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muminat
3 years ago
15

Solve for x when y=16. 3x+7=y

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer: 3

Step-by-step explanation:

3x + 7 = y

3x + 7 = 16

*subtract 7 from both sides because inverse operations*

3x = 9

*divide both sides by 3 because inverse operations*

x = 3

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POSSIBLE POINTS: 2
serious [3.7K]

Answer:  max capacity is 1625 gallons.

Diagram is shown below.

=========================================================

Explanation:

We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.

For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.

The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.

Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.

To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"

Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.

Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.

Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.

-----------------------

Here's a way to find the answer without a double number line. This method involves setting up a proportion.

(40% full)/(650 gallons) = (100% full)/(x gallons)

40/650 = 100/x

40x = 650*100

40x = 65000

x = 65000/40

x = 1625

We confirm that the tank's max capacity is 1625 gallons.

4 0
3 years ago
The area of a rectangular bathroom mirror is 9 square feet. the mirror is 3 feet wide. how tall is it?
lisabon 2012 [21]
You multpily the length and the width to find the area of a shape. If the square is 3ft wide, then the square is also 3 ft long if the area is 9.
so, how tall is it?
3 ft. I meant rectangle. Its still the same for the height.
5 0
3 years ago
Ronnie is using 71 Legos to make a model of a castle. The castle is in the shape of a rectangle and is one cube high. How many d
ruslelena [56]
<span>The model of the castle can only be made 2 diferent ways. one way is 71 cubes high and 1 cube wide and the other way is 71 cubes wide and 1 cube high.

71 is a prime number and it's only factors are 1 and 71.</span>
7 0
3 years ago
Read 2 more answers
To find the quotient of 4 ÷ 1 8 , count the number of in four whole circles.
SSSSS [86.1K]

Answer:

what are u asking ?? I'm confused

5 0
3 years ago
Read 2 more answers
Let f(X)=3√x
SOVA2 [1]

g(x) = 3√(x-5) -1

The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.

Horizontal stretching: It means the graph is elongated or shrink in x direction.

Vertical stretching : It means the graph is elongated or shrink in y direction

Vertical translation : It means moving the base of the graph in y direction

Horizontal translation : It means moving the base of the graph in x direction

According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.

Therefore, in order to  move the graph down 1 units, we need to subtract given function by 1 , we get

g(x) = 3√x -1

According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.

Therefore, in order to  move the graph left by 5 units, we need to add given function by 5 , we get

g(x) = 3√(x-5) -1

To learn more about graphical transformation,  refer to brainly.com/question/4025726

#SPJ9

4 0
1 year ago
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