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olchik [2.2K]
3 years ago
7

In what ways are products of fractions similar to products of integers?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

Step-by-step explanation:

Products of fractions can be similar to products of integers because the product of the fraction can cancel out or simplify to an integer. For example:

1/2 x 2/1

Any number multiplied by its reciprocal is equal to 1.

The same rules for multiplying positive and negative integers still applies to multiplying positive and negative fractions.

Hope this helps!! :)

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Joan pays 456.25 monthly on her mortgage. If her annual insurance premium is 1,560 and her annual real estate tax is 1,890, what
defon
The combined payment is 743.75.

The annual amount of insurance is 1560.  Dividing this by 12 gives us the monthly amount paid:
1560/12 = 130.

The annual real estate taxes are 1890.  Dividing this by 12 gives us the monthly amount paid:
1890/12 = 157.50

We add these to the monthly mortgage payment to find the total amount:
456.25+130+157.50 = 743.75
5 0
3 years ago
given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment ab that partitions ab in the
Vinvika [58]
Check the picture below.

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
a(-1,2)\qquad b(7,14)\qquad
\qquad 1:3
\\\\\\
\cfrac{aP}{Pb} = \cfrac{1}{3}\implies \cfrac{a}{b} = \cfrac{1}{3}\implies 3a=1b\implies 3(-1,2)=1(7,14)
\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}

\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -1)+(1\cdot 7)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 14)}{1+3}\right)
\\\\\\
P=\left( \cfrac{-3+7}{4}~,~\cfrac{6+14}{4} \right)

3 0
3 years ago
The perimeter of a rectangle is 30 cm. The width of the rectangle is 7 cm.
kolezko [41]

Answer:

area is 56

Step-by-step explanation:


4 0
3 years ago
Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week
kobusy [5.1K]

Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

3 0
3 years ago
What is the inverse of the function f(x) = 2x – 10?
Nadusha1986 [10]

Answer:

f⁻¹(x) = (1/2)x +5

Step-by-step explanation:

In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).

... y = 2x -10

... x = 2y -10 . . . . . . swapped variables

... x +10 = 2y . . . . . add 10

... (1/2)x + 5 = y . . . . divide by 2

... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation

6 0
3 years ago
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