Answer:
X=7
Step-by-step explanation:
Answer: Yes, Daniel has enough money to buy 2 pens.
=========================================================
Explanation:
x = cost of one pencil
y = cost of one pen
4x = cost of 4 pencils
3y = cost of 3 pens
4x+3y = cost of 4 pencils and 3 pens
100 - (4x+3y) = amount Daniel has left = 7 dollars
100-(4x+3y) = 7 is one equation we can form
Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".
Let's plug that into the first equation and solve for y.
100-(4x+3y) = 7
100-(4(y+3)+3y) = 7
100 - (4y+12+3y) = 7
100 - (7y+12) = 7
100 - 7y - 12 = 7
-7y + 88 = 7
-7y = 7-88
-7y = -81
y = -81/(-7)
y = 11.57 is the cost of one pen
2y = 2*11.57 = 23.14 is the cost of two pens.
Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.
Recall that a sequence

is convergent if and only if

is also a Cauchy sequence, which means to say that for any

, we can find a sufficiently large

for which

whenever both

and

exceed

.
But this never happens if we choose

and

; under these conditions, we have

Therefore

is not a Cauchy sequence and hence does not converge.
Answer:
15.5kg
Step-by-step explanation:
12.4kg × 5 = 62kg,
= 62kg - (14.6kg + 11.4kg + 10.3kg + 10.2kg)
= 62kg - 46.5kg
= 15.5kg
Answer:
4
Step-by-step explanation:
add the numbers.
3+7+4+2= 16
then divide the answer by how much there is.
16 // 4= 4
//= divide
hope this helps