Answer:
1. 8.4 2. 15
Step-by-step explanation:
1. 4x + 8y = 40
when y = 0.8
4x + 8 × 0.8 = 40
4x = 40 - 8 × 0.8
4x = 40 - 6.4 = 33.6
....x = 33.6 / 4 = 8.4
2. 3a + b = 54
when b = 9
3a + 9 = 54
3a = 54 - 9
3a = 45
.....a = 45 / 3 = 15
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Response:
The average of the 10 sales figures for store A is $40,000.
Detailed explanation:
Provided;
yˆ= −3,000 + 1.2x...................... (1)
Where;
x = daily sales amounts at store A or the average of the 10 sales amounts for store A =?
yˆ = daily sales amounts at store B or the average of the 10 sales amounts for store B = $45,000
Substituting y = 45,000 into equation (1) and solving for x, yields:
45,000 = −3,000 + 1.2x
45,000 + 3,000 = 1.2x
48,000 = 1.2x
x = 48,000 / 1.2
x = 40,000
Consequently, the mean of the 10 sales figures for store A is $40,000.
To illustrate 1 hundredth (or 1%) on a grid consisting of 100 units, shade only 1 unit. In contrast, to illustrate 1 tenth (or 10%), you would shade 10 units. A visual representation of the grid would be helpful for further explanation.
<span>The system of equations that can determine if the commuter jet’s flight path crosses the restricted airspace is:
y = \frac{1}{4}(x - 10)^2 + 6 (i)
y = \frac{-27}{34}x - \frac{5}{17} (ii)
</span><span>
Here's why:
</span><span>
The closed airspace boundary is defined by points (10, 6) and (12, 7).
</span>
The commuter jet’s linear path runs from (-18, 14) to (16, -13).
Equation (i) describes the boundary since it fits both (10, 6) and (12, 7):
For (10, 6):
\frac{1}{4}(10-10)^2 + 6 = 6 (true)
For (12, 7):
\frac{1}{4}(12-10)^2 + 6 = 1 + 6 = 7 (true)
Equation (ii) represents the commuter jet’s path as it fits both (-18, 14) and (16, -13):
For (16, -13):
-13 = \frac{-27}{34} \times 16 - \frac{5}{17} = -13 (true)
For (-18, 14):
14 = \frac{-27}{34} \times (-18) - \frac{5}{17} = 14 (true)
By solving this system, we can confirm that the jet’s flight path intersects the closed airspace.
Response:
3
Step-by-step explanation:
25 ÷ 7 = 3.5
Since full sets are required, you simply take 3
