Explain how 7/10 and 70/100 are equivalent decimals


Answer 1

It is proved that the given decimals are equivalent decimals.

What are equivalent fractions? What is a mathematical function, equation and expression?

  • equivalent fractions : Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value.
  • function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
  • expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • equation : A mathematical equation is used to equate two expressions.

Given are the fractions -

7/10 and 70/100

We have the following fractions -

A = (7/10) = 0.7

B = 70/100 = (7 x 10)/(10 x 10) = (7/10)

B = (7/10) = 0.7

It can be seen that fraction A equals to B.

Therefore, it is proved that the given decimals are equivalent decimals.

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Answer 2

Step-by-step explanation:

7/10 in percentage form is 70%

70/100 in percentage form is 70%

Simple as that

Related Questions

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One size of pizza served at Joe’s Pizza Parlor is 10in. in diameter. What is the area of this particular (circular) size pizza? (Pie=3.14)
An article in the ASCE Journal of Energy Engineering ("Overview of Reservoir Release Improvements at 20 TVA Dams," Vol. 125, April 1999, pp. 1-17) presents data on dissolved oxygen concentration from streams below 20 dams in the Tennessee Valley Authority system. The sample mean from the observations equals 3.234 and the sample standard deviation is s = 2.121. a) Calculate the 95% two-sided prediction interval on the dissolved oxygen concentration for the next stream that will be tested. (rounded to two decimal places)
Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls numbered 1, . . . , 12. Finally, box C contains four balls numbered 1, . . . , 4. One ball is selected from each urn uniformly at random. (a) What is the probability that the ball chosen from box A is labeled 1 if exactly two balls numbered 1 were selected(b) What is the probability that the ball chosen from box B is 12 if the arithmetic mean of the three balls selected is exactly 7?

Find the equation of the line through the points (-3,-3) and (2,-1) using point-slope form. Then rewrite theequation in slope-intercept form.


Answer: See below

Step-by-step explanation:

The point-slope equation is y-y₁=m(x-x₁). Since we don't know our slope, we can use the formula m=(y_(2)-y_(1)  )/(x_(2)-x_(1)  ) to find the slope. All we have to do is use the coordinate we were given and plug it into the formula.

m=(-1-(-3))/(2-(-3)) =(2)/(5)

Now that we have the slope, we can fill out the point-slope equation.



This is the point-slope form.

Now, we can distribute and solve to get slope-intercept form.



Final answer:

The equation of the line through the points (-3,-3) and (2,-1) can be found using point-slope form. It is y = (2/5)x - 9/5 in slope-intercept form.


To find the equation of a line using the point-slope form, we need to determine the slope of the line and use one of the given points to write the equation. Firstly, let's find the slope of the line using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the coordinates (-3, -3) and (2, -1) into the formula gives us m = (-1 - (-3)) / (2 - (-3)) = 2/5. Now, we can choose one of the points (for example, (-3, -3)) and use the point-slope form equation: y - y1 = m(x - x1). Substituting the values, we get y - (-3) = (2/5)(x - (-3)). Simplifying the equation yields y + 3 = (2/5)(x + 3), which is the equation of the line in point-slope form.

To rewrite the equation in slope-intercept form y = mx + b, we need to isolate the y variable. Distributing the (2/5) to (x + 3) in the point-slope form equation gives us y + 3 = (2/5)x + 6/5. Subtracting 3 from both sides gives us y = (2/5)x + 6/5 - 3. Simplifying further, the equation becomes y = (2/5)x - 9/5. Therefore, the equation of the line through (-3, -3) and (2, -1) in slope-intercept form is y = (2/5)x - 9/5.

Learn more about Equation of a line here:



Sara is completing the square to find the maximum or minimum value of the function f(x) = (2 - x) (5 + x). What is the first step that Sara must take? Does the function have a maximum or minimum value? What is that value?A) multiply the binomials; maximum value;
B) multiply the binomials; minimum value;
C) set each factor equal to zero and solve for x; minimum value;
D) set each factor equal to zero and solve for x; maximum value;


Definitely multiply out the given factors:

f(x) = 10 + 2x - 5x - x^2, or  f(x) = -x^2 - 3x + 10
Find the derivative:  f '(x) = -2x - 3
Set the deriv. = to 0 and solve for x:  -2x = 3, and x = -3/2
This x = -3/2 is the x-coordinate of the max value.  The y-coord. is

f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25

I realize that this result does not agree with any of the four possible answers.  Please ensure that y ou have copied down this problem completely and correctly.

On an exam, the mean score is 78 points, with a standard deviation of 6 points. Assuming normal distribution of the scores, approximately what percentage of students received more than 85?A.12% B.17% C.8% D.9% E.None of the above


Answer: A. 12%

Step-by-step explanation:-

Given : In an exam , Mean score : \mu=78\text{ points}

Standard deviation : 6\text{ points}

Let X be a random variable that represents the scores of students.

We assume that the points are normally distributed.

Z-score :z=(x-\mu)/(\sigma)

For x = 85, we have


Then using standard normal distribution table, the probability that the students received more than 85 is given by :-


Hence, the percentage of students received more than 85 =12%

Which equation is a function?O A. X = -2
O B. Y= 2x – 9
O C. y² = x - 2
O D. x² + y² = 9


the answer is B -- no matter the x factor y should be single

Guided Practice1. A manufacturer gets a shipment of 600 batteries of which 50 are
defective. The quality control manager tests a random sample of
30 batteries in each shipment. Simulate the test by generating random
numbers between 1 and 600. How well does your sample represent the
shipment? Explain. (Explore Activities 1 and 2)




Step-by-step explanation:

600 -50 ÷ 30

550 ÷30 = 18.333

Please help ASAP! Thank you!


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