U.S. Customary unit conversion with mixed number values: One...Charlie bought 5 feet of fabric. How much is this in yards?Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.0OlaDOinftyd목x 5?Please help

Answer:

Explanation:

The given triangle is a right angle triangle. The pythagorean theorem is expressed as

hypotenuse^2 = one leg^2 + other leg^2

From the diagram,

hypotenuse = AB = c

one leg = BC = 9

other leg = AC = 12

By applying the pythagorean theorem, we have

The missing length is 15 cm

Answer:

D. 1/4

Explanation:

When the coordinates of A, B, and C are multiplying by 1/4 we get A', B', and C'.

For example,

The same goes for B and C.

Hence, the transformation that gives us A'B'C' from ABC is Choice D DIlation using k = 1/4.

The equation can be represented by

y= 25 - 2.5x

by comaprison with y = mx + c

c = 25 ( note tha c means y-intercept)

This 25 represents the initial value of the gift card

The correct answer is option d

Explanation:

Concept:

To figure out if a graph is a function, we will use the vertical line test below

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

From the first graph we can see that the vertical line cuts the points at on intersection

The Second graph is given below as

Its has two intersections on both sides of the graph

The third graph is given below as

It has two intersections on the ride hand side of the graph

The Fourth graph ios given below as

Its has two intersection on the right hand side of the graph

In conclusion,

A graph is said to be a function if one value of x has a separate value of y

Therefore,

The final answer is

The FIRST OPTION is the correct answer

The equation of a line in slope-intercept form, is:

Where m represents the slope of the line (rate of change), and b represents the y-intercept of the line (initial value).

Since the rose grows 1.5 cm per day, then the rate of change is 1.5:

Since today the rose is 5cm high, then the initial value is 5:

Then, the height of the rose after x days is:

To find the height of the rose after 20 days, substitute x=20:

Then, the height of the rose after 20 days is 35 cm.

Given :

Two kinds of Beans :

1. Kidney Beans $1.18 per lb

The unit price = $1.18

2. O Lima Beans $213 for 2 lbs

The unit price = 2.13/2 = 1.065

Rounding to the nearest hundredth

So,

The unit

Assuming 25 % food cost and no additional costs to using the new stove, The time it will take the stove to pay for itself is 30 days.

Profits per meal = $20 - ( 0.25 x20)

Profits per meal = $20 -$5

Profits per meal = $15

Profits for 20 meals = $15 x 20

Profits for 20 meals =$300

Now let determine the number of days

Number of days =$9000 / $300 days

Number of days =30 days

Therefore we can conclude that 30 days is the days that it will take.

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The elements in the set (A u B)' are is {8,9,10,11,12,13}

The definitions of the sets and the elements are given as

The set to calculate is represented by the notation

(A u B)'

Start by calculating the set A u B

This means that we combine the sets A an B without repetition

So, we have

A u B = {1, 2, 3, 4, 5, 6, 7}

Next, we calculate (A u B)'

This represents the sets in U that are not in A u B

So we have

(A u B)' = {8,9,10,11,12,13}

Hence, the value of the set is {8,9,10,11,12,13}

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First, find the area of the trapezoid.

Area of a trapezoid = 0.5 ( sum of bases ) x height

bases = 15in, 8in

height = 8in

A 1 = 0.5 (15 + 8 ) x 8 = 92 in 2

Then, subtract the area of the rectangle:

Area of a rectangle = lenght x width

L = 5

W= 3

A2 = 5 x 3 = 15 in 2

Area of the shaded region = A1 - A2 = 92 - 15 = 77 in2

Answer

The equation that represents the direct variation relationship between y and x is

y = -12x

Explanation

We are told that y varies directly with x.

y = 48 when x = -4.

We are then told to write the equation that represents this direct variation relationship.

In mathematical terms, y varies directly with x is written as

y ∝ x

If we introduce a constant of variation, k, we can then write this relationship as

y = kx

To now fully write this relationship, we need to solve for k.

y = 48 when x = -4.

y = kx

48 = k × -4

48 = -4k

-4k = 48

Divide both sides by -4

(-4k/-4) = (48/-4)

k = -12

We can then put in the value of k obtained

y = kx

y = -12x

The equation given is

3y = 10x

Recall that variation is represented as

y ∝ x

And written as

y = kx

So, we can convert 3y = 10x into this form and establish the direct variation and obtain the value of k.

3y = 10x

Divide both sides by 3

(3y/3) = (10x/3)

y = (10x/3)

which is similar to y = kx

k = (10/3)

So, option A is correct.

Hope this Helps!!!

The rational number - 91 / 200 is a number between the decimal numbers - 0.45 and - 0.46.

In this problem we find two decimal numbers, of which we need to find a rational number between these numbers. Please notice that the decimal numbers are also rational numbers. First, we transform each decimal number into rational numbers:

- 0.45 = - 45 / 100

- 0.46 = - 46 / 100

Second, find a possible rational number between the two ends by the midpoint formula:

x = (1 / 2) · (- 45 / 100) + (1 / 2) · (- 46 / 100)

x = - 45 / 200 - 46 / 200

x = - 91 / 200

Then, the rational number - 91 / 200 is a number between - 0.45 and - 0.46.

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Given:

Completion of reading in fractions:

Since the denominators,

Therefore, Cooper has read the least amount.

The volume of a right rectangular prism is given by

From the given information, we know that

So, the volume is given by

which gives

Now, since the content weigh 0.18 pound per cubic foot and worth $7.18 per pound, the value of the container is given by,

Therefore, by rounding to the nearest cent, the answer is:

Explanation:

To find the value od 3-(-2), we will multiply the sign at the outer with the inner

Answer:

Quotient:

Remainder:

P(-2):

Step-by-step explanation:

Remember that the remainder theorem states that the remainder when a polynomial p(x) is divided by (x - a) is p(a).

To calculate the quotient, we'll do the synthetic division as following:

Step one:

Write down the first coefficient without changes

Step two:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Step 3:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Step 4:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Now, we will have completed the division and have obtained the following resulting coefficients:

Thus, we can conlcude that the quotient is:

And the remainder is 13, which is indeed P(-2)

Answer:

y=1/4x+1

Step-by-step explanation:

Answer:

m=1/4

Step-by-step explanation:

Got it correct

Since we are dealing with a right triangle, we can use the Pythagorean theorem, shown below

In our case, H=4, L_1=2, L_2=x; then,

Solving for x,

The answer is x=2sqrt(3)

Solution

Using triangle inequality

The triangle inequality states that the sum of the lengths of any two sides of a triangle is greater than the length of the remaining side.

The fence line is the longest size

100, 130 can't be the answer

280 can't be the answer be ause the triangle inequality says it should be less than the sum

Therefore, the correct answer is 220

Given:

Required: First four terms

The nth term of a geometric sequence :

Hence, we can obtain the next four terms by substituting

Given:

The little cheese 8 in $ 7.

The big cheese 10 in $ 9.

The cheese monster 12 in $ 12.

Required:

To find the ratio of little cheese, big cheese and cheese monster.

Explanation:

(1)

The crust to prize ratio for little cheese is,

(2)

The crust to prize ratio for big cheese is,

(3)

The crust to prize ratio for cheese monster cheese is,

(4)

The cheese monster is the best pizza for him.

Final Answer:

The crust to prize ratio for little cheese is = 0.875

The crust to prize ratio for big cheese is = 0.9

The crust to prize ratio for cheese monster cheese is = 1

The cheese monster is the best pizza for him.

Answer:

1310 cubic feet per minute

Explanation:

Let x represent the value in cubic feet per minute

Note that;

1 cubic meter per second = 2118.87997 cubic feet per minute

Given 0.618 cubic meter per second, to be able to solve for x, we'll go ahead and set the proportions as seen below;

Let's go ahead and cross-multiply;

TV Dimensions (Diagonal) Screen Width

46 inch TV 40.1 inches + Bezel

A TV's screen size is determined by measuring the panel diagonally from one corner to the other. The TV's bezels and other exterior surfaces are not included in this. There are numerous models in a certain size group.

A screen's size is often determined by the diagonal, or the distance between its opposite corners, which is typically measured in inches. To distinguish it from the "logical image size," which characterizes a screen's display resolution and is measured in pixels, it is also often referred to as the physical image size.

Start at the top-left corner and measure diagonally down to the bottom-right corner using a measuring tape. Do not include the bezel (the plastic, metal, or glass edge), if any, when measuring the screen alone.

because the units are too large to be offered by furlongs and fathoms. Since the United States does not use the metric system, while television was being invented, American engineers used the units they were most accustomed to.

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From the options given we will have that a perfect cube is:

So, 1 is the perfect cube.

To plot in the plane points with fraction number coordinates (x or y) you can rewrite the fractions as decimal numbers:

Then, you have the next coordinates;

(- 2.5, 2) and (1, -0.25)

And the next graph:

Use a line to link the points

S= (-4, 1 ]

1) Solving that compounded inequality

4x +6 > -10 and -8x+7 ≥ -1

2) Let's start by 4x +6 > -10

4x +6 > -10 Subtracting 6 from both sides

4x > -10-6

4x > -16 Dividing both sides by 4

x > -4

And with -8x+7 ≥ -1

-8x+7 ≥ -1 Subtract 7 from both sides

-8x ≥ -1 -7

-8x ≥ -8 Multiply by -1

8x ≤ 8

x ≤ 1

3) Graphing the solution interval:

So the solution is the interval S= (-4, 1 ] not including x= -4 and including the value x = 1

The solution of the composite function is as follows:

Composite functions are when the output of one function is used as the input of another.

In other words, a composite function is generally a function that is written inside another function.

Therefore,  the composite function can be solved as follows:

Therefore,

f(x) = x - 8

g(x) = 8x + 9

Hence,

(f + g)(x) = f(x) + g(x)  = x - 8 + 8x + 9 = 9x + 1

(f - g)(x) = f(x) - g(x)  = x - 8 - ( 8x + 9 ) = x - 8 - 8x - 9 = -7x - 17

(f. g)(x) = f(x) . g(x) = (x - 8)(8x + 9) = 8x² + 9x - 64x - 72 = 8x² - 55x - 72

(f / g)(x) = f(x) / g(x) = x - 8 / 8x + 9

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12

14

36 blocks

56 blocks

108 blocks

The length of section 1 = 8

The length increases by 2 uits as the section increases

Section 2 length of block = length of section 1 + 2 =

= 8 + 2

length of block = 10

Section 3 length of block = length of section 2 + 2

= 10 + 2

length of block = 12

Section 4 length of block = length of section 3 + 2

= 12 + 2

length of section = 14

Number of blocks needed:

if the blocks are counted,

For section 1 there are 6 rows . So we count the total number of blocks on each of them

= 4 + 4 + 6 + 6 + 8 + 8

Section 1 = 36 blocks

For section 2, we count the number of blocks on each row

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10

section 2 = 56 blocks

For sectoion 3: The length and width increases by 2 respectively

previous length + 2 = 10 + 2 = 12

Due to the increase we would have two length of 12

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 = 80

Already given = 80

For section 4: The length and width increases by 2 respectively

previous length + 2 = 12 + 2 = 14

The increase causes an addition of two length of 14 blocks

Total blocks = 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 + 14 + 14

Total blocks for Section 4 = 108

GH = 18

From the diagram:

DF = 9x + 0

GH = 50 - 8x

Since G is a midpoint of DE and H is a midpoint of EF, using the midpoint theorem:

DF = 2GH

9x + 0 = 2 (50 - 8x)

9x = 100 - 16x

9x + 16x = 100

25x = 100

x = 100/25

x = 4

Substituting the value of x into GH = 50 - 8x

GH = 50 - 8(4)

GH = 50 - 32

GH = 18