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V125BC [204]
3 years ago
12

This is Quadratics. (5n−5)(2+2n)

Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer: 10n^2 - 10

Step-by-step explanation:

(5n - 5)(2+2n) becomes (5n-5)(2n+2)

= (5n)(2n) + (5n)(2) + (-5)(2n) + (-5)(2)

= 10n^2 - 10

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Deja has two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries
ElenaW [278]

Answer:

(b) The number of pounds of berries each person would receive is 1\frac{5}{8}pounds.

Step-by-step explanation:

The amount of berries in first basket = 3 3/8 pounds

Now, 3\frac{3}{8}  = 3+\frac{3}{8} = 3 + 0.375 = 3.375

So, the amount of berries in first basket = 3.375 pounds

The amount of berries in second basket = 2 7/8 pounds

Now, 2\frac{7}{8}  = 2+\frac{7}{8} = 2 + 0.875 = 2.875

So, the amount of berries in second basket = 2.875 pounds

Now, the total berries = Berries in ( First + Second)  basket

                                      = 3.375 pounds +  2.875 pounds  

                                    = 6.25 pounds

So, the number of pounds each person would have = \frac{\textrm{Total weight of viable berries}}{\textrm{4}}  = \frac{6.25}{4} = 1.5625

Now, 1.5625 = 1 + 0.5625  = 1 + \frac{5625}{10000}  = 1 + \frac{5}{8}  = 1\frac{5}{8}

So, the number of pounds of berries each person would receive is 1\frac{5}{8}pounds.

7 0
3 years ago
Meghan needs to board her cats and dogs at a kennel while she's on vacation. Pet Hotel charges $42.50 for a cat and $64.00 for a
Alex Ar [27]

Answer:

3 dogs and 2 cats.

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: number of cats

let y: number of dogs

So:

42.5 * x + 64 * y = 277

35.5 * x + 50.5 * y = 222.5 => x = (222.5 - 50.5 * y) /35.5

Replacing, we are left with that:

42.5 * (222.5 - 50.5 * y) /35.5 + 64 * y = 277

266.37- 60.45 * y + 64 * y = 277

64 * y - 60.45 * y = 277 - 266.37

3.55 * y = 10.63

y = 10.63 / 3.55

y = 2.99, about 3

Now to calculate x:

x = (222.5 - 50.5 * 3) /35.5

x = 2

Which means that it has a total of 3 dogs and 2 cats.

3 0
3 years ago
Read 2 more answers
Which number line models the solution set of -2x + 7 > 17?Pls do 2 answers for good measures (and brainliest)
Sidana [21]

Step-by-step explanation:

We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.

-2x+7>17

subtract 7 on both sides

-2x>10

divide by -2. remember that dividing by a negative flips the greater than or less than sign.

x<-5

the answer is D

4 0
3 years ago
How many degrees does each angle of an equilateral triangle measure? 45o, 60o, 90o, 100o
LiRa [457]
A triangle has 3 angles.

The sum of the measures of the angles of a triangle is 180.

In an equilateral triangle, all angles have the same measure.

180/3 = 60

Answer: 60 degrees.

7 0
3 years ago
2-1/2 cups water minus 1-2/3 cups water =
weeeeeb [17]

The difference between the mixed numbers is equal to 5/6.

<h3>How to perform the subtraction between the two mixed numbers?</h3>

A mixed number is a number that is written as a whole number plus an improper fraction, here we want to compute:

(2 + 1/2) - (1 + 2/3)

We can group the whole numbers and the fractions, so we get:

(2 - 1) + (1/2 - 2/3)

Now we can simplify this so we get:

(2 - 1) + (1/2 - 2/3)

= 1 + (3/6 - 4/6) = 1 - 1/6 = 6/6 - 1/6 = 5/6

We conclude that the difference between the mixed numbers is equal to 5/6.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

7 0
2 years ago
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