The new height of the water is = 9.34 inches (approx)
Step-by-step explanation:
Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.
Let the new height of water level be x inches.
The volume of the container = (20×16×12) cubic inches
=3840 cubic inches
According to the problem,
3840 - (20×16×x) = 850
⇔3840 -320x = 850
⇔-320x =850-3840
⇔-320 x = -2990
⇔x = 9.34 inches
The new height of the water is = 9.34 inches (approx)
1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9
We are given equation g = 748u, where g is the total number of gallons of water used and u is the number of units.
We can see that the number of units of water being used by customers.
The number of units of water doesn't depend on the total number of gallons of water used.
Therefore, the number of units u is an independent variable.
The value of the total number of gallons is totally depends on the number of units used.
Therefore, the total number of gallons of water used g is a dependent variable.
So, we can conclude following statements:
1) g is the dependent variable.
2) u is the independent variable.
Answer:
x=8
x=-2
Step-by-step explanation:
∣x−3∣+4=9
= ∣x−3∣=5
<u>Positive term: (x-3)</u>
(x-3) = 5
Rearrange and Add up
x = 8
<u>Negative term: -(x-3)</u>
Multiply
-x+3 = 5
Rearrange and Add up
-x = 2
Multiply both sides by (-1)
x = -2
Answer:
<u>Cities A and B are 1,125 miles apart</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Distance between A and B in the map = 5 inches
Distance between C and D in the map = 4 inches
Real distance between C and D = 900 miles
2. How many miles apart are cities A and B?
We will solve the question, using Direct Rule of Three, as follows:
Distance in the map Real distance
A - B 5 inches x
C - D 4 inches 900 miles
***************************************************
4x = 900 * 5
4x = 4,500
x = 4,500/4
x = 1,125 miles
<u>Cities A and B are 1,125 miles apart</u>
Same answer to question 14701120, answered by me today
