6.4x+2.3=47.1 solve for x.

Answer:

Step-by-step explanation:

Let x be the number of pants and y be the number of shirts

x + y = 6

20x + 15y = 100

multiply the first equation by -20

-20x -20y = -120

20x + 15y = 100

subtract the equations

-5y = -20

y = 4

replace y in equation 1

x + 4 = 6

x = 2

Answer:

25% increase

Step-by-step explanation:

Percentage increase = \(\frac{100-80}{80} * 100=\frac{20}{80} * 100 = 25%\)

The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= \(\$165,000 / (1 - 0)\)

= \(\$165,000\)

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by  \(\$69,000\).

Therefore:

\(\triangle Working Capital = \$69,000\)

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=\(\$165,000 + 0 - 0 +\ $69,000\)

=\(\$234,000\)

Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= \(\$686,000 - \$332,000 - \$65,000\)

=\(\$289,000\)

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)

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According to the question we get the following outputs For x = 0, g(0) = 0 , For x = 2, g(2) = 4 , For x = 4, g(4) = 8. the range of the function g(x) = 2x, with the given domain {0, 2, 4}, is {0, 4, 8}.

The range of the function g(x) = 2x, with the given domain {0, 2, 4}, can be determined by evaluating the function for each value in the domain.

For x = 0: g(0) = 2(0) = 0

For x = 2: g(2) = 2(2) = 4

For x = 4: g(4) = 2(4) = 8

Therefore, the range of the function is {0, 4, 8}.

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B. The statement is false. The transpose of the product of two matrices is the product of the transposes of the individual matrices in reverse order, or (AB)^T=B^TA^T.

Justification:
1. Let A and B be arbitrary matrices for which the product AB is defined.
2. To find the transpose of the product (AB)^T, we need to first understand the properties of transposes.
3. According to the property of transposes, (AB)^T is equal to the product of the transposes of the individual matrices in reverse order.
4. So, (AB)^T = B^TA^T, which contradicts the statement (AB)^T = A^TB^T.

Hence, the correct answer is option B.

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The probability of getting a sum greater than 6 is 7/12, while the probability of getting a sum between 5 and 8 is 5/9. The odds of getting a 3 or 10 are 1:1. The probability of getting an even sum is 1/2, and the probability of getting a specific sum (not specified) is higher with a probability of 5/36.

To calculate the probabilities, we need to consider all the possible outcomes when rolling two dice. Each die has six sides, numbered 1 to 6. The sum of the dice results ranges from 2 to 12.

a) P(sum > 6): To find the probability of the sum being greater than 6, we consider the outcomes where the sum is 7, 8, 9, 10, 11, or 12. There are a total of 36 possible outcomes, and out of these, 21 outcomes satisfy the condition (7, 8, 9, 10, 11, and 12). Therefore, P(sum > 6) = 21/36 = 7/12.

b) P(between 5 and 8 inclusive): To find the probability of the sum being between 5 and 8 (inclusive), we consider the outcomes 5, 6, 7, and 8. Out of the 36 possible outcomes, 20 outcomes satisfy the condition (5, 6, 7, and 8). Therefore, P(between 5 and 8 inclusive) = 20/36 = 5/9.

c) Odds in favor of 3 or 10: To find the odds in favor of 3 or 10, we consider the favorable outcomes (3 and 10) versus the unfavorable outcomes (all other sums). The favorable outcomes are 3 and 10, and there are two unfavorable outcomes (2 and 12). Therefore, the odds in favor of 3 or 10 are 2:2 or 1:1.

d) P(even sum): To find the probability of getting an even sum, we consider the outcomes 2, 4, 6, 8, 10, and 12. Out of the 36 possible outcomes, 18 outcomes satisfy the condition (2, 4, 6, 8, 10, and 12). Therefore, P(even sum) = 18/36 = 1/2.

e) To determine if it is better for a gambler to roll a 6 or to roll either a 3 or 4, we compare the probabilities. P(rolling a 6) = 5/36, and P(rolling a 3 or 4) = 6/36. Since 6/36 is greater than 5/36, it is better for the gambler to roll either a 3 or 4.

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First to Answer:

The triangle would be a cute Scalene Triangle!

Here's all that you really can do with solving that

√28 =5.29150262213

√8 = 2.82842712475

Side a = 2.8

Side b = 5

Side c = 5.2

Angle ∠A = 31.788° = 31°47'18" = 0.55481 rad

Angle ∠B = 70.167° = 70°10'0" = 1.22464 rad

Angle ∠C = 78.045° = 78°2'42" = 1.36214 rad

Area = 6.84817

Perimeter p = 13

Semiperimeter s = 6.5

Height ha = 4.89155

Height hb = 2.73927

Height hc = 2.63391

Median ma = 4.9051

Median mb = 3.34515

Median mc = 3.10805

Inradius r = 1.05357

Circumradius R = 2.65764

Vertex coordinates: A[0, 0] B[5.2, 0] C[4.25, 2.63391]

Centroid: [3.15, 0.87797]

Inscribed Circle Center: [3.7, 1.05357]

Circumscribed Circle Center: [2.6, 0.55051]

The correct statement regarding the maximum values of the quadratic functions is given as follows:

Function 1 has the larger maximum at (4, 1).

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

The x-coordinate of the vertex of a quadratic function is given as follows:

x = -b/2a.

Hence, for each function, the x-coordinate of the vertex is given as follows:

Each function has a negative leading coefficient, hence the vertex represents a maximum value, and the y-coordinate is given as follows:

1 > -14, hence the correct statement is given as follows:

Function 1 has the larger maximum at (4, 1).

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Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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i apologize it looks sloppy

Answer:

Step-by-step explanation:

Given functions

and

Comparing the vertex of the functions (the minimum), we see that:

Correct option is c)

Two times the quantity of the difference m and n is equation to x more than 7

By using  1-PsiTarget(H15, 500) we compute the probability of cell H15's value exceeding 500 in a spreadsheet simulation.

PsiTarget is a function commonly used in spreadsheet simulation software to calculate probabilities.

The first argument (H15) specifies the cell you want to calculate the probability for.

The second argument (500) represents the target value you want to compare against.

The PsiTarget function returns the probability of the cell's value being less than or equal to the target value.

By subtracting this probability from 1, you get the probability of the cell's value exceeding the target value.

Therefore, the correct formula to compute the probability of cell H15's value exceeding 500 is 1-PsiTarget(H15, 500).

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Answer: 1 tablespoon

Step-by-step explanation:

Answer:

PS = 20 cm

Step-by-step explanation:

CD:AD = 1:4 ratio

They are similar triangles so the same ratio applies

1:4 = 5:?

? = 20

Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.

Anders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.

To find out how much of each ingredient he uses, we can use the following steps:

1. Add the ratios together: 1 + 2 + 8 = 11

2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73

3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:

Sugar: 1 x 72.73 = 72.73g

Butter: 2 x 72.73 = 145.46g

Flour: 8 x 72.73 = 581.84g

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The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).

Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.

In the given graph, the plane intercepts are:

x-intercept : 1

y-intercept : ∞  (since the planes does not intercept y-axes)

z-intercept = 1/2

Take the reciprocal:

1/1 = 1

1/∞ = 0

1/(1/2) = 2

Hence, the miller indices are (102)

The graph in your question is missing. Most likely it was like on the attached picture.

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Check the picture below.

Answer:

x=10 and y=4

Im not sure if this is correct but I looked it up and it said it was right

Answer:

(if you're looking for intercepts then: x = 10, y = -4)

Step-by-step explanation:

\(\sf{2x - 5y = 20\)

\(\sf{Finding~x:\)

\(2x - 5y = 20\)

     \(+ 5y = + 5y\)

↪ 2x = 5y + 20

\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)

\(\sf{Finding~y:}\)

\(2x - 5y = 20\)

\(-2x~ = ~~~~-2x\)

↪ -5y = -2x + 20

\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)

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

Hope this helps!

Answer: A, C, 57

Step-by-step explanation:

I multiply by 0.40 for the first one, and then multiply by 1.0625. 0.40 = 40% and multiplying by 1.0625 is the same as adding 6.25%. For the second, I multiply by 0.70 because that is 70%. For the last, I multiply by 0.95 for the same reason.

The derivative of y = \(3ln(8/x)\) with respect to x is \(du/dx = -8/x^2.\)

To find the derivative of y with respect to x, we need to use the chain rule:

\(y = 3 In (8/x)\\y' = 3 * (d/dx) In (8/x)\)

Now we need to use the chain rule on In (8/x):

\((d/dx) In (8/x) = (1/(8/x)) * (-8/x^2)\)

Simplifying:

\((d/dx) In (8/x) = -1/x\)

Substituting back into y':

\(y' = 3 * (-1/x) = -3/x\)

For y=c In u, u is the argument of the natural logarithm in the expression c In u.

In other words,\(u = e^(y/c).\)

To find du/dx, we can use implicit differentiation:

\(u = e^(y/c)\)

Taking the natural logarithm of both sides:

In\(u = (1/c) * y\)

Differentiating both sides with respect to x:

\((d/dx) In u = (1/c) * (dy/dx)\)

Using the chain rule on the left side:

\((1/u) * (du/dx) = (1/c) * (dy/dx)\)

Solving for du/dx:

\(du/dx = (c/u) * dy/dx\)

Substituting u = e^(y/c) and multiplying by c/c:

\(du/dx = (c/e^(y/c)) * dy/dx = (c/u) * dy/dx\)

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The value of constant a is 2.45.

To find the value of the constant a, we need to make sure that the pdf (probability density function) is properly normalized. The pdf must satisfy the following property:

∫[a, ∞] f(x) dx = 1

In this case, we have pdf:

∫[a, ∞] (12/x^3) dx = 12∫[a, ∞] (1/x^3) dx

= 12 [-1/(2x^2)]ₐ∞

= 12 * (1/(2a^2))

= 6/ a²

Therefore, to ensure that the integral is equal to 1, we need:

6/ a² = 1

Solving for a:

a^2 = 6

a = ±√6

Since x is always positive, we have a = √6 ≈ 2.45.

So, the constant a is equal to 2.45.

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Brainly is erroneously preventing my response from being posted due to nonexistent profanity or links. So, I have converted my answer into an image file, which I have attached. I also attached an annotated diagram of the figure in the image you posted. Please let me know if you have trouble accessing either. Hope this helps.  

The actual length of the living area is 134.4 feet if the length in the scale drawing is 16.8 in the scale.

To determine the actual length of the living space from a scale drawing, we need to use the scale factor, which is the ratio of the length in the drawing to the actual length. If the length in the scale drawing is 16.8 inches and the scale is given as a ratio of 1 inch in the drawing to 8 feet in actual size, we can set up a proportion:

1 inch (drawing) / 8 feet (actual)

= 16.8 inches (drawing) / x (actual)

We can cross-multiply and simplify to find x's value:

1 inch × x = 8 feet × 16.8 inches

x = (8 feet × 16.8 inches) / 1 inch

x = 134.4 feet.

Therefore, the actual length of the living space is 134.4 feet.

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Answer:

The answer is A

Step-by-step explanation:

7^2=49 10^2=100

49+100 = 149

sqrt(149)

Answer:

A) \(\sqrt{149}\)

Step-by-step explanation:

Pythagorean Theorem: \(c^{2}\) = \(a^{2}\) + \(b^{2}\)

c² = a² + b²

c² = 7² + 10²

c² = 49 + 100

c² = 149

c = \(\sqrt{149}\)

Answer:

260

Step-by-step explanation:

when u try to find y u don't calculate x so u remove the x

-30+ 290 =260

y=260

Answer:

Just divide the 5 and 3 to get 1.6, meaning he will use 1.6 pounds per house.

Step-by-step explanation:

Answer:

0.6 pounds of nails

Step-by-step explanation:

3/5=0.60

Answer:

\(-\frac{6}{100}\)

Step-by-step explanation:

Well first 0.06 is equal to \(\frac{6}{100}\) since 6÷100 is 0.06.

Now since it's actually -0.06, then we get \(-\frac{6}{100}\)

Answer:0.06 but positive

Step-by-step explanation:

Yes, quadrilateral ABCD is a parallelogram.

What are the properties of parallelogram?

A parallelogram is a particular sort of polygon. It is a quadrilateral in which the opposite side pairs are parallel to one another.

Properties:

1. Opposite sides are congruent.

2. Opposite angels are congruent.

3. Consecutive angles are supplementary.

4. If one angle is right, then all angles are right.

5. The diagonals of a parallelogram bisect each other.

6. Each diagonal of a parallelogram separates it into two congruent

It is given that the coordinates of the vertices of quadrilateral ABCD are A (8, -3), B(-2, 1), C (-4,-4), and D(6, -8).

According to distance formula,

If A(a,b) and B(x,y) are two coordinates then

AB = \(\sqrt{(x-a)^{2}+(y-b)^{2}}\)

Now, using this distance formula in quadrilateral ABCD

AB = \(\sqrt{(-2-8)^{2}+(1+3)^{2}}= \sqrt{(-10)^{2}+(4)^{2}}=\sqrt{100+16}=\sqrt{116}\)

CD = \(\sqrt{(6+4)^{2}+(-8+4)^{2}}=\sqrt{10^2+(-4)^2}=\sqrt{100+16}=\sqrt{116}\)

Now, If we have two coordinates A(a,b) and B(x,y) then

Slope of AB = \(\frac{y-b}{x-a}\)

Using this formula , finding slope of AB and CD of quadrilateral ABCD we get ,

Slope of AB = \(\frac{1+3}{-2-8}=\frac{4}{-10}=\frac{2}{-5}\)

Slope of CD = \(\frac{-8+4}{6+4}=\frac{-4}{10}=\frac{-2}{5}\)

As slope of both AB and CD is equal therefore, we can say that AB and CD are parallel.

As AB = CD and AB is parallel to Cd Therefore, ABCD is a parallelogram as opposite sides of parallelogram are equal and parallel.

Hence, quadrilateral ABCD is a parallelogram.

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