Answer:
[see below]
Step-by-step explanation:
The bike's original price is 300 dollars. It has been discounted by 30%.
300 * 0.3 = 90
The price would be 90 dollars off.
300 - 90 = 210
$210 would be the subtotal.
There is also an 8% sales tax.
210 * 0.08 = 16.80
210 + 16.80 = 226.80
Hope this helps you!
Answer:
cost of the bike =$300
discount = 30%
Price of the bike ={ (30/100)×300}-300=210
Sales tax= 8%
Final cost =( 8/100)×210=16.80+210=226.80
Last week, an organic produce farm delivered 11 3/8 pounds of green leaf lettuce, 13 7/16 pounds of romaine lettuce,
and 9 5/6 pounds of red leaf lettuce. What was the total weight of the lettuce delivered?
If real estate agent earns a 3% commission and earned \$4,350 on the closing of a home What was the price of the home?
Answer:
Final price of house = $145,000 (Approx.)
Step-by-step explanation:
Given:
Rate of commission = 3%
Amount of commission = $4,350
Find:
Final price of house
Computation:
Final price of house = Amount of commission / Rate of commission
Final price of house = 4,350 / 3%
Final price of house = 4,350 / 0.03
Final price of house = 145,000
Final price of house = $145,000 (Approx.)
Help
Find the volume of this sphere.
Use 3 for pi
Answer:
V = 1372cm3
Step-by-step explanation:
See the image above
if x= 3-2^2 then find the value of x^2+1÷x^2
X = 3-2^2
Simplify x:
3-4 = -1
X = -1
Replace x in the equation and solve:
(-1) ^2 + 1 /(-1)^2
(-1)^2 = 1
Simplify to get 1 + 1/1 = 1+ 1 = 2
The answer = 2
Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?
Answer:
The answer is below
Step-by-step explanation:
1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:
Average speed = total distance / total time
Total distance = d miles + w miles
Jacqui drives three times as long as she walks during the trip, hence:
time spent driving = 3t
Total time = 3t + t
Average speed = total distance / total time
a = (d + w) / (3t + t)
2) (3t + t) represents the total time that Jacqui spends traveling to the beach.
3) Given that a = 36 miles per hour, total time = 2 hours
a = total distance / total time
36 miles per hour = total distance / 2 hours
total distance = 72 miles
Total distance = distance walk + distance drove
72 = distance walk + 70
Distance walk = 2 miles
Please help me with this question!!
Answer:
ok so for g times h you would have to foil it and then you would multiply it by f of X
Four students share 7 feet of ribbon equally. How many feet of ribbon does each student get? 7 ÷ 4 = 7 4 = 4 Each student's share is 4 feet of ribbon.
Answer:
Each student gets 1.75 ft of ribbon
Step-by-step explanation:
r × 4 = 7
First, divide the given factor by itself in order to get the variable by itself.
4 ÷ 4
Next, divide the product by the given factor bc what you do to the left, you must do to other side.
7 ÷ 4
Last, right down your new equation and find you solution.
New Equation: r = 1.75
Answer:
Step-by-step explanation:
PLEASE HELP THIS IS SUPER IMPORTANT!!!! A culture of bacteria has an initial population of 860 bacteria and doubles every 9
hours. Using the formula Pt= P0x2t/d, where Pt is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 4 hours, to the nearest whole number?
Answer:
1170Step-by-step explanation:
Substitute values into given equation and solve for P(t):
P(t) = P₀*2^(t/d)P(4) = 860*2^(4/9) = 1170 (rounded)A gardener uses a rainwater collection barrel (storage container) shaped like a right cylinder to store water for his plants. The barrel has a radius of 1.5 feet and a height of 3.5 feet. The gardener plans to build a small square fence so that the barrel just fits inside the square fence as shown here.
Which of the following is the best approximation of the perimeter of the fence the gardener will build?
A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet
Answer:
Option C
Step-by-step explanation:
Barrel (storage container) is enclosed in a small square fence.
Since, barrel is touching the surfaces from four sides of the cylindrical barrel.
Length of each side of the square fence = Diameter of the barrel
= 2(radius of the barrel)
= 2(1.5)
= 3 feet
Perimeter of a square = 4(Side of a square)
= 4(3)
= 12 feet
Therefore, Option C will be the correct option.
2.) Write the probability as a fraction in simplest form. P (consonant) *
5 points
B
A
С
F.
D
1/6
2/3
Ο Ο Ο Ο
0.75
2
Answer:
2/3
Step-by-step explanation:
You have 6 letters, and 4 of them are consonants, so:
4/6 simplify it by 2:
2/3
Answer:
1/6
Step-by-step explanation:
[tex] \frac{4}{6} \times \frac{1}{4} [/tex]
ahhh help its PLATO
'la
Answer:
D
Step-by-step explanation:
To find the inverse of a function, first replace f(x) with y.
Next, switch all the x's and y's, and then solve for y.
Finally, replace y with f-1(x).
5x + 1 over 2y2
What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
Step-by-step explanation:
So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.
what is the corrct answer
PLEASE, PLEASE, PLEASE HELP ASAP!!!
A car salesperson earns a monthly salary of $1000 per month plus $150 for each car sold. The equation y = 150x + 1000 represents the total monthly salary. Graph the equation using the slope and y-intercept.
Answer:
There is the graph of money made to cars sold
The Graph is provided in the below image.
How to find the graph of an equation using slope and y-intercept?Slope and y-intercept are used to graph an equation in the following ways:
The equation y = mx + b's y-intercept is equal to b.Draw a y-intercept plot. The key message is (0, b).To solve the equation y = mx + b, get the slope=m.Rise above from (0,b) by m units and to the right by 1 unit.With your line, join those two spots together.How to solve it?To solve the question we follow the steps in the given instructions.
The intercept is 1000Plot (0,1000)The slope is 150Make a rise of 150 units upwards and a run of 1 unit to the right. That gives our second point on the line (1,1150)We then join our line to get the required graph.Learn more about graphs here-
brainly.com/question/16608196
#SPJ2
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
the formula is C=2√πA
so simplifying that would give us c=2(4π)
simplify again and we get c=8π
gary has $227.36 in his bank account. her must maintain a minimum balance of $550 in his account to avoid paying monthly service fee. how much money can gary deposit into his account to avoid paying this fee?
Answer:322.64 (I think)
Step-by-step explanation:
550-227.36=322.64
Answer:
what the other person said here
A shop owner spent $540 to purchase a stock of computer keyboards. If the price of each keyboard had been reduced by $2, he could have bought 3 more keyboards. Find the price of one keyboard.
Answer:
Price before discount = $20 per keyboard
Price after discount = $18 per keyboard
Before the discount, you can buy 27 keyboards. After the discount, you can buy 30 keyboards.
===============================================
Work Shown:
k = cost of one keyboard before the price reduction
540/k = amount of keyboards purchased before the price reduction
k-2 = cost of one keyboard after the price reduction
540/(k-2) = amount of keyboards purchased after the price reduction
540/(k-2) = (540/k) + 3
--------------
If you multiply both sides by the LCM k(k-2), then you'll clear out the fractions and we can solve for k like so
540/(k-2) = (540/k) + 3
540k = 540(k-2) + 3k(k-2)
540k = 540k - 1080 + 3k^2 - 6k
0 = 540k - 1080 + 3k^2 - 6k - 540k
0 = 3k^2 - 6k - 1080
3k^2 - 6k - 1080 = 0
3(k^2 - 2k - 360) = 0
k^2 - 2k - 360 = 0
(k - 20)(k + 18) = 0
k-20 = 0 or k+18 = 0
k = 20 or k = -18
We ignore the negative result because a negative price doesn't make sense.
--------------
If k = 20, then
540/k = 540/20 = 27
Meaning that you can buy 27 keyboards before the price reduction
In other words, (27 keyboards)*(20 dollars per keyboard) = 540 dollars total.
After the price reduction, the cost per keyboard is now k-2 = 20-2 = 18
We can now buy 540/(k-2) = 540/18 = 30 keyboards, which is an increase of 30-27 = 3 extra keyboards. This helps confirm we have the correct answer.
Answer:
$20
Step-by-step explanation:
X: the price of a keyboard
Y: number of keyboards to buy (original)
The shop owner spent $540 to purchase a stock of computer keyboards, so:
XY=540
⇒X=540/Y
If the price of each keyboard had been reduced by $2, he could have bought 3 more keyboards:
(X-2)(Y+3)=540
⇒3X-2Y=6
⇒3.540/Y – 2Y=6
⇒Y=27
⇒X=20
⇒ the price of one keyboard: $20
Use the following function rule to find f(8). f(x) = (-4 + x)2
f(8) =
Answer:
16
Step-by-step explanation:
f(x) = (-4 + x)^2
Let x=8
f(8) = (-4 + 8)^2
Parentheses first
= 4^2
Then powers
= 16
Multiply the binomials: (8a - 3b) (3a - 8b)
Answer:
24a²-73ab+24b²
Step-by-step explanation:
(8a - 3b) (3a - 8b) =
24a²-64ab-9ab+24b²
= 24a²-73ab+24b²
rectangle what shape
Square
_________________
Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1
Answer:
Two real distinct solutions
Step-by-step explanation:
Hi there!
Background of the Discriminant
The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].
All quadratic equations can be solved with the quadratic formula: [tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].
When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.
When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.
When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.
Solving the Problem
[tex]3x^2+5x=-1[/tex]
We're given the above equation. It hasn't been organised completely in [tex]ax^2+bx+c=0[/tex], but we can change that by adding 1 to both sides to make the right side equal to 0:
[tex]3x^2+5x+1=0[/tex]
Now that we can identify the values of a, b and c, we can plug them into the discriminant:
[tex]D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13[/tex]
Therefore, because the discriminant is positive, the equation has two real, distinct solutions.
I hope this helps!
3. A drinking straw of length 21 cm is cut into 3 pieces. The length of the first piece is x cm.
The second piece is 3 cm shorter than the first piece. The third piece is twice as long as the
first piece
State, in terms of x, the length of EACH of the pieces.
(2 marks)
(ii)
Write a simplified expression, in terms of x, to represent the sum of the lengths of
the three pieces of drinking straw.
(2 marks)
(iii)
Hence, calculate the lengths for the 3 pieces of straw
(4marks)
Answer:
I'll setup the problem and you can do the calculations
Step-by-step explanation:
Total length of straw - L
Length of piece 1 - x
Length of piece 2 - y
Length of piece 3 - z
What's given and the answer to (i)
y = x - 3
z = 2x
(ii) L = x + y + z = x + x - 3 + 2x
L = 4x-3
(iii) x = (21+3)/4 = 24/4
leaving you to calculate x
then substitute x into expressions for y & z above and you will have the answer
comment if you have questions
What is the measure in radians for the central angle of a circle whose radius r = 4 cm, and intercepted arc length s = 1.2 cm? Enter your answer as a decimal in the box. radians
Answer:
17.1972degrees
Step-by-step explanation:
length of an arc = theta/360 * 2πr
Substitute the given angle;
1.2 = theta/360 * 2(3.14)(4)
1.2 = theta/360 * 25.12
1.2/25.12 = theta/360
0.04777 = theta/360
theta = 360 * .04777
theta = 17.1972
Hence the required angle is 17.1972degrees
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares
BNATT73ZGEZZU63F
free reedem code
Thanks! But what is it for??
Answer:
Thanks I got my free thing from this code that points out where to redeem it
Step-by-step explanation:
What is the sign of -x/-y when x > 0 and y > 0?
Answer:
pretty sure its positive
Step-by-step explanation:
hope this helps, have a great day!
Answer:
A is correct
Step-by-step explanation:
if we know that both x and y are positive, they are both going to be negative
and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something
Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches
Answer:
The maximum height that the stone reaches is of 26 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
y = -2x2 + 8x + 5
Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]
What is the maximum height that the stone reaches?
y value of the vertex. So
[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]
[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]
The maximum height that the stone reaches is of 26 feet.
Help I need an answer asap
Answer:
6
Step-by-step explanation:
To find how many perennials there are, multiply the amount of plants by the percent of perennials. When you multiply percents, just put the percent behind the decimal
60x0.35=21
There are 21 perennials
Do the same for the biennials:
60x0.25=15
Therefore 15 biennials
Subtract the amount of perennials from the amount of biennials
21-15=6
There is 6 more perennials than biennials
Answer:
the answer is 6
21-15=6
Step-by-step explanation.
35% of 60 = 21 for perenalis
25% of 60 = 15 for biennials
40% of 60 = 24 for annuals
Se desea construir un parque con forma de sector circular con un radio de 402 pies y un ángulo central de 45°. ¿Cuál será la superficie ocupada por dicho parque?
Answer:
63462 pies
Step-by-step explanation:
De la pregunta anterior, debemos encontrar el área del sector
La fórmula se da como:
θ / 360 × πr²
Dónde:
θ = 45 °
radio = 402 pies
Área del sector =
45/360 × π × 402²
= 63461.742399 pies
Aproximadamente el área de la ocupada por el parque = 63462 pies
if someone answers this i won’t drop out
Answer:
d
Step-by-step explanation:
