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fomenos
2 years ago
6

The cost of a gallon of gas increased from $3.54 to $3.87 over the weekend. What is the percent increase for the cost of gas, ro

unded to the nearest whole percent?
Mathematics
2 answers:
Dmitrij [34]2 years ago
5 0

Answer:

9%

Step-by-step explanation:

percent increase is calculated as

\frac{increase}{original} × 100%

increase = $3.87 - $3.54 = $0.33 , then

% increase = \frac{0.33}{3.54} × 100% ≈ 9% ( to the nearest whole percent )

tia_tia [17]2 years ago
5 0

Answer:

9 %  (rounded to the nearest whole percent)

Step-by-step explanation:

the amount of increase:

3.87 - 3.54 = 0.33

Then

the percent increase for the cost of gas :

=\frac{0.33}{3.54} \times 100\\\\= 0.093220338983 \times 100\\\\=9.3220338983 \ \%

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Calculate the side lengths a and b to two decimal places.
Zinaida [17]

Answer:

a=10.92 units

b=14.51 units

Step-by-step explanation:

We are given that c=6 units

\angle A=43^{\circ}

\angle B=115^{\circ}

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

\angle A+\angle B+\angle C=180

Substitute the values then we get

43+115+\angle C=180

158+\angle C=180

\angle C=180-158=22^{\circ}

sine law: \frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}

\frac{a}{sin 43^{\circ}}=\frac{6}{sin 22^{\circ}}

a=\frac{6}{sin 22^{\circ}}\times sin 43^{\circ}

a=10.92 units

\frac{b}{sin 115^{\circ}}=\frac{6}{sin 22^{\circ}}

b=\frac{6}{sin 22^{\circ}}\times sin 115^{\circ}=14.51

b=14.51 units

6 0
3 years ago
Sally made a box to hold her jewlery collection. She used 42 inches of wood to build the sides of the box. If the box is 9 inche
Juliette [100K]
The length is 12, because if it's 9 inches wide it has two sides of 9 inches which is 18. Then subtract that from the intial value 42 to get 24. After, you divide 24 by 2 due to there being 2 sides of the box and 24 is the sum of both sides. Hopethis helps!
8 0
3 years ago
Which equation can be used to represent six added to twice the sum of a numbee and four is equal to one half of the difference o
Ronch [10]

Answer:  6 + 2 (x+4) =   \frac{3}{2}(3-x)

Step-by-step explanation:

let the number be x , then :

six added to twice the sum of a number and four means :

6 + 2 (x+4)

one half of the difference of three and the number means :

\frac{3}{2}(3-x)

combining the two , we have

6 + 2 (x+4) = \frac{3}{2}(3-x)

6 0
4 years ago
Jo is looking for a new part-time job as a plumber. She responds to a classified ad for a position that pays 44.9K. What would h
hoa [83]

Answer:

855.77

Step-by-step explanation:

44500/52 equals 855.77

3 0
3 years ago
Factor the expression 20k + 50
Yuliya22 [10]
Answer is 10(2k+5)

-----------------------------------

Work Shown:

20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)

Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer

Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.
4 0
3 years ago
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