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Akimi4 [234]
3 years ago
10

How many solutions does the following equation have 3(X + 9) = 2x + 54

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Answer:

One solution.

Step-by-step explanation:

3(x + 9) = 2x + 54

3x + 27 = 2x + 54

3x + 27 - 2x = 2x + 54 - 2x

x + 27 = 54

x + 27 - 27 = 54 - 27

x = 27

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5 1/2 x 3 3/4 please help
Svetach [21]

Answer:

5 1/2 is also known as 11/2 and 3 3/4 is also know as 15/4. Now times 11/2 x 15/4. 165/8 is the answer i think

Step-by-step explanation:

you make everything an improper fraction then times it

3 0
2 years ago
Can someone help out? or explain? ​
Nataliya [291]
Y = 90 degrees

1) The angles on a straight line add to 180 degrees so 180-110= 70 degrees.

2) The angles in a triangle add to 180 degrees so 70+70= 140 degrees. The angle at the top of the triangle will have to be 40 degrees as 140+40= 180 degrees.

3) As x is half the angle at the top of the triangle (40 degrees), x will equal 20 degrees.

4) As the angles in a triangle add to 180 degrees 20+70=90 degrees 180-90=90 degrees.

5) Answer = 90 degrees

7 0
3 years ago
A kite is flying 20 ft off the ground. Its line is pulled taut and casts a 15 ft - shadow. Find the length of the line. If neces
Kryger [21]

Answer:

The answer to your question is 25 ft

Step-by-step explanation:

Data

height = 20 ft

leg = 15 ft

length of the line = ?

To solve this problem use the Pythagorean theorem.

Height = short leg = b

leg = long leg = a

length of the line = hypotenuse = c

- Substitution

         c² = (20)² + (15)²

-Simplification

         c² = 400 + 225

         c² = 625

-Result

         c = \sqrt{625}

         c = 25 ft

6 0
3 years ago
Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.
mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

1 \text{ feet} = 0.3048 \text{ meter}

1 \text{ meter} = \frac{1}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}

Now, Feet into inches

1 \text{ feet} = 12\text{ inches}

\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}

\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}

i.e.  17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}

or 17.42 \text{ meter} =57'\frac{232}{381}''

None of these answers is reasonable.

Therefore, Option E is correct.

5 0
3 years ago
Find the measure of the missing angle (a)
Alik [6]
Just subtract of 90 degrees and you get 68
4 0
3 years ago
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