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julsineya [31]
2 years ago
13

5

Mathematics
1 answer:
irina [24]2 years ago
6 0
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Alice and Bob share an allotment. The ratio of the area of Alice's
marusya05 [52]

Answer:

<h2>11:39</h2>

Step-by-step explanation:

Bob's portion of the allotment :

Total\:ratio=3+2 =5\\\\= \frac{2}{5}

Alice's portion :

Total\:ratio=3+2 =5\\\\= \frac{3}{5}

Vegetables are :

Total\:ratio=7+3 =10\\\\= \frac{7}{10} of the total area

Vegetables are :

Total\:ratio=4+1 =5\\\\= \frac{4}{5} of Alice's portion, or:

\frac{4}{5} \times(\frac{3}{5} ) = \frac{12}{25}

Bob's portion fraction (b):

\frac{12}{25}  + b = \frac{7}{10}

L.C.M of 25 and 10 =50

\frac{24}{50}  + b = \frac{35}{50} \\\\b =\frac{11}{50}\\\\ Ratio:\\50 - 11 = 39

Bob's vegetable to fruit ratio is 11 : 39

4 0
2 years ago
We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm
PolarNik [594]

Answer:

1.5

2.1/5

Step-by-step explanation:

3 0
1 year ago
Write the equation of a line that is parallel to 4x-2y=3 and is passing through the point (2,1)
Temka [501]

Answer:

y= 2x -3

Step-by-step explanation:

Let's rewrite the given equation into the form of y=mx+c, so that we can find the gradient of the line. In this form, m (coefficient of x) is the gradient.

4x -2y= 3

2y= 4x -3

<em>Divide</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>

y = 2x - 1 \frac{1}{2}

Thus the gradient is 2.

Parallel lines have the same gradient thus the line would also have a gradient of 2.

Substitute m=2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x=2, y=1,

1= 2(2) +c

1= 4 +c

c= 1 -4

c= -3

Thus, the equation of the line is y= 2x -3.

5 0
2 years ago
Milo is a show dog. Her trainer wants her to have a beautiful and brilliant coat.
icang [17]

Answer:

did she like it?

Step-by-step explanation:

3 0
3 years ago
Bert and Ernie are missing each other and their friend Big Bird. They want to meet at Big Birds nest which is halfway from their
OLga [1]

Answer:

  21 miles

Step-by-step explanation:

Each of the distances is the same, so we have ...

  5x +4 = 15x -30

  34 = 10x

  3.4 = x

Then the distances are ...

  5(3.4) +4 = 21 . . . . miles

Bert and Ernie each live 21 miles from Big Bird's nest.

7 0
3 years ago
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