he first step that Sarah performed to simplify the expression StartFraction 4(6.8 minus 4.2) plus 8.2 over 2 EndFraction before entering it into the calculator is shown.

2(3.4 – 2.1) + 4.1

Which statement is true?

Sarah performed the first step correctly.
The first step should have been 2(6.8 – 4.2) + 8.2.
The first step should have been StartFraction 27.2 minus 4.2 plus 8.2 over 2 EndFraction.
The first step should have been StartFraction 4(2.6) plus 8.2 over 2 EndFraction.

Answers

Answer 1

Sarah performed the first step correctly.

Given the function that Sarah performed as:

[tex]\dfrac{4(6.8-4.2)+8.2}{2}[/tex]

To simplify the function, the first step Sarah carries out is to divide the numerator by 2:

[tex]\dfrac{4(6.8-4.2)+8.2}{2} \\= \frac{2(2)(2(3.4)-2(2.1)+2(4.1))}{2}\\=2(3.4 - 2.1) + 4.1[/tex]

This shows that Sarah performed the first step correctly.

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Related Questions

What is the measurement of pie?

Answers

Answer: 3.14159

Step-by-step explanation:

−3.6−1.9t+1.2+5.1t ////////////////////////////////////////////////////////////

Answers

Answer:

3.2t -2.4

Step-by-step explanation:

Combine like terms then solve (-1.9t +5.1t)+(-3.6+1.2)

radius=12 round up to the nearest tenth

Answers

Answer:

12.0

Step-by-step explanation:

Answer:

452.4

Step-by-step explanation:

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This question is about strategy
Skill
Precision


Alr here it is:
Problem one: Molly bought and infinite amount of bottles of dish soap. She had an infinite amount of money. When she bought the dish soap, she lost all of it.

How is this possible?

Problem one (part two): Molly then called her friend Blitzo over. Blitzo then gave Molly and infinite amount of money without losing all of his money.

How is this possible

If you have questions or want hints, ask in comments below this question

Answers

1. She bought the infinite dish soap with her money

2. you can't lose anything infinite

3. remeber our deal? brainliest pls.

ITS DUE TMRW!! PLS HELP


What is the value of x in the solution to this system of equations?


5x − 5y = 120


y= −7x + 8


Enter your answer in the box.

Answers

Answer:

x  =  24  +  y

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer:

Step-by-step explanation:

5x − 5y = 120

y= −7x + 8

Use the second equation in the first (eliminates y)

5x − 5(−7x + 8) = 120

5x (+35x -40) = 120

40x -40 = 120

40x = 160

x = 4

----

If x = 4:

y= −7x + 8

y= −7*(4) + 8

y= -28 + 8

y = -20

====

The solution is (4,-20)

Equations that represent a line parallel to y=8x+4

Answers

y=8x+b, b being any number, is parallel to y=8x+4.

For example:

y=8x+2

y=8x+(1/2)

y=8x+937382

y=8x-4

Jill takes 2 hours to paint a room, Jim takes 3 hours to paint a room. How long (in minutes) will it take both of them to paint a room

Answers

Jill will take 120 minutes to paint a room

Jim will take 180 minutes to paint a room

All together Jim and Jill will take 200 minutes to paint a room

Answer:

  72 minutes

Step-by-step explanation:

The sum of the rates of work in rooms per hour is ...

  Jill's rate + Jim's rate

  = (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour

__

Then the combined rate in hours per room is ...

  1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)

  = 72 minutes per room

Jill and Jim can paint the room in 72 minutes when they work together.

Please find the range of these numbers

Answers

Answer:7

Step-by-step explanation:range is highest number subtracted by lowest

Answer:

17

Step-by-step explanation:

The formula for range is max-min.

The max is 91 and the min is 74

91-74=17

3) A straight line passes through points (0,7) and (2, -1).
What is its equation?

Answers

Answer:

y=-x+A

Step-by-step explanation:

Answer:

y=-4x+7

Step-by-step explanation:

1) find the slope first between the two points

m= y2-y1/x2-x1

m= -1-7/2-0

m=-8/2

m=-4

2) use the linear equation y=mx+c

using the slope we find earlier and the coordinate

to substitute into the equation which is,

y=mx+c

7=-4(0)+c

c=7

3) the answer

y=-4x+7

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An ______ is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. ______ are groups of points that are all graphed close together. A ____ occurs when there are points clustered at two different spots on a scatter plot.


Answers

Answer:

Outlier, clusters, and gap in your value.

Step-by-step explanation:

An OUTLIER is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. DATA CLUSTERS are groups of points that are all graphed close together. A GAP IN VALUE occurs when there are points clustered at two different spots on a scatter plot.

From his eye, which stands 1.61 meters above the ground, Jacob measures the angle
of elevation to the top of a prominent skyscraper to be 25°. If he is standing at a
horizontal distance of 281 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.

Answers

Step-by-step explanation:

we have a right-angled triangle, that is "hovering" 1.61 m above the ground.

the Hypotenuse (the side opposite of the 90 degree angle) is the line of sight from the eye to the top of the skyscraper.

one leg is the height of the skyscraper (minus the 1.61 m).

the other leg is the ground distance from Jacob to the skyscraper (281 m).

we know already 2 angles : the 90° angle between the ground distance and the skyscraper height. and the 25° between the ground distance and the line of sight.

and as we know that the sum of all angles in a triangle is always 180°, we know that the third angle (between the line of sight and the skyscraper height) is

180 - 90 - 25 = 65°

now we can use the law of sines

a/sin(A) = b/sin(B) = c/sin(C)

(the ratio between a side and its opposing angle)

to get all missing side lengths.

the 25° angle is opposite of the skyscraper height, and the 65° angle is opposite of the ground distance (the only side length we know so far).

so,

height/sin(25) = 281/sin(65)

height = 281 × sin(25)/sin(65) = 131.0324519... m

to get the full height of the skyscraper, we need to add the 1.61 m that the described triangle was "hovering" above ground.

therefore, the height of the skyscraper is

131.0324519... + 1.61 = 132.6424519... ≈ 132.6 m

If 3x = 21, find the value of 23 - 4x​

Answers

Answer:

- 5

Step-by-step explanation:

Given

3x = 21 ( divide both sides by 3 )

x = 7

Then

23 - 4x = 23 - 4(7) = 23 - 28 = - 5

What is the factored form of n3+512 (pleas help fast)

A- (n-8)(n^2+8n+64)
B- (n+4)(n^2-4n+128)
C- (n-4)(n^2+4n+128)
D- (n+8)(n^2-8n+64)

Answers

Answer:

Since both terms are perfect cubes, factor using the sum of cubes formula,

a³+b³=(a+b)(a²-ab+b²) where

a=n and b=8

(n+8)(n²-8n+64)

Answer

(n+8)(-8n+64)

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have a good day

thank me later

Carryonlearing

Answer:

Step-by-step explanation:

The only one that has a chance of being correct is D. That's because the first term is correct and you have to assume that the second one is as well.

cubrt(512) = 8

The first term is (n + 8)

The second term is (n^2 - 8*n + 8^2) = n^2 - 8n + 64

All the other answers have the wrong first term

A: it should be n + 8 not n - 8

B and C are both wrong because the cube root of 512 is 8 not 4.

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HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

Answers

X=-3
Y=4,5
.........

Which of these actions would decrease heat transfer between two objects?

increasing the temperature of the warmer object
increasing the area of their contact
reducing the thermal energy of the cooler object
reducing the time of their contact
(Fr ran out of free answers)

Answers

Answer:

increasing the area of their contact

Find a quadratic model in standard form for the set of values.
(-2, 18), (0, 4), (4, 24)

Answers

4x^2 + 2x - 4

Hope this helps

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Answers

Answer:

Step-by-step explanation:

a  (2³)² = 2³ˣ² = 2⁶

b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1

c (5⁶)³ = 5⁶ˣ³ = 5¹⁸

d (6²)⁴ = 6²ˣ⁴ = 6⁸

e (8³)⁴ = 8³ˣ⁴ = 8¹²

f (4³)² = 4³ˣ² = 4⁶

g (9¹)² = 9¹ˣ² = 9² = 81

h (3⁷)² = 3⁷ˣ² = 3¹⁴

i (10²)³ = 10²ˣ³ = 10⁶

j (11²)⁴ = 11²ˣ⁴ = 11⁸

What are the coordinates of C if translated 5 units upward?

Answers

(6, 11)

hope this helps!

patrick said that the product of any number and 4 is always double the product of that number and 2. Is patrick correct. explain

Answers

Patrick is correct, since the two parts of the statement are equal.

From the question,

Patrick said that the product of any number and 4 is always double the product of that number and 2. We are to investigate if Patrick is correct.

First, let the number be x,

From the first part of the statement

The product of any number and 4

That is,

4 × x = 4x

And

The second part of the statement,

double the product of that number and 2

That is,

2(x × 2) = 2(2x)

Now, we will investigate if

4x = 2(2x)

Expand the right hand side of the equation

That is,

4x = 2 × 2x  

Then, we get

4x = 4x

Since the two parts of the statement are equal, then Patrick is correct.

Hence, Patrick is correct, since the two parts of the statement are equal.

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In a set of bivariate data, an additional point is added near the regression line but far away from the rest of the data. this
will the slope of the regression line and the correlation coefficient.
A slightly change, strengthen
B greatly change, weaken
C slightly change, weaken
D greatly change, strengthen
E not change, not change

Answers

Answer:

C. is the answer

Step-by-step explanation:

CARRY ON LEARNING

AND REMEMBER DO ALWAYS READ AND WRITE

How many real roots does the quadratic function h (x) = 2x2 – 3x + 6 have?

Answers

3
±
i

39
4
I hope this helps

State what information is required to know that the triangles are congruent.
-GEOMETRY

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The additional information needed to prove that the triangles are congruent is ~ A

[tex] \sf\angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]

John has decided to get in shape for the new year. He is planning to joining the local fitness club. The fitness club charges customers a $14.95 monthly fee plus a one time joining fee $110.00.

What is the total cost John will pay for a 12-month membership at the fitness club?

Answers

110+(14.95 x 12)= $289.40

Simplify the expression. Write your answer as a power.
4.5^5/4.5^3
The simplified expression is

Answers

When you have the same base buy different exponents, subtract the exponents:
5-3=2
4.5^2

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Answers

Answer:

Y-intercept: (0, -10)

X-intercepts: (5,0), (1,0)

Axis of symmetry: (3,0)

Step-by-step explanation:

You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.

There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.

By factoring it, you get

-2(x-5)(x-1)=0

If one part of it equals zero, than the whole function equals zero.

So it can be split up like this

(x-5)=0

(x-1)=0

So...

x=5 and x=1 are the the zeros or (5,0) and (1,0)

Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.

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consider a sequence with the common difference of 5 and whose fiftieth term is 259. what are the first three terms of this sequence?

A- 15,20,25
B- 13,18,23
C- 9,14,19
D- 14-19,24
E- 10,15,20

Answers

The answer is C (9,14,19)

Hi Guys,
I am Revising for Exams.
I don't get the Topic:
PERCENTAGES OF AN AMOUNT.
Please help me to find out the Answer/Equation etc
Thank You All.

Answers

GOOD LUCK IN THE TEST!!!!!!!

(0, 2), (1,7) create a equation that passes through each pair of points

Answers

Answer:

y = 5x + 2

Step-by-step explanation:

Given the equation 5x + 2

Plug in 0

y = 5(0) + 2

y = 2

(0,2)

Given the equation 5x + 2

Plug in 1

y = 5(1) + 2

y = 7

(1,7)

Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?

Answers

Answer:

SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.

2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.

4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.

5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.

Because it is a rectangle, the sides are equal, and they share the same hypotenuse.

tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?

Answers

Answer: Tyson is 188 centimetres tall.

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The table shows the prices for fruit items at a local farmers market. Katelyn purchased four pounds of apples, six navel oranges, two mangoes, and three watermelons. The farmers market charged a convenience fee of $3 per order. Katelyn paid with a $50 bill.Fruit Price ListItemPriceCrispy Apples$1.79 (per pound)Navel Oranges4 for $5.00Mango$1.50 eachWatermelon$5.99 eachHow much change should Katelyn receive from the $50 bill?F.$11.37 100 POINTS!!!what kind of laptop is compatible with my pc lol i want to do a dual pc setup and my budget is $500. PC specs:AMD Ryzen 7 1700X Eight-Core Processor 3.40 GHz16 GB DIMM 1400 MHz RAM Radeon RX580 Series Give three clues that indicate that the poet is taking a humorous tone in this poem. Macavity the Mystery Cat by T.S. EliotMacavity's a Mystery Cat: he's called the Hidden Paw -For he's the master criminal who can defy the Law.He's the bafflement of Scotland Yard, the Flying Squad's despair:For when they reach the scene of crime - Macavity's not there!Macavity, Macavity, there's no one like Macavity,He's broken every human law, he breaks the law of gravity.His powers of levitation would make a fakir stare,And when you reach the scene of crime - Macavity's not there!You may seek him in the basement, you may look up in the air -But I tell you once and once again, Macavity's not there!Macavity's a ginger cat, he's very tall and thin;You would know him if you saw him, for his eyes are sunken in.His brow is deeply lined with thought, his head is highly domed;His coat is dusty from neglect, his whiskers are uncombed.He sways his head from side to side, with movements like a snake;And when you think he's half asleep, he's always wide awake.Macavity, Macavity, there's no one like Macavity,For he's a fiend in feline shape, a monster of depravity.You may meet him in a by-street, you may see him in the square -But when a crime's discovered, then Macavity's not there!He's outwardly respectable. (They say he cheats at cards.)And his footprints are not found in any file of Scotland Yard's.And when the larder's looted, or the jewel-case is rifled,Or when the milk is missing, or another Peke's been stifled,Or the greenhouse glass is broken, and the trellis past repair -Ay, there's the wonder of the thing! Macavity's not there!And when the Foreign Office find a Treaty's gone astray,Or the Admiralty lose some plans and drawings by the way,There may be a scrap of paper in the hall or on the stair -But it's useless to investigate - Macavity's not there!And when the loss has been disclosed, the Secret Service say:`It must have been Macavity!' - but he's a mile away.You'll be sure to find him resting, or a-licking of his thumbs,Or engaged in doing complicated long-division sums.Macavity, Macavity, there's no one like Macavity,There never was a Cat of such deceitfulness and suavity.He always has an alibi, and one or two to spare:At whatever time the deed took place - MACAVITY WASN'T THERE!And they say that all the Cats whose wicked deeds are widely known(I might mention Mungojerrie, I might mention Griddlebone)Are nothing more than agents for the Cat who all the timeJust controls their operations: the Napoleon of Crime! what color is monosaccharides Negative and positive test. 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