simplify by combining like terms: 7- (6x+3)

Answer:

June Financial Reports

a) Cost of goods available for sale = $5,250

b) Moving-Average unit cost for:

i) June 1:  = $5

ii)        12:  = $4.75

iii)       15: = $4.75

iv)      23:  = $5.75

v)       27:  = $5.25

Step-by-step explanation:

a) Calculations:

Date     Explanation   Units     Unit Cost    Total Cost   Moving Average Cost

June 1 Inventory          150        $4                $600         $4.000

      12 Purchase         450          5               2,250            4.750

      15 Sale                 500          7                      3,500     4.750

     23 Purchase         400          6               2,400            5.750

     27 Sale                 420          8                      3,360     5.250

     30 Inventory           80

Cost of goods available for sale = Cost of Beginning Inventory + Cost of Purchases = $5,250 + ($600 + 2,250 + 2,400)

b) Moving-Average unit cost for:

i) June 1: Cost of goods available/Units of goods available = $5 ($600/150)

ii)        12: Cost  of goods available/Units of goods available = $4.75 ($600 + 2,250/600)

iii)       15: Cost  of goods available/Units of goods available = $4.75 ($475/100)

iv)      23: Cost of goods available/Units of goods available = $5.75 ($475 + 2,400)/500

v)       27: Cost of goods available/Units of goods available = $5.25 ($420/80)

Answer:

15 = -3(2c + d), right?

So, 15 = -6c - 3d

If we're solving for c, then

-6c = 15 + 3d

c = -(15 + 3d) / 6

I'll keep on editing this answer solve for A, B, C, D, E, and F!

Answer:

D   540

Step-by-step explanation:

5.4 * 10²

5.4 * 100

540

A. Ram spent $18 on six pens and six books. The grand total is $72.

B. The cost of each pen is $9.

C. The variable is called x.

What is an equation?

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Here, we have

Given: the equation 6x + 18 = 72:

A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.

B. The following equation will be used to demonstrate this:

6x + 18 = 72

Compile similar terms.

6x = 72 - 18

6x = 54

On dividing,

x = 54 / 6.

x = $9

Hence, each pen will set you back $9.

C. The variable's value is x = 9.

Hence, the pen's price is 9.

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Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

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

Explanation:

We basically mix red and blue to get purple. The ratio needed is 2 parts red, and 3 parts blue. We can shorten this by writing 2:3

Note how we can double both parts of the ratio to get 4:6, showing that 4 drops of red correspond to 6 drops of blue, which is the answer we want.

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

Another approach:

x = some positive real number

(2 parts red)/(3 parts blue) = (4 parts red)/(x parts blue)

2/3 = 4/x

2x = 3*4 .... cross multiply

2x = 12

x = 12/2 .... divide both sides by 2

x = 6

So 6 drops of blue go with 4 drops of red.

Answer:

\(1.9 \times {10}^{7} meters\)

is the right answer

The area is

9*9 +(81pi)/2=

81+40.5pi=

208.23450

The ordered pair of vertices is ( -1/2, 4) of the feasible set and maximized objective function of 3x + 2y is 7.

To find the vertices of function 3x + 2y, we need to first find the intersection points of the two constraint lines y = -3x + 5 and y = -x + 6, which are the vertices of the feasible set.

Setting the two equations equal to each other, we get:

-3x + 5 = -x + 6

Solving for x, we get:

-2x = 1

x = -1/2

Substituting x = -1/2 into either equation, we get:

y = -3(-1/2) + 5 = 8/2 = 4

So the first vertex is (-1/2, 4).

Next, we can use the given constraint equations to find the remaining vertices of the feasible set:

When y = 0, we have:

0 = -3x + 5

x = 5/3

So the second vertex is (5/3, 0).

When x = 6, we have:

y = -3(6) + 5 = -13

So the third vertex is (6, -13).

Now we can evaluate the objective function 3x + 2y at each of the vertices to determine the maximum value. We have:

3(-1/2) + 2(4) = 7

3(5/3) + 2(0) = 5

3(6) + 2(-13) = 0

Therefore, the maximum value of 3x + 2y is 7, which occurs at the vertex (-1/2, 4).

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_____The given question is incomplete, the complete question is given below:

For the feasible set determine x and y so that the objective function 3x + 2y is The vertices of the feasible set are maximized (Use a comma to separate answers as needed. Type an ordered pair.) The value of x is 6 The value of y is O y=-3x+5 y = -x + 6 feasible set.

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Step-by-step explanation:

To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due ($32,000)

- PMT is the monthly payment we want to find

- r is the annual interest rate (7.9%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**

Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.

The factor by which the original sample would have to be multiplied in order to reduce the margin of error to 1% with 95% confidence is 10.

Sample size calculation requires a few key pieces of information, including the most conservative estimate of the sample proportion, the desired margin of error and the desired confidence level. To calculate the sample size, the formula is \(n = (z-score)^2 * p * (1 - p) / margin of error^2.\)

For this example, the most conservative estimate of the sample proportion is assumed to be 0.5, the desired margin of error is 1%, and the desired confidence level is 95%. Using these values, the sample size calculation is \(n = (1.96)^2 * 0.5 * (1 - 0.5) / 0.01^2\), which equals 96.

To reduce the margin of error to 1%, the original sample size would have to be multiplied by a factor of 10. This value can be calculated by comparing the sample size calculation with the desired margin of error, \(n = (1.96)^2 * 0.5 * (1 - 0.5) / 0.001^2\), which is equal to 960. Thus, the factor by which the original sample would have to be multiplied in order to reduce the margin of error to 1% with 95% confidence is 10.

The factor by which the original sample would have to be multiplied in order to reduce the margin of error to 1% with 95% confidence is 10.

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The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Answer:

I think it is 60

Step-by-step explanation:

because if you multiply 12 and 5 you get 60

Answer:

A.60

Step-by-step explanation:

12 multiplied by 5 will give you 60. since there are 12 in each layer and 5 layers in total this looks like you would multiply.

Answer:

2 dogs

Step-by-step explanation:

10-4+3-7

6-4

2

Answer: 2 dogs

Step-by-step explanation:

QUESTION WHO KILLS AND EATS DOGS?????

Hello !

68/17 = 4

=> yes for 68

84/17 = 4.941...

=> no for 84

357/17 = 21

=> yes for 357

1001/17 = 58.882...

=> no for 1001

Answer: 27

Step-by-step explanation:

Use PEMDAS (Parenthesis,Exponents,Multiplication,Division,Addition,Subtraction)

to solve this problem. First multiply 5 times 4 to get 20. Then divide 14 by 2 to get 7. Lastly, add those two answers to get 27 as the final answer.

Answer:

The tip amount will be $6.60 for a grand total of $39.60.

Step-by-step explanation:

1. You can easily determine 10% by moving the decimal place right by one. $33.00 -> $3.30; this is 10%

2. Multiply by two (2) to change the percentage from 10% to 20%; $3.30 * 2 = $6.60

3. To determine complete amount, add the original amount: $33.00 + $6.60 = $39.60.

Answer:

The upper bound is 399.5

Step-by-step explanation:

Let's start by calculating the mean value of the distribution as the addition of all values given divided by 12:

Average = 289.75.

If the standard deviation is 56, then the upper bound in 95% the confidence interval for the mean price of the phones is going to be given by the mean value added to 56 times 1.96 (since 95% of the population is withing 1.96 times the standard deviation)

That is: 289.75 + 56 * 1.96 = 399.51

which rounded to one decimal place gives: 399.5

Answer:

Constant of proportionality,  

Step-by-step explanation:

Constant of proportionality states that the constant value of the ratio of two proportional quantities x and y,

it is written in the form of y = kx, where k is the constant of proportionality.

Given the equation:                         .....[1]

where r is the constant of proportionality.

From the table we consider

x = 14 and y = 1.4

Substitute these given values in [1] to solve for r;

Divide both sides by 14 we get;

therefore, the Constant of proportionality,  

The value of x is 33.2

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also the ratio of corresponding sides of similar triangles are equal.

Therefore;

Triangle EHG and EFG are similar

39/36 = 36/x

36 × 36 = 39x

39x = 1296

divide both sides by 39

x = 1296/39

x = 33.2

Therefore the value of x is 33.2

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Answer:

Length = 18 inches

Width = 12 inches

Step-by-step explanation:

Let the Length be 3x and width be 2x

Area= Length*Width=216 inches squared

216=3x*2x

216=6x²

x²=216/6

x²=36

x=√36

x=6 inches

Therefore

Length = 3x = 3*6 = 18 inches

Width = 2x = 2*6 = 12 inches

Answer:

x>20/7

Step-by-step explanation:

It's simple math, make sure to mark me brainliest!

Answer: B

Step-by-step explanation:

\((5x^2 -x-3)(2x+6)\\\\=2x(5x^2 - x-3)+6(5x^2 - x-3)\\\\=10x^3 - 2x^2 - 6x+30x^2 - 6x-18\\\\=\boxed{10x^3 +28x^2 - 12x-18}\)

The likelihood that x exceeds 35 is around 0.9822, or 98.22%.

How probable something is to happen is determined by its probability. The probability is computed by dividing number of possible outcomes by the number of possible ways the event might occur.

For a randomly distributed variable with mean Equal 50 with standard deviation = 7, we may use the conventional normal distribution table, commonly referred to as the Z-table, to determine the likelihood that x > 35.

The Z-score is obtained by first standardizing the variable x by removing the mean and subtracting the standard deviation.

(x - µ) / σ = (35 - 50) / 7 = -2.14

This means that x = 35 is 2.14 standard deviations below the mean.

Now, we can use the Z-table to find the probability of a Z-score less than -2.14.

The probability P(x > 35) is equal to 1- P(x < 35) = 1 - P(Z < -2.14) =1-0.0178 = 0.9822.

Therefore, the probability that x is greater than 35 is approximately 0.9822 or 98.22%.

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Answer:

12,000 containers

Step-by-step explanation:

Given : 200 milk cartens are there

60 milk cantainers are there in each cartens.

to find are there in all

200 × 60 = 12,000 containers in all