Answer:
3 hours and 55 minutes
Step-by-step explanation:
Find the values that will make the equations true.
options:
a = 49
a = 27.5
a = 7
a = 24.5
Find the area .simplify your answer
Answer:
Area = 6x² - 20x + 16
Step-by-step explanation:
The area of a rectangle is length x width.
Plug the values into that equation:
\(A = (2x-4)(3x-4)\)
Now you use the FOIL method to find the answer:
First: 2x × 3x = 6x²
Outer: 2x × (-4) = - 8x
Inner: (-4) × 3x = - 12x
Last: (-4) × (-4) = 16
Area = 6x² + (-8x) + (-12x) + 16
Area = 6x² - 20x + 16
a market woman bought n eggs at the rate of 12 eggs at €60. 8 of the eggs were broken so she sold the remaining at the rate of 4 eggs at €24 and made a profit of €12. how many eggs did she buy.
Answer:26 eggs
Step-by-step explanation: yes
The market woman bought 60 eggs.
The market woman bought n eggs at the rate of 12 eggs for €60.
So, the cost price of each egg is given by:
Cost price per egg = €60 / 12 = €5
The total cost of n eggs is the cost price per egg multiplied by the number of eggs (n):
Total cost = €5 * n = 5n
After buying n eggs, 8 of them were broken.
So, the market woman had (n - 8) eggs left to sell.
She sold the remaining eggs at the rate of 4 eggs for €24.
The selling price of each egg is given by:
Selling price per egg = €24 / 4 = €6
The total selling price of the remaining (n - 8) eggs is the selling price per egg multiplied by the number of remaining eggs (n - 8):
Total selling price = €6 * (n - 8) = 6n - 48
The profit is the difference between the total selling price and the total cost:
Profit = Total selling price - Total cost
Since the problem states that the market woman made a profit of €12, we can set up the equation:
6n - 48 - 5n = 12
Solve for n.
Combine like terms:
n - 48 = 12
Add 48 to both sides:
n = 60
So, the market woman bought 60 eggs.
To learn more on equation click:
https://brainly.com/question/14468218
#SPJ7
qualitative and quantitative what do they mean and give 5 examples of each
Answer:
qualitative is what the quality is of an item
quantitative is the quantity or how much there is of an item.
Simplify:
За х4b
Simplify:
5x + 9y + x - 2y
Answer:
12ab
6x+7y
Step-by-step explanation: hope I helped
Answer:
( a ) 3a ( 4 ) b
= 12ab
( b )Let's simplify step-by-step.
5x + 9y + x − 2y
= 5x + 9y + x + − 2y
Combine Like Terms:
= 5x + 9y + x + −2y
= ( 5x + x ) + ( 9y + −2y )
= 6x + 7y
Hope it helps
Please mark me as the brainliest
Thank you
Find the slope of the graph
Answer:
-1
Step-by-step explanation:
You just have to divide the change in the x axis by change in the y axis on any arbitrary interval.
Answer:
-1
Step-by-step explanation:
Do rise-over-run for linear equations. Its the vertical change over the horizontal change between two points. Ex. between (-2,0) and (-1,-1) the line drops 1 unit horizontally (-1) and moves to the right one unit (1) so the slope would be -1/1 = -1
Simplify the expression: 4x(x2 + 6x - 1) will mark brainliest pls help<3
the answer is 4x(8x-1) <33
what is the surface area, in square centimeters, of a cylinder with height of 10 cm and a radius of 6 cm
The surface area of the given cylinder is 602.88 square centimeters.
What is the surface area of a cylinder?The surface area of the cylinder is: A = 2πr(r+h)
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
The cylinder with a height of 10 cm and a radius of 6 cm.
⇒ A = 2πr(r+h)
Here h = 10 cm and r = 6 cm
Substitute the known values in the above formula,
⇒ A = 2(3.14)(6)(6+10)
⇒ A = (12.56)(6)(16)
Apply the multiplication operation, and we get
⇒ A = 602.88
Therefore, the surface area of the given cylinder is 602.88 cm².
Learn more about the surface area of a cylinder here :
brainly.com/question/14827013
#SPJ1
At the end of 1st Quarter of 2009 the median price of a single-family home in Charleston/No. Charleston was $184,990. Single-family home prices in Charleston/No. Charleston decreased from the 1st Qtr of 2008 by 8.15%. NOTE: Depreciation means a negative value for r. (a). Estimate the median price of a single-family home in the 1st Qtr of 2008.
(b). If the median price of a single-family home falls at the same rate for the next 2 years, estimate the median price of a single-family home in the 1st Qtr of 2011.
The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.
(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.
(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.
To learn more about median click here: brainly.com/question/300591
#SPJ11
write a division equation that represents the question: how many 3/4 are in 5/4
Answer:
1,25/0,75
Step-by-step explanation:
3/4 = 0.75
5/4= 1.25
Answer:
One. See why ↓
5/4 is an improper fraction. We want a mixed number where the numerator is greater than the denominator for this to be right, so convert 5/4 to 1 1/4.
Typically speaking, there is only 1 of 3/4 in 5/4.
If this was 6/4, 3/4 would appear twice. In this case,3/4 only appears once because it is comparing to an uneven number that is not a factor of 3. ↓Therefore,
There is 1 of 3/4 in the number, 5/4.
your clients bust measurement is 32 inches. if you will draft the bodice pattern using the metric system, what is its equivalent to centimeters
Answer: 81.28 centimeters
1 inch = 2.54 centimeters
Multiply
32 x 2.54 = 81.28
Answer: 81.28 centimeters
Step-by-step explanation: Since there are 2.54 centimeters in an inch, there are 2.54 x 32 = 81.28 centimeters in 32 inches! Hope this helps!
Please help me out with this
Answer:
6\sqrt3
Step-by-step explanation:
Since 30-60-90 tri, small side is 6.
This means x=\(6\sqrt3\)
Answer:
\(x = 6\sqrt{3}\)
Step-by-step explanation:
Utilize the trigonometric ratio cosine.
\(\cos(30\textdegree ) = \dfrac{x}{12}\)
Solve for x by multiplying both sides by 12.
\(12\cos(30\textdegree ) = x\)
\(12\left(\dfrac{\sqrt{3}}{2} \right) = x\)
\(x = 6\sqrt{3}\)
What is the absolute value of -5+3+-(10)
Answer:
12
Step-by-step explanation:
\(|-5+3+(-10)|\\\\=|-2-10|\\\\=|-12|\\\\=12\)
5 divided by 2,165 equals?
answer:
1/433 (decimal: 0.002309)
step-by-step explanation:
5/2,165
= 1/433
to change 1/433 to decimal we'll divide the numerator by the denominator-
1÷433
=0.00230946882
so we're going to round to the ten-millionths place
5 or more raise the floor, 5 or less let it rest
4>5
so 0.002309
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
I need help. Not sure how to complete this. Its attached below.
Answer:
The inequality for the perimeter to be atleast 300 feet is
Step-by-step explanation:
\(x\geq 142\)
For each one-year period after a car was purchased, its value at the end of the year was 12% less than its value at the beginning of the year. The equation y= p(0.88)^4 can be used to model the value of the car 4 years after purchase.
If the value of a car 4 years after it was purchased is $15,832, what was the value of the car when it was purchased?
Round your answer to the nearest dollar.
The value of the car when it was purchased is $26400
How to determine the value of the car when it was purchased?From the question, we have the following parameters that can be used in our computation:
Value after four years = 15832
Also, we have
Function, y = p(0.88)^4
So, we have
p(0.88)^4 = 15832
Divide both sides of the equation by (0.88)^4
p = 26400
Hence, the price is 26400
Read more about exponential function at
https://brainly.com/question/11464095
#SPJ1
Jason Pawloski is married and claims 2 allowances. How much is withheld from his weekly paycheck of $550 for the last week of December for social security and Medicare taxes?
HELP PLS THIS IS DUE TODAY
Answer: length is 30
Step-by-step explanation:
length times width is area
A= L * W
W= 2/3L
600= L * \(\frac{2}{3}\)L
\(600=\frac{2}{3} L^{2} \\\frac{3}{2} (600)=L^{2} \\900=L^{2} \\30=L\)
Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
Makayla's car used 4 gallons to travel 148 miles. How many miles can the car go on one gallon of gas?
Answer:
34
Step-by-step explanation:
184 divided bye 4
Answer:
37 miles
Step-by-step explanation:
148/4
3. Which numbers are less than 15.162?
15.19
15.201
15.089
15.2
15.159
Answer: 15.089, 15.159
Evaluate the function f(x) = 4x-6 at the given values of the independent variable and simplify
In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.
What is function?In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.
Here,
To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.
For example:
f(0) = 4(0) - 6 = -6
f(1) = 4(1) - 6 = -2
f(2) = 4(2) - 6 = 2
f(-1) = 4(-1) - 6 = -10
f(3a) = 4(3a) - 6 = 12a - 6
To know more about function,
https://brainly.com/question/28278690
#SPJ1
Consider the quadratic function y = mx².
When a > 0, the graph
When a < 0, the graph
When a > 0, the graph opens upward
When a < 0, the graph opens downward
How to complete the statementsFrom the question, we have the following parameters that can be used in our computation:
The quadratic function y = mx²
The variable represents the leading coefficient
i.e. a = m
As a general rule:
Equations with negative leading coefficients open downwards, while other open upwards
Read more about quadratic equation at
https://brainly.com/question/1214333
#SPJ1
for the following exercise, consider the following scenario: a town has an intial population of 50000 . it grows at a constant rate of 5000 per year. find the linear function that model's the town's population p as a function of the year, t , where t is the number of years since the model began.
The required function is P(t)=50000 + 5000t.
In this problem we need to form the function of the population in a town.
Here it is given that the initial population of the town is 50000.
the rate at which the population increases is 5000 per year.
So, the increase for the first year will be 5000. And the population will be 55000.
Then again for the next year the growth will be 5000 and the population will be 50000 + (5000×2)
= 60000
So we can see clearly that the population is varying with time and we can write the function as P(t)=50000 + 5000t where t is the time in years.
To learn more about the function visit the link:
https://brainly.com/question/12431044
#SPJ4
Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price of all the plates then became $8. What was the total number of plates Mrs Lim bought in all?
Answer: 6
Step-by-step explanation:
Let x represent the number of plates bought for $6
Let y represent the Total number of plates bought = x + 1
Remember that Mrs. Lim bought another plate for $18
Total cost ÷ Total plates = Average Cost
\(\dfrac{6x+18}{x+1}=8\\\)
6x + 18 = 8(x + 1)
6x + 18 = 8x + 8
18 = 2x + 8
10 = 2x
5 = x
y = x + 1
= 5 + 1
= 6
solve the linear equation systems or show they are inconsistent
x - 2y +32 = 7 2x + y +z = 4 --3x +2y - 2 = -10 (b) 3r - 2y + 2z = 7:1 - 3y +22 2x - 3y + 4z = 6 - 1 0 (a) + 2y - 2 2x - 4y + z - 2x + 2y - 32 -3 -- 7 4 (d) x + 4y - 3x = -8 3x - y + 3 = 12 +y + 6 = 1
Answer:
The system is inconsistent or incomplete, and we cannot determine a solution for both a and b.
Step-by-step explanation:
Let's solve each system of linear equations one by one.
(a) x - 2y + 32 = 7
2x + y + z = 4
-3x + 2y - 2 = -10
To solve this system, we can use the method of elimination or substitution. Here, let's use the method of elimination:
Multiplying the first equation by 2, we get:
2x - 4y + 64 = 14
Adding the modified first equation to the second equation:
2x - 4y + 64 + 2x + y + z = 14 + 4
Simplifying, we have:
4x - 3y + z = 18 --> Equation (1)
Adding the modified first equation to the third equation:
2x - 4y + 64 - 3x + 2y - 2 = 14 - 10
Simplifying, we have:
-x - 2y + 62 = 4 --> Equation (2)
Now, we have two equations:
4x - 3y + z = 18 --> Equation (1)
-x - 2y + 62 = 4 --> Equation (2)
We can continue to solve these equations simultaneously. However, it seems there was an error in the input of the equations provided. The third equation in the system (a) appears to be inconsistent with the first two equations. Therefore, the system is inconsistent and has no solution.
(b) 3r - 2y + 2z = 7
1 - 3y + 22 = 2
2x - 3y + 4z = 6 - 10
Simplifying the second equation:
-3y + 22 = -1
Rearranging, we have:
-3y = -1 - 22
-3y = -23
Dividing both sides by -3:
y = 23/3
Substituting this value of y into the first equation:
3r - 2(23/3) + 2z = 7
Simplifying, we get:
3r - (46/3) + 2z = 7 --> Equation (3)
Substituting the value of y into the third equation:
2x - 3(23/3) + 4z = -4
Simplifying, we get:
2x - 23 + 4z = -4
2x + 4z = 19 --> Equation (4)
Now, we have two equations:
3r - (46/3) + 2z = 7 --> Equation (3)
2x + 4z = 19 --> Equation (4)
We can continue to solve these equations simultaneously or further manipulate them. However, there seems to be an error in the input of the equations provided. The second equation in the system (b) is not complete and doesn't form a valid equation. Therefore, the system is inconsistent or incomplete, and we cannot determine a solution.
Learn more about linear:https://brainly.com/question/2030026
#SPJ11
v=<8,3,5>
w=<2,2,2>
Find the cosine of the angle between v and w
If v=<8,3,5> w=<2,2,2>, the cosine of the angle between vectors v and w is approximately 0.93294.
To find the cosine of the angle between vectors v and w, we will use the formula:
cos(θ) = (v • w) / (||v|| ||w||)
where θ is the angle between the vectors, v • w is the dot product of v and w, and ||v|| and ||w|| are the magnitudes of v and w, respectively.
First, let's find the dot product (v • w):
v • w = (8 * 2) + (3 * 2) + (5 * 2) = 16 + 6 + 10 = 32
Next, let's find the magnitudes of v and w:
||v|| = √(\(8^2 + 3^2 + 5^2\)) = √(64 + 9 + 25) = √98
||w|| = √(\(2^2 + 2^2 + 2^2\)) = √(4 + 4 + 4) = √12
Now, let's find the cosine of the angle between v and w:
cos(θ) = (32) / (√98 * √12) = 32 / (9.899494936611665 * 3.4641016151377544) ≈ 0.93294
To learn more about cosine, refer:-
https://brainly.com/question/29114352
#SPJ11
The cosine of the angle between v and w is 0.9332
To find the cosine of the angle between v and w, we can use the formula:
cos(Ф) = (v.w) / (||v|| ||w||)
where Ф is the angle between v and w, the . represents the dot product, and || || represents the magnitude or length. First, let's calculate the dot product of v and w:
v.w = 8*2 + 3*2 + 5*2 = 32
Next, let's calculate the magnitudes of v and w:
||v|| = sqrt(8^2 + 3^2 + 5^2) = sqrt(98)
||w|| = sqrt(2^2 + 2^2 + 2^2) = sqrt(12)
Now we can substitute these values into the formula:
cos(Ф) = (v.w) / (||v|| ||w||)
cos(Ф) = 32 / (sqrt(98) * sqrt(12))
cos(Ф)= 32 / (sqrt(1176))
cos(Ф) = 32 / 34.29
cos(Ф)= 0.9332
Learn more about cosine here: https://brainly.com/question/31897324
#SPJ11
Find AB
I need help !
9514 1404 393
Answer:
d. AB = 54
Step-by-step explanation:
The triangle is isosceles, so AB = AC.
(4x +6) = (5x -6)
12 = x . . . . . . . . . . . . add 6-4x to both sides
Then the length of AB is ...
AB = 4x +6 = 4(12) +6 = 48 +6
AB = 54
PLEASE HELP 1 MILLIOM POINTS!!! line n containing Q(-2,5), and perpendicular to the graph of y= -1/2x+5
PLEASE EXPLAIN IF YOU DO YOU ARE AEWSOME!! I WILL GIVE BRAINLIEST TO BEST ANSWER!!!
Answer:
y = 2x + 9Step-by-step explanation:
Perpendicular lines have negative - reciprocal slopes
Given line:
y = -1/2x + 5Perpendicular line:
y = 2x + bUse point Q(-2, 5) to complete the equation of the line:
y - 5 = 2(x - (-2))y - 5 = 2x + 4y = 2x + 9The measure of an angle is 81.1°. What is the measure of its supplementary angle?
Answer: 98.9°
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180 degrees.
=180-81.1
=98.9°