Hello there.
<span>There were 196 students that participated in a clean-up event at a nearby lake. this is one fourth of the entire student population. write and solve an equation to find the number of students at this school.
Answer: x is the number of students in the school.
</span>
= 196.
<span>196 x 4 = 784.
Therefore the number of students in this school is
784.
Hope This Helps You!Good Luck Studying ^-^</span>
Answer:
8 units
Step-by-step explanation:
Hello!
So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c = 
, where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.
So, from the problem, if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.
Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.
So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>
<em />
<em />
So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome
Answer:
1. 
2. $2,520
Step-by-step explanation:
1. Given numbers 39 and 91. Factorize them:
then
Use distributive property:
2. Month salary = $2,100
To find 10% of $2,100, just multiply $2,100 by 0.1 (because 10% is 0.1 as decimal):
$210 is the monthly tax, then the year tax is
Answer:
gloves cost $5
hats cost $4
Step-by-step explanation:
four pairs of gloves and four hats for $36.00
4g + 4h = 36
three pairs of gloves and four hats for $31.00
3g + 4h = 31
-------------------------
Subtract the second equation from the first
4g + 4h = 36
-( 3g + 4h = 31 )
––––––––––––
g = 5
gloves cost $5
substitute for g = 5 into either equation
4(5) + 4h = 36
20 + 4h = 36
Subtract 20 from both sides
4h = 16
Divide both sides by 4
h = 4
hats cost $4
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
How to determine average velocity and instantaneous velocity?
Average velocity is defined as the body's overall displacement divided by its time of motion. While instantaneous velocity is defined as a body's speed at a certain instant in time, or its displacement at that instant. When the velocity is constant, average and instantaneous velocities will equalize at just one condition.
The definition of instantaneous velocity is the rate of change of position over a relatively brief time period (almost zero). Simply said, the speed of an object at that precise moment. The definition of instantaneous velocity is "The velocity of an item in motion at a certain point in time." The instantaneous velocity of an object may be equal to its standard velocity if it has uniform velocity.
Mathematically, average velocity = [s(t₂) - s(t₁)]/[t₂ - t₁]
Instantaneous velocity at time, t is = (ds/dt) at time = t
Given, the displacement for the particle is given by s = 3t² - 4t + 5
Time interval, t₁ = 5s and t₂ = 3s;
Using formula in literature, average velocity of the particle in the time interval between 3s and 5s is:
Average velocity = (s(5) - s(3))/(5 - 3) = (60 - 20)/2 = 20 ms⁻¹
Instantaneous velocity at t = 4 is ds/dt at that time-frame:
Now, v = ds/dt = 6t -4
Now, v(4) = 6(4) - 4 = 20 ms⁻¹
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
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