A ratio of 5:7 means out of 12 books, 5 are in one category and 7 are in another. (The “category” isn’t specified in this problem.)
So here we’re STARTING with 36 books; we want to find a ratio that is equal to 5:7 and adds up to 36. Well 36 = 3(12), and so if we multiply each number in the ratio by 3 as well, we might get what we want. Doing that gives us 15:21, which adds up to 36 and is equal to 5:7. Boom, that’s the answer.
P.S. Here’s a question you can think about: why do ratios stay the same when you multiply each number by the same amount? (For example, why is 3:1 the same as 6:2?)
Answer:
<h2><u>[D] 13.9</u></h2>
Explanation:
- <em>Pythagorean theorem: a² + b² = c²</em>
- <em>Solve for hypotenuse (side x) using: c = √a² + b²</em>
12.8² + 5.3² = 191.93
√191.93
= 13.8538803229
<em>Round the answer</em>
13.9
Answer:
8
Step-by-step explanation:
Since they intersect you can just solve for x and y
since y=-4x and y=x^2+2x+8, you can set -4x=x^2+2x+8
add 4x to both sides to make 0=x^2+6x+8
and factor out (x+4)(x+2)
so the solutions for x are -4 and -2
then insert the two values for x into the first equation
so y=-4(-4) and y=-4(-2)
so y=16 and y=8 when x=-4 and x=-2
so the smallest value for y in both equations is 8
Please give brainliest :)
Answer:
105 min
Step-by-step explanation:
60 minutes ÷ 4 miles= 15 minutes per mile
15min per mile x 7 miles = 105 minutes
