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Y_Kistochka [10]
4 years ago
5

An orchard has 4 rows of apple tree with 12 trees in each row. There are also 6 rows of pear trees with 15 trees in each row. Ho

w many apple and pear trees are in the orchard
Mathematics
2 answers:
Harrizon [31]4 years ago
8 0
The formula to this question is the amount of rows and how many fruit are in each row.
So 4x12=48
There are 48 apples in the apple orchard 
and 6x15=90
so 90+48=138
There are 138 pieces of fruit in total
Snezhnost [94]4 years ago
8 0

Answer:

48 apple trees and 90 pears trees

Step-by-step explanation:

Number of rows of apple trees in an Orchard= 4 rows

Number of trees in each row= 12 trees

Total number of apple trees= Total number of rows × total number of trees

Total number of apple trees= 4×12

Total number of apple trees= 48 trees

Number of rows of pear trees in an Orchard= 6 rows

Number of trees in each row= 15 trees

Total number of apple trees= Total number of rows × total number of trees

Total number of apple trees= 6×15

Total number of apple trees= 90 trees

Hence, the correct answer is 48 apple trees and 90 pear trees or 138 tress

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valkas [14]

Answer:

Part B. see the procedure

Part C. see the procedure

Step-by-step explanation:

we have

f(x)=x^{2}+2x+1 -----> equation A

g(x)=3-x-x^{2} -----> equation B  

Part B. Solve the system algebraically

equate the equation A and the equation B

x^{2}+2x+1=3-x-x^{2}

2x^{2}+3x-2=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^{2}+3x-2=0

so

a=2\\b=3\\c=-2

substitute in the formula

x=\frac{-3(+/-)\sqrt{3^{2}-4a(2)(-2)}} {2(2)}

x=\frac{-3(+/-)\sqrt{25}} {4}

x=\frac{-3(+/-)5} {4}

x1=\frac{-3(+)5} {4}=0.5

x2=\frac{-3(-)5} {4}=-2

Find the values of y

For x=0.5

f(0.5)=0.5^{2}+2(0.5)+1=2.25

For x=-2

f(-2)=(-2)^{2}+2(-2)+1=1

the solutions are the points

(0.5,2.25) and (-2,1)

Part C. Solve the system by graph

using a graphing tool

we know that

The solution of the non linear system is the intersection point both graphs

The intersection points are (0.5,2.25) and (-2,1)

therefore

The solutions are the points (0.5,2.25) and (-2,1)

see the attached figure

8 0
4 years ago
If f(x) = 4x – 5 and g(x) = 3 – 2x, find f(x) + g(x).
lubasha [3.4K]
(4x-5)+(2x-3)

4x+2x= 6x
-5+-3= -8

6x-8
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3 years ago
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raketka [301]
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3 2/3 + 2 3/5 + x = 8
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Answer: x= -\frac {109}{15}

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