Ruben has 6 new books for his collection. This increases his collection by 12%? How many books does he have now?

A) is 164 because 6 times 6 is 36. 500 - 36 is 164

8*10^6+5*10^9 should be

5,008,000,000

Answer:

The error student make is he multiply the terms instead of addition.

Step-by-step explanation:

Given : A student found the product of 8 × 10 to the 6 power + 5 × 10 to the 9th power to be 4 × 10 to 15 power.

To find : What is the error ?

Solution :

8 × 10 to the 6 power - [tex]8\times 10^6[/tex]

5 × 10 to the 9th power - [tex]5\times 10^9[/tex]

4 × 10 to 15 power -  [tex]4\times 10^{15}[/tex]

According to student, [tex]8\times 10^6+5\times 10^9=4\times 10^{15}[/tex]

We solve the expression,

[tex]=8\times 10^6+5\times 10^9[/tex]

[tex]=8\times 10^6+5000\times 10^6[/tex]

[tex]=10^6(8+5000)[/tex]

[tex]=5008\times 10^6[/tex]

The error student make is he multiply the terms instead of addition.

Answer:

D. 26.75 pounds/minute

Step-by-step explanation:

For calculate unit rate that reflects the speed of the processor we can use the following equation:

[tex]Speed = \frac{Total Pounds}{RequiredTime}[/tex]

Taking into account that the answers are in pounds per hour and pounds per minute, we re going to calculate the speeds in booth units.

1. Speed in Pounds per hours: Replacing Total Pounds by 4,815 and Required time by 3 hours, we get:

[tex]Speed = \frac{4,815Pounds}{3 Hours}=1,605 Pounds/hour[/tex]

2. Speed in Pounds per minute: Every hour have 60 minutes, the 3 hours have 180 minutes, so replacing Total Pounds by 4,815 and Required time by 180 minutes, we get:

[tex]Speed = \frac{4,815Pounds}{180 Hours}=26.75 Pounds/hour[/tex]

So, chosen the rate that appear in the answers, we can say that the correct answer is D. 26.75 pounds/hours.

Total number of marbles : 3 + 8 = 11

8 are white.

Probability of picking a white one is 8/11

the prime factors for 150 are:

2 x 3 x 5 x 5

In exponential form:

2^1 x 3^1 x 5^2

Hope this helps

Answer:

Step-by-step explanation:the prime factors for 150 are:

2 x 3 x 5 x 5

Answer:

For this expression, you will have to use the distribution property to get your answer.

First, distribute the 4 to the x and -1

[tex]4(x)=4x[/tex]

[tex]4(-1)=-4[/tex]

[tex]4x-4-3(x+2)[/tex]

Now do the same with the -3, x and 2

[tex]-3(x)=-3x[/tex]

[tex]-3(2)=-6[/tex]

[tex]4x-4-3x-6[/tex]

Now combine like terms to get your final answer

[tex]4x-3x=x[/tex]

[tex]-4-6=-10[/tex]

Thus, your solution is: x - 10

Step one: 4(x-1)-3(x+2)=0        (set equal to zero)

Step two: 4x-4-3x-6=0            (multiply numbers on the outside to inside of "( )")

Step three: x-10=0                   (combine like terms)

Step four: 0+10=10, x=10         (inverse operation)

Answer: x=10

we are given

Mr. Tomaszewski earned 2,000 zlotys

so, past salary =2000

he got a raise and currently earns 2,500 zlotys

so, present  salary =2500

now, we have to find raised amount

we can use formula

raised amount = (present salary) - (past salary)

now, we can plug values

and we get

raised amount = 2500 - 2000

so, we get

raised amount = 500 zlotys........Answer

814,180. Hope I helped. If i didn't I am sos sorry. I would take 7.9 or .079 to 754,844 to get your number.

The approximate population of South Dakota in 2010 after a 7.9% increase from the 2000 population is 814,477 people.

To find the population of South Dakota in 2010, we need to calculate the increased population based on the given percentage increase. We are provided with a population of 754,844 in 2000 and an increase of 7.9% for 2010.

Here is the step-by-step calculation:

Multiply the population of 2000 by the increase percentage (converted to a decimal):

754,844 x 0.079 = 59,632.68.

Add this increase to the 2000 population to get the 2010 population:

754,844 + 59,632.68 = 814,476.68.

Therefore, the approximate population of South Dakota in 2010 is 814,477 people (rounded to the nearest whole number).

3 gallons = 24 pints

Hope this helps you!

Always remember you are a Work Of Art!

-Nicole :) <3

Answer:

x + y = 75.9 + 2.65 = 78.55

Step-by-step explanation:

To solve x + y given that x = 75.9 and y = 2.65. We will simply substitute the value of x in the equation with it value which is 75.9 and substitute the value of y in the equation with it value which is 2.65.

Therefore we have x + y to be

x+y

= 75.9 + 2.65

= 78.55

Therefore x + y = 78.55

The measure of angle ∣4 is 250 degrees. The measure of angle ∣A is 67 degrees.

To find the measure of angle ∣4, we can use the fact that angles around a point add up to 360 degrees.

We know that ∣1 is 45 degrees and ∣3 is 65 degrees.

To find ∣4, we can subtract the sum of angles ∣1 and ∣3 from 360 degrees.

Therefore, ∣4 = 360 - (∣1 + ∣3) = 360 - (45 + 65) = 360 - 110 = 250 degrees.

To find the measure of angle ∣A, we can use the fact that the sum of the angles in a triangle is 180 degrees.

We know that ∣B is 90 degrees because it is a right angle.

Therefore, ∣A + ∣B + ∣C = 180 degrees.

Substituting the given values, we get (3x - 8) + 90 + (x - 2) = 180. Simplifying the equation, we get 4x + 80 = 180.

Solving for x, we get x = 25.

Substituting x back into the equation for ∣A, we get ∣A = (3(25) - 8) = 67 degrees.

option A  IS correct option.

What does -8 1 mean do you mean -8, 1

You found $5, so it's positive. You don't put anything in the negative, because you aren't losing anything.

(x/7)-12=-2

Add 12 to both sides.

x/7=10

Multiply both sides by 7.

x=70

Final answer: 70

hope this helps :)

-4 = x/9 - 8

-x/9 = 4 - 8

-x/9 = -4

x = 4 * 9

x = 36

The cost per ounce of the first bottle is $0.415 and the second bottle is $0.699.

The first bottle has the better deal because if you were to have 14 ounces of the first type of shampoo, it would only cost $5.81

Cost per ounce is:

To find the cost per ounce for each bottle, use the formula:

= Total cost / number of ounces

6 ounce bottle:

= 2.49 / 6

= $0.42 per ounce

14 ounce bottle:

= 9.79 / 14

= $0.70 per ounce

The 6 ounce bottle is therefore the better deal.

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Let 1 piece = X

The 2nd piece would be X + 2 feet

Add:

x +x+2 = 26 feet

2x +2 = 26 feet

Subtract 2 from each side:

2x = 24

Divide both sides by 2:

x = 24 / 2

X = 12

One piece is 12 feet the other piece is 14 feet.

27,515 is the actual answer.

Estimated, it is about 27,500

Hope I helped!

48 lbs / 12 bags

About 4 pounds of sand per bag

Each bag would hold 4 pounds of sand because 48 / 12 = 4

[tex]\((21/2 \times 2 \ 3/4)^2\) is equivalent to \(\frac{13320.25}{16}\)[/tex]

Sure, let's simplify the expression [tex]\((21/2 \times 2 \ 3/4)^2\)[/tex] step by step:

1. [tex]\(21/2\)[/tex] can be simplified to [tex]\(10.5\)[/tex].

2. [tex]\(2 \ 3/4\)[/tex]can be written as an improper fraction: [tex]\(2 \ 3/4 = 8/4 + 3/4 = 11/4\)[/tex].

Now, the expression becomes [tex]\((10.5 \times 11/4)^2\)[/tex].

3. Multiply [tex]\(10.5\) by \(11/4\): \(10.5 \times 11/4 = 115.5/4\)[/tex].

Now, the expression is [tex]\((115.5/4)^2\)[/tex].

4. Square the fraction: [tex]\((115.5/4)^2 = (115.5^2)/(4^2)\)[/tex].

5. Calculate the numerator and denominator separately: [tex]\(115.5^2\)[/tex] in the numerator and [tex]\(4^2\)[/tex] in the denominator.

[tex]\[ \text{Numerator: } 115.5^2 = 13320.25 \][/tex]

[tex]\[ \text{Denominator: } 4^2 = 16 \][/tex]

6. The final result is [tex]\(\frac{13320.25}{16}\)[/tex].

Now, you can simplify this fraction by dividing the numerator by the denominator:

[tex]\[ \frac{13320.25}{16} \div 1 = \frac{13320.25}{16} \][/tex]

The plane travels at 60 mph and the wind is blowing at 20 mph.  

By setting up and solving a system of equations, we find that the speed of the plane in still air is 63 mph and the speed of the wind is 21 mph.

To answer this question, you first need to set up equations to represent the speed of the plane and the speed of the wind. You can denote the speed of the plane in still air as 'p' and the speed of the wind as 'w'. The plane's speed with the wind (going to Phoenix) is represented by p+w and against the wind (coming back) is p-w.

For the trip to Phoenix, you know that distance = speed * time. That gives us the equation 1176 = 14(p+w). After simplification, we obtain the equation, p+w = 84.

For the return flight, our equation is 1176 = 28(p-w). On simplification, we find the equation p-w = 42.

Now you have a system of equations that you can solve: p+w = 84p-w = 42. Solving these equations together, you find that the speed of the plane (p) in still air is 63 mph, and the speed of the wind (w) is 21 mph.

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Let x is the days and the y is the height of the plant.

Let the change between x and y is linear.

So, the relation between x and y will take the form ⇒ y = ax + b

where a and b are constants.

At x = 30 ⇒ y = 18  ⇒⇒⇒  ∴ 18 = 30 a + b   → (1)

At x = 90 ⇒ y = 29 ⇒⇒⇒  ∴ 29 = 90 a + b   → (2)

solve (1) and (2) to find a and b

subtract (1) from (2)

∴ 11 = 60 a ⇒⇒⇒ ∴ a = 11/60

substitute at (1) ⇒⇒⇒ ∴ b = 25/2 = 12.5

So, the equation which represents the plants growth is

∴ y = (11/60) x + 12.5

Answer:

Let x is the days and the y is the height of the plant.

Let the change between x and y is linear.

So, the relation between x and y will take the form ⇒ y = ax + b

where a and b are constants.

At x = 30 ⇒ y = 18  ⇒⇒⇒  ∴ 18 = 30 a + b   → (1)

At x = 90 ⇒ y = 29 ⇒⇒⇒  ∴ 29 = 90 a + b   → (2)

solve (1) and (2) to find a and b

subtract (1) from (2)

∴ 11 = 60 a ⇒⇒⇒ ∴ a = 11/60

substitute at (1) ⇒⇒⇒ ∴ b = 25/2 = 12.5

So, the equation which represents the plants growth is

∴ y = (11/60) x + 12.5

Step-by-step explanation:

Here is the solution...

1) [tex]\sqrt[3]{135} \\[/tex]

Solution

We can rewrite [tex]\sqrt[3]{135} = \sqrt[3]{27} *\sqrt[3]{5}[/tex]

Here, [tex]\sqrt[3]{27} = 3[/tex]

Now substitute the value, we get

[tex]\sqrt[3]{135} = 3 \sqrt[3]{5}[/tex]

The answer is [tex]3\sqrt[3]{5}[/tex]

2) [tex]-5\sqrt[3]{40}

Solution

[tex]-5\sqrt[3]{40} = -5\sqrt[3]{8} *\sqrt[3]{5}[/tex]

Here [tex]\sqrt[3]{8} = \sqrt[3]{2^{3} } = 2\\[/tex]

Therefore, we get [tex]-5*2\sqrt[3]{5} = -10 \sqrt[3]{5}[/tex]

The answer is-10 \sqrt[3]{5}[/tex]

2) [tex]2\sqrt[3]{5} * 4\sqrt[3]{8}[/tex]

Solution

[tex]\sqrt[3]{8} = 2[/tex]

Now plug in the above in the given expression, we get

[tex]2\sqrt[3]{5} * 4*2 = 16\sqrt[3]{5}[/tex]                         {2*4*2 = 16]

The answer is [tex]16\sqrt[3]{5}[/tex]

4 (1/5 ) = 21/5

21 / 5 divided by 2 / 3 equals

21 / 5 * 3 / 2 equals 63 / 10 equals

6 (3 / 10)

To find the values of x and y in the equation 40 = 12x + 4y, isolate the x term and solve for x, then substitute the value of x into the equation to solve for y.

To find the values of x and y in the equation 40 = 12x + 4y, you need to solve for one variable at a time. First, isolate the x term on one side of the equation by subtracting 4y from both sides:

40 - 4y = 12x

Then, divide both sides by 12 to solve for x:

x = (40 - 4y) / 12

Now you have the equation for x in terms of y. To find the values of y, you can substitute the expression for x into the original equation and solve for y.

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i think that you would just take 23/4=$5.75

so take 6 times 5.75 and you should get $34.5

To answer this question, we first need to determine the unit cost (cost per t-shirt).

Step 1: Find the unit cost
Alicia bought 4 T-shirts for a total of $23.00. To calculate the cost per T-shirt (the unit rate), we need to divide the total cost by the number of T-shirts.

So, $23.00 (total cost) divided by 4 (number of T-shirts) equals $5.75. Thus, the unit cost of one T-shirt is $5.75.

Step 2: Calculate the cost for 6 T-shirts
Now that we know the unit cost, we can find out how much 6 T-shirts will cost. To do this, we multiply the unit cost by the number of T-shirts.

So, $5.75 (cost per T-shirt) times 6 (number of T-shirts) equals $34.50.

Therefore, it would cost $34.50 for 6 T-shirts, given the unit rate.

Answer: The statement is [tex]\frac{AD}{DB} +1=\frac{CE}{EB}+1[/tex] and the reason is add 1 both sides.

Explanation:

The given equation is [tex]\frac{AD}{DB} =\frac{CE}{EB}[/tex].

We know that according to the addition property the equation x=y and x+c=y+c are equivalent equations, where c is a constant.

So we can add 1 both sides in the given equation.

[tex]\frac{AD}{DB} +1=\frac{CE}{EB}+1[/tex]

Now we can take LCM and we get,

[tex]\frac{AD+DB}{DB} =\frac{CE+EB}{EB}[/tex]

The above step is the third step of the given proof. By follow the given steps we can prove that DE is parallel to AC.

Therefore, the missing step is addition of 1 on both the sides of the given equation.

To prove that DE is parallel to AC, we need to show that the lines DE and AC have the same slope. By rearranging the given equations to isolate the currents I₁, I₂, and I₃, and then setting these expressions equal to each other, we can determine the relationship between the currents and thereby the slopes of DE and AC.

To prove that DE is parallel to AC, we need to show that the lines DE and AC have the same slope. The given equations 1₁ - 12 - 13 = 0, I₁ R₁ + I₂ R₂ = V₁, and I₂ R₂ − I₃ (R₃ + R₄) = V₂ can be rearranged to isolate the currents I₁, I₂, and I₃ in terms of voltage and resistance. By setting these expressions equal to each other, we can determine the relationship between the currents and thereby the slopes of DE and AC.

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Step 1: You want to remove the percent sign and then put the number over 100.

Step 2: If the percent is not a whole number then you want to multiply the top and bottom number by 10 but only for every number that comes after the decimal point.

Step 3: Always simplify if possible.

Examples:

43% = [tex]\frac{43}{100}[/tex]

78% = [tex]\frac{78}{100}[/tex] = [tex]\frac{39}{50}[/tex]

0.4% = [tex]\frac{0.4}{100}[/tex] = [tex]\frac{4}{1000}[/tex] = [tex]\frac{1}{250}[/tex]