Simplify the algebraic expression

*Correct Question:

Which relationships have the same constant of proportionality between y and x as the equation 3y=27x?

Answer:

A, B, C

Step-by-step explanation:

Given that [tex]3y=27x[/tex], we can simplify to get a proportionality statement that exists between X and y. Thus

[tex]3y=27x[/tex]

Divide both sides by 3

[tex]\frac{3y}{3}=\frac{27x}{3}[/tex]

[tex]y=9x[/tex]

Thus, we can say, y would always be 9 times the quantity of x.

From the options given, examine which options have this proportionality statement as well.

Option A, y = 9x is same as the statement.

Option B, 2y = 18x, conforms to the same statement. If we simply further, we would have y = 9x

Option C, the graph shows that when x = 1, y = 9. This also confirms to the same constant of proportionality in the given equation.

Option D and E do not have same constant of proportionality.

The right options are A, B, and C.

Answer:

7/2

Step-by-step explanation:

y/x   = rise / run  = slope of the line

Pick two convenient integer coordinate points , say 00  and   2,7

   slope =   (7-0) / ( 2-0)  = 7/2

Answer:

50%

Step-by-step explanation:

The given word :

E A C H

There are 2 vowels.

Answer:

Step-by-step explanation:

Two numbers have a sum of 23 and a difference of 5. What is the smaller of the two numbers.

x + y = 23

x - y = 5

(23 - 5) : 2 = 9

9 + 5 = 14

check

14 + 9 = 23

14 - 9 = 5

Answer:

wdymm?

Step-by-step explanation:

Answer:

n>3

Step-by-step explanation:

n/3>1

3(n/3)>1(3)

n>3

Answer:

It is a bargain because 0.99 + 0.99 = 1.98 which is more than 1.70. You would be paying less with this deal. It will save you 28 cents

Step-by-step explanation:

Step-by-step explanation:

the ratio medium to large was

63/27 = 7/3

Answer:

Ratio Needed

Step-by-step explanation:

In order to solve this problem, we need the ratio. Please give me the ratio, so that I can help you ASAP. Thanks!

Since 30² = 900 and 40² = 1600, between 30 and 40 of the numbers Grogg enters will reduce to integers. Now just find which count is correct. We don't have to look far:

31² = 961

32² = 1024

so there 31 of the outputs of √1, √2, √3, ..., √1000 are integers.

Grogg will result to integers  with  31  outputs from √1, √2, √3, ..., √1000 .

An integer serves as the whole number which can be a positive or negative numbers , such as 6, 9, but it cannot be a fraction.

since, she is starting from √1, √2, √3, up to √1000 , then we know that

31² = 961, then we can find the correct count which is 31. so if she is to input those number into square root one after the other , she will have 31 count.

Therefore, Grogg will result to integers  with  31  outputs from √1, √2, √3, ..., √1000 .

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Answer:

Congratulations you have an A on your test!!!!

Step-by-step explanation: The grade scale :)

A+ 97-100 4.0

A 93-96 4.0

A- 90-92 3.7

B+ 87-89 3.3

B 83-86 3.0

B- 80-82 2.7

C+ 77-79 2.3

C 73-76 2.0

C- 70-72 1.7

D+ 67-69 1.3

D 65-66 1.0

E/F Below 65 0.0

Answer:

A is in line with slope =2/3 and yintercept at (0,-2)

Using the slope of the linear function, it is found that Mr. Mole descends 2.3 meters per minute.

A linear function is modeled by:

y = mx + b

In which:

In this problem, Mr. Mole's altitude in meters after t minutes is given by:

A = -2.3t - 7.

The rate of change is the slope of m = -2.3, hence, Mr. Mole descends 2.3 meters per minute.

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The height of the scyscraper will be equal to H=251.66 meters

The branch of mathematics set up a relatioship between the angle and the sides of the right angle triangle is called as trigonometry.

Here we have the following data:-

The height of the observer's eye=1.63 meters

The angle which eye is making withe the building=33

The horizontal distance = 385 meters

So the height of the building is calculated as:-

[tex]Tan\theta=\dfrac{P}{B}\\\\\\tan\theta=\dfrac{H-1.64}{385}\\\\ \\\\tan33=\dfrac{H-1.64}{385}\\\\\\\\[/tex]

H=251.66 meters

hence height of the scyscraper will be equal to [tex]H=251.66\ meters[/tex]

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Answer:251.7

Step-by-step explanation:

Answer:

This is correct answer if it help you please remember me in your pary thanks

Answer:

179 R 1584

6 × 384

6 × 4 = 24(carry the 2)

6 × 8 + 2 = 50(carry the 5)
6 × 3 + 5 = 23

Put it all together into one number

23 + 0 + 4 = 2,304

3,856 + 284

6 does not add to 4 so it's 0

5 + 8 = 14(carry the 1 and add 1)

8 cannot add onto 2 so use the one you borrowed and carry. = 1

3 + 1 = 4

Put it together

4 + 1 + 4 + 0 = 4,140

414,000

Simply add the two 0's in 100 to 4,140

414,000 ÷ 2,304

Turn 4,140 into the thousands place temporarily.

4140

-2304

=1,836

Drop 0 to the result

18360

-16128

=2,232

Drop 0 again

22320

-20736

=1,584

Finally, you have a result.

179, Remainder 1584

The initial horizontal component of the vector which represents the velocity of the ball is; Choice C; 11.4 ft./sec.

It follows from the task content that the velocity vector of the ball has magnitude 15.8 ft./sec. and is at an angle of 43.8° with the horizontal.

On this note, it follows from vector resolution that the horizontal component of the ball's velocity is;

V(x) = V cos 43.8⁰

V(x) = 11.4 ft./sec.

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Subtract 9 from 86

86 - 9 = 77

Answer : Braden’s score was 77

Answer:

6

Step-by-step explanation:

3 x 2 x 1

first strip you can have 3 options

second only 2 options left

last one, only 1 choice

RBY

RYB

BRY

BYR

YRB

YBR

Answer:

6 flags

Step-by-step explanation:

The flag must have stripes of 3 different colors.

Ways to arrange each stripe :

Stripe 1 x Stripe 2 x Stripe 3

Answer:

Step-by-step explanation:

You are given a couple of points:

  (years, heigh) = (6, 7) and (9, 16)

and asked to write a linear equation that they satisfy. In general, you need to find the slope using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (16 -7)/(9 -6) = 9/3 = 3

__

The point-slope form of the equation for a line can be used with this information.

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Using the given points, you can write either of the equations ...

  y -7 = 3(x -6) . . . . . using the first point

  y -16 = 3(x -9) . . . . . using the second point. This matches choice B.

__

Either of the point-slope equations can be rearranged to give the slope-intercept equation.

  y -16 = 3(x -9)

  y = 3x -27 +16 . . . . eliminate parentheses, add 16

  y = 3x -11 . . . . . This matches choice C.

__

Additional comment

The first choice has the right slope, but uses a point not on the line (10, 6).

The last choice has the wrong slope and the wrong y-intercept.

The cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like radius length in the case of cylinders and cones.

Given that:-

The volume of a cylinder:-

V   =   πr²h

V   =   π  x  (1.5)²  x  4  =  28.27 cubic inches

So the cost will be = 28.27  x   0.10  =   $2.8

The volume of the cone:-

V   =  (1  /  3  ) πr²h

V   =  (1  /  3  )   π  x  ( 1.5 )²  x  4 =  9.42 cubic inches

The cost will be =  9.42   x   0.10  = $0.94

The difference between the two costs will be:-

=    $ 2.8   -    $0.94

=   $1.86

Therefore the cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86

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Answer: cost for the yogurt cylinder 2.83 cost of the yogurt  cone 0.94 different cost 1.89

Step-by-step explanation:

use formula to find the volume

then multply both 0.10

round to the nearest hundredth

then subtract

Answer:

the mean is 4.5

the median is 5

Step-by-step explanation:

Answer:

it's 10

Step-by-step explanation:

2 1/4 = 9/4

22 1/2 = 45/2 × 2 = 90/4 and 90/4 ÷9/4 = 10

Answer: 10 servings.

Step-by-step explanation:Divide 22 1/2 by 2 1/4and it woulwould be 10. Of

The conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here (h,k) is the center of the circle and (r) is the radius of the circle.

The given inequality equation is,  

[tex](x - 7)^2 + (y + 5)^2 > 25\\(x - 7)^2 + (y + 5)^2 > 5^2[/tex]

This equation is similar to the equation of circle. Thus, the conic represented by the equation is a circle. The center and radius of this circle is,

[tex](h,k)=(7,-5)\\r=5[/tex]

The solution set of this circle is the all the point which lies on this circle. In the attached graph, the solution set is shown which are (7.0),(2.-5),(7.-10),(12.-5).

Thus, the conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).

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Answer:

A circle with a center (7,–5) and d unbounded and does not

Step-by-step explanation:

The conic represented by the equation is a(n)

✔ circle with a center (7,–5)

.

The solution set is

✔ unbounded and does not

include the boundary.

Answer:

553.143 mi²

Step-by-step explanation:

Surface Area (Cylinder) :

Answer:

What is the surface area of the cylinder with height 3 mi and radius 8mil? Round your answer to the nearest thousandth

Step-by-step explanation:

SOLUTION

HEIGHT -3

RADIUS - 8

AREA - 2πr ( r+h)

[tex] 2 \times \frac{22}{7} \times 8(8 + 3) \\ \\16 \times \frac{22}{7} \times 11 \\ \\ 176 \times \frac{22}{7} \\ \\ \frac{3872}{7} \\ = 553.143[/tex]

Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:

B.) √89

E.) [tex]\sqrt[3]{750}[/tex]

F.) [tex]\sqrt[3]{999}[/tex]

We suppose numbers n and m, with square roots given, respectively, by n² and m².

Then, the square roots of all numbers between n² and m² have values between n and m.

In this problem, the square roots are given by:

Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.

As for the cubic root, we apply the same logic and have that:

Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.

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Type each expression into your calculator. You should find that

[tex](5+3)^2 + 32 \div 2 = 8^2 + 16 = 64 + 16 = 80[/tex]

Showing that choice D is the answer.

Answer:

see explanation

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 4, - 7 ) → (4, - 7 )