A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the nearest cent if necessary. $26.85 $28.91 $437.78 $439.85At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which expression represents how much she will receive in commission from the sale? 569 (0.18) 569 (0.72) 569 (1.18) 569 minus left-bracket (569) (0.18) right-bracket
Answer: See explanation
Step-by-step explanation:
1. Cost = $413
Sales percent = 6.5%
Cost of bike = $413 + (6.5% × $413)
= $413 + (0.065 × $413)
= $413 + $26.845
= $439.85
2. Cost of dishwasher = $569
Commission rate = 18%
The expression for the commission will be:
= 18% × $569
= 18/100 × $569
= 0.18($569)
Answer:
D
Step-by-step explanation:
Which diagram suggests a correct construction of a line that is parallel to given line I and passes through given point Q?
option D is the correct answer
solve for x 8(x+9)= -9x+21
Answer:
x = -3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-3
Step-by-step explanation:
How do you illustrate
quadratic equation
in one variable?
Step-by-step explanation:
Quadratic Equation
Quadratic equation is in the form
ax2+bx+c=0
Where
a, b, & c = real-number constants
a & b = numerical coefficient or simply coefficients
a = coefficient of x2
b = coefficient of x
c = constant term or simply constant
a cannot be equal to zero while either b or c can be zero
Examples of Quadratic Equation
Some quadratic equation may not look like the one above. The general appearance of quadratic equation is a second degree curve so that the degree power of one variable is twice of another variable. Below are examples of equations that can be considered as quadratic.
1. 3x2+2x−8=0
2. x2−9=0
3. 2x2+5x=0
4. sin2θ−2sinθ−1=0
5. x−5x−−√+6=0
6. 10x1/3+x1/6−2=0
7. 2lnx−−−√−5lnx−−−√4−7=0
For us to see that the above examples can be treated as quadratic equation, we take example no. 6 above, 10x1/3 + x1/6 - 2 = 0. Let x1/6 = z, thus, x1/3 = z2. The equation can now be written in the form 10z2 + z - 2 = 0, which shows clearly to be quadratic equation.
Roots of a Quadratic Equation
The equation ax2 + bx + c = 0 can be factored into the form
(x−x1)(x−x2)=0
Where x1 and x2 are the roots of ax2 + bx + c = 0.
Quadratic Formula
For the quadratic equation ax2 + bx + c = 0,
x=−b±b2−4ac−−−−−−−√2a
See the derivation of quadratic formula here.
The quantity b2 - 4ac inside the radical is called discriminat.
• If b2 - 4ac = 0, the roots are real and equal.
• If b2 - 4ac > 0, the roots are real and unequal.
• If b2 - 4ac < 0, the roots are imaginary.
Sum and Product of Roots
If the roots of the quadratic equation ax2 + bx + c
= 0 are x1 and x2, then
Sum of roots
x1+x2=−ba
Product of roots
x1x2=ca
You may see the derivation of formulas for sum and product of roots here.
Look at image Please help me I’m struggling
Answer:
14 dallers
Step-by-step explanation:
what is the 385/6 as a proper fraction
Answer:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 385 by 6 and keep only what is to the left of the decimal point:
385 / 6 = 64.1667 = 64
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
385 - (6 x 64) = 1
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 385/6 as a mixed number is:
64 1
___
6
Step-by-step explanation:
3) You owe a friend $50.60. You pay them back $18.90. How much money do you still owe your friend?
Answer:
31.7
Step-by-step explanation:
Just subtract
please help with this!!
Answer:
a) x= 29.4
b) 43400cm³ (3 s.f.)
Step-by-step explanation:
Please see the attached picture for the full solution.
How many eighteens are there in 8/9?
Answer:
4/81
Step-by-step explanation:
8/9 divided by 18
Find the distance between the two points in simplest radical form.
(-4,-3) and (5,9)
Anybody know anything bout Distance formula?and could maybe help with a couple questions please!
Step-by-step explanation:
Distance = √(5--4)^2 + (9--3)^2
= √ 9^2 + 12^2
√81 + 144 = √225=15
Answer:
15
Step-by-step explanation:
15
Please help me with number 10
Help please!!!!! put a answer and explanation WILL GIVE BRAINIEST
Answer:
1. false
2. true
3. false
4. true
Step-by-step explanation:
4. 1/9 rational + 2 irrational= 8 irrational
The ratio of length to width of a rectangular swimming pool is 4 : 5. If the width of the swimming pool is 25 meters, find the perimeter of the pool.
Answer:
20 hrs
Step-by-step explanation:
20 hours: The volume of the pool is (length) × (width) × (height), or 30×10×2=600 cubic meters. Use a standard work equation, RT= W, where W represents the total work of 600 m
3
.
0.5×t=600
t=1200 minutes
Convert this time to hours by dividing by 60: 1200÷60=20 hours.
Alternatively, you could convert first:
hr
0.5m
3
×60min=
hr
30m
3
Next, use the standard work equation:
30 t = 600
t = 20 hours
The perimeter of the rectangular pool would be 90 meters and the length of the pool is 20 meters.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that the ratio of length to width of a rectangular swimming pool is 4 : 5.
Let the length of rectangular swimming pool would be 4x
And the width of rectangular swimming pool would be 5x
Since the width of the swimming pool is 25 meters.
So 5x = 25 ⇒ x = 25/5 = 5
So the length rectangular swimming pool would be 4(5) = 20 meters.
The perimeter of the pool = 2 [ length + width ]
The perimeter of the pool = 2 [ 20 + 25]
The perimeter of the pool = 2 (45)
The perimeter of the pool = 90 meters
Learn more about the Perimeter of the rectangle here:
brainly.com/question/15287805
#SPJ2
What is the difference between 5x +3 and 5(x+3)?
Step-by-step explanation:
for 5(x+3) you have to use the distributive property to find its standard form because it has parenthesis:
this would give you 5x+15 which is not the same as 5x+3.
Please I need some answers
Step-by-step explanation:
1)4+9 = 13
2)9+16 = 25
3)4+16 = 18
4)9+25 = 34
Answer:
i) 13 ii) 25 iii) 20 iv) 34
Step-by-step explanation:
they are all exponents of 2 so you multiply each number by itself once.
i) 2x2 + 3x3
ii) 3x3 + 4x4
iii) 2x2 + 4x4
iv) 3x3 + 5x5
(next time you can use a calculator lol)
x+5/2=10 linear equations step by step explantion
See attachment for math work and answer.
Plz Help :/ and Thank you...
banana good for you
(i made this in 3d paint btw)
Answer:
25c = t ??
Step-by-step explanation:
"7xy+2x-y+5y-xy combine all like terms and rewrite the expression above "
Answer:
6xy+2x+4y
Step-by-step explanation:
Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in
function notation with x as the independent variable?
YUX) = 6x+9
10 = x+
10 = 6 +9
Answer:
F ( x ) = ( 6 x +9 )
Step-by-step explanation:
Change to slope-intercept form y = mx + b:
y - 6x - 9 = 0
y = 6x + 9
As function notation where x is the independent variable: f(x) = 6x + 9
What is the product of 0.04 and 0.2?
A:0.008
B:0.81
C:0.08
D:0.8
Answer:
A. 0.008
I hope this helps!
Answer:
A. 0.008
Step-by-step explanation:
Product mean you multiply, so you multiply 0.04 and 0.2 and you get 0.008
0.04 x 0.2 = 0.008
Five days a week, from Monday to Friday, Betsy takes the bus to school. Each day she has a probability of 90% of taking bus 1. If she does not take bus 1 then she will take bus 2.
What is the probability that she will take bus 1 on all five days?
Answer:
0.59
Step-by-step explanation:
Given that :
Probability of taking bus 1
P(b1) = 90% = 0.9
What is the probability that she will take bus 1 on all five days?
Five days from Monday to friday:
On Monday : p(b1) = 0.9
On Tuesday : p(b1) = 0.9
On Wednesday : p(b1) = 0.9
On Thursday : p(b1) = 0.9
On Friday : p(b1) = 0.9
Here we have an independent event:
Hence, probability of taking bus 1 on all five days :
(0.9 * 0.9 * 0.9 * 0.9 * 0.9)
= 0.59049
= 0.59
10 to power 7 decimal
Answer:
10 mil
Step-by-step explanation: 10x10x10x10x10x10x10= 10,000,000
HELP ASAP!!
Solve the equation x² = 5. Round to the nearest tenth.
find f(x) =32
f(x)=3x-1
Answer:
Given f(x)=32
So we can substitute 32 in place of 'x'
So, f(x)=3x-1
= f(x)=3(32)-1
= f(x)=96-1
= f(x)=95
f(x)=3x-1 = 95
(-15) - (-16) (i need 20 characters so hey)
Step-by-step explanation:
-15+16 (as - - = +)
1
it will be positive as 16 is greater then 15 and have positive charge
Answer:
1
Step-by-step explanation:
(-15)-(-16) =
(-15)+16 =
1
The area of a parallelogram is 42 square inches. The base of the parallelogram is 6 inches. What is the height of the parallelogram? Explain how you can use the formula for the area of a parallelogram to solve the problem.
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each
If Tyra buys 20 tickets, how much would it cost her for the fair?
20 d - $12
$12 d + 20
$12-20 d
$12 + 20 d
Answer:
$12 + 20d
Step-by-step explanation:
The width of a rectangle is 9 cm less than twice the length. the perimeter is 72 cm. What is the length and width
9 times 9=72
Step-by-step explanation:
if if the width is 9 then the length is 9 because 9 times 9 equals 72
Answer:
The length is 15
The width is 21
Step-by-step explanation:
Say the length of the rectangle is x.
Then, the width would be 2x-9.
You can use this to make the equation
x+x+2x-9+2x-9=72
6x-18=72
6x=90
x=15
2x-9=30-9=21
Therefore,
The length is 15
The width is 21
Someone plz help me I’ll give branliest!!
The vertex of the parabola shown is (4, -2)
In general, the vertex is (h,k)
So (h,k) = (4,-2) meaning h = 4 and k = -2
The equation of this parabola is y = (x-4)^2 - 2
Answer:
-2 is the correct option you're looking for.
32 ounces of maple syrup for $3.99 OR 48 ounces of syrup for $4.99