Two fractions were written as decimals, then added. the sum is 0.45. what might the decimals be? what might the fractions be? show how you know.

Answers

Answer 1
Since the sum 0.45 as a fraction is 45/100 = 9/20 the number of possible fractions is infinite.
For example:
0.45 = 0.40 + 0.05 = 2/5 + 1/20 = 8/20 + 1/20 = 9/20
0.45 = 0.20 + 0.25 = 1/5 + 1/4 = 4/20 + 5/20 = 9/20
0.45 = 0.17 + 0.28 = 17/100 + 7/25 = 17/100 + 28/100 = 45/100
0.45 = 0.5 + -0.05 = 1/2 + -1/20 = 10/20 + -1/20 = 9/20

In general when a/b + c/d = 9/20 then bd must be a multiple of 20
a/b + c/d = ad/bd + bc/bd = (ad + bc)/bd = n(9/20)

Let’s try 1/3 as the first fraction
1/3 + c/d = 9/20
c/d = 9/20 - 1/3 = 27/60 - 20/60 = 7/60
1/3 + 7/60 = 0.3333… + 0.11666… = 0.45

Here is an extreme example
3/7 + c/d = 9/20
c/d = 9/20 - 3/7 = 63/140 - 60/140 = 3/140
So 3/7 + 3/140 = 9/20 = 0.45
The decimals needed are recurring and hard to find!

Related Questions

7. A minor arc of a circle subtends an angle of 1059 at the centre of the circle. If the radius of the circle is 8.4 cm,
find the length of the major arc.
\(\pi = 22 \\ 7\)

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25 56 times 46 that is the answer becasue it is

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Answer:

sepa pero suerte no hablo ingles

\(M\times 2^3\times 3^7=6^7.\). Find M.

Answers

Step-by-step explanation:

steps by steps are in the picture I hope this helps you!

[tex]M\times 2^3\times 3^7=6^7.[/tex]. Find M.

the following are percentages of fat found in 5 samples of each of two brands of ice cream: a 5.7 4.5 6.2 6.3 7.3 b 6.3 5.7 5.9 6.4 5.1 which of the following procedures is appropriate to test the hypothesis of equal average fat content in the two types of ice cream? a paired t test with 5 df. b . two-sample t test with 4 df. c paired t test with 4 df. d two-sample t test with 9 df. e two-proportion z test

Answers

with 4 df.

The correct answer is d. Two-sample t test with 9 df.

Perform the following operation with the polynomial and pick the correct answer: (2x-5)(x+4) A
2x^2-3x + 20
B 2x^2 +3x-20
c 2x^2-x-20
D 2x^2-5x +4​

Answers

Answer:

B. 2x^2 - 3x - 20

Step-by-step explanation:

FOIL

(2x-5)(x+4)

(2x*x)+(2x*4)+(-5*x)+(-5*4)

(2x^2)+(8x)+(-5x)+(-20)

2x^2 + 3x - 20

Determine whether each point is a solution to the linear inequality 4x – 3y > 9. Write each
ordered pair in the correct box
(-2,-6)
(-3,-4)
(0,0)
(1-2)
10.3)
(5.3)
Solution
Not a Solution

Answers

Answer:

Solutions: (-2. -6), (1, -2), (10, 3), (5, 3)

Step-by-step explanation:

Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph that they felt best fit the data.

Answers

Sylvia and Patrick gathered information on the weight of cars and the mileage they get, and then proceeded to plot the data on a graph.

After plotting the data points, each of them independently drew a line on the graph that they believed best represented the relationship between car weight and mileage. Drawing a line on the graph is a way to visually approximate a trend or pattern in the data. Each line likely represents their interpretation of the general trend or correlation between car weight and mileage. It's important to note that the lines drawn by Sylvia and Patrick are subjective and based on their own perception or understanding of the data. The accuracy of their lines as a representation of the actual relationship between weight and mileage would depend on the quality and quantity of the data gathered and the methodology used to analyze it.

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Given the regression equation y-hat = 15.6 - 3.8x, the predicted y for x = 3 is ___________.

Answers

Answer:  4.2

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Vivian was assigned 12 math problems. Marco was assigned 3 times as many math problems as Vivian. Which equation could be used to find the total number of math problems Marco was assigned?

Answers

Answer:

12·3= Marco's math problems

Step-by-step explanation:

We know that Vivian was assigned 12.

We also know that Marco was assigned 3 times as many as Vivian, meaning we have to multiply:

12·3

=36

So, Marco was assigned 36 math problems.

Hope this helps! :)

The profit earned by a sporting goods outlet is modeled in the graph below, where x is the number of years since the outlet opened. He recorded the profit for the first 10 years since the outlet opened.​

The profit earned by a sporting goods outlet is modeled in the graph below, where x is the number of

Answers

Answer:

Step-by-step explanation:

Vertex of the given parabola is (4, 160)

Since, graph of the parabola is increasing between x = 0 to x = 4,

Profit earned will be between t = 0 and t = 4

Therefore, domain represents the number of years.

Since, profit of the outlet (y-values) vary from x = 0 to x = 10

And value of profit varies from 0 to 160 thousand dollars, so the range of the function will be (0, 160)

Range of the function represents the outlet's profit.

Can someone please actually help me with this

Can someone please actually help me with this

Answers

Answer:

a) Yes

b) No

c) No

d) Yes

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

HELP FAST PLSS I WILL GUVE BRAINLYEST

HELP FAST PLSS I WILL GUVE BRAINLYEST

Answers

The answers are
1. -12
2. 1
3. -14

Find the sum of a third of (a+b) and a fifth of (a+b)

Answers

Answer:

Step-by-step explanation:

Find the sum of a third of (a+b) and a fifth of (a+b)

Geometry. Math nation section 3

Geometry. Math nation section 3

Answers

∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information

Two angles are given.

∠g = (2x-90)°

∠h = (180-2x)°

We have to find the statement which is true about the angles g and h.

If both angles are greater than zero.

Complementary angles add up to 90 degrees

i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.

Substituting the given values:

∠g + ∠h

= (2x-90)° + (180-2x)° = 90°

Thus, ∠g and ∠h are complementary angles.

and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h  are acute.

So the statement ∠g and ∠h are acute angles is also true

Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements

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Which one would it be?

Which one would it be?

Answers

Answer:

424

Step-by-step explanation:

If y = 424

and x is the number that exists as x already

y would equal to: 424

y equals to 424, so therefore the answer should be 424

HELP!please HELP!please

HELP!please HELP!please

Answers

Slope: 8
Y-Intercept: 12
Regression Line: Y=8x+12

slope= 1/4, y intercept=2

Answers

Answer:y = mx + b formaty = 1/4x + 2Hope this helps!!

PLEASE HELP ASAP!!! NEED TO GET I READY DONE RIGHT NOW!!!

PLEASE HELP ASAP!!! NEED TO GET I READY DONE RIGHT NOW!!!

Answers

The sale price, given the discount on the admission price, is 90% of the regular price.

How to find the sale price ?

Let's denote the regular price of a museum ticket as R. When customers purchase museum tickets in advance, they receive a 10% discount off the regular price. So, the sale price (S) can be represented as:

S = R x (1 - discount percentage)

In this case, Anias paid a sale price of $54, and the discount percentage is 10% (or 0.10 as a decimal). Therefore, the relationship between the sale price and the regular price of a museum ticket can be expressed as:

S = R x (1 - 0.10)

S = R x 0.90

The sale price (S) is 90% of the regular price (R).

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• Identify all of the following that are prime numbers. (5 points)
12
197
11
27
031
142
59
163
072
81

Answers

Answer:

11

31

59

163

djdhxnwnxnwjsnhsd

A plot of land for sale has a width of x ft. , and a length that is 8ft less than its width. A farmer will only purchase the land if it measures 240 square feet. What value of x will cause the farmer to purchase the land?.

Answers

If width i.e. x is 20 ft then the farmer will purchase the land.

Given,

width of land = x ft

length of land = ( x - 8 ) ft

Area of land =240 square feet

To determine x use formula,

Area of land =length * width

\(240=(x-8)*x\\\\240=x^2-8x\\\\x^2-8x-240=0\\\\x^2+12x-20x-240=0\\\\x(x+12)-20(x+12)=0\\\\(x+12)(x-20)=0\\\\x=-12\ or\ 20\)

x cannot be negative.

x=20 ft

Thus, if width i.e. x is 20 ft then the farmer will purchase the land.

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A rectangular aquarium fish tank is 10.2 meters long, 5.8 meters wide, and 3.5 meters deep. What is the volume of the fish tank if the top 1/3 is just air

Answers

The volume of the water in the fish tank is 135.27 cubic meters if the top 1/3 of the tank is just air.

To find the volume of the fish tank containing water, we need to find the volume of the fish tank and then subtract the volume that is occupied by the air i.e 1/3 of the volume of the tank.

So, the volume of the fish tank is :

=length x width x depth of the tank

=10.2 meters x 5.8 meters x 3.5 meters

= 203.94 cubic meters

Now we need to find the volume of the air that is occupied by the fish tank which is :

=1/3x the volume of the fish tank

=1/3x203.94 cubic meters

=68.67 cubic meters

The volume of the fish tank containing just water is:

=volume of the fish tank - the volume of the air occupied

= 203.94 cubic meters - 68.67 cubic meters

=135.27 cubic meters

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A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If you reach into the bag at random, what is the probability that you select a tennis ball?

Answers

8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

Which of the following is a
parameterization of the line that passes through the point (2,-3) with a slope of 4?

Which of the following is aparameterization of the line that passes through the point (2,-3) with a slope

Answers

The expression that is a

parameterization of the line that passes through the point (2,-3) with a slope of 4 is option D. x= t and y = 4t - 6, for any t

It is a parameterization of the line that passes through the point (2,-3) with a slope of 4, because the point (2,-3) satisfies the equation x = t and y = 4t - 6 and the slope of the line is

What is a parameterization of the line?

A parameterization of a line is a set of equations that describe the location of points on the line in terms of a parameter. One common parameterization of a line is the point-slope form, which expresses the line as y = mx + b, where m is the slope of the line and b is the y-intercept.

Another common parameterization is the two-point form, which expresses the line as (x - x1)/(x2 - x1) = (y - y1)/(y2 - y1), where (x1, y1) and (x2, y2) are two distinct points on the line.

Therefore, the correct answer is as given above

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If you return an item that has an original price of $180, how much is the restocking fee if the stocking fee is 6%?

Answers

The restocking fee for an item with an original price of $180 and a restocking fee of 6% is $10.80.

A restocking fee is a fee that is charged when a customer returns an item, usually to cover the costs associated with processing the return and getting the item back in a sellable condition. The fee is typically calculated as a percentage of the original price of the item.

In this problem, we are given that the restocking fee is 6% and the original price of the item is $180. To find the restocking fee, we can use the formula:

Restocking fee = (Percentage fee / 100) x Original price

In this case, the percentage fee is 6% or 0.06 (since 6% is equivalent to 6/100). The original price is $180. Substituting these values into the formula gives:

Restocking fee = (0.06) x $180

Restocking fee = $10.80

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the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54

Answers

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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What is the missing degree measure of the third angle of the triangle below?
46°
56°
68°
90°​

What is the missing degree measure of the third angle of the triangle below? 46566890

Answers

Answer:

56 degrees

Step-by-step explanation:

Hello there!

Remember the sum of the angles in a triangle is equal to 180

so to find the missing angle we subtract the given angles from 180

180 - 34 - 90 = 56

so we can conclude that the measure of the missing angle is 56 degrees

Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from

Answer:

third angle Δ = 56°

hope it help you

At a real estate​ agency, an agent sold a house for ​$392,000. The commission rate is ​4.5% for the real estate agency and the commission rate for the agent is ​30% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?

Answers

Answer:

117600

Step-by-step explanation:

392000*0.30

117600

if you roll a regular 6-sided die once, what are the odds of rolling either a 3 or a 6? select the correct answer below: 2:5 1:6 1:2 2:3

Answers

if you roll a regular 6-sided die once then the  odds of rolling either a 3 or a 6 is 2:5, option a is correct.

When rolling a regular 6-sided die once, there are six equally likely outcomes: 1, 2, 3, 4, 5, and 6.

Out of these six outcomes, two of them (3 and 6) meet the condition of interest.

Therefore, the probability of rolling either a 3 or a 6 is 2 out of 6, which can be simplified to 1 out of 3 or 1:3.

the odds of rolling either a 3 or a 6 is 2:5 because we can take 3 or 6 as one outcome.

So the possible outcomes are 5.

The odds of rolling either a 3 or a 6 is 2:5.

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Simplify the expression (5ab3)^2 using the properties of exponents.

Simplify the expression (5ab3)^2 using the properties of exponents.

Answers

Answer: 225 a^2 b^2

first you’d work within the parentheses and multiply 5 by 3, after that you square everything (multiply everything by itself)

Given: DM⩭ME, BM⩭CM, D is the midpoint of AB, E is the midpoint of AC.
Prove: ∠DBM⩭∠ECM

Answers

Complete Question

In Triangle ABC

Given: DM⩭ME, BM⩭CM, D is the midpoint of AB, E is the midpoint of AC.

Prove: ∠DBM⩭∠ECM

Answer:

Proved

Step-by-step explanation:

Given: DM⩭ME, BM⩭CM

Consider Triangles DBM and ECM in the diagram

\(\dfrac{DM}{ME}= \dfrac{BM}{CM}\\\)

Since DB and MC are the third lengths of the two triangles with two congruent lengths, then \(DB \cong MC\)

Therefore:

\(\dfrac{MD}{ME}= \dfrac{BM}{CM}=\dfrac{DB}{MC}\\\\ \triangle DBM \cong \triangle ECM\\$By this fact:\\\angle DBM \cong \angle ECM\)

Given: DMME, BMCM, D is the midpoint of AB, E is the midpoint of AC. Prove: DBMECM
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