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2 years ago

Given negative two and one third times negative five and fifteen hundredths, determine the product.

Mathematics

2 answers:

ladessa [460]2 years ago

6 0

the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.

<h3>How to find the product between two mixed numbers?</h3>

A mixed number is a number that is written as the addition of a whole number and an improper fraction.

Remember that the mixed number "negative two and one third" is written as:

-2 ¹/₃ = (-2 - 1/3)

Here we want to solve the product:

(-2 - 1/3)*(-5 - 15/100)

Notice that all the signs are negative, so the outcome will be positive:

(-2 - 1/3)*(-5 - 15/100) = 2*5 + (1/3)*5 + 2*(15/100) + (1/3)*(15/100)

= 10 + 5/3 + 30/100 + 5/100

= 10 + 5/3 + 3/10 + 1/20

= 10 + 3/3 + 2/3 + 6/20 + 1/20

= 11 + 2/3 + 7/20 = 11 + 40/60 + 21/60

= 11 + 61/60 = 11 + 60/60 + 1/60 = 12 + 1/60

Then the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.

If you want to learn more about mixed numbers, you can read:

brainly.com/question/1746829

#SPJ1

melisa1 [442]2 years ago

3 0

Answer:rr r3inqnf

Step-by-step explanation:

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2 years ago

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3 years ago

the area of John's garden is the same size of Sarah's garden. John's garden has a width of 9 meters, and Sarah's garden has a wi

Alekssandra [29.7K]

The combined area of both gardens is 72 square meters.

Step-by-step explanation:

Given,

Width of John's garden = 9 meters

Width of Sarah's garden = 6 meters

Let,

l be the length of John's garden.

Length of John's garden = l+2

It is given that area of both gardens is same,

Area of Sarah's garden = Area of John's garden

Length * Width = Length * Width

$6*(l+2)=9*l\\6l+12=9l\\12=9l-6l\\12=3l\\3l=12$

Dividing both sides by 3

$\frac{3l}{3}=\frac{12}{3}\\l=4$

Length of John's garden = 4 meters

Length of Sarah's garden = 4+2 = 6 meters

Combined area = Area of John's + Area of Sarah's

Combined area = (Length * Width) + (Length * Width)

Combined area = (4*9)+(6*6)

Combines area = 36+36 = 72 square meters

The combined area of both gardens is 72 square meters.

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4 years ago