Answers
Answer:
The three bags for 92.50 pounds (offer B)
Step-by-step explanation:
Offer A:
[tex] \frac{35}{2 \times 25} = \frac{35}{50} = .7[/tex]
Offer B:
[tex] \frac{92.50}{3 \times 50} = \frac{92.50}{150} = .617[/tex]
Offer B has the lower unit price.
Related Questions
In △ABC, ∠C = 2∠B and ∠A = 540, find the measure of ∠B.
Answers
Answer:
B = 42°
Step-by-step explanation:
All of the internal angles of a triangle sum to 180°
x + 2x + 54 = 180
3x = 180 - 54
x = 42 ° which is angle B
Find the measure of angle RPQ help me please thank u
Answers
Answer:
[tex]\boxed {54^{o}}[/tex]
Step-by-step explanation:
By Inscribed Angle Theorem, the value of an inscribed angle enclosed by an arc is the half the value of that arc.
⇒ ∠RPQ = 108°/2
⇒ ∠RPQ = 54°
How many cubic feet of dirt are there in a hole that is 3’ deep x 3’ wide x 3’ long?.
Answers
Answer:
27
depth ×breadth×width=3×3×3
= 27
Explore sums of complex
numbers by moving points A
and B and noticing how the
sum of those points written
in the expression below
corresponds to the sum
shown geometrically.
Drag the points, A and B, to
produce a result of -3 + 4i.
Answers
The two-point A and B will be -1+2i and -2+2i respectively.
What is the complex number?A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The complex number is given as;
x+iy
Where x is the real part and iy is the imaginary part.
The two points added to obtained -3 + 4i are;
A = -1+2i
B= -2+2i
The sum of the two points is;
⇒A+B;
⇒-1+2i + -2+2 i
⇒-3 + 4 i
Hence the two-point A and B will be -1+2i and -2+2i respectively.
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You want to create an ID code for the students in your school based on three characters. The first and second characters must be a letter of the alphabet, and the third must be a digit between 1 and 9 inclusive. To find out how many different codes there are, would a list or tree diagram be practical in this case? Why or why not?
a.) Yes, we have all the information we need
b.) Yes, this is one way to find the answer
c.) No, since there are too many choices
d.) No, we don’t have all the information we need
Answers
In the case above, there will be about 6084 different codes and thus would tree diagram would not be practical in this case because option C. No, since there are too many choices.
What is the tree diagram about?Since there are 26 letters in an alphabet and only 9 digits in the third place is to be used.
Therefore, multiply the total number of alphabet cases is formed using letters in the first two characters and the digit in the third place and thus it will be:
26 × 26 × 9 = 6084
If a person is to show these 6084 cases using a tree diagram, it will be very complex and thus In the case above, there will be about 6084 different codes and thus would tree diagram would not be practical in this case because option C. No, since there are too many choices.
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If students sit 3 per bench, we are short 3 benches. If they sit 5 per bench,
2 benches are left empty, and one bench only has 4 students. How many
benches are there?
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. There are a total of 10 benches in the class.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let the total number of benches be represented by x. If students sit 3 per bench, we are short 3 benches. Therefore, the total number of students can be written as,
Total number of students = 3x + 9
If they sit 5 per bench, 2 benches are left empty, and one bench only has 4 students.
Total number of students = 5(x-1) - 10 +4
Now, the total number of students can be written as,
3x + 9 = 5(x-1) - 10 +4
3x + 9 = 5x - 11
20 = 2x
x = 10
Hence, there are a total of 10 benches in the class.
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the interest paid for borrowing qn amount of money for 3yrs at the rate of 4%is n108 find the amount of the money borrowed
Answers
The amount of the money borrowed is 864.941
So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x where r is the growth rate (interest rate)
So the equation can be written as
m=(1.04)^t
Where m represents the amount of money over time, P represents the principal amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount
[tex]I=P(1.04)^t-P[/tex] where I represent the interest paid.
plug the values into the equation
[tex]108=P(1.04)^3-P\\P=864.941[/tex]
Therefore the amount of the money borrowed is 864.941.
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Use triangles ABC and RST to answers the following questions. Is triangle ABC a right triangle? Explain your answer.
Answers
Answer:
[tex]\rightarrow \fbox {Yes} \leftarrow[/tex]
Step-by-step explanation:
ΔABC is a right triangle as it possesses a right angle (90°).
Triangle ABC is a right angled triangle since it holds Pythagoras theorem.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
For a right angled, triangle, there is a theorem called Pythagoras Theorem which relates the three sides of the triangle.
Pythagoras theorem states that,
Hypotenuse² = Base² + Altitude²
Here AC is the hypotenuse, BC is the base and AB is the altitude.
Base² + Altitude² = (BC)² + (AB)²
= 5² + 12²
= 25 + 144
= 169
= 13²
= AC²
= Hypotenuse²
Pythagoras theorem holds for the given triangle.
Hence the given triangle ABC is a right angled triangle.
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The diagram shows a swimming course set out on a lake. Angle BCA = 90°. B 80m 145m C A Not to scale C is due north of A. Calculate the bearing of B from A.
Answers
the pronunciation of this question is wrong make it right first then I will answer
Step-by-step explanation:
please send this question again because I I think you want to write it fast and by mistake you are wright wrong
How far will Kenneth walk in 3.5 hours?
y = 5.5(x)
Answers
Answer:
19.25(miles?)
Step-by-step explanation:
Assuming 3.5 is the x value or input of the function
3.5 x 5.5 = 19.25
What are all of the possible classifications for a 3 × 3 system?.
Answers
Answer:
consistent and dependent
consistent and independent
Step-by-step explanation:
If a system of equations has no solutions, it is said to be inconsistent.
If a system of equations has at least one solution, it is said to be consistent.
If there is just one solution to a system of equations, it is said to be independent.
If a system of equations has an unlimited number of solutions, it is dependent.
A 3 x 3 system of equations is a three-variable system of equations. That is correct (x, y, z)
A three-by-three-equation system might be dependent, independent, or inconsistent.
A 3 x 3 system of equations can be written as follows:
consistent and self-sufficient (This indicates that there is just one answer.)
Dependable and consistent (It has infinite solutions)
If it is inconsistent, it can neither be dependent nor independent
I need this Asap Please and Thank you
Answers
Answer:
[tex]a= 10,\:\: b=6[/tex]
Step-by-step explanation:
[tex]\frac{7^2\:.\:7^8}{7^4}=\frac{7^a}{7^4}=7^b[/tex][tex]\rightarrow\frac{7^{2+8}}{7^4}=\frac{7^a}{7^4}=7^b[/tex][tex]\rightarrow\frac{7^{10}}{7^4}=\frac{7^a}{7^4}=7^b[/tex][tex]\rightarrow {7^{10-4}}={7^{a-4}}=7^b[/tex][tex]\rightarrow {7^{6}}={7^{a-4}}=7^b[/tex][tex]\rightarrow 6=a-4=b[/tex] (Bases are equal so exponents will also be equal)[tex]\rightarrow 6=a-4,\:\: 6=b[/tex][tex]\rightarrow 6+4=a,\:\: 6=b[/tex][tex]\rightarrow a= 10,\:\: b=6[/tex]Kitchen chairs are purchased wholesale for $36 each by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale?
$46.08
$57.60
$92.16
$115.20
Answers
which statement is correct?
Answers
Answer:
the first one
Step-by-step explanation:
0.0206×0.188<0.0769/0.000023
divided it by 7 and added 25. the result was 34 what was my number?
25. the result was 34 what was my number?
Answers
Answer:63
Step-by-step explanation:
63/7+25=34
Answer:
x = 63
Step-by-step explanation:
we know that...
(x will be the stand-in for "your number")
x ÷ 7 + 25 = 34
(x ÷ 7) + 25 = 34
To find x, we have to isolate x
first, we can subtract 25 from both sides (remember, if you do an action on one side, you must do the same action on the other side)
{why are we subtracting? we need to do the opposite of a sign to get rid of it. By subtracting, we are undoing addition; by multiplying we are undoing division (and vice versa) }
(x ÷ 7) + 25 = 34
- 25 - 25 (subtract 25)
x ÷ 7 = 9
× 7 ×7 (multiplying by 7 to get rid of the "÷7")
x = 63
now, we can test out our x-value:
(63 ÷ 7) +25 = 34
( 9 ) + 25 = 34
34 = 34
because this equation is true, we can be certain that x = 63
hope this helps!
Given: NM // XZ
We know that side NM is
v to side XZ. If
Prove: AXYZ ~ ANYM
we consider side NY the transversal for these parallel
lines, we create angle pairs. Using the
v. we can state that
ZYXZ is congruent to ZYNM. We know that angle
XYZ is congruent to angle
v by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
M
Answers
A transversal is a straight line that intersects two parallel lines forming four angles at each point of intersection. Thus the required answers to the given question are:
i. Side NM is parallel to side XZ.
ii. Using the corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
Two or more angles are said to be congruent if and only if they have equal measure. This property can be used to relate equal angles.
While a transversal is a straight line that intersects two parallel lines forming four angles at each point of the intersection.
The required answers to the question are as stated below:
i. Side NM is parallel to side XZ.
ii. The corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
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Answer: For the first box it is parallel, for the second box it is the corresponding angles theorem, the third is NYM, and the last one is AA.
Step-by-step explanation: 1.) Since line NM has an arrow on it's line and XZ has an arrow on it's line, that means that those two line are parallel to each other. 2.) Since both triangle contain the same transversal line (NY) and the corresponding angles theorem states that if a transversal intersects parallel lines, the corresponding angles are congruent. From this we can conclude that this means that the angle <YXZ has is congruent to the angle <YNM. Therefore we use the corresponding angles theorem. 3.) Answer 2 basically answers box number three but since we concluded that Angles of <YXZ and <YNM are both congruent <NYM would be your answer its just flipped. 4.) We use the AA theorem, because the AA theorem states that if an angle or angle(s) of one triangle is congruent to another angle/angle(s) of another triangle, then the triangles are similar (congruent). Therefore we would use the AA theorem.
Hope this helps :)
By the way this is the answer for EDGE in 2023
33
65
56
Is this tangent?
Answers
Answer:
Yes it is what is the question you are answering and it's 90 degree
Answer:
yes line is a tangent to the circle
Step-by-step explanation:
the angle between a tangent and the radius of a circle is 90°
If the triangle is right then the line touching the circle is a tangent.
using the converse of Pythagoras' identity
if the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right
longest side = 65 and 65² = 4225
56² + 33² = 3136 + 1089 = 4225
then the triangle is right and the line touching the circle is a tangent
Pick one answer choice. Please help! I want to make sure i’m doing it right for practice test!
Answers
The product of the two functions is:
[tex](f \times g)(x) = 10x[/tex]
So the correct option is A.
Which one is the equivalent expression?Remember that the square root has the property.
[tex]\sqrt{a}*\sqrt{b} = \sqrt{a*b}[/tex]
Here we have:
[tex]f(x) = \sqrt{2x} \\\\g(x) = \sqrt{50x}[/tex]
Then the product is:
[tex](f \times g)(x) = 10x = f(x)*g(x) = \sqrt{2x}*\sqrt{50x} = \sqrt{(2x)*(50x)} \\\\(f \times g)(x) = 10x = \sqrt{100x^2} = \sqrt{100}*\sqrt{x^2} = 10*x[/tex]
the correct option is A.
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bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select three options.
choosing 1 blue marble
choosing 1 red marble
choosing 1 red marble, not replacing it, and then choosing a blue marble
choosing 1 white marble, replacing it, and choosing another white marble
choosing 1 white marble
Answers
Answer:
choosing 1 red marble
choosing 1 white marble, replacing it, and choosing another white marble
choosing 1 white marble
Step-by-step explanation:
red marble has a 30 percent chance
1 white marble and then replacing and another white marble is 25% chance
1 white marble is 50% chance
does someone mind helping me with this problem? Thank you!
Answers
9x^2 - 4x - 3
9(-2)^2 - 4(-2) - 3 = 41
There are 39 adults and 26 children registered for a seminar. the seating is to be arranged so each row has the same number of people. all of the people in a row must be in the same age group. how many rows of seats are needed to seat the greatest possible number of participants in each row?
Answers
The number of rows of seats needed to seat the greatest possible number of participants in each row is 5
What is Highest Common Factor ?The highest common factor is the highest number that divides the numbers given.
On the basis of given data
Total number of children = 26
Total number of adults = 39
The highest common factor of both the number is 13 ,
Therefore the highest possible number of people that can sit in one row so that the number is in constant in all the rows.
So 2 rows of children of 13 each and
3 rows of adult of 13 each
Which makes the total number of rows = 5
Therefore the number of rows of seats needed to seat the greatest possible number of participants in each row is 5
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AD and CD are tangents to the circle below
Calculate the size of angle 0
Answers
Answer: [tex]59^{\circ}[/tex]
Step-by-step explanation:
In triangle ABC, we know that [tex]\angle ABC=130^{\circ}-\theta[/tex]. So, by the inscribed angle theorem, minor arc AC is equal to [tex]260^{\circ}-2\theta[/tex].
Thus, major arc AC is equal to [tex]100^{\circ}+2\theta[/tex].
Using the fact that the angle formed by the two tangents is 38 degrees,
[tex]\frac{(100^{\circ}+2\theta)-(260^{\circ}-2\theta)}{2}=38^{\circ}\\\\100^{\circ}+2\theta-260^{\circ}+2\theta=76^{\circ}\\\\4\theta-160^{\circ}=76^{\circ}\\\\4\theta=236^{\circ}\\\\\theta=\boxed{59^{\circ}}[/tex]
If 45 is added to half a number, the result is triple the number. find the number
Answers
Answer:
18
Step-by-step explanation:
x = number
45 + 1/2 x = 3x
45 = 2.5 x
x = 45/2.5 = 18
Answer:
18
Step-by-step explanation:
Hello!
"Half a number" can be represented by 0.5x and "triple the number" can be represented by 3x.
This just becomes a one variable equation: 45 + 0.5x = 3x
Solve:
45 + 0.5x = 3x45 = 2.5x18 = xThe missing number is 18.
Find the inverse please tell me where to put the dots thanks
Answers
Answer:
Draw a line segment from (-7, -2) to (3, 8)
See the diagram below.
You do not have to draw the blue dashed line. It's there to show how the points reflect over.
=========================================================
Explanation:
The inverse will have us swap x and y. The point (x,y) becomes (y,x)
The endpoint (-2, -7) becomes (-7, -2)
Also (8,3) moves to (3, 8)
Visually, these points are being reflected over the line y = x to form the inverse. We only need to worry about the endpoints because 2 points is the minimum needed to form a straight line.
Check out the diagram below. The red segment is the inverse. The blue dashed line is the line y = x. You don't have to plot this line as it's just a visual tool to see what's going on. Your teacher likely will only want the red segment.
Since the original segment is parallel to y = x, the inverse is also parallel to the mirror line. All three lines are parallel.
A survey was given to ask a group of adults if they liked chocolate or vanilla ice cream more. The table shows the survey results of three age groups.
(see attachment for table)
A person is selected at random. Determine the probability of each described event. Round your answers to two decimal places.
P(20s | Chocolate) = ________
P(Chocolate | 30s) * P(Vanilla | 30s) = ________
Answers
P(20s | Chocolate) = 33 / 127 = 0.26 (2dp)
There are 122 people in their 30s 53 liking chocolate and 69 vanilla
P(chocolate | 30s) x P(vanilla | 30s) = 53/122 x 69/122 = 0.25 (2dp)
The probability of P(20s | Chocolate) and P(chocolate | 30s) x P(vanilla | 30s) will be 0.26 and 0.25, respectively.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Adults were polled to determine whether they preferred vanilla or chocolate ice cream. The survey findings for three age groups are displayed in the table.
There are 127 people who enjoy chocolate, and 33 of them are in their 20s is given as,
P(20s | Chocolate) = 33 / 127 = 0.26
There are 122 persons in their 30s, and 53 of them prefer chocolate 69 others prefer vanilla is given as,
P(chocolate | 30s) x P(vanilla | 30s) = 53/122 x 69/122 = 0.25
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Consider the equation below. n2 3h2 right arrow. 2nh3 what is the mole ratio of hydrogen to ammonia?
Answers
The mole ratio of hydrogen to ammonia will be 3:2.
What is the chemical equation?A depiction of a chemical reaction using elements' indicators to determine how much of each source and result is present-typically in moles.
The chemical equation is given below.
N₂ + 3H₂ = 2NH₃
Then the mole ratio of hydrogen to ammonia will be 3:2.
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A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?
Answers
Answer:
4.11 yards/uniform
Step-by-step explanation:
We aren't told that there will be any differences in the uniforms among the 16 concert and 20 symphonic band students. No information on sizes, styles, or anything else.
In the absence of this information, we must assume all uniforms are the same.
(16 + 20) = 36 students/uniforms
148 yards of material
148 yards/36 uniforms = 4.11 yards per uniform.
If the scale of a map is 1 cm : 2500m . The distance between two places in real field is 15 km . What is the distance between the places in map?
Answers
Answer:
To find out actual distance on earth, we need to measure scale. The scale is 1cm to 15 km. Thus, 10 cm on map is equal to ( 10*15) = 150 km on earth. Thus, actual distance on earth is 150 km.
A swimming pool of 25m long and 20m wide is filled with water to a depth of 5m. what is the volume of water when it is 3/4 full?
Answers
Answer:
[tex]1875m^{3}[/tex]
Step-by-step explanation:
To find [tex]\frac{3}{4}[/tex] of the volume, we first must know the total volume.
The formula to find volume:
[tex]volume = length * width * depth[/tex]
We know the length is 25m, we know the width is 20m and we know the depth is 5m.
So, we can substitute them into the equation:
[tex]volume=25*20*5=2500m^{3}[/tex]
Now we know the total volume, we can find out the volume when it is [tex]\frac{3}{4}[/tex] full:
[tex]\frac{3}{4} * 2500 = 1875m^3[/tex]
Therefore, our final answer is [tex]1875m^{3}[/tex].
PLEASE HELP!!!! FIND X AND Y AND GIVE A STEP BY STEP EXPLANATION FOR BRAINLIEST!!! 50 POINTS!!!
Answers
Reason
First I find x using the bottom angles that equal 180
3x + 3x + (vertical angle ) 3x
9x=180
X=20
Now I find y using the top angles that equal 180
(Vertical angle) 3x + 3x + y = 180
Substitute value of x in equation
3(20) + 3(20) + y = 180
60+60 + y =180
Combine like terms to isolate y
y =180-60-60
y=60
You can check your work by substituting your x and y values into the angles