Add. Write your answer in simplest form.

4 6/7 + 3 5/7=____

Answers

Answer 1
Answer: First add the fractions.

6/7 + 5/7 = 1 4/7

Then add the whole numbers

4 + 3 = 7

Then add the mixed number to the whole number

7 + 1 4/7 = 8 4/7

Your answer is 8 4/7
Answer 2
Answer:

Answer:

8 4/7

Step-by-step explanation:


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Can you help me with this question please?

-10n + 3(8+8n)=-6(n-4)

Answers

First we have to multiply factor by every argument from the parenthesis.
-10n+3(8+8n)=-6(n-4)
-10n+3*8+3*8n=-6n+6*4
-10n+24+24n=-6n+24
24+14n=-6n+24        /-24
14n=-6n               /+6n
20n=0                 /:20
n=0 - its the answer

What are the coordinates of the vertex of the table? Is it a minimum or a maximum?x y

0 1

-1 -2

-2 -3





Question 1 options: A.(-4, 1); minimum B.(-2, -3); maximum C.(-2, -3); minimum D.(1, 0); maximum.



pleeeeez help me

Answers

The answer would be C.(-2,-3); Minimum.
You can tell be cause the points are going down

Can someone help me please?1. Refer to the triangle below. If a = 3 and b = 3,
A. Find the exact length of c in unsimplified radical form
B. Find the exact length of c in simplified radical form
C. Find c to the nearest hundredth
**I put the pic down below**

2. Consider the numbers 4/13 and 3/10 .
A. Compare the numbers.
B. Find a rational number between the two given numbers.

3. Use the Babylonian method to approximate √19 to the nearest hundredth.

Answers

For 1) Use the pythagorean theorem and the formula for it is a^2+b^2=c2 
so that will be 3^2+3^2=c^2
  9+9=c^2
18=c2
 then 
√(18) which is  √(9(2))  √(9)  √(2) the finally  3 √(2) ----   is the     unsimplified formsimplified form is≈4.2426
and the nearest hundredth 4.24

The correct answers are:


#1: A) c = √18

B) c = 3√2

C) c = 4.24

#2: A) 4/13 > 3/10

B) 79/260

#3: 4.36


Explanation:


#1: A) We use the Pythagorean Theorem to solve this:

a² + b² = c²

3² + 3² = c²

9 + 9 = c²

18 = c²


Taking the square root of each side:

√18 = √c²

√18 = c


B) To simplify √18, we first find the prime factorization of 18:

18 = 9*2

9 = 3*3


This gives us

18 = 3*3*2


When we take the square root, we are looking for pairs. We have a pair of 3's; this means we take a 3 out:


3√2


C) In the calculator, we see that 3√2 = 4.24.


#2: A) First, we find a common denominator. The first thing that both 13 and 10 will divide into is 130:


(4*10)/130; (3*13)/130

40/130; 39/130


Since 40 > 39, this means that 4/13 > 3/10.


B) There is not enough space between the two fractions to use 130 as the denominator; we will double that to 260:

(40*2)/260; (39*2)/260

80/260; 78/260


The fraction between these two would be 79/260.


#3: Using the Babylonian method, we first make a guess. Since 9 is nearly half of 19, we will start there.


Next, we divide 19 by our guess:

19/9 = 2.111


We average this quotient with our guess:

(9 + 2.111)/2 = 11.111/2 = 5.5555


This is our new guess. Now divide 19 by this guess:

19/5.5555 = 3.4200342


Average this with our guess:

(5.5555+3.4200342)/2 = 4.4877671


This is our new guess. Divide 19 by this guess:

19/4.4877671 = 4.233731291


Average this with our new guess:

(4.4877671+4.233731291)/2 = 4.360749196


This is our new guess. Divide 19 by this guess:

19/4.360749196 = 4.357049476


Average this with our new guess:

(4.360749196+4.357049476)/2 = 4.358899


Make this our new guess. Divide 19 by this guess:

19/4.358899 = 4.3588988


Average this with our guess:

(4.358899+4.3588988)/2 = 4.3588989


Since the hundredths place has been the same the last few lines, we round to that: 4.36.

Solve for x.
7x = 78

Answers

1.142 is the value of x in the equation  7x = 78.

The given equation is 7x = 78

In the equation x is the variable.

We need to find the value of x.

Divide both sides by 7 to get the value of x

x=78/7

x=11.142

Hence, the value of x in the equation  7x = 78 is 11.142.

To learn more on Equation:

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7x=78---- ---- = 11.147 7

21.12 is 25.6% of what number

Answers

the answer is 82.5 and that's all

Final answer:

The number that 21.12 constitutes 25.6% of is calculated using the formula for percentage. Rearranging the formula to find the Whole and substituting the given values in, we find that 21.12 is 25.6% of 82.5.

Explanation:

The question 21.12 is 25.6% of what number falls under the topic of Calculating Percents in Mathematics. To calculate this, use the formula for percentage which is:

(Part/Whole) = Percentage

In this case, the part is 21.12 and the percentage is 25.6%. The question is asking for the Whole number. We can rearrange the formula to find the Whole:

Whole = Part/Percentage  

Substitute the given values into the formula:

Whole = 21.12/0.256 = 82.5

Therefore, 21.12 is 25.6% of 82.5.

Learn more about Calculating Percents here:

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An environmental agency studying the effects of drought on a lake found that the water level decreased at a constant rate during the first few months of the drought. When the agency began its research, the depth of the lake was 346 feet. The table represents the agency’s susequent observations about the lake's depth.Which equation represents the depth of the lake, y, based on the number of weeks passed, x?

y = -0.6x + 346

y = -1.2x + 346

y = -0.6x

y = -1.2x

Answers

"y = -0.6x + 346" is the one equation among the choices given in the question that represents the depth of the lake, y, based on the number of weeks passed, x. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that has helped you.

Answer:

y = -0.6x + 346

Step-by-step explanation: