Sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60:36 by one-sixth. Is Sophia correct?

Answer:

1:11

Step-by-step explanation:

4(hearts):44(all) in simplest form is 1:11 because 4 and 44 are divisible by 4.

Answer:4:40

Step-by-step explanation:

Answer:

Yes the trainer was successful in an attempt for lucky to gain weight.

Step-by-step explanation:

Lucky was a weak and thin body shaped person who came to a gym trainer to gain weight. The trainer started to guide Lucky that he has to go for supplements and heavy weight lifting in order to gain weight. After 3 month's of hard work lucky has finally gained weight from 55 kg to 88 kgs.

Answer:

90 miles

Step-by-step explanation:

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Answer:

90

Step-by-step explanation:

180/2 = 90 (divided by 2 basically is saying half of 100% and in this case 180 is the 100%)

Answer:

d = 7

Step-by-step explanation:

1.5d + 9.25 = 4 + 2.25d

Combine the constants and the variables.

5.25 = 0.75d

Divide.

d = 7

Answer:

(3,-3)

Step-by-step explanation:

First, plot the ordered pair (-2,-4). Since you're reflecting the ordered pair across the x-axis, change the -4 to a positive 4. Your new ordered pair should be (-2,4). The order pair when reflected across the x-axis is changing the positive or negative of the y value but keeping the x value the same(simple definition). Afterward, move/translate that reflected ordered pair across 5 units to the right which is (3,4). The last step is to translate that order pair 7 units down which will then give you your answer of (3, -3). I hope this helps you, I tried explaining it the best I could!

The coordinates of the image of the point (-2, -4) will be (3, -3).

Function translation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape.

Given is a point (-2, -4) which is reflected along the x - axis.

Now, when a point is reflected across the x - axis, then its final coordinates will change according to the rule -

(x, y)  ↔  (x, -y)

The given coordinates are (-2, -4) which on being reflected across the x - axis will  become (-2, 4).

Now, it is given that after reflection, it is translated five units right and seven units down. We can define it by the rule -

(x, y) ↔ (x + 5, y - 7)

So the new coordinates of the image will be -

(-2, 4) ↔ (-2 + 5, 4 - 7) or (3, -3)

Therefore, the coordinates of the image of the point (-2, -4) will be (3, -3).

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Answer:

The answer is below

Step-by-step explanation:

Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of  270 pounds per tree, therefore:

Y(x) = 270    for x ≤ 30

If it is more than 30 trees the yield decreases by 3 pounds, hence:

Y(x) = 270 - 3(x - 30) = 360 - 3x   for x > 30

The total yield T is given as T(x) = x × Y

T(x) = x × 270 = 270x   for x ≤ 30

T(x) =  x(360 - 3x) = 360x - 3x²   for x > 30

The maximum yield is at T'(x) = 0

T'(x) = 360 - 6x

360 - 6x = 0

6x = 360

x = 360/6

x = 60

T(6) = 360(60) - 3(60²) = 10800 pounds

Answer:

111

Step-by-step explanation:

Answer:

took me time to try and answer your question hope it proves helpful

Answer:

[tex]f(x)=\frac{4^{x} }{2}-1[/tex]

Step-by-step explanation:

[tex]f(x)=\frac{1}{2}(4)^{x} -1[/tex]

Combine [tex]\frac{1}{2}[/tex] and [tex]4^{x}[/tex]

[tex]f(x)=\frac{4^{x} }{2}-1[/tex]

Answer:.

Step-by-step explanation:

The online shopping site would sell; 756000 items in 30 minutes

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Given that the online site would sell 420 items in a second

To determine the number of items it would sell in 30 minutes first of all convert minutes into seconds.

To convert minutes into seconds, we will just multiply minutes with 60.

WE know that one minute is equal to 60 seconds.

Therefore 30 minutes = 30 x 60 seconds

30 minutes = 1800 seconds

Thus the number of items sold in 30 minutes be x.

now,

420 x 1800 = x

x= 756000

Hence, It is found that the site will sell 756000 items in 30 minutes.

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Answer:

80

Step-by-step explanation:

Step-by-step explanation:

I hope this helps : ) I added an attachment for your answer.

Answer:

d

Step-by-step explanation:

i looked it up

Answer:

We will need two equations, one that adds up to the total number of marbles, and the other which writes one type of marbles in terms of the other.

For the first equation we know that:

[tex]r + b = 42[/tex]

For the second we are told that "The number of red marbles she has is three  more than twice the number of black marbles she has."

So we simply translate this into an equation being:

[tex]r = 2b + 3[/tex]

Answer:

slope is 4/3 and y intercept is -7

Step-by-step explanation:

3y+21=4x.........now subtract 21 from each side

3y=4x-21......now divide all terms by 3

y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7

Answer:

B (-3,8)

Step-by-step explanation:

awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21

awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.

Best apologies if incorrect

The expression that represents sixty divided by the difference of t cubed and nineteen will be 60 / (t³ - 19).

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The cube of the t is written as t³. Then the difference between the expression t³ and the numerical number 19 will be given as,

⇒ t³ - 19

Then the expression that represents sixty divided by the difference of t cubed and nineteen will be given as,

⇒ 60 / (t³ - 19)

The expression that represents sixty divided by the difference of t cubed and nineteen will be 60 / (t³ - 19).

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Dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm² : (√2/3 , √2/3 ,√2/3)

Given, rectangular box with largest volume.

Let f(x , y , z) = xyz

Ф ≡ xy + yz + xz - 2  = 0

[tex]F =[/tex] [tex]f + \lambda[/tex][tex]\phi[/tex]

[tex]F = xyz + \lambda (xy + yz + xz - 2)[/tex]

[tex]F_x = 0\\yz + \lambda(y + z) = 0......1\\\\F_y = 0\\xz + \lambda(x+z)= 0......2\\\\F_z = 0\\xy + \lambda(x + y) = 0..........3[/tex]

xy + yz + xz - 2 = 0........4

Solving the above 4 equations,

[tex]yz + \lambda(y + z) = 0\\\lambda = -yz/(y+z)\\\\xz + \lambda(x + z) = 0\\\lambda = -xz / (x+z)[/tex]

Evaluating the lambda values,

x = y

Similarly, y = z

Therefore, x² + x² + x² - 2 = 0

x = √2/3

y = √2/3

z = √2/3

Hence, Dimensions : (x , y , z) = (√2/3 , √2/3 ,√2/3)

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Answer:

68 feet

Step-by-step explanation:

A submarine cruised  below the surface of the water

During training exercise, each time descending= 45 feet

Number of dives= 4

Total distance he descended= 45×4 feet

Total distance he descended= 180 feet

Then, it rose by= 112 feet

Now , the distance he is at below the surface if water= 180- 112

The distance he is at below the surface if water= 68 feet

Now, he is at 68 feet below the surface of the Earth

Hence, the correct answer is 68 feet

Step-by-step explanation:

Answer:

The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation y = 1760m.

Step-by-step explanation:

Answer:

16-22

Step-by-step explanation:

Answer:

i agree with the other person

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

length times width

Step-by-step explanation:

80 time 17~

Answer:

-4

Step-by-step explanation:

y2-y1/x2-x1

solve for slope

Answer:

-4

Step-by-step explanation:

Answer:

j=h-4/k    this is the answer if you are solving for j

Step-by-step explanation:

0.08

Step-by-step explanation:

When you convert percent to decimal, you have to remember that 1= the whole.

Do to convert it, you divide the whole number (8%) by 100 (0.08). Vice versa, you multiply by 100

Answer:

3f+6

Step-by-step explanation:

To solve this, we combine like terms which are in this case 4f and f.  4f-9-f+15 is (4f-f)+(-9+15), which we simplify to 3f+6.