Aspen has 306 306306 green beads and 210 210210 silver beads. For every 5 cm 5cm5, start text, c, m, end text of a belt that Aspen sews, they use 40 4040 green beads and 24 2424 silver beads.
After how many centimeters of the belt will Aspen have equal numbers of green and silver beads left?
Aspen has a total of 306306 green beads and 210210 silver beads. For every 5 cm of the belt, Aspen uses 40 green beads and 24 silver beads.
Let's calculate the number of green beads used for 5 cm of the belt:
306306 green beads / 40 green beads per 5 cm = 7657.65 sets of 5 cm
Similarly, let's calculate the number of silver beads used for 5 cm of the belt:
210210 silver beads / 24 silver beads per 5 cm = 8758.75 sets of 5 cm
Since Aspen needs to have an equal number of green and silver beads left, they need the same number of sets of 5 cm for both green and silver beads.
To find how many sets of 5 cm are needed, we need to find the least common multiple (LCM) of 7657.65 and 8758.75.
LCM(7657.65, 8758.75) = 1531.53 cm
Therefore, Aspen will have an equal number of green and silver beads left after sewing 1531.53 cm of the belt.
Aspen has 306 green beads and 210 silver beads. For every 5 cm of a belt that Aspen sews, they use 40 green beads and 24 silver beads.
After how many centimeters of the belt will Aspen have equal numbers of green and silver beads left?
To find out after how many centimeters of the belt Aspen will have an equal number of green and silver beads left, we need to determine the number of green and silver beads used per centimeter.
For every 5 cm of the belt, Aspen uses 40 green beads and 24 silver beads. Therefore, the number of green beads used per centimeter is 40/5 = 8 green beads per centimeter, and the number of silver beads used per centimeter is 24/5 = 4.8 silver beads per centimeter.
To have an equal number of green and silver beads left, Aspen needs to use the same number of centimeters for both. Therefore, we need to find the least common multiple (LCM) of the numbers 8 and 4.8.
LCM(8, 4.8) = 24.
Therefore, Aspen will have an equal number of green and silver beads left after sewing 24 centimeters of the belt.
It is 30
Apologies for the incorrect calculation.
To find out after how many centimeters of the belt Aspen will have an equal number of green and silver beads left, we need to determine the number of green and silver beads used per centimeter.
For every 5 cm of the belt, Aspen uses 40 green beads and 24 silver beads. Therefore, the number of green beads used per centimeter is 40/5 = 8 green beads per centimeter, and the number of silver beads used per centimeter is 24/5 = 4.8 silver beads per centimeter.
To have an equal number of green and silver beads left, Aspen needs to use the same number of centimeters for both. Therefore, we need to find the least common multiple (LCM) of the numbers 8 and 4.8.
The LCM(8, 4.8) = 24.
Therefore, Aspen will have an equal number of green and silver beads left after sewing 24 centimeters of the belt.
Factor completely
25+70x+49^2
To factor completely, we need to rewrite the expression in the form of a perfect square trinomial.
Starting with 25 + 70x + 49^2, we can rewrite it as:
(5 + 7x)^2
So, the factored form of 25 + 70x + 49^2 is (5 + 7x)^2.