/Which of the following pairs consists of equivalent fractions? 8/16 and 3/4 5/3 and 3/5 12/18 and 10/15 12/20 and 10/25

Based on the given information the percent gain is 144%.

Initial production rate = 84 toy robots per day

Present production rate = 205 robots per day

Using this formula

Percent gain=  Increase in production rate /Initial production rate× 100  

Where:

Increase in production rate = 205 - 84 =121

Initial production rate = 84 toy robots per day

Let plug in the formula

Percent gain=121/84×100

Percent gain=144%

Inconclusion the percent gain is 144%.

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Answer:

Step-by-step explanation:

42+(1/3)

42*(3/3)+(1/3)

(126/3) + 1/3

126/3 + 1/3 = 127/3 miles

4/3 hours

(127/3)/4/3)

(127/3)*(3/4)

= 127/4 or 31.75 miles/hour

It would have been nicer if we were told Graham's distance after 1 hour (when he had travelled 31.75 miles).

Answer:

7

Step-by-step explanation:

reminder that the absolute value function always gives a positive result.

3 | - d + 2 | + 1 ( substitute d = 4 )

3 | - 4 + 2 | + 1

= 3 | - 2 | + 1

= 3 × 2 + 1

= 6 + 1

= 7

Answer:

q=y + K/n

Step-by-step explanation:

Answer:

Step-by-step explanation:

binomial distritubtion

mean= n*p

.23*300= 69

variance= n*p*(1-p)

.23*300*(1-.23)=53.1

standard deviation= sqrt(variance)

sqrt(53.13)= 7.3

Answer:

28$

Step-by-step explanation:

She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.

Answer:

Umm... I'd love to help but... you didnt post a question. Was that an accident?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The absolute value measures the distance from zero on a number line. A negative number will have the sign change,

Answer:

s = [tex]\sqrt{V/h}[/tex]

Step-by-step explanation:

divide by 'h', then take square root of 's' to get:

s = [tex]\sqrt{V/h}[/tex]

Answer:

First one Or Last. I think the last one though

Step-by-step explanation:

25 minutes

(6*1000)/240

if you're looking for someone to double-check I just did and you're right.

Answers:

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

Explanation:

The parallel lines show that x = 60 since the 60 and the x angles are alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.

Focusing on the largest triangle, the three angles add to 180 degrees

x+y+50 = 180

60+y+50 = 180

y+110 = 180

y = 180-110

y = 70

This triangle appears to be equilateral, but it's not entirely so (it's fairly close however). That 50 degree angle in the bottom right corner would need to be 60 degrees for it to be equilateral.

the answer is (3,1)(1,-2)

Answer:

3) -4

Step-by-step explanation:

Hi there!

2x + 4y = -16

The y-intercept occurs when x=0. Replace x with 0 and solve for y:

2(0) + 4y = -16

4y = -16

y = -4

Therefore, the y-intercept is -4.

I hope this helps!

Answer:

300 liters need to be filled into each lamp

Step-by-step explanation:

hope this helps

Answer:

-9/6 or -3/2

Step-by-step explanation:

To find the x intercept, substitute y = 0 into the equation:

6x + 3(0) = -9

Now simplify,

6x + 0 = -9

6x = -9

x = -9/6 → -3/2

Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead

Answer:

the answer is 154

Step-by-step explanation:

22x7=154

Answer:

-4.8 • 3.2 < 4.2 divided by -3 < -2 3/5 - (-1 2/5) < 2 1/4 + (-1 2/5)

Hope it helps!

Answer:

STEP1:

4 Simplify — 1

Equation at the end of step1:

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+(4•a2))+2a)-4) (a3)

STEP2:Equation at the end of step 2

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+22a2)+2a)-4) (a3)

STEP 3 :

Equation at the end of step3:

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-22a2)-4a)+16)•(5a2-4a-4) (a3)

STEP 4 :

4 Simplify —— a3

Equation at the end of step4:

4 (((((((2•(a3))+(4•(a2)))-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP 5 :

Equation at the end of step5:

4 (((((((2•(a3))+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP 6 :

Equation at the end of step6:

4 ((((((2a3+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP7:Rewriting the whole as an Equivalent Fraction

 7.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  a3  as the denominator :

2a3 + 4a2 - 2a (2a3 + 4a2 - 2a) • a3 2a3 + 4a2 - 2a = —————————————— = ————————————————————— 1 a3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP8:Pulling out like terms

 8.1     Pull out like factors :

   2a3 + 4a2 - 2a  =   2a • (a2 + 2a - 1) 

Trying to factor by splitting the middle term

 8.2     Factoring  a2 + 2a - 1 

The first term is,  a2  its coefficient is  1 .

The middle term is,  +2a  its coefficient is  2 .

The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -1 = -1 

Step-2 : Find two factors of  -1  whose sum equals the coefficient of the middle term, which is   2 .

     -1   +   1   =   0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

 8.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2a • (a2+2a-1) • a3 - (4) 2a6 + 4a5 - 2a4 - 4 ————————————————————————— = ——————————————————— a3 a3

Equation at the end of step8:

(2a6+4a5-2a4-4) (((———————————————-22a2)-4a)+16)•(5a2-4a-4) a3

STEP9:

Rewriting the whole as an Equivalent Fraction :

 9.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  a3  as the denominator :

22a2 22a2 • a3 22a2 = ———— = ————————— 1 a3

STEP10:

Pulling out like terms :

 10.1     Pull out like factors :

   2a6 + 4a5 - 2a4 - 4  = 

  2 • (a6 + 2a5 - a4 - 2) 

Checking for a perfect cube :

 10.2    a6 + 2a5 - a4 - 2  is not a perfect cube

Trying to factor by pulling out :

 10.3      Factoring:  a6 + 2a5 - a4 - 2 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -a4 - 2 

Group 2:  a6 + 2a5 

Pull out from each group separately :

Group 1:   (a4 + 2) • (-1)

Group 2:   (a + 2) • (a5)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

 10.4    Find roots (zeroes) of :       F(a) = a6 + 2a5 - a4 - 2

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -2.

 The factor(s) are:

of the Leading Coefficient :  1

 of the Trailing Constant :

Compound interest formula:

Total = principal( 1 + interest rate/number of compounds per year)^ (compounds x years)

Total = 1500(1 + 0.06/12) ^ (12 x 10)

Answer: $2,729.10

Answer:

15

Step-by-step explanation:

95 - 50 = 45

45/3 = 15

Answer:

12.6

Step-by-step explanation:

sorry only first one

Answer:

20

Step-by-step explanation:

the twis old as karli

the sum of their ages 7 years ago

13+7=20

Answer:

132

Step-by-step explanation:

Answer:

X=2

Step-by-step explanation:

9x+1=2x+15

1. restar 1 de ambos lados  ejemplo: 9x+1-1=2x+15-1

2. simplificar Ejemplo: 9x=2x+14

3. restar 2x de ambos lados ejemplo: 9x-2x=2x-2x+14

4. simplificar ejemplo: 7x=14

5.divide ambos lados entre 7 ejemplo: 7x/7= 14/7

6.Simplificar ejemplo: x=2

Answer:

36 and 45

Step-by-step explanation:

Answer:

Datas are not given

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