MATHEMATICS HIGH SCHOOL

Solve the equation for Q.
R = T - RQ

Answers

Answer 1
Answer:

Answer:

\huge\boxed{Q=(T-R)/(R)=(T)/(R)-1}

Step-by-step explanation:

R = T - RQ\qquad|\text{add}\ RQ\ \text{to both sides}\n\nR+RQ=T-RQ+RQ\n\nR+RQ=T\qquad|\text{subtract}\ R\ \text{from both sides}\n\nR-R+RQ=T-R\n\nRQ=T-R\qquad|\text{divide both sides by} \ R\neq0\n\n(RQ)/(R)=(T-R)/(R)\n\nQ=(T-R)/(R)\n\nQ=(T)/(R)-(R)/(R)\n\nQ=(T)/(R)-1

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The sum of three consecutive integers is 1,623. How do you write this as an equation?

Answers

consecutive integers are 1 away from each other therefor they are
x,x+1,x+2

they add to1623
so
x+x+1+x+2=1623 is equation
(fyi 540,541,542 are the numbes)
Since we are looking for a sum, we add.  Since we know the integers are consecutive, then we know that the second number will be one more than the first number and the third number will be two more than the first number... so we can set up the equation by setting the first number as "x" and then

x + (x + 1) + (x + 2) = 1623

Now we combine like terms

3x + 3 = 1623

Subtract 3 from each side

3x = 1620

Divide each side by 3

x = 1620/3 = 540

So we have the first number as 540, so the next numbers will be 541 (x +1) and 542 (x + 2)

540, 541, and 542

Check the answer by adding them together to see if they add to 1623

Write an equation of the line in standard form with integer coefficients y=-3/5x+3

Answers

Answer:

Step-by-step explanation:

Let's multiply all the terms in 5 :

5y=-3x+15

Increase 28 by 7 percent

Answers

7 percent... 7 percent of what?

AnswerP 7 % of 28!

so we need to know what 7% of 28 is:

(7*28)/(100) =1.96.

After the increase:

28+1.96=29.96

Multiply (3x – 5y)(2x + 3y)

Answers

Answer:

6x² - xy - 15y²

Step-by-step explanation:

To multiply these two binomials together, we can use FOIL. FOIL stands for:

First: Multiply the first terms of the binomials together.

Outer: Multiply the first term of the first binomial by the second term of the second binomial.

Inner: Multiply the second term of the first binomial by the first term of the second binomial.

Last: Multiply the second (last) terms of the two binomials together.

(3x - 5y)(2x + 3y) = (3x)(2x) + (3x)(3y) + (-5y)(2x) + (-5y)(3y)

= 6x² + 9xy - 10xy - 15y²

= 6x² - xy - 15y²

I hope you find my answer helpful.

A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 15 feet more than the length of the shortest side. Find the dimensions if the perimeter is 143 feet.

Answers

Answer:

To find the dimensions of the flower bed, we can set up an equation based on the given information. Let’s assume the length of the shortest side is x. According to the problem, one side is twice the length of the shortest side, which means it is 2x, and the third side is 15 feet more than the length of the shortest side, which means it is x + 151.

The perimeter of a triangle is the sum of all its sides. In this case, we have:

x + 2x + (x + 15) = 143.

Simplifying the equation, we get:

4x + 15 = 143.

Subtracting 15 from both sides of the equation, we have:

4x = 128.

Dividing both sides of the equation by 4, we find:

x = 32.

Now that we know the value of x, we can find the lengths of all three sides:

Shortest side: x = 32 feet.

Side twice the length of the shortest side: 2x = 64 feet.

Third side: x + 15 = 47 feet.

Therefore, the dimensions of the flower bed are approximately 32 feet, 64 feet, and 47 feet.

If 4 gallons of milk cost $16.76, how much would 7 gallon of milk cost

Answers

7 gallons of milk will cost $29.33.

What is function?

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that 4 gallons of milk cost $16.76.

Now, we can write that -

4 gallons of milk cost $16.76

1 gallon of milk will cost $(16.76/4)

7 gallons of milk will cost $(16.76/4 x 7) = $29.33

Therefore, 7 gallons of milk will cost $29.33.

To solve more questions on equation modelling, visit the link-

brainly.com/question/29014197

#SPJ2
The answer is $29.33
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