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natima [27]
3 years ago
5

Which point is located in Quadrant I?,

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

Answer:

the point with coordinates (-3,4)is located in quadrantll

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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.  

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

4p+3e=0.37

David bought 3 pencils and 4 erasers, spending

3p+4e=0.33

The system of equations is written in the form

\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.

Adding both equations:

7e=0.21  

e=0.03

Multiplying the first one by -4 and the second by 3

\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.

Adding both equations:

-7p=-0.49

p=0.07  

Solution: Each pencil costs $0.07 and each eraser costs $0.03

7 0
3 years ago
Heidi and Andrew designed two raised flowerbeds for their garden. Heidi's flowerbed was 5 feet long by 3 feet wide, and Andrew's
d1i1m1o1n [39]

Answer:

V=90\ ft^3

Step-by-step explanation:

-Given the two heights are similar:

#Heidi's flowered bed dimensions and volume is calculated as:

v=lwh

=5\times 3\times 2\\\\=30\ ft^3

#The width of Andrew's is twice Heidi's. The width and volume is thus calculated as:

w_a=2\times 3=6 \ ft\\\\V_a=lwh\\\\=5\times 6 \times 2\\\\=60\ ft^3

#Total soil volume of the soil used is determined by summing the two different flowerbed volumes:

V=V_h+V_a\\\\=30+60\\\\=90 \ ft^3

7 0
3 years ago
(Urgent) Worth 15 points 7.3
Stella [2.4K]

Answer: 20790

Step-by-step explanation:

5 0
3 years ago
What is the value of x?
Serjik [45]

Answer:

  x = 32

Step-by-step explanation:

Each angle of the equilateral triangle is 60°.

  (2x -4)° = 60°

  x -2 = 30 . . . . . . divide by 2°

  x = 32

__

  5y° = 60°

  y = 12 . . . . . . . . . divide by 5°

7 0
3 years ago
the science department buys the equipment shown in the table. they bought all three items this year. in how many years will they
belka [17]

Answer:

20 years

Step-by-step explanation:

20 is the lowest common multiple of 5,4,2

8 0
3 years ago
Read 2 more answers
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