there are 5 dogs, 8 cats, and 2 birds for sale at the pet store. what is the ratio in simplest form of birds to cats?

Answer:

It is not proportional becuase it has a different rate of change.

Hope this helps too!

Step-by-step explanation:

The problems have involved going down a waterslide.

To model a slide, you start at the highest point and then decrease as you move down the slide.

The rate of change has compared a drop or decrease in vertical height to an increase in either time or horizontal distance.

The rates of change is negative because the assignment involved the model of a waterslide with a downward slope.

A negative rate of change would occur if the output decreases as the input increases, and vice versa.

For a model slide, the highest point is plotted first, and going down the waterslide shows a negative slope.

Therefore, the rates of change is negative because the assignment involved the model of a waterslide with a downward slope.

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The graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉ as the graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.

A modulus function is a function that determines a number or variable's absolute value. No matter what input was provided to this function, the outcome is always positive.

Consider different values for x.

Say,

x = -1; f(-1) = [-1] = 1

x = 1; f(1) = [1] = 1

For any value of the x, the value of the function will be positive only.

The graph is attached in the image.

Consider different values for x.

Say,

x = 0; f(0) = [0] + 7 = 0 + 7; f(0) = 7

x = -1; f(-1) = [-1] + 7 = 1 + 7; f(-1) = 8

x = 1; f(1) = [1] = 1 + 7; f(1) = 8

For any value of the x, the value of the function will be positive only, but it would be 7 units shifted up on the y axis.

The graph is attached in the image.

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Answer: 150

Step-by-step explanation:

Let x be the total number of cans that was students' goal.

Given : Students collected 600 cans for the canned food drive that was 80% of their goal .

We can write 80% as 0.80

Then, we have

[tex]0.80x=600\\\\\Rightarrow\ x=\dfrac{600}{0.80}=750[/tex]

Thus, The students' goal of collecting cans for the canned food drive = 750 cans

Now, the number of food cans required to collect to reach the goal= 750-600=150

To pack an order for 4,270 blocks using crates and stacks, you will need 43 crates and 27 stacks.

To pack an order for 4,270 blocks using only crates and stacks, you could use a combination of both. First, determine the number of crates you will need. Since each crate holds 100 blocks, divide 4,270 by 100 to get 42.7. Since you can't have a fraction of a crate, you will need 43 crates.

Next, find out how many blocks are left after packing the crates. Subtract the number of blocks used in the crates (43 crates x 100 blocks) from the total number of blocks (4,270 blocks). You will be left with 4,270 - (43 x 100) = 270 blocks.

Now, you can use stacks to pack the remaining blocks. If each stack can hold 10 blocks, divide 270 by 10 to get 27 stacks. Therefore, you will need 43 crates and 27 stacks to pack an order for 4,270 blocks.

Answer:

a) Expression 1 = 29.833

b) (5+4) * 2 + 6 -2 * 2 - 1

Step-by-step explanation:

In expression 1 we have to know that the order to solve operations is:

First parenthesis, then multiplication and division and then addition and subtraction.

So we have the expression:

6*7-3/2*9+4/3

We first solve multiplications and divisions:

42-1.5*9+1.34

42-13.5+1.34 = 29.84

b) The parenthesis is the operation that goes first so if we insert the parenthesis in 5+4 we will get the next result:

(5+4) * 2 + 6 - 2 * 2 - 1

We have to solve parenthesis first, then multiplication and division and then addition and subtraction:

(9) * 2 + 6 - 4 - 1

18+6-4-1 = 19

We get the number 19.

Final answer:

The experimental probability of rolling a 4 is calculated by dividing the number of times a 4 is rolled by the total number of rolls. It may not match the theoretical probability exactly in the short term but should converge to approximately 0.1667 as the number of trials increases.

Explanation:

To find the experimental probability of rolling a 4 with a fair six-sided die, we must consider the frequency of the event (rolling a 4) occurring among a number of trials. Since each side of the die has an equal chance of landing face up, each side has a probability of 1/6.

If a die is rolled many times, and the results are recorded, the experimental probability can be calculated as the number of times a 4 occurs divided by the total number of trials. For example, if a die is rolled 120 times and the number 4 comes up 20 times, the experimental probability for rolling a 4 would be 20/120, which simplifies to 1/6. However, since this is experimental probability, the outcome may not always exactly match the theoretical probability due to variations in the short term. Nevertheless, as the number of trials increases, we expect the experimental probability to get closer to the theoretical probability of 1/6 or approximately 0.1667 when rounded to four decimal places.

Answer:

3y+4x=5

Step-by-step explanation:

step 1

Find the slope

we have

(–7, 11) and (8, –9)

m=(-9-11)/(8+7)

m=-20/15

m=-4/3

step 2

Find the equation of the line into point slope form

we have

m=-4/3

point (-7,11)

substitute

y-11=-(4/3)(x+7) ----> equation of the line into point slope form

Multiply by 3 both sides

3y-33=-4(x+7)

3y-33=-4x-28

3y+4x=33-28

3y+4x=5 -----> equation of the line into standard form