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taurus [48]
3 years ago
7

Answer for both boxes please :)​

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer:

Concept: Linear systems

  • We will use the method of elimination which is essentially solving for x or y first and eliminating the other variable.
  • Hence y=2/3x-3/25
  • 5x+3(2/3x-25/3)
  • Expand
  • 5x+2x-25
  • 7x-25=0
  • 7x=25
  • x=25/7
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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
Help please! !!!!! !!!!
zhannawk [14.2K]

Answer:

I would assume it's all but the second one (earned $60 over the summer=false)

4 0
3 years ago
Read 2 more answers
You start at (10, 2). you move up 2 units and down 4 units. where do you end?
DochEvi [55]
You end up at (10,0)
4 0
3 years ago
How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu
Likurg_2 [28]

Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

  • Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

5 0
3 years ago
Read 2 more answers
Please help me i really need help please help me please i really need help please help me please
umka21 [38]

Answer:

hello hello hello is there anybody in there

Step-by-step explanation:

6 0
3 years ago
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