A bottle of juice costs 9.40. If the price of the juice increased by 15%, what is
the new price of the juice after the increase?

Answer:

x = 21

General Formulas and Concepts:

Geometry

Step-by-step explanation:

Step 1: Identify

We see that the measures given are Corresponding Angles

Step 2: Solve for x

Step-by-step explanation:

Using triangle ratios:

x is to 20  as   21 is to 29

x/20 = 21/29       x = 20 *  21/29 = 14.5 units

OR

x is to 21 as 20 is to 29

x/21 = 20 / 29      x =  21 * 20/29  = 14.5 units

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.

Check the picture below.

Answer:

D. The 7 in the thousands place is one hundredth the size of the 7 in the ten thousands place.

Step-by-step explanation:

The 7 in the thousands place is ten times greater than the 7 in the ten thousands place.

The relationship between the 7 in the thousands place and the 7 in the ten thousands place can be understood by their positions within the number. In a multi-digit number, each digit has a place value based on its position. The place value of a digit determines its worth. For example, the 7 in the thousands place is ten times greater than the 7 in the hundreds place, and the 7 in the ten thousands place is ten times greater than the 7 in the thousands place. Therefore, the 7 in the thousands place is ten times greater than the 7 in the ten thousands place.

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Each points can be determine as the ordered pair (x, y) with inequalities;

W  ⇒  x ≥ 5 and y < -1

X  ⇒   x ≥ 5 and y > 1

Y  ⇒   x < -5 and y ≥ 5

Z  ⇒   x < -1 and y < -4

A chart in x-y hub plot is a visual portrayal of numerical capabilities or data of interest on a Cartesian direction framework. The horizontal, or independent, variable is represented by the x-axis, while the vertical, or dependent, variable is represented by the y-axis. To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.

According to the graph each points can be determine with inequalities;

W = (5, -2) ⇒  x ≥ 5 and y < -1

X = (5, 2) ⇒    x ≥ 5 and y > 1

Y = (-6, 5) ⇒   x < -5 and y ≥ 5

Z = (-2, -5) ⇒  x < -1 and y < -4

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Four triangles would be formed by drawing all the diagonals from a single vertex of a hexagon.

When all the diagonals are drawn from a single vertex of a polygon, the number of triangles formed depends on the number of sides of the polygon. To calculate the number of triangles, we need to use the formula:

number of triangles = (number of sides - 2)

For example, if we have a pentagon (a polygon with five sides), the number of triangles formed from a single vertex would be:

number of triangles = (5 - 2) = 3

So, three triangles would be formed by drawing all the diagonals from a single vertex of a pentagon.

Similarly, for a hexagon (a polygon with six sides), the number of triangles formed would be:

number of triangles = (6 - 2) = 4

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Answer:

A) x=12

Step-by-step explanation:

Total of markers in her bag is: 8+4+1+12=25.

The chanse that she can pull out green marker is  [tex]\frac{4}{25}[/tex].

[tex]\frac{4}{25} *75=4*3=12[/tex]

Answer:

We can simplify the expression as follows:

- First, we can simplify inside the parenthesis: 12 - 3 + 6x = 9 + 6x.

- Next, we can substitute this simplified expression back into the original expression:

-1/3(9 + 6x) = -3 - 2x, distributing the -1/3 through.

Therefore, -1/3(12-3+6x) is equivalent to -3-2x.

Answer:

The answer would be 9,210

The area of a semicircle with radius r is given by the formula A = (πr^2)/2.

Substituting r = 98cm, we get:

A = (π(98cm)^2)/2

A = 4,801.089 cm^2 (using π = 3.14159265)

Rounding to 1 decimal place we get 4,801.1 cm^2.

Therefore the area of semi-circle rounding to 1 decimal point is

4,801.1 cm^2.

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Answer:

The letter t occurs more than 26 times on approximately 420 of these pages.

Step-by-step explanation:

1 standard deviation below mean = M - SD

                                                      = 44 - 18 = 26

This implies that that "26" is 1 s.d. below the mean, which is at the 16th percentile.

Thus,  there is a 0.16 chance that "t" will occur less than 26 times on any single page.

consequently, there is a 0.84 chance that it will occur more than 26 times on any single page.

The probability that at least one calculator will be defective is 0.7305.

The probability that at least one of the calculators is defective can be calculated using the formula:

P(at least one defective calculator) = 1 - P(no defective calculator)

The probability of selecting a defective calculator from the group of defective calculators is 16/46.

Since the calculators are selected randomly, the probability of selecting a non-defective calculator is 30/46.

Therefore, the probability of selecting 4 non-defective calculators from the group of 46 calculators is:

30/46 × 29/45 × 28/44 × 27/43 = 0.2695 (rounded to 4 decimal places)

Using the formula above, we can calculate the probability that at least one calculator will be defective:

P(at least one defective calculator) = 1 - P(no defective calculator)P(no defective calculator)

                                                         = 1- 0.2695 P(at least one defective calculator)

                                                         = 1 - 0.2695

                                                         = 0.7305

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Answer: What number cards??

Step-by-step explanation:

Answer:

Let's use algebra to solve the problem.

Let x be the number of 50 cent pieces in the moneybox.

Then the number of 20 cent pieces in the moneybox is 600 - x (since there are 600 coins in total).

The value of x 50 cent pieces is 50x cents.

The value of (600 - x) 20 cent pieces is 20(600 - x) = 12000 - 20x cents.

The total value of the coins is the sum of these two values:

50x + (12000 - 20x) = 3000 + 30x

So there are 3000 + 30x cents in the moneybox.

To find the total number of cents, we need to evaluate this expression for x:

3000 + 30x

We don't know the value of x, but we do know that there are 600 coins in the moneybox, so we can set up another equation:

x + (600 - x) = 600

Simplifying this equation, we get:

x + 600 - x = 600

Simplifying further, we get:

600 = 600

This equation is always true, which means we can solve for x in terms of 600:

x = 600 - (600 - x)

x = 600 - (600 - x)

x = 600 - (600 - x)

x = 600 - 600 + x

x = x

So x can be any value between 0 and 600.

To find the total number of cents in the moneybox, we need to evaluate the expression 3000 + 30x for any value of x between 0 and 600.

The minimum value of this expression occurs when x = 0:

3000 + 30(0) = 3000

The maximum value of this expression occurs when x = 600:

3000 + 30(600) = 21000

So there are between 3000 and 21000 cents in the moneybox, depending on how many 50 cent pieces there are.

Hope This Helps!

Answer:

y = 91

as the x value increases the y value also increases.

The x and y value will always be 9 numbers apart as it increases.

Step-by-step explanation:

y = x-9, x = 100

y = 100 - 9

y = 91

(100, 91)

The statement "Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis" accurately describes how to reflect point A (3, -1) over the y-axis

To reflect a point over the y-axis, you need to find a new point that is the same distance from the y-axis as the original point, but on the other side of the y-axis.

This can be done by constructing a perpendicular line from the original point to the y-axis, determining the distance from the original point to the y-axis along this line, and then finding a new point on the other side of the y-axis that is the same distance from the y-axis as the original point.

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The coordinates of the vertices of the image of the translation

J'(−2,−1) and K'(1,1) and L'(2,−1) and M’(1,−3) are:

(x, y)⇒ (x+3,y−2)

Add 3 to each x-coordinate and subtract 2 from each y-coordinate of the vertices of quadrilateral JKLM to find the vertices of the translated image.

J(-5,1): J' (-5 + 3, 1-2)

Or, J'(-2,-1)

K(−2,3): K’(−2+3,3−2)

Or, K’(1,1)

L(−1,1): L’(−1+3,1−2)

Or, L’(2,−1)

M(−2,−1): M’(−2+3,−1−2)

Or, M’(1,−3)

Now,

The vertices of the translated image are:

J’(−2,−1) and K’(1,1) and L’(2,−1) and M’(1,−3)

Again,

The algebraic rule to describe the translation is:

(x, y) ⇒ (x+3,y−2)

Therefore,

The vertices of the translated image:

J'(−2,−1) and K'(1,1) and L'(2,−1) and M’(1,−3) are:

(x, y)⇒ (x+3,y−2)

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Answer:

120°

Step-by-step explanation:

In a quadrilateral, the angle sum is 360°

Therefore,

2t+2t+t+t = 360

6t = 360

t = 360÷6

t= 60°

Now,

Z = 2t

Z = 2 × 60

= 120

The intercept might not make sense in these types of issues, but that is alright. The electrician is unaware of the significance of the x-value. intercept's

y=85x+90

The constant 90 is the hourly rate that does not fluctuate, and x is the amount of hours units are dollars. The rate at which the slope is increasing in this instance is 85 per hour. The independent variable is the number of hours that can be determined. The dependent variable is the price. depends on hours, which is typically on the y-axis, whereas the independent variable is typically on the x-axis.

cost $ 90, and the y-intercept (0,90)

Where y=0 is at -2.5 is where the x-intercept is located.

The intercept might not make sense in these types of issues, but that is alright. The electrician is unaware of the significance of the x-value. intercept's

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Answer:

It is C

Step-by-step explanation:

I took it. But, check to be sure.

2/3. The probability of picking a card greater than 8 is 2/3, as there are two cards with values greater than 8 (9 and 10) out of three total cards (7, 8, and 9).

To calculate the probability of picking a card greater than 8, we need to know how many cards have values greater than 8 out of the total number of cards. In this case, there are three cards: 7, 8, and 9. Out of those three cards, two have values greater than 8 (9 and 10). Therefore, the probability of picking a card greater than 8 is 2/3. We can express this probability as a fraction (2/3) or as a decimal (0.67). Hence,The probability of picking a card greater than 8 is 2/3, as there are two cards with values greater than 8 (9 and 10) out of three total cards (7, 8, and 9).

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Answer:

 A. -114

Step-by-step explanation:

Got it right.

Since the volume of the pool is 948.98 gallons gallons and the garden hose can fill 720 gallons in half an hour, it is clear that Ines cannot fill the pool completely before her brother gets home in half an hour.

To determine if Ines has enough time to fill the pool before her brother gets home, we need to calculate the volume of the pool and the amount of water that the garden hose can fill in the given time.

The pool is cylindrical with an outer diameter of 9 ft and a height of 3 ft, which means the radius of the pool is 4.5 ft (half the diameter).

The width of the pool is given as 10 inches, which is 10/12 = 0.83 ft

radius of inner pool = 4.5-0.83 = 3.67 ft

The volume of the pool can be calculated using the formula for the volume of a cylinder:

[tex]V_{pool} = \pi r^2h[/tex]

where π is approximately 3.14, r is the radius, and h is the height.

Substituting the given values, we get:

[tex]V_{pool} = 3.14 * (3.67)^2 * 3[/tex]

[tex]V_{pool} = 126.87 ft^3[/tex]

To convert this volume to gallons, we need to multiply by the conversion factor of 7.48 gallons per cubic foot:

[tex]V_{pool} = 126.87 * 7.48[/tex]

[tex]V_{pool }= 948.98 gallons[/tex]

Now we need to determine how much water the garden hose can fill in half an hour, which is 0.5 hours.

The flow rate of the garden hose is given as 24 gallons per minute, so in half an hour it can fill:

24 gallons/min * 30 min = 720 gallons

Since the volume of the pool is 948.98 gallons gallons and the garden hose can fill 720 gallons in half an hour, it is clear that Ines cannot fill the pool completely before her brother gets home in half an hour.

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The complete question is :

Ines's younger brother will be home in a half hour. If her garden hose flows at a rate 24​ gal/min, does she have enough time to fill the pool before he gets​ home? Explain. ​ (Hint: 1 ft = 7.48 gal)

Therefore, the distance between the two points is 13 units.

Distance is the measure of the length between two points or objects. It is the amount of space between two points, or the length of a path traveled by an object. Distance is typically measured in units such as meters, kilometers, miles, feet, or yards. In physics, distance is often used to describe the separation between two objects in space, and it is an important factor in many scientific calculations, such as speed, velocity,

and acceleration.

by the question.

Here is the plot of the two points on the coordinate plane:

The first point (-8, 7) is plotted 8 units to the left of the y-axis and 7 units above the x-axis. The second point (5, 7) is plotted 5 units to the right of the y-axis and 7 units above the x-axis.

To find the distance between these two points, we can use the distance formula:

[tex]distance =\sqrt((x2 - x1)^2 + (y2 - y1)^2)[/tex]

where?[tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex] are the coordinates of the two points.

Plugging in the coordinates, we get:

[tex]distance = \sqrt((5 - (-8))^2 + (7 - 7)^2)[/tex]

        = [tex]\sqrt((13)^2 + (0)^2)[/tex]

        = [tex]\sqrt(169)[/tex]

        = 13

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Answer:

1) Since 16 x 16 = 256, the square root of 256 is 16.

16÷2√8

2) Simplify 18 to 2√2.

16 ÷ 2 × 2√2

3) Simplify 16÷2 to 8.

8 × 2√2

4) Simplify.

16√2

Done

Decimal Form: 22.627417

Answer:

22.6 (approx)

Step-by-step explanation:

[tex] \sqrt{256} = 16[/tex]

[tex] \sqrt{8} = 2 \sqrt{2} [/tex]

[tex] \sqrt{2} = 1.41 \: approx[/tex]

16 ÷ 2×(2×1.41)

16 ÷ 2×2.82

8 × 2.82

Therefore, answer is 22.56

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

We can estimate that the length of the hypotenuse is about 8.6 units.

We can use the Pythagorean theorem to estimate the length of the hypotenuse of the right triangle formed by the given opposite and adjacent sides.

The Pythagorean theorem states that:

c^2 = a^2 + b^2

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides of the right triangle.

Substituting the given values, we get:

c^2 = 7^2 + 5^2

c^2 = 49 + 25

c^2 = 74

To estimate the length of the hypotenuse, we can take the square root of both sides:

c ≈ √74

c ≈ 8.6 (rounded to one decimal place)

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