16 The three models below are each shaded to represent a different fraction.
What is the sum of the fractions represented by the shaded parts of the
models?

The image of the transformation on the graph are (7, -7), (7, -2) and (-1, -14)

The graph represents the given parameter

On the graph, we have the coordinates of the triangle to be

(3, 1), (3, 6) and (-5, -6)

The transformation rule is given as

Translated 4 units to the right, and 8 units down.

Mathematically, the transformation rule is given as

(x, y) = (x + 4, y - 8)

When the above transformation rule is applied to the coordinates of the triangle, we have

(3 + 4, 1 - 8), (3 + 4, 6 - 8) and (-5 + 4, -6 - 8)

Evaluate the sum and the difference

So, we have

(7, -7), (7, -2) and (-1, -14)

Next, we plot the image of the transformation on the graph

See attachment for the image of the transformation of the triangle on the graph

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Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

Answer:

-x.(3x^2+4)

Step-by-step explanation:

Brain-list?

Answer:

-3(-1)^3-4(-1)= 27+4=31

Step-by-step explanation:-3 and -1 when you multiply both minus will change into plus. same for -4 and -1 when you multiply will change the signs. so you will get 27+4=31

Answer:

The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)

Step-by-step explanation:

A nth order polynomial f(x) has roots \(x_{1}, x_{2}, ..., x_{n}\) such that \(f(x) = (x - x_{1})*(x - x_{2})*...*(x - x_{n}}\),

Which of the following is a polynomial with roots: − square root of 3 , square root of 3, and −2?

So

\(x_{1} = x_{2} = \sqrt{3}\)

\(x_{3} = -2\)

Then

\((x - \sqrt{3})^{2}*(x - (-2)) = (x - \sqrt{3})^{2}*(x + 2) = (x^{2} -2x\sqrt{3} + 3)*(x + 2) = x^{3} + 2x^{2} - 2x^{2}\sqrt{3} - 4x\sqrt{3} + 3x + 6\)

Since \(\sqrt{3} = 1.73\)

\(x^{3} + 2x^{2} - 3.46x^{2} - 6.93x + 3x + 6 = x^{3} - 1.46x^{2} - 3.93x + 6\)

The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)

Given

Solution

multiply all through by 5 equation

We have

We have

Add equation ii and Equation iii

We now have

This means NO SOLUTION

Answer:

d

Step-by-step explanation:

Answer:

70°

Step-by-step explanation:

Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.

Answer:

(−5t−1)(3t−4)

Step-by-step explanation:

Factor −15t2+17t+4

−15t2+17t+4

=(−5t−1)(3t−4)

The factored form of the polynomial is (-3t+ 4) (5t + 1).

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

-15t² + 17t + 4

-15t² + (-3 + 20)t + 4

-15t² - 3t + 20t + 4

-3t(5t + 1) + 4(5t + 1)

(-3t+ 4) (5t + 1)

Thus,

The factored form is (-3t+ 4) (5t + 1)

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Answer:

put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle

For the ppl who can click on brainly:

Part A:

Like Cupcakes

Do Not Like Cupcakes

Total

Like Brownies

37

22

59

Do Not Like Brownies

35

6

41

Total

72

28

100

Part b: 6

Part c: You really have to figure out how to word this 37- 72=35 35-41=6

hope it helps

Answer:

the total number of arrangement is six

Step-by-step explanation:

Part (a) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A and B are next to each other.

Suppose A and B are together and form a group, then no. of groups are .

These groups can be arranged in

A and B can be arranged in .

Therefore, the possible no. of arrangements are .

Part (b) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A is before B.

Total no. of arrangements with six letters

The no. of arrangements in which A is before B

Therefore, the possible no. of arrangements are .

Part (c) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A is before B and B is before C.

Total no. of arrangements with six letters

A, B and C can be arranged in

Out of these 6 arrangements, there is only one arrangement in which A is before B and B is before C.

So, the possible no. of ways =

Therefore, the possible no. of arrangements are .

Part (d) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A is before B and C is before D.

The no. of arrangements in which A is before B

Out of these arrangements, half will be with C before D and half will be with D before C.

Therefore, the possible no. of arrangements are .

Part (e) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that A and B are next to each other and C and D are also next to each other.

If A and B form one group and C and D from another group then there are groups and these groups can be arranged in

A and B can be arranged in

Similarly, C and D can be arranged in

Therefore, the possible no. of arrangements are .

Part (f) Step 1. Find the no. of linear arrangements of the letters A, B, C, D, E, F such that E is not last in line.

The no. of arrangements in which the position of E is fixed at last

The no. of arrangements in which the position of E is not fixed

Therefore, the possible no. of arrangements are

Answer:

A dog needs 4/3 liters of water 2/5 of a day, Therefore

he'll need 4/3 liters for 5/2 day or

4/3 * 5/2 = 20/6 = 10/3 liters or 3 and 1/3 liters per day

Step-by-step explanation:

Given the indices expression shown below;

This can be simplified as:

This gives the resulting expression on expansion

Answer:

-6/4

Step-by-step explanation:

-6/4 can be divided by 2 on both the numerator and the denomanator so it simplifies to -3/2

Answer:

-6/4, -9/6, -12/8...

Step-by-step explanation:

Just multiply the numerator and denominator by any number to get a fraction equivalent to -3/2. Also, don't forget the negative sign (-).

Hope this helped.

Answer:

2x-3y<-9

Step-by-step explanation:

to find remaining rooms 91-52=39

turn into a fraction =39/91

answer=39/91

Answer:

y=0x-5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

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Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The unit rate for miles per gallon for each​ car will be 36.4 and 31. And the blue car can travel greater distances on 1 gallon of​ gasoline.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

You are running an efficiency study. One of the vehicles you find is blue. It can travel 45 ¹/₂ miles on 1 ¹/₄ gallon of fuel. Another vehicle is red. It can travel 24 ⁴/₅ on ⁴/₅ gallons of fuel.

The rate of blue cars is given as,

⇒ (45 ¹/₂) / (1 ¹/₄)

⇒ 45.5 / 1.25

⇒ 36.4 miles per gallon

The rate of red cars is given as,

⇒ (24 ⁴/₅) / (⁴/₅)

⇒ 24.8 / 0.8

⇒ 31 miles per hour

The unit rate for miles per gallon for each​ car will be 36.4 and 31. And the blue car can travel greater distances on 1 gallon of​ gasoline.

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Answer:Simplifying

(4a + 6b)(a + -1b) = 0

Multiply (4a + 6b) * (a + -1b)

(4a * (a + -1b) + 6b * (a + -1b)) = 0

((a * 4a + -1b * 4a) + 6b * (a + -1b)) = 0

Reorder the terms:

((-4ab + 4a2) + 6b * (a + -1b)) = 0

((-4ab + 4a2) + 6b * (a + -1b)) = 0

(-4ab + 4a2 + (a * 6b + -1b * 6b)) = 0

(-4ab + 4a2 + (6ab + -6b2)) = 0

Reorder the terms:

(-4ab + 6ab + 4a2 + -6b2) = 0

Combine like terms: -4ab + 6ab = 2ab

(2ab + 4a2 + -6b2) = 0

Solving

2ab + 4a2 + -6b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.

2(ab + 2a2 + -3b2) = 0

Factor a trinomial.

2((a + -1b)(2a + 3b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying

a + -1b = 0

Solving

a + -1b = 0

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.

a + -1b + b = 0 + b

Combine like terms: -1b + b = 0

a + 0 = 0 + b

a = 0 + b

Remove the zero:

a = b

Simplifying

a = b

Subproblem 2

Set the factor '(2a + 3b)' equal to zero and attempt to solve:

Simplifying

2a + 3b = 0

Solving

2a + 3b = 0

Move all terms containing a to the left, all other terms to the right.

Add '-3b' to each side of the equation.

2a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0

2a + 0 = 0 + -3b

2a = 0 + -3b

Remove the zero:

2a = -3b

Divide each side by '2'.

a = -1.5b

Simplifying

a = -1.5b

Solution

a = {b, -1.5b}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tuesday

Answer: Tuesday

Step-by-step explanation:

Second after Monday is Wednesday and then immediately is Thursday and second after Thursday is Saturday after which three days is Tuesday.

Answer:

d = sqrt(17)

Step-by-step explanation:

d = sqrt( x2 - x1)^2 + (y2 - y1)^2  )

d = sqrt( (4 - 5)^2 + (-3 - 1)^2 )

d = sqrt( (-1)^2 + (-4)^2  )

d = sqrt ( 1 + 16)

d = sqrt(17)

Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

Answer:

Step-by-step explanation:

21

Using the conversion factors, 454 grams of butter is used by the chef each day.

So, grams of butter used each day:

Then,

Therefore, using the conversion factors, 454 grams of butter is used by the chef each day.

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The correct question is given below:

A chef at a restaurant uses 19 pounds of butter each day. About how many grams of butter does the chef use each day? Use the conversion factors

The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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