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almond37 [142]
3 years ago
11

Express the location of the point on the number line as both a fraction and a decimal.

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

Fraction 1/6. Decimal .6 or 1.6

Step-by-step explanation:

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Drag the tiles to the correct boxes to complete the pairs.
Ne4ueva [31]

Answer:

Part 1) -1.25 -------> 2.75/(-2.2)

Part 2) -4\frac{1}{3} --------> (-2\frac{3}{5}) / (\frac{3}{5})

Part 3) \frac{2}{3} ------> (-\frac{10}{17}) / (-\frac{15}{17})

Part 4) 3 ------> (2\frac{1}{4}) / (\frac{3}{4})

Step-by-step explanation:

Part 1) we have

2.75/(-2.2)

To calculate the division problem convert the decimal number to fraction number

2.75=275/100\\ -2.2=-22/10      

so

(275/100)/(-22/10)

Remember that

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(275/100)/(-22/10)=(275/100)*(-10/22)=-(275*10)/(22*100)=-(275)/(220)

Simplify

Divide by 22 both numerator and denominator

-(275)/(220)=-125/100=-1.25

Part 2) we have

(-2\frac{3}{5}) / (\frac{3}{5})

To calculate the division problem convert the mixed number to an improper fraction  

(-2\frac{3}{5})=-\frac{2*5+3}{5}=-\frac{13}{5}

so

(-\frac{13}{5}) / (\frac{3}{5})

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(-\frac{13}{5}) / (\frac{3}{5})=(-\frac{13}{5})*(\frac{5}{3})=-\frac{13*5}{5*3}=-\frac{13}{3}

Convert to mixed number

-\frac{13}{3}=-(\frac{12}{3}+\frac{1}{3})=-4\frac{1}{3}

Part 3) we have

(-\frac{10}{17}) / (-\frac{15}{17})

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(-\frac{10}{17}) / (-\frac{15}{17})=(-\frac{10}{17})*(-\frac{17}{15})=\frac{10*17}{17*15}=\frac{10}{15}

Simplify

Divide by 5 both numerator and denominator

\frac{10}{15}=\frac{2}{3}

Part 4) we have

(2\frac{1}{4}) / (\frac{3}{4})

To calculate the division problem convert the mixed number to an improper fraction  

(2\frac{1}{4})=\frac{2*4+1}{4}=\frac{9}{4}

so

(\frac{9}{4}) / (\frac{3}{4})

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(\frac{9}{4}) / (\frac{3}{4})=(\frac{9}{4})*(\frac{4}{3})=\frac{9*4}{4*3}=\frac{9}{3}=3

8 0
3 years ago
1. 15 - (r +3 - 4) for r=3<br> @ 10<br> ® 7<br> 015
chubhunter [2.5K]

Answer:

3 add 1013 hay so youre welcome hoop

Step-by-step explanation:

just add it up

3 0
3 years ago
Jen fills her has tank up with 12 gallons of gas for $30.60. How much will it cost to fill up a 17-gallon tank?
tigry1 [53]

Answer:

$43.35 (I believe)

Step-by-step explanation:

I tried to find the price to fill up 1 gallon by dividing the $30.60 by 12. 30.6/12 = 2.55 and then I multiplied $2.55 by 17 and got $43.35

4 0
2 years ago
Which linear function includes the points (3,9) and (-2,-11)
Murrr4er [49]
General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (3,9),\ (-2,-11)\ into\ equation\\\\ \left \{ {{9=3a+b}\ \ \ \ \atop {-11=-2a+b\ |*-1}} \right.\\\\ \left \{ {{9=3a+b}\ \ \ \ \atop {11=2a-b}} \right.\\+----\\\\Addition\ method\\\\20=5a\ \ |:5\\\\a=4\\ b=9-3a\\b=9-3*4=9-12=-3\\\\Answer\ y=4x-3&#10;
7 0
3 years ago
Read 2 more answers
A fish story: The mean length of one-year-old spotted flounder, in millimeters, is 127 with standard deviation of 22, and the me
pishuonlain [190]

Answer:

The z-score for this length is of 1.27.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

One-year-old flounder:

Mean of 127 with standard deviation of 22, which means that \mu = 127, \sigma = 22

Anna caught a one-year-old flounder that was 155 millimeters in length. What is the z-score for this length

This is Z when X = 155. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{155 - 127}{22}

Z = 1.27

The z-score for this length is of 1.27.

4 0
3 years ago
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