If you arrange the like terms in the same columns, you can perform addition of polynomials in ”column” form. Find the following sums:

The answer is D. You can't make an equation out of this!

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Answer:

Pamela

Step-by-step explanation:

20*40=800

65*11=715

800>715

Answer:

40x - 320

Step-by-step explanation:

5x - 40

Something equivalent is...

40x - 320

Still the same.

Infinitely many equations are equivalent to 5x-40.

Example 10x-80 ≡5x-40.

" Equivalent equation are such set of equations which same set of solutions."

According to the question,

Given equation,

5x - 40

Equivalent equation  to 5x - 40 are as follows,

10x -80

20x - 160

30x - 240........so on

Hence, Infinitely many equations are equivalent to 5x-40.

Example 10x-80 ≡5x-40.

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Two rules come in handy here:

So we have

[tex]

\dfrac{\sqrt[4]{6}}{\sqrt[5]{6}}=\dfrac{6^{\frac{1}{4}}}{6^{\frac{1}{5}}}=6^{1/4-1/5}=\boxed{6^{9/20}}

[/tex]

The answer is B.

Hope this helps.

Answer:

1200 N

Step-by-step explanation:

Newton's second law:

F = ma

F = (300 kg) (4 m/s²)

F = 1200 N

Answer:

Step-by-step explanation:

-4x-8=8x+16

-8=12x+16

-24=12x

-2=x

x = -2

Answer:

He used 55% protein 500 pounds and 25% protein 1000 pounds

Step-by-step explanation:

x pounds of 55% contains x * 0.55 pounds of pure protein

y pounds of 25% contains x * 0.25 pounds of pure protein

1500 pounds of 35% contains 1500 * 0.35 = 525 pounds of pure protein

x + y = 1500  ... (1)

0.55 x + 0.25 y = 525   ...(2)

0.25 times both sides of (1)    

0.25 x + 0.25 y = 1500 * 0.25 = 375   ... (3)

(2) - (3)  0.3 x = 150  ....  divide 0.3 on both sides

x = 500

y = 1500 - 500 = 1000

Answer:

5x9=45

9×5=45

3×15=45

So the third answer is the correct choice.

Step-by-step explanation:

The best thing you can do with these types of problems is work out each multiplication fact untill you see which ones equal the number you are looking for.

The store manager wants to display 45 cans of soup in an array. The three possible ways to display the cans are 1 X 9, 9 X 5, and 3 X 15.

The store manager wants to display 45 cans of soup in an array. An array is a rectangular arrangement of objects. There are three possible ways the cans could be displayed: 1 X 9, 9 X 5, and 3 X 15.

For example, if the cans are displayed in a 1 X 9 array, there would be 1 row and 9 columns, making a total of 9 cans.

The other two options can be understood in a similar way, with the number before 'X' representing the number of rows and the number after 'X' representing the number of columns.

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Answer:

A

Step-by-step explanation:

Consider the values of y, that is

9, 36, 144, 576, 2304

Then the common ratio r is

r = 36 ÷ 9 = 144 ÷ 36 = 576 ÷ 144 = 2304 ÷ 576 = 4 → A

Triangle angles add to 180 degrees.

25+30=55 degrees, so x=180-55=125 degrees and y=180-x=55 degrees.

Answer:

x = 125

Step-by-step explanation:

y = 25 + 30    { exterior angle equals the sum of opposite interior angles }

y = 55

x + y =180   {   linear pair }

x + 55 = 180

x = 180 -55

x = 125

Answer:

Step-by-step Let's break down the problem step by step.Let "a number" be represented by 'x'.Three times a number: 3 * xIncreased by 12: 3 * x + 12One-third of the result: (1/3) * (3 * x + 12)Now, let's simplify the expression:(1/3) * (3 * x + 12)The '3's cancel out:= (1/1) * (x + 12)= x + 12So, the expression "One-third of the result of three times a number that is increased by 12" is equivalent to "x + 12."

Answer:

9:15

Step-by-step explanation:

[tex]\frac{3*3}{5*3}=\frac{9}{15}=9:15[/tex]

Answer:

C

Step-by-step explanation:

Answer:

75 grams

Step-by-step explanation:

Crossmultiply to find x (grams of cereal)

12/100 = 9/x

x(12) = (100)(9)

x12 = 900

x = 75

The 75 grams of tasty oats cereal will give you 9 grams of protein.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that there are 12 grams of protein in 100 grams of cereal .

Let x be the grams of cereal.

Therefore, 12/100 = 9/x

Now Crossmultiply to find x (grams of cereal);

x(12) = (100)(9)

x12 = 900

x = 75

The 75 grams of tasty oats cereal will give you 9 grams of protein.

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Answer:

2 times.

Step-by-step explanation:

Sarah eats squash every 4 days.

Therefore, if Sarah eats squash today then she will eat squash after 4 days, then after 8 days, then after 12 days and so on.

So, if Sarah eats squash today then Sarah eats squash on that day which is multiples of 4 days.  

Again, Sarah eats lima beans every 10 days.

Therefore, if Sarah eats lima beans today then she will eat lima beans after 10 days, then after20 days, then after 30 days and so on.

So, if Sarah eats lima beans today then Sarah eats lima beans on that day which are multiples of 10 days.  

Therefore, if she just eats squash and lima beans yesterday, then she will eat the same after common multiple days of 4 days and 10 days from yesterday.

Now, common multiples of 4 and 10 are 20, 40, 60, etc.

Hence, she will eat both squash and lima beans after yesterday on the 20th day and 40th day from yesterday i.e. twice within 50 days from yesterday. (Answer)

Answer:

x = -2 (multiplicity 2).

Step-by-step explanation:

3x^2+12x+12 = 0

3(x^2 + 4x + 4) = 0

3(x + 2)(x + 2) = 0

x = -2 (multiplicity 2).

2 roots - both equal.

Answer:

3(x+2) (x+2)

Step-by-step explanation:

Given 3x²+12x+12

We expand the equation

That is,

3x²+6x+6x+12

We add parentheses to factor out

(3x²+6x)+(6x+12)

3x(x+2)+6(x+2) > Taking out the

common factors.

(3x+6) (x+2)

= 3(x+2) (x+2)

Answer:

Step-by-step explanation:

60 to 15 = x to 70

60/15 = x/70.....cross multiply

15x = 4200

x = 4200/15

x = 280 <=== answer A

Answer:

A

Step-by-step explanation:

60:15::x:70

60*70=15*x

x=4*70 =280

Answer:

Carbon dioxide and water.

Answer:

it is carbon dioxide and water

Step-by-step explanation:

Answer:

The set has 256 subsets

Step-by-step explanation:

The set is [a,b,c,d,e,f,h,i]

Number of subset can be calculated from the formula

[tex] {2}^{n} [/tex]

where n is the number of element in the set

n=8

This implies that

[tex] {2}^{n} = {2}^{8} =256[/tex]

Answer:

D)

Step-by-step explanation:

Answer:

Store A is the better buy.

Step-by-step explanation:

The first thing I did was to find a multiple that 3 and 5 share which is 15. Now, we can figure out how much each store charges for 15 oz. I put the numbers into fraction form to make it easier. 5/1.50 and 3/1.20. To get 5 to 15, I multiplied it by 3, so I also have to do that to 1.50. This leaves me with 4.50. Store A charges 4.50 for 15 oz. Next, we have to go over to the other fraction. To get 3 to 15, I multiplied it by 5. Whatever you do to the numerator, you have to do to the denominator, so you multiply 1.20 by 5. This gets you 6. Store B charges 6 dollars for 15oz, so store A has a better price. I hope this helps.

Answer:

Answer is in explanation.

Step-by-step explanation:

Part A:

The [tex]x[/tex]-coordinate of the intersection of the curves for the equations [tex]y=4^{-x}[/tex] and [tex]y=2^{x+3}[/tex] is the same as the solution to [tex]4^{-x}=2^{x+3}[/tex] because the equation [tex]4^{-x}=2^{x+3}[/tex] is the result of finding when (for what [tex]x[/tex]'s) the [tex]y[/tex]'s are the same for the the equations [tex]y=4^{-x}[/tex] and [tex]y=2^{x+3}[/tex].

Part B:

Table for [tex]y=4^{-x}[/tex]:

[tex]x[/tex]  |          [tex]y=4^{-x}[/tex]                     |  [tex](x,y=4^{-x})[/tex] |

-3                |          [tex]y=4^{-(-3)}=4^{3}=64[/tex] | [tex](-3,64)[/tex] |

-2                |          [tex]y=4^{-(-2)}=4^{2}=16[/tex]  | [tex](-2,16)[/tex] |

-1                 |          [tex]y=4^{-(-1)}=4^{1}=4[/tex]     | [tex](-1,4)[/tex]

0                 |          [tex]y=4^{-(0)}=4^{0}=1[/tex]     | [tex](0,1)[/tex]

1                  |          [tex]y=4^{-(1)}=4^{-1}=\frac{1}{4}[/tex] | [tex](1,\frac{1}{4})[/tex]

2                 |          [tex]y=4^{-(2)}=4^{-2}=\frac{1}{16}[/tex] | [tex](2,\frac{1}{16})[/tex]

3                 |          [tex]y=4^{-(3)}=4^{-3}=\frac{1}{64}[/tex] | [tex](3,\frac{1}{64})[/tex]

Table for [tex]y=2^{x+3}[/tex]:

[tex]x[/tex]  |        [tex]y=2^{x+3}[/tex]                   | [tex](x,y=2^{x+3})[/tex] |

-3                |        [tex]y=2^{-3+3}=2^{0}=1[/tex]    | [tex](-3,1)[/tex]

-2                |        [tex]y=2^{-2+3}=2^{1}=2[/tex]    | [tex](-2,2)[/tex]

-1                |        [tex]y=2^{-1+3}=2^{2}=4[/tex]    | [tex](-1,4)[/tex]

0                |        [tex]y=2^{0+3}=2^{3}=8[/tex]    | [tex](0,8)[/tex]

1                |        [tex]y=2^{1+3}=2^{4}=16[/tex]    | [tex](1,16)[/tex]

2                |        [tex]y=2^{2+3}=2^{5}=32[/tex]    | [tex](2,32)[/tex]

3               |        [tex]y=2^{3+3}=2^{6}=64[/tex]    | [tex](3,64)[/tex]

You can see in the two tables the y-coordinates are the same value of [tex]4[/tex] when [tex]x=-1[/tex]. So basically the common point in both tables is [tex](-1,4)[/tex] so [tex](-1,4)[/tex] is a solution.

Part C:

I'm going to graph both [tex]y=4^{-x}[/tex] and [tex]y=2^{x+3}[/tex] on the same coordinate plane. I will then find where they will intersect.

I'm going to graph my points from the table to [tex]y=4^{-x}[/tex] and [tex]y=2^{x+3}[/tex].

This can be seen in my drawing.

I graphed [tex]y=4^{-x}[/tex] in blue.

I graphed [tex]y=2^{x+3}[/tex] in red.

Another way:

An algebraic approach:

[tex]4^{-x}=2^{x+3}[/tex]

[tex](2^2)^{-x}=2^{x+3}[/tex] (since [tex]4=2^2[/tex] and now the bases on both side are the same)

[tex]2^{-2x}=2^{x+3}[/tex]

[tex]-2x=x+3[/tex] (since [tex]2^{a}=2^{b}[/tex] then [tex]a=b[/tex])

[tex]-3x=3[/tex] (subtracted [tex]x[/tex] on both sides)

[tex]x=-1[/tex] (divided both sides by [tex]-3[/tex])

The solution is [tex]x=-1[/tex].

Answer:

Step-by-step explanation:

To order decimals is to subtract, line up, and comparing digits.

Comparing digits is a good way to order decimals for greatest to least.

(Most Understood.)

We could put numbers in any order to compare digits, but you should look closely:

__________________________________________

First, we pick 2 numbers to compare, maybe 8.782 and 8.981.

We look at the digits for both numbers.

We see 8's, And 7 and 9, 9 is greater, so 8.981 is the greatest and 8.782 is the 2nd greatest.

Our last 2 numbers are 7.981 and 7.982,

We look at the digits for both numbers.

We see 7's, we see 9's, and we see 8's, but 1 and 2. 2 is greater so 7.982 is the 3rd greatest and 7.981 is the least.

Best of Luck to you.

If you have any questions, feel free to comment below.

-Also if anything is confusing!!

The numbers 8.981, 8.782, 7.982, and 7.981 are ordered from greatest to least. This is determined by comparing each digit from left to right, where 8.981 is the greatest and 7.981 is the least.

The task that you are asked to do is to arrange the numbers from greatest to least. The numbers given are 7.982, 7.981, 8.782, and 8.981.

This order is determined by comparing the digits from left to right. The first digit is the most significant indicator of the size of the number. However, if the first digits are the same, then we consider the following digits and so on until we find one that differs. In our case, 8.981 has both the largest initial digit (8) and the largest subsequent digits (9 and 8 respectively) so it is the greatest. Similarly, 7.981 has the smallest digits and as a result, it's the least.

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Answer:

Option C. 7.2 units

Step-by-step explanation:

we know that

triangle PAM is similar to triangle RAE by AA Similarity Theorem

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

[tex]\frac{PA}{RA}=\frac{AM}{AE}[/tex]

substitute the given values

[tex]\frac{20+x}{20}=\frac{25+9}{25}[/tex]

solve for x

[tex]\frac{20+x}{20}=\frac{34}{25}[/tex]

[tex]20+x=\frac{34}{25}(20)[/tex]

[tex]x=\frac{34}{25}(20)-20[/tex]

[tex]x=7.2\ units[/tex]

The value of 'x' is 7.2 units and this can be determined by using the properties of the triangle and also by using the arithmetic operations.

Given :

According to the given data, the side RE is parallel to side PM therefore it can be said that:

[tex]\rm \dfrac{PA}{RA}=\dfrac{MA}{EA}[/tex]

Now, substitute the values of PA, MA, RA, and EA in the above expression.

[tex]\rm \dfrac{x+20}{20}=\dfrac{9+25}{25}[/tex]

Cross multiply in the above equation.

[tex]25 \times (x + 20) = 20\times (34)[/tex]

25x + 500 = 680

Subtract 680 by 500 in the above equation.

25x = 180

DIvide 180 by 25 in the above equation.

x = 7.2

Therefore, the correct option is C).

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Answer:

The answer to this question would be $10.31

Step-by-step explanation:

To answer this question, you would first need to add the first two numbers which are $2.15 and $5.08 which results in $7.23 and then you would need to add the last number to the amount which then gives you the answer as $10.31.

Answer:$10.31

Step-by-step explanation:

$2.15+ $5.08+ $3.08=$10.31

Answer:

24.4 feet

Explanation:

Let x be the length of the wooden board as shown in the diagram.

Using trigonometry ratio, we can write

[tex] \cos(35)=\frac{20}{x}[/tex]

[tex] \implies0.819= \frac{20}{x} [/tex]

cross multiplying we get:

[tex]0.819 \times x = 20[/tex]

Diving through by 0.819, we obtain

[tex]x = 24.42[/tex]

To the nearest tenth, x=24.4 feet.

Petra can make 8 costumes with 12 yards of fabric

Given that Petra was given 12 yards of fabric to make costumes for the school play

Each costume requires [tex]1\frac{1}{2}[/tex] yards

To find: number of costume Petra can make

The number of costume Petra can make is calculated by dividing the total fabric she has by fabric needed for one costume

[tex]\text {number of costume Petra can make }=\frac{\text {total fabric she has }}{\text {fabric needed for one costume }}[/tex]

Total fabric she has = 12 yards

Fabric needed for 1 costume = [tex]1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2}[/tex] yards

Therefore,

[tex]\text {number of costume Petra can make }=\frac{12}{3 / 2}=\frac{12}{3} \times 2=8[/tex]

Thus petra can make 8 costumes with 12 yards of fabric

Answer:

y = - 10 and x = 5

Step-by-step explanation:

[tex] - 9x - 6y = 15 \\ + 9x - 10y = + 145 \\ add \: the \: two \: equations \: together \\ 0 - 16y = 160 \\ y = \frac{160}{ - 16} \\ y = - 10 \\ substitute \: for \: y\: in \: any \: equation \\ - 9x - 6( - 10) = 15 \\ - 9x + 60 = 15 \\ - 9x = 15 - 60 \\ - 9x = - 45 \\ x = \frac{ - 45}{ - 9} \\ x = 5[/tex]

Answer:

y=-10

x-5

Step-by-step explanation: