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3 years ago

2a + 2b = c for b Solve for b

Mathematics

1 answer:

Leokris [45]3 years ago

7 0

2a + 2b = c

Subtract 2a from both sides

2b = -2a + c

Divide both sides by 2

b = -a + (c/2)

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Describe the surface in 3 represented by the equation x + y = 5. This is the set {(x, 5 − x, z)|x , z } which is a vertical plan

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Write in the simplest form. -4/7 ÷ 8/9

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Step-by-step explanation:

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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Two students in t

melomori [17]

Answer:

The system of equation used to find the Total number of flash cards made are $\left \{ {{5x+5} \atop {6x}} \right.$ .

In 5 minutes, each student will have 30 flash cards.

Step-by-step explanation:

Given:

Number of flash cards already made by Tristan = 5

Number of flash card Tristan makes in 1 min = 5

Number of flash card Josh makes in 1 min = 6

We need to find the How long will Josh have same number of flashcards.

Also We need to find how many flashcards will each student have at that point.

Solution:

Let the number of minutes be $'x'$ .

Now we can say that;

Total number of flash cards made by Tristan is equal to Number of flash cards already made by Tristan plus Number of flash card Tristan makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Tristan = $5+5x$

Also We can say that;

Total number of flash cards made by Josh is equal Number of flash card Josh makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Josh = $6x$

Hence the system of equation used to find the Total number of flash cards made are $\left \{ {{5x+5} \atop {6x}} \right.$ .

Now to find the number of minutes when both would have same number of flash cards we will make both the equation equal.

so we get;

$5+5x=6x$

On solving we get;

Combining like terms we get;

$6x-5x=5\\\\x=5\ mins$

Hence It would take 5 minutes when both will have same number of flash cards.

To find the number of flash cards each would had at that time we will substitute value of $x=5$ in the system of equations.

so we get;

number of flash cards made by Tristan = $5x+5 = 5\times5+5=25+5=30$

number of flash cards made by Josh = $6x =6\times 5 =30$

Hence In 5 minutes, each student will have 30 flash cards.

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3 years ago

The area of a square game court is 144 square feet. How long is the side of the court?

Veronika [31]

Answer:

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Step-by-step explanation:

Since the side length is a length, it will be positive and not negative, so we solve this equation for s by taking the positive square root of both sides of the equation. We get that s = 12, so the side length of a square with an area of 144 square feet is 12 feet.While -12 is "a square root" of 144, the square root operation here denotes a function from nonnegative real numbers to nonnegative real numbers. A function can only produce a single result. So the expression √144 evaluates to the positive root 12.Because one square foot is 144 square inches, divide the total number of square inches by 144.

Hope that was helpful.Thank you!!!

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3 years ago