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Natali [406]
2 years ago
12

Jackie buys 51 kilograms of rice for the school cafeteria. How many grams of rice did Jackie buy?​

Mathematics
1 answer:
tresset_1 [31]2 years ago
3 0
Jackie bought 51000 grams of rice. Because there are 1000 grams in a kilogram so, 51 x 1000 is 51000.
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A 2 by 3 rectangle contains 8 squares. A 3 by 4 rectangle contains 20 squares. A 4 by 6 rectangle contains 50 squares. What size
scZoUnD [109]

Answer:

The rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8

Step-by-step explanation:

The given parameters are;

A 2 by 3 rectangle contains 8 squares

A 3 by 4 rectangle contains 20 squares

A 4 by 6 rectangle contains 50 squares  

We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;

2 by  3 rectangle contains 8 squares

3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4

4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5

The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);

Column,     1,       2,     3,      4,       5,     6,        7,       8,         9,           10,         11

Row

1

2

3

4

5

6

7

8

9

10

11

It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2

From the matrix, the rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.

4 0
3 years ago
What is the measure of angle DEG on circle O? Please help! 50 points!
SIZIF [17.4K]

Answer:

50 degrees

Step-by-step explanation:

4 0
3 years ago
What is the value of x?
Aleksandr [31]

Answer:

x = 20

Step-by-step explanation:

these are vertical angles and vertical angles are congruent

3x+50 = 6x-10

3x = 6x - 60

-3x = -60

x = 20

6 0
3 years ago
Solve for x 6(4x+1)=78
FromTheMoon [43]

Answer:

x=3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Juans class has 10 girls and 15 boys.The ratio of girls to boys in Steven’s class is the same as the ratio of girls to juans cla
DaniilM [7]

J=15b/10g

S=21b/g w/ the ratio 3/2 (15/10=3/2)

1) Form an equation (21/g=3/2).

2) Since you are trying to find the denominator, multiply 3/2 so that the numerators are the same (3×7=21 2×7=14).

3) The answer will be whatever the denominator is at the end.

The answer is there are 14 girls in Steven's class.

4 0
3 years ago
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