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anzhelika [568]
2 years ago
7

On a car trip Sam drove m miles Kara drove twice as many miles as Sam and Darin drove 20 fewer miles than Kara in terms of m man

y miles did Darin drive
Mathematics
1 answer:
frutty [35]2 years ago
5 0

Answer:

Darin drove '2m - 20' miles.

Step-by-step explanation:

We are given that Sam drove 'm' no. of miles.

As, it is also given that Kara drove twice as many miles as Sam. Therefore we get that Kara drove '2m' no. of miles.

Now, it is given that Darin drove 20 miles fewer than Kara .i.e. Darin drove '2m - 20' no. of miles.

Hence, in terms of m, Darin drove '2m - 20' miles.

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Step-by-step explanation:

6 0
3 years ago
Solve for u -2/9u=10
Nata [24]

Answer:

u = -45

Step-by-step explanation:

<u>Step 1:  Multiply both sides by -9/2</u>

<u />-\frac{2}{9}u = 10

-\frac{9}{2} *-\frac{2}{9}u = 10 * -\frac{9}{2}

u = -\frac{90}{2}

u = -45

Answer:  u = -45

8 0
3 years ago
What is the trigonometric ratio for sin C?
Vesna [10]
<h3>Answer:  9/41</h3>

==========================================================

Explanation:

We have a triangle with these three sides.

  • a = 80
  • b = unknown
  • c = 82

Use the pythagorean theorem to find b

a^2+b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(82^2 - 80^2)

b = sqrt(324)

b = 18

This is the missing vertical leg of the triangle. And this is also the side opposite angle C.

We have enough information to compute the sine of the angle.

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 18/82

sin(C) = (9*2)/(41*2)

sin(C) = 9/41

6 0
2 years ago
A small bag of flour weighed 21 ounces.A large bag was 11% heavier.How much does the large bag weigh?
Ray Of Light [21]

Answer:22.31

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7​
motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

\displaystyle x_{n} = a\left(r\right)^{n-1}

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.

Substitute:

\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}

In conclusion, the 8th term of the sequence is 896/2187.

8 0
2 years ago
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