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laiz [17]
3 years ago
15

27 1/5 over 4/5 as a unit rate

Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

\frac{34}{1}  or 34

Step-by-step explanation:

we know that

To find the unit rate divide 27 1/5 by 4/5

but first

Convert mixed number to an improper fraction

27\frac{1}{5}=27+\frac{1}{5}=\frac{27*5+1}{5} =\frac{136}{5}

so

\frac{136}{5}:\frac{4}{5}=\frac{136}{4}=\frac{34}{1}

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The map ratio of a a map is 1 : 2 000 000. Find the distance on the map which represent an actual distance of 36Km.
yaroslaw [1]

Answer:

72,000,000

Step-by-step explanation:

36x2,000,000= 72,000,000

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Show how to to find the product 0.19 times 10 to the power of 3
rosijanka [135]

Answer:

190

Step-by-step explanation:

10x10x10=1000

then multiply 1000 by 0.19

190

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A cylindrical stool has a base of diameter 70cm and height 25cm.find the cost of painting 50 such atools.,if the cost per m2 is
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It would be 32cm because the diameter corresponding
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3 years ago
F divides HJ in the ratio 3:1. If H = (-11,7) and J = (5,3), what are the<br> coordinates of F?
Hatshy [7]

Answer:

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) =  (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

l_{HF} = \sqrt{\left (4-7  \right )^{2}+\left (1-(-11)  \right )^{2}} = \sqrt{\left (-3  \right )^{2}+\left (12  \right )^{2}} = 3\cdot \sqrt{17}

Similarly, we check the length of HJ, to get;

l_{HF} = \sqrt{\left (3-7  \right )^{2}+\left (5-(-11)  \right )^{2}} = \sqrt{\left (-4  \right )^{2}+\left (16  \right )^{2}} = 4\cdot \sqrt{17}

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)

7 0
3 years ago
Determine the intercepts of the line.<br> x-intercept: ( , )<br> y-intercept: ( , )
olga2289 [7]

Answer:

y-intercept = 275

x-intercept = 125

Step-by-step explanation:

The y-intercept is the point on your line where x=0. On this line, the y-intercept is the point (0,275) (x,y)

The x-intercept is the point on your line where y=0. On this line, the x-intercept is the point (125,0) (x,y)

6 0
2 years ago
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