6x+1/2(12x-8)=3x-31 what is the answer?

Answer:

50

Step-by-step explanation:

if im thinking right

im SOO sorrYYy if its wrong

Answer:

Step-by-step explanation:

Given the formula for calculating the distance between two points expressed as D = \(\sqrt{(y_2-y_1)^{2} + x_2-x_1)^{2} }\)

Given the points y₂ = 8, y₁ = 4, x₂ = 6 and x₁ = 7, to determine the distance we will substitute this values into the given formula as shown;

\(D = \sqrt{(8-4)^{2} + (6-7)^{2} }\\\\D = \sqrt{(4)^{2} + (-1)^{2} }\\\\D = \sqrt{16 + 1 }\\\\\\\\D = \sqrt{17} }\\\\D = 4.12\)

Answer:

y=4/5(x-5)+4

Step-by-step explanation:

y=m(x-h)+k

y=4/5(x-5)+4

Answer:

2.50

Step-by-step explanation:

Answer: 15 cm

Step-by-step explanation:

Step 1: Find the area of the parallelogram.

Use the formula for the area of a parallelogram, with BC as the base and DE as the corresponding height.

Area of parallelogram = Base x Height

= BC x DE

= 45 x 13

= 585 \(cm^{2}\)

Step 2: Find the length of DF

Use AB as the base and DF as the corresponding height.

We can find the parallelogram's height by dividing the area by the corresponding base.

Height of the parallelogram = area ÷ base

DF = area ÷ base (AB)

= 585 ÷ 39

=15 cm.

The volume of the resulting solid, in simplest form in terms of π, is 22π cubic units.

To find the volume of the resulting solid when the shaded region is rotated about the x-axis, we can use the disk method.

The volume can be calculated by summing up the volumes of an infinite number of infinitely small disks formed along the x-axis. The formula for the volume of a single disk is V = πR^2h, where R is the radius and h is the height (or thickness) of the disk.

For the given shaded region consisting of 11 unit squares, we can split the region into three horizontal rectangles: one with a height of 1 unit, another with a height of 2 units, and the last one with a height of 3 units.

We will calculate the volume of the solid formed by rotating each rectangle separately and then add them up:

1. Rectangle with height 1 unit:
  - The radius of the disk is 1 (height of the rectangle), and the width of the rectangle is the thickness of the disk.
  - V1 = ∫[0 to 5] π(1^2)dx = π∫[0 to 5] dx = π[5-0] = 5π cubic units

2. Rectangle with height 2 units:
  - The radius of the disk is 2 (height of the rectangle), and the width of the rectangle is the thickness of the disk.
  - V2 = ∫[5 to 7] π(2^2)dx = 4π∫[5 to 7] dx = 4π[7-5] = 8π cubic units

3. Rectangle with height 3 units:
  - The radius of the disk is 3 (height of the rectangle), and the width of the rectangle is the thickness of the disk.
  - V3 = ∫[7 to 8] π(3^2)dx = 9π∫[7 to 8] dx = 9π[8-7] = 9π cubic units

Now, add up the volumes of the three solids:
Total volume = V1 + V2 + V3 = 5π + 8π + 9π = 22π cubic units

The volume of the resulting solid, in simplest form in terms of π, is 22π cubic units.

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Answer:

excfvgbhnj

Step-by-step explanation:

D. y + 5 = - (x - 5 )

Answer:

D

Step-by-step explanation:

The quotient of n and 8 is \(\frac{n}{8}\) and 13 more than this is

\(\frac{n}{8}\) + 13 → D

Step-by-step explanation:

x = -1, y = 4 We know that, the equation of perpendicular form is x/a + y/b = 1, -1/a + 4/b = 1, -1b + 4a/ab = 1, -1b + 4a = ab, 4a - 1b = ab

Answer:

1

Explanation and Check part below

Explanation and Check part belowHope this helps :)

Step-by-step explanation:

2 - 1 = 1

Check:

1 + 1 = 2

2 = 2

True statement.

One way to tell if (x + 5) is a factor of the polynomial P(x) = x^3 + 7x^2 - 5x - 75 is to use the Remainder Theorem. We can plug in -5 for x in the polynomial P(x) and evaluate it. If the result is zero, then (x + 5) is a factor of P(x).

However, we do not need to decide if (x + 5) is a factor of P(x) in this question.
Hi! I'd be happy to help you with your question. To check if (x + 5) is a factor of the polynomial P(x) = x^3 + 7x^2 - 5x - 75, you can use the Factor Theorem.

The Factor Theorem states that if (x - c) is a factor of a polynomial P(x), then P(c) = 0. In this case, we have (x + 5), which can be written as (x - (-5)). So, we have c = -5.

To apply the Factor Theorem, evaluate P(-5) as follows:

P(-5) = (-5)^3 + 7(-5)^2 - 5(-5) - 75

If P(-5) = 0, then (x + 5) is a factor of the polynomial P(x). If P(-5) ≠ 0, then (x + 5) is not a factor of P(x). Remember, you do not need to decide if (x + 5) is a factor of P(x), but this is the method you would use to check.

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F value can be calculated by dividing the mean square regression (MSR) by the mean square error  (MSE).MSR/ MSE = F-value

In this question, we are given MSR = 60 and MSE = 20.So, the calculated F value is F = Mean square regression/Mean square error = 60/20 = 3.

Hence, option C (3) is correct.5. Based on the information provided, we have the slope of the estimated regression line, and the estimated standard deviation of b for independent variable 1 as slope = - and estimated standard deviation of b = 4.For independent variable 2, the slope of the estimated regression line is 3 and estimated standard deviation of b = So-1.

Since the question is asking the calculated value for independent variable 1, we are given that the slope of the estimated regression line is -, and the estimated standard deviation of b is 4. So, we cannot calculate the calculated value for independent variable 1.Therefore, the answer is option D (Not enough information given to answer this question).

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The equation that represents the amount of lemonade left in the pitcher will be.(18.5 - 6.4) = 12.1

From the information given, Maikel has a pitcher filled with 18.5 ounces of lemonade and she pours 6.4 ounces into a glass for herself.

Therefore, the equation that represents the amount of lemonade left in the pitcher will be:

= Total amount - amount poured

= 18.5 - 6.4

= 12.1

Therefore the amount left will be 12.1 ounches

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Answer:Right

Step-by-step explanation:

Positive on the graph is right have a great day hope this helps!!

Answer:

The measure of the indicated angle to the nearest degree is 68°

Step-by-step explanation:

hope it helps

Ellen's house is 903.8 feet farther away from Haley's house than Dirk's house, to the nearest whole foot.

To compare the distances between Haley's house and her friends' houses, we need to convert the distances to a common unit of measurement. In this case, we can convert Ellen's distance from miles to feet, since Dirk's distance is already in feet.

To convert 1.41 miles to feet, we can use the conversion factor 1 mile = 5,280 feet:

1.41 miles * 5,280 feet/mile = 7,450.8 feet

Therefore, Ellen's house is 7,450.8 feet away from Haley's house, and Dirk's house is 6,547 feet away.

To determine which house is farther away, we can simply compare their distances. Since Ellen's house is farther away than Dirk's house, we can subtract their distances to find the difference:

7,450.8 feet - 6,547 feet = 903.8 feet

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Complete question is:

Haley measured the distances between her house and two of her friends' houses. ellen's house is 1.41 miles away from haley's, and dirk's house is 6,547 feet away from haley's. whose house is farther away from haley's, and how many feet farther away is it, to the nearest whole foot?

Use the conversion factor of 1 mile = 1.60934 kilometers to convert miles to kilometers.

Converting miles to kilometers is easily done by using the conversion factor of 1 mile = 1.60934 kilometers. To convert a certain number of miles to kilometers, simply multiply the number of miles by the conversion factor.

For example, to convert 10 miles to kilometers, you would multiply 10 by 1.60934, resulting in 16.0934 kilometers.

Another way to convert miles to kilometers is to use a conversion calculator or a conversion table. These can be found online, in books or on your smartphone, and they are especially useful when you need to convert large numbers or when you need to convert measurements on a regular basis.

Finally, you can also use the following formula: miles * 1.60934 = kilometers.It's important to be aware of the units of measurement when working with distances, especially when traveling or planning a trip.

Knowing how to convert miles to kilometers can be helpful in many situations, such as when reading a map or a GPS device or when calculating the distance between two places.

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Let's call the cost of the dryer "x".

We know from the problem that the washer costs $68 less than the dryer, so the cost of the washer would be "x - 68".

The problem also tells us that the combined cost of the washer and dryer is $782. So we can set up an equation:

x + (x - 68) = 782

Simplifying this equation, we get:

2x - 68 = 782

Adding 68 to both sides, we get:

2x = 850

Dividing both sides by 2, we get:

x = 425

So the dryer costs $425.

Diversified Citrus Industries will sell Zap to wholesalers at a price of $0.035 per 8-ounce can. The contribution per unit for Zap is -$0.205, indicating potential profitability issues.

a. To determine the price at which Diversified Citrus Industries will be selling its product to wholesalers, we need to consider the suggested retail price, the unit variable costs, and the desired margins for retailers and wholesalers. The suggested retail price to the consumer for the 8-ounce can is $0.05. The unit variable costs for the product are $0.18 for materials and $0.06 for labor. The company intends to give retailers a margin of 20% off the suggested retail price and wholesalers a margin of 10% of the retailer's cost.

Price to Wholesalers = Suggested Retail Price - Retailer's Margin - Wholesaler's Margin

Price to Wholesalers = $0.05 - ($0.05 * 20%) - ($0.05 * 10%)

Price to Wholesalers = $0.05 - $0.01 - $0.005

Price to Wholesalers = $0.035

Therefore, Diversified Citrus Industries will be selling its product to wholesalers at a price of $0.035 per 8-ounce can.

The contribution per unit for Zap can be calculated by subtracting the unit variable costs from the selling price to wholesalers:

Contribution per Unit = Price to Wholesalers - Unit Variable Costs

Contribution per Unit = $0.035 - ($0.18 + $0.06)

Contribution per Unit = $0.035 - $0.24

Contribution per Unit = -$0.205

Since the contribution per unit is negative, it means that the variable costs exceed the price to wholesalers. This suggests that the product may not be profitable in its current pricing and cost structure.

The break-even unit volume in the first year can be calculated by dividing the fixed overhead costs by the contribution per unit:

Break-even Unit Volume = Fixed Overhead Costs / Contribution per Unit

Break-even Unit Volume = $90,000 / (-$0.205)

However, since the contribution per unit is negative, the break-even unit volume cannot be determined using this approach.

The first-year break-even share of the market cannot be determined based on the information provided. The total market size and the expected sales volume of Zap are not specified, making it impossible to calculate the market share at the break-even point.

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Answer:

so

Step-by-step explanation:

Let's call the length of each of the other two sides x. Since the triangle is isosceles, it has two sides of equal length. Therefore, the perimeter of the triangle can be expressed as 6 + x + x Simplifying this equation, we get 2x + 6 We know that the perimeter is 22 cm so we can set up an equation and solve for x. 22 = 2x + 6 Subtracting 6 from both sides, we get 16 = 2x Dividing both sides by 2, we get x=8

Answer:

Approximately 3.6

Step-by-step explanation:

     The three main trigonometric ratios are: sine (o/a), cosine (a/h), or tangent (o/a) depending on the given. Then, there are your inverses. But for this problem, we are going to stick to one of the three. To help you remember them, you can use the saying SOH CAH TOA, which is sin = opposite/hypotenuse, cosine = adjacent/hypotenuse, and tangent = opposite/ajacent.

     In this problem, we are going to use one that does not have a hypotenuse, since it was not given. So, that rules out sine and cosine, and leaves us with tangent, then we just need to set up the trigonometric ratio:

tan (50) = x/3

Then, you need to get x by itself, so you multiply 3 on each side, which leaves you with:

x = tan(50) * 3 = 3.6 (approximately)

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

Given,

The mean number of days that the midge Chaoborus spends in its larval stage = 14.1 days

Standard deviation = 2.2 days

We have to find the z-score for an individual midge that spends 12. 7 days in its larval stage;

Now,

z score = (x - μ) / σ

Here,

x = 12.7

Mean, μ = 14.1

Standard deviation, σ = 2.2

Then,

z score = (x - μ) / σ = (12.7 - 14.1) / 2.2 = -0.636

That is,

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

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Answer: 125 centimeters

1,250 millimeters

Step-by-step explanation:

'centi' means hundred. 100 centimeters go into a meter.

'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.

Answer:

3/25

Step-by-step explanation:

0.12 multiplied by 100 equals 12

which means 12/100 is 0.12

now simplify

6/50

3/25

Answer:6/8

Step-by-step explanation: 4+2=6. Which is the numerator. 5+3=8. So the answer is 6/8.

Answer:

a = 10

Step-by-step explanation:

Multiply both sides by 12

\(\frac{a}{12}\) = \(\frac{5}{6}\)

\(\frac{12a}{12}\) which cancels out because it's 1

\(\frac{5 * 12}{6}\) = \(\frac{60}{6}\)

a = 10

(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).Option C is correct.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

⇒-8(x+13)=2(x-7)+4x

⇒-8x-13×8 = 2x-2×7+4x

⇒-8x-104=2x-14+4x

⇒-8x-104=6x-14

(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).

Hence, option C is correct.

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Answer:

Step-by-step explanation:

Hii!

=====================================

\(\leadsto\mid\boldsymbol{-Answer-}\mid\gets\)

Distance =

\(\leadsto\mid\boldsymbol{-Explanation-}\mid\gets\)

Use the distance formula, which is.

\(\sf d=\sqrt{(x2-x1)^2+(y2-y1)^2}\)

Plug in the values.

\(\sf d=\sqrt{(4-2)^2 +(5-3)^2\)

Simplify.

\(\sf d=\sqrt{2^2+2^2}\)

Simplify.

\(\sf d=\sqrt{8}\).

Decimal Form. 2.828427...

Great job!

--

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}\)

--

Answer:

Distance = 2√2 units

Step-by-step explanation:

Distance = ?

Solution:

Use distance's formulae:

\( \rm \: D =\sqrt{(x_2 -x_1)^2 +(y_2-y_1)^2}\)

Substituting them,we obtain

Hence,the distance is 2√2 units.