Select the equation that has the same solution.
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The ratio of one variable quantity to another that is always constant and to which it is proportional is known as the constant of proportionality then the constant of proportionality exists r = 1.6.

The ratio of one variable quantity to another that is always constant and to which it is proportional is known as the constant of proportionality.

Given

x            y

0.5.     0.8

1.         1.6

3.        4.8

25.       40

To estimate the constant of proportionality uses the following formula:

y = r x

Where r is the constant of proportionality;

Simplify the value of r, we get

r = y/x

Substitute the values of x = 0.5 and y = 0.8, in the above equation then

r = 0.8/0.5

r = 1.6

When x = 1 ; y = 1.6

r = 1.6/1

r = 1.6

When x = 3; y = 4.8

r = 4.8/3

r = 1.6

When x = 25 ; y = 40

r = 40/25

r = 1.6

The value of r exists constant.

Therefore, the constant of proportionality exists r = 1.6.

The complete question is:

Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table and answer the question below.

time (minutes) water (gallons)

0.5 0.8

1

3

40

What is the constant of proportionality?

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The dimensions that yield the minimum surface area of the open-top square-based, rectangular metal tank that will have a volume of 48.5 ft³ are:

The dimensions of an area, which is a two-dimensional object, refer to the length and the width.

On the other hand, the dimensions of the volume refer to the length, width, and height.

The volume of the square-based rectangular tank = 48.5ft³.

The length of each side of the surface area = 3.6468 ft (∛48.5ft)

Check:

Volume = height x length x width

= 3.6468 x 3.6468 x 3.6468

= 48.499 ft³

= 48.5 ft³

Thus, the dimensions of the surface area include the length and the width without the height.

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Step-by-step explanation:

d

since you add them up you will have a certain answer that will match up

It is to be noted that:

Bidding is an individual or business's offer to establish a price for a product or service or a demand that something be done. Bidding is a method of determining the price or worth of something. Bidding may be done by a person who is influenced by a product or service in a given setting.

The calculations are given as follows:

Given:
Proposal of Empire design:

$30000 x b

$ 60000/ I beam

Proposal of Build-EM-UP-CO.

$32000 x b

$ 40000/ I beam

Empire Design

Since b = 9ft; and number of I beams = 6, Hence

Total bid = (300,000 * 9) + (60,000 * 6)

= $3,060,000

Build-EM-UP-CO.

Recall that b = 9ft; and number of I beams = 6, Hence

Total Bid = (320,000 * 9) + (40,000 * 6)
Therefore,
Total bid = $3,120,000.

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Full Question:

For full details of the question, see the attached image

The translation of Quadrilateral ABCD with coordinates A(-3, 4), B(1, 3), C(3, 6), and D(1, 6) using the given transformation rule is; E(3, -1), F(7, -2), G(9, 1), H(7, 1)

We are given the vertices of Quadrilateral ABCD as;

A(-3, 4), B(1, 3), C(3, 6), and D(1, 6)

Now, we are told that it is first translated right by 6 units. This means that we would add 6 units to each x-value to get;

A'(-3 + 6, 4) = A'(3, 4)

B'(1 + 6, 3) = (7, 3)

C'(3 + 6, 6) = C'(9, 6)

D'(1 + 6, 6) = D'(7, 6)  

It is now translated by 5 units downwards and we subtract 5 from each y-value and this gives us;

E(3, -1), F(7, -2), G(9, 1), H(7, 1)

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Complete question is;

Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6) is translated 6 units right and 5 units down to create quadrilateral EFGH. Determine the correct orientation and location of quadrilateral EFGH.

Answer:

Dog be 28

Phosphors apparently

Step-by-step explanation:

Answer:

Axis interception points [tex]97x-9[/tex] x intercepts: [tex](\frac{9}{97} ,0),[/tex]Y intercepts:[tex](0,-9)[/tex]

Step-by-step explanation:

Slope of 97x-9 :     m=97

Domain: 97 x - 9

Range: 97 x - 9

Answer: Yes this equation means 6 is greater than -2, making this a true statement if that was what you're asking for.

Answer:

7

Step-by-step explanation:

since 3x-6 and x+8 are congruent x had to make both the equations equal eachother. 7 is the only number that does that

answer

11

Step-by-step explanation:

4x+1/3y^24(2)+1/3(3)^28+1/3(9)8+3

Answer:  72

Step by step explanation:

sum of the masses of the 25 goats take as x then x/25=74 so 74×25=x x=1850 after buying a new goat number of goats =26

hope i helped <3

Answer:

Answer: 7.5 or 7 1/2.

The speed of the boat in still water is 6miles/hour miles per hour.

The speed of the current is 3miles/hour miles per hour.

The distance travelled by the boat downstream(with the flow current of river) is 240 miles.

The distance travelled by the boat upstream(Against the flow current of river) is 240 miles.

Time taken to travel downstream = 20 hours.

Time taken to travel upstream = 60 hours.

Let us say the velocity of the boat is V and the velocity of the current flow of river is U.

The relative velocity of boat with respect to ground while going downstream is,

velocity of boat in downstream = V + U.

As we know,

Velocity = distance/time

Putting values of downstream motion,

V + U = 240/20

V + U = 10

Let us say this is our equation 1.

The relative velocity of boat with respect to ground while going upstream is,

velocity of boat in upstream = V - U

As we already know,

Velocity = distance/time

Putting the values of upstream motion,

V - U = 240/60

V - U = 3

Let us say this is our equation 2.

Now, on adding equation 1 and 2.

V+U+V-U = 10 + 3

2V = 13

V = 6.5 miles per hour.

Rounding off to the nearest integer,

V = 6 miles/hour.

Putting V = 6.5 miles/hour in equation 1,

6.5 + U = 10

U = 3.5 miles/hour.

Rounding off to the nearest integer,

U = 3 miles/hour

The velocity of river current is 3 miles/hour and velocity of boat is 6miles/hour.

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A boat traveled 240 miles downstream, then 240 miles back up stream. The trip downstream took 20 hours. The trip back up stream took 60 hours. Use this information to fill in the following blanks.

The speed of the boat in still water is ______ miles per hour.

The speed of the current is ______ miles per hour.

The rate of interest was 5%.

The rate of interest and simple interest can be related through the formula -

S.I. = PRT/100, where S.I. stands for simple interest, P stands for principal, R stands for rate of interest and T stands for time.

Amount = Principal + Interest

Interest = 106.05 - 101

Performing subtraction on Right Hand Side of the equation

Interest = $5.05

Rate of interest = (5.05×100)/(101×1)

Performing multiplication in numerator and denominator

Rate of interest = 505/101

Performing division

Rate of interest = 5

Therefore, to earn $106.05 from $101 in one year, the rate of interest should be 5%.

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Answer:

52

Step-by-step explanation:

52 is a bigger number than 33?

We know that

Based on the given information, we define the following

The cost to rent a moving van is $51 plus an additional $7 per hour.

Based on the given information,

The polynomial in standard form is  2x³+200x-36x²-3600

A polynomial is a mathematical formula that involves only the operations subtraction, addition,  multiplication, and powers of positive integers of the variables and is composed of coefficients and indeterminates.

We know the roots of the polynomial as 18, 10i, and −10i.

therefore the polynomial is of the form.

a(x-18)(x-10i)(x+10i)

= a (x-18)(x²-100i²)

= a (x-18)(x²+100)

= a (x³+100x-18x²-1800)

Now at x =1 The value of the polynomial is -3434

Therefore

-3434 = a(1+100-18-1800)

or, a = 2

Therefore the polynomial is of the form: (2x³+200x-36x²-3600)

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The hexadecimal value from the operation is 6385A7

To solve this problem, we have to subtract the hexadecimal numbers from one another.

In doing so, we would subtract 3F2E1D from A2B3C4.

This would give us,

[tex]A2B3C4 - 3F2E1D = 6385A7[/tex]

The value of the expression is 6385A7.

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1. (3/4)x = 9. Multiply both sides by the reciprocal of 3/4: (4/3)(3/4)x = (4/3)(9)

x = 12.

2 . -4=4/7*x

        4x/7=-4

             x=-7

3. -1/5*x=6

     -x/5=6

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

x=-30

With an example, what is a reciprocal equation?

An inverse of a number or value is referred to as reciprocal. If x is any real number, then 1/x will be the reciprocal of that number. For instance, 1/8 is the reciprocal of 8, which is 1 divided by 8. 1/8's reciprocal is equal to 8.

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The room's temperature when Quinn returned home is the y-intercept of the equation, which is: 40 degrees Celsius.

The equation of a linear relationship between two variables, x and y, can be expressed in slope-intercept form as y = mx + b, where we have the initial value or the y-intercept as "b", and the rate of change or unit rate as "m".

Alternatively, it can be rewritten as y = b + mx.

R = 42 - 0.7t represents the equation for the Quinn's room's temperature, R, in degrees Celsius, and t in minutes after Quinn turned on the air conditioner.

Interpreting the equation, we can deduce the following:

The initial value or the y-intercept (b) was the room's temperature when Quinn returned home.

The unit rate or rate of change (m) = -0.7 degrees per minute.

Thus, Quinn's room's temperature when she returned was 40 degrees Celsius.

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Select red from A and B then the probability of getting cards of same color is  12/24 * 24/48 = 1

Box A: 12 Red

          12 Black

Box B: 24 Red

          24 Black

One card is selected from Box A and placing the selected card into Box B.

One card is selected from Box B.

What is the probability that a red card is selected from Box B?

Two things can occur:

1) Select red from A and B:

12/24 * 24/48 = 1

2) Select black from A and red from B:

12/24 * 24/48 = 1

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Answer:

y = -4/7x - 46/7

Step-by-step explanation:

4x+7y=11

7y=11-4x

y=-4/7x + 11/7

Slope or parallel line: -4/7

Point=(-1,-6)

y+6 = -4/7(x+1)

y = -4/7x - 46/7

:]

Answer:

$100.00

Step-by-step explanation:

5 and above ex: 150 =200 140=100 under 5 keep the first letter then turn the other numbers into 0's 5 and above make the first number go up one then turn the rest of the numbers in to 0's

123

[tex]123 > x = 10 > 6[/tex]

Answer:

Step-by-step explanation:
(the small double lines like = means that the length of those sides are all same)
So, if one length is considered as x
     the other two will also be x
      we see that the length of one side is given which is 27
      to find x
      x + x + x = 27
        3x = 27
    so, x = 27/3
          x = 9m

(the small vertical single line means that those sides are equal)
so if one side is y, the other two are also y
so , y + y+ y = 30
       3y = 30
       y = 10m

If we imagine the stairs to be made of small rectangles of length 10m and base 9m , finding area will be easier.
we will see that there are 9 rectangles in total
area of rectangle = length x base
so, area of 1 rectangle = 9x10
                                       = 90[tex]m^{2}[/tex]
so area of 9 identical rectangles = 9 x 90
                                                      = 810 [tex]m^{2}[/tex]

We can see that the holes of the piece are already oriented in a way the piece will fit in the missing hole of the puzzle, so it doesn't need a rotation or reflection.

Then, in order to fit the piece in the hole, we need to move the piece 3 positions to the left and 1 position down.

Therefore the transformation needed is: a translation of 3 units to the left and 1 unit down.

the answer is 2f

Re-order terms so constants are on the left

f×2=2f

The area of the circles are as follows:

The area of a circle can be found as follows;

area of a circle = πr²

where

Therefore,

a.

area of the circle = πr²

diameter = 18km

r = 18 / 2

r = 9 km

Hence,

area of the circle = πr²

area of the circle = 3.14 × 9²

area of the circle = 254.34 km²

b.

area of the circle = 3.14 × 25²

area of the circle = 3.14 × 625

area of the circle = 1962.5 mm²

c.

area of the circle = 3.14 × 11²

area of the circle = 3.14 × 121

area of the circle = 379.94 m²

d.

area of the circle = 3.14 × 17²

area of the circle = 3.14 × 289

area of the circle = 907.46 cm²

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Step-by-step explanation:

1st

[tex]area = \frac{1}{2} base \times hight[/tex]

2nd

[tex]32 = \frac{1}{2} base \times 4[/tex]

3rd

[tex]32 \div 4 = \frac{1}{2} base[/tex]

4th

[tex]8 \times 2 = base[/tex]

answer

[tex]base = 16ft[/tex]