Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
Answer:
≈ 1800 mm³
Step-by-step explanation:
Volume of the figure above will be given by the formula
Cross section area × length
In this case;
Cross section area will be;
Area of the square + area of the two semi circles
12× 12 + 2(3.14 × 6 ×6/2)
= 144 + 3.14 ×36
= 257.04 mm²
Volume = Cross section area × Length
= 257.04 × 7
= 1799.28 mm³
<u> ≈ 1800 mm³</u>
Answer:
<h3>
m∠BAC = 80° </h3>
Step-by-step explanation:
m∠BCD = 145° ⇒ m∠BCA = 180° - 145° = 35°
From ΔABC:
m∠ABC + m∠BCA + m∠BAC = 180°
65° + 35° + m∠BAC = 180°
m∠BAC = 180° - 100°
m∠BAC = 80°
