Answer:
3 pounds of apples for $1.89
Step-by-step explanation:
1 pound of apples for $.79
so 3 pound x 0.79= 2.37
So 1.89 for 3pound is the better buy
Submit your answers to the following questions. Be sure to explain your reasoning for each; it is helpful to draw this out to get started to see any quantitative patterns that develop.
If you write the counting numbers in rows of 7 numbers each, like shown below (but you keep going), where all the number line up in seven vertical columns as you go. (Note in the example below, the number 13 is in the 2nd row and the 6th column.)
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
In which column would the number 100 land?
In which row?
Now write the counting numbers in rows of 6 numbers each. What’s the location of 100 in this array?
Write arrays with other length rows. Find a way to predict in which row and column 100 will land for any array of numbers.
The number 100 would land in column 2
The number 100 would land in row 14The location of 100 in rows of 6 numbers is row 16 and column 3The location of 100 in rows of n numbers is row q and column rIn which column would the number 100 land?Given that we have the array of numbers
The length of each row in the array is 7
Dividing 100 by 7, we have
100/7 = 14 Remainder 2
This means that
Column = 2
In which row would the number 100 land?In (a), we have
100/7 = 14 Remainder 2
This means that
Row = 14
The location of 100 in rows of 6 numbersHere, we have
The length of each row in the array is 6
Dividing 100 by 6, we have
100/6 = 16 Remainder 3
So, the location of 100 in rows of 6 numbers is row 16 and column 3
Predicting the row and column 100 will landLet the length of each row in the array be n
Dividing 100 by n, we have
100/n = q Remainder r
This means that the location of 100 in rows of n numbers is row q and column r
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What is the product of the polynomials below?
(7x2+2x+4)(2x+5)
Answer:
This is a simple multiplication problem.
Here is my steps:
(14x^3 + 35x^2 + 4x + 10x + 8x + 20)
Combine like terms:
(14x^3 + 35x^2 + 22x + 20)
And that is your answer^^
Answer:
14x3+ 39x2 +8x +20
Step-by-step explanation:
Use the distributive property and/or the FOIL (front, outer, inner, last) method.
First:
Multiply (7x2)(2x)
=14x3
Then (7x) (5)
=35x2
Second:
Multiply (2x)(2x)
=4x2
Then (2x)(5)
=10
Third:
Multiply 4(2x)
=8x
Then (4)(5)
=20
You should get:
14x3 +35x2 +4x2 +10 +8x +10
Add all common numbers.
You should get:
14x3+ 39x2 +8x +20
in slope intercept form what is the line perpendicular to y=2x -5 that passes through the (2, -5) point
The most appropriate choice for equation of line in slope intercept form will be given by-
\(y = -\frac{1}{2}x - 4\) is the required equation of line
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = \(tan\theta\)
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
The given equation of line is y = 2x-5
Slope of this line = 2
Slope of the line perpendicular to this line = \(-\frac{1}{2}\)
The line passes through (2 , -5)
Equation of the required line = \(y - (-5) = \frac{1}{2}(x - 2)\)
\(y +5=-\frac{1}{2}x+1\\y = -\frac{1}{2}x +1 -5\\y = -\frac{1}{2}x -4\)
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The radius of a circle is 9in. Find it’s circumference in terms of
\({ \bf{ \underbrace{Given :}}}\)
Radius of the circle "\(r\)" = 9 in.
\({ \bf{ \underbrace{To\:find:}}}\)
The circumference of the circle.
\({ \bf{ \underbrace{Solution :}}}\)
\(\sf\orange{The\:circumference \:of\:the\:circle\:is\:56.52\:in.}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
We know that,
\(\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }\)
\( = 2 \times 3.14 \times 9 \: in \\ \\ = 56.52 \: in\)
Therefore, the circumference of the circle is 56.52 in.
\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)
john is jogging on a straight jogging trail toward a flagpole at a speed of 500 ft/min. he is currentyl 1500 feet from the flagpole.
As per the unitary method, it take 3 minutes will it take John to reach the flagpole.
The term unitary method in math is defined as in which the value of one article is first obtained to find out the value of any required articles.
Here we have given that John is jogging on a straight jogging trail toward a flagpole at a speed of 500 ft/min. He is currently 1500 feet from the flagpole. And here we have to write an absolute value function that models John's distance from the flagpole after x minutes.
Here let us consider x be the time taken by John to reach the flagpole.
And here we know that
speed = 500 ft/min
height = 1500 feet
Then the absolute function for the given situation is written as,
=> f(x) = 500|x|
Apply the value of f(x) as 1500, then we get
=> 1500 = 500|x|
=> x = 3
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The following cost estimates were provided for your project: Cost of soil: $80.00 per cubic yard Cost of sand: $100.00 per cubic yard Cost of Sod: $100.00 per roll that is 3’ by 30’ Tree and shrubbery installation: $2500.00 You are at the final phase of your project and are doing final grading and landscaping. The estimates are 8 cubic yards of soil, 3 cubic yards of sand, 3600 square feet of sod, and tree/shrubbery installation. Including a 3 percent contingency, what is the estimated total cost?
The estimated total cost of the project is $7,663.20.
What is the estimated total cost?We need to add up the costs of soil, sand, sod, and tree/shrubbery installation, including the contingency.
Soil: 8 cubic yards x $80/cubic yard = $640
Sand: 3 cubic yards x $100/cubic yard = $300
Sod: 3600 square feet / 30 square feet/roll x $100/roll = $1200
Tree and shrubbery installation: $2500
Contingency: 3% x $4640 = $139.20
Total cost: $640 + $300 + $1200 + $2500 + $139.20 = $7,663.20
Therefore, The estimated total cost of the project is $7,663.20
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You randomly choose a tile. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth.The probability of choosing an odd number and then a 20
Answer:
P odd number, then 20) = 1 /14
Step-by-step explanation:
P( odd number) = number of odd numbers/ total
number of odd numbers = 3
total = 7
P( odd number) = 3/7
We keep the tile so that there are only 6 tiles left
P (20) = number of 20/ total
= 1/6
We multiply the probabilities together
P odd number, then 20) = 3/7 * 1/6 = 3/42 = 1 /14
7X -6Y=-3 what is the slope of the parallel and perpendicular line
Answer:
parallel: 7/6perpendicular: -6/7Step-by-step explanation:
You want the slopes of the lines parallel and perpendicular to 7x -6y = -3.
SlopeThe slope is the x-coefficient when the equation is in slope-intercept form:
y = mx +b
Solving for y gives ...
-6y = -7x -3
y = 7/6x +1/2 . . . . . divide by -6
The slope of the given line is 7/6.
ParallelA parallel line will have the same slope: 7/6.
PerpendicularA perpendicular line will have opposite reciprocal slope: -6/7.
3. What is the coefficient in the expression: 94a+2?
Answer:
The coefficient would be 94
Step-by-step explanation:
A coefficient is the number used to multiply the variable! Hope this helps!
NEED HELP ASAP Select from the drop-down menu to correctly complete the statement.
The product of 7 and 58 is
Choose...
because 58 is less than 1.
Drop downs: greater than 7
less than 7
equal to 7
The product of 7 and ⁵/₈ is less than 7 because ⁵/₈ is less than 1
How to find the product of fractions?We want to find the product of 7 and ⁵/₈.
Now, this will be expressed as;
7 * ⁵/₈.
Now, we are multiplying a whole number by a proper fraction that is less than 1 and as such, it means that the product will be lesser than 7 simply because ⁵/₈ is less than 1.
Thus;
7 * ⁵/₈ = 35/8
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1. Some jobs pay a commission plus bonus at the end of the year. The bonus may
be a percent of the
7% commission on all sales. At the end salesperson's total commission. Madelyn is a of the year, she receives a bonus sales representative for a luxury home builder. She receives of 5% of her total commissions for
the year. What is Madelyn's gross pay for a
year in which she had sales totaling $412,454?
Answer:
so let's start
Step-by-step explanation:
\(total \: sales = 412454 \\ 7\% = \frac{7}{100} \\ = 0.07 \\ 0.07 \: is \: rate \: of \: commision \: on \: total \: sales \\ 0.07 \times 412454 = 28871.78 \: dollars \\ but \: 5\% \: is \: given \: as \: percentage \: of \: the \: amount \: from \: 7\% \: commission \\ 5\% = \frac{5 }{100} \\ = 0.05 \\ 0.05 \times 28871.78 = 1443.589 \: dollars \: \\ total \: income \: = 28871.78 + 1443.586 \\ = 30.315.369 \: dollars \\ \\ thanks\)
Write a quadratic function for the area of the figure. Then, find the area for the given value of x.
x = 2.4
A(x)= (Simplify your answer.)
The quadratic function for the area of the triangle is: A(x) = x² / 2.
The area of triangle for the value of x = 2.4 units is 2.88 sq. units.
Explain about the quadratic function:A function or mathematical statement of degree two is a quadratic function. This indicates that two is the function's highest power. Hence, two is their highest power. A quadratic function must have a highest power of two. It cannot go either higher or lower. It ceases to be a quadratic if it is lower or higher. Quadratic functions are most frequently expressed in standard form.
Area of the right triangle is given as:
Area = 1/2 * base * height
from figure:
base is given as 'x'.
height is given as 'x'
Area A(x) = 1/2 * x * x
Area A(x) = x² / 2
thus, the quadratic function for the area of the triangle is: A(x) = x² / 2
Now, area for x = 2.4 units
area A(x) = (2.4)² / 2
area A(x) = 5.76 / 2
area A(2.4) = 2.88 sq. units
Thus, the area of triangle for the value of x = 2.4 units is 2.88 sq. units.
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Which of the following are solutions to the system of inequalities y<−x+5 and y≥3x+1?
A)
(1,0)
cross out
B)
(−2,2)
cross out
C)
(1,6)
cross out
D)
(0,1)
cross out
E)
(1,4)
cross out
F)
(−2,7)
From the graph attached below, the solution to the system of linear inequalities are (1, 4)
What is the solution to the system of linear inequalities?A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.
In the problem given;
y < - x + 5 ...eq(i)
y ≥ 3x + 1 ...eq(ii)
To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.
From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E
Kindly find attached graph below
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A submarine is moving parallel to the surface of the ocean at a depth of 626 m. It begins a
constant ascent so that it will reach the surface after travelling a distance of 4420 m.
a) What angle of ascent, to the nearest tenth of a degree, did the submarine make? (3
marks)
b) How far did the submarine travel horizontally, to the nearest metre, during its ascent to
the surface? (3 marks)
Answer:
a) the angle of ascent is 8.2°
b) the horizontal distance traveled is 4375 m
Step-by-step explanation:
depth of ocean = 626 m
distance traveled in the ascent = 4420 m
This is an angle of elevation problem with
opposite side to the angle = 626 m
hypotenuse side = 4420 m
a) angle of ascent ∅ is gotten from
sin ∅ = opp/hyp = 626/4420
sin ∅ = 0.142
∅ = \(sin^{-1}\) 0.142
∅ = 8.2° this is the angle of ascent of the submarine.
b) The horizontal distance traveled will be gotten from Pythagoras theorem
\(hyp^{2}\) = \(opp^{2}\) + \(adj^{2}\)
The horizontal distance traveled will be the adjacent side of the right angle triangle formed by these distances
\(4420^{2}\) = \(626^{2}\) + \(adj^{2}\)
adj = \(\sqrt{4420^{2}-626^{2} }\)
adj = 4375 m this is the horizontal distance traveled.
Write the expression below as a product of two factors.
-12p + 6y - 24
Answer:
− 6 ( 2 p − y + 4 )
Step-by-step explanation:
A bicycle wheel makes five rotations. the bicycle travels 44.48 ft. Find the diameter of the wheel in inches.
Answer:
2.42 feet
Step-by-step explanation:
the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588
Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference
We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius
We divide 2 from both sides of the equation (3.14)(radius) = 3.794
We divide pi from both sides (radius) = 1.208
Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius
1.208 * 2 = 2.416 or 2.42 rounded up
Final answer = 2.42 feet
Answer:
2.42 ft
Step-by-step explanation:
the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588
2)
A high school basketball team won exactly 65 percent
of the games it played during last season. Which of
the following could be the total number of games the
team played last season?
A) 22
B) 20
C) 18
D) 14
Answer:
To find the answer, we can use the formula:
number of won games / total number of games played = percentage won
Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:
number of won games / x = 0.65
To solve for x, we can cross-multiply:
number of won games = 0.65x
We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:
If the team played 22 games, then the number of won games is:
number of won games = 0.65 * 22 = 14.3
This is not a whole number value, so we can rule out choice A.
We can repeat this process for each answer choice. When we try choice C, we get:
number of won games = 0.65 * 18 = 11.7
This is also not a whole number value, so we can rule out choice C.
When we try choice D, we get:
number of won games = 0.65 * 14 = 9.1
This is also not a whole number value, so we can rule out choice D.
Therefore, the only remaining answer choice is B, which gives us:
number of won games = 0.65 * 20 = 13
This is a whole number value, so the team could have played 20 games in total last season.
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. What is the maximum area of a Norman window whose perimeter is 9 feet?
The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:
πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:
A = (πr^2)/2 + rh
To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:
r = (9 - 2h)/(π)
Now we can rewrite the area function in terms of h only:
A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)
Simplifying this equation, we get:
A = (1/2)(9h - h^2/π)
To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:
dA/dh = 9/2 - h/π = 0
Solving this equation, we find:h = 9π/2
Substituting this value of h back into the area function, we get:
A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4
Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
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The sum of two numbers is 12. The difference of the two numbers is 6. What are the two numbers?
Answer:
3 and 9
Step-by-step explanation:
x+y=12
y-x=6
y-x=6
+x. +x
y=6+x
x+(6+x)=12
6+2x=12
-6. -6
2x=6
/2. /2
x=3
3+y=12
-3. -3
y=9
Hopes this helps please mark brainliest
(8n2+8)–(4n2+6).................................
Answer:
2 (2n^2 + 1)
Step-by-step explanation:
Distribute
8n^2 + 8 – 1 (4n^2 + 6)
8n^2 + 8 – 4n^2 - 6
Subtract
8n^2 + 8 – 4n^2 - 6
8n^2 + 2 -4n^2
Combine Like Terms
8n^2 + 2 -4n^2
4n^2 + 2
Common Factor
4n^2 + 2
2 (2n^2 + 1)
Billy drove his car 290 miles in 5 hours. Sheila drove her car 132 miles in 2 hours. If each driver is traveling at a constant speed (in miles per hour), who is driving at a faster speed?
Answer:
Shelia is
Step-by-step explanation:
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What is 6% in decimal form
Answer:
.06
Step-by-step explanation:
6/100 is .06
Answer:
0.06
Step-by-step explanation:
to find the decimal form of 6%, you would divide 6 by 100. 6/100 in decimal form is 0.06.
hope this helps!
what is a cube game called
this is my last joke question because i don't wanna get banned first to answer correct wins and gets brainiest
Jack pours 1/3 gallon of fruit juice in 1 and 1/2 minutes. Assume that he bores at a constant rate. What fraction of a gallon of fruit juice does he pour in one minute?
Answer: 1/3+ 1 1/2 = 1.8333333333333 or 1 5/6
What fraction of a gallon of fruit juice does he pour in one minute? He poors 1 5/6 fruit jucie in one min
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 41) and matching the number on the gold ball (1 through 31). If one ticket is purchased what is the probability of winning the jackpot?
(Type answer as an integer or a simplified fraction)
Answer:
1 / 2,787,760,560
Step-by-step explanation:
The number of permutations is:
41 × 40 × 39 × 38 × 37 × 31 = 2,787,760,560
So the probability of winning the jackpot is 1 / 2,787,760,560.
Solve the compound inequality. Then graph the solution set.
s-2 <-10 or-3s < 6
Answer:
{s | s < -8 or s >= -2}
Step-by-step explanation:
In order to solve an inequality we simply have to isolate the variable by applying the opposite operations on each side.
s - 2 < -10 ... add 2 to both sides
s < -8
-3s <= 6 ... divide both sides by -3, since we are dividing a negative number you must flip the sign
x >= -2
Therefore the final answer would be {s | s < -8 or s >= -2} which is the 3rd graphed multiple choice answer as seen attached to this answer.
Write an equation for the function graphed below
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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can you please help me
3. To find the perimeter of a rectangle, use the equation , where P is the perimeter, l is the length and w is the width of the rectangle.
(a) A rectangular garden has a perimeter of 40 yd and a width of 5 yd. Use the equation and the replacement set to find the length of the garden. Show your work.
(b) A rectangular table top has a perimeter of 18.4 ft and a length of 6.75 ft. Use the equation and the replacement set to find the width of the table top. Show your work.
Answer:
a) 15yd
b)2.45ft
Step-by-step explanation:
P = perimeter, l=length and w = width of the rectangle
P = 2l+2w
a) 40 = 2l+2(5)
40 = 2l+10
30=2l
15=l
b) 18.4 = 2(6.75) + 2w
18.4 = 13.5+2w
4.9=2w
2.45=w
Draw a quick picture to find the product of 3×800
Answer:
daymn
it's gonna be okay