The soil in Sean's backyard is made up of 45% sand. If he has 1000 lbs of soil in his yard, how many pounds of sand are there?

Answer: 0.045%

Step-by-step explanation:

Answer:

.4

Step-by-step explanation: have a good day

Answer:

D. 9, 40, 41

Step-by-step explanation:

We can use Pythagorean theorem (a²+b²=c²) to answer this question by squaring the smallest 2 lengths then seeing if it equals the square of the 3rd length.

2²+3² = 4+9 = 13 ≠ 4²

12²+15² = 144+225 = 369 ≠ 20²

8²+9² = 64+81 = 145 ≠ 10²

9²+40² = 81+1600 = 1681 = 41²

I think 4 but I could be wrong

Answer:

3

Step-by-step explanation:

There are always three acute angles in an acute triangle. The definition of an acute triangle is that it is a triangle in which all angles are less than 90 degrees.

Hopefully this helps :)

Multiply by 6

And

Multiply by 3

eq(1)-eq(2)

Then

From Equation 1

\( \dfrac{x}{2} + \dfrac{2y}{3} = - 1 \)

\( \dfrac{3x + 4y}{6} = - 1\)

\(3x + 4y = - 6 \)

From Equation 2

\(x - \dfrac{y}{3} = 3 \)

\( \dfrac{3x - y}{3} = 3\)

\(3x - y = 9\)

By eliminating ;;

For that multiply equation 2 by 4

12x - 4y = 36 _(3)

By taking equation (1) and (3)

3x + 4y = -6

12x - 4y = 36

__________

15x = 30

x = 30/15

x = 2

Putting the value of x in 2

\(3(2) - y = 9\)

\(6 - y = 9\)

\(6 - 9 = y\)

\(-3 = y\)

So The value of x = 2 and y = -3

Answer:

1755.98

Step-by-step explanation:

1755.97809915

1 cent is 1 hundredth of a dollar, so to round to the nearest cent means to round to the nearest hundredth.

The 7 in boldface is the hundredths place.

Drop all digits to the right of the 7.

1755.97

dropped digits: 809915

Look at the leftmost digit that was dropped (in boldface). If it is from 0 to 4, you are done, and the answer is 1755.97. If the leftmost digit that was dropped is from 5 to 9, the hundredths digit goes up by 1. Here, the first digit that was dropped is an 8, so the 7 in the hundredth place goes up 1 to 8.

Answer: 1755.98

PART 1

The exponential decay model is given to be:

where a is the initial value and r is the decay rate.

In the question, the initial value is 15,500 and drops at a rate of 3%. This means that we have the following parameters:

Therefore, the exponential model is gotten to be:

PART 2

The graph of the function is shown below:

At x = 8000, we have the time as shown below:

The time will be 21.7 years.

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

angle AOD = 90⁰

BOD = 3x⁰

90⁰+3x⁰ = 180⁰( being straight angle)

3x = 180⁰-90⁰

3x = 90⁰

x = 90⁰/3

x = 30⁰

now

y⁰+139⁰ = 180⁰(being straight angle)

y⁰ = 180⁰-139⁰

y⁰ = 41⁰

Answer:

90, 37

Step-by-step explanation:

we can say AC is diameter since the dot is center and p being angle subtended by arc AC, is 90° as angle at semicircle is 90.

sum of all sides is 360 so q is 37°

Answer:

5/12

Step-by-step explanation:

Answer:

D) -47/36

Step-by-step explanation:

Trust me.

Answer:

a. True

Step-by-step explanation:

a. True

A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.

The speed of the current is 3 miles per hour. Answer: The speed of the current is 3 miles per hour.

.Let "t" be the time taken to travel 78 miles downstream and "t" be the time taken to travel 42 miles upstream.

The distance traveled downstream is 78 miles, so we can write:78 = (10 + x)t ... equation (1)

The distance traveled upstream is 42 miles, so we can write:42 = (10 - x)t ... equation (2)

Solving equations (1) and (2) for "t", we get:t = 78 / (10 + x) ... equation (3)

t = 42 / (10 - x) ... equation (4)

We can equate the value of "t" from equations (3) and (4) since the time is the same.

We get:78 / (10 + x) = 42 / (10 - x)

Multiplying both sides by (10 + x)(10 - x), we get:78(10 - x) = 42(10 + x)

Simplifying, we get:780 - 78x = 420 + 42x

Adding 78x and subtracting 420 from both sides, we get:120x = 360x = 3

Therefore, the speed of the current is 3 miles per hour. Answer: The speed of the current is 3 miles per hour.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Dominic should rent a house given his circumstances and his plans to study in another school.

A down payment is a sum of money that a buyer pays up front to purchase a significant item, like a house or a car. When purchasing a home, the down payment represents normally a portion of the entire cost, with the remaining balance being financed by a mortgage. Many elements, including the buyer's credit score, the kind of mortgage, and the lender's requirements, might affect the down payment amount.

Dominic wants to carry on his education by enrolling in a graduate programme at a different university in a different state. When deciding to settle down for an extended amount of time, buying a home usually makes more financial sense because buying and selling a home can be expensive.

The total savings are:

1500 + 3200 + 1000  

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a. The multiplication equation that will give us a solution of -1/2 is: 4x = -2.

b. The division equation that will give us a solution of -1/2 is: x/2 = -1/4.

The value of a variable that is in an equation is the solution that will make the equation true when plugged into the equation. It is found by isolating the variable to one side of the equation, while the value on the other side is the solution.

a. A multiplication equation with a given solution of -1/2 is 4x = -2. Solve for x:

4x = -2

Divide both sides by 4

4x/4 = -2/4

x = -1/2

b. A division equation that will have a solution that is equal to -1/2 is x/2 = -1/4.

Solve to find x

x/2 = -1/4

Cross multiply

4x = -2

Divide both sides by 4

4x/4 = -2/4

x = -1/2.

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The amount of money that you would need for gas if the car consumes the given rate of fuel would be =$240.24

The distance that it takes to travel from Kitchener to Calgary would be = 3300km

The amount of liter of fuel that can be used for 1 km = 0.07L

Therefore the amount of fuel in Liters for 3300km = ?

That is,

1 km = 0.07L

3300km = 231L

But 1 liter = $1.04

231L = X

X = 231×1.04

= 240.24

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Answer:

9/2

Step-by-step explanation: I think it is the answer? I really don't know.

The number that is non-irrational is 5.73, because it can be written as a quotient of two integers.

A rational number is a number that can be written as a quotient of two integer numbers, while an irrational number can't be written like that.

Also, the square root of a non perfect square is also irrational.

Here the options are:

5.73, ,√73, √40

Notice that neither of the square roots of non perfect square numbers, so these are irrational numbers.

In other hand, if we see the first one:

5.73

We can rewrite this as:

5.73 = 573/100

So this is a quotient of two integers, then this is a rational number, so this is the correct option.

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The required general solution of the differential equation in implicit form y = \([(3/2) * (15x + C) * x^{-3}]^{-3/2}\).

The differential equation is a nonlinear equation and cannot be solved exactly by standard methods. One way to approach a solution is to try to find a substitution that transforms the equation into a separable form, where the variables can be separated and integrated separately. A common approach is to make the substitution y = v^(-2/3), which transforms the equation into:

3x^2 * (2/3) * v^(-5/3) * v' + 6x * v^(-2/3) = 15 * v^(-5/3)

Dividing both sides by v^(-5/3), we get:

3x^2 * (2/3) * v' + 6x * 3 * (2/3) * v^(1/3) = 15

This is now a separable differential equation, and we can integrate both sides to find the general solution:

∫(3x^2 * (2/3) * v' dx) = ∫(15 dx) + C

(2/3) * x^3 * v = 15x + C

v = (3/2) * (15x + C) * x^(-3)

Finally, substituting back for y = v^(-2/3), we get the general solution:

y = \([(3/2) * (15x + C) * x^{-3}]^{-3/2}\)

This is the general solution of the differential equation in implicit form. To find an explicit form, one could solve for C using initial or boundary conditions.

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Answer:

1:144

Step-by-step explanation:

if each floor is 15 feet, the whole building is 60 feet tall. so it does have a scale of 5 inches:60 feet but if you simplify that, its 1 inch: 12 feet, so you convert feet into inches by multiplying by twelve, which gives you a scale of 1:144 inches

Answer:

1:144 inches

Step-by-step explanation:

Answer:

its closer to 0.5

Step-by-step explanation:

if you change 1/3 to a decimal its going to be 0.333333

0.33333 is closer to 0.5

Answer:

0

Step-by-step explanation:

1/3 is 1 part of 3.

0.5 is half of 1.

1/3 is closer to 0.

If Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, how many books they can buy,

Rs 30 = 45 book

Rs 30 = 45

Rs 1 = 45 / 30

Rs 24 = 3/2 × 24

Rs 24 = 34 books

Thus, if Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.

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Answer:

g/22.3 = n

Step-by-step explanation:

Answer:

4 L

Step-by-step explanation:

it is divided down because L are bigger than mL by100

Answer:

400 mL = 0.4 L

Step-by-step explanation:

Divide the ml by 1000

Answer:

21

Step-by-step explanation:

Richard's gross pay for the month was $ 4,512.5.

It is required to find the gross pay for the month.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales.

salary = $2,450.00 per month

Last month salary= $2,500.00 in oil changes,

tune ups=$4,500.00  

sold =$28,200.00 in parts.

According to given question we have,

2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X

2,450 + 75 + 225 + 1,762.5 = X

2,450 + 2,062.5 = X

4,512.5 = X

Therefore, Richard's gross pay for the month was $ 4,512.5.

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Answer:

4.53%

Step-by-step explanation:

We are told that:

From the question, we have a 6.5 % coupon

Hence = 6.5 × $10

= $65

Price of the bond one year later = $1,037.19

$1,054.47 - $1,037.19

= $17.28

Rate of Return

= ($65.00 - $17.28)/$1,054.47

47.72 ÷ 1054.47 = 0.045254962

0.045254962 × 100 =

4.5254962 %

Approximately = 4.53%

Answer: 98 mins

Step-by-step explanation:

First find out the number of minutes it takes him to decorate a single cupcake:= Number of minutes / Number of cupcakes decorated = 28 / 16= 1.75 minutes per cupcakeIf he had to decorate 56 cupcakes, the amount of time he would take is:= Number of cupcakes to be decorated x Time taken per cupcake = 56 x 1.75= 98 minutes 

Answer & Step-by-step explanation:

We can assume that Adrian decorates cupcakes at a constant rate, so we can use a proportion to solve the problem.

If Adrian can decorate 16 cupcakes in 28 minutes, we can set up the proportion:

16/28 = 56/x

where x is the number of minutes it will take to decorate 56 cupcakes.

To solve for x, we can cross-multiply and simplify:

16x = 28 * 56

16x = 1568

x = 1568/16

x = 98

Therefore, if Adrian can continue at the same pace, it will take him 98 minutes to decorate 56 cupcakes.