There are 81 band members. :-)
4 rows of 20 = 80 ... with one left over = 80 + 1 (81)
6 rows of 13 = 78 ... with three left over = 78 + 3 (81)
7 rows of 11 = 77 ... with four left over = 77 + 4 (81)
Answer:
6.1389 x 10^8
Step-by-step explanation:
Answer:
(3, 5.1)(0, 0)(5, 8.5)
Step-by-step explanation:
A proportional relationship occurs only with a linear relationship that goes through the origin.
Answer:
Step-by-step explanation:
Given the length of the bugs as shown;
Lady bug = 3/8
Ant = 1/4
Firefly = 7/8
Honey bee = 0.8
Deer tick = 0.2
Before we arrange the length in ascending order (shortest to longest), we will have to represent them in percentage.
Lady bug = 3/8×100
= 300/8
= 37.5%
Ant = 1/4×100
Ant = 25%
Firefly = 7/8 × 100
Firefly = 87.5%
Honey bee = 0.8×100
Honey bee = 80%
Deer tick = 0.2×100
Deer tick = 20%
On rearranging in ascending order:
20%, 25%, 37.5%, 80%, 87.5%
Based on the insect
Deer tick, Ant, ladybug, honey bee, Firefly
Based on their length:
0.2, 1/4, 3/8, 0.8, 7/8
Transpose all the terms in the left hand side of the equation. The equation then becomes,
8x² - 22x - 6 =0
Divide both sides of the equation by 2,
4x² - 11x - 3 = 0
In this equation, A = 4, B = -11, and C = -3
With the variables identified, the quadratic equation can be used to identify the roots,
x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
<em> x = 3 and x = -1/4
</em><em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
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