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solmaris [256]
3 years ago
7

Kate wants to build a fence around her yard. The width of the yard is one-third the length. The perimeter of the yard is 80 feet

. What is the length and width of her yard?
Mathematics
2 answers:
liq [111]3 years ago
6 0
P = 2(L + W)
P = 80
W = 1/3L

80 = 2(L + 1/3L)
80 = 2(3/3L + 1/3L)
80 = 2(4/3L)
80 = 8/3L
80 * 3/8 = L
240/8 = L
30 = L .... length (L) is 30 ft

W = 1/3L
W = 1/3(30)
W = 30/3
W = 10 <== width (W) = 10 ft

RSB [31]3 years ago
3 0
The length is 30ft one third of 30 is 10 so the width is 10 ft.....30+30+10+10=80
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How many solutions does the system of nonlinear equations graphed below<br> have?
astra-53 [7]

Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system. 

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations. 

Step-by-step explanation:

7 0
3 years ago
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olga2289 [7]

Answer:

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3 0
2 years ago
What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle
satela [25.4K]

Answer:

Given : ∠ABC is a right angle, ∠D BC is a straight angle.

To prove :∠AB D is a right angle.

Proof: ∠ ABC = 90°[ Given]

    ∠ D BC= 180° [ D BC is a straight line]

now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.

∠ AB D +∠ AB C =180° [By linear pair axiom]

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3 0
3 years ago
Read 2 more answers
Solve for x<br> -3(x + 4) - 2 = -2(x - 5)<br> x= -4<br> x = -11/5<br> x = 24<br> x = -24
Gala2k [10]

Answer:

-24

Step-by-step explanation:

-3 (x + 4) - 2 = -2 (x - 5)

-3x - 12 - 2 = -2x + 10

-3x + 2x = 10 + 12 + 2

-x = 24

x = -24

5 0
3 years ago
An employment agency specializing in temporary construction help pays heavy equipment operation $138 per day and general laborer
ki77a [65]
<h3>17 heavy equipment operators and 14 general labourers were employed</h3>

<em><u>Solution:</u></em>

Let x = number of heavy equipment operators employed

Then,

31 - x = number of laborers employed

From given,

Pay of heavy equipment operators = $ 138 per day

Pay of general labours = $ 93 per day

Payroll was $3648

Therefore,

number of heavy equipment operators x Pay of heavy equipment operators + number of laborers employed x Pay of general labours = 3648

138x + 93(31 - x) = 3648

138x + 2883 - 93x = 3648

45x = 3648 - 2883

45x = 765

x = 17

Thus,

31 - x = 31 - 17 = 14

Therefore, 17 heavy equipment operators and 14 general labourers were employed

6 0
3 years ago
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