Answer: The total cost in dollars of the gas is $77.80.
Step-by-step explanation:
since we have given that
Amount of gallon of gas he bought for the first time = 12.53
Amount of gallon of gas he bought for the second time = 11.86
According to question, He paid $3.19 per gallon both the times that he stopped for gas on a weekend trip.
So, our expression that shows the total cost in dollars of the gas he bought on this trip is given by
Hence, the total cost in dollars of the gas is $77.80.
Answer:
m=2 and n=3
Step-by-step explanation:
<u>Step</u> :-
Given
using algebraic formula
now
now equating 'x' powers, we get
....(1)
now
Equating 'y' powers ,we get
2 m=4
m=2
substitute m= 2 in equation (1)
we get
2 n=6
n=3
verification:-
substitute m=2 and n=3 , we get
both are equating so m= 2 and n=3
The number of white and grey blocks in the quilts follows a sequence given by the Design number of the quilt
The numbers and patterns of the blocks are;
a. Patterns;
b. The function is
c. The function is
d.
e. The design chosen is <u>Design 9</u>
The number of blocks is <u>132 blocks</u>
Reasons:
The pattern of the design are;
a. The column height of the grey blocks = 2 blocks more than the column height of the white blocks
Width of the outer grey blocks = 2 blocks more than the width of the inner white blocks
The number of white blocks in a design, <em>n</em> is the product of <em>n</em> and (n + 1)
The number of grey blocks in a design <em>n</em>, is the product of (n + 2) and (n + 3) less the number of white blocks in the design
b. Based on the above, the function that represent the number of picture blocks in Design <em>n</em>, is therefore;
c. Based on the above, the function that represent the number of border blocks in Design <em>n</em>, is therefore;
d. The total number of blocks, t(n) = (n + 2)·(n + 3)
t(n) = (n + 2)·(n + 3) - n·(n + 1) + n·(n + 1)
e. The given number of picture blocks = 90
The number of picture blocks in a design, n = n × (n + 1)
Therefore, given that the number of picture blocks is 90, we have;
90 = n × (n + 1)
n² + n - 90 = 0
(n + 10)·(n - 9) = 0
n = 9, or n = -10
Therefore, the design museum chooses is <u>Design 9</u>
The total number of blocks in a quilt design, t(n) = (n + 2)·(n + 3)
Total blocks in the design the art museum choses, t(9), is given as follows;
t(9) = (9 + 2)·(9 + 3) = <u>132 blocks</u>
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