George Drew half of his money out of the bank to go shopping. After spending $9 he had $3 left. how much did he have in the bank originally. please explain how to solve for this answer

Answer:false 5-(-3)<8

Step-by-step explanation:

8 is not less than 8

Answer:

8)449.1 9)349.3

Step-by-step explanation:

8.499+10/100*499=499+0.1*499=499+49.9=548.9

9.499-30/100*499=499-0.3*499=499-149.7=349.3

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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Hi there! :)

Answer:

(a) ≈ 3.61 cm.

(b) = 2.77 cm².

Use the Pythagorean theorem to solve for the side-length of DC. Let "s" represent the side-lengths:

s² + s² = 26

2s² = 26

Divide both sides by 2 to simplify:

s² = 13

Take the square root of both sides:

s = √13 ≈ 3.61 cm.

------------------------------------------------------------------------------------------

Calculate the shaded region by subtracting the area of the arc from the area of the square. DC represents the radius of the circle that the arc is apart of. Therefore:

Area of arc AC = 1/4 (πr²)

Solve for the area:

AC = 1/4 (π · (3.61)²)

AC = 1/4 (40.92)

AC = 10.23 cm²

Subtract this area from the area of the square (A = s²)

A = (√13)²

A = 13 cm²

13 - 10.23 = 2.77 cm²

Therefore, the solutions are:

(a) ≈ 3.61 cm.

(b) = 2.77 cm².

7

4x1.75 is 7

im not the smartest so wait for more answers just in case

Answer:

x = ±sqrt(7)

Step-by-step explanation:

3x^2 + 7 = 28

Subtract 7 from each side

3x^2 + 7-7 = 28-7

3x^2 = 21

Divide by 3

3x^2  /3 = 21/3

x^2 = 7

Take the square root of each side

sqrt(x^2) = ±sqrt(7)

x = ±sqrt(7)

Answer:

rational numbers and irrational numbers

Step-by-step explanation:

-5 rational

0.5 rational

the square root of 11 irrational

the square root of 16 is rational

2\3 rational

pi irrational

hope that helps i might be wrong

Answer:

5 1/2 weeks

Step-by-step explanation:

Given

Time it will take to complete the building = 85 1/4 hrs

Time he works on the house weekly = 15 1/2 hours

This can be expressed as

1 week = 15 1/2 hours

To calculate the number of weeks it will take to complete the house, we will say:

x = 85 1/4

Cross multiply

15 1/2 x = 85 1/4

31/2 x = 341/4

31x/2 = 341/4

Cross multiply again

31x * 4 = 2 * 341

124x = 682

x  = 682/124

x = 5.5weeks

Hence it will take Ryan 5 1/2 weeks to complete the house.

The correct value to be initially recorded in the books is $3,000.

In compliance with IFRS, when an asset is acquired, it is initially recorded at its cost, which includes all expenditures necessary to bring the asset to its intended use. In this case, the office table was purchased for $3,000 on January 1, 2017. Therefore, the correct value to be initially recorded in the books is $3,000.

When the table was revalued on December 31, the carrying amount is the amount at which the asset is recognized in the financial statements after deducting any accumulated depreciation or impairment losses. In this case, since the table had not been recorded in the books, the carrying amount is zero.

The revaluation to $2,800 against a carrying amount of $2,250 indicates that the table's fair value has decreased. However, it's important to note that the revaluation occurred after the year-end, so it does not impact the initial recording of the asset.

Therefore, the correct value to be initially recorded in the books remains at $3,000, as it reflects the cost incurred to acquire the table. The revaluation will be considered for subsequent accounting periods to reflect the change in fair value, but it does not retroactively affect the initial recording of the asset.

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The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.

Toothpaste company

Large tubes

Small tubes

1) Sparkling

100 per hour

200 per hour

2) Bright White

100 per hour

250 per hour

3) Fresh!

200 per hour

250 per hour

4) Mint

150 per hour

150 per hour

Formula for comparative advantage is

CA=rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.5

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

thus, to place the companies in order of greatest comparative advantage to least comparative advantage in  producing large tubes of toothpaste is 4, 3, 1, 2.

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Complete question:

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in

producing large tubes of toothpaste.

2.1.3.4

4.1,2,3

4,3,1,2

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A joint probability distribution can be defined as a probability distribution that displays the likelihood of two or more random variables taking place at the same time.

There are 6 Gatorades, 2 colas, and 4 waters in the cooler.

Let's assume you take three drinks at random from the cooler.Let B indicate the number of Gatorades selected, and C indicate the number of colas selected.

The following table shows the possible results of selecting three drinks and the number of Gatorades and colas selected:

When all 3 drinks are selected, there are only three possibilities, which are represented in the first row of the table, since there are just two colas in the cooler. When you grab all three drinks, there is no opportunity to get three colas since there are only two colas in the cooler, so C is always less than or equal to 2.

The last column of the table shows the total number of drinks selected. The joint probability distribution of B and C can be obtained by dividing the number of drinks in each category by the total number of drinks, which is 11.b) Main answer:Given, E[3B-C²]. Let's figure out E[3B] and E[C²].E[3B] is calculated as follows:E[3B] = 3E[B] = 3(6/11) = 18/11E[C²] is calculated as follows:P(C = 0) = 9/11, P(C = 1) = 2/11, and P(C = 2) = 0P(C² = 0) = 9/11, P(C² = 1) = 2/11, and P(C² = 4) = 0E[C²] = (0)(9/11) + (1)(2/11) + (4)(0) = 2/11Therefore,E[3B-C²] = E[3B] - E[C²] = (18/11) - (2/11) = 16/11

Summary:When selecting three drinks from the cooler, the probability of getting B and C drinks was calculated using the joint probability distribution, and E[3B-C²] was calculated using the expected value formula.

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The dimensions of the rectangle are 7 feet by 9 feet.

Let's use algebra to solve this problem.

Let x be the width of the rectangle in feet. Then, according to the problem, the length of the rectangle is 2 feet longer than the width, or x + 2 feet.

The area of a rectangle is given by the formula\(A = length x width.\) So, we can write:

A = (x + 2) x x

Simplifying this expression, we get:

A = x^2 + 2x

We know from the problem that the area of the rectangle is 63 square feet. So, we can substitute this value for A and solve for x:

63 = x^2 + 2x

Rewriting this equation in standard form:

x^2 + 2x - 63 = 0

Now, we can use the quadratic formula to solve for x:

x = (-2 ± sqrt(2^2 - 4(1)(-63))) / (2(1))

x = (-2 ± sqrt(4 + 252)) / 2

x = (-2 ± sqrt(256)) / 2

x = (-2 ± 16) / 2

x = -9 or x = 7

Since the width of the rectangle cannot be negative, we reject the solution x = -9. Therefore, the width of the rectangle is 7 feet.

The length of the rectangle is 2 feet longer than the width, or x + 2 = 7 + 2 = 9 feet.

So, the dimensions of the rectangle are 7 feet by 9 feet.

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Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

Hope that helps

Have a good day :)

The rank of the matrix a is n.

The maximum number of linearly independent rows in matrix A is called the row rank of A.

And the maximum number of linearly independent columns in a matrix A is called the column rank of A.

the row rank of A = the column rank of A

And, the rank of A = the row rank of A = the column rank of A

As given, a is an n-by-n matrix with linearly independent columns

hence, the column rank of a = n

and as the rank of a matrix  = the column rank of a matrix

=> the rank of a = n

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Answer:

The answer is A.

Step-by-step explanation:

Answer:

548km^2

Explanation:

if the surface area is 137 km, and then it has a dialation of 4, then all you need to do is multiply by 137 by 4, which equals 548. That means the surface area of cylinder B is 548 km^2. Hope that helps.

Answer:

Two years in a row: 2.25%

Three years in a row: 0.3375%

Step-by-step explanation:

For two years in a row:  

15/100*15/100

225/10000=

0.0225

0.0225*100 (for percentage)= 2.25%

For three years in a row:  

15/100*15/100*15/100

3375/1000000=

0.003375

0.003375*100 (for percentage)=0.3375%

Answer:

a. x > -1

b. x >= -2

c. x <= 3

d. x <= 0

Step-by-step explanation:

To obtain the p-value for this test statistic, we can use a t-distribution table with 597 degrees of freedom (since we have 598 observations and are estimating one parameter.

To test the claim H1: μ > 78.7 at a significance level of α = 0.10, we can use a one-sample t-test with the following null and alternative hypotheses:

H0: μ = 78.7

H1: μ > 78.7

The test statistic for this sample is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the problem, we get:

t = (81 - 78.7) / (14.1 / √598)

t ≈ 3.034

Hence, To obtain the p-value for this test statistic, we can use a t-distribution table with 597 degrees of freedom (since we have 598 observations and are estimating one parameter.

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Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other.  We then set them equal to each other:

x^2 - 2x + 1  =  x^2 + 2x - 7

We now do algebra to isolate x.  Subtract 1 from both sides.

x^2 - 2x  =  x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x  =  x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

Answer:13728

loki im not for sure but hope it helps

we have the following:

replacing:

now,

therefore, the wide is 3.57 cm and the length is 42.86 cm

y = -2x + 1

y = -2x -3

none cuz they're both -2x

Answer: no solution

Step-by-step explanation:

2x+y=1

convert to y=mx+b

y=-2x+1

2x+y=-3

convert to y=mx+b

y=-2x-3

they are parallel

Answer:

B

Step-by-step explanation:

Kusa=10x0.75=7.5

Chaman=12x0.6=7.2

7.5>7.2

so kusa rode further than chaman.

Answer:

b

Step-by-step explanation:

The answer is C (x = 91.2)

Step-by-step explanation:

x - 15.2 = 76

x = 76 + 15.2

x = 91.2

A. Equation to represent the hanger is 5(x)+2=17

B. We remove two from the right to balance the left side. 5x minus 2 equals 5 x's and 17-2=15. The balances hanger represents an equation that would be 5x=15. 5 x's would be 15÷5 which would give us 5 groups of 3. 15÷5=3 so, one of the x's equals 3. So, x=3

Sorry I couldn't do C. I am so sorry... :(

Using logical reasoning we know that (D) 18 inches² wood is needed to make the frame.

A mental process called logical reasoning seeks to reach a conclusion in a precise way.

By beginning with a set of premises and reasoning to a conclusion supported by these premises, it takes the shape of inferences or arguments.

Propositions, or true or false statements about the reality of a situation, are what the premises and the conclusion are.

They have a disagreement as a group.

In the sense that it seeks to develop correct arguments that any sane person would find persuasive, logical reasoning is norm-governed.

Logic is the primary academic field that studies logical reasoning.

Since we know that a 3/4 inch wide frame is used in the frame.

Then it is logical that 3/4 inches need to be multiplied by the perimeter of the frame as follows:

= 12(5+7) * 3/4

= 24 * 0.75

= 18

Therefore, using logical reasoning we know that (D) 18 inches² wood is needed to make the frame.

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Correct question:

Zeek makes a picture frame in shop class like the one shown below. The frame is designed for a picture measuring 5 inches by 7 inches. The frame is 3/4-inch wide on all sides. How many square inches of wood does Zeek use to make the frame?

A. 3/4

B. 314

C. 3/4

D. 18