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2 years ago

Jacob made 8 pitchers of iced tea for the school picnic. Each pitcher filled g

Mathematics

1 answer:

galina1969 [7]2 years ago

7 0

The choices are missing, but we can find the right expression from the given

The expression that gives the number of glasses were drunk at the picnic is 8 g - 2

Step-by-step explanation:

Jacob made pitchers of iced tea for the school picnic

He made 8 pitchers of iced tea
Each pitcher filled g glasses
After the picnic, there were 2 glasses of iced tea left over
No glasses were spilled

We need to write an expression gives the number of glasses that were drunk at the picnic

∵ Jacob made 8 pitchers of iced tea

∵ Each pitcher filled g glasses

- Multiply g by 8 to find the number of glasses that made

from the 8 pitchers

∴ The total number of glasses = g × 8 = 8 g

∵ There were 2 glasses of iced tea left over

- Subtract 2 from the total number of glasses to find how

many glasses were drunk at the picnic

∴ The number of glasses were drunk = 8 g - 2

The expression that gives the number of glasses were drunk at the picnic is 8 g - 2

Learn more:

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2 years ago

A case of tomato cans weighs 563 dekagrams. A case of soup cans weighs 458 dekagrams. How much do the two cases weigh together i

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Answer:

102,100 decigrams

Step-by-step explanation:

(564 dag + 458 dag) = 1021 dag

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_____

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6 0

2 years ago

Read 2 more answers

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

Sergeu [11.5K]

Answer: Cost of each hot dog and bratwursts would be $1.1 and $1.35 each.

Step-by-step explanation:

Since we have given that

Cost of each dozen hot dogs be 'x'.

Cost of each dozen bratwursts be 'y'.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $316.20.

So, the equation would be

$8x+13y=\$316.20$

.The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $375.00.

So, the equation would be

$10x+15y=\$375.00\\\\2x+3y=\$75$

So, the equations becomes

$8x+13y=316.20--------------(2)\\\\(2x+3y=75)\times 4\\\\\implies 8x+12y=300------------(1)$

So, by elimination method, we get that

$8x+13y=316.20\\\\(-)8x+(-)12y=(-)300\\\\--------------\\y=\$16.20$

Put the value of y in the eq(1), we get that

$2x+3y=75\\\\2x+3(16.20)=75\\\\2x+48.6=75\\\\2x=75-48.60\\\\2x=26.4\\\\x=\dfrac{26.4}{2}\\\\x=\$13.2$

Hence, the cost of hot dogs would be $\dfrac{13.2}{12}=\$1.1$

And the cost of bratwursts would be $\dfrac{16.2}{12}=\$1.35$

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2 years ago

The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use.

Tcecarenko [31]

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2 years ago

1. Contaminated water is subjected to a cleaning process. The concentration of the pollutants is initially 5 mg per liter of wat

Art [367]

Answer:

$C(t)=5\cdot(0.9)^t$

Step-by-step explanation:

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

$C(t)=C_o\cdot(1-r)^t$

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1

Substituting into the general equation:

$C(t)=5\cdot(1-0.1)^t$

Operating:

$\boxed{C(t)=5\cdot(0.9)^t}$

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2 years ago