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JulsSmile [24]
3 years ago
13

a girl scout has (5x-12) boxes of cookies and sells (3x+18) of them. Write a simplified expression to represent the number of bo

xes left.
Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0

5x-12 -(3x+18)

distribute

5x-12 -3x-18

2x-30  is whats left

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Remy has $14,000 to invest in two mutual funds. One fund pays interest at 4% per year and the other fund pays interest at 7% per
AnnyKZ [126]
$4,200 at 4%, $9,800 at 7%
5 0
3 years ago
Zina goes shopping. She buys in the same store two scarves and three T-shirts for
Umnica [9.8K]

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we  have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

6 0
3 years ago
Am I right??? Please help me
Hatshy [7]

Function: y = 2x²-5

<u>Find y-intercept:</u>

y = 2(0)²-5

y = -5

<u>Find x-intercept:</u>

2x²-5 = 0

2x² = 5

x² = 2.5

x = ±√2.5

x = -1.5811 , 1.5811

Graph plotted:

3 0
2 years ago
Read 2 more answers
See question in attached photo.​
statuscvo [17]

9514 1404 393

Answer:

  (a, b) = (-2, -1)

Step-by-step explanation:

The transpose of the given matrix is ...

  A^T=\left[\begin{array}{ccc}1&2&a\\2&1&2\\2&-2&b\end{array}\right]

Then the [3,1] term of the product is ...

  (A\cdot A^T)_{31}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}1&2&2\end{array}\right]=a+2b+4

and the [3,2] term is ...

  (A\cdot A^T)_{32}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}2&1&-2\end{array}\right]=2a-2b+2

Both of these terms in the product matrix are 0. We can solve the system of equations by adding these two terms:

  (a +2b +4) +(2a -2b +2) = (0) +(0)

  3a +6 = 0

  a = -2

Substituting for 'a' in term [3,1] gives ...

  -2 +2b +4 = 0

  b = -1

The ordered pair (a, b) is (-2, -1).

8 0
3 years ago
Is 2000 centimeters equals blank m
ella [17]
Nooooow this is the story all about how my life got flipped turned upsidedown and id like to take a minute so sit right there and ill tell you how i became the prince of a town called Bel Air.

In west Philadelphia born and raised on the playground is where i spent most of my days. chillin out maxin relaxin all cool and all shootin some b-ball outside of the school

when a couple of guys, they were up to no good, started making trouble in my neighborhood. i got in one little fight and my mom got scared she said "youre moving with your auntie and uncle in bel air"

i begged and pleaded with her day after day, but she packed my suit case and sent me on my way. she gave me a kiss and then gave me my ticket i put my walkman on and said "i might as well kick it."

first class yo, this is bad drinkin orange juice outta champagne glass is this what the people of bel air be livin like? hmmm this might be alright. but wait i hear theyre prissy, bourgeois, all that. is this the type of that they just send this cool cat?

i dont think so, ill see when im there. i hope theyre prepared for the prince of bel air. well the plane landed and when i came out there was a dude who looked like a cop standing there with my name. i aint trying to get arrested yet i just got here i sprang with the quickness like lightning, disappeared.

i whistled for a cab and when it came near the license plate said fresh and it had dice in the mirror. if anything i could say that this cab was rare. but i thought "nah forget it- yo homes to bel air!"

i pulled up to a house about 7 or 8 and i yelled to the cabbie "yo homes smell ya later!" i looked up at my kingdom, i was finally there. to sit on my throne as the prince of bel air. 
7 0
3 years ago
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