Mathematics College

What is the simplified expression for –3cd – d(2c – 4) – 4d?
A:–5cd
B:cd – 8d
C:5cd – 8d
D:–5cd – 8d

Answers

Answer 1
–3cd – d(2c – 4) – 4d
= –3cd – 2cd + 4d – 4d
= -5cd

answer
A:–5cd 

Related Questions

Simplify the equation and write the answer without negative exponents

Answers

[tex] \sqrt{200} - \sqrt{32} = \sqrt{2 \times 100} - \sqrt{2 \times 16} = 10 \sqrt{2} - 4 \sqrt{2} = 6 \sqrt{2} [/tex]
[tex]\bf \sqrt{200}-\sqrt{32}\quad \begin{cases} 200=2\cdot 2\cdot 2\cdot 5\cdot 5\\ \qquad 2^2\cdot 2\cdot 5^2\\ \qquad (2\cdot 5)^2\cdot 2\\ \qquad (10)^2\cdot 2\\ 32=2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^2\cdot 2^2\cdot 2\\ \qquad (2\cdot 2)^2\cdot 2\\ \qquad (4)^2\cdot 2 \end{cases}\implies \sqrt{10^2\cdot 2}-\sqrt{4^2\cdot 2} \\\\\\ 10\sqrt{2}-4\sqrt{2}\implies 6\sqrt{2}\implies 6\cdot 2^{\frac{1}{2}}[/tex]

Simplify the expression (1/4ab)^-2.  Assume .

Answers

The Answer is (4ab)^2 or 16a^2b^2

After simplification, the solution is,

⇒ 16a²b²

We have,

The given expression to simplify is,

⇒ (1 / 4ab)⁻²

Now, We can simplify the expression by rule of exponent as,

⇒ (1 / 4ab)⁻²

⇒ (4ab)²

⇒ 4² × a² × b²

⇒ 16a²b²

Therefore, The solution is,

⇒ 16a²b²

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Which Rate Does Not Belong With The Other Three. Explain

60 mi/h
88 ft/s
500 ft/min
1,440 mi/day

Answers

88ft/s

hop this helps

A) a cookie jar contains 8 chocolate chip cookies, 4 peanut butter cookies, and 7 sugar cookies. you reach in (you can't see inside) and withdraw 4 cookies without replacement. what is the probability that you got exactly 2 chocolate chip cookies?

Answers

Divided by 4 after adding the rest up

You are building a new house on a cartesian plane whose units are measured in miles.

Your house is to be located at the point (6,0). Unfortunately, the

existing gas line follows the curve y=√16x^(2)+6x+19.

It costs 300 dollars per mile to install new pipe connecting your house to the existing line.

What is the least amount of money you could pay to get hooked up to the system?

Answers

so.. we'll use the distance formula for it, keeping in mind that, where the line touches the parabola is at (  x  ,  f(x)  ), check the picture below on the left-hand-side

[tex]\bf y=\sqrt{16x^2+6x+19}\\\\ -------------------------------\\\\ L(x)=\left[(6-x)^2+(0-\sqrt{16x^2+6x+19})^2 \right]^{\frac{1}{2}} \\\\\\ L(x)=[36-12x+x^2+16x^2+6x+19]^{\frac{1}{2}} \\\\\\ L(x)=(17x^2-6x+55)^{\frac{1}{2}}\\\\ [/tex]

so, that's L(x) equation for the line, simplified, now, let's check its derivative.

[tex]\bf \cfrac{dL}{dx}=\cfrac{1}{2}(17x^2-6x+55)^{-\frac{1}{2}}(34x-6) \\\\\\ \cfrac{dL}{dx}=\cfrac{1}{2}(17x^2-6x+55)^{-\frac{1}{2}}2(17x-3) \\\\\\ \cfrac{dL}{dx}=\cfrac{17x-3}{\sqrt{17x^2-6x+55}}\\\\[/tex]

now, we get critical points when the derivative is 0, or when the denominator is 0, however (usually cusps or asymptotes), but in this case, we won't check the denominator, because it doesn't yield any, so, we'll just zero out the derivative and see what critical points we get.

[tex]\bf 0=17x-3\implies 3=17x\implies \cfrac{3}{17}=x[/tex]

easy enough, so we only got one point... well, is it a minimum though?

well, running a first-derivative test on the left-region and the right-region of 3/17, we get a negative value on the left and a positive value on the right, that means the original function drops and then goes up, check the picture on the right-hand-side.

So, it's a minimum, those numbers in red in the picture are the ones I used to check it, but any value on the region will work, even -1,000,000, anyway.

so, at 3/17 is at a minimum... now how many miles,  and how much is that?

[tex]\bf f\left( \frac{3}{17} \right)\approx 4.53\qquad \qquad \stackrel{miles}{4.53}\cdot \stackrel{\textit{\$ per mile}}{300}\approx 1360.2[/tex]

A tank whose volume is unknown is divided into two parts by a partition. one side of the tank contains 0.03 m3 of refrigerant-134a that is a saturated liquid at 0.9 mpa, while the other side is evacuated. the partition is now removed, and the refrigerant fills the entire tank. if the final state of the refrigerant is 208c and 280 kpa, determine the volume of the tank.

Answers


 suppose you wanted the tank to hold 100 gallons of water and it was 50 gallons per cubic feet. How many cubic feet would you need? Obviously, 2 cubic feet. How did you get that?? Well, you divided 100 by 50 to get 2.

O.K., now, let's try YOUR problem. 225000 gallons and 7.5 gallons per cubic feet. How many cubic feet do you need? Must be 225,000/7.5 = 30,000 cubic feet

O.K., now we're half way there. we (should) know that the volume of a prism is

l x w x h. We now know the volume must also be 30,000

so l x w x h = 30000
100 x 20 x h = 30000

you should be able to take it from there.

Problem #2

We approach it the exact same way.

It's too hard as stated. Let's make up an easier problem.

suppose 1 gallon took up 5 cubic feet. If you had 10 cubic feet, how many gallons would you have?
well, clearly, you would have 2 gallons. How did you get it?

Now, how many cubic feet in the cylinder? Well you (should) know that the volume of a cylinder is:

Pi r^2h = 3.14 x 25^2 h = 1962.5 h

Now we have a bit of a problem. You didn't tell me how high the tank is. Let us say it is 10 feet.

So, the tank had 19,625 cubic feet.

Go back to the start of this problem and you will know what to do next.

How many tens are in 3,100

Answers

310 
If you divide 3100 by 10 you get 310

Hope I helped (:
...................310

The graph below represents the running schedule of a distance runner, who is increasing the distance she runs each week. What is the distance she will run in the ninth week?

A. 22 miles

B. 21 miles

C. 20 miles

D. 19 miles (My answer???) 

Answers

check the picture below.

Answer: The answer is (D) 19 miles.

Step-by-step explanation:  We are given a graph that represents the running schedule of a distance runner, who is increasing the distance she runs each week. We are to find the distance she will run in the ninth week.

In the graph, the number of week are represented by the X-axis and the distance run is represented by the Y-axis.

Since we are to find the distance run in the ninth week, so we will have to find the value of y when the value of x is 9.

We can see from the graph that when x = 9, then y = 19, as (9, 19) is a point on the graph. So, the distance run in the ninth week is 19 miles.

Thus, (D) is the correct option.

use properties to find 4 times 23 times 25

Answers

The answer to the problem is 2300

Answer:

2300

Step-by-step explanation:

i need help 7th grade 13 + p + - 4 3

Answers

13 + -30 = -43 I think that's it
you first combine like terms.
13+p-43=
-30+p

What is 36 divided by 3/4?

Answers

36 divided by 3/4 is 48.
Answer is 48

Explanation: 36 divided by 3/4

36 4 144
____ x ____ = ____ = 48
1 3 3

^
Flip the denominator to numerator
And numerator to denominator

Also divide 144/3

py+7=6y+q solve for y

Answers

We know that we are solving for y.


This is a step by step procedure to get the value of y.


First: Move all terms to the left side and set equal to zero.


Second: Then set each factor equal to zero.

 

The application is:


Given: py+7=6y+q 


-6y -7 -6y -7 = 0


(p-6)y = q-7



divide both sides by p-6
y=(q-7)/(p-6)


Answer is y = (q – 7) / (p – 6) 

The solution of expression for y as,

⇒ y = (q - 7) / (p - 6)

We have to given that,

An expression is,

⇒ py + 7 = 6y + q

Now, We can simplify the expression for y as,

⇒ py + 7 = 6y + q

Subtract 6y both side,

⇒ py - 6y + 7 = 6y + q - 6y

Subtract 7 both side,

⇒ py - 6y = q - 7

⇒ y (p - 6) = (q - 7)

Divide both side by (p - 6);

⇒ y = (q - 7) / (p - 6)

Therefore, The solution of expression for y as,

⇒ y = (q - 7) / (p - 6)

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The length of a table is 6 feet. On a scale drawing, the length is 2 inches. Write three possible scales for the drawing

Answers

Answer:

The three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.

Step-by-step explanation:

It is given that the length of a table is 6 feet. On a scale drawing, the length is 2 inches.

The scale for drawing is

[tex]Scale=\frac{\text{Length in drawing}}{\text{Actual length}}=\text{Length in drawing}:\text{Actual length}[/tex]

First possible scale for the drawing is

2 inch : 6 feet

It can be written as

1 inch : 3 feet

We know that 1 feet = 12 in

1 inch : 36 inch

We know that 1 feet = 30.48 cm

1 inch : 91.44 cm

Therefore the three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.

The three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.

Here, we have,

It is given that the length of a table is 6 feet. On a scale drawing, the length is 2 inches.

The scale for drawing is

scale = length in drawn/actual length

scale = length in drawn : actual length

First possible scale for the drawing is

2 inch : 6 feet

It can be written as

1 inch : 3 feet

We know that 1 feet = 12 in

1 inch : 36 inch

We know that 1 feet = 30.48 cm

1 inch : 91.44 cm

Therefore the three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.

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A family went on vacation and used 5.4 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they need to travel 200 more miles?

Answers

I would use a ratio
so 5.4 gallons/150 miles = ?gallons/200 miles
so 5.4gallons*200 miles = ?gallons*150 miles
5.4gallons*200miles/150miles = ? gallons
?gallons = 7.2 gallons

7.2 total gallons of gasoline they will need to travel 200 more miles.

What is Distance?

Distance is the total speed of an object. This is regardless of direction. It is also defined as multiplying the speed of an object by the total time taken by the object to travel the length of its path.

Distance = Speed * Time

It's SI unit is metre (m).

It is a scalar quantity which has no direction. It only has magnitude means only value.

For above given example,

For 150 miles 5.4 gallons gas is used

so, for 1 mile 0.036  gallon will be used

So, For more 200 miles= 0.036*200

                                     = 7.2 gallons of gas will be used

Thus, 7.2 total gallons of gasoline they will need to travel 200 more miles.

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Supposed to angles are supplementary and one of them measures 31° what is the measure of the other angle

Answers

the answer is 149 because it is 180-31

On Sunday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?

Answers

Final answer:

The local hamburger shop sold 99 hamburgers on Sunday. This was derived using algebraic equations based on the information provided in the word problem.

Explanation:

The problem provided is a classic case of algebraic translation from a word problem. Given that a local hamburger shop sold a total of 396 hamburgers and cheeseburgers, with the number of cheeseburgers being three times the number of hamburgers, we can solve this problem using simple algebraic equations.

Let's denote the number of hamburgers as H and the number of cheeseburgers as C. We know from the problem that C = 3H and that H + C = 396. We substitute C into the second equation to get H + 3H = 396, which simplifies to 4H = 396.

Finally, divide both sides by 4 to solve for the number of hamburgers: H = 396 / 4 = 99. Thus, the hamburger shop sold 99 hamburgers on Sunday.

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The second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 68 ​feet, what are the lengths of the three​ sides?

Answers

you have x, x + 6, and 2x - 6. Together, they equal 68 feet, meaning that 4x = 68. therefore x = 17 feet. The  lengths would then be 17 ft, 23 ft, and 28 ft.

Answer:  The required lengths of the three sides of the deck are 17 feet, 23 feet and 28 feet.

Step-by-step explanation:  Given that the  second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side.

The perimeter of the deck is 68 ​feet.

We are to find the lengths of the three sides of the deck.

Let x feet be the length of the shortest side.

Then, according to the given information,

the length of the second side = (x+6) feet

and

the length of the third side = (2x-6) feet.

Since the perimeter of the deck is 68 feet, so we must have

[tex]x+x+6+2x-6=68\\\\\Rightarrow 4x=68x=\dfrac{68}{4}\\\\\Rightarrow x=17.[/tex]

Therefore the lengths of the three sides are

  17 feet, (17+6) feet and (2×17-6) feet

= 17 feet, 23 feet and 28 feet.

Thus, the required lengths of the three sides of the deck are 17 feet, 23 feet and 28 feet.

712 ÷ 74 is equal to _____. 13 3 73 78

Answers

Answer:

[tex]\frac{712}{74}=9.62[/tex]

Step-by-step explanation:

Given, [tex]\frac{712}{74}[/tex]

The numerator part means upper value of fraction and upper value of fraction   is called Dividened.

The denomerator part  means lower part of fraction and lower value  of fraction  is called Divisor.

The value obtained  when  the numerator is divided by denomerator is called Quotient.

Now, there is 712 is Dividened  and 74 is Divisor.

Now,after  dividing 712 by 74 we get  quotient value 9.62.

Hence , [tex]\frac{712}{74} =9.62[/tex]

Therefore, the correct answer is 9.62.

Answer:

7^8

Step-by-step explanation:

The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers).2/3

Answers

The slope perpendicular to 2/3, would be -3/2

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

so

[tex]m1*m2=-1[/tex]

In this problem we have

[tex]m1=\frac{2}{3}[/tex]

Substitute in the formula and solve for m2

[tex]\frac{2}{3}*m2=-1[/tex]

[tex]m2=-\frac{3}{2}[/tex]

therefore

the answer is

The slope is equal to [tex]-\frac{3}{2}[/tex]


3
minutes to walk
37.5
meters. What is its speed?

Answers

speed = distance / time
speed = 37.5 / 3 = 12.5 meters per minute <=
12.5 is the anwer 12.5 is the anwer I think

8 ten thousands 4 thousands 3 hundreds 6 tens 7 ones in Standard form

Answers

80,000+4,000+300+60+7

84,367

The standard form is 84,367.

Hope this helps!

The value of each digit in a number is known as the place value.  The given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form is 84,367.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiplied by 10The tenth means the tenth part of that digit which is that digit divided by 10

The given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form can be written as,

8 ten thousand = 8 × 10,000 = 80,000

4 thousand = 4 × 1,000 = 4,000

3 hundred = 3 × 100 = 300

6 tens = 6 × 10 = 60

7 ones = 7

Numbe = 80,000 + 4,000 + 300 + 60 +7 = 84, 367

Hence, the given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form is 84,367.

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The equation 9.95 + 0.30s=c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.

Answers

C= $20.45, you do how many songs multiply that by each song cost and add $9.95

The equation is c = 9.95 + 0.30s. Then the cost of downloading 35 songs will be $20.45.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded.

Then the cost of downloading 35 songs will be given as,

c = 9.95 + 0.30s

c = 9.95 + 0.30 x 35

c = 9.95 + 10.5

c = $20.45

The cost of downloading 35 songs will be $20.45.

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Irrigation improves the yield of strawberries per acre according to the function S=-(w-2)^2 +50 where S is the number of pints of strawberries grown per acre and w is the acre-feet of water used. Strawberries sell for $3 per pint and water costs $5 per acre-foot. Graph the yield function.

Answers

Given:
The yield of strawberries per acre is
S = -(w - 2)² + 50
where
S = number of pints of strawberries per acre
w = acre-feet of water

Strawberries sell for $3 per pint
Water costs $5 per acre-feet.

The yield function is the revenue minus the expenses. It is
Y = (S pints)*($3 per pint) - (w acre-ft)*($5 per acre-ft)
Y = -3(w - 2)² -5w + 150  dollars

A graph of the yield function is shown below.
It indicates that
a) the yield is maximum when the acre-feet is about 1.5;
b) the yield increases between zero and 1.5  acre-feet;
c) the yield decreases quickly when the acre-feet exceed 1.5;
d) the yield vanishes when the acre-feet exceed 8.

Choose all the answers that apply. What is the freezing point of water? 0°C 0°F 32°C 32°F

Answers

The freezing point of water is 32F and 0c.

Write an equation to find two consecutive odd integers whose product is 143. (A). x(x+2)+143=0 (B). x(x+1)=143 (C.) x2+2x‒143=0 (D.) x2+x=143

Answers

2 consecutive odd numbers...x and x + 2
" product " means multiply

x(x + 2) = 143
x^2 + 2x = 143
x^2 + 2x - 143 = 0 <===

Manufacturer of batteries routinely tests its products to determine lifetime​ (hours of continuous​ usage). suppose they select a sample of 30 aaa batteries and find that the average lifetime is 1500 hours.

Answers

50 hours for one battery

What is the value of x in the equation 2x – 3 = 9 – 4x?

Answers

Add 3 to both sides
2x=12-4x

Add 4x to both sides
6x=12

Divide both sides by 6
x=2

Final answer: x=2

Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f(x) = 3x, where f(x) gives the number of comic strips and x is the number of work hours he puts in, which varies day to day. If he puts in {3, 4, 6, 7, 9} work hours, how many comic strips can he write? {3, 4, 6, 7, 9} {3, 12, 18, 24, 27} {9, 12, 18, 21, 27} {2, 4, 6, 8, 10}

Answers

For this question, all we are going to do is plug all 5 of those numbers into the function f(x) = 3x.

The numbers we're given are {3, 4, 6, 7, 9} So lets plug them in!
3*3=9
3*4=12
3*6=18
3*7=21
3*9=27

So the answer is {9, 12, 18, 21, 27}! If you have any questions I'd be happy to help!

2x+5=10
Solve for x

Answers

2x+5=10 

Subtract 5 from both sides.
2x + 5 - 5 = 10 - 5
2x = 5

Divide both sides by 2.
2/2x = 5/2
x = 5/2

5/2 can be simplified to 2 1/2 or 2.5.
Work: 2x+5=10
-5 both sides
2x=5
÷2 both sides
X=5/2
Answer: x=5/2
Check your work:
2 (5/2)+5=10
5+5=10
10=10

Answer is correct

Hope that helps you :)
Let me know if you need any more help :)

How do I solve this equation? I need a refresher on Algebra.

Answers

These equations seem tricky, but aren't as hard as you think. Just solve it like you are regularly adding fractions.

Your common denominator is 9x + 9, so

1/(9x+9)  =  36/(9x + 9)   -    (5x + 5)/9

1 - 36 + 5x + 5 / 9x - 9
30x - 30/9x - 9
10x-10/3x - 3
10(x-1)/3(x-1)
10/3

Hope this helped!

Final answer:

To solve an algebraic equation, identify knowns, find suitable equations, simplify algebraically, substitute known values, solve for the unknown, and check if the answer is reasonable.

Explanation:

To solve an algebraic equation, follow these systematic steps:

Firstly, identify the knowns and make a list of what is given or can be inferred from the problem.

Then, find the appropriate equation or set of equations that contain the unknown you need to solve for.

Simplify the algebra by eliminating terms wherever possible. This might require algebraic rearrangement such as dividing terms or multiplying both sides of the equation to isolate the unknown.

Substitute the known values into the equation.

Solve for the unknown and make sure to include units where necessary.

Finally, always check your answer to see if it is reasonable and makes sense.

These steps should yield a solution that is both accurate and verifiable.

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