Given:
Cost price, CP=$2.90.
Sales tax rate, S=6.25%.
The sales tax T can be found as,
\(\begin{gathered} T=\frac{S}{100}\times CP \\ =\frac{6.25}{100}\times2.9 \\ =0.18 \end{gathered}\)Therefore, the sales tax of the glitter is $0.18.
Hence, option B is correct.
x + 2y - z = -2
2x -8y + z = -7
-2x + 12y - 3z = 7
Answer:
+
2
−
=
−
2
2
−
8
+
=
−
7
−
2
+
1
2
−
3
=
7
Step-by-step explanation:
Write the relation as a set of ordered pairs. A relation. An arrow goes from negative 2 to 4, 0 to 0, 2 to 4. a. ordered pairs: {(4, –2), (0, 0), (2, 4)} b. ordered pairs: {(–2, 4), (0, 0), (4, 2)} c. ordered pairs: {(–2, 4), (0, 0), (2, 4)} d. ordered pairs: {(4, –2), (0, 0), (4, 2)} Please select the best answer from the choices provided A B C D Mark this and return
The required relation as a set of ordered pairs is (C) {(–2,4), (0,0), (2,4)}.
What are the Ordered pairs in the set?A set of ordered pairs is any pair of components that appear in a specific sequence and are wrapped in brackets.
If there are two elements, "a" and "b," then the two distinct pairings are "(a, b)" (b, a).
A is referred to as the first element and B is referred to as the second element in an ordered pair (a, b).
A pair of numbers in a particular order is known as an ordered pair.
The ordered pairings (1, 2) and (-4, 12) are two examples.
It matters which of the two numbers comes first: (2, 1) and (1, 2) are not the same thing (2, 1).
So, an arrow in a relationship travels from -2 to 4, 0 to 0, and 2 to 4.
Consequently, by virtue of ordered pairs.
The ordered pairings are obtained:
(-2, 4)
(0, 0)
(2, 4)
Hence, the pairs are (-2, 4), (0, 0), and (-2). (2, 4)
Therefore, the required relation as a set of ordered pairs is (C) {(–2, 4), (0, 0), (2, 4)}.
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Correct question:
Write the relation as a set of ordered pairs.
A relation. An arrow goes from negative 2 to 4, 0 to 0, 2 to 4.
a. ordered pairs: {(4, –2), (0, 0), (2, 4)}
b. ordered pairs: {(–2, 4), (0, 0), (4, 2)}
c. ordered pairs: {(–2, 4), (0, 0), (2, 4)}
d. ordered pairs: {(4, –2), (0, 0), (4, 2)}
Please select the best answer from the choices provided
A
B
C
D
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
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MISTERBRAINLYY!!
The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5cm×10cm×7.5cm can be painted out of this container?
There are three area options for the number of bricks:
4165551250How many bricks can be painted out of a container?
The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:
n = A / A'
A' = w · h
Where:
w - Width of the brick, in centimeters.h - Height of the brick, in centimeters.There are three possible answers:
Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm
A' = 22.5 · 10
A' = 225
n = 93750 / 225
n = 416.667
n = 416
Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm
A' = 22.5 · 7.5
A' = 168.75
n = 93750 / 168.75
n = 555.556
n = 555
Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm
A' = 10 · 7.5
A = 75
n = 93750 / 75
n = 1250
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helpppppppppppppppppppppppppppppppppppppp
Answer:
the last one
Step-by-step explanation:
there is no rhythm
Share your own multi-step combination problem
My own multi-step combination problem is given below:
Amanda was planning a dinner party for 10 people, and she want to choose a menu of 3 fruit , 2 meat pie, and 2 desserts. Amanda have a total of 5 fruit , 4 meat pie, and 3 desserts to choose from. How many different dinner menus can Amanda create?How do you solve the multi-step combination?To solve this problem, Amanda need to use the formula for combinations and it is:
nCr = n! / (r! x (n-r)!)
where:
n = total number of items to select from
r is the number of items to select.
First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:
5C3
= 5! / (3! x (5-3)!)
= 10
Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be
4C2
= 4! / (2! x (4-2)!)
= 6
Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:
3C2
= 3! / (2! x (3-2)!)
= 3
To have the total number of dinner menus, we have to multiply these three numbers together:
= 10 x 6 x 3
= 180
Therefore, one can say that Amanda have 180 different dinner menus that she can be create.
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HELP I NEED THIS DONE ITS DUE TODAY
Answer:
A = 4.5E2 * 3.2E6 * 3.65E2 = 4.5 * 3.2 * 3.65 * 10^10
A = 52.6 * 10^10 = 5.3 * 10^11 grams
In a standard deck of cards (NOT including jokers), there are:
4 suits (diamonds, hearts, clubs, spades)
13 number and face cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King)
2 colors (red, black)
Face cards are Jack, Queen, King
a) What is the probability of drawing a red or black card?
b) What is the probability of drawing a 7 of spades?
c) What is the probability of NOT drawing a Diamond?
d) What is the probability of drawing a black 2?
hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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a store buys 8 sweaters for $64 and sells them for $272, how much profit does the store make per sweater
Answer:
34
Step-by-step explanation:
dividing 8÷272=34
man how am I supposed to make a step by step explanation for this
Sixty men can build a wall in 40days but though they begin the work together, 55 men quit every ten days. The Time needed to build the wall is?
It would take 370 days to build the wall with the given conditions.
If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:
60 men x 40 days = 2400 man-days
However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.
The number of man-days required for the first 10 days is:
60 men x 10 days = 600 man-days
The number of man-days required for the second 10 days is:
5 men x 10 days = 50 man-days
The total number of man-days required for the first 20 days is:
600 man-days + 50 man-days = 650 man-days
The remaining work can be completed by the 5 men in:
2400 man-days - 650 man-days = 1750 man-days
Therefore, the total time needed to build the wall is:
20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days
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9 ten thousands 4 hundreds times 10
Answer:
900400*10=9004000
900400*10=9004000900400*10=9004000900400*10=9004000
Translate the sentence into an equation Twice the difference of a number and 9 is equal to 5use the variable w for the unknown number
Let w the unknown number. Then, you have
\(\begin{gathered} 2(w-9)\rightarrow\text{ Twice the difference of a number and 9} \\ 2(w-9)=5\rightarrow\text{Twice the difference of a number and 9 is equal to 5} \end{gathered}\)Hi can someone please give a full explanation on how to solve this problem? I’ll give Brainliest
Answer:
C is correct.
Step-by-step explanation:
The area of the rectangle is 10 × 6, or 60 square meters.
The area of the triangle is 1/2 × 7 × 6, or 21 square meters.
So the area of the shaded region is the area of the rectangle minus the area of the triangle. That area is 60 - 21, or 39 square meters. C is correct.
use structure find the slope of the line that passes through each pair of points y (3,1),x(0,0)
The slope of the line that passes through the points (3,1) and (0,0) is 1/3.
We know that,
Slope of a line passing through the points (a,b) and (c,d) is given by:-
(d - b)/(c - a)
Here we have,
(a,b) = (3,1) and,
(c,d) = (0,0)
Hence, we can write,
Slope of a line passing through the points (a,b) and (c,d) = (0-1)/(0-3) = -1/(-3) = 1/3.
Slope of a line
The slope of a line is its vertical change divided by its horizontal change, also known as rise over run. When you have 2 points on a line on a graph the slope is the change in y divided by the change in x. The slope of a line is a measure of how steep it is.
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What is the area of a rectangle with a length of 10 feet and a width that is 1.5 feet longer than the length?
A. 11.5 square ft
B. 15 square ft
C. 24 square ft
D. 115 square ft
Answer:A
Step-by-step explanation:
To paint a house, a painting company charges a flat rate of $500 for supplies plus $50 for each hour of labor. What is the slope of the line?
PLEASE HELP!!!!!!!!!!!!!!!!!!! I'll NAME BRAINLIEST!!!!!!!!!!!!!!!!!A moving-van rental company uses the polynomial 110 + 0.65(m – 200) to calculate the rental charges if a customer drives a van more than 200 miles in one day. In the polynomial, m is the total number of miles that the customer drove the van during the day. Use the Distributive Property to write an equivalent expression for the total cost of renting the van and driving it more than 200 miles in one day.
Answer:I think it would be 84 + 0.45m + 108.
Which simplified could be 0.45m + 192.
hope this helps!
Step-by-step explanation:
. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
Perform the indicated operation (x-3y)(3x-11y)
Answer:
\(3x^{2} - 20xy + 33y^{2}\)
Step-by-step explanation:
\((x-3y)(3x-11y)\\3x^{2} - 9xy - 11xy + 33y^{2} \\3x^{2} - 20xy + 33y^{2}\)
Consider triangle ABC with the measure of an angle B = 60゚ and sidelinks a equal 4 &c equal 5 what option listed is an expression that is equivalent to the length of side B
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The correct option is B.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
\(c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}\)
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
The length of the sidelink b using the cosine rule can be written as,
\(b = \sqrt{a^2+c^2-2ac\cos(\angle B)}\\\\b = \sqrt{4^2+5^2 - 2(4)(5)(\cos 60^o)}\\\\b = \sqrt{16+25-20}\)
Hence, the correct option is B.
The complete question is:
Consider ABC with the measure of angle B equal to 60 degrees, and side lengths a=4 and c=5. Which option lists an expression that is equivalent to the length of side b?
Options are given in the image below.
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18+ 4(28) use the properites of operations to evaluate this expressions?
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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sum of 2nd term of an infinite geometric series is -1/2 and the third term is 1/4 find the sum of series
Answer:
2
Step-by-step explanation:
1 plus 1 due to the characterisation of the number 1 increasing by 1 gives you 2
what is the circumference if the diameter is 21in and pi is 22/7
Answer:
66 in
Explanation:
the circumference can be calculated as:
\(C=d\cdot\pi\)Where d is the diameter and π is 22/7.
So, replacing the values, we get:
\(C=21\cdot\frac{22}{7}=\frac{21\cdot22}{7}=\frac{462}{7}=66\text{ in}\)Therefore, the circumference is 66 in.
PLZ Help
Your school carnival charges $2 for admission and $.50 for
each game. You go to the carnival with $5.50. Write and solve
an inequality that represents the possible number of games
you can play. What is the maximum number of games you can
play?
Answer:
5.50=2+0.50x
Step-by-step explanation:
Use the coordinate grid below to draw a square the has one vertex in each quadrant, and has an area of 16 square units. Prove that your figure has the correct area using distance and area calculations.
PLEASE HELP AND NO LINKS!
The area of the cube using the distance formula is 16 square units and each side measure is 4 units.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a cube shown in the picture.
Area of the cube = 16 square units
Area of cube = side²
Side = √16 = 4 units
Each side of the cube = 4 units.
From the attached figure, we can see each side lies on each quadrant.
Using the distance formula, we can calculate the distance between two
points:
\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The area of the cube = 4×4 = 16 square units
Thus, the area of the cube using the distance formula is 16 square units and each side measure is 4 units.
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What is the answer I need help and I can’t seem to figure it out
The new dimension of the rectangular field are 45 ft by 120ft.
How to find the new dimensions of the field?If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:
lenght = K*L
width = K*W
In this case the original dimensions are:
L = 30ft
W = 80ft
And the scale factor is K = 1.5, then the new dimensions are:
L' = 1.5*30ft = 45ft
W' = 1.5*80ft = 120ft
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How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
John can clean pools at a constant rate of 3/5 pools/hours. How many pools can John clean in 10 hours?
Answer:
30/5= 6
Explicción:
Lo utliplicas yl odivides ..m
Answer:
'peqdrit 8urehudhvh dn dhdhs c ch
Step-by-step explanation:
wehvcfkb,x bgc hd bhnld uhurheb egjyr g ehu just tryna get me some points
Multiply.
8×35
Enter your answer as a mixed number in simplest form by filling in the boxes
PLS HELP
Answer:
280
Step-by-step explanation:
Answer:
8×35=280.
This is the best I can give to you