If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?​

Answer:

The average weight of okapi  is 290 kg

The average weight of llama is 160 kg

Step-by-step explanation:

To solve the question, we are to resolve the word problem as follows;

Let the average weight of Okapi be X

The average weight of llamas be Y

X + Y = 450 and

3 Y = X + 190

Solving the above simultaneous equation, we have

X = 450 - Y

∴ 3·Y = 450-Y+190

4·Y =640

Y = 160 and X = 450 - 160 = 290

Therefore, the average weight of okapi  = 290 kg while the average weight of llama = 160 kg.

A tangent line intersecting with a radius always creates a  right angle.

A tangent line intersects with a circle at only one point.

This point is referred to as the point of tangency.

When a radius is drawn to intersect with the tangent line at the point of tangency, then the angle at that point of intersection is a right angle i.e. the measure of the angle is 90 degrees.

This is so because both lines (i.e. the radius and the tangent line) are perpendicular lines.

Hence, the text that completes the statement is right angle.

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Final answer:

(Option D)Mitchell's stipend was  $506.02.

Explanation:

To find out how much Mitchell's stipend was, we can subtract the amount he spent on textbooks from the amount he had left at the end of the semester.

Let's assume Mitchell's stipend was X dollars.

He spent $429.17 on textbooks, so the remaining amount would be X - $429.17.

We know that he had $77.85 left, so we can set up the equation:

X - $429.17 = $77.85

Now, we can solve for X:

X = $77.85 + $429.17 = $506.02

So, Mitchell's stipend was $506.02. This corresponds to answer (Option D).

Under the elimination method, we normalized the systems of equations, resulting in the equation: 0=1. Since this is not possible, the system has no solutions.

To determine the number of solutions for the system of equations, we can use the method of substitution or elimination. Let's use elimination:

Because 0 does not equal 1, we can conclude that the system of equations has no solutions.

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Answer:

95 and 136 respectively

Step-by-step explanation:

4775/50=95R25

4775/35=136R15

Answer:

[tex]28.8\%[/tex].

Step-by-step explanation:

We have been given that prices  increase  at  a  monthly  rate  of  2.4%. We are asked to find the percentage at which prices will increase in a year.

We know that 1 year equals 12 months.

To find the increase in one year, we will multiply monthly increase rate by 12 as:

[tex]\text{Yearly increase rate}=12\times 2.4\%[/tex]

[tex]\text{Yearly increase rate}=28.8\%[/tex]

Therefore, the prices will increase at a rate of [tex]28.8\%[/tex] in a year.

Answer:

The answer is C(n,r) = n!/[(n-r)!r!]

The formula for the following conditions is  [tex]C(n,r) = \dfrac{n!}{[(n-r)!r!]}[/tex]

We can use combinations for this case,

A total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in a total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, a total number of choices, in that case, would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called the permutation of k items chosen out of m items (all distinct).

The formula for the following conditions is  [tex]C(n,r) = \dfrac{n!}{[(n-r)!r!]}[/tex]

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Answer:

375

Step-by-step explanation:

713 - 37 = 676

676 divided by 2 = 338

That would be the washer but we need to add the 37 again for the dryer

338 + 37 = 375

Answer:

C) x=-2 x=-5

Step-by-step explanation:

When you look at the X-axis you can see that is crosses at the points (-5,0) and (-2,0)

Answer:

The zeros are x=-2 and x=-5.

Answer:

Step-by-step explanation:

Substitute the numbers in for y and z.

3/2(6)+5/3(3)-3

9+5-3

14-3=11

answer: 11

Answer: 9.16 feet

Step-by-step explanation:

Hi, to answer this question, since we have formed a right triangle (see attachment) we have to apply the Pythagorean theorem:

a2 +b2 = c2

Where c is the hypotenuse of a right rectangle (the longest side) and a and b are the lengths of the other 2 sides.

In this case the hypotenuse us the ladder.

So, replacing with the values:

4^2 + b ^2 = 10^2

16 + b^2 = 100

b^2 = 100-16

b^2 = 84

b = √84

b= 9.16 feet

Answer:

  54.2 mph

Step-by-step explanation:

Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...

  70² = c² +(c -10)²

  4900 = 2c² -20c +100 . . . . eliminate parentheses

  c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form

  (c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form

  c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical

  c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution

Cynthia's average speed was 54.2 miles per hour.

Answer:

331.25

Step-by-step explanation:

First you want to find how much each class cost. So first you want to divide $198.75 by 15 and you will get 13.25. Once you do that you will multiply              13.25 by 25 to get 331.25. Your welcome.

Answer:

If you plug it all in you will get x=2 x=-3

Step-by-step explanation:

The quadratic formula is

-b+/-[tex]\sqrt[/tex]-b^2-4ac all over 2(a)

your equation 2x^2+2x-12

you can label it

a=1      b=2               c=-12

If you plug it all in and solve you will get x=2 x=-3

The values of x would be 2 and 3 which are determined by using the quadratic formula to solve the given quadratic function.

The quadratic function is defined as a function containing the highest power of a variable is two.

We have been given that quadratic function as

2x² + 2x - 12

Compare the given function to the standard quadratic function f(x) = ax² + b x + c.

We get a = 2, b = 2 and c = -12

Using the quadratic formula to solve the above quadratic function

[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Substitute the values of  a = 2, b = 2 and c = -12 in the quadratic formula,

[tex]x = \dfrac{-2\pm\sqrt{2^2-4\times2\times-12}}{2\times2}[/tex]

[tex]x = \dfrac{-2\pm\sqrt{4+96}}{4}[/tex]

[tex]x = \dfrac{-2\pm\sqrt{100}}{4}[/tex]

[tex]x = \dfrac{-2\pm10}{4}[/tex]

x = (-2+10)/4 and x = (-2-10)/4

x = (8)/4 and x = (12)/4

x = 2 and x = 3

Therefore, the values of x would be 2 and 3 which are determined by using the quadratic formula to solve the given quadratic function.

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Answer:

360

Step-by-step explanation:

12x6x5 is 360. The volume formula is V=L*W*H

The magnitude of the first duckling's displacement is 13 units, and for the second duckling it is approximately 15.3 units. The second duckling wandered 2.3 units farther than the first.

The student is asking about the displacements of two ducklings from their nest and how much farther one wandered than the other. To compare the displacements of the two ducklings, we calculate the magnitudes of their displacements using the Pythagorean theorem.

For the first duckling's displacement, with coordinates (12,5), the magnitude is
sqrt(122 + 52) = sqrt(144 + 25) = sqrt(169) = 13 units.

For the second duckling's displacement, with coordinates (13,-8), the magnitude is
sqrt(132 + (-8)2) = sqrt(169 + 64) = sqrt(233) = approximately 15.3 units.

The second duckling wandered farther by the difference in magnitudes, which is 15.3 units - 13 units = 2.3 units. Therefore, the second duckling wandered 2.3 units farther than the first duckling.

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Answer:

Mark types the fastest rate of words per minute at 75 words per minute

Step-by-step explanation:

In this question, we want to know which of the three typists has the fastest typing rate.

To calculate this, what we need to do is to divide the total number of words they can type by the number of minutes taken to type those words.

For Natasha, we have; 2600 words / 40 minutes = 65 words per minute

For Henry, we have 4900 words/70 minutes = 70 words per minute

For Mark, we have 3750 words/50 minutes = 75 words per minute

We can see that Mark with 75 words per minute has the fastest typing rate

Answer:5

Step-by-step explanation:PLS GIVE ME BRAINLIEST

Value of h is 5 for 3h=15.

An equation is a mathematical statement that shows that two mathematical expressions are equal. It is used to calculte the values of the variable such they satisfy the expression on both the side of the equal symbol. The equation may  involve one variable, two variables, three variable,s and so on.

Given equation:

3h=15

This is an equation in one variable, which can be solved by transposition.

To calculate the value of h

On dividing 3 both sides,

3h/3=15/3

h=5

Thus , for equation 3h=15, value of h is 5

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Answer: 11%

Step-by-step explanation: What I did is i added 21 8 and 2 together and subtracted them by the amount of students which is 28. Then with that number/ 3 I divided by 28 which gave me the percentage .10714. I then rounded and ended with 11%. Im pretty sure this is the right answer if anyone thinks they know im wrong please say

Answer:

THE CORRECT ANSWER IS 3/28

Step-by-step explanation:

Answer:

9/20

(9 over 20)

Step-by-step explanation:

Answer:

9/20 or 0.45

Step-by-step explanation:

Find the reciprocal of the divisor

Reciprocal of 4/9: 9/4

Now, multiply it with the dividend

So, 3/15 ÷ 4/9 = 3/15 × 4/9= 3 × 9/15 × 4

3 × 9

15 × 4

=  

27 /60

After reducing the fraction, the answer is  

9 /20 or 0.45

Answer:

The answer is 32.

Step-by-step explanation:

Remember that order of operation is very important in this problem.

Substitute x for 3 and y for 2 in the equation.

When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.

Final answer:

The value of the expression 4x² - 2y when x = 3 and y = 2 is 32, found by substituting the values of x and y into the expression and simplifying.

Explanation:

To find the value of 4x² - 2y when x = 3 and y = 2, we need to substitute these values into the expression.

So, the value of the expression 4x² - 2y when x = 3 and y = 2 is 32.

Answer:

10 cm.

Step-by-step explanation:

In order to better understand this question, I will attach an allusive image to the question.

Keep in mind that in this case the base of the triangle is equal to the radius of the base of the cone since the triangle rotates on its own axis, therefore the measurement of the base corresponds to 10 cm, therefore the radius measures 10 cm.

Answer:

It has grown by 1406.50%

Step-by-step explanation:

Take 3234956 and divide it by 2300 and you get your percentage from population then to now

Please make me the Brainliest Answer

Answer:

see below

Step-by-step explanation:

exponent to log: [tex]a^b[/tex] = c ---> logₐc = b

ie. question 6

log ₁₀(3x+1) = 2 -----> [tex]10^{2} = 3x+1[/tex]

that will get you through questions 1 to 3, 5 to 6, and 8

in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3

for questions 7 and 9,

remember that:

logₐc + logₐd = logₐ(cd)

logₐc - logₐd = logₐ([tex]\frac{c}{d}[/tex])

remember change of base is [tex]log_{a} b = \frac{log_xb}{log_xa}[/tex], this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e

Answer:

1 year:

The amount is $6695 and the interest is $195

2 years:

The amount is $6895.85 and the interest is $395.85.

The balance in the account at the end of 1 year would be approximately $6695 and at the end of 2 years would be approximately $6899.85 with an initial investment of $6500 with a 3% interest rate compounded annually.

The subject of this question is compound interest. When an amount of money is placed in an account with a certain interest rate, the amount grows over time. In this case, the initial investment is $6500 and the interest is compounded annually at a rate of 3%.

To calculate the total amount in the account after a certain period, you can use the following formula:

A = P(1 + r/n)^(nt)

A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount), r is the annual interest rate (in decimal), n is the number of times that interest is compounded per year, and t is the time in years.

Applying this formula to the problem: for the end of first year, t=1, we will have:

A=6500(1 + 0.03/1)^(1*1) ≈ $6695

For the end of 2 years, t=2, we will get:

A=6500(1 + 0.03/1)^(1*2) ≈ $6899.85

Therefore, the balance in the account at the end of 1 year would be approximately $6695 and at the end of 2 years would be approximately $6899.85. Assume there are no withdrawals from the account during this period.

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Answer:

Hence the probability that are already owned are 0.943620

Step-by-step explanation:

Given:

No fo character sequences using either letter or digits had not been claimed=94696

To find :

What is probability that letter are already claimed ?

Solution:

We know that there are 26 alphabets  and digits are 0,1,2.. 9

Hence total will be of 36.

Now we are going to Arrange the sequence for all possible values

as there 4 characters we get ,each of them with 36 possible values

=36*36*36*36

=36^4

=1679616.

Now we have a sequence with 94696 character and digits are not claimed .

Its probability

=94696/1679616

=0.05637.

So the required probability will be ,

P(claimed)=1- P(Not claimed)

= 1-0.056379

=0.943620

Hence the probability that are already owned are 0.943620

Answer:

She can paint 6 rooms.

Step-by-step explanation:

Given:

Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.

If Maya buys 9 cans of paint.

Now, to find the rooms she can paint.

So, we use unitary method to get the number of rooms:

If,  [tex]\frac{3}{2}[/tex] cans of paint is needed to paint 1 room.

Then, 1 can of paint is needed to paint = [tex]\frac{1}{\frac{3}{2}} =\frac{2}{3}[/tex] room.

Thus, 9 cans of paint is needed to paint = [tex]\frac{2}{3} \times 9[/tex]

[tex]=\frac{18}{3} \\\\=6\ rooms.[/tex]

Therefore, she can paint 6 rooms.

Answer:

3375

Step-by-step explanation:

Because you need to do length x width x height

Answer:

The person is 14 years old

Step-by-step explanation:

1. Multiply 6 times 18 which is 108

2. Add all numbers together in list which is 94

3. Subtract 94 from 108 which is 14

4. To check answer add 94 plus 14 and divide by 6 and you will get the median which is 18, now you know this answer is correct.

Answer:

16/25 or 0.64 or 64%

Step-by-step explanation:

Please kindly check the attached file for explanation

Answer: The probability of picking a green block or red block is 0.64 (or 64%)

Step-by-step explanation: The total number of blocks can be derived as;

31 (R) + 49(G) + 24(Y) + 21(P) = 125

With 125 blocks in total, there are 125 possibilities and the possibility of picking any of the four colors shall be be determined as a fraction of the entire possible outcomes.

The probability of picking a green ball when picked at random is given as;

P(Green) = Number of required outcomes ÷ Number of all possible outcomes

P(Green) = 49/125

(Note that there are 49 green blocks and a total of 125 blocks of all four colors)

Also the probability of picking a red ball when picked at random is given as;

P(Red) = Number of required outcomes ÷ Number of all possible outcomes

P(Red) = 31/125

The probability of picking a green block or a red block is given as P(green or red)

P(Green or Red) = 49/125 + 31/125

P(Green or Red) = 80/125

P(Green or Red) = 16/25

P(Green or Red) = 0.64

Therefore the probability of picking a green or red block at random is 0.64 or 64%