Simplify the expression -4b+8c+12-8b-2c+6

The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

The profit is $15 million when revenue is $25 million

Step-by-step explanation:

The formula of the profit is P = R - E, where

If a company’s expenses were $10 million, wee need to write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) and then find the profit when revenue is $25 million

∵ P is the profit in millions of dollars

∵ R is the revenue in millions of dollars

∵ The expenses E were $10 million

∵ Profit = Revenue - Expenses

∴ P = R - 10

The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

∵ The revenue R = $25 million

∵ P = R - 10

- Substitute the value of R in the equation

∴ P = 25 - 10

∴ P = 15

∴ The profit is $15 million

The profit is $15 million when revenue is $25 million

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Answer:

Gerry will need to knit 135 stitches wide and 351 rows long for make a scarf that is 18 inches wide and 36 inches long.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Measures of the gauge swatch = 4 inches * 4 inches

Number of stitches wide of the gauge swatch = 30

Number of rows long of the gauge swatch = 39

2. How many stitches wide will she need to knit in order to make a scarf that is 18 inches wide and 36 inches long?

Using Rule of Three Simple we can found that value, this way;

Number of stitches wide for 18 inches wide = (18 * 30)/4

Number of stitches wide for 18 inches wide = 540/4 = 135

Gerry will need to knit 135 stitches wide for make a scarf that is 18 inches wide.

We can found the same way, the rows long:

Number of rows long for 36 inches long = (36 * 39)/4

Number of rows long for 36 inches long = 1,404/4 = 351

Gerry will need to knit 351 rows long for make a scarf that is 36 inches long.

Answer:

Because it is a rectangle, the area is expressed as A = xy, or length times width.

Because it is next to the river, he only needs to fence three sides, so F = x + 2y.

Knowing the amount of fencing available is 7500m, we get:

7500 = x + 2y        solve for x

x = 7500 - 2y         substitute into the area equation

A = (7500 - 2y)y     distribute

A = -2y2 +7500y

You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875

x = 7500 - 2(1875) = 3750

A = 3750(1875)  = 7,031,250 m2

Step-by-step explanation:

The largest area that can be enclosed is  781250 m²

where

l = length

w = width

The farmer wants to enclose a rectangular plot that borders a river. He is not fencing the side along the river. Therefore,

perimeter = l + 2w

l = 2500 - 2w

Therefore,

area = (2500 - 2w)w

(2500 - 2w)w = 0

w = 0 or 1250

average = 1250 / 2 = 625 meters

Hence, the max area is at w = 625 meters

Therefore,

l = 2500 - 2(625) = 1250

length = 1250 meters

width = 625 meter

Therefore,

area = 1250 × 625 = 781250 m²

Therefore, the largest area that can be enclosed is  781250 m²

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Answer:

$3,750

Step-by-step explanation:

In english:

First we need to calculate the area of the garden. As it is a triangle we calculate the area as:

area = (base*height)/2

The base is 25m and the height 15m, so the area is:

area = 25*15/2 = 187.5 m2

As each m2 costs $20, for the whole cost we need to calculate the product between 187.5 m2 and $20:

cost = 187.5 * $20 = $3,750

Total cost: $3,750

In spanish (en espanol):

Primero necesitamos calcular el área del jardín. Como es un triángulo calculamos el área como:

área = (base * altura) / 2

La base mide 25 my la altura 15 m, por lo que el área es:

área = 25 * 15/2 = 187.5 m2

Como cada m2 cuesta $ 20, para el costo total necesitamos calcular el producto entre 187.5 m2 y $ 20:

costo = 187.5 * $ 20 = $ 3,750

Costo total: $3,750

Answer:

11) x = 11

12) x = 11

Step-by-step explanation:

11) Δ RQP and Δ RLK are similar.

Hence, the ratios of the corresponding sides of the two triangles will be constant.

So, [tex]\frac{RK}{PR} = \frac{RL}{QR}[/tex]

⇒ [tex]\frac{x - 4}{49} = \frac{11}{77}[/tex]

⇒ [tex]\frac{x - 4}{49} = \frac{1}{7}[/tex]

⇒ x - 4 = 7

⇒ x = 11 (Answer)

12) Δ QRS and Δ QDC are similar.

So, [tex]\frac{QD}{QR} = \frac{QC}{QS}[/tex]

⇒ [tex]\frac{2x - 14}{32} = \frac{6}{24}[/tex]

⇒ 2x - 14 = 8

⇒ 2x = 22

⇒ x = 11 (Answer)

Answer:

The total amount of the mortgage is $ 871879.4

Step-by-step explanation:

Given as :

The cost of house = $ 175,000

The first 80% of mortgage amount = 80% of $ 175,000 = 140,000

The second 20 % of mortgage amount =  20% of $ 175,000 = 35,000

The rate of interest for 80 % mortgage = 4.75 %

The rate of interest for 20 % mortgage = 7.525 %

The time period for both mortgage is 30 years

Let The amount at 80 % mortgage = [tex]A_1[/tex]

And The amount at 20 % mortgage = [tex]A_2[/tex]

So, From compounded method

[tex]A_1[/tex] = principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

or, [tex]A_1[/tex] = 140,000 × [tex](1+\dfrac{\textrm 4.75}{100})^{\textrm 30}[/tex]

Or,  [tex]A_1[/tex] = 140,000 × [tex](1.0475)^{30}[/tex]

Or,  [tex]A_1[/tex] = 140,000 × 4.02365

Or, [tex]A_1[/tex] = $ 563311

Again

[tex]A_2[/tex] = principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

or, [tex]A_2[/tex] = 35,000 × [tex](1+\dfrac{\textrm 7.525}{100})^{\textrm 30}[/tex]

Or,  [tex]A_2[/tex] = 35,000 × [tex](1.07525)^{30}[/tex]

Or,  [tex]A_2[/tex] = 35,000 × 8.81624

Or, [tex]A_2[/tex] = $ 308568.4

∴ Total amount A =  [tex]A_1[/tex] +  [tex]A_2[/tex]

I.e A = $ 563311 + $ 308568.4 = $ 871879.4

Hence The total amount of the mortgage is $ 871879.4  answer

Answer:351,226.80

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

A sixth grade silence club needs 180$ to pay for the tickets to a science museum.

1. Suppose there 15 students in the club, then each of them needs to pay

[tex]\dfrac{\$180}{15}=\$12[/tex]

This means each ticket costs $12.

2. Suppose each ticket cost $15, then there are

[tex]\dfrac{\$180}{\$15}=12[/tex] students in the club.

Final answer:

Explains the meaning and interpretations of 180 divided by 15 in the context of purchasing museum tickets for a silence club in a clear manner.

Explanation:

180 divided by 15 in this context means dividing the total amount needed for tickets by the number of equal cost tickets being purchased. Let's interpret this:

Hence, the quotient of 180 divided by 15 is 12, which means either 15 tickets are bought or 12 tickets with the total amount.

Answer:

[tex]m = -6 \ or \ m = -\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{m^2+7m+6}+\frac{m+3}{m^2+7m+6}= \frac{5}{m+6}\\[/tex]

Simplifying the above equation we get:

Step 1: Solving for common denominator term we get;

[tex]\frac{1+m+3}{m^2+7m+6}= \frac{5}{m+6}\\\\\frac{m+4}{m^2+7m+6}= \frac{5}{m+6}[/tex]

Step 2: Multiplying denominators on both side we get;

[tex](m+4)(m+6)=5(m^2+7m+6)\\m^2+6m+4m+24 = 5m^2+35m+30\\m^2+10m+24 = 5m^2+35m+30\\5m^2+35m+30-m^2-10m-24=0\\4m^2+25m+6=0[/tex]

Step 3: Now we need to find the factors of m.

[tex]4m^2+25m+6=0\\4m^2+m +24m+6=0\\m(4m+1)+6(4m+1)=0\\(4m+1)(m+6)=0[/tex]

Step 4: Solving for both terms we get;

[tex]4m+1=0\\4m =-1\\m= - \frac{1}{4}[/tex]

Also,

[tex]m+6=0\\m=-6[/tex]

Hence [tex]m = -6 \ or \ m = -\frac{1}{4}[/tex]

Answer:

10

Step-by-step explanation:

3 3/4=15/4

(15/4)/(3/8)=(15/4)(8/3)=30/3=10

Answer:

Shaneeka live from Phil 7/33 mile far.

Step-by-step explanation:

Given:

Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka.

Now, to get how far does Shaneeka live from Phil.

So, by subtracting the distance from  6/11 mile north where Ben lives from Phil to  1/3 mile north where Ben lives from Shaneeka:

[tex]\frac{6}{11} -\frac{1}{3}[/tex]

[tex]=\frac{6\times 3 -1\times 11}{33}[/tex]

[tex]=\frac{18-11}{33}[/tex]

[tex]=\frac{7}{33}[/tex]

Therefore, Shaneeka live from Phil 7/33 mile far.

Answer:

5 1/12

Step-by-step explanation:

What you should do is find the common denominator for all of these numbers, which is 12.

Now you have to multiply the fraction part so the denominator equals 12.

1*6/2*6= 6/12

3*3/4*3= 9/12

5*2/6*2= 10/12

Now you have to add up all of these numbers

2+6/12+1+9/12+10/12= 3 25/12, which simplified would equal 5 1/12.

Answer:

15 hours of work would both plumbers  charge the same amount of money for the job.

Step-by-step explanation:

Let us assume the number of hours Richard works = m

Per hour charge = $45

So, the charge for working m hours = m x $45 = 45 m ....... (1)

Let us assume the number of hours Spiro works = m

Per hour charge = $35

So, the charge for working m hours = m x $35 = 35 m

Also, the charge for parts = $150

So, total amount Spiro charges  = Cost for m hours  +  Charge for parts

= 35 m + $150 ......  (2)

Now, for m hours as they charge the SAME AMOUNT.

⇒ From (1) and (2), we get

45 m = 35 m + $150

or, 45 m - 35 m = 150

or, 10 m = 150

⇒ m = 150/10 = 15

or, m = 15

Hence, 15 hours of work would both plumbers  charge the same amount of money for the job.

Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.

To determine which balloon was farther from the town at the beginning, we need to compare the initial distances of Henry's and Tasha's balloons from the town. Henry's balloon begins 30 miles from the town, while Tasha's balloon is represented by the function y = 8x + 20, where x is the time in hours. Plugging in x = 0 into the function, we can find that Tasha's balloon was 20 miles from the town at the beginning.

To determine which balloon traveled more quickly, we can compare their speeds. Henry's balloon travels at a constant speed of (48 miles - 30 miles) / 2 hours = 9 miles/hour. Tasha's balloon has a constant speed of 8 miles/hour since it follows the equation y = 8x + 20. Therefore, Henry's balloon traveled more quickly.

Therefore, the correct answer is OC. Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.

Answer:

Multiply i and 8

Multiply i and 1

The i just gets copied along.

The answer is i

i

8*i evaluates to 8i

12+8*i evaluates to 12+8i

The final answer (almost!) is

12+8i

Now, let's simplify the i's to get our final answer:

The i in 8i cannot be simplified, so just leave it as is.

The final answer is

12+8i

Step-by-step explanation:

Option A: SU, TU, ST is the right answer

Step-by-step explanation:

In a triangle

So using the above axioms we can observe the triangle.

So the sides in order from least to greatest are: SU, TU, ST

Hence,

Option A: SU, TU, ST is the right answer

Keywords: Geometry, Triangles

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Answer:

x = 3

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles, thus

BE = ED, that is

4x + 2 = 3x + 5 ( subtract 3x from both sides )

x + 2 = 5 ( subtract 2 from both sides )

x = 3

Since diagonals of rhombus bisect each other,

AC bisects BD into two equal parts

ie,

⇒BE=ED

⇒4x+2=3x+5

⇒4x-3x=5-2

⇒x=3

The correct answer is: D. (A u B)

Step-by-step explanation:

The operations on sets are of two types

1. Union

2. Intersection

In union, the elements of both sets are combined in one set while in intersection only common elements of both sets are considered.

Here,

"all of the elements which are in set A or  B"

This statement means the elements of both sets have to be considered. The word "Or" points to the combination of both sets as an elements belonging to any of the set will be considered. So union operation will be used.

Hence,

The correct answer is: D. (A u B)

Keywords: Sets, Union

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Answer:

x=5, y=8. (5, 8).

Step-by-step explanation:

3x+5y=55

5x+4y=57

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

5(3x+5y)=5(55)

-3(5x+4y)=-3(57)

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

15x+25y=275

-15x-12y=-171

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

13y=104

y=104/13

y=8

3x+5(8)=55

3x+40=55

3x=55-40

3x=15

x=15/3

x=5

Answer:

The distance between the points ( 5 , - 9 ) and ( - 3 , - 1 ) is 4[tex]\sqrt{8}[/tex]

Step-by-step explanation:

Given points as :

Point A = ( 5 , - 9 )

I.e (x_1 , y_1) = ( 5 , - 9 )

Point B = ( - 3 , - 1 )

I.e( x_2 , y_2) =  ( - 3 , - 1 )

Let The distance between points A and B = AB

So From distance formula

Distance AB = [tex]\sqrt{(y_2 - y_1)^{2} + (x_2 - x_1)^{2}}[/tex]

So, Distance AB = [tex]\sqrt{( - 1 + 9)^{2} + ( - 3 - 5)^{2}}[/tex]

Or, Distance AB = [tex]\sqrt{(8)^{2} + (- 8)^{2}}[/tex]

Or, Distance AB = [tex]\sqrt{64 + 64}[/tex]

Or, Distance AB = [tex]\sqrt{128}[/tex]

∴ Distance AB = 4[tex]\sqrt{8}[/tex]

Hence The distance between the points ( 5 , - 9 ) and ( - 3 , - 1 ) is 4[tex]\sqrt{8}[/tex]  Answer

Answer:

8√2

Step-by-step explanation:

delta math gave me the right answer after I got it wrong

Conditions of the binomial distribution include a fixed number of independent trials, each trial having two possible outcomes, and constant probabilities of success and failure. Experiments that do not meet these conditions do not follow a binomial distribution. For example, if the probability of success varies across trials, it's not a binomial distribution.

The binomial distribution has several key conditions, and a statistical experiment is classified as a binomial experiment if it meets these conditions. Some of these conditions include the following:

Therefore a circumstance not meeting these conditions would not fit the binomial distribution. For example, if the conditions for each trial are not consistent, such as the probability of success changes from trial to trial, then it would not be classified as a binomial distribution.

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Answer:

1/4 of the brownies were eaten

there were 1 - 1/4 = 3/4 of brownies left

2/3 of the 3/4 were eat or: (2/3)(3/4) = 1/2 of the whole pan of brownies were eaten

the total of brownies eaten is: 1/4 + 1/2 = (1*1 + 2*1)/4 = 3/4 of the whole pan of brownies were eaten.Step-by-step explanation:

John ate half or 50% of the original whole pan of brownies. This is calculated by multiplying 3/4 (the remaining brownies after 1/4 had been eaten) by 2/3 (the fraction John ate of the remaining amount).

Firstly, the question pertains to the proportion of brownies that were consumed. Initially 1/4 of the brownies were eaten, implying that 3/4 of the brownies were left on the counter. John ate 2/3 of the remaining brownies, so we will calculate 2/3 of 3/4 to determine how much of the whole pan of brownies John ate:

Step 1: Convert 3/4 and 2/3 to decimal points (0.75 and 0.67 respectively).

Step 2: Multiply 0.75 (the remaining brownies) by 0.67 (the fraction that John consumed). This equals approximately 0.50.

Step 3: The result 0.50 implies that John consumed 50% or half of the original brownies amount.

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Answer:

Step-by-step explanation:

[tex]_{\bold{METHOD\ 1}}\\\\\begin{array}{ccc}100\%&-&106\\\\84\%&-&x\end{array}\qquad\text{cross multiply}\\\\\\100x=(84)(106)\\\\100x=8904\qquad\text{divide both sides by 100}\\\\\dfrac{100x}{100}=\dfrac{8904}{100}\\\\x=89.04[/tex]

[tex]_{\bold{METHOD\ 2}}\\\\p\%=\dfrac{p}{100}\to84\%=\dfrac{84}{100}=0.84\\\\84\%\ of\ 106=0.84\cdot106=89.04[/tex]

Answer:

hope it helps :):):)

Step-by-step explanation:

you need to find the common number for both numerator and denominator to multiply to  

the answer will be 72/27

where by multiplying 8 and 3 by 9 gives us 72/27

To find a ratio that forms a proportion with 8/3, a common multiplier needs to be applied. Examples or cross-multiplication can be used to confirm whether two ratios are proportional by comparing products or multipliers.

To determine which ratio forms a proportion with the ratio 8/3, we need to find a common multiplier that can be applied to 8/3 to get the other ratio. A proportion occurs when two ratios are equal to each other after a certain multiplier is applied. To demonstrate this with an example, if we have a ratio of x/y that we want to be proportional to 8/3, we are looking for a multiplier 'k' so that x/y = k*(8/3).

Let's use a concrete example.

If we take the ratio 16/6, we might suspect that this forms a proportion with 8/3.

By finding a common multiplier, we can show this by dividing each part of the second ratio by the corresponding part of the first ratio (16/8 and 6/3) to see if they equal the same number.

In this example, both 16/8 and 6/3 result in the multiplier 2, confirming that 16/6 is proportional to 8/3.

Another way to approach this is to form a cross-multiplication.

If we cross-multiply 8/3 and x/y and both x times 3 and y times 8 yield the same product, then the ratios form a proportion.

For example, 8/3 and 16/6 would form a cross-multiplication of 8*6 and 3*16, both of which are equal to 48, thus confirming the proportionality.

Answer:

5.555.5 im pretty sure

I think it is 5.555.5

5x + 9 = x - 23

move x to the other side

sign changes from +x to -x

5x-x+9= x-x-23 ( combine like terms)

5x-x+9= -23

4x+9= -23

move -9 to the other side

4x+9-9= -23-9

4x= -23-9

4x= -32

divide both sides by 4 to get x by itself

4x/4= -32/4

answer:

x= -8

Answer:

1115 is what I got im pretty sure im right because after I finished I checked my calculator. This is how you get it. You do 5.50 times 200. then you add 15. Simple. :)

Answer:

24.(24)

Step-by-step explanation:

(x+x/10)+x/5=x*24.(24)%

Answer:

G -8, -6, -4, -2

Step-by-step explanation:

integers are ...-2,-1,0,1,2,3 ... and so on but

whole numbers are 1,2,3,4,5,6 ... so on

so the only one thats right is the negative numbers

Answer:

(0,-7/5)

Step-by-step explanation:

2x^2+8x=x-3x^2

2x^2+3x^2=x-8x

5x^2=-7x

5x^2+7x=0

x(5x+7)=0

x=0 or x=-7/5

solution set is (0,-7/5)

Answer:

x=0,x=-1.4

Step-by-step explanation:

[tex]2 {x}^{2} + 8x - x + 3 {x}^{2} = 0 \\ 5 {x}^{2} + 7x = 0 \\ x(5x + 7) = 0 \\ x = 0 \\ \\ 5x + 7 = 0 \\ x = - \frac{7}{5} = -\frac{140}{100} = -1.4[/tex]

The value of x is 2/3.Distributive property states that multiplying the total of two or more addends by a number will produce the same result as multiplying each addend by the number separately and then adding the results together.

Distinguish distributive property?

This property states that multiplying the total of two or more addends by a number will produce the same result as multiplying each addend by the number separately and then adding the results together.

Mathematically, the distributive law, also known as the distributive property, is the rule relating the operations of multiplication and addition. It is denoted by the symbol a(b + c) = ab + ac, which means that the monomial factor an is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab +...

Explanation in detail:

25-(3x+5)=2(x+8)+x \s 25-3x-5=2x+16+x

20-3x=3x+16

20-3x-3x=16

20-6x=16

6x=20-16

6x=4

x=4/6

simplify is x = 2/3 .

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