Answer:
24 practices in 9 weeks
Step-by-step explanation:
Rate = 8 times / 3 weeks
8 times / 3 weeks * 9 weeks = 24 times
<span>x/9 = 8/36 </span>
<span>x = 9 * 8/36 [multiplying each side by 9] </span>
<span>x = 2 </span>
<span> </span>
<span>x/90 = 4.4/12 </span>
<span>x = 90 * 4.4/12 [multiplying each side by 90] </span>
<span>x = 33 </span>
<span>Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer: </span>
<span>2/7 = j/28 [lemon juice to water] </span>
<span>8 = j [multiplying each side by 28] </span>
<span>7/2 = 28/j [water to lemon juice] </span>
<span>7j = 56 [multiplying each side by 2j] </span>
<span>j = 8 [dividing each side by 7] </span>
<span>The length proportion is 24 in to 32 ft. </span>
<span>The actual house is 24 ft tall. </span>
<span>Let x represent the doll house height, in inches. Then </span>
<span>x/24 = 24/32 </span>
<span>x = 24 * 24/32 = 18 inches</span>
Answer:
t=(v-u)/a
Step-by-step explanation:
The equation we start with is v=u+at and we need to isolate t.
First subtract u from both sides
v-u=at
Now just divide both sides by a
(v-u)/a=t or t=(v-u)/a
Given:
Measure of a cube = 1 unit on each side.
Dimensions of a space 2 units by 3 units by 4 units.
To find:
Number of cubes that can be fit into the given space.
Solution:
The volume of cube is:

Where, a is the side length of cube.


So, the volume of the cube is 1 cubic units.
The volume of the cuboid is:

Where, l is length, w is width and h is height.
Putting
, we get


So, the volume of the space is 24 cubic units.
We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.



Therefore, 24 cubes can be fit into the given space.