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Schach
11 days ago
10

If the price of a gallon of gas increases from $3.20 to $3.68, what percent did it increase?

Mathematics
1 answer:
PIT_PIT [12.4K]11 days ago
7 0
Hi! I arrived at the answer of 15%. Step-by-step explanation: 1. A useful formula for calculating percentage increase is: ((New Number - Old Number) / Old Number )*100 = Percentage Increase. 2. Thus, (3.68 - 3.20) / 3.20 = 0.15. 3. Then, multiplying 0.15 by 100 yields 15%. I hope this is helpful!
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There are 28 people on a martial arts course. 13 are female and 15 are male. What fraction of the people are male? ​
lawyer [12517]

Answer:

15/28

Step-by-step explanation:

There are 28 participants total, with 15 being male, resulting in a fraction of 15/28

6 0
27 days ago
Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z.
Leona [12618]

Answer:

Wouldn't it be 10 out of 26, which is 2.6?

Step-by-step explanation:

There are 10 letters in "County Fair" and a total of 26 letters available, so you divide 26 by 10.

3 0
1 month ago
What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
Inessa [12570]
The outcome is "GK=37, GH=14, and JK=19".

The problem references a missing attachment file, thus please find it attached.

The provided values are:

GJ=4x+2

HK=6x-1

Given GK =37

Need to calculate:

HJ=?

From GK: GK = GJ+JK yields GJ+(HK-HJ)

= 4x+2+((6x-1)-x) yields

9x+1...(a)Substituting (a) into the equation gives: 9(4)+1 yields 37 solves to x=4... for answer (b) and (c). Substituting x=4 yields:

GH=14 and JK=19.
8 0
1 month ago
At 6 a.m., the temperature is 19.4°C. Between 6 a.m. and noon, the temperature rises 3.8°C. Between noon and 6 p.m., the tempera
Leona [12618]
20.7 degrees C
Step-by-step explanation:
The simplest way to approach this is with a calculator or paper. (it's straightforward math) To begin, start with 19.4. Then, it increases by 3.8. Adding this to 19.4 results in 23.2, but then it decreases again by 2.5 degrees. Thus, from 23.2, subtract 2.5 to get 20.7 degrees.
5 0
1 month ago
What is a3 in an arithmetic sequence in which a10=41 and a15=61
zzz [12365]
\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_{10}&41\\
a_{11}&41+d\\
a_{12}&(41+d)+d\\
&41+2d\\
a_{13}&(41+2d)+d\\
&41+3d\\
a_{14}&(41+3d)+d\\
&41+4d\\
a_{15}&(41+4d)+d\\
&41+5d=61
\end{array}
\\\\\\
41+5d=61\implies 5d=20\implies d=\cfrac{20}{5}\implies \boxed{d=4}\\\\
-------------------------------\\\\

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=10\\
a_{10}=41
\end{cases}
\\\\\\
41=a_1+(10-1)4\implies 41=a_1+36\implies \boxed{5=a_1}

therefore

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=3\\
a_{1}=5
\end{cases}
\\\\\\
a_3=a_1+(3-1)4\implies a_3=5+(3-1)4

and you are probably aware of the amount.
8 0
22 days ago
Read 2 more answers
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