Using the general formula of d = rt, where d = distance, r = rate and t = time, we can solve for the missing variable (r, or speed). Given Tara's distance of 1600 m and her total time of 5 minutes and 20 seconds, first convert her time into just minutes:

5 $\frac{20}{60}=\frac{1}{3}$

5 $\frac{1}{3}=\frac{16}{3}$

1600 = r(16/3)

Multiply both sides by reciprocal of 16/3: 3/16(1600) = r(16/3)(3/16)

Solve for 'r': 300 meters per minute

4 0

3 years ago

BRAINLIEST Find the value of x in each of the following exercises:

ohaa [14]

The value of x is 120°

Explanation:

It is given that ABC is a straight line.

Also, ∠CBE = 20° and ∠CAF = 40°

We need to determine the value of ∠DBE

Let ∠DBE = x

Since, ∠CAF and ∠ABD are alternate interior angles.

By the alternate interior angles theorem, "if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are equal".

Thus, ∠CAF and ∠ABD are equal.

Hence, ∠CAF = ∠ABD = 40°

Since, we know that, the angles in a straight line add up to 180°, we have,

∠ABD + ∠DBE + ∠CBE = 180°

Substituting the values, we get,

40° + x + 20° = 180°

Adding, we have,

60° + x = 180°

Subtracting both sides by 60, we have,

x = 120°

Thus, the value of x is 120°

5 0

3 years ago

How do i do this?? 9x-4=7-2x

Deffense [45]

9x-4=7-2x /+2x
11x-4=7 /+4
11x=11 /:11
x=1


8 0

3 years ago

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