Answer:
w = 60
Step-by-step explanation:
the midsegment SU is half the measure of side RV, then
SU = RV , so
w - 30 = w ( multiply through by 2 to clear the fraction )
2w - 60 = w ( subtract w from both sides )
w - 60 = 0 ( add 60 to both sides )
w = 60
Answer:
$27
Step-by-step explanation:
10.80/6=1.8
1.8×15= 27
the cost is $1.80 per pound
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
Answer:
2 fluid ounces
Step-by-step explanation:
Answer: oop
Step-by-step explanation:
Let X = smaller number
Let Y = larger number
Sum of numbers is 130 ==> X + Y = 130 ==> Y = 130 - X
4 times the smaller subtracted from the larger is 10 ==>
Y - 4*X = 10
Substitute the value for Y in to the 2nd equation
(130 - X) - 4*X = 10
130 - 5*X = 10
-5*X = -120
X = 24
Y = 130 - 24 = 106
Check: 24 + 106 = 130
106 - 4*24 = 106 - 96 = 10