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andriy [413]
3 years ago
10

How can we use variables and equations to help us solve problems?

Mathematics
2 answers:
erik [133]3 years ago
8 0

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Step-by-step explanation:

Hope this helps.. ;)

saul85 [17]3 years ago
7 0

Answer:

Variables help show the numbers and equation show the numbers

Step-by-step explanation:

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At the local animal shelter, there are 35 cats and 42 dogs. What is the ratio of dogs to cats at the local animal shelter?
postnew [5]

9514 1404 393

Answer:

  6 : 5

Step-by-step explanation:

The ratio is ...

  dogs : cats = 42 : 35 = (7·6) : (7·5) = 6 : 5

The ratio of dogs to cats at the shelter is 6 to 5.

6 0
3 years ago
The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley
asambeis [7]

Answer:

177 ft below sea level.

Step-by-step explanation:

Initial altitude of the hot air balloon = 282 below sea level

Rate of rise of balloon = 10 ft / second

Time = 12 seconds

Total rise in 12 seconds = Rate of rise of balloon \times Time

\Rightarrow 10 \times 12 = 120 ft

Now, we will have to subtract to find the new altitude.

New altitude = 282 - 120 = 162 ft

Now, it is given that balloon Captain lowers the balloon 15 ft.

To find the final altitude, we will have to add it to the previous altitude.

Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>

6 0
3 years ago
What is the measure of one exterior angle of a regular hexagon?<br>a. 60<br>b.72<br>c. 90
Molodets [167]
To find the exterior angle measure we would use the following formula: 
\frac{360~degrees }{number ~of ~sides}
A regular hexagon has 6 sides so we divide: 
360/6 which equals 60 
So our final answer would be A. 60 
5 0
3 years ago
Can you answer this 3 question pls giving a fat brainless. :) plss help​
Drupady [299]

Answer:

Alright

Step-by-step explanation:

Bottom Left: Saturday

Bottom Right: Box A

Not sure about the top one :/

4 0
2 years ago
3×
In-s [12.5K]

Answer:

1. x = 39.67

2. x = 15

3. x = 49.29

4. x = -12.8

5. x = 96

6. x = 42

7. x = 36

8. x = 0

9. x = 78

Step-by-step explanation:

Just remember to always isolate the unknown. Here are the solutions to your problem. I will explain each step for the first for you to give you an idea how the others were worked out.

1. \dfrac{3x}{7}-2 = 15  

Add 2 to both sides to get rid of -2 on the left side.

\dfrac{3x}{7}-2+(2)=15+(2)///dfrac{3x}{7}=17

Multiply both sides by 7 to get rid of 7 on the left side.

\dfrac{3x}{7}\times 7 = 17\times 7\\\\3x = 119

Divide both sides by 3 to get rid of 3 on the left side.

\dfrac{3x}{3} = \dfrac{119}{3}\\\\x = 39.67

You could also transpose everything by the x to the other side of the equation. Just remember that whatever OPERATION used on the original side, must be opposite on the other side. I'll use the second problem to show this.

\dfrac{2x}{5}+1=7

Transpose  1 on the left to the right. It is addition on the left, then it would be subtraction on the other side.

\dfrac{2x}{5}+1=7\\\\\dfrac{2x}{5}=7-1\\\\\dfrac{2x}{5}=6

Transpose 5 from the left side to the right. It is division on the left, then it would be multiplication on the right.

\dfrac{2x}{5}=6\\\\2x=6\times 5\\\\2x=30

Transpose 2 from the left side to the right. It is multiplication on the left, then it would be division on the right.

2x=30\\\\x=\dfrac{30}{2}\\\\x=15

Let's move on with the rest now.

3.

\dfrac{7x}{15}-1=22\\\\\dfrac{7x}{15}=22+1\\\\\dfrac{7x}{15}=23\\\\7x=23\times15\\\\7x=345\\\\x=\dfrac{345}{7}\\\\x=49.29

4.

\dfrac{5x}{8}+10=2\\\\\dfrac{5x}{8}=2-10\\\\\dfrac{5x}{8}=-8\\\\5x=-8\times8\\\\5x=-64\\\\x=\dfrac{-64}{5}\\\\x=-12.8

5.

\dfrac{x}{6}+4=20\\\\\dfrac{x}{6}=20-4\\\\\dfrac{x}{6}=16\\\\x=16\times6\\\\x=96

6.

\dfrac{x}{3}-4=10\\\\\dfrac{x}{3}=10+4\\\\\dfrac{x}{3}=14\\\\x=3\times14\\\\x=42

7.

\dfrac{x}{6}+2=8\\\\\dfrac{x}{6}=8-2\\\\\dfrac{x}{6}=6\\\\x=6\times6\\\\x=36

8.

\dfrac{x}{9}+8=8\\\\\dfrac{x}{9}=8-8\\\\\dfrac{x}{9}=0\\\\x=0\times9\\\\x=0

9.

\dfrac{x}{6}+7=20\\\\\dfrac{x}{6}=20-7\\\\\dfrac{x}{6}=13\\\\x=13\times6\\\\x=78

6 0
3 years ago
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