A man spent exactly $2.50 on 3¢, 6¢, and 10¢ stamps. If he bought ten 3¢ stamps andtwice as many 6¢ stamps as 10¢ stamps, how many 10¢ stamps did he buy?
Answers
3 times 10 is 30, so now you have
2.20.
he bought twice as many six cent stamps as ten cent stamps.
multiples of six that are applicable are 30, 60, 90, 120.
six goes into 30 five times. Five can't be divided in half.
six goes into 60 ten times. ten divided in half is five. fifty plus sixty, is only 110.
six goes into ninety 15 times. fifteen can not be divided in half.
six goes into 120 twenty times. 20 divided in half is ten. ten times ten is 100.
100 + 120 = 220.
He bought 10 10cent stamps
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terms of the sequence.
- How do I do this question and just Recursive Sequences in general?
Answers
.
Let me explain why.
this is our first term.
second term.
third term.
...
Pretty simple huh?
Hope this helps.
Answer:
The first 3 terms are 2, 7, 22.
Step-by-step explanation:
The n is the sequence number of the term: f(1) means the first term.
The second term
f(2) = 3f(n - 1) + 1 We make n = 2:
= 3f(2-1) + 1
= 3f(1) + 1 f(1) = 2 so:
= 3*2 + 1
= 7.
3rd term f(3)
= 3f(3 - 1) + 1
= 3f(2) + 1
= 3(7) + 1
= 22.
Answers
P=2(l+w)
w=wdith
l=legnth
w is 3/4 legnth
w=3/4l
P=50 when l+2 and w+2
so
50=P=2(l+2+w+2)
w=3/4l, so sub
50=2(l+2+3/4l+2)
divide everybody by 2 to ge rid of nasty parenthasees
25=l+2+3/4l+2
25=1 and 3/4l+4
minus 4
21=1 and 3/4l
21=7/4l
times 4 both sides
84=7l
divide by 7
12=l
sub
w=3/4l
w=3/4(12)
w=9
legnth=9
width=12
Width=3/4 of x
= 3/4 * 12
= 9
the answer is 9
B. 125/256
C. 5
D. 3
Answers
Answer:
c
Step-by-step explanation:
divide the two factors and the answer is five
Answers
Answer:
f(x) = 3x + 50 is the equation in function notation.
(22, 116) is the ordered pair for 22 deliveries.
Step-by-step explanation:
First, create the equation. Let x represent how many deliveries he makes.
Since he makes $3 on each delivery, the total amount he makes from deliveries can be represented by 3x.
He also makes $50 a shift, so add this to 3x in the equation:
f(x) = 3x + 50 is the equation in function notation.
Find how much he will make if makes 22 deliveries. Plug in 22 as x:
f(x) = 3x + 50
f(22) = 3(22) + 50
f(22) = 66 + 50
f(22) = 116
So, he will make $116.
As an ordered pair, the solution is (22, 116).
Answer:
f(x) = 3x + 50
Step-by-step explanation:
If he makes $50.00 a shift, and $3.00 for each delivery, and he makes 22 deliveries in one shift then the equation (in function notation) would be f(x) = 3x + 50. and the solution to the equation is 116.
36
B.
144
C.
1728
D.
20,736
next question
Find the volume of a cube with the given side length.
7 units
A.
49 square units
B.
49 cubic units
C.
343 square units
D.
343 cubic units
next question
What is the volume of a cube with a side of length 14 units?
A.
2744 cubic units
B.
196 cubic units
C.
84 cubic units
D.
42 cubic units
next question
How many 1 by 1 unit cubes would equal the volume of the figure shown?
A.
60
B.
120
C.
250
D.
3500
next question
What is the volume of the figure?
A.
648 cubic units
B.
216 cubic units
C.
108 cubic units
D.
54 cubic units
Answers
The volume of a cube with side-length of 7 units is
(7 units x 7 units x 7 units) = 343 cubic units.
The volume of a cube with side-length of 14 units is
(14 units x 14 units x 14 units) = 2,744 cubic units.
The number of 1 by 1 unit cubes that would equal the volume
of the figure shown can't be determined, because the figure is
not shown.
The volume of the figure can't be determined, because the figure
is not shown.
Answers
Let's start with the easy one: the square
The perimeter of a square = 4x where x = one side of the square
Since the width of the shape is 5, that means the other three sides of the square should also be five so:
perimeter of square = 4(5)
perimeter of square = 20 units
Now let's find the perimeter of the semicircle.
That equation is this:
perimeter of semicircle = 1/2(π x diameter) + diameter
We know that the width is 5 which means the diameter is 5.
Let's plug that in!
perimeter of semicircle = 1/2(π x 5) + 5
Multiplying pi by 5 and dividing it in half will give us a decimal, so we have to round that to the second place:
perimeter of semicircle = 1/2(5π) +5
perimeter of semicircle ≈ 7.85 + 5
perimeter of semicircle ≈ 12.85 units
Like we said at the beginning, this is two shapes in one so we have to add the perimeter of the square to the perimeter of the semicircle
perimeter of square = 20 units
perimeter of semicircle ≈ 12.85 units
20 + 12.85 = 32.85 units
So the perimeter of the shape = 32.85 units