There are 160 adults and 275 children at a zoo. The zoo makes a total of $5,470 from the entrance fees, and the cost of an adult and a child to attend is $27, how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $​

Answer:

121

Step-by-step explanation:

Answer:

Reasonable prediction = 240 students

Step-by-step explanation:

Given that:

6 out of every 8 students own a pet.

Ratio = 6 : 8

Number of students surveyed = 320

Predicted number of students who own pets = x

Ratio = x : 320

As the relationship is proportional;

6 : 8 :: x : 320

Product of mean = Product of extreme

8x = 320 * 6

8x = 1920

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]

Hence,

Reasonable prediction = 240 students

Answer:

it false

Step-by-step explanation:

trust me

Answer:

your answer is True. for a explanation look under this.

Step-by-step explanation:

Hello let's work out this problem together

lets split this in half so 112/8 plus x and 15 + 4x -7

let's start off with part one 112/8 = 14 plus 2 is 16.

now part 2

15 + 4 times 2 -7

15 plus 8 -7

15 plus 1 = 16

Answer:

5 shells were broken.

Step-by-step explanation:

To find how many shells were broken, we must multiply the amount broken to the total to find the number of shells broken.

1/3 * 15=5

Answer:

39 pounds of type A coffee were used.

Step-by-step explanation:

Let,

x be the pounds of type A coffee used

y be the pounds of type B coffee used

According to given statement;

4.15x+5.25y=980.85      Eqn 1

y = 4x    Eqn 2

Putting y=4x in Eqn 1

4.15x+5.25(4x) = 980.85

4.15x+ 21x = 980.85

25.15x = 980.85

Dividing both sides by 25.15

[tex]\frac{25.15x}{25.15}=\frac{980.85}{25.15}\\x=39[/tex]

Hence,

39 pounds of type A coffee were used.

Answer:

0.1402

Step-by-step explanation:

For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.

This means that [tex]p = 0.44[/tex]

Suppose researchers choose 7 baby elk at random to monitor.

This means that [tex]n = 7[/tex]

What is the probability that more than 4 elk in the sample to survive to adulthood?

This is:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]

[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]

[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]

0.1402 probability that more than 4 elk in the sample to survive to adulthood.

Using the concept of binomial probability, the probability that more than 4 survive is 0.1402

Using the binomial probability formula :

The probability that more than 4 survive can be defined thus :

Using a binomial probability calculator :

[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]

[tex] P(x > 4) = 0.1402 [/tex]

Hence, the probability that more than 4 survive is 0.1402

Learn more : https://brainly.com/question/15929089

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10

Answer:

-5

Step-by-step explanation:

here u go! hope i got it fast enough!

Answer:-5

Step-by-step explanation:

When there are two minuses It becomes plus

Answer:

The answer is 11 :) Have a Happy Thursday !!

Answer:

Amount contributed by Oscar = $8

Step-by-step explanation:

Given that:

Amount spent on gift = $36

Amount contributed by Moriah = $12

Let,

x be the amount contributed by each of them.

Thus,

Gift total = Contribution of all

36 = x+x+x+12

36 = 3x+12

3x+12 = 36

3x=36-12

3x=24

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]

Hence,

Amount contributed by Oscar = $8

Answer:

It is called "an account receivable"

Step-by-step explanation:

Answer:

Ok ill help u ! What do u need help on?

Given:

A line segment AB on a coordinate plane.

The rule of translation is

[tex]f(x,y)\to (x-6,y-3)[/tex]

To find:

The coordinates of A' and B'.

Solution:

From the given graph, it is clear that the coordinates of A and B are A(1,3) and B(5,1).

The rule of translation is

[tex]f(x,y)\to (x-6,y-3)[/tex]

Using this rule, we get

[tex]A(1,3)\to A'(1-6,3-3)[/tex]

[tex]A(1,3)\to A'(-5,0)[/tex]

And,

[tex]B(5,1)\to B'(5-6,1-3)[/tex]

[tex]B(5,1)\to B'(-1,-2)[/tex]

Therefore, the coordinates of A' and B' are A'(-5,0) and B'(-1,-2).

Answer:

I think its uh carrot

Step-by-step explanation:

Answer:

Cost = 184+50w

Step-by-step explanation:

Given statement is "Mike had $184 and he is earning $50 per week".

Here, $184 is fixed and $50 increases per week.

Let w is the variable.

ATQ,

Cost = 184+50w

Hence, the algebraic expression for the given statement is 184+50w.

Answer:

You included the zero from right side of decimal point, which you shouldn't have.

Answer:

You take the percentage times the total of money you have.

Housing is the cost of $465.75 ( 27%x $1725)

Food is the cost of $345 (20%x$1725)

Clothes is the cost of $155.25 (9%x$1725)

Gifts is the cost of $120.75 (7%x$1725)

Transportation is the cost of $224.25 (13%x$1725)

Entertainment is the cost of $86.25 (5%x$1725)

Miscellaneous is the cost of $51.75 (3%x1725)

Insurance is the cost of $86.25 (5%x%1725)

Health is the cost of $51.75 (3%x$1725)

Savings is the cost of $138 (8%x$1725)

Im so so sorry of this is wrong!!

I hope it helps if it is right!!

Answer:

The square root of 10 is 3.16

Step-by-step explanation:

I hope that this helps you out..

Answer:

the coefficient of x is an implied 1

any variable that's by itself without a coefficient has an implied 1

Step-by-step explanation:

I hope this helps :)

Answer:

y = -2x + 7/6

Step-by-step explanation:

y-2/3=-2(x-1/4)

Distribute the -2

y-2/3=-2x+ 2/4

y - 2/3 = -2x + 1/2

Add 2/3 to each side

y - 2/3 + 2/3 = -2x + 1/2 + 2/3

Get a common denominator

y = -2x + 3/6 + 4/6

y = -2x + 7/6

Answer:

y=-2x+7/6

Step-by-step explanation:

The equation for point-slope is y-y1=m(x-x1), where (x1,y1) are one of the points on the line.

y-2/3=-2(x-1/4)

(1/4, 2/3) is the point and the slope is -2

The equation for slope-intercept is y=mx+b, where m is the slope and b is the y-intercept.

y=(-2)x+b **Substitute the slope into m**

(2/3)=-2(1/4)+b **Substitute the points in as x and y**

2/3=-2/4+b

14/12=b **Add 2/4 to both sides**

14/12 is the same as 7/6

7/6 is the y-intercept

y=-2x+7/6

Answer:

[tex]Blue = 12[/tex]

[tex]Yellow = 9[/tex]

Step-by-step explanation:

Given

[tex]Blue : Yellow = 4 : 3[/tex]

Required

Determine the number of pints of each to make 21 of green paints

First, calculate the total ratio.

[tex]Total = 4 + 3[/tex]

[tex]Total = 7[/tex]

The blue and the yellow pint can be represented individually as:

[tex]Blue = \frac{4}{7} * Green[/tex]

[tex]Yellow = \frac{3}{7} * Green[/tex]

Number of blue paint calculated last week is:

[tex]Blue = \frac{4}{7} * 21[/tex]

[tex]Blue = {4} * 3[/tex]

[tex]Blue = 12[/tex]

[tex]Yellow = \frac{3}{7} * Green[/tex]

[tex]Yellow = \frac{3}{7} * 21[/tex]

[tex]Yellow = {3} * 3[/tex]

[tex]Yellow = 9[/tex]

Answer:

Step-by-step explanation:[tex]\geq \\ \sqrt{x}[/tex]

Answer:

Okau

Step-by-step explanation:

Normal distributions can have any mean and any (positive) standard deviation. The standard normal distribution is the one with mean zero and standard deviation one. The standard normal distribution is just a normal distribution scaled/standardized by the z-formula.

Answer:

175

Step-by-step explanation:

Brainly plsss

9/3. 5/14 hope that's the right awnser

0.36.  i just had this question and got it right. :)