Mai thinks Tyler’s answer is incorrect. She says, “If expressions are equivalent then they are equal for any value of the variable. Why don’t you try to substitute the same value for in all the equations and see where they are not equal?” 1. Find the step where Tyler made an error. 2. Explain what he did wrong. 3. Correct Tyler’s work.

Answers

Answer 1

Mai's statement implies that Tyler's steps do not form an equivalent expression

Tyler's error is in step 3.

How to determine Tyler's error?

Tyler's steps of solving the expression is given as:

9 - 4 ( 5x - 6 )9 + (-4) ( 5x + -6 )9 + -20x + -63 - 20x

Tyler's error is in step 3.

This is so because:

9 + (-4) ( 5x + -6 ) in step 2 is not equivalent to 9 + -20x + -6 in step 3

In actual sense, Tyler's error is in multiplying the (-4) and (-6)

The correct solution is as follows:

9 - 4 ( 5x - 6 )9 + (-4) ( 5x + -6 )9 + -20x +2433 - 20x

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Related Questions

Suppose that 16 inches of wire costs 48 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?

Answers

let’s divide 48 by 16 to see how many cents per inch of wire. 48/16=3 so it costs 3 cents per inch of wire. now all we have to do is multiply 47 by 3, and you will get 141 cents, or $1.41.

The cpi is currently 153. if a coffee maker costs $31.90 today, how much did one cost in 1983, to the nearest cent? a. $20.85 b. $21.20 c. $26.60 d. $48.81

Answers

The cpi is currently 153. if a coffee maker costs $31.90 today, how much did one cost in 1983, to the nearest cent? a. $20.85 b. $21.20 c. $26.60 d. $48.81

its C

One coffee maker's cost in 1983 was $20.85 if the current CPI is 153 option (a) is correct.

It is given that the CPI is currently 153 if a coffee maker costs $31.90 today. It is required to find how much did one cost in 1983.

What is CPI?

It is defined as the tool to measure inflation that indicates between two periods how much cost is increased. It can be represented by [tex]\rm CPI_t[/tex] for the given time 't'

The formula for finding the CPI:

[tex]\rm CPI_t = \frac{C_t}{C_0}\times 100[/tex]

Where [tex]\rm c_t[/tex] is the cost in the current market

           [tex]c_0[/tex] is the cost at the given period.

We have in the question:

[tex]\rm c_t = \$31.90\\\\\rm CPI_t = 153[/tex]

Putting these values in the CPI formula, we get:

[tex]\rm 153= \frac{31.90}{C_0}\times 100\\\\\rm c_0 = \frac{3190}{153} \\\\\rm c_0 = \$20.84 \approx \$20.85[/tex]

Thus, one coffee maker's cost in 1983 was $20.85 if the current CPI is 153.

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the surface area?
A - 216
B - 336
C - 438

Answers

Answer:

B

Step-by-step explanation:

the answer is b, 336

the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and solve a system of equations to find the dimensions of the rectangle.​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

[tex]\qquad \sf  \dashrightarrow \:2(l + w) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(3x + 8 + x) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(4x + 8) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 56 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 28[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x = 28 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 20\div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x =5 \: cm[/tex]

Hence, width = x = 5 cm

[tex]\qquad \sf  \dashrightarrow \:l = 3w + 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 3(5)+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 15+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l =23 \:cm[/tex]

And, length = 26 cm

What is the following sum? 4 (RootIndex 5 StartRoot x squared y EndRoot) 3 (RootIndex 5 StartRoot x squared y EndRoot).

Answers

The sum of the given data will be 7 ⁵√x²y. The result or answer we obtain when we count two or more digits or terms is known as a sum.

What is the sum?

The result or response we obtain when we add two or more numbers or terms is known as a sum.

The given terms will be

[tex]\rm x= 4\sqrt[5]{x^2y} \\\\ \rm y= 3\sqrt[5]{x^2y}[/tex]

The sum is found as;

S= x+y

[tex]\rm S=\rm 4\sqrt[5]{x^2y} + 3\sqrt[5]{x^2y} \\\\ \rm S=\sqrt[5]{x^2y} (4+3) \\\\ \rm S=7\sqrt[5]{x^2y}[/tex]

Hence the sum of the given data will be 7 ⁵√x²y.

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Answer:

Its C

Step-by-step explanation:

TRUST>>>

Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular
box with the dimensions shown below. He's trying to figure out how much gift wrap
he needs to cover the entire box. Should he calculate the total surface area or the
lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface
area. Calculate the one you choose, give that measurement of the box, and then
explain how you calculated it.
13 in
20 in
8 in

Answers

Demarcus should calculate the total surface area of the rectangular prism and the measurement is 1,048 in²

How to calculate the total surface area of a rectangular prism

Length = 20 inwidth = 8 inHeight = 13 in

Total surface area = 2(lw + hw + lh)

= 2(20×8 + 13×8 + 20×13)

= 2(160 + 104 + 260)

= 2(524)

= 1,048 in²

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Is the following number rational or irrational?
200
Choose 1 answer:
A
Rational
В B
Irrational

Answers

Answer:

A Rational

Step-by-step explanation:

Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.

It is given that AB CD Identify the postulate that proves the triangles are congruent

Answers

Answer:

i can't see the multiple choice

Step-by-step explanation:

angle c and b are equal

angle a and d are equal

and you have a common angle o

and ab = cd

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

It is given that AB || CD. The side AB is congruent to the side CD.

The line AD and BC intersect at the mid-point. Then the line segment AO and OD will be congruent and the line segment CO and OB will be congruent.

And the angle ∠AOB and ∠COD will be congruent because they are vertically opposite angles.

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

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Hi built the bookshelf shown below the bookshelf is 4 feet tall with a solid board on the back and each shelf measures 18 inches deep by 24 inches across if Chi wants to paint all the surfaces including the underside of each shelf and the base as well as both sides of the bookshelves back and sides how many square feet will paint

Answers

it should be 137

if not am sorry. am not the best at math

(25 pts!!! help needed asap) x2y3z Write the expression in exponential form. A) x2yz4 B) x6y7z4 C) x 1 2 y 3 4 z D) x 1 2 y 3 4 z 1 4

Answers

Answer:

D

Step-by-step explanation:

Given expression :

[tex]\sqrt[4]{x^{2}y^{3}z }[/tex]

Solving :

A number with the 4th root is the same as a number raised to the power 1/4[tex](x^{2})^{1/4}(y^{3})^{1/4}(z)^{1/4}[/tex][tex]x^{\frac{1}{2}} y^{\frac{3}{4}}z^{\frac{1}{4} }[/tex] [Option D]

Answer:

D   [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]

Apply the Radical Product Rule  [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :

[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]

Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :

[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]

Simplify:

[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

Find the area of the shaded region.

Answers

Answer:

40.5 square meters

Step-by-step explanation:

the first thing you should do is find the area of the entire square

that is 9 * 9 which is 81

then you have to find the area of the triangle 9 * 9 * 1/2 which is 40.5

81 - 40.5 is 40.5 so the shaded region is 40.5

Let x be a random variable with uniform distribution on (100,200). Find the probability that x assumes a value

Answers

if your saying (100,200) on a graph then c will be 100 because first veritable is always going to be x

The probability that x assumes a value less than three standard deviations from the mean is 1.

What is uniform distribution?

The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.

We have:

x be a random variable with uniform distribution on (100,200).

It is required to find the probability that x assumes a value less than three standard deviations from the mean.

From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.

99.7% data from the (100, 200) is up to 199.7

Total number of favourable outcomes = 99.7

The probability that x assumes a value less than three standard deviations from the mean:

= 99.7/(200-100)

= 0.997 ≈ 1

Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.

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You have a job as a teacher. Your salary for the first year is $37,185.
You will receive a 6% increase every year.
Part A Would an arithmetic or geometric sequence best model this situation?
- Arithmetic
- Both
- Neither
- Geometric

Part B: What explicit formula models this situation?
- an=37185*(.06)^n-1
- an=37185*(1.06)^n-1
- an=6*(37185)^n-1
- an=6*(1.06)^n-1

Part C: How much will your salary be at the start of your 5th year?
- $37,192.57
- $42,564.25
- $46,945.21
- $223,110.00

Answers

Answer:

a). Geometric sequence

b).

c). $46945.21 will be the salary at the start of 5th year.

Step-by-step explanation:

My salary for the first year is $37185.

If I get an increase of 6% every year then the next year salary will be,

  = $39416.1

Similarly in the second year my salary will be

   = $41781.07

So the sequence becomes $37185, $39416.1 $41781.07.....

And there is a common ratio in each successive term 'r' = 1.06

a). Therefore, it's a geometric sequence.

b). Explicit formula for this sequence will be in the form of

Where t = duration in years

c). Salary at the start of 5th year,

      = $46945.21

Step-by-step explanation:

4 9/10 X 1/4. {State your answer as a mixed number in simplest form.} State your answer as a mixed number in simplest form

Answers

Answer:

1 9/40

Step by step explanation:

\frac{49}{40}=1\frac{9}{40}

The 40 and 50 degree angles are?

Answers

Answer:

40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)

Step-by-step explanation:

I WILL GIVE BRAINLIEST! PLEASE HELP ME!

Answers

needless to say that the conversion from miles to kilometers uses a constant value, and therefore, they're directly proportional.

now, I could write the direct proportional relation blah blah but there's no need, we can simply squeeze it out of the table by simply checking how many kilometers there are in 1 mile.

well, we know that 11.0 miles give us 17.699 km, ok hmmm if we divide 17.699 ÷ 11 = 1.609.

if we do the same on table for 26 and 41.834, so 41.834 ÷ 26 = 1.609, and the next pair 54.706 ÷ 34 = 1.609, the value of 1.609 is consistent or constant, or namely that there are 1.609 kilometers in 1 mile.

What is the area of the following circle?

Answers

Answer:

Step-by-step explanation: A= π r²

π=3.14

4x4 = 16

so 3.14 x 16 =50.24

The triangles shown below must be congruent
True or false

Answers

Answer:

true is the correct answer

Step-by-step explanation:

hope it's help you

please mark me as brainlist answer

Which inequality does the graph represent?

Answers

Answer:

The answer is

x < -1

Step-by-step explanation:

I hope it helps!

what are three expressions that are equivalent to 15+45

Answers

Answer:

40+20, 50+10, 46+14

Step-by-step explanation:

15+45=60 =   50+10=60 46+14=60

2 1/8 - 1 1/4 can someon e help????

Answers

The answer would be: -0.125

Answer:7/8

Mixed number just do it

The runner completed 26.2 miles in 4 hours. How far did he run in 1 hour?

Answers

Answer:

6.55 miles

Step-by-step explanation:

26.2 miles in 4 hours means 6.55 each hour adds up to the total.

Do ---> 26.2 divided by 4 to get hourly miles = 6.55

6.55 miles your welcome <333

The Furnace Creek Airport in Death Valley, California, has an elevation of 64 meters below sea level. The lowest point in New Orleans, Louisiana, has an elevation of -2 meters. What is the difference between the elevation in New Orleans and the elevation at the Furnace Creek Airport?

Answers

Answer:66 meters

Step-by-step explanation:

just change the negative to a positive and add them together. It would be 66.

On a map with a scale of 1 : 50000 , he shortest distance from the railway line to the river is 2.1km. What distance on the map would represent this?

Answers

Answer:

105,000

Step-by-step explanation:

I'd the scale is 1 : 50,000, you would first take the 2.1km and multiply it by your 50,000. This will put your answer to scale coming in at 105,000 km on the map

Rewrite each equation without using absolute value for the given conditions.
y=|x-3|+|x+2|-|x-5| if x>5

Answers

Answer:

x>5, so

let x=6

6-3=3

+

6+2=8

-

6-5=1

3+8-1=10

answer=10

x + y = 5 2x - y = 1 substitution method

Answers

[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2,3)

Equation Form:

x = 2, y = 3

Step-by-step explanation:

Which of the following statements about check-cashing companies is FALSE?

Answers

Answer:

there are no statements...

Christopher opened a savings account with $1800 that pays no interest. He deposits an additional $90 each week thereafter. How much money would Christopher have in the account 42 weeks after opening the account?

Answers

Answer:

I think 5580

Step-by-step explanation:

You move the 1800 away for a bit so since it's 42 weeks you have to multiply 90 and 42 then add that to 1800.

The surface of a rectangular table has a perimeter of 12 feet and an area of 8 square feet.
What are the dimensions of the table?
feet by
feet
no
Submit
1-2
17.4.3
291

Answers

Answer:

17.4.3

Step-by-step explanation:

17.4.3

Ms. Sanchez's students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. 5 Number of Hours Playing Sports 5 3 0 2 5 2. 6 2 3 4 3. 0 1 0 3 6. What is the mean of the sample in the third row? 0 2.2 2.8 O 3.0 0 3.4​

Answers

Answer:

1.62857142857

Step-by-step explanation:

Im sure you can round to 1.6 or 1.62.

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