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zalisa [80]
3 years ago
5

The quotient of a number and - 2/3 is -9/10

Mathematics
1 answer:
Julli [10]3 years ago
5 0

Answer:

n = 3/5

Step-by-step explanation:

Represent this quotient as:

 

   n

---------

-2/3

and set it equal to -9/10:

   n           -9

--------- = -------

-2/3          10

Cross multiplication yields:

10n = 6, so that n = 6/10 or n = 3/5

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What equation represents y=2x^2+24x+85 in vertex form
Andrej [43]
Y=a(x-h)^2+k

vertex form is basically completing the square

what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway

y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13

vertex form is
y=2(x+6)^2+13
8 0
3 years ago
Plz help me!?!?<br><br> and thank u
vesna_86 [32]
Subtract 7.8 points by 4.8 and you get 3.4 !!
7 0
2 years ago
Read 2 more answers
Encuentra tres números enteros positivos consecutivos, tal que el cuadrado del primero se igual al tercero. Determina el número
myrzilka [38]
I don’t speak Spanish
7 0
3 years ago
10. The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46
Zarrin [17]

Answer:

hope this helps

Step-by-step explanation:

The sum of the digits of a three-digit number is 11.

If the digits are reversed, the new number is 46 more than five times the old number.

If the hundreds digit plus twice the tens digit is equal to the units digit, then what is the number?

:

Write an equation for each statement:

:

"The sum of the digits of a three-digit number is 11."

x + y + z = 11

:

The three digit number = 100x + 10y + z

The reversed number = 100z + 10y + x

:

" If the digits are reversed, the new number is 46 more than five times the old number."

100z + 10y + x = 5(100x + 10y + z) + 46

100z + 10y + x = 500x + 50y + 5z + 46

combine on the right

0 = 500x - x + 50y - 10y + 5z - 100z + 46

499x + 40y - 95z = -46

:

"the hundreds digit plus twice the tens digit is equal to the units digit,"

x + 2y = z

x + 2y - z = 0

:

Three equations, 3 unknowns

:

x + y + z = 11

x +2y - z = 0

-----------------Addition eliminates z

2x + 3y = 11

From the 2nd equation statement, we know that the 1st original digit has to be 1

2(1) + 3y = 11

3y = 11 - 2

3y = 9

y = 3 is the 2nd digit

then

1 + 3 + z = 11

z = 11 - 4

z = 7

:

137 is the original number

:

:

Check solution in the 2nd statement

If the digits are reversed, the new number is 46 more than five times the old number."

731 = 5(137) + 46

731 = 685 + 46

7 0
3 years ago
Is 3/8 and 3/4 an equivalent fraction
sleet_krkn [62]
No, it is not equivalent
6 0
3 years ago
Read 2 more answers
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