Abby has
2
4
5

245
lb of potting soil. She needs
2
1
2

212
times that amount for her plants.
How much potting soil does she need?

f(x)=40

x=8

so if x=2 it would be 40/8 which is 5

C

since the quantities vary directly then

x = kf(x) ( where k is the constant of variation )

to find k use the given condition , f(x) = 40 when x = 2

k = [tex]\frac{x}{f(x)}[/tex] = [tex]\frac{8}{40}[/tex] = [tex]\frac{1}{5}[/tex]

thus x = [tex]\frac{1}{5}[/tex]f(x)

when x = 2

f(x) = [tex]\frac{x}{k}[/tex] = [tex]\frac{2}{\frac{1}{5} }[/tex] = 10

-4 = x/9 - 8

-x/9 = 4 - 8

-x/9 = -4

x = 4 * 9

x = 36

48 lbs / 12 bags

About 4 pounds of sand per bag

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

3 gallons = 24 pints

Hope this helps you!

Always remember you are a Work Of Art!

-Nicole :) <3

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

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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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:

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

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]

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]

B would be the answer because if you were to search up a picture of alternate interior angles, it would be the same as <CAD and <ACB

Answer:

(B) ∠CAD≅∠ACB

Step-by-step explanation:

Given in the question quadrilateral ABCD is a rectangle and a table of two-column proof with missing statement for proves that the diagonals of the rectangle bisect each other.

If we want to prove that the diagonals bisects to each other, then for this  first we will prove that ΔADE≅ΔCBE. But given in the two-column proof  

∠ADB≅∠CBE , side BC= side AD .  ∠CAD ≅ACD must be  necessary for to prove that ΔADE≅ΔCBE (ASA postulate). Hence statement  ∠CAD ≅ACD can be used to fill in the blank space.

4 (1/5 ) = 21/5

21 / 5 divided by 2 / 3 equals

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

6 (3 / 10)

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

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.

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.

d - 2 < -1 is how this inequality would be displayed.

However, we can solve for the value of d by treating this like a standard algebraic equation.

d - 2 < -1

Add 2 to both sides.

d < 1

The value of d is less than 1.

Let me know if you have any other questions.

Answer:

Given phrase,

a number d minus 2 is less than -1

∵ '-' is the sign of minus,

⇒ d minus 2 = d - 2

Also, '<' is the sign of less than,

⇒ d minus 2 is less than -1 = d - 2 < - 1

Hence, the required inequality would be,

[tex]d-2 < -1[/tex]

Now, by further solving,

Add 2 on the both sides of inequality ( additive property of inequality )

[tex]d < -1 + 2\implies d < 1[/tex]

⇒ d ∈ ( -∞, 1 )

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.

(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 :)

the answer is that it is false

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).

27,515 is the actual answer.

Estimated, it is about 27,500

Hope I helped!

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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option A  IS correct option.

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.

The correct answer is A) g≥5

This is because when you look at an absolute value function, the constant at the end is the y value of the vertex. Since it is an absolute value equation, we know that the values can only go up. Therefore, it must be greater than or equal to the constant at the end (5)

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.