Answer:
Let 3x be the number of boys
Let 2x be the number of girls
3x + 2x = 24
5x = 24
x = 4.8
3(4.8) = 14.4 boys
2(4.8) = 9.6 girls
There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense.
For example, you and I are both 1 person, we can't be half a person or 0.6 of a person, only 1.
Answer:
504 in³
Step-by-step explanation:
First find the volume of the large rectangle, which is 576 in³
Then find the volume of the small rectangle, which is 72 in³
Then subtract 72 from 576 = 504
Answer:
Prism B has a larger base area
Step-by-step explanation:
Given
Base dimensions:
Prism A:
Lengths: 6cm, 8cm and 10cm
Prism B:
Lengths: 5cm and 5cm
Required [Missing from the question]
Which prism has a larger base area
<u>For prism A</u>
First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.
The longest side is the hypotenuse; So:



The above shows that the base dimension forms a right-angled triangle.
The base area is then calculated by;
Area = 0.5 * Products of two sides (other than the hypotenuse)


<u>For Prism B</u>

So, the area is:


<em>By comparison, prism B has a larger base area because </em>
<em></em>
Answer:
t - 2 ≥ 7; t ≥ 9
Explanation:
“a number t” = t
“decreased by 2” = - 2
“Is at least 7” = ≥ 7
So, t - 2 ≥ 7
To solve for t - 2 ≥ 7, add 2 to both sides of the equation
t - 2 ≥ 7
t - 2 + 2 ≥ 7 + 2
t ≥ 9
So, t ≥ 9
Answer is 2a.
(1) Rephrase the expression as (15-13)a
(2) Solve the parenthesis and get 2
(3) Multiply 2 by a = 2a