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Marina CMI [18]
3 years ago
5

Which expression is equivalent to 3b - 1?

Mathematics
2 answers:
DochEvi [55]3 years ago
7 0

Answer: 5b +3 - b -b - 4

Step-by-step explanation: (A)

sergeinik [125]3 years ago
3 0

Hello from MrBillDoesMath!

Answer:   The first bullet point:  5b + 3 - b -b - 4

Discussion:

 5b +3 -b -b -4 =

(5b - b -b ) + ( 3 -4 ) =

3b + (-1) =

3b -1


Thank you,

MrB


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given that A=43 degrees , B=82 degrees and c=28, solve triangle ABC. Round to the nearest hundredth. A) C= 93 degrees , b= 33.8
n200080 [17]
A=43°
B=82°
c=28

1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)

2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°

2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3

 2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8

Answer: Option B) C=55°, b=33.8, a=23.3
8 0
3 years ago
Juan’s three math quizzes this week took him 1/3 hour, 4/6 hour, and 1/5 hour to complete. List the lengths of time in order fro
Ipatiy [6.2K]

Rewrite the fractions to have a common denominator:

1/3 = 10/30

4/6 = 20/30

1/5 = 6/30

Now compare the numerators and list from smallest to largest:

6/30, 10/30, 20/30

The order would be:

1/5, 1/3, 4/6

4 0
3 years ago
Read 2 more answers
A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must b
Yuki888 [10]

Answer:

5 gallons of water must be added.

10 gallons to start with

adding 'x' gallons of water      final volume = 10 + x

.9 (10) = amount of vinegar

.1(10) = amount of water

amount of vinegar before and after water addition is constant

.9(10) = .6(10+x)  

9 = 6 + .6x

3 = .6x

x = 5 gallons of water to be added

(i truly hope i helped you

8 0
2 years ago
How would you write this in simplest form 4p-5 (p+6)=
pychu [463]

Answer:

the answer is -p-30

Step-by-step explanation:

first you would distribute -5 to p and 6 = 4p-5p-30

second combine the like terms = -p-30

lastly it cannot be factored down any farther so the answer is just -p-30

7 0
3 years ago
The amount ofmoney is in the ratio 8:3 if the first amount is 9.92 what is the second amount?
BARSIC [14]

Answer:

The second amount is 3.72

Step-by-step explanation:

Given

First : Second = 8 : 3

First = 9.92

Required

Find Second

First : Second = 8 : 3

Substitute 9.92 for First

9.92: Second = 8 : 3

Express as fraction

\frac{Second}{9.92} = \frac{3}{8}

Multiply both sides by 9.92

9.92 * \frac{Second}{9.92} = \frac{3}{8}*9.92

Second = \frac{3}{8}*9.92

Second = 3.72

5 0
3 years ago
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