Answer:
48 cubes can be cut from the wooden cuboid
Step-by-step explanation:
Total calculate this, we will first of all find the volume of the cuboid, and the volume of the cubes to be cut, then divide the volumes to see how many cubes can be cut from the cuboid.
Volume of cuboid = 12 × 12 × 9 = 1296 cm
volumes of each cube to be cut = 3 × 3 × 3 = 27 cm
Next, we will divide the volume of cuboid by the volume of the cubes:
Number of cubes = Volume of cuboid ÷ volume of cubes
Number of cubes = 1296 ÷ 27 = 48 cubes
Therefore, 48 cubes of sides 3cm can be cut from the wooden cuboid
25x + 15y = 265
x+y = 13
Step-by-step explanation:
Step 1:
Given
Number of shirts Leah can iron in an hour = 25 shirts
Number of shirts Christopher can iron in an hour = 15 shirts
Total number of hours worked by both = 13 hours
Total number of shirts ironed by them = 265 shirts
Step 2 :
Let x represent the number of hours Leah works and y represent the number of hours Christopher works
Leah irons 25 shirts in one hour, so in x hours he would iron 25x shirts
Christopher irons 15 shirts in one hour, so in y hours he would iron 15y shirts
Given total shirts ironed by them together is 265 , we have
25x + 15y = 265
They worked a combined of 13 hours, so
x+y = 13
Step 3:
The system of equations that could be used to determine the number of hours Leah worked and the number of hours Christopher worked are ,
25x + 15y = 265
x+y = 13
Hi there! There are 5,280 feet in one mile, and there are 30.48 cm per foot. To find the amount of centimeters in one mile, all you have to do is multiply 30.48 by 5,280. 30.48 * 5,280 is 160,934.4. There. There are 160,934.4 centimeters in one mile.
9 is 82 blue v-necks and 43 red crew necks. 10 is for one angle it's 56 and fornthe other it is 34. For the first one, let a = blue v-necks and b = red crew necks. Then we have a system of equations: a + b = 125(total amount of shirts) and 7.95a + 8.95b = 1036.75(cost of shirts times how many shirts sold is the profit they got). Multiplyig the top equation by 8.95 we get 8.95a + 8.95b = 1118.75. Subtract that from the second and we get (8.95 - 7.95)a + (8.95 - 8.95)b = 82. The b is gone from that zero and a is being multiplied by one so that means a = 82. Plugging that into a + b = 125 and we get 82 + b = 125 ∴ b = 43. For the second question, since two angles are complementary, we can say ∠A = 90° - ∠B Then its says ∠A = 2∠B - 12. So putting the second ∠A def. into the first equation we get 2∠B - 12 = 90° - ∠B. Adding ∠B to both sides we get 3∠B -12 = 90°. Then adding 12 to both sides we get 3∠B = 102°. Divide by three and you get ∠B = 34 ∴ ∠A = 56.
