2. Given 3,989, 825;
round to the nearest
ten thousand, hundreds, and thousands

By fraction method, 55/16 pounds of rice Belle purchased.

In math, what is a fraction?

Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                 Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

  = 2 3/4 * 5/4

   = 5/4 * 2 + 5/4 *  3/4

   = 5/2 + 5/4 * 3/4

  = 5/2 + 15/ 4 * 4

  = 5/2 + 15/16

  common denominator and write the numerators above common denominator   =   5 *8/16 + 15/16

         = 40/16 + 15/16

         = 40 + 15/16

          = 55/16

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Answer:

$17,440

Step-by-step explanation:

the interest every year

=$16,000×3%

=$16,000×3/100

=$480

the balance after 3 years

=$16,000+3($480)

=$16,000+$1,440

=$17,440

By using addition, There are total 6 marbles have you.

The process of combining two or more numbers is called the Addition. Addition is when you put together two or more numbers together to find the total amount. The result of adding two or more numbers is called the sum.

And, The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

You have 4 more marbles than your friend.

And, Your friend has 2 marbles.

Now, We have;

Since, Your friend has 2 marbles.

And, We can assume;

Let number of marbles you have = x

Hence, We can formulate;

⇒ x = 2 + 4

Combine like terms we get;

⇒ x = 6

Therefore, We get;

By using addition, There are total 6 marbles have you.

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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we  two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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Answer:

Shown in Step-By-Step, written in bold text.

Step-by-step explanation:

16) x : 1      y: -3

         2          0

         3          9

3x - 6

3(1) - 6 = -3

3(2) - 6 = 0

3(3) - 6 = 9

17) x: 1        y: -10

        2           -12

        3           -14

-2(x + 4) = -2x - 8

-2(1) - 8 = -10

-2(2) - 8 = -12

-(3) - 8 = -14

Answer:

Step-by-step

4 oz = 1/4 pound.

1 casserole requires 1/4 pound

28 casseroles require x

1/28 = 1/4 // x        For ease change 1/4 to a decimal

1/28 = 0.25 / x      Cross multiply

1*x = 28 * 0.25

x = 7

We need 7 pounds of cheese to make 28 dishes.

Answer:

So the slowest time she could have run is 13.99 seconds, as any time greater than that would have been rounded up to 14 seconds.

Step-by-step explanation:

Ingrid's time of 13.9 seconds was originally measured to 2 decimal places, which means that her actual time could be rounded to 13.9 seconds. To find the slowest time she could have run, we need to find the greatest value that could have been rounded down to 13.9 seconds.

Since the time was measured to 2 decimal places, this means that the hundredths place is known and the thousandths place can be anything between 0 and 9. So the slowest time she could have run is 13.99 seconds, as any time greater than that would have been rounded up to 14 seconds.

Answer:

d one i think

hope it helps

the sum of triangle is 180 degree

Answer:

Area of rectangle is L*W*H

therefore, (5 cm x 12 cm x 5 cm) + (3 cm x 10 cm x 12 cm) is the answer.

Step-by-step explanation:

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable

Answer:

A.

Step-by-step explanation:

She would receive $11.67

A is the correct math

Answer:

9.42 in.²

Step-by-step explanation:

12 × 25% = 3

12 + 3 = 15

2πr

2 × 6 × 3.14 = 37.68 in.²

2 × 7.5 × 3.14 = 47.1 in.²

47.1 in.² - 37.68 in.²

9.42 in.²

The area of the second circle larger than the area of the first circle will be 63.585 square inches.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the diameter of the circle. Then the area of the circle will be

A = (π/4) d² square units

The width of one circle is 12 inches long. The width of a subsequent circle is 25% longer than the measurement of the primary circle.

The diameter of the second circle is given as,

⇒ 1.25 x 12

⇒ 15 inches

The area of the first circle is given as,

A₁ = (π/4) (12)²

A₁ = 113.04 square inches

The area of the second circle is given as,

A₂ = (π/4) (15)²

A₂ = 176.625 square inches

The area of the second circle larger the area of the first circler is given as,

A = A₂ - A₁

A = 176.625 - 113.04

A = 63.585 square inches

The area of the second circle larger than the area of the first circle will be 63.585 square inches.

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Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

The reading that separates the rejected thermometers from the others is given as follows:

1.175 ºC.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 0, \sigma = 1\)

The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.

Hence:

1.175 = X/1

X = 1.175 ºC.

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Answer:

Y = 14x + 13

Step-by-step explanation:

13 is the y intercept and you can find the slope given by the coordinates

the equation of the line that passes through the points (2, 4) and (6, 2) is y = - 0.5x + 6.

The standard equation of a straight line is -

Ax + By + C = 0

Given is to find the equation of the line that passes through the points (2, 4) and (6, 2).

We can write the slope as -

{m} = (2 - 4)/(6 - 2)

{m} = -2/4

{m} = -1/2

{m} = -0.5

The slope - intercept form would become -

y = - 0.5x + c

For the point (2, 4), we can write the {y} - intercept as -

4 = - 0.5 x 2 + c

c = 6

Therefore, the equation of the line that passes through the points (2, 4) and (6, 2) is y = - 0.5x + 6.

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Answer:

To find the missing value for the exponential function, we need to identify the common ratio (r) of the exponential function, as the function can be represented as y = a(r^x), where a is the initial value.

Starting with the first two points, we can set up an equation:

24 = a(r^-2)

16.8 = a(r^-1)

Dividing the second equation by the first equation, we get:

16.8/24 = (r^-1)/(r^-2)

0.7 = r

Now we can use the third point to solve for a:

11.76 = a(0.7^0)

11.76 = a

Finally, we can use the last point to solve for y:

y = 11.76(0.7^x)

Plugging in x = 1, we get:

y = 11.76(0.7)

y = 8.232

Therefore, the missing value is 8.232, and the graph that best fits the equation is Graph A.

The missing value for the exponential function is 8.232.

The graph that best fits the equation is Graph A.

An exponential function is a Mathematical function in the form f (x) = \(a^x\), where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

We know the standard form of exponential function is

y = a\((r^x)\), where a is the initial value.

Now, taking the first two points we get

24 = a(\(r^{-2\))

and, 16.8 = a(\(r^{-1\))

Dividing the above equation we get

16.8/24 = (\(r^{-1\))/ (\(r^{-2\))

r = 0.7

Now, find the value of a

11.76 = a(\(0.7^0\))

11.76 = a

So, y = 11.76(\(0.7^x\))

For x=1 the above equation gives

y = 11.76(0.7)

y = 8.232

and the graph that best fits the equation is Graph A.

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Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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In the triangle Point C is the orthocenter then the value of x will be equal to 42.

The intersection of the cutting point of the triangle's three elevations is known as the orthocenter. The height in this instance is indeed the line to be drawn from the triangle's apex that is perpendicular to the other side.

As per the given diagram and data in the question,

The orthocenter is at Point C.

C = 3x - 36

3x - 36 = 90

3x = 90 + 36

3x = 126

x = 126/3

x = 42

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The probabilities are given as follows:

a) Tails and odd number: 1/4.

b) Tails or odd number: 3/4.

c) Tails or odd number, but not simultaneously: 1/2.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For each event, the probabilities are given as follows:

Hence the probability of both events is of:

p = 1/2 x 1/2 = 1/4.

The or probability is composed as follows:

Hence the ´probability is of:

3 x 1/4 = 3/4.

Removing the simultaneous event, the probability is of:

3/4 - 1/4 = 2/4 = 1/2.

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Step-by-step explanation:

Multiply 12600 by -3/4 to determine the amount earned.

*12600 can be put over 1.

Multiply:

\( \frac{12600}{1} \times \frac{ - 3}{4} = \frac{37800}{4} \)

Simplify by dividing the fraction by 4:

\( \frac{ - 37800 \div 4}{4 \div 4} = \frac{ - 9450}{1} \)

Mikasa has lost $9450.

Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.

Step-by-step explanation:

The slope of the line tangent to the graph of h(x) = 1/x + 3 at the point when x is -6 is -1/36.

To determine the slope of the line tangent to the graph of the given function when x = -6;

Using alternative form of the definition of derivative.

f'(a) = lim (h->0) [f(a+h) - f(a)] / h

Using this formula for the given function;

h'(a) = lim (h->0) [h(a+h) - h(a)] / h

Now, substitute a = -6 into the formula:

h'(-6) = lim (h->0) [h(-6+h) - h(-6)] / h

Next, simplify the expression by plugging in the values:

h'(-6) = lim (h->0) [1/(-6+h) + 3 - (1/-6 + 3)] / h

Simplifying further:

h'(-6) = lim (h->0) [1/(-6+h) - 1/-6] / h

Now, let's combine the fractions with a common denominator:

h'(-6) = lim (h->0) [(-6 - (-6+h))/((-6+h)(-6))] / h

Simplifying the numerator:

h'(-6) = lim (h->0) [-h / ((-6+h)(-6))] / h

Canceling out the h's:

h'(-6) = lim (h->0) [-1 / ((-6+h)(-6))]

Taking the limit as h approaches 0:

h'(-6) = -1 / ((-6)(-6))

Simplifying further:

h'(-6) = -1 / 36

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