Natalie walked 3/5 mile in 1/2 hour. How fast did she walk, in miles per hour

Mathematics

2 answers:

defon2 years ago

5 0

Answer:

11/5

Step-by-step explanation:

I know it's right trust me

V125BC [204]2 years ago

4 0

Answer:

6/5 miles per hour or 1.2 miles per hour

Step-by-step explanation:

If Natalie walked 3/5 miles in 1/2 hour, then in 1 hour she would have walker 6/5 miles(3/5 * 2). You can write 6/5 as 1.2 (6 divided by 5). Thus, Natalie walked 1.2 miles per hour

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Karrine hit 4 more home runs than half the number of home runs Lu hit. Together they hit 10 home runs. Let x represent the numbe

Andreas93 [3]

Answer:

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

Step-by-step explanation:

Let

x ----> represent the number of home runs Lu hit

y ---> represent the number of home runs Karrine hit

we know that

Together they hit 10 home runs

$x+y=10$ ----> equation A

Karrine hit 4 more home runs than half the number of home runs Lu hit

$y=\frac{1}{2}x+4$ ---> equation B

substitute equation B in equation A

$x+\frac{1}{2}x+4=10$

solve for x

$\frac{3}{2}x=10-4$

$\frac{3}{2}x=6\\x=4$

Find the value of y

$y=\frac{1}{2}(4)+4=6$

therefore

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

5 0

2 years ago

Find the number of distinct triangles with the measurements a = 8, b = 14, and A = 30°.

Maslowich

Answer: 2

Step-by-step explanation:

By the law of sines,

$\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \frac{\sin B}{14}=\frac{\sin 30^{\circ}}{8} \\ \\ \frac{\sin B}{14}=\frac{1}{16} \\ \\ \sin B=\frac{14}{16} \\ \\ B=\sin^{-1} \left(\frac{14}{16} \right), 180^{\circ}-\sin^{-1} \left(\frac{14}{16} \right) \\ \\ B \approx 61.04^{\circ}, 118.96^{\circ}$