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The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:

Step 1: 8 + 16x
Step 2: 4(4) + 4(12x)
Step 3: 4(4 + 12x)
Step 4: Dimensions of the rectangle are 4 and 4 + 12x


In which step did the student first make an error and what is the correct step?

1)

Step 3; 4 + (4 + 12x)


2)

Step 3; 4 + (4 ⋅ 12x)


3)

Step 2; 4(2) + 4(4x)


4)

Step 2; 4(2) + 4x(2)

Answers

Answer 1

Answer:

3

Step-by-step explanation:

If you divide 8 +  16x, you get 4(2) + 4(4x), not 4(4) + 4(12)

He subtracted instead of dividing.

4 is wrong because it says 4x(2). You are dividing by 4, not 4x

Answer 2

Answer:

The answer is 3

Step-by-step explanation:

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Related Questions

DIU IVLAS MAIM.
> Chapter 7: Adjacent and Vertical Angles > Section Exercises 7.1 > Exercise 11
Tell whether the angles are adjacent or vertical. Then find the value of 2.
75
(4x
- 2

Answers

Answer:

vertical; x=25

4x-25=75

4x=75+25=4x=100

4x/4=100/4 x=25

She’s right go with her answer

XYZ and WYZ are non overlapping angles that share a ray and form XYZ. WYZ has a measure of 32"". XYW has a measure of 112*. What is the measure of XYZ?

Answers

Answer: XYZ = 144 degree

Step-by-step explanation:

The non overlapping angles are said to be adjacent angles of a common vertex and a common side but do not overlap.

If WYZ has a measure of 32 degree.

And XYW has a measure of 112 degree

Then, the measure of XYZ will be

XYZ = WYZ + XYW

XYZ = 32 + 112

XYZ = 144 degree

Can someone help me with this?

Answers

If I’m right the answer is approximately 718.37
Answer:718.38cm

Explanation: You fill find the volume of the sphere by inserting the radius in volume formula with is 4/3 pie r^2 where r is the radius and youll end up with 1436.76. Then you’ll divide it in half which would look like 1436.76/2 and the answer would be 718.38cm

round 8.99 to 1 decimal place

Answers

Answer:

9.0

Step-by-step explanation:

an easy way to remember this is "5 or above give it a shove, 4 or below, let it go"

9 is the correct answer

X and y vary inversely. If x is 3 when y is 12, find the equation to model this situation

Answers

Answer:

[tex]x = \dfrac{36}{y}[/tex]  

Step-by-step explanation:

We are given the following in the question:

x and y vary inversely.

[tex]x\propto \dfrac{1}{y}[/tex]

Removing the sign of proportionality and adding the constant of proportionality, we get,

[tex]x = k\times \dfrac{1}{y} = \dfrac{k}{y}[/tex]

where k is the constant of proportionality.

When x = 3, y = 12

Putting these value in the equation, we get,

[tex]3 = \dfrac{k}{12}\\\\\Rightarrow k = 12\times 3 = 36[/tex]

Putting value of k, we get,

[tex]x = \dfrac{36}{y}[/tex]

which is the required equation to model the given situation.

2(5 - x)>8 solve for x​

Answers

Answer:

x < 1

Step-by-step explanation:

To solve for x, we need to get x by itself

2(5 - x)>8

Distribute the 2

2*5 -2*x >8

10- 2x >8

Subtract 10 from both sides

10-10 -2x >8 -10

-2x > -2

Divide both sides by -2

-2x/-2> -2/-2

Since we divided by a negative number, we must flip the inequality sign

x < 1

Answer:

x < 1

Step-by-step explanation:

Given

2(5 - x) > 8 ( divide both sides by 2 )

5 - x > 4 ( subtract 5 from both sides )

- x > - 1

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x < 1

The advertised price of a cell phone was $99.99 after a $50 mail-in rebate. What is the price of the cell phone before the rebate is applied?

Answers

Answer:

149.99

Step-by-step explanation:add 50

Answer:

$149.99

Step-by-step explanation:

The price of the phone is $99.99 after the rebate, so we have to add the rebate back on to find the original price.

99.99+50

149.99

answered
3x2 – 41x = -110
use quadratic formula

Answers

Answer: x=10 and x= 3.66667

Step-by-step explanation:

you would need to at 110 to both side to get c before you can solve the quadratic formula, once you have done that you should get 3x2-41x+110=0 than you can now put it in to the formula(-b[tex]\frac{-b(+-)\sqrt{b^{2-4ac} } }{2a}[/tex]) which will now be [tex]\frac{-(-41)(+-)\sqrt{41^{2-4(3)(110)} } }{2(3)}[/tex]  than solve [tex]\frac{41(+-)\sqrt{1681-1320} }{6}[/tex] now combined to get [tex]\frac{41(+-)\sqrt{361} }{6}[/tex] the discriminant [tex]b^{2}[/tex]-4sc > 0 so there are two real roots which are, [tex]x= \frac{41(+-) 19}{6}[/tex]  simplify the radicals, x [tex]\frac{60}{6}[/tex]=  and x = [tex]\frac{22 }{6}[/tex] that will turn into x = 10 and x= 3.66667

A water tank is in the shape of a right circular cylinder with a height of 20 feet and volume 320(3.14) cubic feet. What is the diameter, in feet, of the water tank?
A. 4
B. 8
C. 12
D. 16

Answers

Answer: 4

Step-by-step explanation:

Simply plug in each answer choice

320(pi)= 1005.309

pi x 4^2 x 20= 1005.309

Someone gave me a riddle to solve if anyone wants to help me out for 25 points i’d appreciate it:)

Answers

It appears the first two digits in the code is the two digits out front multiplied together. The next digit or two are the sum of the two numbers. The last number or two is the difference.

7x3 = 21

7+3 = 10

7-3 = 4

(7)(3) = 21104

It's the same process for the (9)(4) = 36135

So for (8)(5) would be:

8x5=40

8+5=13

8-5=3

(8)(5)= 40133

Answer:

40133

Step-by-step explanation:

Basically,

The first 2 digits you multiply 8 and 5. Which is 40. Then you add 8 and 5 which is 13. Then subtract 8 and 5 which is 3.

So putting them together you get 40133

Marty was paying off a television that he bought on layaway, which means he has to pay it off over a period of time. Marty made 3 upfront payments over three weeks. One week he paid $20, next week $30, and the next week $40( remember he paid some money already). The total cost of the tv was $690. He will now make monthly payments to pay off the rest that he owes. If he has another 12 months to pay it off, how much will he have to pay per month?

Answers

Answer:

he needs to be paying  $60 per month

Step-by-step explanation:

please kindly check the attached files for explanation

Is there like a answer for the Edgen semester 1 final test.

Answers

Answer:

yes

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

help please with point slope equation. picture of the Answers and question above​

Answers

Answer:

B

Step-by-step explanation:

The slope would be the same becasue the lines are parellel.

y − y1 = m(x − x1)

that is the formula for point slope form

Determine the slope

2y-4x=1

Answers

Answer:

2

Step-by-step explanation:

The equation is mx+b=y

The equation is not simplified yet.

2y-4x=1

Add 4x to both sides

2y=1+4x

Divide by 2

1/2+2x

For this just identify. M=slope. The number next to the x is 2. So the answer is 2

Answer:

Slope is 2: y = 2x + 1/2

Step-by-step explanation:

2y - 4x = 1

    + 4x   + 4x (Add 4x to both sides to leave y by itself on one side)

------

2y/2 = 4x/2 + 1/2 (Divide both sides by 2 in order to leave y with no coefficient)

y = 2x + 1/2

Pleaseeee help
Lung cancer kills about 3,000 people per day. If 90% of the deaths from lung cancer are attributed to smoking, what is the rate of people who die from smoking each day?

Answers

Answer:

2700 people die every day from llung cancer that was caused by smoking.

Step-by-step explanation:

Answer:

2700 people

Step-by-step explanation:

10% of 3000 is 300. 300x9=2700

If you work salary $12.75/hr how many money will you get.

Answers

Answer:

12.75

Step-by-step explanation:

Answer:

You will get $12.75 per hour. Just multiply 12.75 by each hour, if there is more than 1 hour.

If the height and base of the parallelogram shown are each decreased by 2 cm, what is the area of the new parallelogram?


A parallelogram with a base of 10 centimeters and a height of 8 centimeters.

40 cm2
48 cm2
64 cm2
76 cm2

Answers

Answer:

48cm²

Step-by-step explanation:

just pretend that the parallelogram is an 8x6

Answer:

48 cm^2

Step-by-step explanation:

Use the formula A = bh. The height is 8 cm minus 2, now the height is 6 cm. The base is 10 cm minus 2, now the base is 8 cm. Multiply 8 by 6, you'll get the answer 48 cm^2.

In Geometry what is the meaning of the following symbol?


A.is perpendicular to
B.Is parallel to
C.Is similar to
D.is congruent to

Answers

Answer:

D. Is congruent to

Step-by-step explanation:

This symbol is used when two figures have exactly same lengths and angles, which means they are congruent

-12| - |8| =

answer choices

A) -4

B) 4

C) -20

D) 20

Answers

Answer: -4

Step-by-step explanation: Hopefully I put the right answer, the question is worded a bit weird, if it's not please let me know.

-12 - 8 = -4

It's still negative because the positive number is not equal nor greater than the negative number so it's still negative.

A target with a diameter of 42 cm has 4 scoring zones formed by concentric circles. The diameter of the center circle is 6 cm. The width of each ring is 6 cm. A dart hits the target at a

random point. Find the probability that it will hit a point in the yellow region

Answers

Final answer:

The probability of a dart hitting the yellow region of the target can be calculated by determining the area of the yellow region, in this case about 1130.97 cm^2, and dividing it by the total area of the target, which is about 1385.44 cm^2. The resulting probability is approximately 0.82, or 82%.

Explanation:

To solve this, we must first understand that the probability of the dart hitting a certain zone on the target will be proportional to the area of that zone. In this case, the entire area of the target is the area of the circle with a diameter of 42 cm. The radius of the target, therefore, is 21 cm.

The formula for the area of a circle is πr^2, so the area of the target is π * (21)^2, or about 1385.44 cm^2.

While the yellow zone is the ring with 18 cm diameter. Using the formula for the area of a circle again, the inner boundary of the yellow zone will have an area of π * (9)^2, or about 254.47 cm^2. The area of the yellow zone is the difference between these two values, which is around 1130.97 cm^2.

To find the probability of a dart hitting the yellow zone, we divide the area of the yellow zone by the total area of the target. This gives us a probability of around 0.82, or 82%.

Learn more about Probability here:

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Can you help me please

Answers

Answer:

5/9

Step-by-step explanation:

2/3 - 1/9 = 5/9

Answer:

5/9

Step-by-step explanation:

Find the sum -6/13 - (-7/15)

Answers

So the answer is 1/195.

Look at the attached picture⤴

Look at the attached picture⤴Hope it will help u....:)

Answer:

1/195

Step-by-step explanation:

find the radius of the sphere with a volume of 32/81 π cubic yards. Write your answer as a fraction in simplest form.​

Answers

Answer:

Step-by-step explanation:

The radius of the sphere with a volume of 32/81 π cubic yards is 2/3 yards. This is found by equating the given volume to the volume of a sphere formula and solving for the radius step-by-step.

To find the radius of a sphere given its volume, we can use the formula for the volume of a sphere, which is V = (4/3)πr³. In this case, we have the volume V= 32/81 π cubic yards. We need to solve for r (the radius).

First, we set the given volume equal to the volume formula:

32/81 π = (4/3)πr³

To solve for r³, we divide both sides by (4/3)π:

r³ = (32/81 π) / ((4/3)π) = (32/81) / (4/3) = 32/81 * 3/4 = 32/108 = 8/27

Now, to find r, we take the cube root of both sides:

r = ³√(8/27)

Since ³√8 = 2 and ³√27 = 3, the radius r is 2/3 yards.

Evaluate the expression. 18 + 12 ÷ 6 • 2

Answers

Answer:

22

Step-by-step explanation:

PEMDAS

12/6 = 2

2 * 2 = 4

18 + 4 = 22

plz give brainliest

Answer:

I think the answer is 22

But I'm not 100% sure :( (:

Find the slope between the following points: (8,-4),and (2,-4)

Answers

Answer:

0

Step-by-step explanation:[tex]\frac{0}{6}[/tex]

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] Remember this??

Just replace the points with it.

[tex]\frac{-4-(-4)}{8-2}[/tex] and now SOLVE!

You should get [tex]\frac{0}{6}[/tex]

Which equals 0.. So there ya go!

Stay Safe! Stay at Home!! =)

Final answer:

The slope between the points (8,-4) and (2,-4) is 0, indicating a horizontal line.

Explanation:

To find the slope between two points, you use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Let's apply this formula to the points given: (8, -4) and (2, -4).

Slope (m) = (-4 - (-4)) / (2 - 8) = (0) / (-6) = 0

Since the numerator of the slope formula is zero, the slope of the line passing through these two points is 0, which indicates a horizontal line.

Which statement is true about the expression 4 (9 + 6)?
The expression has two factors.
The expression has one variable.
The expression has two variable terms.
The expression has three coefficients.

Answers

Answer:

The expression has 2 factors

Step-by-step explanation:

What is the value of this expression?

27+4×(8−4)

Answers

Answer:

43

Step-by-step explanation:

The value means the answer.

We will use PEMDAS

PARENTHESIS:

27 + 4 × (8 − 4)

27 + 4 × (4)

We have no exponents, so we will go to multiplication.

MULTIPLICATION:

27 + 4 × (4)

27 + 16

We have no division, so we will go to addition.

ADDITION:

27 + 16

43

Find the fourth roots of 256(cos 280° + i sin 280°)

Answers

Answer: r(cosx+isinx)

r^(1/n)(cos(x/n)+isin(x/n))

256^(1/4)(cos(280/4)+isin(280/4))

4(cos70+isin70)

Step-by-step explanation:

Use the net to find the surface area of the rectangular prism. A) 168 units2 B) 192 units2 C) 220 units2 D) 224 units2

Answers

Answer:Enter any 3 variables for a rectangular prism into this online calculator to calculate the other 3 unknown variables. A cube is a special case where l = w = h for a rectangular prism.

Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know h, l and w in mm, your calculations will result with d in mm, S in mm2 and V in mm3.

Step-by-step explanation:

Answer:

on usatestprep it is D

Step-by-step explanation:

What is 2(log38+logzz)-log3(34 – 72) written as a single logarithm?

Answers

Final answer:

To simplify the given expression, we can use the properties of logarithms. By using the product, power, and quotient rules of logarithms, we can combine the terms and simplify the expression into a single logarithm.

Explanation:

To simplify the given expression 2(log(38) + log(zz)) - log3(34 - 72), we can use the properties of logarithms.

Start by using the product rule of logarithms to combine the terms inside the parentheses: log(38zz).Now, use the power rule of logarithms to bring the exponent out as a coefficient: log(38) + log(zz).Next, apply the quotient rule of logarithms to subtract the logarithm of the denominator: log(38) + log(zz) - log3(-38).Finally, simplify the expression: log(38zz/(-38)).

This is the single logarithm form of the given expression.

Learn more about Single logarithms here:

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