A 13 -ounce package of pistachios cost $5.99. Find unit rate

Answer:

Im unsure what your asking but the answer is 6 1/2 in fraction form and 6.5 in decimal form :/

Step-by-step explanation:

math

When 117 is divided by 18 we get 117/18 in fraction form.

To divide 117 by 18, we perform long division.

We start with the first digit of the dividend (1) and divide it by the divisor (18).

Since 18 is larger than 1, the quotient for this step is 0.

We then bring down the next digit (1) and place it next to the previous result.

Again, since 18 is larger than 11, the quotient for this step is 0.

Therefore, the result of dividing 117 by 18 is 0 with a remainder of 117.

In fraction form, this can be expressed as 117/18.

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The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

4896 sq units

Step-by-step explanation:

A = lw

multiply 48 to 102

Answer:

1, 4, 9, 16, 25, 36, 49, 64, 81, and 100

Step-by-step explanation:

Let's pretend that the locker number is represented as a Binary (meaning it's either open or closed).

Looking at this, we can see that each locker is only acted upon if the student number is a factor of it. This is why the 3rd person changes the state of every 3 lockers, the 4th student changes the state of every 4 lockers, etc.

The factors of a number are the numbers that the original number is evenly divisible by. When we divide these, we also receive a factor. With this information, we can conclude that unless one of the factors is the square root of the number, then the "second divided by" factor is itself. For every other number, there will be a "second divided by" factor, so an even number of them. Because an even number + 1 = odd number, then only perfect squares will have an odd number of factors.

Hope this helped!

Answer:

The open lockers are:

1,4,9,16,25,36,49,64,81,100

Step-by-step explanation:

Note that locker 1 is opened by only the first student. So it stays open throughout.

Locker 2 is first opened by student 1, then closed by student 2. Other students don't touch it. So it stays closed.

Locker 3 is first opened by student 1, then closed by student 3. Other students don't touch it. So it stays closed.

Since 4 is a multiple of 1, 2, and 4, it is changed by the 1st, 2nd, and 4th students. Since there is an odd number (3) of changes, locker 4 stays open.

Observe that a locker at position n is opened by students with factors of n.

Every number can be written as the product of a pair of distinct numbers except perfect squares. For example, 6 can be written as 1 × 6 and 2 × 3. Hence, it has 4 factors, which means it is touched an even number of times, making it stay locked.

A number like 9 is written as 1 × 9 and 3 × 3. Hence, it has 3 factors, which is odd, making it stay open.

Since the perfect squares from 1 to 100 are 1,4,9,16,25,36,49,64,81,100, then the open lockers are:

1,4,9,16,25,36,49,64,81,100

The given cumulative area is 0.94,

Using technology:

Excel Function

Hence, the answer is

Answer:

check the first two and the last one

Step-by-step explanation:

you use multiplying/dividing and adding/subtraction to get the answer

10x+45x-13 = 11(5x+6)

55x-13 = 11(5x+6) combine like terms

55x-13 = 55x+66 distribute the 11 to the 5x and 6

-13 = 66 cancel out equal terms on both sides

the statement is false meaning there is equation has no solution

Answer:

check the first two and the last one

Step-by-step explanation:

Answer:

76 unit^2

Step-by-step explanation:

Total area: (0.5  * base * height) +( length * breadth ) + (0.5 * base * height)

= (0.5 * 8 * 2) + ( 7*8) +( 0.5 * 8 * 3) = 8 + 56 + 12 = 76

Answer: 3 / 5

Step-by-step explanation:

Given the following :

Number of cards = 10

Half of the cards are red :

Number of red cards = 10 /2 = 5 cards

P(card numbered 3) = 2 /10

Number of Cards that is both red and numbered 3 = 1

Number of cards numbered 3 :

Probability = required outcome / Total possible outcomes

P(card numbered 3) = required outcome / Total possible outcomes

1/5 = required outcome / 10

Required outcome = (1/5) × 10 = 2 cards

Probability that card is either red or numbered 3:

Number of red cards and not numbered 3 = 5 - 1 = 4

Number of cards number three and not red = 2 - 1 = 1

Number of cards numbered 3 and red = 1

= (4 + 1 + 1) = 6 cards

P(either red or numbered 3):

= 6 / 10

= 3 / 5

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Alice spent $227.88 on 12 shirts

Step-by-step explanation:

Answer:

Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88

Step-by-step explanation:

Answer:

\(\frac{q - r}{m- n} = \frac{p - s}{m - n}\)

Step-by-step explanation:

Given

See attachment for parallelogram

Required

Proof that ABCD is a parallelogram

We know that opposite sides are equal and parallel.

First, we calculate the slope of BC

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

So, we have:

\(m = \frac{q - r}{m- n}\)

Next, the slope of AD using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

So, we have:

\(m = \frac{p - s}{m - n}\)

For ABCD to be a parallelogram; then:

\(\frac{q - r}{m- n} = \frac{p - s}{m - n}\)

Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Answer:

Sure, I'd be happy to help you with that!

To calculate Dan's earnings with simple interest, we can use the following formula:

I = P * r * t

where:

I = interest earned

P = principal amount (initial investment)

r = interest rate (as a decimal)

t = time period (in years)

We know that Dan invests £2500 and receives 5% simple interest per year, so:

P = £2500

r = 0.05

t = 2 years

Plugging these values into the formula, we get:

I = £2500 * 0.05 * 2

I = £250

This means that Dan will earn £250 in interest over the 2-year period.

To calculate Dan's total earnings, we simply add the interest earned to the initial investment:

Total earnings = £2500 + £250

Total earnings = £2750

Therefore, Dan will have £2750 in his bank account after 2 years.

Answer:

x = -5.5 or -5 1/2

Step-by-step explanation:

Answer:

System 1 has an infinite number of solutions and System 11 has no solution.

Step-by-step explanation:

System 1:

x = y - 3

x - y = -3

2x - 2y = -6

Divide above by 2:

x - y = -3

So the 2 equations are identical

and they have an infinite number of solutions.

System 11:

5x + 2y = -7

15x + 6y = 21

Divide the above by 3:

5x + 2y = 7

Comparing this to the first equation the left sides are the same but right sides are different ( -7 and  7)/

There is no solution to this system.

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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Answer:

The graph shows a distribution of data.

A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.

What is the standard deviation of the data?

0.5 <<<------- CORRECT ANSWER

1.5

2.0

2.5

Step-by-step explanation:

EDGE 2021

The standard deviation of the data is,

σ = 0.5

An expression which is defined as the collection of the numbers,  variables and functions by using sign like addition, subtraction, multiplication, and division is called mathematical expression.

Now,

We have in the graph, there is bell-shaped along x =2.

Here, A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.

Since, The graph is symmetric around x = 2,

Hence, the mean of the data is 2.

And, The point immediate left to the mean represented by x - σ

Hence, We get;

2 - σ = 1.5

So,

σ = 0.5

Thus, The sigma represents standard deviation.

σ = 0.5

Hence, Option A is correct.

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Using proportions, they must win 22 games to maintain to the ratio of wins to losses.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the next 28 games, we have that:

To keep the same proportion, we have that:

\(\frac{33}{42} = \frac{33 + x}{70}\)

Applying cross multiplication:

42(33 + x) = 33 x 70

Simplifying by 14:

3(33 + x) = 33 x 5

3x = 33 x 5 - 33 x 3

3x = 33 x 2

3x = 66

x = 66/3

x = 22.

They must win 22 games to maintain to the ratio of wins to losses.

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The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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Answer:

x= -27

Step-by-step explanation:

multiply by -9 on both sides

x/-9=3

x-9    x-9

x= -27

Answer:

and "Bumps"

Purplemath

Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.

I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".

For instance, the following graph has three bumps, as indicated by the arrows:

y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0

The cars are getting 219.317 meters (farther or closer) at 0.332 seconds.

In a right angled triangle the square on the hypothenus side is equall to the sum of the squares on the other two sides

.a triangle is a three sided polygon that is square + 150 square25600 + 22500   = 48100therefore the square root of 48100 is 219.317divide this by 60 minutes to get 0.332.

In conclusion they are 219.317 farther of closer to each other in 0.332 seconds

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9514 1404 393

Answer:

Step-by-step explanation:

Let d, v, h represent the costs of dental, vision, and health insurance, respectively. The cost relations are ...

  d = 3v . . . . . . . . . . . . . . . dental is 3 times vision

  h = 3(v +d) . . . . . . . . . . . health is 3 times vision and dental combined

  d + v + h = 9360 . . . . . annual premium

Substituting for h, we have ...

  d + v + (3(d +v)) = 9360

Substituting for d, we have ...

  3v +v +3(3v +v) = 9360

  16v = 9360

  v = 585

  d = 3v = 1755

  h = 3(d+v) = 7020

These are the total annual premiums. Linda pays 1/26 of 60% of this every two weeks. That fraction is 0.60/26 = 3/130.

a) Linda's biweekly vision insurance deduction is (585)(3/130) = $13.50

b) Linda's biweekly dental insurance deduction is (1755)(3/130) = $40.50

c) Linda's biweekly health insurance deduction is (7020)(3/130) = $162.00

_____

Additional comment

We know dental is 3v and health is 3(3v+v) = 12v = 4d. That is, once we find Linda's share of the biweekly vision premium, we can find the others by multiplying it by a suitable factor.

Using translation concepts, the correct statement is given by:

If function f was translated down 4 units, the f(x) values would be subtracted by 4. A point in the table for the transformed function would be (1,9).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

A translation down 4 units means that the output values are subtracted by 4, hence the table would be given by:

x    1  2  3   4    5

f(x) 9 15 33 87 249

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Answer:

The CORRECT answer is:

1. f(x)

2. decreased by 4

3. (4, 87)

Step-by-step explanation:

Took the test

The probability of a random student who is from Washington and studies history is \(\frac{5}{33}\).

Probability is the chance of happening an incident or event. A probability is calculated by the ratio of the possible outcomes to total number of outcomes.

Given, the total number of students of History

= (30 + 17 + 20 + 32 + 33) = 132

The number of students from Washington who studies history = 20.

Therefore, the probability that the student is from the state of Washington under the condition that the student studies history is = \(\frac{20}{132} = \frac{5}{33}\) .

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Answer:

x ≈ 30.5°

Step-by-step explanation:

using the sine ratio in the right triangle

sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{VW}{UW}\) = \(\frac{3.4}{6.7}\) , then

x = \(sin^{-1}\) ( \(\frac{3.4}{6.7}\) ) ≈ 30.5° ( to the nearest tenth )

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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Answer:

4(b+3)

Step-by-step explanation:

can't really explain it sorry