Answer
Step-by-step explanation: The answer is -13 1/3
Answer:
2/3(3/4x-3/2) = 1/2x-1
(2x+1) - (x+3/2) = x - 1/2
Step-by-step explanation:
1) Distribute 2/3 to both 3/4x and -3/2
2/3(3/4x) = 6/12x which can be simplified as 1/2x
2/3(-3/2) = -6/6 which simplifies to -1
2/3(3/4x-3/2) = 1/2x-1
2) (2x+1) - (x+3/2) combine like terms
2x-x = x
1 - 3/2= 1- 1 1/2 ( change 3/2 into an improper fraction. 2 goes into 3 one time with one left over. Place the “leftover” back on top of the original denominator of 2)
1- 1 1/2 = -1/2, so
(2x+1) - (x+3/2) = x - 1/2
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of triangle ABC, hence:
18 ft² = (1/2) * 3 * h
h = 12 ft
Let x represent the height of triangle EFG, hence:
x/12 = 2/3
x = 8 feet
Area of EFG = (1/2) * 2 * 8 = 8 ft²
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
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Answer:
Step-by-step explanation:
<u>Use the slope-intercept form, which will be in this case:</u>
- g(u) = mu + b, where m is the slope, b is the y- intercept
<u>Find the slope:</u>
<u>Find the value of the y-intercept:</u>
<u>The equation is:</u>
Answer:
see below
Step-by-step explanation:
V = l*w*h for the rectangular tank
V = 70* 40*40
=112000 cm^3 = 1mL
The water is 84000
Make this a fraction
84000/112000 = 3/4
The water fills 3/4 of the tank
1-3/4 = 1/4
It is 1/4 from the top
Find the volume of the treasure chest
V = 12*10*8 =960
Tower
V = pi r^2
3.14 * 10^2 *10
=3140
Water + chest + tower
84000+960+3140 =88100
This is less than 112000 so the water will not overflow