Answer:
8 vans
7 buses
Step-by-step explanation:
Let there be "b" buses
and "v" vans
Since 7 people is the capacity of vans, the total capacity is
7v
Also, since 25 people is the capacity of 1 bus, the total capacity is
25b
In total 231 people, so we can write our first equation as:
7v + 25b = 231
Now, we know there are 15 vehicles (bus + vans) in total, so we can write our 2nd equation as:
v + b = 15
Now, we solve for v and b. Let's solve the 2nd equation for v and substitute that into 1st and solve for b first:
v + b = 15
v = 15 - b
Now,
Hence, there are 7 buses
Since 15 vehicles in total, the number of vans is:
15 - 7 = 8 vans
So,
8 vans
7 buses
Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Yes!
- you applied the distributive property
- combined like terms
- and answered the rest right!
Answer:
v = 0.625 m/s
Step-by-step explanation:
Given that,
Total distance is 750 m
Logan swan 750 m in 1/3 hours
His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4 hours.
Note: We need to find Logan's average swimming speed.
Average speed = total distance/total time taken
So, Logan's average speed is 0.625 m/s.
x = 100°
In a parallelogram all the interior angles must add up to 360°
Opposite angles of a parallelogram are equal
360° = x + x + 80° + 80°
360° = 2x + 160°
2x = 200°
x = 100°
Alternatively:
x and 80° are corresponding angles because they are on the same line that crosses two parallel lines. Corresponding angles are complementary and add up to 180°.
180° = x + 80°
x = 100°
