Answer:
b = 11
11 bricks will be required with 10 (1 inch motar) in between the bricks.
Step-by-step explanation:
Given the following :
Length of brick = 10 inches long
Between each laid brick, there is an inch of mortar layered before the next brick.
Number of bricks needed to build a wall which is 10 feets long.
Converting from feet to inch :
1 foot = 12 inches
Hence,
10 feets = (10 × 12) = 120 inches (length of wall).
Hence number of bricks needed in each layer :
Total length of b, bricks = length per brick × b = 10b
Since mortar is laid in between any two bricks, then length of mortar for b, number of bricks will be (b-1) inches
Since the total length of wall to be constructed is 120 inches ;
Then the equation required =
Sum of brick length + mortar = 120 inches
10 b + (b - 1) = 120
11b - 1 = 120
Hence,
11b = 120 + 1
11b = 121
b = 121 / 11
b = 11
Number of mortar = (b - 1) = - 11 - 1 = 10
Hence, 11 bricks will be required with 10 (1 inch motar) in between the bricks.
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
It is 15/11 for 60/44 but do u mean 44/60??????
The height that Trey jumped is; 13/3 ft
<h3>How to simplify Algebra Word Problems?</h3>
We are given that;
Height that trey jumped = 6¹/₂ ft
Now, Conner jumped = ²/₃ ft
Now, we know that if Conner jumped ²/₃ ft as far as trey, then it means that;
Height that Trey jumped = ²/₃ * 6¹/₂
Height that Trey jumped = ²/₃ * ¹³/₂ = 13/3 ft
Read more about Algebra Word Problems at; brainly.com/question/13818690
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