
Rahul Yadav
MemberForum Replies Created
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If you have 4 teddy bears and your friend gives you 1 more teddy bear, you can add the two quantities together to find out how many teddy bears you have altogether.
4 + 1 = 5
You would have 5 teddy bears altogether after your friend gives you 1 more teddy bear.
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Rahul Yadav
MemberJune 23, 2023 at 4:19 pm in reply to: Math question (suitable for grades 1 to 8):If Sally has 7 apples and she gives 3 apples to her friend, we can subtract 3 from 7 to find out how many apples she has left.
7 – 3 = 4
Sally has 4 apples left after giving 3 apples to her friend.
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To find the perimeter and area of a rectangle with a length of 12 cm and a breadth of 8 cm, we can use the following formulas:
Perimeter of a rectangle: P = 2(length + breadth)
Area of a rectangle: A = length × breadth
Using these formulas, we can calculate the perimeter and area:
Perimeter: P = 2(12 cm + 8 cm) = 2(20 cm) = 40 cm
Area: A = 12 cm × 8 cm = 96 cm²
Therefore, the perimeter of the rectangle is 40 cm, and the area is 96 cm².
2. As for the quadrilateral with one pair of opposite sides parallel and equal in length, and all angles being right angles, this describes a special type of quadrilateral called a rectangle. A rectangle has two pairs of parallel sides and all four angles are right angles.
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To find the cost of paving the footpath, we need to determine the area of the footpath and then multiply it by the cost per square meter.<div>
</div><div>Let’s assume the length of the park (excluding the footpath) is L meters. The width of the park (excluding the footpath) is given as 13 meters.</div><div>
</div><div>The length of the outer rectangle, including the footpath, would be L + 4 meters (2 meters for each side of the footpath).</div><div>
</div><div>The width of the outer rectangle, including the footpath, would be 13 + 4 meters (2 meters for each side of the footpath).</div><div>
</div><div>The area of the outer rectangle can be calculated by multiplying its length and width:</div><div>
</div><div>Area of the outer rectangle = (L + 4) * (13 + 4)</div><div>
</div><div>We are given that the area of the outer rectangle is 285 square meters, so we can write:</div><div>
</div><div>(L + 4) * (13 + 4) = 285</div><div>
</div><div>Expanding this equation, we have:</div><div>
</div><div>L * 13 + L * 4 + 4 * 13 + 4 * 4 = 285</div><div>
</div><div>13L + 4L + 52 + 16 = 285</div><div>
</div><div>17L + 68 = 285</div><div>
</div><div>17L = 285 – 68</div><div>
</div><div>17L = 217</div><div>
</div><div>L = 217 / 17</div><div>
</div><div>L = 12.7647 meters (approximately)</div><div>
</div><div>Now that we know the length of the park (excluding the footpath), we can calculate the area of the footpath:</div><div>
</div><div>Area of the footpath = (L + 4) * (13 + 4) – L * 13</div><div>
</div><div>Area of the footpath = (12.7647 + 4) * (13 + 4) – 12.7647 * 13</div><div>
</div><div>Area of the footpath = 16.7647 * 17 – 165.9411</div><div>
</div><div>Area of the footpath ≈ 283.3529 square meters</div><div>
</div><div>Finally, we can calculate the cost of paving the footpath by multiplying the area of the footpath by the cost per square meter:</div><div>
</div><div>Cost of paving the footpath = Area of the footpath * Cost per square meter</div><div>
</div><div>Cost of paving the footpath = 283.3529 * 5</div><div>
</div><div>Cost of paving the footpath ≈ Rs 1416.76</div><div>
</div><div>Therefore, the cost of paving the footpath at the rate of Rs 5 per square meter would be approximately Rs 1416.76.</div> -
To find the probability of selecting a fruit-flavored candy, we divide the number of fruit-flavored candies by the total number of candies in the jar.<div>
</div><div>Number of fruit-flavored candies = 12</div><div>Total number of candies = 20</div><div>Probability of selecting a fruit-flavored candy = Number of fruit-flavored candies / Total number of candies</div><div>
</div><div>Probability = 12 / 20 = 0.6</div><div>
</div><div>Therefore, the probability of selecting a fruit-flavored candy is 0.6 or 60%.</div> -
<div>Here are five pairs of integers (a, b) explained in a more detailed manner, such that a ÷ b = -3:
</div><div>
</div><div>(9, -3): When we divide 9 by -3, we get -3 as the quotient. So, 9 ÷ (-3) = -3. This means that if we divide 9 into groups of -3, we would have -3 groups in total.</div><div>
</div><div>(-15, 5): When we divide -15 by 5, we obtain -3 as the quotient. Therefore, -15 ÷ 5 = -3. This implies that if we divide -15 into groups of 5, we would end up with -3 groups.</div><div>
</div><div>(12, -4): Dividing 12 by -4 gives us -3 as the quotient. Hence, 12 ÷ (-4) = -3. This indicates that if we divide 12 into groups of -4, the total number of groups would be -3.</div><div>
</div><div>(-21, 7): If we divide -21 by 7, the quotient is -3. So, -21 ÷ 7 = -3. This implies that if we divide -21 into groups of 7, the number of groups would be -3.</div><div>
</div><div>(30, -10): Dividing 30 by -10 yields -3 as the quotient. Thus, 30 ÷ (-10) = -3. This means that if we divide 30 into groups of -10, the total number of groups would be -3.</div><div>
</div><div>These pairs of integers satisfy the condition where the quotient obtained by dividing a by b is equal to -3. </div>