Answer:
4 / 5 = 8 / 10
Step-by-step explanation:
4:5 is a ratio which can be rewritten as 4/5.
Any number that is multiplied by both the 4 and the 5 is an equivalent ratio to 4:5.
For example, if we multiply 2 by both sides, we have 8 to 10 which is equal to 4 to 5.
Supplementary angles: sum of the angles measure to be 180º
180º-A= B
Plug in...
180º-80º= 100º
So, angle B must be 100 degrees.
Answer: 28 cm
Step-by-step explanation:
x - the length of the shorter piece
2x - the length of the longer piece
Together they are 42 cm long.
Compose te equation:
2x + x = 42
3x = 42
x = 14 cm
The shorter piece is 14 cm, the longer piece is twice longer, 2x, or 2( 14 ).
Two times longer than 14 is 28. The longer piece is 28 cm.
<span>Expand
</span><span>5x+5=3x+12</span>
<span>Subtract 5 from both sides
</span><span>5x=3x+12−5</span>
<span>Simplify <span>3x+12−5</span> to <span>3x+7</span>
</span><span>5x=3x+7</span>
<span>Subtract <span>3x</span> from both sides
</span><span>5x−3x=7</span>
<span>Simplify <span>5x−3x</span> to <span>2x</span>
</span><span>2x=7</span>
<span>Divide both sides by 2
</span><span><span>x=<span>7/2</span></span></span>
9514 1404 393
Answer:
D. (1.6 + 3) × (4 − 2) ÷ 2
Step-by-step explanation:
The order of operations requires that multiplication and division be done in order of appearance, left to right, before addition and subtraction. Operations in parentheses take priority.
To get 4.6, you need to add 3 to 1.6. The various forms of 3×4-2÷2 all give 12-1 = 11, not 3.
The grouping that gets it right is ...
(1.6 + 3) × (4 − 2) ÷ 2
= 4.6×2÷2
= 9.2÷2
= 4.6
