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Fudgin [204]
2 years ago
11

-4x+5 + -13x+39=180 angle measure

Mathematics
1 answer:
mylen [45]2 years ago
5 0

Step-by-step explanation:

−4x+5−13x+39=180

Step 1: Simplify both sides of the equation.

−4x+5−13x+39=180

−4x+5+−13x+39=180

(−4x+−13x)+(5+39)=180(Combine Like Terms)

−17x+44=180

−17x+44=180

Step 2: Subtract 44 from both sides.

−17x+44−44=180−44

−17x=136

Step 3: Divide both sides by -17.−17x

−17

=

136

−17

x=−8

Answer:

x=−8

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A toll collector on a highway receives ​$8 for trucks and ​$5 for sedans. At the end of a 3​-hour ​period, she collected ​$208.
Vilka [71]

Answer:

The number of trucks and sedans can be

(0 trucks ,26 sedans)

(8 trucks ,21 sedans)

(24 trucks ,11 sedans)

(25 trucks ,1 sedans)

(32 trucks ,6 sedans)

(16 trucks ,16 sedans)

Step-by-step explanation:

Given:

The  cost for trucks =$5

The cost for sedans  =$8

The total amount collected = $208

To Find:

Number of trucks and sedans passed through the toll booth =?

Solution:

Let the number of trucks be x and the number of sedans be y

Then

5x + 8y = 208-------------------------------(1)

By Trail and error method

5(0) + 8(26) = 208

5(8) + 8(21) = 208

5(24) +8(11) =208

5(25) + 8(1) = 208

5(32) + 8(6) =208

5(16) + 8(16) = 208

8 0
3 years ago
A mechanic charges $20.00 an hour, h for labor plus parts. If the parts cost $217.00, write a linear equation that will find the
Dennis_Churaev [7]

Answer:

y=20x+217

Step-by-step explanation:

8 0
2 years ago
Which is the best estimate for the area of the circle shown below?
Elza [17]

Answer:

c) 380 m²

Step-by-step explanation:

A = π·r²

= 3.14×121

= 379.94

≈ 380 m²

3 0
3 years ago
Read 2 more answers
A cabbage palmetto has a height of 80 feet.what is the approximate height of the tree in meters
White raven [17]

Answer:

24.38 meters to the nearest hundredth.

Step-by-step explanation:

1 foot is approximately  30.48 cm.

So 80 feet = 80 * 30.48 cm.

In meters this is (80 * 30.48) / 100

=  24.38 m.  


8 0
3 years ago
$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interes
Advocard [28]

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

---

x + y = 20287

0.12x = 0.09y + 492.99

---

put the system of linear equations into standard form

---

x + y = 20287

0.12x - 0.09y = 492.99

5 0
2 years ago
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