Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-(1 + 7x) - 6(-7 - x) = 36
Step 2: Solve for <em>x</em>
- Distribute: -1 - 7x + 42 + 6x = 36
- Combine like terms: -x + 41 = 36
- Subtract 41 on both sides: -x = -5
- Divide both sides: x = 5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-(1 + 7(5)) - 6(-7 - 5) = 36
-(1 + 35) - 6(-12) = 36
-(36) + 72 = 36
-36 + 72 = 36
36 = 36
Answer:
$89.1
Step-by-step explanation:
13.5 % of $660
= 13.5/ 100 × 660
= 0.135 × 660
= 89.1
hence, $ 89.1
Answer:
Most Unlikely: Less than 5
Likely: 2-digit number
Unlikely: Multiple of 3
Equally Likely: Odd
Most Likely: Greater than 10
Step-by-step explanation:
there are 6x5, or 30 outcomes
Less than 5 has 1 outcome - spinner and dice both are one
Odd has 15 outcomes
Multiple of 3 has 8 outcomes: 1+5, 2+1, 2+7, 2+12, 3+12, 4+5, 5+7, 5+10
Two-digits has 12 outcomes
Greater than ten has 16 outcomes
Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
Answer:6,10 I think
Step-by-step explanation: