Tamara rewrote the expression 0.2(4+1.4y -2.1). Her steps are shown.
Step 1: 0.2(4+1.4-2.1)
Step 2: 4.2+1.6 - 1.9
Step 3: 4.2-1.9+1.6y
Step 4: 2.3+1.67
Which statement identifies and explains the first mistake Tamara made?
Her first mistake was in Step 2. She added 0.2 to each term instead of multiplying by 0.2.
Her first mistake was in Step 2. She should have only added 0.2 to 4 instead of adding 0.2 to all 3 terms.
© Her first mistake was in Step 3. When reordering the terms, the 1.6y should be negative and the 1.9 should be
positive.
Her first mistake was in Step 3. When reordering the terms, 1.9 should be the coefficient of y rather than 1.6.

Answers

Answer 1

Answer:

Step-by-step explanation:

its c

Answer 2

The statement that identifies and explains the mistake made by tamara was,

Her first mistake was in Step 2. She added 0.2 to each term instead of multiplying by 0.2.

The correct option is option A)

What is multiplication?

Multiplication is one of the basic arithmetic operation in which we take the product of two or more terms. The other basic operation is addition, subtraction and division.

We are given an expression 0.2(4+1.4y-2.1)

To compute simplify and find the value of y,

We multiply 0.2 inside we get the following,

(0.8+0.28y-0.42)

Instead of performing multiplication operation like this she added 0.2 in each and every term

This was the mistake made by her

Hence, The statement that identifies and explains the mistake made by tamara was,

Her first mistake was in Step 2. She added 0.2 to each term instead of multiplying by 0.2.

The correct option is option A)

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Related Questions

ASAP PLS HELP DUE TODAY. WILL GIVE BRAINLIEST IF A GOOD ANSWER EXPLENATION AND CORRECT ANSWER

Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.

Select one:

a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.


b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.


c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.


d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.

Answers

Answer:

[tex]7 + (-8)[/tex]

Step-by-step explanation:

Given

[tex]7 - 8[/tex]

(a): Write as additive inverse.

An additive inverse is of the form a + (-b)

In this case:

[tex]a = 7[/tex]

[tex]b = -8[/tex]

So, the expression can be represented as:

[tex]7 + (-8)[/tex]

(b): Number line representation

When the expression in (a) is solved.

The result is:

[tex]7 - 8 = 7 + (-8) = -1[/tex]

This means that the number line must accommodate 7 and -1.

Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.

Option (d) is a wrong representation of [tex]7 - 8[/tex]

Hence, (a) is correct

explain how to evaluate f(g(0)).

Answers

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

Which statements are true about ABCD? Select all that apply.
A ZABC=CDA
B.BD I AC
C.BE=ED
D. m2ABC + m2BCD = 180°
E. AB=CD

Answers

Your answer is....E!

Statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.

What is parallelogram?

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The two opposing sides are equal and parallel. The opposing angles line up evenly. The following or neighboring angles are extra. Every angle will be at a right angle if one of the other angles is even.

A parallelogram has equal opposite angles (or congruent) Angles that are next to one another are said to be consecutive (that means they add up to 180 degrees)

The true identities are,

AB=CD

m∠ABC + m∠BCD = 180°

Thus, statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.

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Need answers for 5 and 6 please it’s algebra math hurry please

Answers

i have some answers but not all of them lol so
5a) -2/3
5c) y = -2/3 + 2

6a) x intercept point is (4,0) and y intercept point is (0,2)
6b) -1/2
6c) im pretty sure it's y = -1/2 -2

The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?
(A) 4.200 mi/min
B) 11.7 mi/min
C 1.17 mi/min
D 0.117 mi/min

Answers

Answer:

The answer is C

Step-by-step explanation:

70 miles            1 hour                   70mh

_______ x    ________       =     _______   = 1.17min

1  hour            60 mh                       60mh

write -12 in a and b form

Answers

Answer:

whats ur question i dont understand

Step-by-step explanation:

idu

Answer:

thanks fOr the points

Step-by-step explanation:

5. Which of the following graphs represents the slope of -1/3

Answers

Answer:

A

Step-by-step explanation:

I found out bc I got the answer wrong then it gave me the right answer which is A:)

Express the area of the entire rectangle

Answers

Answer:

21x^4+56x^3+49x^2

Step-by-step explanation:

You need to multiply 7x^2 to each side (aka 7x^2*3x^2) and once you have each multiple you will add them all together. <3

The ratio in the table for distance covered in meters to time taken in hours is constant
Distance Covered im
8
16
32
d
48
Time Taken ihr.
6
12 15 18
Let d = distance covered in 15 hr.
Let t = time taken to cover 8 m.
Which table shows the correct values for t and d?

Answers

The table that shows the correct t and d values is

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

How to determine the correct values for t and d?

The table of values is given as:

Distance Covered (m)           Time Taken (hr)

8                                               6

16                                              12

32                                              15

48                                              18

The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours

When these values are extracted, we have:

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

The above represents the table that shows the correct t and d values

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If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *

Answers

Answer:

48,410$ in 2021

Step-by-step explanation:

3% of 47,000 is 1,410

add the 3% increase to 47,000 to get 48,410$

Answer:

[tex]48[/tex],[tex]410[/tex]

Step-by-step explanation:

__________________________________________________________

[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]

[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]

__________________________________________________________

[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]

[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Elena has $80 in a savings account. The interest rate is 5% per year and 1 point
is not compounded. How much Interest will she have in 2 years?

Answers

Don’t know just need points

Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP

Answers

11 Becuase 3x2 is 6 + 5 =11 thank you

Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet

Answers

D is the correct answer!

Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!

The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

Area of a rectanglearea = lw

where

l = length

w = width

Therefore,

area = 2x² + x – 6

Let's factorise

2x²- 3x + 4x - 6

x(2x - 3) + 2(2x - 3)

Therefore,

(x + 2)(2x - 3)

Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

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Rusty hiked 3 3/4 miles in the morning and 2 1/4 miles in the afternoon. How much
farther did he hike in the morning than the afternoon?

Answers

Answer:

1 [tex]\frac{1}{2}[/tex] miles

Step-by-step explanation:

Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions

Subtract them like a regualr equation

[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]

Convert  [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]

send helpppppppppppp

Answers

Answer:

right bottom

Step-by-step explanation:

Which expression is equivalent to 2(3x+4)(x−1)(x−3)?

A
6x3−16x2−14x+24

B
6x3−4x2−34x−24

C
3x3−8x2−7x+12

D
6x3+20x2−2x−24

Answers

Answer:

A

Step-by-step explanation:

=(2(3x+4)(x−1))(x+−3)

=(2(3x+4)(x−1))(x)+(2(3x+4)(x−1))(−3)

=6x3+2x2−8x−18x2−6x+24

=6x3−16x2−14x+24

After solving the given expression, the equivalent expression will be equal to 6x³ - 16x² - 14x + 24.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given expression in the question,

2(3x+4) (x−1) (x−3)

(6x + 8) (x² -3x - x + 3)

6x³ - 18x² - 6x² + 18x + 8x² - 24x - 8x + 24

Now, collect similar terms and add them,

6x³ - 16x² - 14x + 24

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A parallelogram with sides s and t has perimeter 2s+2t. Kelly is decorating the edge of her parallelogram-shaped craft table. The tabletop has sides that are 30 inches and 14.5 inches.
What is the perimeter of the tabletop?

Answers

Answer:

what grade  so i can help

Step-by-step explanation:

If a number is not divisible by ​10, can it be divisible by ​20?

Answers

Answer:

no

Step-by-step explanation:

Answer:

No cannot

Step-by-step explanation:

Your uncle purchases a $25,000 car this year. The car depreciates in value by 20% per year.

a) Write an exponential equation for the value of the car.

b) Use your equation to find the value of the car in 10 years.

c) When will the car be worth $10,000? Solve an equation with logarithms and show your work.

Answers

Answer:

b

Step-by-step explanation:

8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?

Answers

Answer:

iacbsc kakwc s s k kd sdidv d lm vdfj

Step-by-step explanation:

Write an equation of a line that passes through the point (-5,5) and is parallel to the line y=(-3/5)x-3

Answers

Answer:

[tex]\displaystyle y=-\frac{3}{5}x+2[/tex]

Step-by-step explanation:

We want to wite the equation of a line that is parallel to:

[tex]\displaystyle y=-\frac{3}{5}x-3[/tex]

And passes through the point (-5, 5).

First, remember that parallel lines have the same slope.

Therefore, since the slope of the original line is -3/5, the slope of our new line is also -3/5.

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute -3/5 for m and (-5, 5) for (x₁, y₁). This yields:

[tex]\displaystyle y-5=-\frac{3}{5}(x-(-5))[/tex]

Simplify:

[tex]\displaystyle y-5=-\frac{3}{5}(x+5)[/tex]

Distribute:

[tex]\displaystyle y-5=-\frac{3}{5}x-3[/tex]

Add 5 to both sides. Hence, our equation is:

[tex]\displaystyle y=-\frac{3}{5}x+2[/tex]

54 ÷ 6 x (12-4) + 2 =​

Answers

Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

Answer:

a=72[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

56/6*(12-4)+2=n

56/6*8+2-2=n-2

56/6*8/8=(n-2)/8

x=9[tex]\frac{1}{3}[/tex]

x=(n-2)/8

y=74[tex]\frac{2}{3}[/tex]

y=n-2=a

a=72[tex]\frac{2}{3}[/tex]

Which is greater 0.745 or 7.45

Answers

Answer:

7.45

Step-by-step explanation:

BECAUSE .745 IS ONE PLACE VALUE LOWER

CAN I HAVE BRAINLIEST PLEASE

The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?

Answers

Answer:

275n + 1000 = 2700

They will go 6 days on vacation.

Step-by-step explanation:

Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:

1000 + 275n = 2700

275n = 2700 - 1000

n = 1700/275

n = 6.18

Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.

It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their meantime was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude (use the .05 level)?

Answers

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is

 There is no sufficient evidence to conclude that older people are slower

Step-by-step explanation:

From the question we are told that  

    The average time taken is  [tex]\mu = 2.5 \ seconds[/tex]

      The  sample size is  [tex]n = 30[/tex]

     The sample mean is  [tex]\= x = 2.7 \ seconds[/tex]

      The standard deviation is  [tex]\sigma = 1.4 \ seconds[/tex]

The null hypothesis is  [tex]H_o: \mu = 2.5[/tex]

The alternative hypothesis  is  [tex]H_a : \mu > 2.5 \ seconds[/tex]

Generally the test statistics is mathematically represented as

                [tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>              [tex]z = \frac{ 2.7 -2.5 }{ \frac{1.4}{ \sqrt{30} } }[/tex]

=>              [tex]z = 0.7825[/tex]

From the z table  the area under the normal curve to the right corresponding to  0.7825   is  

                [tex]p-value = P(Z > 0.7825 ) = 0.21696[/tex]

So from the question we see that the [tex]p-value > \alpha[/tex] hence

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is

 There is no sufficient evidence to conclude that older people are slower

Which ratio of the lines' slopes equals 1/2



Answers

Answer:

[tex]\frac{a}{b}[/tex]

Step-by-step explanation:

For this problem, if we really wanted to be precise, we could go through and do the slope equation for all of the lines. However, this graph is clear enough that we can just count the points.

On line A, we can just follow the line and see that the slope is -1 because each point goes down 1 and over 1.

Line B has a slope of -2. It goes down 2 and over 1.

Line C has a slope of 2; up 2 and over 1.

If we look at our three slopes, -1, -2, and 2, we can see that the only way for the ratio to be 1/2 is for line A over line B. This is because a negative over a negative is a positive.

Hope this helps!

Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
How long was each descent by meters

Answers

Answer:

Each decent was 500 meters

Step-by-step explanation:

I found the slope

Each decent was 500 meters.

What is the Slope?

The slope is a line that defines the direction and the steepness. Slope is defined in many ways. Slope is also equal to tanQ additionally, slope = dy/dx

How to determine?

Finding the slope :

8000/1600=5

1000/200=5.

Each decent was 500 meters.

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Which equation represents the rental cost of the company with the least expensive hourly rate?

Answers

Answer:

c. y = 2x + 4

Step-by-step explanation:

Hope you got it.

35.408 in expanded form

Answers

Answer:

30+5+0.4+0.00+0.008

I hoped this helped u :)

Step-by-step explanation:

Answer:

30 + 5 +.4 + .008

Step-by-step explanation:

Didn't see a comma so I'm assuming you wanted as decimal, if I messed up tell me it's late I'm not thinking the best rn.

A particular fruit's weights are normally distributed, with a mean of 331 grams and a standard deviation of 23 grams. If you pick 15 fruits at random, then 14% of the time, their mean weight will be greater than how many grams?

Answers

Answer:

337.41366

Step-by-step explanation:

Given that:

Mean = 331 grams

Standard deviation = 23 grams

Sample size (n) = 15

P(Z < x) = 14% = 0.14

Obtain the Zscore corresponding to (1 - 0.14) = 0.86

P(z < 0.86) = 1.08

Zscore = 1.08

Zscore = (x - mean) / s/√n

1.08 = (x - 331) / 23/sqrt(15)

1.08 = (x - 331) / 5.9385744

X - 331 = 6.4136604

X = 6.4136604 + 331

X = 337.41366

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Which equation represents the line if m=-3/4 and b=2? (1 Point) O y=-2 + 2 x O x + 2 = 12 y = -x + 2 O y = - 2 x - 2 Given the point slope equation y 190 = 22(x-19) convert it to slope intercept form A copper wire is left outside on the ground for several weeks. Whichstatement describes a change resulting from the chemical properties of thewire?A. It conducts electricity when lightning strikes it.B. It melts when heated.C. It becomes tarnished.D. It bends when someone steps on it. Read the following excerpt from Obama's "Selma" speech:"a just America, a fair America, an inclusive America, a generous America" (II. 40-41).The excerpt from the speech above best represents which of the following rhetoricalstrategies?O AnalogyParallelismO MetaphorRepetition Which statement BEST describes how the government of ancient Rome influenced the United States?AIt was a republic.B. It prohibited slavery.C.It allowed women to vote.D. It was a direct democracy. John is a three-year-old child with movement disorders, abnormal posture, and poor muscle coordination. A neurologist diagnoses John with cerebral palsy. Which specialist will provide therapy to improve Johns coordination and mobility?A. speech therapistB. physical therapistC. psychologistD. epileptologistE. anesthesiologist help me i did the first part tho lol 80% din 25 este egal cu Which of these phrases defines setting?OA.the time, place, and conditions in which a story occursOB.the attitudes or moods of the charactersO C.the detailed events that make up a storyOD.the dialogue, actions, and thoughts that reveal a character Which statement is true about the end behavior of the graphed function? Find the volume of cylinder shaped cup. Use 3.14 for pi. Round your answerto the nearest tenth. Type your answer in the box below. Parentheses are used to set off _____. numbers or letters in a series of items the main idea incidental remarksappositives On the first day after the new moon, 2% of the Moon's surface is illuminated. On the second day, 6% is illuminated. Based on this information, predict the day on which the Moon's surface is 50% illuminated and 100% illuminated. illuminated. PLEASE HELPPPPPPP!!!!!!!!!!! Plz answer quickly!!!!!!! A wholly owned international subsidiary exists when a company owns 100% equity control of a foreign subsidiary.a. true b. false Question 2(Multiple Choice Worth 5 points)Which of these best describes the big conflict in this story? People vs. nature Marilyn vs. Gerry Barton vs. Stardust Robot vs. human Choose ne1. Water is optically rarer than_____a. glassb. airc. diamondd. both b and c nk + x = 10 solve for n "The very first requirement in a hospital, is that it should do the sick no harmWhich of the following would have been a step toward achieving the goal described in the quotation above?A vaccinating people against diseaseB the move of hospitals from being mostly charities to profit driven businessesC requiring nurses to wash their handsD researching the cause of tuberculosis ______5. If the United States passed a bill establishing a 20% tax on all cars imported from Germany. This would be an example of aa. fair trade agreement b. subsidyc. quotad. tariff