Amara needs 4545 kilograms of meat to feed her 22 pet dragons each day. Each pet dragon eats the same amount of meat.
How many kilograms of meat does Amara need to feed 44 pet dragons each day?

Answer:

32

Step-by-step explanation:

To find the number of students in the class, use the equation 3/4x = 24 and solve for x.

To find the number of students in the class, we can set up the equation 3/4x = 24, where x represents the total number of students in the class.

To solve for x, we need to isolate it. We can do this by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3.

3/4x * 4/3 = 24 * 4/3

x = 32

Therefore, there are 32 students in the class.

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Answer:

x = 3

Step-by-step explanation:

m < T = m < R  (Because they are opposite angles of a parallelogram). Therefore:-

40x + 2 = 122

40x = 120

x = 120/40

x = 3

Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal. The value of the x is 3 units.

For the parallelogram angle T is (40x+2) degrees.

The angle R is 122 degrees.

To solve this the it should be known about the angle of the parallelogram.

Parallelogram is the closed shaped quadrilateral which has opposite site equal and the opposite angle are equal.

As in the given figure the angle T and angle R is the opposite angle. Thus angle T and angle R will be equal to the each other. Thus,

[tex]\angle T= \angle R[/tex]

Put the values of the angle in the above equation. Thus,

[tex]40x+2=122[/tex]

[tex]40x=122-2[/tex]

[tex]40x=120[/tex]

[tex]x=\dfrac{120}{40}[/tex]

[tex]x=3[/tex]

Hence the value of the x  is 3.

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Answer:

B.  0.33

Step-by-step explanation:

The probability will be given by the amount of space in the target area, blue, compared to the total amount of space, the red square.

The size of the blue square is 64 and the size of the red square is 196; this gives us a probability of

64/196 = 16/49 = 0.3265 ≈ 0.33.

The required probability that a dart will land in the blue region is 0.33. Option B is correct.

Given that,
A target is made of a blue square inside of a red square. The blue square has an area of 64 square units, and the red square has an area of 196 square units.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total sample space = 196
Total favorable space = 64
The probability that a dart will land in the blue region is given as.
probability = 64 / 196 ≈ 0.33

Thus, the required probability that a dart will land in the blue region is 0.33. Option B is correct.

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Answer: C

Step-by-step explanation: The word problem says that the value depreciates monthly, which means that -22m is how much Megan's gadget depreciates because m stands for months.

Options B and D are not true because the value has a variable, which indicates that it is decreasing by number of months according to the minus sign and not at a fixed amount.

Option A is not true because the word problem says that the expression shows the monthly depreciated sales value of the gadget, not the amount of time Megan will wait to sell the gadget.

Answer:

Speed = 9.6 km/s

Distance traveled in 2 seconds = 19.2 km

Step-by-step explanation:

Given that revolving speed of the Saturn around the sun = 6 miles per second

We need to convert this speed into kilometers per second.

Given that 1 mile = 1.6 kilometers so plug that into above speed. We get:

Revolving speed of the Saturn around the sun = (6)(1.6) kilometers per second.

Revolving speed of the Saturn around the sun = 9.6 kilometers per second.

Now to find distance travelled in 2 seconds, we just need too multiply the speed by time.

Distance = (9.6)(2)= 19.2 Kilometers.

Hence final answer is:

Speed = 9.6 km/s

Distance traveled in 2 seconds = 19.2 km

Answer:

Speed:                                          9.6 km/s

Distance traveled in 2 seconds: 19.2 km

Step-by-step explanation:

Speed: S=6 miles per second=6 miles/s

S=(6 miles/s)(1.6 km/1 mile)→S=(6)(1.6) km/s→S=9.6 km/s

S=9.6 km per second, that means in 1 second the distance traveled is 9.6 km, then in 2 seconds the distance traveled is 2(9.6 km)=19.2 km or

S=d/t

Distance: d

Time: t

Replacing the known values:

9.6 km/s=d/(2 s)

Solving for d: Multiplying both sides of the equation by 2 s:

(2 s)(9.6 km/s)=(2 s)d/(2 s)

19.2 km=d

d=19.2 km

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}[/tex]

We will now solve for the plus and the minus.

The plus,,,

[tex]x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3[/tex]

and the minus...

[tex]x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...[/tex]

Look at the picture.

f(x) = g(x) - x for which the graphs intersect.

Answer by YourHope:

HI! :)

Based on the graph below, what are the solutions to the equation f(x) = g(x)?

A. x = -2.4, x = 1.4, x = 3.9!

:)

Answer:

one that fits

Step-by-step explanation:

#Bird+10 so #dog=2(#birds+10)

Answer:

We are gonna called birds [tex]x[/tex] and dogs [tex]y[/tex]. So, if pet store had 10 more birds the number of dogs would be double, this means that:

[tex]y=2(x+10)[/tex]

In the expression we have 10 more birds [tex]x+10[/tex], and the number of dogs is the double of these birds, which give us the expression.

So, the range of values would be:

If there are 10 birds, there would be 20 dogs.

If there are 11 birds, there would be 22 dogs.

If there are 12 birds, there would be 24 dogs, and so on...

13 birds, 26 dogs.

14 birds, 28 dogs.

All these results are given by the expression we found.

Answer:

The area of the rectangle is 9.

Step-by-step explanation:

The first thing to take into account is that the area of a rectangle is obtained by multiplying its length and width.

[tex]area=length\times width[/tex]

The problem says that the length is [tex]\sqrt[3]{81}[/tex] and the width is [tex]3^{\frac{2}{3}}[/tex]. So, to find the area we must replace the values of length and width into the previous expression.

[tex]area=length\times width[/tex]

[tex]area=(\sqrt[3]{81})\times (3^{\frac{2}{3}})[/tex]

The previous seems to be difficult but with a little of manipulation we can get a result without a calculator.

First step: the term [tex]\sqrt[3]{81}[/tex] could be written as exponential expression.

[tex]area=(81^{\frac{1}{3}})\times (3^{\frac{2}{3}})[/tex]

Second step: the term [tex]3^{\frac{2}{3}}[/tex] could be written in other way.

[tex]area=(81^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]

Third step: in the same way, the term [tex]81^{\frac{1}{3}}[/tex] could be written in other way taking into account that [tex]81=9^2[/tex].

[tex]area=((9^2)^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]

Forth step: the two terms must have the same base to apply other exponential rules; for example, the base could be 9.

[tex]area=(9^{\frac{2}{3}})\times (9^{\frac{1}{3}})[/tex]

Fifth step: as both terms have the same base, we must add the exponents and simplify the expression.

[tex]area=9^{\frac{2}{3}}\times 9^{\frac{1}{3}}[/tex]

[tex]area=9^{\frac{2}{3}+\frac{1}{3}}[/tex]

[tex]area=9^{\frac{3}{3}}[/tex]

[tex]area=9^1[/tex]

[tex]area=9[/tex]

Thus, the area of the rectangle is 9.

Answer:

Value of x = 5 .

Step-by-step explanation:

Combined variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others.

Given: x varies directly with y and inversely with z.

i.e [tex]x \propto y[/tex] and [tex]x \propto \frac{1}{z}[/tex]

then we have the combined variation as;

[tex]x = k\frac{y}{z}[/tex] ......[1] where k is the constant variation.

Substitute the value of x =20 when y =8 and z = 4 to solve for k;

[tex]20 = k\frac{8}{4}[/tex]

Simplify:

[tex]20 = 2k[/tex]

Divide both sides by 2 we get;

[tex]k = 10[/tex]

Now, substitute k =10 , y =4 and z = 8 to find x;

Using [1] we have;

[tex]x = 10 \times \frac{4}{8} = 10 \times \frac{1}{2} = 5[/tex]

Therefore, the value of x is, 5

The problem involves the concept of direct and inverse variation. From the given conditions, a constant of variation 'k' is calculated as 1.6. Using this 'k', x is found to be 20 when y is 4 and z is 8.

This question involves the concept of direct and inverse variation. When it is stated that 'x varies directly and inversely with z', it implies a relationship which can be written in the form of y = kx/z, where k is a constant of variation.

To find the constant, we plug in the provided values for x, y, and z into our equation. Hence, using the known values (x=20, y=8, and z=4), our equation becomes 8 = 20k/4. Simplifying this gives us k = 1.6.

Now, to find the value of x when y=4 and z=8, we substitute these into the equation giving us 4 = 1.6x/8. Solving for x, we find that x = 20.

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Answer:1/15

Take 60/4=15

The theoretical probability of winning a prize is 1/15.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, given data;

Total trials = 60

Expect to win = 4

Probability = favorable outcomes/total outcomes

                   = 4 / 60

                   = 1/15

Thus, The theoretical probability of winning a prize is 1/15.

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Answer:

22 residents per square mile is the correct answer.

Step-by-step explanation:

One way to find the answer is the following:

The first number to be considered is 425, which is the total amount of square miles.

The second one is 9,350 that represents the amount of residents.

To find the answer, we have to perform the following calculation:

9350%425=22, which is the correct answer.

Step-by-step explanation:

hahaha have a great weekend and happy birthday to you i q and happy birthday really want to get together

Answer:

8x + 5y = 3

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given 8x = - 5y + 3 ( add 5y to both sides )

8x + 5y = 3 ← in standard form

Hello there!

An equation to model this situation is 11 - 4n = 3.

The unknown number has a value of 2.

Okay, so let's start by breaking down the question - we'll use n to model the unknown number.

The difference of 11 and 4 times a number equals 3

This means we are using subtraction.

The difference of 11 and 4 times a number equals 3

This means the numbers we are subtracting are 11 and 4n. (11 - 4n)

The difference of 11 and 4 times a number equals 3

This means our equation is equal to 3. (11 - 4n = 3)

Now we solve for N.

11 - 4n = 3

Start by subtracting 11 from both sides to work to isolate N.

11 - 11 - 4n = 3 - 11

-4n = -8

Next, divide both sides by -4 to finish isolating n.

-4/-4n = -8/-4

n = 2

I hope this helped you and have a great day!

The number in the equation is 2, as that when multiplied by 4 results in 8, and when subtracted from 11 gives 3.

The question is looking for a number that, when multiplied by 4 and subtracted from 11, equals 3. We can represent this with the equation 11 - 4x = 3. To solve for x, we first move 4x to other side by adding 4x to both sides. This gives us 11 = 4x + 3. Then, we subtract 3 from both sides which gives us 8 = 4x. Finally, to solve for x, we divide both sides by 4. Therefore, x = 8 / 4 = 2.

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Answer:

256

Step-by-step explanation:

4(7)^2 + 30(2)

196 + 60 = 256

Answer: 8/1

Step-by-step explanation: 6/1 x 3/4= 24/3( divide both numbers by 3) and you get 8/1 yards of fabric.

Answer:

18/4

Step-by-step explanation:

3/4 per scarf

6 scarfs

6*(3/4)=(18/4)=4.5 yards

Answer:

The answer is:  " [tex]5a^\frac{1}{2}[/tex] "  .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a"  ;  into "exponential form".

Note that "5 square root of a" ;

             or;  " 5 root a " ;

means:    " 5 times the {square root of the variable, "a" };

      or :    " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as:   " [tex]5\sqrt{a}[/tex] " .

_______________________________________________

Note the following property of exponents:

[tex]\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n[/tex] .

_____________________________________________

So;  to write:  " √a "  ;   as an exponent :

______________________________________________

Note:  

" [tex]\sqrt{a}  = \sqrt[2]{a} =   \sqrt[2]{a^1} = (\sqrt[2]{a})^1 =  a^\frac{1}{2}[/tex] " .

_______________________________________________

So:

" [tex]\sqrt{a}  =  a^\frac{1}{2}[/tex] "  ;

_______________________________________________

And:

________________________________________________

" [tex]5\sqrt{a}  =  5a^\frac{1}{2}[/tex] " .

________________________________________________

   →   The answer is:  " [tex]5a^\frac{1}{2}[/tex] " .

________________________________________________

Hope this helps!

   Best wishes in your academic endeavors

           — and within the "Brainly" community!

________________________________________________

Answer:

Each jar has 12/7 cups of blueberries.

Step-by-step explanation:

To find out how many cups of blueberries per jar, we take the number of cups of blue berries and divide by the number of jars

12 cups/7 jars

12/7 cups of blueberries per jar

Each jar has 12/7 cups of blueberries.

Answer:

Step-by-step explanation:

1458/26 = 56.0769230769

Hope this helps! <3

The quotient is 56, and there is a remainder of 2.

The quotient of 1,458 divided by 26 is 56. In long division, you would set up the problem as follows:

        56

     __________

26 | 1,458

You start by asking how many times 26 can fit into 145 (the first two digits of 1,458). The answer is 5 (5 times 26 equals 130).

You write the 5 above the line and subtract 130 from 145, leaving you with 15.

Then, you bring down the next digit, which is 8, making it 158. You repeat the process, finding that 26 goes into 158 six times (6 times 26 equals 156).

Write the 6 above the line, and you're left with a remainder of 2. So, the quotient is 56, and there is a remainder of 2.

for such more question on quotient

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The equation that expresses a mathematical rule or relationship is called a formula.

A formula in mathematics is an assertion of a fact, rule, or principle using mathematical symbols. Equations, equalities, identities, inequalities, and asymptotic expressions are a few examples of formulae.

Few examples of formulae are:

(a + b)^2 = a^2 + b^2 + 2ab

(a - b)^2 = a^2 + b^2 - 2ab

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

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Answer:

$24

Step-by-step explanation:

So, Basically you multiply 4 times 6 because you have 4 tickets that cost $6

and you would get 24 and add a dollar sign you should be good.

Answer:

Answer (a):

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Answer (b)

9 large dogs.

Step-by-step explanation:

Paws at Play made a total of $1234 grooming 22 dogs.

Paws at Play charges $43 to groom each small dog and;

$75 for each large dog.

Let the number of small dogs be 's'

And the number of large dogs be 'l'

A system of equations will be:

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;

43s + 43l = 946 ... (i)

43s + 75l = 1234 ... (ii)

Subtracting (i) from (ii) we get;

32l = 288 , l = [tex]\frac{288}{32}[/tex] = 9

So there are 9 large dogs.

Answer:

The age of Cassandra is 32 years and Seymour is 64 years old.

Step-by-step explanation:

Let the age of Cassandra be x.

The age of Seymour = 2x

If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages will be equal.

x + 16 = 2x - 16

2x - x = 16 + 16

x = 32 years

x = 32 years

The age of Seymour = 2x =  2 × 32 years = 64 years

The age of Cassandra is 32 years and Seymour is 64 years old.

The formula of a volume of a cylinder:

[tex]V=\pi r^2H[/tex]

r - radius

H - height

W have r = 3cm and H = 8cm. Substitute:

[tex]V=\pi(3)^2(8)=\pi(9)(8)=72\pi\ cm^3[/tex]

[tex]\pi\approx3.14\to V=72(3.14)=226.08\ cm^3[/tex]

Answer:

y = 8/5x - 9

Step-by-step explanation:

That would be your equation.

Final answer:

The question pertains to finding the equation of a straight line with a given slope of 8/5 and a y-intercept of (0,-9), which can be represented in slope-intercept form as y = (8/5)x - 9.

Explanation:

The question involves constructing the equation of a line with a given slope and y-intercept.

To find the equation of a line, we use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

Given the slope of 8/5 and a y-intercept of (0,-9), the equation of the line would be y = (8/5)x - 9.

The slope tells us that for every increase of 5 units in the horizontal direction (-axis), the line rises 8 units in the vertical direction (-axis). Meanwhile, the y-intercept indicates that the line crosses the y-axis at -9.

Answer:41% i think i am pretty sure

Step-by-step explanation:

don't have one

Answer:

116.1

Step-by-step explanation:

If you round each decimal to the nearest tenth it would be 26.7 + 89.4 because you round up if it is 6 and above and round down for 5 and below. The rest is just simple addition.