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3 years ago

When 'x' and 'y' are in direct proportion , then the relation between 'x' and 'y' is __________

Mathematics

1 answer:

Bess [88]3 years ago

5 0

Step-by-step explanation:

If two quantities x and y vary (change) together in such a manner that the ratio of their corresponding values remains constant, then x and y are said to be in direct proportion.

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Is this true or false? A lattice polygon is a figure on a grid with every vertex at a grid point.

adoni [48]

Answer:

Step-by-step explanation:

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3 years ago

Which property justifies the following statement?

nikitadnepr [17]

Addition Property of Equality

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4 years ago

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Cody bought 2 pair of gloves and 4 hats for $43. Tori bought 2 pairs of gloves and 2 hats. Find the prices of the gloves and hat

Nuetrik [128]

Question:

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. What were the prices for the gloves and hats?

Answer:

Price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5

Solution:

Let "g" be the price of one pair of gloves

Let "h" be the price of 1 hat

Cody bought 2 pair of gloves and 4 hats for $43

Therefore, we frame a equation as:

2 x price of one pair of gloves + 4 x price of 1 hat = 43

$2 \times g + 4 \times h = 43$

2g + 4h = 43 ----------- eqn 1

Tori bought two pairs of gloves and two hats for $30.00

Therefore, we frame a equation as:

2 x price of one pair of gloves + 2 x price of 1 hat = 30

$2 \times g + 2 \times h = 30$

2g + 2h = 30

Divide by 2

g + h = 15

g = 15 - h ----------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

2(15 - h) + 4h = 43

30 - 2h + 4h = 43

2h = 43 - 30

2h = 13

Substitute h = 6.5 in eqn 2

g = 15 - 6.5

Thus price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5

6 0

3 years ago

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?5.6j – 0.12 = 4 1.1j

Sergeu [11.5K]

The answer is: "100" .
________________________
Explanation:
__________________________
Looking at the ENTIRE EQUATION (all numeric values on BOTH sides of the equation), we can see that the decimal that with the most decimal places goes to the right, to the hundredths place (i.e. two places); so by multiplying the ENTIRE EQUATION (BOTH SIDES—i.e. EACH term on EACH SIDE) by "100", we get rid of ALL the decimals, as follows:
_________________________________________
100* {5.6j – 0.12 = 41.1 j ) ;

↔ (100* 5.6j) – (100 * 0.12) = (100 * 41.1 j );

↔ 560 j – 12 = 4110 j ;
______________________________

7 0

3 years ago

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Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a tot

Tresset [83]

Answer:

6 bags of snack mix

Step-by-step explanation:

x bags of snack mix

y bottles of water

The equations in the question is given as;

20.00 = 2.50x + 1.00y (i)

11 = x + y (ii)

From eqn (ii);

11 - y = x

substitute the value of x in eqn (i);

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = - 1.50 y

- 7.5 = - 1.50 y

y = - 7.5 / (- 1.5) = 5

Since we are interested in the value of x. Substitute the value of y in eqn (ii);

11 = x + 5

x = 11 - 5 = 6

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3 years ago