Answer:
x = -2, 1/2
Step-by-step explanation:
Step 1: Isolate everything to 1 side
2x² + 3x - 2 = 0
Step 2: Factor
(2x - 1)(x + 2) = 0
Step 3: Find roots
2x - 1 = 0
2x = 1
x = 1/2
x + 2 = 0
x = -2
Answer:
48 assistants
Step-by-step explanation:
If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.
Thus:
1.5 assistants to 1 executive = x assistants to 32 executives
1.5 : 1 = x : 32
Cross multiply
Therefore, 48 assistants were employed in the office.
Answer: bh=4×5=20b, h, equals, 4, times, 5, equals, 20 square units, so the area of the triangle is \dfrac 12 bh = \dfrac 12 \times 4 \times 5 = 10
2
1
bh=
2
1
×4×5=10start fraction, 1, divided by, 2, end fraction, b, h, equals, start fraction, 1, divided by, 2, end fraction, times, 4, times, 5, equals, 10
Step-by-step explanation:
Answer:
<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of times Bijan run around the neighborhood block = 20
Total distance Bijan run = 8 miles
Length of the block = 3/20 = 0.15 miles
2. Use the formula for the perimeter of the neighborhood block and the reciprocal to find the width w of the city block.
Let's find the perimeter of the neighborhood block and the width, this way:
A. Rule of Three Direct for find the perimeter:
Laps Distance
20 8 miles
1 x miles
x * 20 = 8
20x = 8
x = 8/20
x = 2/5 or 0.4 miles
B. Formula of the perimeter to find the width
Perimeter = 2 Length + 2 Width
Replacing with the real values we know:
0.4 = 2 * 0.15 + 2w
0.4 = 0.3 + 2w
0.4 - 0.3 = 2w
0.1 = 2w
w = 0.1/2
w = 0.05 miles
<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>
