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alexgriva [62]
3 years ago
15

What is 32 divided by 33?

Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0
 the answer is 0.97 i hope I helped 
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Write an equation perpendicular to x - 4y = 20 that passes through the point (4, -3)
Nina [5.8K]

Answer:

y = - 4x + 13

Step-by-step explanation:

In order to do this problem you would need a whole new equation, but you will use what is given to you:

instead of going with:

x - 4y = 20

Turn it into y = mx + b form, also known as slope-intercept form:

x - 4y = 20

-x       = -x

_________

- 4y = 20 - x

Then divide both sides by - 4:

\frac{-4y}{-4} = \frac{-x + 20}{-4}

You will then get:

y = \frac{1}{4}x - 5

From this equation we will only need the slope!

m || = \frac{1}{4}

(This slope is for parallel)

but if you want perpendicular to the slope, then we need the negative reciprocal!

Negative reciprocal is a flipped version of the value that is negative, for example:

2 = -\frac{1}{2}

Because \frac{2}{1} = 2

Now we will find the perpendicular slope which is:

m ⊥ = - 4

Now substitute this slope into slope intercept form:

y = mx + b

(-3) = -4(4) + b

(Take away parentheses)

-3 = -16 + b

(Move - 3 to the other side, by making it positive, but what you do to one side, you do to the other)

= -13 + 6

(Move - 13 to the other side, by make - 13 into +13)

+13 = +13

________

13 = b

(This is you b, also known as you intercept)

Your answer is:

y = -4x + 13

8 0
3 years ago
What is the area of a piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide? Give your answer in square inches
Kruka [31]

Given

piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide.

What is the area of a piece of plywood .

To proof

Here plywood shape in the form of rectangle.

Formula

Area of rectangle = Length×Breadth

As given in the question

Length =2 feet 8 inches

Breadth = 2 feet 4 inches

First convert feet into inches

1 feet = 12 inches

2 feet 8 inches = 2×12 + 8

                       =  32 inches

Also

2 feet 4 inches  = 2×12 +4

                          = 28 inches

put is in the above formula

Area of plywood = 32 ×28

                            = 896 inches²

Therefore option (b) is correct

Hence proved


8 0
3 years ago
James can finish a job in 1.5 hours. Jane can finish the same job in one hour. How long will it take them to finish this job if
aleksandrvk [35]
It will take an hour and 15 minutes
7 0
3 years ago
Read 2 more answers
Use the substitution and to rewrite the equations in the system in terms of the variables and . Solve the system in terms of u a
Tatiana [17]

Answer:

x = -1 and y = 1/2

Step-by-step explanation:

Let u = 1/x, and v = 1/y

Then the pair of equations

-3/x + 4/y = 11

1/x - 2/y = -5

Can be written as

-3u + 4v = 11 .................................(1)

u - 2v = -5......................................(2)

From (2)

u = 2v - 5 .......................................(3)

Substituting (3) into (1)

-3(2v - 5) + 4v = 11

-6v + 15 + 4v = 11

-6v + 4v = 11 - 15

-2v = -4

v = 4/2 = 2

Substituting this value of v in (3)

u = 2v - 5

u = 2(2) - 5

= 4 - 5

= -1

That is

u = -1, v = 2

Since u = 1/x, and v = 1/y, we have

1/x = -1

=> x = -1

And

1/y = 2

=> y = 1/2

Therefore

x = -1 and y = 1/2

4 0
3 years ago
Dave has $8000 in a savings account, $6000 invested in the stock market, he
Agata [3.3K]

Answer:

D. $11,800 Dave's net worth

5 0
3 years ago
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