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alexira [117]
3 years ago
14

Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. How much

of the pot is left over?
Mathematics
2 answers:
Xelga [282]3 years ago
6 0

Answer: \frac{1}{4} of the pot is left.


Step-by-step explanation:

Let x be the total amount of pasta in the pot .

Then the amount of pasta her mother got= \frac{1}{12}x

The amount of pasta her brother got=  \frac{1}{6}x

The total amount of pasta he serve= \frac{1}{12}x+\frac{1}{6}x

First convert them in like fractions,then

The total amount of pasta he serve=\frac{1}{12}x+\frac{2}{12}x=\frac{x+2x}{12}=\frac{3x}{12}=\frac{1}{4}x

Hence, \frac{1}{4} of the pot is left over.

Lerok [7]3 years ago
3 0
1/6 also is 2/12. So, there is 9/12 of the pasta left.
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Using -cos(175/175.0151136) we find the

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8 0
3 years ago
ABCDE ~ FGHIJ. Figure 2 is a dilation of figure 1, and the scale factor is 0.6. Given that FG = 12 cm, find AB.
avanturin [10]
We known that the figures are similar if and only if the corresponding sides and and angles have the common scale factor. In this item, the scale factor is 0.6. The length of AB is determined by multiplying the length of FG with the scale factor. That is,
                            AB = FG x scale factor
                            AB = (12 cm) x 0.6
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Thus, the length of side AB is 7.2 cm. 
6 0
3 years ago
Read 2 more answers
What is the value of c?<br> O 4 units<br> O 5 units<br> O 6 units<br> O 7 units
Aleksandr [31]

The value of c is 5 units.

Step-by-step explanation:

Given,

WY = a =  4

ZY = b = 3

As WYZ is forming a right angle triangle, therefore, we can use pythagorean theorem to find the value of c

a^2+b^2=c^2\\(4)^2+(3)^2=c^2\\16+9=c^2\\c^2=25

Taking square root on both sides

\sqrt{c^2}=\sqrt{25}\\c=5

The value of c is 5 units.

Keywords: triangle, square root

Learn more about triangles at:

  • brainly.com/question/10754198
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6 0
4 years ago
Arvin has $10000 to invest. He invests part in a term deposit paying 5%/year, and the remainder in Canada savings bonds paying 3
Delicious77 [7]

Answer:

$4,562.5

Step-by-step explanation:

The amount Arvin has to invest, P = $10,000

The interest paid on the investment in the term deposit = 5%/year

The interest paid om the investment in Canada savings bonds = 3.4%/year

The amount Arvin earned at the of the year as simple interest, A = $413

Let, <em>x</em>, represent the amount Arvin invested in the term deposit and let, <em>y</em>,<em> </em>represent the amount he invested in Canada savings bonds, we can get the following system of equations

x + y = 10,000...(1)

0.05·x + 0.034·y = 413...(2)

Making <em>y</em> the subject of equation (1) and substituting the value in equation (2), we get;

From equation (1), we get, y = 10,000 - x

Plugging the above value of <em>y</em> in equation (2) gives;

0.05·x + 0.034 × (10,000 - x) = 413

∴ 0.05·x - 0.034·x + 340 = 413

x = (413 - 340)/(0.05 - 0.034) = 4,562.5

Therefore, the amount Arvin invested in the term deposit at 5%, x = $4,562.5

<em>(y = 10,000 - x</em>

<em>∴ y = 10,000 - 4,562.5 = 5,437.5</em>

<em>The amount Arvin invested in Canada savings bonds, y = $5,437.5.)</em>

8 0
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PolarNik [594]

Answer:

The answer is A.

15 + 4 + 3 = 15 + 7

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3 years ago
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