What is an equivalent expression of 28p^9q^-5/12p^-6q^7

Tristan has 45 apples and 20 pears tgat he is putting into gift baskets.Each basket will have the same number of apples and pear

Olegator [25]

Tristan can make 5 fruit baskets with no fruit left over. 9 x 5 = 45 and 4 x 5 = 20
9 apples and 4 pears will go in each fruit basket.

3 0

3 years ago

Read 2 more answers

Write a linear equation that passes through the two points (-6, -7) and (3, -4).

Phantasy [73]

linear equation that passes through the two points (-6, -7) and (3, -4) is $y=\frac{1}{3}x-5$

Step-by-step explanation:

We need to write the equation that passes through the two points (-6, -7) and (3, -4).

The equation can be written is point slope form.

The standard form of point slope equation is:

$y=mx+b$

where m is the slope and b is the y-intercept

Finding slope m:

Slope can be found by using formula:

$slope = \frac{y_{2}-y_{1}}{x{2}-x_{1}} \\Where\,\, y_{2}=-4,y_{1}=-7,x{2}=3,x_{1}=-6\\slope =\frac{-4-(-7)}{3-(-6)}\\slope=\frac{-4+7}{3+6}\\slope=\frac{3}{9}\\slope=\frac{1}{3}$

So, slope is $\frac{1}{3}$

Now finding y-intercept b

Putting slope $\frac{1}{3}$ and point(-6,-7)

$y=mx+b\\x=-6,y=-7,m=\frac{1}{3} \\-7=\frac{1}{3}(-6)+b\\-7=-2+b\\b=-7+2\\b=-5$

So, value of b is -5

Putting values to find the equation:

$y=mx+b\\m=\frac{1}{3} and b=-5\\y=\frac{1}{3}x-5$

So, linear equation that passes through the two points (-6, -7) and (3, -4) is $y=\frac{1}{3}x-5$

Keywords: Linear Equation,

Learn more about Linear Equation at:

#learnwithBrainly

5 0

3 years ago

What's is greater 34.653 or 4.653?

Strike441 [17]

The greater one is 34.653
because

34 is greater than 4
so, 34.653>4.653

4 0

3 years ago

Match each pair of equivalent values.

vaieri [72.5K]

Answer:

1 - $1^{2}$

12 - ?

4 - square root of 16

64 - $8^{2}$

16 - $4^{2}$

2.828 - square root of 8

Step-by-step explanation:

I need more terms to match

6 0

2 years ago

What is the last operation to be performed when finding the value of this expression?

MArishka [77]

To find out the last operation, we must solve the entire problem.

We are given:

$\frac{5+(-8)}{-3+(-9)(-6)}$

Let's simplify the signs so they don't clutter our equation.

$\frac{5-8}{-3+(-9)(-6)}$

We always need to be sure to use PEMDAS. Since there is no expression to solve in parenthesis and no exponents are present, we will move on to multiplication. We can multiply -9 and -6 in the denominator. When we do that, we get:

$\frac{5-8}{-3+54}$

Next, all you need to do is combine like terms in the numerator and the denominator.

$\frac{-3}{51}$

Simplify.

$-\frac{1}{17}$

To answer the question, the last operation to be performed when finding the value would be division.

4 0

2 years ago