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Butoxors [25]
3 years ago
10

In February, Paul's electric bill was three dollars more than one-half his gas bill. If the electric bill was ninety-two dollars

, what was the gas bill?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
Let us assume the gas bill of Paul in February = x dollars
Then
Electric bill of Paul for the month of February = (x/2) + 3
Amount of Electricity bill of Paul for the month of February = $92
then we can write the equation as
(x/2) + 3 = 92
x/2 = 92 - 3
x/2 = 89
x = 89 * 2
   = 178 dollars
So the gas bill of Paul in February is $178. I hope this is the answer you were looking for.
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Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the super
Galina-37 [17]

Answer:

Charly has the better buy

Step-by-step explanation:

The unit cost is

=16.8/7

=$2.4

Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75

Unit cost

=12.75/5

=$2.55

Charly got the best deal because the unit cost per item is less than that of the friend

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3 years ago
What is the surface area of a square pyramid with a slant height of 6cm and the length of one side of the square base is 5cm
erica [24]

Answer:

S = 85cm^2

Step-by-step explanation:

The surface area of a square pyramid is given by the following formula:

S=2hb+b^2

where it has taken into account the sum of the area of a square and four triangles:

4(\frac{hb}{2})+b*b=2bh+b^2

h: slant height = 6cm

b: base = 5cm

By replacing in the formula you obtain:

S=2(5cm)(6cm)+(5cm)^2=85cm^2

hence, the surface area is 85cm^2

4 0
3 years ago
Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the c
Licemer1 [7]

Answer:

Step-by-step explanation:

8 0
3 years ago
Plz help me with this math and also explain
jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

  • SI = $250
  • Rate (R) = 12\sf \dfrac{1}{2} %
  • Time (t) = 4 years

\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\

\longrightarrow \tt { 250 \times 100 = P \times 50} \\

\longrightarrow \tt { 25000 = P \times 50} \\

\longrightarrow \tt { \dfrac{25000}{50} = P } \\

\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

  • 2/7 of the balls are red.
  • 3/5 of the balls are blue.
  • Rest are yellow.
  • Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\

\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\

\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\

\longrightarrow \tt{ 31x + 1260= 35x} \\

\longrightarrow \tt{ 1260= 35x-31x} \\

\longrightarrow \tt{ 1260= 4x} \\

\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\

\longrightarrow \underline{\boxed{  \tt { 315 = x }}} \\

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\

\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\

\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\

8 0
3 years ago
Which is a correct way to find f(3) when f(x) = 2x27​
dalvyx [7]
The answer to = 2x27 is f(x)
5 0
3 years ago
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