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3 years ago

What is the quotient? 5^-6 5^3

Mathematics

2 answers:

Vikki [24]3 years ago

6 0

Step-by-step explanation:

1/5^(3+6)= 1/5^9

the solution

Anit [1.1K]3 years ago

3 0

Step-by-step explanation:

1/5^(3+6)=1/5^9

the solution

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Consider the equations 15x + 9y = 45 and 9x + 8y = 12. Solve the system of equations using elimination. Give your solution to th

True [87]

Answer:

(-5.77, 6.46)

Step-by-step explanation:

15x + 9y = 45 ----------- i

9x + 8y = 12----------------ii

Multiply equation i by 9 the coefficient of x in equ ii

And equation ii by 15 the coefficient of x in equ I

9 x 15x + 9y = 45 ----------- i

15 x 9x + 8y = 12----------------ii

135x+81y = 405

135x+120y= 180

Subtract equation ii from I

135x-135x+81y-(+120y)= 405-180

-39y=225

y = 225/-39 = -5.77

Insert the value of y in equ i

15x + 9y = 45

15x+9(-5.77) = 45

15x-51.92=45

15x = 45+51.92

15x= 96.92

x = 96.92/15= 6.46

(x,y) = (-5.77, 6.46)

x = 6.92/15

5 0

3 years ago

Find the area of the shape shown below.

disa [49]

Answer: 31.5 square units

Explanation:

The area of the rectangle is length*width = 7*3 = 21 square units

The area of the triangle is 0.5*base*height = 0.5*7*3 = 10.5 square units

The combined area is 21+10.5 = 31.5 square units

8 0

3 years ago

Emir's Ice Cream Shop sold 1 sundae with nuts and 7 sundaes without nuts. What is the ratio of the number of sundaes with nuts t

den301095 [7]

Answer:

1:7

Step-by-step explanation:

5 0

2 years ago

Which of the following situations results in an answer of 23 ? Select three that apply.

Nata [24]

Answer:

The first, second, and fourth questions.

Step-by-step explanation:

None of these result in an answer of 23, so I'm assuming that you meant 2/3.

<em />

<em>"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"</em>

2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.

<em />

<em>"Three cats share 2 cans of tuna. How much of a can does each cat receive?"</em>

2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.

<em />

<em>"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"</em>

2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.

<em />

<em>"Two apples are split among 3 people. How much of an apple does each person receive?"</em>

Two apples split among 3 people - like the first 2 questions, this also equals 2/3.

<em />

<em>"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"</em>

Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.

<em>"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"</em>

Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.

4 0

2 years ago

find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equa

AlladinOne [14]

<h3>hello!</h3>

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

Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

$\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}$

Where

y₁ is the y-coordinate of the point that the line passes through

m is the slope

x₁ is the x-coordinate of the point that the line passes through

In this case,

y₁ is equal to -8

m is equal to 3

x₁ is equal to 1

Plug in the values:

$\longrightarrow\sf{y-(-8)=3(x-1)}$

Simplify:

$\longrightarrow\sf{y+8=3(x-1)}$

and we're done!

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

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

4 0

2 years ago