You pay $1.56 for 4 pounds of bananas. Write and solve an equation to find out how much it costs for 1 pound of bananas.

Answer:

I am assuming these are the legs of a right triangle, in which the answer is 29

Step-by-step explanation:

Answer:

y-1=7(x+4)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=7(x-(-4))

y-1=7(x+4)

The price of a cutter is $2.50 and the price of a glue stick is $1.50.

Let's assume that the price of a cutter is x dollars and the price of a glue stick is y dollars.

We can set up two equations based on the information given in the problem:

4x + 2y = 13 (equation 1)

7x + 5y = 25 (equation 2)

To solve for x and y, we can use the method of elimination or substitution. Let's use the method of substitution:

From equation 1, we can solve for y in terms of x:

2y = 13 - 4x

y = (13 - 4x)/2

Substitute this expression for y into equation 2:

7x + 5((13 - 4x)/2) = 25

Simplify and solve for x:

7x + (65 - 20x)/2 = 25

14x + 65 - 20x = 50

-6x = -15

x = 2.5

So the price of a cutter is $2.50.

To find the price of a glue stick, we can substitute x = 2.5 into equation 1 and solve for y:

4(2.5) + 2y = 13

10 + 2y = 13

2y = 3

y = 1.5

So the price of a glue stick is $1.50.

Therefore, the price of a cutter is $2.50 and the price of a glue stick is $1.50.

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B-trees are balanced search trees commonly used in computer science to efficiently store and retrieve large amounts of data. They are particularly useful in scenarios where the data is stored on disk or other secondary storage devices.

A B-tree node consists of keys and pointers. The keys are used for sorting and searching the data, while the pointers point to the child nodes or leaf nodes.

Now let's answer your questions about the minimum number of keys and pointers in B-tree interior nodes and leaves, based on the given block sizes.

a. When n = 10 (block holds 10 keys and 11 pointers):

i. Interior nodes: The number of interior nodes is always one less than the number of pointers. So in this case, the minimum number of keys in interior nodes would be 10 - 1 = 9.

ii. Leaves: In a B-tree, all leaf nodes have the same depth, and they are typically filled to a certain minimum level. The minimum number of keys in leaf nodes is determined by the minimum fill level. Since a block holds 10 keys, the minimum fill level would be half of that, which is 5. Therefore, the minimum number of keys in leaf nodes would be 5.

b. When n = 11 (block holds 11 keys and 12 pointers):

i. Interior nodes: Similar to the previous case, the number of keys in interior nodes would be 11 - 1 = 10.

ii. Leaves: Following the same logic as before, the minimum fill level for leaf nodes would be half of the block size, which is 5. Therefore, the minimum number of keys in leaf nodes would be 5.

To summarize:

When n = 10, the minimum number of keys in interior nodes is 9, and the minimum number of keys in leaf nodes is 5.

When n = 11, the minimum number of keys in interior nodes is 10, and the minimum number of keys in leaf nodes is also 5.

It's important to note that these values represent the minimum requirements for B-trees based on the given block sizes. In practice, B-trees can have more keys and pointers depending on the actual data being stored and the desired performance characteristics. The specific implementation details may vary, but the general principles behind B-trees remain the same.

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Given Data:

The time taken to compleat one yard is: 1 hour.

The expression to calculate the total yard made in 1/4 hour is,

Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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Answer:

u didnt even send an attachment

Step-by-step explanation:

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Divide 8 by 2/3

8÷ 2/3

8× 3/2

12

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

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Answer:

16

Step-by-step explanation:

16 x 5 = 80

∠ABC = ∠ADC

Here, we want to state an additional piece of information that would make triangle BAC and DAC confgruent by SAS

When we say they both are congruent by SAS, we mean they are congruent by side, angle and side.

From the diagram of the question, we already have two marked sides, with oe on either triangle. We also have the side C being a part of both triangles. So what we need now is the angle that will complete the SAS notation.

The angle in this case is ∠ABC = ∠ADC

Based on the pattern or sequence, it can be concluded that the missing letter is K.

To understand the principle or fule the sequence follows, let's analyze the letters given:

A - C - E

These letters show the sequence follows the alphabet order but one of the letters is omitted. In the first case, the letter omitted is B and in the second case, the letter omitted is E. Based on this, the missing letter should be K.

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Answer:

A.

Step-by-step explanation:

Answer:

8/21

9/10

6/19

that cuz they are already in their simplest from or

The correct statement is "only a and c are correct"  so option g is the answer.

The statement that is true in a normal distribution is "approximately 70% of the values are within one standard deviation from the mean" (a), and "2.1% of the values are between -2 and -3 standard deviations from the mean" (c).

These statements are true because of the properties of a normal distribution, also known as a Gaussian distribution or bell curve. In a normal distribution, the majority of values cluster around the mean, with fewer and fewer values as you move further away from the mean.

The statement "twenty-seven percent of the values are between one and two standard deviations from the mean" (b) is not true, as the correct percentage is approximately 27.7% (68-95-99.7 rule).

The statement "0.1% of the values are 3 or higher standard deviations from the mean" (d) is also not true, as the correct percentage is approximately 0.3%.

Therefore, the correct statement is "only a and c are correct".

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If a hospital medical unit has 50 beds and the unit provided 1,420 days of service, the average daily census for the medical unit in May is 28.4.

To find the average daily census for a medical unit in May, we divide the total number of days of service provided by the number of beds in the unit. Here's how we do it:

According to the question, Total number of beds = 50 and Total number of days of service = 1,420

Average daily census = Total number of days of service / Total number of beds

Average daily census = 1,420/50

Average daily census = 28.4

Therefore, the average daily census for the medical unit in May is 28.4.

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Alex has five cups of strawberries and wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Alex has enough strawberries to make both recipes.

To check if Alex has enough strawberries, we add the amount of strawberries needed for the fruit salad (1 3/4 cups) and the amount needed for the jam (3 1/2 cups)

1 3/4 cups + 3 1/5 cups

= 1 + 3/4 + 3 + 1/5

Multiplying 3/4 with 5/5 and 1/5 with 4/4 to make denominator equal

= 1 + 15/20 + 3 + 4/20

= 4 + 19/20

= 4 19/20 cups

4 19/20 is less than 5 cups. So Alex has enough strawberries for both recipes.

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Answer:

9.6 inches

Step-by-step explanation:

cos 50 =(1/2 base) / side      base =12

cos 50 = 6 / side

0.6248 = 6 / side

side=6 / (0.6248)=9.6 inches

Answer:

9 (A)

Step-by-step explanation:

9 makes the denominator 0, which cannot be possible in a fraction.

Answer:

-70

Step-by-step explanation:

just use a calculator my g

Answer-70

Step-by-step explanation:

-100 plus 50 = -50 then you add -20 making it -70

Option 2. The equation of the parabola is given as y = one eighthx² + 5

We have the coordinate plane to be passing through the graph at point C on the y axis. This is used to represent the slope.

Hence the slope is 5

The equation of the line is given as  y=x²+C

Hence we can see that there is a rising slope. So the answer is Option 2.

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Answer:

3.7

Step-by-step explanation:

Hypotenuse is 5

Adjacent is unknown x

Cos 42 = adjacent / hypotenuse

Co's 42 = x/ 5

0.74 = x/5

Multiply both sides by 5

3.7 = x

Answer:

x = 1

Step-by-step explanation:

Step 1: Define

h(x) = 3x + 1

h(x) = 4

Step 2: Substitute and Evaluate

4 = 3x + 1

3 = 3x

x = 1

Answer:

check explanation

Step-by-step explanation:

so you must find the missing leg. pythagorean theorem is a^2 + b^2 = c

find C and that number, use to find the area of the triangle.

to find area of a triangle, you use this formula- area=1/2bh

Answer:

28 and 12t

Step-by-step explanation:

4 x 7

4 x 3t

Answer:

28+12t

Step-by-step explanation:

Simplify the expression :)

btw you spelled please wrong

For task 1, you need to find the sum of each pair of radicals, subtract the first radical from the second radical, and then find the product of each pair of radicals by dividing the second radical by the first. For example:

let a = 5, b = 10

let sumRadicals = a + b // 15

let differenceRadicals = b - a // 5

let productRadicals = differenceRadicals / a // 1

To further develop this topic, you can explore how to use radicals to simplify expressions, such as removing perfect squares from inside radical expressions and rationalizing denominators. You can also look into how to multiply and divide radical expressions, as well as examples of more complex equations involving radicals.

Additionally, you can look into how to use the properties of radicals, such as the first and second properties, to simplify radical equations.

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Points 1 and 3 are centers of dilation supporting Ayako's claim, as they lie on line n. Point 2 is not a center of dilation that supports the claim.



To determine whether each point represents a center of dilation that supports Ayako's claim, we need to understand the properties of dilation. Dilation is a transformation that changes the size of an object without altering its shape. The center of dilation is the fixed point about which the dilation occurs, and the scale factor determines the amount of change in size.

For a dilation of line n by a factor of 1.5 to leave line n unchanged, the center of dilation must lie on line n.

Let's evaluate each point:

1. Yes: If a point lies on line n, it can be a center of dilation that supports Ayako's claim.

2. No: If a point is not on line n, it cannot be a center of dilation that supports Ayako's claim.

3. Yes: If a point lies on line n, it can be a center of dilation that supports Ayako's claim.

In summary, point 1 and point 3 represent centers of dilation that support Ayako's claim, while point 2 does not. The center of dilation must be on line n to leave the line unchanged when dilated by a factor of 1.5.

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The cost of four and three-fourths pounds of beef is $18.95.

Given,

Amount of beef purchased = 4 and 3/4th  pounds.

Cost of beef per pound = $3.99

We need to find how much four and three-fourths pounds of beef cost.

Find the cost of 1 pound of beef.

1 pound = $3.99

We can write four and three-fourths as:

= 4 3/4

= 19/4

Find the cost of 19/4 pounds of beef.

1 pound = $3.99

Multiplying by 19/4 on both sides.

19/4  x 1 pound = 19/4 x $3.99

19/4 pounds =$18.95

Thus the cost of four and three-fourths pounds of beef is $18.95.

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