Answer:
-31+(-42)= -31-42 = -73
38+(-43)= 38-43 = -5
(-) - (-) = +
(-)+(-) = +
(-)+(+) = -
Find an ordered pair (x, y) that is a solution to the equation. 4x-y=4 (x, y) = 00 X Х ?
A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the population after eight years if there are 10 rabbits at t=0?
We have to find derivative of t
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]
[tex]\\ \sf\longmapsto 6t-12[/tex]
Now
t=8..[tex]\\ \sf\longmapsto 6(8)-12[/tex]
[tex]\\ \sf\longmapsto 48-12[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
Find two positive numbers whose difference is 30 and whose product is 2584.
Answer:
[tex]38[/tex] and [tex]68[/tex].
Step-by-step explanation:
Let [tex]x[/tex] be the smaller one of the two number.
[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].
The question states that the product of the two numbers is [tex]2584[/tex]. In other words:
[tex]x\, (x + 30) = 2584[/tex].
Rearrange this equation and solve for [tex]x[/tex]:
[tex]x^{2} + 30\, x - 2584 = 0[/tex].
The first root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].
Similarly, the second root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].
Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.
Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].
9514 1404 393
Answer:
38 and 68
Step-by-step explanation:
Let x represent the average of the two numbers. Then their product is ...
(x -15)(x +15) = 2584
x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2
x = √2809 = 53
Then the two numbers are ...
53 +15 = 68
and
68 -30 = 38
The two numbers are 38 and 68.
_____
Additional comment
Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.
What is 8(9h - 6) simplifyed
Give the slope of a line perpendicular to AB
Answer:
m = -1
Step-by-step explanation:
Find the equation in slope intercept form [ y = mx + b ] for line AB. Find the slope using the formula [ y2-y1/x2-x1 ].
8-5/7-4
3/3
1
Find the y-intercept.
5 = 1(4) + b
5 = 4 + b
1 = b
So the equation of the line AB is y = x + 1.
The slope of a perpendicular line is the opposite reciprocal of the original line.
1 -> -1/1 -> -1
Best of Luck!
20 points help quick
Answer:
6s-36 is the answer . Hope this helps you.
Answer:
6(x-6) = 6x-36
Step-by-step explanation:
What is the point on the graph of f(x+5)
Answer:
=fx+5f
Step-by-step explanation:
=fx+5f
Which number is closest to 66 (squared)?
A) 8.8
B) 8.1
C 8.2
D) 9.1
Answer:
sq rt of 66 is 8.12 so 8.1 closest
Answer:
8.1
I hope it will help you a lot.
HOPE your day goes great.
Add. Simplify the answer
Answer:
[tex]4g^{2}h-12gh^{2}-9gh[/tex]
Copy and paste version:
4g^2h-12gh^2-9gh
Step-by-step explanation:
[tex](4g^{2}h-gh-9gh^{2})+(8gh-3gh^{2})=\\4g^{2}h-gh-9gh^{2}+8gh-3gh^{2}=\\4g^{2}h-9gh-12gh^{2}=\\4g^{2}h-12gh^{2}-9gh[/tex]
Answer:
4g^2h-12gh^2-9gh
Step-by-step explanation:
Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?
Answer:
1360
Step-by-step explanation:
there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.
express 8% as a decimal fraction
Hello :D
The answer is 0.08
I hope this helps :)
50 + (-16) - 5 help me
Answer:
29
Step-by-step explanation:
[tex]50 + ( - 16) - 5[/tex]
[tex]50 - 16 - 5[/tex]
[tex]50 - 21[/tex]
[tex]\boxed{\green{ = 29}}[/tex]
Answer:
The answer is 29.
At the 2010 Olympics in Vancouver, Yu-Na Kim scored 226.56 points in woman's figure skating. Akiko Suzuki scored 181.44 points in the event. About how many more points did Yu-Na Kim score than Akiko Suzuki?
Answer:
5 more matches was won by yu-na kim
Question 5
1 pts
Write the equation of a line through (5,1), parallel to y=-*+1
o
Answer:
3rd, y=-1/5x
Step-by-step explanation:
Going to sleep goodbye
Solve the following system of equations, using any method. Express your answers in one decimal place.
Answers:
x = 0y = 6.9The value of x is exact. The y value is approximate.
==================================================
Explanation:
Let's subtract the equations straight down.
The x terms subtract to -22x since 9x-31x = 22xThe y terms go away because 7y-7y = 0The terms on the right hand side subtract to 0After doing those three sets of subtractions, we have the new equation -22x = 0. This solves to x = 0 after dividing both sides by -22.
Plug this x value into any of the two original equations to solve for y
9x + 7y = 48
9(0) + 7y = 48
7y = 48
y = 48/7
y = 6.857 approximately
y = 6.9
P(x) = x^4+ax^3-x^2+bx-12 has factors of (x-2) and (x+1). Solve the equation P(x)=0
Answer:
because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)
so we have:
[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]
=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]
With P(x) = 0
=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]
=> ........
Step-by-step explanation: