B. –4x + 3a + 45
C. –4x + 3a – 3
D. –4x + 3a + 3
Answer:
D
Step-by-step explanation:
Given
- 4(x - 6) + 3(a - 7)
distribute the first parenthesis by - 4 and the second by 3
= - 4x + 24 + 3a - 21
= - 4x + 3a + 3 → D
Answer:
13.5
Step-by-step explanation:
When you convert fraction numbers to decimal numbers, remember they are written like this:
whole . parts
In 13 1/2, you have 13 wholes and 1/2 parts. The decimal number would look like 13 . parts
To find the decimal for 1/2, put into your calculator 1 ÷ 2. The answer will be 0.5 Write "5" for parts. The decimal where 0.5 is will line up with the decimal in the decimal number.
13.5
Derek studied 13.5 hours for the spelling bee.
The answer choices are -6
8
7
-3
-2
Answer:
x=-6
Step-by-step explanation:
We want to get the variable by itself
In order to do this, we must multiply both sides by 6. Since x is being divided by 6, we want to do the opposite.
x/6=-1
6*x/6= -1*6
x=-6
Hope this helps! :)
Answer:
-6
Step-by-step explanation:
You multiply both sides by 6 so x/6*6=-1*6 so x=-6
A) 167 shirts
B) 60 shirts
9) shirts
D) 1.35 shirts
Answer:
The best option is;
A triangle with three equal sides all longer than 12 inches
Step-by-step explanation:
The cross sectional area of the square prism that passes through points A, B and C is found as follows;
Shape of cross section ABC = Triangle
Base, AB of the triangle is given by;
AB = √(8² + 8²) = √128 = 8·√2
Side, AC of the triangle is given by AC = √(8² + 12²) = 4√13
Therefore, the height of the triangle is given as follows;
Height, h = √(4·√13)²-(4·√2)² = 4·√11
The area of the cross section then is 0.5 × Base × Height
= 0.5 × 8·√2 × 4·√11 = 16·√22
A triangle with 3 equal sides of 8 inches has an area of 4×8×sin(60) = 16√3
A triangle with 2 equal sides of 12 inches and one side of 8 inches has an area of 4×12×sin(60) = 24√3
Therefore since 16·√22 > 24√3 > 16√3, the best option is a triangle with three equal sides of all longer than 12 inches.