• Which ratios have a unit rate of 37 Choose ALL that apply. 15 1 1 1 cup : cup cups: 25 cups 3 ) 3 3- cups : 2 cups 4 2 2 () 2 cups : cup 3 21 / 1 5 cups : cup 6 cup : 1 cup 3

Step 1: Define the formula

The formula for finding the average rate of change is :

Step 2: Identify the coordinates of the points on the line

A(-3, -1), B(6, 2)

Step 3: Apply the formula

Hence, the average rate of change is 1/3

Answer: Option A

Solution:

Given:

Collinear points are the points that lie on the same straight line or in a single line.

Hence, from the image given, the points that lie on the same straight line are; F, E, G

Therefore, option D is the correct answer.

Since G is the midpoint of FH,

Therefore,

The answer is 15, option a.

Slope m is -4; y-intercept b is 3

Here, we want to find the slope and y-intercept of the given plot

The y-intercept is the y-value of the point at which the graph crosses the y-axis

Thus, as we can see, the value is 3

To find the slope, we use the slope equation and supply the points

The equation is as follows;

ANSWER

The solution is (8, -2)

EXPLANATION

The substitution method consists in solving one of the equation for one of the variables - it will be as a function of the other variable, then substitute that variable by this expression into the other equation. There we'll have an equation for one of the variables, we solve that and the substitute the value into the expression we found first.

For this problem let's solve the first equation for y:

We can just add y to both sides of the equation and then subtract 58 from both sides:

Now we substitute y by this expression into the second equation:

And solve for x. First apply the distributive property to the second term:

Add like terms - this means adding the coefficients of x:

Then add 348 to both sides of the equation:

Finally, divide both sides by 47:

Now, to find y we just have to substitute x = 8 into the expression we found for y as a function of x:

So the solution to the equation is x = 8 and y = -2, which is the point (8, -2)

The tax rate she needs to pay is 24% of the $180.

Then first, we convert the 24% to decimal, by dividing by 100:

Now we multiply the total amount by the percentage in decimal:

The amount she will have to pay in taxes is $43.20

So, the average person blinks 15,000 times a day. Each blink lasts one tenth, that is, 0.1 seconds.

So:

15,000*0.1 = 1,500 seconds.

Letter D

when

y = 2

x = 10

Therefore,

C = 0.2 g

Solution:

Given that;

A person tosses a coin twice.

The tree diagram representing when a coin is tossed twice is shown below

From the tree diagram above;

The set representing the event E that the first toss is tails is

Hence, the answer is

Explanation

By observation, the possible selections are

Answer: Option Y

Given:

Jeanine Baker makes floral arrangements. She has 16 different cut flowers and plans to use 4 of them

We will find a number of ways to select of the 4 flowers

As the arrangement is not necessary

We will use the combinations

So, the number of ways =

So, the answer will be 1820 possible ways to select 4 flowers

Answer:

$19.03

Explanation:

Given the price to be $17.95 and a 6% tax, to determine the tax amount we have to find 6% of $17.95;

So the tax is $1.08. Let's go ahead and find the total cost by adding the tax to the price;

Therefore, the total cost is $19.03.

11 people

11 posibilities for president

10 possibilities for Vice president

11 x 10 = 110

Answer: 110 different combinations

Hello! If we rewrite this expression y = kx, we will see that k will have a variation according to y and x values, look:

Now, notice that the exercise has given a point to us: (5, 8).

Remember that (5, 8) = (x, y), so, let's replace it in the formula:

Right answer:

k = k equals (8 Over 5 ).

The given expression is:

Therefore,

Dividing both sides of the equation by t:

Hence,

Thus,

To rationalize the equation by √t:

d =

To find the corresponding expression, solve the sum of the given expression and then divide it by 2.

Given expression:

Taking the product of the fractions implies multiplying the numerator and denominator:

Hence, the product of the fractions is 1/40

The given number is

The square root of 100 is 10.

Remember that whole and integers are also rational because they are a subset of rational numbers set.

Answer:

(B) Conclusion.

Explanation:

Given the statement:

If it is sunny Thursday, we will go to a ball game

The phrase: 'we will go to a ball game' is the conclusion.

Point slope formula:

y-y1 = m (x-x1)

Where:

m= slope

(x1,y1) = point of the line

Replacing with the point given (3.3) and slope =-1/7

y+3 = -1/7 (x+3)

We are given the following equation

Part A: What is the slope?

The standard equation of a line in slope-intercept form is given by

Where m is the slope and b is the y-intercept.

Comparing the given equation with the standard form, we see that the slope is 3.

m = 3

Option (A) is correct.

Part B: What is the y-intercept?

Comparing the given equation with the standard form, we see that the y-intercept is -1.

b = -1

The y-intercept is the value when the line cuts the y-axis, so the corresponding x-value is 0.

So the point is

(0, -1)

Option (A) is correct

Part C: graph y = 3x - 1

The above equation can be graphed by taking some coordinates (substitute x-values into the function and get the y-values from the function.

When x = -1

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

(-1, -4)

When x = 1

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

(1, 2)

When x = 2

y = 3x - 1 = 3(2) - 1 = 6 - 1 = 5

(2, 5)

Let us sketch these points to form a line.

The above is a rough graph for the given equation y = 3x - 1

Answer:

∴ [tex]k = m^{2} - \frac{1}{4}[/tex]

Step-by-step explanation:

     [tex]m=\sqrt{k} + \sqrt {(\frac{1}{4})}[/tex]

   [tex]m^{2} = k+\frac{1}{4}[/tex]

[tex]k+\frac{1}{4} =m^{2}[/tex]

   ∴ [tex]k = m^{2} - \frac{1}{4}[/tex]

Explanation:

The initial expression is:

-a + 11b - 7 - 2a - b

The terms -a and -2a are like terms. In the same way, 11b and -b are like terms.

So, using the distributive property, we get:

-a + 11b - 7 - 2a - b

-a - 2a + 11b - b - 7

(-1 - 2)a + (11 - 1)b - 7

-3a + 10b - 7

Therefore, the simplified expression is: -3a + 10b - 7.

Answer: -3a + 10b - 7

we have

10/23=4/x

multiply in cross

10*x=23*4

10x=92

x=92/10

Okay, here we have this:

Considering the provided equation, we are going to solve it, so we obtain the following:

6 (3x - 2) = -4(5x - 3) + 8

18x - 12 = -20x + 12 + 8

18x - 12 = -20x +20

18x+20x=+20+12

38x=32

x=32/38

x=16/19

Finally we obtain that the solution for the equation is 16/19.

We start by saying that the deck has 52 cards, in which they have 4 aces (one for each suit).

We are also taking about drawing cards wthout replacement.

Then, for the first draw, we have 4 in 52 chances of drawing an ace.

For the second draw, as one ace is taken out of the deck of cards, there is a chance of 4-1=3 out of 52-1=51 of drawing an ace.

This can be generalized for the 4 draws as:

where P is the probability of drawing 4 aces in 4 draws.

There is a probability of 3.7 * 10^(-6) = 0.0000037 = 0.00037% of drawing 4 cards from a standard deck and all 4 being aces.

Answer:

7/25

Step-by-step explanation:

2/5 x 7/10 =14/50 divide by 2/2 = 7/25

Given:

Required:

To convert the given degree into radian.

Explanation:

To convert the value of the angle in degree, to its equivalent radians, we need to multiply the given value with π/180.

Therefore,

Final Answer:

We have a pre-image that is the point (4, 5).

We applied a dilation with scale 0.5 and center at (1, 6).

As the center is not the center of coordinates, we applied a change of coordinates to make (1, 6) the center of coordinates.

Then, the point (4, 5) becomes:

We apply the dilation to the point and get:

Now, we go back to the original coordinates:

We can verify the transformation in a graph:

The graph makes sense, as the image point is half the distance from the center of dilation that the pre-image point.

Answer:

it is a line that forms a 90° angle with another