7) Write the decimal number as a fraction
(over 1)
2.18 = 2.18 / 1
Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's
Numerator (N)
N = 2.18 × 10 × 10 × 10 = 2180
Denominator (D)
D = 1 × 10 × 10 × 10 = 1000
N / D = 2180 / 1000
Simplifying our fraction
= 2180/1000
= 109/50
= 2 9/50
8)
Answer:
hope this helps you...
Step-by-step explanation:
please mark this as brainliest
3/4 x 6 = 18/4 = 4 1/2
she eats 4 1/2 bags of carrots in 6 weeks
<h3>The equation represents the total amount Emma earns at the event is y = 10x</h3>
<em><u>Solution:</u></em>
Given that,
<em><u>The total amount Emma earns, y, is proportional to the number of bracelets, x, she sells</u></em>
Where,
y is the total amount Emma earns
x is the number of bracelets
k is the cost of each bracelet
<em><u>Emma earns $10 for each sold bracelet</u></em>
Therefore, k = 10
Thus, eqn 1 becomes,
<h3>y = 10x</h3>
Thus the equation represents the total amount Emma earns at the event is found
Complete the square to rewrite the quadratic:
2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8
... = 2 (<em>x</em> + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.
