Triangle XYZ is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers.


What is the slope of XZ ?

we can write x = 10/p to represent the number of toy cars x, in each package.

Expression: An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases. In language, a phrase on its own may include an action, but it doesn't make a complete sentence

The management purchased n cars, which equals 10.

There were p packages altogether, and each box contained one car. Per bundle, there should be x cars

Since there are x cars in each box, p packages would contain x*p cars

The equation can be written as 10 = x*p because we know there were p packages with 10 cars in them.

The multiplication of x and p is indicated by an asterisk (*).

You can write x = 10/p to represent the number of cars x, in each package.

The division symbol is denoted by a slash (/).

Because the number of cars and parcels can only be whole numbers, the values of x and p must also be whole numbers. Since the result of x and p is 10, both x and p must be factors of 10.

The factors of 10 are: 1,2,5 and 10

So, we get the following scenarios:

1 package with 10 cars inside it

2 packages each with 5 cars

5 packages each with 2 cars

10 packages each with 1 car

If the number of cars/packages must be greater than 1, then we have the following two cases:

2 packages each with 5 cars

5 packages each with 2 cars

we can write x = 10/p to represent the number of toy cars x, in each package.

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The answer to the given statement is FALSE. This is the commutative property of multiplication and not of addition.

To "commute" is to move about or travel. According to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added.

The formula for the commutative property of numbers is A + B = B + A if two numbers A and B are supplied.

A + B = B + A

A × B = B × A

A - B ≠ B - A

A ÷ B ≠ B ÷ A

According to the commutative property formula, the result is unaffected by the sequence in which two numbers are added or multiplied. However, the order of the integers matters for subtracting and dividing any two real numbers, so it cannot be changed.

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The value of t is $12.

Solution:

3 x 50 = 150

18 x 20 = 360

The sum is 360 + 150 = 510. Then subtract the value 510 from 630.

$630 - 510

$120

120 / 10 = 12

Subtract the null hypothesis mean from the sample mean. Divide the difference by the sample standard deviation. Multiply the result by the square root of the sample size. The t value measures the magnitude of the difference relative to the variability of the sample data. In other words, T is simply the calculated difference expressed in units of standard error.

The larger the size of T the more evidence against the null hypothesis. The important t-value is the limit of the t-distribution. The t distribution is a probability distribution used to compute population parameters when the sample size is small and the population variance is unknown. The T-score is used to analyze whether to support or reject the null hypothesis.

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The ratio of coins to notes in a bag is 3 to 8.

The total number of coins is 24.

Let there be y number of notes in the bag. Then we can write,

On solving we get,

Thus there are 64 notes in the bag.

If the scale used is 3cm to 100mi, the distances will be larger, because 100 miles is a lot more than 3 centimeters.

A change of scale is what we use to represent large objects (or smaller objects) in diagrams.

They allow us for example to have a big drawing of a cell, or put an area of the size of a country in a A4 piece of paper.

In this case, the change of scale is:

3cm to 100mi

This means that each 3 centimeters in the real object will measure 100 miles in the scale diagram, so the distances in the diagram will be larger, as 100 miles is a lot more than 3 centimeters.

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Answer:

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient so gradient of line is -3.

Equation of line is y = -3x + c.

Substitute C(2,7) into the equation to find c.

7 = -3(2) + c

c = 13

Hence, equation of line is y = -3x + 13.

If Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours, then he must receive $60 in tips, to earn a total of $229 in that time period.

As per the question statement, Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours.

We are required to calculate the amount of tips Nathan must receive to earn a total of $229, working for 26 hours.

To solve this question, we will first calculate the amount Nathan can earn from his regular salary rate, working for 26 hours, and then subtract that amount from $229 which he earned as his salary from the restaurant plus his tips while working for those 26 hours.

Therefore, Nathan will earn $(26 * 6.50) = $169 in his regular salary from the restaurant working for 26 hours.

But since Nathan earned a total of $229 working at the restaurant for the same 26 hours, the extra money over his salary must be the amount he earned in tips.

Therefore, Nathan received $(229 - 169) = $60 in tips, to earn a total of $229 working for 26 hours at the restaurant.

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We will have the following:

Firs, we can see that once we find one side we will have both, since they are equal.

Now, using the law of sines:

So, the length of side Z is 2sqrt(2).

Answer: If two students solved the problems below one of the students made an error.  Mary is wrong while Nico is correct.

Error in calculation

Mary =66÷3 = 6. 33 (Wrong)

Nico= 62.4÷13=4.8 (Correct)

Hence.

Mary:

Using calculator 66/3 will gives us 22 and not 6.33.

66÷3=22

Nico

Using calculator 62.4/12 will give us 4.8 which means that Nico was correct.

Therefore If two students solved the problems below one of the students made an error.  Mary is wrong while Nico is correct.

Answer: 0 & -7

Step-by-step explanation:

Answer:

12. 0

13. -7

Hope this helps :)

If you need an explanation just comment!

It is discovered that:

a) 45 percent using the exponential function.

b) 950.

c)9013 bacterium

n(t)= n(0) e square( kt )

n(5) = 950 e square 0.45(5)

9013 microbes then.

The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria in the culture after 4 hours

A model for an exponential function is?

n(t)= n(0) e square( kt )

In which

The model in this quandary is:

So,

n(t)=950 e square( 0.45t)

also

k=0.45 n(0) = 950 ,and:

(A) 45 percent.

b) 950.

Item c:

We have that at t = 5:

n(5) = 950 e square 0.45(5)

9013 microbes then.

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Answer: 4902.8

Step-by-step explanation: take 8892 subtract 18% from it then do that again with the number you got from subtracting 18% from 8892 and so on and so fourth just do it one more time and you get 4902.76 which now you round it to the nearest tenth and that equals 4902.8.

The ordered pairs that are on the graph of the equation 4y - 6x = 12 include the following:

A. (-4, −3)

C. (0, -2)

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane of a graph.

Next, we would test the ordered pairs to determine which are on the graph of the given equation as follows;

For ordered pair (-4, −3), we have:

4y - 6x = 12

4(-3) - 6(-4) = 12

-12 + 24 = 12

12 = 12 (True).

For ordered pair (-1, 1.5), we have:

4y - 6x = 12

4(-1) - 6(1.5) = 12

-4 - 9 = 12

-13 = 12 (False).

For ordered pair (0, -2), we have:

4y - 6x = 12

4(0) - 6(-2) = 12

0 + 12 = 12

12 = 12 (True).

For ordered pair (3, -4), we have:

4y - 6x = 12

4(3) - 6(-4) = 12

12 + 24 = 12

36 = 12 (False).

For ordered pair (0, 3), we have:

4y - 6x = 12

4(0) - 6(3) = 12

0 + 18 = 12

18 = 12 (False).

For ordered pair (6, 4), we have:

4y - 6x = 12

4(6) - 6(4) = 12

24 - 24 = 12

0 = 12 (False).

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Complete Question:

Select all the points that are on the graph of the equation 4y - 6x = 12. Show your work.

A. (-4, −3)

B. (-1, 1.5)

C. (0, -2)

D. (3, -4)

E. (0, 3)

F. (6, 4)

Answer:

x^{2} +8x+15

Step-by-step explanation:

Use Distributive Property:

(x+3)(x+5)

[tex]x^{2}+5x+3x+15[/tex]

[tex]x^{2} +8x+15[/tex]  Answer

Answer: x ^ 2 + 8x + 15

Step-by-step explanation: You can use the FOIL method to multiply. F - first two variables, so the two x.

x • x = x^2

O - outside, the outermost variables in the parenthesis, which would be x and 5.
x • 5 = 5x

I - inside, the innermost variables in the parenthesis, which would be x and 3.

x • 3 = 3x

L - last two variables, so 3 and 5.

3 • 5 = 15

Altogether:
x^2 + 5x + 3x + 15, which simplifies to x^2 + 8x + 15.

Image & example for clarity! Hope this helped!

30 units

Since from point 0 to V, there are 25 units of distance

and from 0 to T, there are 5 units of distance

From T to V, 25 + 5 = 30 units

NB: Since we are only considering the length the - is not taken into account

Answer:

There are 15 boys.

Step-by-step explanation:

Let x represent the answer!

it would be 4x+3x=35

add 4x+3x

7x=35

divide 35 by 7

x=5

multiply 5 x 4 then you get 20 girls

then multiply 5 x 3 to get 15 boys.

your welcome <3

x  = { 0, 3, 2}

The input of relation ((3,5), (3,2), (0, 6), (2, 7)} is x=  { 0, 3, 2}.

Here given a relation ,

((3,5), (3,2), (0, 6), (2, 7)}

We know that input x and output y together form a relation ,

Here x is the input.

so in this relation , Input = x  = { 0, 3, 2}

                             Output  y = { 2, 5,6,7}

∴ Input of the given relation ((3,5), (3,2), (0, 6), (2, 7)} is x =  {0, 3, 2}.

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Answer:

Answer:

15kg of oranges.

Step-by-step explanation:

cost of 3kg of apples = cost of 5kg of oranges

cost of 9kg of apples which is (3 x 3) = cost of (5 x 3) kg of oranges

= cost of 15kg of oranges.

Answer:

33

Step-by-step explanation:

because 18 divided by 6 is 3

and 11 times 3 is 33

Answer: 1. 33

Step-by-step explanation:

I say 33 because the short side on the one is 6 and is 18 on the other so they multiply by 3. That being said 11 times 3 is 33. I hope this helps! :)

We need to determine which of the given inequalities can be used to determine how long you must walk (w) and run (r) in order to cover more than 8 miles.

We know that you can walk at a rate of 4 mi/h, and run at a rate of 6mi/h.

Thus, if you walk for w hours, you will walk a distance d₁, in miles, given by:

Also, if you run r hours, you will run a distance d₂, in miles, given by:

Now, notice that the total distance is the sum of d₁ and d₂. And the total distance, in miles, must be greater than 8.

We represent 'greater than' using the symbol '>':

Therefore, the correct option is:

Answer: 3

Step-by-step explanation: First, solve with the parenthesis. Next, solve the square brackets.  Then, solve the quote brackets. And finally, solve the them after solving the brackets.

Answer:

Step-by-step explanation:

17-[4[-1(-3)2]

17-[4+3(2)]

17-[4+6]
17-10

7

The solution to the inequality expression given as 2 > 8 - 43h is h > 6/43

The inequality expression is given as

2 > 8 - 43h

Subtract 8 from both sides of the inequality expression

So, we have the following expression

2 - 8 > 8 - 8 - 43h

Evaluate the difference in the above expression

So, we have the following expression

-6 > - 43h

Divide both sides of the inequality by -43

So, we have

-6/-43 > - 43h/-43

Evaluate the quotient

6/43 < h

Rewrite as

h > 6/43

Hence, the value of the inequality is h > 6/43

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The   ratio of the deposit Emma paid  to the total of the 18 equal payments in its simplest form is 2/3

What is total cost of the van?

The total cost of the van is the its cost plus the VAT of 20%, which is determined as the 20% of the cost, as computed below:

VAT on the cost of van=20%*cost of van

cost of van=£23500

VAT on the cost of van=20%*£23500

VAT on the cost of van=£4,700

total cost=£23500+£4,700

total cost=£28,200

sum of 18 monthly payments=18*£940

sum of 18 monthly payments=£16,920

deposit=total cost-sum of 18 monthly payments

deposit=£28,200-£16,920

deposit=£11,280

deposit as a ratio of monthly payment=11280/16,920

divide both by 5640

deposit as a ratio of monthly payment=2/3

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The value of h(f(x)) is x which is the C option in the question.

It is given in the question that h(x) is the inverse of f(x).

We have to find the value of h(f(x)).

If h(x) is the inverse of f(x), we can write is as:-

[tex]f^{-1}(x)=h(x)[/tex]

Hence,

h(f(x)) = [tex]f^{-1}(f(x))=(f^{-1}f)(x) = x[/tex]

Hence, the value of h(f(x)) is x.

Inverse function

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

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Answer:

72 jars per minute

Hope this helps!

Step-by-step explanation:

432/6 is 72.

Answer: v = 92

Step-by-step explanation:

8.81. (v – 89) – 10 = 16.43

8.810 +8.81. -89 – 10 = 16.43

8.81v – 784.09 – 10 = 16.43

8.81v – 794.09 = 16.43

8.81v – 794.09 = 16.43

(8.810 – 794.09) + 794.09 = 16.43 + 794.09

8.81v = 16.43 + 794.09

8.81v = 810.52

8.81v = 810.52

810.52

(8.81) 8.81

8.81

810.52 / 8.81

v = 92

Answer:

y = -6x + 2

Step-by-step explanation:

(1, -4)     m = -6

(x₁, y₁)

y - y₁ = m (x - x₁)

y - (-4)= -6 (x - 1)

y + 4 = -6x + 6

  -4             -4

------------------------

y = -6x + 2

I hope this helps!

As given by the question

There are given that a expression

Now,

Simplify the above expression

Hence, the value of the given expression is shown below: