The actual price is $46.73 lower than the expected price.
What is the Formula for Consumer Price Index?
[tex]CPI_t=\frac{C_t}{C_0} * 100[/tex]
CPI=consumer price index in the current period
Ct= expected cost in current period
C₀ =cost in the base period
It is given that
Price in base period ie 1983 C₀= $78.75
The actual cost of the microwave oven = $92.66
Consumer Price Index= 177
So, expected price of microwave oven in the current period
Ct= CPIt * C₀ /100 = 177*78.75/100 = $139.39
Difference between the actual price and expected price = 139.39-92.66=$46.73
Therefore, The actual price is $46.73 lower than the expected price.
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Can you help me solve for y ?? Please show your work !! Thank you.
Answer:
y = -3x - 4
Step-by-step explanation:
x - y - 2 = 4x + 2
x - y - 2 + y = 4x + 2 + y
x - 2 = 4x + 2 + y
x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2
-3x - 4 = y
so y = -3x - 4
Answer:
y = -3x -4
Step-by-step explanation:
Any "solve for" problem involves inverse operations. You want to "undo" what has been done to the variable of interest. Generally, we're undoing multiplication or addition.
__
It can help to simplify the equation first:
x -(y +2) = 2(2x +1)
x -y -2 = 4x +2 . . . . eliminate parentheses using the distributive property
To get y by itself, we can undo the addition of (x -2) by subtracting that from both sides.
-y = (4x +2) -(x -2)
-y = 3x +4
To "undo" the multiplication of y by -1, we can multiply by the reciprocal of that, which is -1.
(-y)(-1) = (-1)(3x +4)
y = -3x -4
__
Additional comment
Here, we simplified the equation first. That's not always necessary or desirable. The first step is to look at what you have and make a plan. Here, y is in parentheses, so part of the plan will be to eliminate those parentheses.
NEED HELP ASAP! Which of the following could be the second equation in the system of equations seen below, so that the system has infinite solutions? Select all that apply.
Answer:
B, E, F
Step-by-step explanation:
If the system has infinite solutions, then the 2 equations will be identical.
So we are looking for an equation, which, when simplified or rearranged or multiplied by a constant, will be the same as the given equation [tex]4x-6y=12[/tex]
If we multiply equation A by 2 we get: 4x + 6y = 12
This is not the same as the original equation since the operation sign is addition rather than subtraction.
If we divide equation B by 5 we get: 4x - 6y = 12
This is identical to the original equation, and therefore could be the second equation.
Equation C: y = (2/3)x + 12
Multiply by 3: 3y = 2x + 36
Multiply by 2: 6y = 4x + 72
Rearrange: 4x - 6y = -72
If we divide equation D by 1.5 we get: 4x - (8/3)y = 8
Equation E: y = (2/3)x - 2
Multiply by 3: 3y = 2x - 6
Multiply by 2: 6y = 4x - 12
Rearrange: 4x - 6y = 12
This is identical to the original equation, and therefore could be the second equation.
Equation F: 3y = 2x - 6
Multiply by 2: 6y = 4x - 12
Rearrange: 4x - 6y = 12
This is identical to the original equation, and therefore could be the second equation.
Help me again, Last question!
Answer:
C
Step-by-step explanation:
Area of a parallelogram = base times height.
The base is 14 and the height is 3, you just have to rotate the figure.
A = 14 * 3 = 42 square feet
Can you guys give me the steps for this plus the answer?
Answer:
x = -9
Step-by-step explanation:
First rearrange the terms.
-6x - 6x +3 = 111
Add like terms
-12x + 3 = 111
Subtract 3 from both sides
-12x = 108
Divide -12 on both sides
x = -9
1. Which equation passes through the gas station?
Answer:
what gas station I presume is the answer
Help plssssssssss? What’s the answerrrr
Answer:
621200 mg
1.36664 Lb
Step-by-step explanation:
Given;
Cullinan diamond weighed 3106 carats.
1 Carat - 0.2 grams
Question to Answer;
How much does the diamond weigh in milligrams/pounds?
Solve;
Since 1 carat = 0.2 grams
1g = 1000 mg
1g = 0.0022 lb
Thus,
3106 ct = 0.2 * 3106g = 6212g
621.2g = 621.2 * 1000 mg = 621200 mg
621.2g = 621.2 * 0.0022 lb = 1.36664 lb
[RevyBreeze]
Solve for x:
67x+23=344
STEP-BY-STEP EXPLAINATION GETS BRAINLIEST!!!!
Also, can you please add me as friend on brainly? I have a goal of getting to at least 100 friends!
Answer:
67x+23=344
collecting like terms
67x=344-23
67x=321
making x the subject of the formula
x=321/67
x=4.79
approximately
x=5
Make me the brainliest
1. What is the theoretical probability that a coin toss results in two heads showing?
2. What is the experimental probability that a coin toss results in two heads showing?
3. What is the theoretical probability that a coin toss results in two tails showing?
4. What is the experimental probability that a coin toss results in two tails showing?
5. What is the theoretical probability that a coin toss results in one head and one tail showing?
6. What is the experimental probability that a coin toss results in one head and one tail showing?
7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
Answer:
Step-by-step explanation:
1. What is the theoretical probability that a coin toss results in two heads showing?
25%
2. What is the experimental probability that a coin toss results in two heads showing?
50%
3. What is the theoretical probability that a coin toss results in two tails showing
0.5%
4. What is the experimental probability that a coin toss results in two tails showing?
25%
5. What is the theoretical probability that a coin toss results in one head and one tail showing?
0.5
6. What is the experimental probability that a coin toss results in one head and one tail showing?
0.5
7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
0.5
There you go. Remember you can figure these answers out by yourself if you really try. From now on ill be answering questions and trying to help other people. Please read from your lessons as they can help you a lot, Thank you.
• What methods can be used to solve a system of equations
Answer:
Three Methods: substitution, elimination, and graphing.
Step-by-step explanation:
Graphing: To find the solution of a system of equations on a graph, you find the point of intersection of the two lines.
Elimination:
Multiply each equation by a certain number to get the LCM for one of the variables.Add/subtract the two equations to get rid of that variable.Substitute that variable into one equation and solve for the remaining variable.Substitution:
Solve an equation for one of its variables. (either x or y)Substitute this equation into the other equation and simplify/solve.Resubstitute the number into the original equation (#1) to find the other variable.exprees in standard form:0.0000042.
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?
Answer:
Each student ticket costs $8.33
Each adult ticket costs $15.34
Step-by-step explanation:
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?
s = cost of each student ticket
a = cost of adult ticket
Our system of equations:
4s + 2a = 64
3s + 3a = 71
-3(4s + 2a = 64) ==> -12s - 6a = -192
2(3s + 3a = 71) ==> 6s + 6a = 142
-12s - 6a = -192
6s + 6a = 142
-6s = -50
/-6 /-6
s = $8.33 (the cost of each student ticket)
Now, let's find the cost of each adult ticket:
4s + 2a = 64
4(8.33) + 2a = 64
33.32 + 2a = 64
-33.32 -33.32
2a = 30.68
/2 /2
a = 15.34 (the cost of each adult ticket)
(x, y) ==> (8.33, 15.34)
Check your answer:
4s + 2a = 64
4(8.33) + 2(15.34) = 64
33.32 + 30.68 = 64
64 = 64
This statement is true
Hope this helps!
I gave ⅓ of my cake to Jan Jan ¼ to pat what fraction of the cake did I give away
Answer:
1/3
Step-by-step explanation:
Read
HELP!!!! *30 PONITS*
Translate this to a formula.
five more than the product of a number and 9 equals 4
Answer:
-1/ 9 i think?
sooo my original answer was this, but i thought of the "five more" wrong
its actually different
check the person below please ignore my answer!
Step-by-step explanation:
5 + 9x = 4 i think
then to solve you subtract 5 on both sides
9x = -1
x = -1/9
Answer:
5 > x+9= 4
OR
5(x + 9) = 4
Step-by-step explanation:
I did the first one for if you are doing inequalities
The second one is if it is a normal equation, in which would be that answer.
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7. A monster truck wheel has an area of 324 11 square inches. A toy company wants to create a scaled copy of the monster truck with a wheel area of 911 square inches. What scale factor should the company use?
The scale factor that the company used was 0.028
Scale factorsGiven the following parameters
Area of truck wheel = 32411 square inches
Area of the truck after scaling = 911 square inches
The formula for finding the scale factor will be;
k = final area/original area
k = 911/32411
k = 0.028
Hence the scale factor that the company used was 0.028
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If the volume of a cone is 12.56, and the height is 3. What is the radius of the cone? R=
NEED HELP ASAP
Answer:
you can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60
Step-by-step explanat
I hope to help you
A string of lights is 69 1/3 feet long. the lightbulbs are spaced 8 inches apart. the diagram shows the beginning of the string and the end of the string. what is the total number of lightbulbs on the string of lights?
A. 86
B. 46
C. 104
D. 554
Answer:
C. 104
Step-by-step explanation:
First, translate 69 1/3 feet to inches. 69 1/3 * 12 = 832.
Because the lightbulbs are 8 inches apart, we can divide 832 by 8 to get 104.
Jeremy is paying his dad back for money that he borrowed to pay a car repair. The amount that he owes his dad in shown in the graph. Write an equation to represent the situation
Answer:
wheres the graph? picture?
Step-by-step explanation:
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from home to the history museum is six and seven-tenths kilometers. A. 670 m B. 6,700 m C. 0. 067 m D. 67,000 m.
By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m
What is relation between metre and kilometre?
Relation between metre and kilometre is that 1 kilometre =1000 metre
we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation
Now here given distance is in kilometre
and distance is67 kilometre
We can convert 67 kilometre in metre as
67 kilometre = 67 [tex]\times[/tex]1000metre
67 kilometre = 67000 metre =67000 m
By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m
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Answer: ( B ) (6,700)
Step-by-step explanation:
i checked the question on my quick check
PLS PLS PLS PLS HELLLPPPPPP MEEEEEE!!!!!!
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Picture is in the file below.
In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer.
(10 points)
answer: 55
Step-by-step explanation:
angle apg is eqal to angle pgr (being alternate angles)
x + pgr is equal to 120 (exterior angle of a triangle is equal to opposite interior angle)
Solution:
Let "E" denote the top right angle. (Refer to image). Then ∠E and ∠R are a linear pair.
⇒ ∠E + ∠R = 180
⇒ ∠E + 120 = 180
⇒ ∠E = 180 - 120
⇒ ∠E = 60°
Line AB forms a straight line which is a measure of 180°.
⇒ 65 + ∠E + x = 180
⇒ 65 + 60 + x = 180
⇒ 125 + x = 180
⇒ 125 - 125 + x = 180 - 125
⇒ ∠x = 55°
I have a d in her class pleaz help
Answer:
x = 180-(30+50)
=100°
Y = 30+50
=80°
...............................................
a) When Cameron went to Canada last, he exchanged 40 U.S. dollars for 46.52 Canadian dollars. Now, Cameron
exchanged 40 US Dollars, did he receive more or less than he received last time he visited? How much more or
less? Show all work!
Answer:
Less
Step-by-step explanation:
Working with the information provided, we are to determine whether Cameron obtained via exchange more or less on his second trip to Canada. While the time frame for this would help, it's likely that it isn't offered to you, so I'm going to try and simplify.
He would receive less, as the inflation rate in America is higher than in Canada, meaning U.S dollars depreciate in value faster.
is -17/-40 equal to -0.425
No, because if you do -17/-40 you would get a positive answer of 0.425 and it would not equal -0.425.
Can someone help me with this?
[tex]hyx^{2} =bx^{2} +hx^{2}[/tex]First you get the length PX
secondly you use the sine rule a\sin A= b\sin B=c\sin C
hence hy = 30
you take 30\sin 90=18\X
cross multiply
sin 90 × 18 = 30×X
sin 90 = 1
1×18=30X
18\30=30X\30
0.6=X
then sin~1 0.6
answer 36.8699 as angle p
then get cos 36.8699
Rationalise this fraction
Answer:
28-14[tex]\sqrt{3}[/tex]
Step-by-step explanation: Step 1[tex]\frac{14(2-\sqrt{3}) }{(2+\sqrt{3})(2-\sqrt{3}) }[/tex] Step 2 [tex]\frac{14(2-\sqrt{3}) }{1}[/tex] ANSWER = 28-14[tex]\sqrt{3}[/tex]
2. What do the zeros of this function represent? Remember the zeros are where f(x) = 0.
Answer:
When f(x) = 0, there will be two 'x' values. The point where the graph crosses the positive x-axis represents the point where the cannon hits the earth.
Step-by-step explanation:
Making Inferences from Multiple Samples
Solve each problem.
1 A biologist is studying diseases in chimpanzees. He takes three random samples of the same size
from a troop of 150 chimpanzees. One sample indicates that 3% of the chimpanzees are hairless,
another sample indicates that 5% are hairless, and a third sample indicates that 4% are hairless.
How many hairless chimpanzees should the biologist expect to find in the troop?
Using proportions, it is found that the biologist should be expected to find 6 hairless chimpanzees in the troop.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the mean of each sample is as follows: 3%, 5% and 4%.
Hence, from all samples, the mean should be expected to be of:
(3% + 5% + 4%)/3 = 4%.
Out of 150 chimpanzees:
0.04 x 150 = 6.
The biologist should be expected to find 6 hairless chimpanzees in the troop.
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Find the circumference of the circle. You must show all work to get full credit. Don't forget to label your answer. Round to the nearest hundredth.
Answer:
c ≈ 26.39 yd
Step-by-step explanation:
The circumference of a circle can be found by multiplying the radius by 2 by pi or by multiplying the diameter by pi.
-> Since they give us the radius, I will use the more-known equation of 2πr
[Given]
c = 2πr
[Plug-in the value of r]
c = 2π(4.2 yd)
[Simplify]
c = 8.4yd * π
[Multiply]
c ≈ 26.39 yd
When simplified, the expression
[ x1/8] [x3/8] is 12. Which is a possible value of x?
6
24
144
256
Answer:
The answer is 144
The value of x from the given equation is 144. Therefore, option C is the correct answer.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
The given expression is [tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex].
Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get
[tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex] = [tex]x^{\frac{1}{8} +\frac{3}{8} }[/tex]
= [tex]x^{\frac{4}{8}}[/tex]
= [tex]x^{\frac{1}{2}}[/tex]
The simplified expression is equal to 12.
So, [tex]x^{\frac{1}{2}}[/tex]=12
Squaring on both side, we get
x=12²
x=144
Therefore, option C is the correct answer.
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Which Expressions??, I don't really know T^T Please help
Answer:
B
Step-by-step explanation:
0.06 is the same as 6 divided by 100. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{100}[/tex]. 0.154 is the same as 154 divided by 1000. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{1000}[/tex].
So, (0.06) * (0.154) is the same as [tex]\frac{6}{100}[/tex] * [tex]\frac{154}{1000}[/tex] or 6 * [tex]\frac{1}{100}[/tex] * 154 * [tex]\frac{1}{1000}[/tex]
Answer: B, C, D, and E.
Step-by-step explanation: When you solve the expression, you get the value 0.00924. So far, E is one of the correct answers, because it is exactly the same as the value of (0.06) x (0.154). When you solve answer A, you get 0.924, so that isn't one of the answers. When you solve answer B, you get 0.00924. When you solve answer C, you get 0.00924, which is another possible answer. When you solve answer D, you get 0.00924. So you pretty much select every answer but A.
Hope this helps! :)
For a treasure hunt game 300 balls are hidden.of 30% of the balls that are hidden 40% of them are yellow and the rest are white. Sally’s team finds 20% of the yellow and 80% of the white how many balls did Sally’s team find?
Answer:
Sally's team found 50 balls
Step-by-step explanation:
300 balls are hidden.
300x30%x40%
=36 balls are yellow
Sally's team finds 20% of 36 and 80% of the white balls (300x30%-36).
20%x36+80%x(300x30%-36)
=7 (approximately or else they would've found 7.2 yellow balls) +80%x(90-36)
=7+43 (approximately)
=50