1.)Mother bought one loaf bread costing php85.00 she also bought two packs of laundry soap that costs php74.00 a pack and toothpaste that costs php86.00 a box.if she paid a 500-peso bill,how much was her change?
2.)Lora is making a necklace.She needs 32 beads for 1/4 of the necklace.How many beads will she need for 2 necklace?
3.)what is the value of 15|3x2-2-7+1x3?
4.)The cost of canned juice from increase php120.00 to php150.00.What fraction of the original price is the amount of increase?__ _ _ _
5.)Three kilograms of mangoes cost php330.00 while 2 kilograms of guava cost php150.00.How much will you pay if you buy guava and 7 kg of mango?
6.)Observe the pattern 2,5,7,12,19,31,....what is the 9th number?
7.)How many thousands are there in 2500?
8.)108 identical balls will be placed in cans containing 4 balls each and 5 balls each.How many cans are needed if there is an equal number of the two kinds of cans?
9.)The cost of a book is originally php95.00How much would be the new price if it is increased by 20% of its original price?
10.)The ratio of the length to the width of a rectangle is 8.5.the perimeter of the rectangle is 78 cm.What is the area of the rectangle?
No ideas on any of these??
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1.) To calculate the change, we need to subtract the total amount paid from the total cost of the items.
First, calculate the total cost of all the items bought:
Loaf of bread: PHP85.00
Two packs of laundry soap: 2 x PHP74.00 = PHP148.00
Toothpaste: PHP86.00
Total cost = PHP85.00 + PHP148.00 + PHP86.00 = PHP319.00
Next, subtract the total cost from the payment:
Change = PHP500.00 - PHP319.00 = PHP181.00
Therefore, her change is PHP181.00.
2.) To find the number of beads for 2 necklaces, we need to multiply the number of beads needed for one necklace by 2.
Number of beads needed for 1/4 of the necklace = 32 beads
Number of beads needed for 2 necklaces = 32 beads x 2 = 64 beads
Therefore, she will need 64 beads for 2 necklaces.
3.) To simplify the expression 15|3x2-2-7+1x3, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Start by evaluating the multiplication and division:
15|3x2-2-7+1x3
15|6-2-7+3
Next, perform the addition and subtraction:
15|6-2-7+3
15|4-7+3
15|-3+3
15|0
Finally, multiply the absolute value (|) of the simplified expression by 15:
15 x 0 = 0
Therefore, the value of 15|3x2-2-7+1x3 is 0.
4.) To find the fraction of the original price represented by the amount of increase, we need to calculate the difference in prices and divide it by the original price:
Original price: PHP120.00
New price: PHP150.00
Amount of increase: PHP150.00 - PHP120.00 = PHP30.00
Fraction = Amount of increase / Original price
Fraction = PHP30.00 / PHP120.00 = 1/4
Therefore, the fraction of the original price represented by the amount of increase is 1/4.
5.) To calculate the total cost of buying guava and 7 kg of mango, we need to multiply the cost per kilogram by the respective amounts.
Cost of 3 kg of mangoes: PHP330.00
Cost of 1 kg of mangoes: PHP330.00 / 3 = PHP110.00
Cost of 2 kg of guava: PHP150.00
Total cost = Cost of 2 kg guava + Cost of 7 kg mangoes
Total cost = PHP150.00 + (PHP110.00 x 7) = PHP150.00 + PHP770.00 = PHP920.00
Therefore, you will pay PHP920.00 if you buy guava and 7 kg of mango.
6.) To find the 9th number in the given pattern 2, 5, 7, 12, 19, 31, ... we need to identify the pattern or rule that generates the sequence.
If we carefully observe, we can see that each number in the sequence is obtained by adding the two previous numbers.
The pattern is:
2 + 5 = 7
5 + 7 = 12
7 + 12 = 19
12 + 19 = 31
Therefore, the 9th number in the sequence can be found by continuing the pattern:
31 + 19 = 50
Therefore, the 9th number in the sequence is 50.
7.) To find the thousands in the number 2500, we need to look at the digit in the thousands place.
In the number 2500, the digit in the thousands place is 2.
Therefore, there are 2 thousands in the number 2500.
8.) To find the number of cans needed for 108 identical balls, we need to divide the total number of balls by the number of balls each can can hold.
For cans containing 4 balls each:
Number of cans = 108 balls / 4 balls per can = 27 cans
For cans containing 5 balls each:
Number of cans = 108 balls / 5 balls per can = 21.6 cans
Since we cannot have a fraction of a can, we round up to the nearest whole number.
Therefore, 22 cans are needed if there is an equal number of the two kinds of cans.
9.) To find the new price of a book after a 20% increase from its original price, we need to calculate the amount of increase and add it to the original price.
Original price: PHP95.00
Amount of increase: 20% of PHP95.00 = (20/100) x PHP95.00 = PHP19.00
New price = Original price + Amount of increase
New price = PHP95.00 + PHP19.00 = PHP114.00
Therefore, the new price of the book would be PHP114.00.
10.) To find the area of a rectangle, we need to know the length and width.
The ratio of the length to the width is given as 8.5, which means the length is 8.5 times the width.
Let the width be w, then the length will be 8.5w.
Perimeter of a rectangle = 2(length + width)
Given perimeter = 78 cm
78 = 2(8.5w + w)
78 = 2(9.5w)
78 = 19w
w = 78/19
w ≈ 4.105 cm (approx)
So, the width is approximately 4.105 cm.
To find the length:
Length = 8.5w = 8.5 x 4.105 ≈ 34.894 cm (approx)
Area of the rectangle = length x width
Area = 34.894 cm x 4.105 cm ≈ 143 cm² (approx)
Therefore, the area of the rectangle is approximately 143 cm².