967.50 = 450 + 28.75p
967.50 - 450 = 28.75p
517.5 = 28.75p
18 = p
The true statement about Sam’s conjecture is that the conjecture is not correct
<h3>How to determine if Sam’s conjecture is correct or not?</h3>
Sam’s conjecture is given as:
For x ≤ - 2
It is true that x^5 + 7 > x^3.
The inequality x ≤ - 2 means that the highest value of x is -2
Assume the value of x is -2, then we have:
(-2)^5 + 7 > (-2)^3
Evaluate the exponents
-32 + 7 > -8
Evaluate the sum
-25 > -8
The above inequality is false because -8 is greater than -25 i.e. -8 > -25 or -25 < -8
Hence, the true statement about Sam’s conjecture is that the conjecture is not correct
Read more about conjectures at
brainly.com/question/20409479
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Answer:
20 miles (Answer B)
Step-by-step explanation:
The northbound biker travels (4 mph)(4 hr) = 16 mi, and
the eastbound biker travels (3 mph)(4 hr) = 12 mi.
They travel at right angles to one another. Thus, the Pythagorean Theorem applies here. The distance between the two bikers is d = √( [12 mi]^2 + [16 mi]^2 ), or √(144 + 256) mi, or √400 mi, which works out to 20 miles.
Answer B is correct.
Answer:
55
Step-by-step explanation:
33/60 = 0.55 * 100 = 55
Check:
55*0.6 = 33
Hope that helps!
Alright so turn 3/4 into a decimal.
3/4 =.75
We need to set up an equation. To do that are need to give boys and girls their own variables.
Girls= X
And since there is 3/4 as many boys
Boys=. 75X
Now we know the sum of boys and girls equals 35
X+.75X=35
X+.75X=1.75X
Now we have 1.75X=35
Divide by 1.75 and get
20=X
Now plug 20 into the equations got from before.
Boys =. 75*X = 20 *. 75 = 15
Girls = X =20
Your Answer:
15 boys
20 girls
You can check
20+15=35
15/20=3/4
