Answer:
1300
Step-by-step explanation:
Let the amount put in the station's tank = x
4(400 + x) = 8100 - x Remove the brackets
1600 + 4x = 8100 - x Subtract 1600 from both sides
1600 - 1600 + 4x = 8100 - 1600 - x Do the subtraction
4x = 6500 - x Add x to both sides
4x + x = 6500 - x + x
5x = 6500 Divide by 5
5x/5 = 6500/5
x = 1300
1300 gallons were added to the station's tank.
Answer:
48
Step-by-step explanation:

is basically the horizontal axis.
First, find the integral of x^2-25.
Remember that
integral of a constant is that constant times x.
Also that
to take the integral of a power function, add 1 to the degree and divide by that same degree.

We then get

Evaluate at -3


Then we evaluate at 0

Next, we subtract the the answer then we get

It should be B I know how to do it
First define the variables:
c = amount of children
a = amount of adults
Next create the equations to satisfy the conditions:
1) Total group is 12 people:

2) Total cost is $100 with adults costing $10 and children being $6:

Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional