The ratio of people to animals is 40 to 15. There are 27 animals. How many people are there?

Answers

Answer 1
40 x
—- = —-
15 27

15x = 1080
x=72
there are 72 people!!
Answer 2

Answer: is 72 people to 27 animals

Step-by-step explanation:


I can find the ratio by cross multiplying


40/15 to x/27


15x = 1080


x = 72


you can also divide 40/15 for a ratio percent = 8/3

multiply 27 animals x 8/3 = 72


two ways to solve for ratios


Related Questions

a steel sphere with a 3-inch radius is made by removing metal from the corners of a cube that has the shortest possible side lengths. how many cubic inches are in the volume of the cube?

Answers

The volume of the cube with the shortest possible side lengths is 216 cubic inches.

If a steel sphere with a 3-inch radius is made by removing metal from the corners of a cube that has the shortest possible side lengths, then the side lengths of the cube must be equal to the diameter of the sphere.

side length of cube = diameter of sphere

side length of cube = 2 x radius of sphere

side length of cube = 2 x 3 inches

side length of cube = 6 inches

The volume of the cube can be calculated using the formula below.

V = s³

where V = volume and s = side length of cube

V = (6 inches)³

V = 216 cubic inches

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A bicycle company has designed and built a new model of sports bicycle. They have determined that the profit for the sale of the bicycles can be modeled by the function ��(��) =− 2�� , where x is the price of each bicycle. Which of the 2+ 920�� + 84, 000 following is a sale price for the bicycles that will allow the company to achieve a profit of $189,800?

Answers

Answer:120 dollars

Step-by-step explanation:

what are the chances that radio transmissions from earth or messages sent on distant space probes will ever be received by living beings? what are the chances that radio transmissions from earth or messages sent on distant space probes will ever be received by living beings? extremely high. very low. about 50%.

Answers

The chances that radio transmissions from Earth or messages sent on distant space probes will ever be received by living beings are very low.

What is meant by radio transmission?

In radio transmission, a radio transmitter's antenna couples electromagnetic energy into the atmosphere or other open space. Electromagnetic radio waves are caught by a receiving antenna during radio reception and coupled into a receiver for detection.

Radio waves have a low frequency, which limits their ability to deliver large amounts of data at once.

There are extremely slim odds that radio signals from Earth or messages placed on far-off space probes will ever be received by living things, it is acceptable to the state. Remember that some scientists have held this belief about the existence of extraterrestrial life for years without any convincing evidence.

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Katerina runs 15 miles in 21/2 hours. What is the average number of minutes it takes her to run 1 mile? ​
A. 6
B. 10
C. 12 1/2
D. 16 2/3
E. 17 1/2

Answers

B. 10
i do not know the explanation

If Katerina completes a 15-mile run in 2 1/2 hours. She will complete a mile in an average of five minutes. Option B is correct.

What is average?

It is described as a single number that indicates either the closed value for each entry in the set of data or the mean value for the entire set of data.

It is given that, In 2 1/2 hours, Katerina completes a 15-mile run.

We have to find the average number of minutes it takes her to run 1 mile.

15 miles = 2 1/2 hours

15 miles=5/2 hours

The unitary approach allows us to calculate the value of a single unit and then use that value to calculate the value of the required number of units.

1 miles= 5 /30 hours

1 miles = 1/6 hours

As we know that 1 hour consists of 60 minutes.

1 hours = 60 minute

1 mile = 60 / 6 minutes

1 miles = 10 minute

Thus, the average number of minutes it takes her to run 1 mile will be 10 minutes. Option B is correct.

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Given the function f(x) = 8x + 7, find each of the following. f(1), f(-9), f(0)​

Answers

Answer:

f(1) = 15

f(-9) = -65

f(0) = 7

Step-by-step explanation:

f(1) = 8(1) + 7

f(1) = 8 + 7

f(1) = 15

f(-9) = 8(-9) + 7

f(-9)  = -72 + 7

f(-9) = -65

f(0) = 8(0) + 7

f(0) = 7

a newsletter publisher believes that 333% of their readers own a rolls royce. a testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. after performing a test at the 0.100.10 level of significance, the testing firm fails to reject the null hypothesis. what is the conclusion regarding the publisher's claim?

Answers

There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.

According to the newsletter publisher that 33% of their readers own a Rolls Royce.

The testing firm says that this is an inaccurate issue and performs a test to dispute the publisher's claim, after performing the test at the 0.10 level of significance the results are as follows,

Null hypothesis:

H₀ : p = 0.33

Alternative hypothesis:

H₁ : p ≠ 0.33

We reject H₀ at the 0.10 level of significance.

Therefore, There is sufficient evidence at the 0.10 level of significance  that the percentage is not 33%.

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Suppose that 13 inches of wire costs 52 cents.
At the same rate, how many inches of wire can be bought for 36 cents?

Answers

Answer:

9 inches

Step-by-step explanation:

Set it up like a fraction ratio and solve for x.  as the price (denominator) and amount (numerator) have a set ratio, you can cross-multiply for your answer.

[tex]\frac{13}{52} =\frac{x}{36\\}\\[/tex]

13*36 = 468

468/52 = 9

Another way would be to divide 13 by 52 and multiply by 36, but then you end up with decimals and cross multiplication will be easier in the long run.

Answer the question below

Answers

A) 6/7
B) 5
C) 2
Hope this works

The function g(x)is represented by g (x)=2(x+3)^2+4.rewrite the function in standered form.

Answers

g( x ) = 2x² + 12x + 22 is the standard form of the the function g( x ) = 2( x + 3 )² + 4.

What is the standard form of the function?

Polynomials in standard forms are written in a way that arrange the terms in descending order.

Given the data in the question.

g( x ) = 2( x + 3 )² + 4

First, we expand; ( x + 3 )² → ( x + 3 )( x + 3 )

g( x ) = 2( ( x + 3 )( x + 3 ) ) + 4

Using FOIL Method

g( x ) = 2( x² + 3x + 3x + 9 ) + 4

g( x ) = 2( x² + 6x + 9 ) + 4

Apply distributive property

g( x ) = 2( x² + 6x + 9 ) + 4

g( x ) = ( 2x² + 12x + 18 ) + 4

Add 18 and 4

g( x ) = 2x² + 12x + 18 + 4

g( x ) = 2x² + 12x + 22

Therefore, the function in standard form is g( x ) = 2x² + 12x + 22

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help me these two questions please

Answers

The values are given as;

1. - 2a - 9 = 6a + 15,  a = -3

2. 14 + 3n = 5n - 6, n = 10

What is an algebraic expression?

An algebraic expression can simply be described as a mathematical expression that composed of arithmetic operations, such as;

ParenthesesAdditionsubtractionBracketDivisionMultiplication

They are also known to be made up of terms, variables, constants, factors and coefficients.

Given the algebraic expression;

- 2a - 9 = 6a + 15

Let's take the following steps;

collect like terms

- 2a - 6a = 15 + 9

add or subtract like terms

-8a = 24

Make 'a' the subject

a = 24/-8

Find the quotient

a = -3

14 + 3n = 5n - 6

collect like terms

3n - 5n = -6 - 14

-2n = -20

Make 'n' the subject of formula

n = 10

Hence, the values are -3 and 10

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how many ways can a president, a vice-president and a secretary be chosen from 12 members of a club assuming that one person cannot hold more than one position?

Answers

Answer: 1320 ways.

Step-by-step explanation:

For this problem you should use the formula for variations in combinatorics. You use this when choosing a few objects from a group in which the order of the objects is of importance:

[tex]P^{12} _{3}=\frac{12!}{(12-3)!}=\frac{12 \cdot 11\cdot 10\cdot ...\cdot 1}{9 \cdot 8 \cdot ... \cdot 1} = 12 \cdot 11 \cdot 10 = 1320[/tex]

where ! stands for factorial.

what is y= –12x–6 on a graph

Answers

The graph of the equation y = –12x – 6 is attached in the solution.

We can find the x and y intercept of the line to find make the graph.

Putting x = 0 in the given equation, we get:-

y = -12(0) - 6 = 0 - 6 = -6

Hence, the x -intercept is (0,-6).

Putting y = 0 in the given equation, we get:-

0 = -12x - 6

6 = -12x

x = 6/(-12)

x = -1/2

Hence, the y -intercept is (-1/2,0).

We can find another point on the line.

Putting x = -1 in the given equation, we get:-

y = -12(-1) - 6

y = 12 - 6 = 6

y = 6

Hence, another point on the line is (-1,6).  

Plotting these points we can graph the equation of the line.

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Hello,Can you help me with question #56 in the photo?Thank you,

Answers

In order to calculate the total spending in the town each year, first, multiply by the 70% that is spent within the town,

[tex]\begin{gathered} \text{\$}4,000,000\times70\% \\ \text{\$}4,000,000\times0.70 \\ =\text{\$}2,800,000 \end{gathered}[/tex]

Also, multiply by 70% of the amount people will spend after they receive it in town,

[tex]\begin{gathered} \text{ \$}2,800,000\times70\% \\ \text{ \$}2,800,000\times0.70 \\ =1,960,000 \end{gathered}[/tex]

Answer:

The total spending in the town each year is $1,960,000

if 124 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2 and total receipts for the concert was $274, how many of each went to the concert?

Answers

Answer: (52,72) (52 adults and 72 children)

Step-by-step explanation:

1) Create 2 formulas that show the information show above, 2.5x+2y=274 showing how the x is how many adults paid for a ticket and y is how many children paid for a ticket. The second formula being x+y=124 meaning the combination of children and adults equal 124 people.

2) Take those formulas and input them into a graph as shown in the picture (Graph 1)

3) Find the common point shown on the graph (should be the middle grey dot if on Desmos as shown (Graph 2)

4) The common point is (52, 72)

And if you plug these numbers in by replacing the x's and y's i shown in step 1 they bring an output of 274 and 124

Hope this helps :)

the interest rate on a five-year certificate of deposit (cd) for banks in south florida in 2018 was normally distributed with a mean of 2.28 percent and a standard deviation of 0.37 percent. what is the cutoff interest rate for the highest 15% of banks in this area?

Answers

The highest cut-off interest rate is 2.66%

Given that,

Standard deviation (sigma) = 0.37

Mean percentage (Mu) = 2.28 %

P(Z > 1.04) = 0.15

z = 1.04

Using the z-score formula,

x = (z × sigma) + mu

x =  (1.04 × 0.37 )+ 2.28 = 2.66 %

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Find the reminder when 2 to the 100th power is divided by 5 explain your work

Answers

The reminder of 2 to the 100th power divided by 5 is 1

What is the reminder when 2 raised to the power of 100 is divided by 5?

2 to the 100th power is:

[tex]2^{100}[/tex]  = 1,267,650,600,228,229,401,496,703,205,376

Then dividing 2 to the 100th power by 5:

1,267,650,600,228,229,401,496,703,205,376 / 5 = 253,530,120,045,645,880,299,340,641,075  (without considering the decimal value)

This tells us how many times 5 can divide 2 to the 100th power.

Next, we need to multiply the answer obtained from the division by 5 (since we used 5 to divide):

253,530,120,045,645,880,299,340,641,075 x 5 = 1,267,650,600,228,229,401,496,703,205,375

Lastly, subtracting our last answer from the value of 2 to the 100th power will give us the reminder:

1,267,650,600,228,229,401,496,703,205,376 - 1,267,650,600,228,229,401,496,703,205,375 = 1

Therefore, the reminder when 2 raised to the power of 100 is divided by 5 is  1.

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What is the average of the expressions 2x+5, 5x-6, and -4x+2

Answers

Answer:

x+1/3

Step-by-step explanation:

Add the terms together (3x+1), then divide by how many terms there are (3), to get the average of the expressions

What is the slope-intercept of (-4,-5) and slope is 1/2

Answers

We are given a set of coordinates which are;

[tex](-4,-5)[/tex]

And the slope which is;

[tex]\frac{1}{2}[/tex]

The equation of a line in slope-intercept form is;

[tex]y=mx+b[/tex]

Note that in this equation, the variable m is the slope (that is, the coefficient of x). we can now substitute for x, y and m into the equation above and we'll have;

[tex]\begin{gathered} y=mx+b \\ \text{Where,} \\ x=-4,y=-5,m=\frac{1}{2} \\ -5=\frac{1}{2}(-4)+b \\ -5=-2+b \\ \text{Add 2 to both sides of the equation;} \\ -3=b \end{gathered}[/tex]

We now have the values of the slope and the y-intercept as

[tex]m=\frac{1}{2},b=-3[/tex]

The equation now can be written as;

[tex]\begin{gathered} y=\frac{1}{2}x+(-3) \\ y=\frac{1}{2}x-3 \end{gathered}[/tex]

ANSWER:

[tex]\begin{gathered} m=\frac{1}{2} \\ b=-3 \\ \text{Equation;} \\ y=\frac{1}{2}x-3 \end{gathered}[/tex]

I’m very confused with this question, I tried to do it but I just have slight feeling I got this wrong and I want to double check make sure my answer is correct. Would you please me help me thank you very much

Answers

The powers of the imaginary number i have four possible values: 1, i, -1, and -i. Let's see some examples:

i⁰ = 1 (any number with the exponent 0 equals 1)

i¹ = i (any number with the exponent 1 is the number itself)

i² = -1 (this follows from the definition of the imaginary number, the square root of -1)

i³ = i² * i = -1 * i = -i

Now, the results start to repeat from 1 to -i:

i⁴= i² * i² = (-1) * (-1) = 1

i⁵ = i⁴ * i = 1 * i = i

i⁶ = i * i⁵ = i * i = i² = -1

i⁷ = i⁶ * i = -1 * i = -i

From that, we can follow the steps below to find the value of a power of i:

• divide the exponent by 4;

,

• if the rest of the division is 0, then the power equals ,i⁰ = 1,;

,

• if the rest of the division is 1, then the power equals ,i¹ = i,;

,

• if the rest of the division is 2, then the power equals ,i² = -1,;

,

• if the rest of the division is 3, then the power equals ,i³ = -i,.

So, for the power i⁶⁴⁹, the exponent is 649. Following the steps above, we find:

• 649/4, has a quotient of 162 and the, rest 1,. Therefore:

i⁶⁴⁹ = i¹ = i

Thus, i⁶⁴⁹ equals i.

I need to know how to get the answers I’m new to this

Answers

Always that we have an integer, let's say 2, we can rewrite it like:

[tex]\frac{2}{1}[/tex]

This will help us when multiplying fractions. To multiply two fractions, we simply multiply the numerator with the numerator and denominator with denominator. In this case:

[tex]\begin{gathered} 2\times-\frac{7}{4}=\frac{2}{1}\times-\frac{7}{4}^{} \\ \\ -\frac{2\times^{}7}{1\times4} \end{gathered}[/tex]

And then solve:

[tex]-\frac{2\times^{}7}{1\times4}=-\frac{14}{4}[/tex]

Now we can further simplify this fraction, because 14 and 4 are divisible by 2, then:

14 = 2 x 7

4 = 2 x 2

Then the final answer is:

[tex]-\frac{7}{2}[/tex]

what is the missing measurement (w) for the poster of spongebob.

Answers

To make a poster you have to keep the ratio between lenght and height (otherwise it will look weird)

This is:

[tex]\frac{12\operatorname{cm}}{20\operatorname{cm}}=\frac{w}{36\operatorname{cm}}[/tex]

At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.25 and the cost of a large greeting card is $4.50. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?

Answers

The Total cost of x small and y large greeting cards is; 1.25x + 4.50y.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the Cost of the small greeting card = is $1.25 .

The Cost of the large greeting card =$4.50.

We need to determine the Total cost of 5 small and 4 large greeting cards and the total cost of x small and y large greeting cards.

The Cost of 5 small greeting cards = 6.25

The Cost of 4 large greeting cards = 18

Then the Total cost = $6.25+ $18 =$24.25

Therefore, the Total cost of 5 small and 4 large greeting cards is; $24.25.

Now, the total cost of x small and y large greeting cards will be;

Cost of x small greeting cards = 1.25x

Cost of y large greeting cards = 4.50y

Total cost = 1.25x + 4.50y

Therefore, the Total cost of x small and y large greeting cards is; 1.25x + 4.50y.

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Twenty years from now I will be 4 times as old as my present age what is my present age

Answers

approximately 7 years old

Step-by-step explanation:

893 is 94% of what amount

Answers

4,700 is correct for this question

3. Given the perimeter of the figure is 76 ft, Find
the dimensions of the shape.
(4x-5) ft
(25-x) ft
(13 + x) ft
T
(3x + 1) ft

Answers

The most appropriate choice for perimeter of a shape will be given by-

UT = 19 ft

ST = 19 ft

RS = 19 ft

UR = 19 ft

What is perimeter of a shape?

Perimeter of a shape is the length of the boundary of the shape.

It is obtained by taking the sum of all the length of the boundary.

Here,

UT = (25 - x) ft

ST = (3x + 1) ft

RS = (13 + x) ft

UR = (4x - 5) ft

Perimeter = UT + ST + RS + UR

                = (25 - x + 3x + 1  + 13 + x +4x -5) ft

                = (7x + 34) ft

By the problem,

[tex]7x +34 =76\\7x = 76 -34\\7x = 42\\x = \frac{42}{7}\\x =6[/tex]

UT = [tex]25 - 6[/tex] = [tex]19[/tex] ft

ST = [tex]3 \times 6 + 1[/tex] = [tex]19[/tex] ft

RS = [tex]13 + 6 = 19[/tex] ft

UR = [tex]4\times 6 - 5[/tex] = 19 ft

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Which operation comes first in the problem below? 4(3.7 +1.23) -12 A. Addition B. Subtraction C. Multiplication D. Division

Answers

A. Addition

Explanation

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete

Step 1

so, firts calculate the parenthesis

[tex]\begin{gathered} 4(3.7+1.23)-12 \\ 4(4.93)-12 \end{gathered}[/tex]

the operation in parenthesis is an addition

i hope this helps you

in the presence of changing variability, the estimated standard errors of the ols estimators are inappropriate. what does this imply about using standard testing?

Answers

The error term, which refers to the sum of the deviations within the regression line and explains the discrepancy between the theoretical value of the model and the actual observed results, denotes the margin of error inside a statistical model.

What does OLS regression's error term mean?The error term, often referred to as the residual, disturbance, or remaining term, is denoted by the letters e,, or u in various ways in models.​Use of an Error Term in a Formula : An error term basically denotes that the model is not entirely precise and yields varying outcomes when used in practical applications. Assume, for instance, that a multiple linear regression function has the following shape:

Y=αX+βρ+ϵ

where:

α,β=Constant parameters

X,ρ=Independent variables

ϵ=Error term

​During an empirical test, if the actual Y is different from the expected or projected Y in the model, the error term does not equal 0, indicating that other factors affect Y.The OLS estimators will continue to be linear, impartial, and consistent in the presence of autocorrelation. However, because to the absence of a minimal variance, the estimators will no longer be BLUE. It implies that the predictions made using the OLS estimators will be ineffective if the error terms are autocorrelated.

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evaluate (8+2)³-6 pla help me thanks

Answers

Answer:

994

Step-by-step explanation:

work inside the parenthesis first. 8+2 = 10 then raise 10 to the power of 3 which is 1000. subtract 6 from 1000 & you get 994

Answer:

994

Step-by-step explanation:

PEDMAS

Do the math inside the parentheses first

8+2 = 10         Now do the exponent    10^3 = 1000   Now subtract 6  = 994

2. Evaluate the expression
4 (-1.2-4-4.75) +1+(-3)².

Answers

Answer:

-29.8

Step-by-step explanation:

4 (-1.2-4-4.75) +1+(-3)²

4 (-1.2-4-4.75) +1+(-3)²

4 (-9.95) +1+9

4 (-9.95) +1+9

-39.8 +1+9 = -29.8

What is the value of pi

Answers

Answer:

the value of pi is 3.14159

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