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Salsk061 [2.6K]
3 years ago
6

An official playing field (including end zones) for the Indoor Football League has a length 29 yd longer than its width. The per

imeter of the rectangular field is 158 yd. Find the length and width of the field
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

An official playing field (including end zones) for the Indoor Football League has a length 29 yd longer than its width. The perimeter of the rectangular field is 158 yd. Find the length and width of the field

Step-by-step explanation:

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There are 3 consecutive integers. Four times the smallest integer is equal to six more than three times the largest integer. Wha
Aliun [14]

Answer:

5

Step-by-step explanation:

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.

5 0
3 years ago
A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

5 0
3 years ago
Which equation is the equivalent form of 20(3)^5x = 820?
makvit [3.9K]

Answer:

x=ln(41)/ln(243)

Step-by-step explanation:

20(3)^5x=820

3^5x=820/20

3^5x=41

5x=ln(41)/ln(3)

x=(1/5)[ln(41)/ln(3)]

x=ln(41)/ln(3^5)

x=ln(41)/ln(243)

8 0
3 years ago
Find the 8th term of the geometric sequence 7,28,112,...
oksian1 [2.3K]

Answer:

114,688

Step-by-step explanation:

the previous term is multiplied by 4 to get the next term.if you continue with this sequence you would eventually get 114 688

8 0
2 years ago
Read 2 more answers
5(x-4)+2x=14 help me find the answer x=?
Bond [772]
Exact Form:
x = 34/7

Decimal Form:
x= 4. 857142

Mixed Number Form:
x= 4 6/7
4 0
2 years ago
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