MATHEMATICS MIDDLE SCHOOL

Mrs. Perez is buying a refrigerator for $1368.25, which includes taxes and delivery charges. She pays $497.80 in cash and will write a check for the balance. For how much should she write the check?

Answers

Answer 1

Answer: 1368.25 minus 497.80= 870.45

Answer 2

Answer:

Answer:

870.45

Step-by-step explanation:

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How many solutions does the system formed by x - y = 3 and ay + 3a = 0 have for a non zero number a? Explain and show how you get the answer please

Answers

Solve both equations for y:
$x-y=3 \ \ \ |-x \n-y=-x+3 \ \ \ |* (-1) \ny=x-3 \n \nay+3a=0 \ \ \ |-3a \nay=-3a \ \ \ |/ a, a \not= 0 \ny=-3$

Set the expressions equal to each other:
$y=y \n x-3=-3 \ \ \ |+3 \nx=0 \n \n(x,y)=(0,-3)$

So, for every nonzero number a the system of equations has one solution.

Tshonda is buying a laptop computer. she will pay 8% sales tax on the price before any rebates. where will she get a better buy? XYZ-Tronic
price - $629
mail-in rebate $150
TEC-U-COMP
price - $649
discount 25% off

Answers

The item with the better price is Tec-U-COMP.

The above me is clearly wrong. However, the reason I'm not going to post an actual answer is because this post is over 2 years old and there is a good chance the they aren't even in school anymore.

what is the value of 4 to the power of 3 multiplied by 4 to the power of -1 multiplied by 5 to the power of -2 divided by 4 to the power of 4 multiplied by 5 to the power of -3 multiplied to the power of 0

Answers

remember
try and group like bases
and
(x^m)(x^n)=x^(m+n)
also
x^0=1
and
(ab)/(cd)=(a/c)(b/d)
and
(x^m)/(x^n)=x^(m-n)
and
x^-m=1/(x^m)

$((4^(3))(4^(-1))(5^(-2)))/((4^(4))(5^(-3))((-3)^(0)))$

simplify a few stuff

on top
(4^3)(4^-1)=4^(3-1)=4^2

on bottom
(-3)^0=1
which cancels out since 1 times x=x so disregard the (-3)^0

now we have
$((4^(2))(5^(-2)))/((4^(4))(5^(-3)))$
split into 2 fractions with 4's in one and 5's in other
( $(4^(2))/(4^(4))$ )( $(5^(-2))/(5^(-3))$ )
remember the exponential law

first fraction
$(4^(2))/(4^(4))$ =4^(2-4)=4^-2
second
( $(5^(-2))/(5^(-3))$ )=5^(-2-(-3))=5^(-2+3)=5^1=5

now we have
(4^-2)(5)=(1/(4^2))(5)=5/(4^2)=5/16

Answer:

Step-by-step explanation:

the answer is 20

1234 di vided by 34 i am so bad at math can you plz explain it to me

Answers

Answer:

36.2941176471

36.30 (rounded)

ken is thinking of a number. nine more than the product of 4 and the number r is 73. find Ken's number

Answers

Ken's number would be 16

How many points are shared by two perpendicular lines

Answers

One point.
Two perpendicular lines can only cross each other in one point.

Hope this helps :)

One point. The perpendicular lines meet at the point they form 90°.
A fact :
Any two straight lines always have only one common point or none if they don't intersect.

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Proportional relationships! Need help on!

How could you use 5×6=30 to find the product of 6×6