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Combining Like Terms:

Solve the equations by combining like terms. Show all the steps.
Then write two of your own problems where you combine like terms. Show all steps, as well as your solution.
1. 16x − 4x = -48

Answers

Answer 1
12x=-48 (divide 12 from both sides)
x=-4

10y-13y=30
-3y=30 (divide -3 from both sides)
-10=y

10x+14x=48
24x=48 (divide 24 from both sides)
x=2



Related Questions

Lamar bought 20 pounds of dog food for $4.99 for his dog, Buster. The next day, the shop down the street offered 50 pounds of the same brand of dog food for $12.50. Did Lamar get a better deal? ...?

Answers

To calculate what is better deal we need to calculate how much 1 pound of dog food costs at both shops.

First shop:
4.99/20 = 0.2495$/pound

Second shop:
12.50/50 = 0.25$/pound

This means that first shop had slightly better deal since at that place pound was a bit less expensive.

how many times does 28 go into 126

Answers

In order to know that, you need to divide 28 from 126
It would be:126/28 = 4.5

So, your final answer is 4.5

Hope this helps!

Saturated hydrocarbons are relatively unreactive except in the presence of _____.

high temperatures and oxygen
other alkanes
alkenes
oxygen

Answers

Answer: high temperatures and oxygen

Answer:

Saturated hydrocarbons are relatively unreactive except in the presence of high temperatures and oxygen.      

Step-by-step explanation:

we have to choose the option in which saturated hydrocarbons react.

Saturated hydrocarbons do contain double and triple bonds that make molecule reactive. They only contains sigma bonds, which are very stable and difficult to break and hence these are unreactive.

In saturated hydrocarbons the percentage of carbon is lower which gets easily oxidised in oxygen of the air to form [tex]CO_2[/tex] completely.

Saturated hydrocarbons are generally unreactive, but when exposed to high temperatures and oxygen they react in a combustion reaction to produce Carbon Dioxide and Water.

Hence, Saturated hydrocarbons are relatively unreactive except in the presence of high temperatures and oxygen.

Option option 1 is correct.

Determine which choice best shows the distributive property of multiplication.

Answers

I think that the answer is A.

The distributive property is demonstrated best by equations in the form a(b + c) = ab + ac. The correct choices that illustrate this property are: 1. C, 2. B, 3. A, 4. A, 5. A, 6. B, 7. C, and 8. C.

To determine which choice best shows the distributive property of multiplication, we need to find the equation that demonstrates the format a(b + c) = ab + ac. This property states that you can distribute the multiplication over addition inside the parentheses.

1 Correct choice: C. (7 × 2) + (7 × 4) = 7 × (2 + 4)

2 Correct choice: B. (7 × 3) + (7 × 2) = 7 × (3 + 2)

3 Correct choice: A. (2 × 10) + (2 × 8) = 2 × (10 + 8)

4 Correct choice: A. (9 × 4) + (9 × 5) = 9 × (4 + 5)

5 Correct choice: A. 2 × (3 + 5) = (2 × 3) + (2 × 5)

6 Correct choice: B. 9 × (3 + 7) = (9 × 3) + (9 × 7)

7 Correct choice: C. 5 × (4 + 6) = (5 × 4) + (5 × 6)

8 Correct choice: C. (2 × 6) + (2 × 0) = 2 × (6 + 0)

This demonstrates the distributive property effectively.

Complete question:

Determine which choice best shows the distributive property of multiplication.

1) A. 7 × 1 = 7, B. 7 × 2 = 2 × 7, C. (7 × 2) + (7 × 4)=7 × (2 + 4), D. (7 × 2) × 4 = 7 × (2 × 4)

2) A. (7 × 3) × 2 = 7 × (3 × 2), B. (7 × 3) + (7 × 2) = 7 × (3 + 2), C. 7 × 1 = 7, D. 7 × 3=3 × 7

3) A. (2 × 10) + (2 × 8) = 2 × (10 + 8), B. (2 × 10) × 8 = 2 × (10 × 8), C. 2 × 1 = 2, D. 2 × 10 = 10 × 2  

4) A. (9 × 4) + (9 × 5) = 9 × (4 + 5), B. (9 × 4) × 5 = 9 × (4 × 5), C. 9 × 1 = 9, D. 9 × 4 = 4 × 9

5) A. 2 × (3 + 5) = (2 × 3) + (2 × 5), B. 2 × 3 = 3 × 2, C. 2 × (3 × 5) = (2 × 3) × 5, D. 1 × 2 = 2

6) A. 9 × (3 × 7) = (9 × 3) × 7, B. 9 × (3 + 7) = (9 × 3) + (9 × 7), C. 9 × 3 = 3 × 9, D. 1 × 9 = 9

7) A. 5 × (4 × 6) = (5 × 4) × 6, B. 1 × 5 = 5, C. 5 × (4 + 6) = (5 × 4) + (5 × 6), D. 5 × 4 = 4 × 5

8) A. 2 × 1 = 2, B. 2 × 6 = 6 × 2, C. (2 × 6) + (2 × 0) = 2 × (6 + 0), D (2 × 6) × 0 = 2 × (6 × 0)

What value(s) of x make the equation x2 - 18x + 81 = 0 true?

Answers

We can factorise this to get (x-9)(x-9). To find the value, each bracket needs to equal 0, so the value would be x=9

Answer:

9

Step-by-step explanation:

54,625 written in expanded form

Answers

it would be 50,000 + 4,000 + 600 + 20 + 5

hope this helps you

Explain the correlation between the graph of a line, direction of the line and the positive or negative slope of the line.

Answers

Well if the slope is positive the graph of the line will go up. If the slope if negative the graph of the line will go down. Also, depending on the y-intercept the graph will start on a negative integer or a positive integer

What is the prime factorization of 19??

Answers

19 is already a prime number......so ur answer would be 19 or 19 x 1

The prime factorization of 19 is 19, as it is a prime number and can only be divided by 1 and itself.

To determine the prime factorization of a number, we identify all the prime numbers that multiply together to give the original number. In the case of 19, we need to check if it can be divided by any primes (like 2, 3, 5, 7, 11, 13, 17).

After testing, we find that 19 is only divisible by 1 and itself, making it a prime number. Therefore, the prime factorization of 19 is simply 19.

solve for x enter your answer in interval notation using grouping symbols x²+2x<8

Answers

x^2 + 2x < 8 x^2 + 2x - 8 < 0 (x + 4)(x - 2) < 0 ,, {x + 4 < 0 and x - 2 > 0} or {x + 4 > 0 ,,and x - 2 < 0} ,, {x < -4 and x > 2} or {x > -4 and x < 2},, Discard x < -4 and x > 2 because it has no solutions, leaving just x > -4 and x < 2 ,, -4 < x < 2

convert 5/8 to percent notation

Answers

Hi , the answer is 62.5 percent , because 5 divided by 8 equals to 0.625 , then we move the decimal two spaces to the right .

We can multiply 5/8 directly by 100 and then simplify the fraction into a decimal or first convert the fraction to a decimal and then multiply by 100.
5/8 = 0.625
0.625 x 100 = 62.5%

betty has a cow.the cow produces 5 liters of milk in a day. if the cows diet is improved the cow will produce 200% more milk.how much milk would the cow make in a day.

Answers

10 liters, google 5 liters times 200%... 
10 liters. I hope this really helps!

When f is defined by
f(x) = sqrt(x) ,
find a so f'(a) is two times the value of f'(4).

Answers

After all calculations you will get this [tex] \frac{1}{2 \sqrt{vectora}} = \frac{1}{2} [/tex]. Then find a. a is the key and it's equals to 1. This is your answer.

Find the equations of all lines tangent to y = 9–x^2 that pass through the point (1, 12). ...?

Answers

Final answer:

The equation of the line tangent to y = 9 - x^2 that passes through the point (1, 12) is y = -2x + 14.

Explanation:

To find the equations of all lines tangent to y = 9 - x^2 that pass through the point (1, 12), we need to find the slope of the tangent line at the point (1, 12) and use it to form the equation of the line.

First, find the derivative of y = 9 - x^2 to get dy/dx = -2x.Substitute x=1 into dy/dx = -2x to find the slope of the tangent line at (1,12). In this case, the slope is -2.Next, use the point-slope form of a line and the given point (1, 12) to write the equation of the tangent line:

y - y1 = m(x - x1)

y - 12 = -2(x - 1)

Rewrite the equation in slope-intercept form:

y = -2x + 14

Therefore, the equation of the line tangent to y = 9 - x^2 that passes through the point (1, 12) is y = -2x + 14.

Learn more about Equations of tangent lines here:

https://brainly.com/question/39323392

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What percent of 77 is 7?

Answers

The value "7" is approximately 9.09 percent of the number "77".

To calculate what percent of 77 is 7, we need to find the proportion of 7 in relation to 77. The concept of percent is based on the idea of expressing a fraction of a whole as a value out of 100.

To find the percentage, we divide the given value (7) by the total value (77) and multiply by 100.

⇒ (7/77) × 100 = 0.0909 × 100 ≈ 9.09%,

Therefore, 7 is approximately 9.09% of 77. This means that 7 represents about 9.09% of the total value of 77. It reflects the proportion of 7 within the whole value of 77, expressed as a percentage.

Learn more about Percent here

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Whut is 2 pus 2 i dount no

Answers

the answer to this is 4

Expand and simplify 2 (x+7)+3(x+1)

Answers

I hope this helps you
(2x+14)+(3x+3)= (2x+3x)+(14+3)= 5x+17

Write a function rule for the area A of a triangle whose base, b, is 2 cm less than seven times the height, h. What is the area of the triangle when the height hits 16 cm.
A. 4h^2-5h;944cm^2
B. 4h-5/2; 29.5***********
C. 4h^3-5h/2; 427
D. 4h-5; 59cm

I think it is B

Answers

i hope this helps you

In triangle abc, sin a = 2425. which other expression has a value of 2425?

Answers

cos b, I think this should help...               

Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is π/ radians per second.

Answers

Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = [tex] \frac{3*r*pi}{2*105} [/tex]

v = r* pi/70

If we take that r = 1 answer is [tex] \pi /70[/tex]

**URGENT HELP???!!!*

Suppose that b(x) varies directly with x and b(x) = 4325 when x= 25.

What is b(x) when x =19?

A.) 4325
B.) 3287
C.) 173
D.) 9.1

I can't remember how problems like these are suppose to go and how to write them out, could you tell me how you got the answer once you get it. Thanks ;)

Answers

answer is B.) 3287
hope that helps
..................................

4325/25 = 173

173 * 19 = 3287

Answer:

B.3287

Step-by-step explanation:

We are given that

b(x) varies directly with x.

b(x)=4325 when x=25

We have to find the value of b(x) when x=19

According to question

[tex]b(x)\propto x[/tex]

[tex]b(x)=kx[/tex]

Where k=Proportionality constant

Substitute the values then we get

[tex]4325=k(25)[/tex]

[tex]k=\frac{4325}{25}=173[/tex]

[tex]k=173[/tex]

Now, substitute the value of k then, we get

[tex]b(x)=173 x[/tex]

Substitute the value of x=19

Then, we get

[tex]b(x)=173 \times 19=3287[/tex]

Hence, option B is true.

Proof that x^y + y^x > 1 for all x,y > 0 ...?

Answers

To prove this inequality we need to consider three cases. We need to see that the equation is symmetric and that switching the variables x and y does not change the equation.

Case 1: x >= 1, y >= 1

It is obvious that

 x^y >= 1, y^x >= 1
 x^y + y^x >= 2 > 1
 x^y + y^x > 1

Case 2: x >= 1, 0 < y < 1

 Considering the following sub-cases:

  - x = 1, x^y = 1
  - x > 1,

    Let x = 1 + n, where n > 0

    x^y = (1 + n)^y = f_n(y)

    By Taylor Expansion of f_e(y) around y = 0,

    x^y = f_n(0) + f_n'(0)/1!*y + f_n''(0)/2!*y^2 + ...
        = 1 + ln(1 + n)/1!*y + ln(1 + n)^2/2!*y^2 + ...

    Since ln(1 + n) > 0,

    x^y > 1

  Thus, we can say that x^y >= 1, and since y^x > 0.

  x^y + y^x > 1

  By symmetry, 0 < x < 1, y >= 1, also yields the same.

Case 3: 0 < x, y < 1

  We can prove this case by fixing one variable at a time and by invoking symmetry to prove the relation.

  Fixing the variable y, we can set the expression as a function,

  f(x) = x^y + y^x
  f'(x) = y*x^(y-1) + y^x*ln y 
  For all x > 0 and y > 0, it is obvious that
  f'(x) > 0.

  Hence, the function f(x) is increasing and hence the function f(x) would be at its minimum when x -> 0+ (this means close to zero but always greater than zero). 

  lim x->0+ f(x) = 0^y + y^0 = 0 + 1 = 1

  Thus, this tells us that 

  f(x) > 1.

  Fixing variable y, by symmetry also yields the same result: f(x) > 1.

  Hence, when x and y are varying, f(x) > 1 must also hold true.
    Thus, x^y + y^x > 1.

We have exhausted all the possible cases and shown that the relation holds true for all cases. Therefore, 

  x^y + y^x > 1


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

I have to give credit to my colleague, Mikhael Glen Lataza for the wonderful solution.


I hope it has come to your help.

4x+5y=6 and 6x-7y=-20

Answers

I hope this helps you
Hello!!



If you are asking for how to make it into y=mx+b form:


4x + 5y = 6

5y / 5 = -4x+6/ 5

Answer: y= -4/5x + 6/5


6x - 7y = -20

-7y/-7 = -6x - 20/ -7


Answer: y= 6/7x +20/7




Hope this helps!!


let f=cos^2x and g=sin^2x which of the following lie in the space spanned by f and g
a)cos2x
b)3+x^2
c)1
d)sinx
e)0 ...?

Answers

I'm pretty sure that these are lying in the space spanned by f and g: a)cos2x, e)0.  Use common formulas to check it.

∠A∠A and ​ ∠B∠B ​ are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?

Answers

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or  5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

Fiona has to choose a bouquet for her wedding. The probability that she uses red roses is 98%, the probability that she uses orchids is 87%, and the probability that she uses Gerber daisies is 94%. Given the probability that she has both roses and orchids is 0.87 and the probability that she has both Gerber daisies and roses is 0.97 what is the probability that her bouquet contains roses or Gerber daisies?

Answers

the answer would be b.) .84

if the tank is half full, approximately how many miles has troy driven since last filling up his tank

BTW troy truck has a 30 gallon gas tank and gets an average of 21 miles per gallon

ASAP plz I really need help

Answers

Answer: 315 Miles.

30 Gallon Tank on Half: 30 / 2 = 15.
21 miles per gallon: 21 x 15 = 315 Miles.

I hope this helps!

Answer:

Toy truck will drive 315 miles since last the tank was filled.

Step-by-step explanation:

BTW troy truck has tank of capacity = 30 gallons

Since the toy truck is half filled so gas in the tank = [tex]\frac{30}{2}[/tex]

                                                                                  = 15 gallons of gas

Average of the toy truck is given as = 21 miles per gallon

That means in 1 gallon truck travels = 21 miles

Therefore in 15 gallons of gas truck will travel = 21 × 15

                                                                             = 315 miles

Toy truck will drive 315 miles since last the tank was filled.

A school soccer team has just purchased new uniforms. The team now has 2 different colors of shorts (white and red) and 3 different colors of shirts (white, red, and gold).

How many different uniform combinations are there? ...?

Answers

Basic combinations are calculated with
number of shorts * number of shirts = 2 * 3
so the answer will be 6.

Choose two axioms that allow 6 + (x + 5) to be written x + 11.
A) commutative - addition
B) distributive
C) associative - multiplication
D) symmetric
E) commutative - multiplication
F) associative - addition
G) identity - addition

Answers

associative means that you can move the parenthesis around the problem and still get the same answer. like (4+2)+3=4+(2+3)
first & sixth are the true

Basic number properties:

The Distributive Property: [tex]a\cdot (b+c)=a\cdot b+a\cdot c;[/tex]The Associative Property for addition: [tex]a+(b+c)=(a+b)+c;[/tex]The Associative Property for multiplication: [tex]a\cdot (b\cdot c)=(a\cdot b)\cdot c;[/tex]The Commutative Property for addition: [tex]a+b=b+a;[/tex]The Commutative Property for multiplication: [tex]a\cdot b=b\cdot a;[/tex]Identity Property : Any number add to the zero the answer is the number itself;The symmetric property states that if one number is equal to a second number, then the second number is equal to the first number.

For the expression 6 + (x + 5):

use The Commutative Property for addition - 6+(x+5)=(x+5)+6;use The Associative Property for addition - (x+5)+6=x+(5+6)=x+11.

Convert 0.84 into a simplified fraction

Answers

100÷84
Or
84 upon 100
Maybe the answer is correct

The dimensions of a smaller rectangle are 3 ft. by 9 ft. The dimensions of a larger rectangle are 5 ft. by 11 ft. Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle. Options are 11:9, 3:4, 4:3, and 5:3 ...?

Answers

perimeter of smaller rect = 2L + 2B = 2*3ft + 2*9ft = 2(3 + 9) ft perimeter of bigger rect = 2L + 2B = 2*5ft + 2*11ft = 2(5 + 11) ft perimeter of larger rect 2(3 + 9) ft 12 3 --------------------- = ----------- = ------ = ----- perimeter of smaller rect 2(5 + 11) ft 16 4 so their ratio is 3:4

Answer:

Option 3rd is correct

4: 3

Step-by-step explanation:

Perimeter(P) of rectangle is given by:

[tex]P =2(l+w)[/tex]

where, l is the length and w is the width of the rectangle respectively.

Given that:

The dimensions of a smaller rectangle are 3 ft. by 9 ft.

Perimeter of smaller rectangle= 2(3+9) =2(12) = 24 ft.

It is also given that: The dimensions of a larger rectangle are 5 ft. by 11 ft.

Perimeter of Larger rectangle = 2(5+11) =2(16) = 32 ft.

We have to find  the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.

[tex]\frac{\text{Perimeter of the larger rectangle}}{\text{Perimeter of the Smaller rectangle}}[/tex]

Substitute the given values we have;'

[tex]\frac{32}{24}=\frac{4}{3}[/tex]

Therefore,  the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle is, 4 : 3

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