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NeX [460]
3 years ago
14

-2 1/2 * (1 2/3) = what?

Mathematics
2 answers:
TiliK225 [7]3 years ago
7 0

Answer:

4.16

Step-by-step explanation:

Mixed Number = 4 1/6

Decimal = 4.16

Fraction = 4.1666666

Percentage = 416%

Maru [420]3 years ago
4 0
This equals -1.6, or rounded it might be -2.
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SOMEONE HELP MEEEEEE 75 POINTS TO THE PERSON THAT HELPS
Tresset [83]

Answer:

Part 1) 9x-7y=-25

Part 2) 2x-y=2

Part 3) x+8y=22  

Part 4) x+8y=35

Part 5) 3x-4y=2

Part 6) 10x+6y=39

Part 7) x-5y=-6

Part 8)

case A) The equation of the diagonal AC is x+y=0

case B) The equation of the diagonal BD is x-y=0

Step-by-step explanation:

Part 1)

step 1

Find the midpoint

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{2-6}{2},\frac{-3+5}{2})

M=(-2,1)

step 2

The equation of the line into point slope form is equal to

y-1=\frac{9}{7}(x+2)\\ \\y=\frac{9}{7}x+\frac{18}{7}+1\\ \\y=\frac{9}{7}x+\frac{25}{7}

step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=\frac{9}{7}x+\frac{25}{7}

Multiply by 7 both sides

7y=9x+25

9x-7y=-25

Part 2)

step 1

Find the midpoint

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{1+5}{2},\frac{0-2}{2})

M=(3,-1)

step 2

Find the slope

The slope between two points is equal to

m=\frac{-2-0}{5-1}=-\frac{1}{2}

step 3

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

Find the slope of the line perpendicular to the segment joining the given points

m1=-\frac{1}{2}

m1*m2=-1

therefore

m2=2

step 4

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=2 and point (1,0)

y-0=2(x-1)\\ \\y=2x-2

step 5

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=2x-2

2x-y=2

Part 3)

In this problem AB and BC are the legs of the right triangle (plot the figure)

step 1

Find the midpoint AB

M1=(\frac{-5+1}{2},\frac{5+1}{2})

M1=(-2,3)

step 2

Find the midpoint BC

M2=(\frac{1+3}{2},\frac{1+4}{2})

M2=(2,2.5)

step 3

Find the slope M1M2

The slope between two points is equal to

m=\frac{2.5-3}{2+2}=-\frac{1}{8}

step 4

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{1}{8} and point (-2,3)

y-3=-\frac{1}{8}(x+2)\\ \\y=-\frac{1}{8}x-\frac{1}{4}+3\\ \\y=-\frac{1}{8}x+\frac{11}{4}

step 5

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=-\frac{1}{8}x+\frac{11}{4}

Multiply by 8 both sides

8y=-x+22

x+8y=22  

Part 4)

In this problem the hypotenuse is AC (plot the figure)

step 1

Find the slope AC

The slope between two points is equal to

m=\frac{4-5}{3+5}=-\frac{1}{8}

step 2

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{1}{8} and point (3,4)

y-4=-\frac{1}{8}(x-3)

y=-\frac{1}{8}x+\frac{3}{8}+4

y=-\frac{1}{8}x+\frac{35}{8}

step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=-\frac{1}{8}x+\frac{35}{8}

Multiply by 8 both sides

8y=-x+35

x+8y=35

Part 5)  

The longer diagonal is the segment BD (plot the figure)  

step 1

Find the slope BD

The slope between two points is equal to

m=\frac{4+2}{6+2}=\frac{3}{4}

step 2

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=\frac{3}{4} and point (-2,-2)

y+2=\frac{3}{4}(x+2)

y=\frac{3}{4}x+\frac{6}{4}-2

y=\frac{3}{4}x-\frac{2}{4}

step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

Ax+By=C

where

A is a positive integer, and B, and C are integers

y=\frac{3}{4}x-\frac{2}{4}

Multiply by 4 both sides

4y=3x-2

3x-4y=2

Note The complete answers in the attached file

Download docx
3 0
3 years ago
Rashid is paid by the hour. He earned $50 for a 4-hour workday. How much does he earn for a 5 1/2- hours work day
Tom [10]
<span>Use a proportion:
x/(5 1/2) = 50/4
--------
x = (11/2)(50/4)

--------
x = 550/8
----
x = $68.75</span>
5 0
3 years ago
Please help! Explain how to solve!
Gnesinka [82]
So this one is a little tricky because in order to solve you need to combine like terms. The only problem is that two fractions don't have the same denominator.
This is what you do.
2/3 - 1/9
= (2*9) - (1*3) / 3*9
= 18 - 3 / 27
= 15/ 27
Simplify.
5/9 + y = 7/9
Now since you need to isolate the variable you have to subtract 5/9 from both sides. Since the denominator is the same you can just subtract the numerator. 
So y = 2/9
I hope this helps love! :)
3 0
3 years ago
What is 91÷6643 an answer for
balu736 [363]
The answer is 0.0136986301369863
Hope this helped!!
7 0
3 years ago
Read 2 more answers
42 is 200% of what number
svetlana [45]
Divide 42 by 2 and get 21.
7 0
3 years ago
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