Mike and talia each make a scale drawing of the right side of their house. The scale of the side of the actual house to Mikes dr
1 answer:
The width and height of Talia's Scale drawing are :
- Width = 4.35 in
- Height = 5.7 in
We can obtain the actual length of the side of the house from Mike's drawing :
- Mike's scale = 3 ft to 1 in
Actual measurements:
- Scale ratio × model drawing
- Height, h = 9.5 × 3 = 28.5 feets
- Width, w = 7.25 × 3 = 21.75 feets
Measurement of Talia's Scale drawing :
- Talia's scale = 5 ft to 1 in
- Actual measurement ÷ scale
- Height = 28.5 ÷ 5 = 5.7 in
- Width = 21.75 ÷ 5 = 4.35 in
The width and height of Talia's scale drawing are 5.7 and 4.35 respectively.
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<u>Answer:</u>
Price of the adult's ticket = $13
Price of a child's ticket = $ 10
<u>Step-by-step explanation:</u>
Given:
Cost of train fares for Three adults and four children = $79
Cost of train fares Two adults and three children = $ 56
To Find:
Price of the adult's ticket and the price of a child's ticket =?
Solution:
Let the cost of one adult's ticket be x and
Let the cost of one child's ticket be y
Then
Three adults and four children must pay $ 79 be
3x + 4y = 79-----------------------------------------------(1)
Two adults and three children must pay $56
2x + 3y = 56----------------------------------------------(2)
multiply eq(1) by 2, we get
6x + 8y = 158----------------------(3)
multiply eq(2) by 3, we get
6x + 9y = 168----------------------(4)
Subracting (3) from (4)
6x + 9y = 168
6x + 8y = 158
(-) (-) (-)
------------------------------
0x + y = 10
------------------------------
y=10
Now substitute the value of y in eq (1) to get the value of x
3x + 4(10)= 79
3x + 40 = 79
3x = 79 - 40
3x = 39
x =
x= 13
Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:
The first one: is a geometric sequence of first term (
) "1" and common ratio (r) "
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by:
The second one: is a geometric sequence of first term "1", and common ratio (r) "
". Again, since the common ratio is smaller than one, we can find its infinite sum:
now we simply combine the results making sure we do the indicated difference: Infinite total sum=