Graham wrote the system of equations.

6x−8y=−16y=34x+8


What is true about the system of equations that Graham wrote?
A
It has no solution.

B
It has 1 solution.

C
It has 2 solutions.

D
It has infinitely many solutions.

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer: 176 miles

First, multiply the fraction 44/100 by 400. After cross simplifying, you should get 176. 44% is nothing but 44 out of 100, which is why we multiplied by 44/100

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

Step-by-step explanation:

Probability = expected outcome/total outcome

If a bag contains 3 red balls, 8 blue balls and 11 white balls, then the total outcome will be;

Total outcome = 3 + 8 + 11 = 22 balls

Since we are drawing two balls with replacement;

Probability of drawing red ball = number of red/total outcome = 3/22

Probability of drawing white ball = number of while/total outcome = 11/22 = 1/2

Probability of drawing red first and then white = 3/22 * 1/2

Probability of drawing red first and then white  = 3/44

To the nearest tenth, 3/44= 0.1

In percent = 6.8%

Answer:

((1+2)x3) + (4x5) = 29

Step-by-step explanation:

Since 4x5 = 20 and 3x3 = 9, and 9 + 20 = 29, we put parenthesis around 1+2,

we get,

((1+2)x3) + (4x5) = 29

This is true because,

(3x3) + (4x5) = 29

(9) + (20) = 29

29 = 29

Answer:

A. (-2, 6)

Step-by-step explanation:

To put the equation of this line in slope intercept form;

1/2y = -x + 1

Multiplying by 2 on both sides gives;

y = -2x + 2

Checking option (A);

6 = -2(-2) + 2

6 = 4 + 2 = 6

∴ This option is a solution.

Checking option (B);

2 = -2(-6) + 2

2 ≠ 14

∴ This option is not a solution.

Checking option (C);

-6 = -2(-2) + 2

-6 ≠ 6

∴ This option is not a solution.

Checking option (D);

-6 = -2(2) + 2

-6 ≠ -2

∴ This option is not a solution.

Answer:

I think it is 47. iuuuududhrururkejrjri

Answer: The value represented by the digit 6 is 100 times greater.

Step-by-step explanation: The digit 6 in the number 84,362 is in the tens place, whereas the digit 6 in the number 6,419 is in the thousandths place. One thousand is equal to 10 x 100, meaning that the value is 100 times greater. Hope this helps and have a great day!

The value of digit 6 in 6419 is 100 times greater than the value of the digit 6 in 84362.

Place value describes the position or place of a digit in a number. Each digit has a place in a number.

When we represent the number in general form, the position of each digit will be expanded.

Those positions start from a unit place, or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

Given that are two numbers 6419 and 84362, we need to determine that the value digit 6 in 6419 is how much times greater than the value of the digit 6 in 84362.

So, the expanded form of the numbers =

6419 = 6000 + 400 + 10 + 9

84362 = 80000 + 4000 + 300 + 60 + 2

Place values of 6 in each =

In 84362 = 60

In 6419 = 6000

∴ 6000 / 60 = 100

Hence, the value of digit 6 in 6419 is 100 times greater than the value of the digit 6 in 84362.

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Answer:

  C.  no solution

Step-by-step explanation:

You want to know the solution to the system of equations ...

Equations are best examined for the possible number of solutions when they are written in the same form. Here, we can put both equations into slope-intercept (y=) form by multiplying the second equation by -1.

  -y = -x + 11 . . . . . . . .second equation

  y = x - 11 . . . . . . . . equivalent equation; multiplied by -1

Now, you see that these slope-intercept equations have the same slope (x-coefficient = 1), but different intercepts (11, -11).

Lines with the same slope and different intercepts are parallel lines. They never meet, so never have any points in common. There are no values of x and y that satisfy both equations at the same time.

There are no solutions.

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The z-score of a person who scored 330 on the exam is approximately 2.7.

To find the z-score of a person who scored 330 on the exam, we can use the formula for calculating the z-score:

z = (x - μ) / σ

where:

z is the z-score

x is the raw score (330 in this case)

μ is the mean (195 in this case)

σ is the standard deviation (50 in this case)

Substituting the values into the formula, we get:

z = (330 - 195) / 50

z = 135 / 50

z = 2.7

The z-score of a person who scored 330 on the exam is 2.7.

The z-score measures the number of standard deviations a particular data point is away from the mean.

In this case, a z-score of 2.7 indicates that the person's score of 330 is 2.7 standard deviations above the mean score of 195.

The z-score is useful for comparing data points across different normal distributions or for determining the relative position of a data point within a distribution.

A positive z-score indicates a value above the mean, while a negative z-score indicates a value below the mean.

In this context, a z-score of 2.7 suggests that the person's score is relatively high compared to the average performance on the exam.

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Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

The total surface area of the tomato ketchup given in the diagram can be determined as follows:

The total surface area of a shape is the addition of the areas of its individual surface.

So that the questions can be answered as thus:

A. To find the area of the given circle;

i. Area of a circle = \(\pi r^{2}\)

where r is the radius of the circle.

area of the circle = π\((2.5)^{2}\)

                            = 6.25\(\pi\)

ii. There are two identical circles in the cylinder.

iii. The total area of all circles = 2(6.25\(\pi\))

                                                 = 12.5\(\pi\) square inches

B. To find the area of the rectangle;

i. one side of the rectangle is 5 inches.

ii. The other side of the rectangle = 2\(\pi\)r

                                     = 2(2.5)\(\pi\)

                                     = 5\(\pi\) inches

iii. The area of the rectangle = l x b

                             = 5\(\pi\) x 5

                             = 25\(\pi\) square inches

C. Total surfce area of the cylinder = 5\(\pi\) + 25\(\pi\)

                                         = 30\(\pi\) square inches

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Answer:

Step-by-step explanation:

First box

6.25

2

12.5

------

Second box

------

5

5

25

------

Last box

------

37.5

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Answer:

The possible outcomes are 1728.

Step-by-step explanation:

Consider the provided information.

We know that there are 12 months in a year and we have 3 people in a room.

As the order is important it means for each person we have 12 choices of the months.

The possible outcomes are: \(12\times12\times12=1728\)

Hence, the possible outcomes are 1728.

Answer:

what is the determinant of human value

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

The function f(x) = -|x| − 3 can be graphed by following these steps:

Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

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Answer:

0.2325

Step-by-step:

2.78/12 = 0.2325

Answer:

66 or 66° if you need a degree symbol

Step-by-step explanation:

For same-side interior angle, both angles add up to 180°

WHY

If you notice x° side is equivalent to the same-side exterior or another angle that's next to 114°. 114° is also equivalent to the another angle beside x°. This is because m || n or line m is parallel to line n.

Hence, forming a supplementary that adds up to 180°.

___

Applying a theorem, we get:

114°+x°=180°

Subtract both sides by 114°

114°+x°-114°=180°-114°

x=66°

Therefore x=66° or x = 66 if not included the degree symbol.

Answer:

a=50

b=120

Step-by-step explanation:

a)180-70-60=50

b)180-60=120

Step-by-step explanation:

b = 180 -60 = 120 degree

the triangle angles sum = 180

180= 60 + 70 + a

a = 50

Answer:

A

Step-by-step explanation:

The common denominator for the fractions 3/5 and 4/9 is 45

The smallest number or quantity that is exactly divisible by each member of a set of numbers is called LCM.

Given two fractions, 3/5 and 4/9

The LCM of the denominators 5 and 9 is 45.

Hence, the common denominator for the fractions 3/5 and 4/9 is 45

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Answer:

The population decreases by 140 in the next year.

Step-by-step explanation:

The increase that has no overall change in population cannot change the original amount of people there in the first place. If the population decreases by 140 in the next year, then there is no net gain or loss.

If a chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 95% pure antifreeze. The number of  gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.

Let call x = The amount of 20% pure antifreeze needed

Let  140 - x = amount of 95% antifreeze needed

Hence,

x gallons of 20% antifreeze + (140-x) gallons of 95% = 140 gallons of 65%

Thus,

.20x + .95(140-x) = .65(140)

.20x + 133 - .95x = 91

Collect like terms

42= .75x

Divide both side by .75x

x=42/.75

x=56

Hence,

56 gallons of 20% antifreeze

84 gallons of 95% antifreeze

Therefore the number of  gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.

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Answer:

, , , , and  

The general solution is  

The error in the approximations to y(0.2), y(0.6), and y(1):

Step-by-step explanation:

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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Answer:

Pythagorean triple (PT) can be defined as a set of three positive whole numbers that perfectly satisfy the Pythagorean theorem: a2 + b2 = c2.

theorem: a2 + b2 = c2.

This set of numbers are usually the three side lengths of a right triangle. Pythagorean triples are represented as: (a, b, c), where, a = one leg; b = another leg; and c = hypotenuse.

There are two types of Pythagorean triples:

Primitive Pythagorean triples

Non-primitive Pythagorean triples

Primitive Pythagorean triples

A primitive Pythagorean triple is a reduced set of the positive values of a, b, and c with a common factor other than 1. This type of triple is always composed of one even number and two odd numbers.

For example, (3, 4, 5) and (5, 12, 13) are examples of primitive Pythagorean triples because each set has a common factor of 1 and also satisfies the

Step-by-step explanation:

Pythagorean theorem: a2 + b2 = c2.

(3, 4, 5) → GCF =1

a2 + b2 = c2

32 + 42 = 52

9 + 16 = 25

25 = 25

(5, 12, 13) → GCF = 1

a2 + b2 = c2

52 + 122 = 132

25 + 144 = 169

169 = 169.

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