You are making gift baskets. each basket will contain three different types of candles: tapers, pillars ad jar candles. tapers cost $1 each, pillars cost $4 each, and jar candles cost $6 each. you put 8 candles costing a total of $24 in each basket, and you include as many tapers as pillars and jar candles combined. how many of each type of candle will be in a basket?
Chris went to the store to purchase 6.5 gallons of milk. When he got to the store, he noticed that the milk was no longer sold in gallons but in liters. Which of the following shows the number of liters, with the correct number of significant digits, Chris needs to buy in order to have 6.5 gallons of milk? (1 liter = 0.26418 gallon)
6.5 gallons = 24.6052 liters
6.5 has 2 significant figures, so it would need to be 25 liters
If the measure of Angle AXC=8x-7 and Angle AXB = 3x+10 find the measure of ANGLE AXC
To find the measure of ANGLE AXC, we assume Angle AXB is supplementary to Angle AXC. Solving the supplementary angle equation with the given expressions, we find x = 16. Substituting x back into the expression for Angle AXC, we determine its measure to be 121 degrees.
The question asks to find the measure of ANGLE AXC given that the measure of Angle AXC is represented by the expression 8x-7 and Angle AXB is represented by the expression 3x+10. Without additional context, it is not clear whether Angle AXB is related to Angle AXC in a way that would allow us to solve for x. However, if we assume Angle AXC and Angle AXB are supplementary angles (which sum to 180 degrees), we could set up the equation 8x - 7 + 3x + 10 = 180. If we solve this equation, we get:
Combine like terms: 8x + 3x - 7 + 10 = 180Simplify: 11x + 3 = 180Subtract 3 from both sides: 11x = 177Divide by 11: x = 16Once we have found that x = 16, we can substitute it back into the expression for Angle AXC:
AXC = 8x - 7 = 8(16) - 7Calculate the value: AXC = 128 - 7Simplify: AXC = 121 degreesTherefore, the measure of ANGLE AXC is 121 degrees.
Find the slope and give the slant of the line passing through the given pairs of points (4,-1)(-2,3)
Cassidy wrote the linear equation y=5x+4 Then, she wrote the equation of the line that is parallel to y=5x+4 and that passes through (8,–2). If her new equation is in the form y=5x+b what is the value of b? please helpppp
Which graph represents f(x)= -1/2x^3
Answer:
Last graph represents the given function.Step-by-step explanation:
First, we need to consider a few rules about transformation of functions, specifically about the negative sign and the division of the function by a number.
The negative sign indicates that the function has to be reflected regarding the vertical axis. The normal function is like the third option, and the reflect one is like the last graph.
On the other hand, the fraction presents a contraction of the function size, but this characteristics is not enough to select the right graph, because third and fourth options have the same size.
Therefore, according to the negative sign in the given function, the correct answer is the last graph.
We want to see which one of the given graphs is the graph of the function:
f(x) = (-1/2)*x^3
The correct graph is the last one, positive at the left, when x is negative, and negative at the right, when x is positive.
Let's analyze our function, first we know that the parent cubic function:
g(x) = x^3
Is negative for negative values of x and positive for positive values of x, then the graph is below the horizontal axis at the left, and above the horizontal axis at the right.
But our function multiplies this by a negative number, -1/2.
Then that is inverted, we should see that at the left, the graph is above the horizontal axis, and at the right the graph is below the horizontal axis.
Then the correct option is the last graph.
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Complete the relationship. 3.5 milliliters = __________ centiliters.
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. C = 71°, a = 27, c = 26
We have
SinC/ c = Sin A / a
Sin 71/ 26 = Sin A / 27
Sin A = 27 Sin 71 / 26 = about .982
So°
Sin-1(.982) = A = 79. 08°
Then angle B = 180 - 71 - 79.08 = 29.92°
And b is given by
b/sin29.92 = 26/sin 71
b = 26sin29.92/sin71 = about 13.72
But A could also be an obtuse angle = 180 - 79.08 = 100.92°
So we have
B = 180 - 71 - 100.92 = 8.08°
And we have
b / sin 8.08 = 26/sin71
b = 26sin8.08/sin 71 = 3.865
(a^2^n - a^n - 6) / (a^n + 8) That's a power of 2n the 2n is an exponent
Write the equation of a line perpendicular to the line 3x +7y =21 with a y-intercept of (0, 2). Write your answer in standard form. Please explain how I can solve this, please!
How does the value of 2 dimes compare to the value of 2 dollars
Answer:
[tex]\text{2 Dimes}< \text{2 Dollars}[/tex]
Step-by-step explanation:
A dime has a value of 10 cents. It is a 10 cent coin.
So, the value of 2 dime = [tex]2\times10 = 20 \text{ cents}[/tex]
Now, 1 dollar consist of 100 cents.
1 dollar = 100 cents
so, the value of 2 dollars = [tex]2\times100 = 200\text{ cents}[/tex]
Comprinf, 2 dimes and 2 dollars, we have,
[tex]\text{2 Dimes}< \text{2 Dollars}[/tex]
as
[tex]\text{20 Cents}< \text{200 Cents}[/tex]
Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?
An airplane has a total of 414 packets of crackers, pretzels, and peanuts available for passengers.
There are n packets of crackers.
There number of packets of pretzels is 9 more than twice the number of packets of crackers.
The number of packets of peanut is 3 times the number of packets of pretzels.
Part B
The airplane has seats for 144 passengers. The seats are arranged in 48 rows, with 3 seats in each row.
There are 132 passengers on a certain flight.
There are exactly 2 passengers in x rows.
There are exactly 3 passengers in y rows.
Write a system of linear equations that can be used to model the situation. Use your system to determine the number of rows with exactly 2 passengers and the number of rows with exactly 3 passengers. Show your work.
A system of linear equations can be used to model the given situation. The number of rows with exactly 2 passengers can be found by solving the equation 2x = 12, and the number of rows with exactly 3 passengers can be found by solving the equation 3y = 12.
Explanation:To write a system of linear equations, we need to translate the given information into algebraic expressions.
Let n be the number of packets of crackers.
According to the problem:
The number of packets of pretzels is 9 more than twice the number of packets of crackers: p = 2n + 9The number of packets of peanuts is 3 times the number of packets of pretzels: pn = 3(2n + 9)To determine the number of rows with exactly 2 passengers and 3 passengers:
Let x be the number of rows with exactly 2 passengersLet y be the number of rows with exactly 3 passengersThere are 48 rows and 3 seats in each row, so the total number of seats is 48 * 3 = 144132 passengers are on the flight, so there are 144 - 132 = 12 unoccupied seatsEach row with exactly 2 passengers contributes 2 unoccupied seats, so 2x = 12Each row with exactly 3 passengers contributes 3 unoccupied seats, so 3y = 12The system of linear equations is:
p = 2n + 9
pn = 3(2n + 9)
2x = 12
3y = 12
We can solve this system of equations to find the values of x and y.
A student solution to the equation 3X +2 equals 15 the show. Describe and correct the error that the student made.
U=-2a-3/ka, write an equation to solve for a (do not actually answer)
Analyze the statements below and complete the instructions that follow. If Mike gets paid today, then Mike will go to the bank. Mike did not get paid today. If possible, draw a conclusion from the given statements. A. Mike will go to the bank. B. Mike will not go to the bank. C. Mike will get paid today. D. No conclusion is possible.
Given the statements, we cannot conclude whether Mike will or will not go to the bank; therefore, no conclusion is possible.
Explanation:The statement 'If Mike gets paid today, then Mike will go to the bank' sets up a conditional relationship where Mike going to the bank is dependent on whether he gets paid or not. The second statement 'Mike did not get paid today' is a fact that allows us to draw a conclusion about the first conditional statement.
Since the condition for Mike going to the bank (getting paid) is not met, we cannot conclude that Mike will go to the bank based on the information given. However, this also does not mean that Mike will not go to the bank for some other reason. Therefore, the only valid conclusion we can draw here is option D: 'No conclusion is possible' about Mike's action related to going to the bank.
What is the concentration of a new solution obtained by mixing 25ml of water with 125ml of a 20% salt solution in water?
We want to find the concentration (percentage of salt in volume) in a mix of 25 mL of water an 125 mL of a 20% salt solution.
We will find that the concentration is: 16.7%
Let's see how to get that.
The concentration will be given by the quotient between the amount of salt and the total volume.
The amount of salt will be given by:
s = 125mL*0.2
This is because a 20% of these 125 mL are salt.
And the total volume is just the sum between the volume of water (25 mL) and the volume of salt solution (125 mL)
v = 25 mL + 125 mL = 150 mL
Then the concentration will be:
s/v = 0.2*(125 mL)/(150 mL) = 0.167
Now we multiply this by 100% to get:
0.167*100% = 16.7%
The concentration of the mixture will be 16.7%, so when we mixed the solution with water the concentration decreased, as expected.
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What is the product of −2 1/4 and −4 1/ 2 ?
Enter your answer as a mixed number, in simplified form, in the box.
Answer: 81/8 simplified form = 10 1/8 mixed form
Step-by-step explanation:
Hi, to answer this question we have to solve the expression:
First, we have to convert the mixed fractions into improper fractions:
-2 1/4 = -(2 x 4 +1) /4 = -9/4
-4 1/2 = -( 4 x 2 + 1 ) / 2 = -9/2
Next, we have to simply multiply both numbers:
-9/4 x -9/2 = 81/8 simplified form = 10 1/8 mixed form
Feel free to ask for more if needed or if you did not understand something.
Sharon spent 3.45 on sunflower seeds the price of sunflower seeds is 0.89 per pound how many pounds of sunflower seeds did sharon buy
I thought of a number, added 4 5/7 to it, and got the number 12 times as big as my original what was my number
Answer:
3/7
Step-by-step explanation:
Which of the following points are more than 5 units from the point P(−2, −2)? Select all that apply. A A (2, 1) B B (4, −1) C C (2, −3) D D (−6, −6) E E (−5, 1)
The distance between any 2 points P(a,b) and
Q(c,d) in the coordinate plane, is given by the formula:
[tex]|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}}[/tex]
Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.
[tex]|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5 [/tex]
[tex]|PB|= \sqrt{ (-2-4)^{2} + (-2+1)^{2}}= \sqrt{36+1}= \sqrt{37} \approx 6 [/tex]
[tex]|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4 [/tex]
[tex]|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5 [/tex]
[tex]|PE|= \sqrt{ (-2+5)^{2} + (-2-1)^{2}}= \sqrt{9+9}= \sqrt{16}=4 [/tex]
Answer: B and D
Find the value of x if B is between A and C AB=4x-9 BC= 3x+5 and AC = 17
6.25=r to the second power. what is r?
The angles of a triangle measure 4 degrees 86 degrees and 90 degrees classify the triangle
Using radicals what is an equivalent expression of y 1/5
Find the quotient of the quantity negative 6 times x to the 2nd power times y to the 8th power plus 12 times x times y to the 3rd power minus 36 times x times y to the 2nd power all over 6 times x times y to the 2nd power.
Answer:
The quotient is:
[tex]xy^6+2y-6[/tex]
Step-by-step explanation:
We are asked to find the quotient of the mathematical expression which is given in terms of variable x and y is represented as:
[tex]=\dfrac{6x^2y^8+12xy^3-36xy^2}{6xy^2}[/tex]
Here the numerator is:
[tex]6x^2y^8+12xy^3-36xy^2[/tex]
and the denominator is:
[tex]6xy^2[/tex]
We can also represent our numerator term by the method of factoring it as:
[tex]6x^2y^8+12xy^3-36xy^2=6xy^2(xy^6+2y-6)[/tex]
Hence, our expression gets converted by replacing the numerator term to:
[tex]\dfrac{6x^2y^8+12xy^3-36xy^2}{6xy^2}=\dfrac{6xy^2(xy^6+2y-6)}{6xy^2}\\\\\dfrac{6x^2y^8+12xy^3-36xy^2}{6xy^2}=xy^6+2y-6[/tex]
Hence, the quotient is:
[tex]xy^6+2y-6[/tex]
Give an example of two numbers that differ by an order of magnitude
Final answer:
The term order of magnitude refers to the scale of a value expressed in the metric system. Each power of 10 in the metric system represents a different order of magnitude. For example, 10¹, 10², 10³, and so forth are all different orders of magnitude.
Explanation:
The term order of magnitude refers to the scale of a value expressed in the metric system. Each power of 10 in the metric system represents a different order of magnitude. For example, 10¹, 10², 10³, and so forth are all different orders of magnitude. All quantities that can be expressed as a product of a specific power of 10 are said to be of the same order of magnitude. For example, the number 800 can be written as 8 x 10², and the number 450 can be written as 4.5 x 10². Thus, the numbers 800 and 450 are of the same order of magnitude: 10². Order of magnitude can be thought of as a ballpark estimate for the scale of a value. The diameter of an atom is on the order of 10⁻⁹ m, while the diameter of the sun is on the order of 10⁹ m.
The question is above
If AB - 27 and BC=13 then find the length of AC
You eat at several Mexican restaurants and decide that Mexican food is hot. What type of reasoning is this?
Answer:
This is an example of inductive reasoning.
Step-by-step explanation:
You eat at several Mexican restaurants and decide that Mexican food is hot. This is an example of inductive reasoning.
Inductive reasoning is defined as the type of reasoning, where multiple premises are considered and all are believed to be true. These are combined to obtain a specific conclusion.