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Luda [366]
2 years ago
11

The average American consumes about 20 gallons of ice cream in one year. At this rate, how many liters of ice cream will 50 Amer

icans consume in one week? Round to the nearest hundredth.
Mathematics
1 answer:
love history [14]2 years ago
3 0
1 year has around 52.1429 weeks
We are given that one American consumes around 20 gallons of ice cream in a year. This means that the consumption is 20 gallons in 52.1429 weeks.
Now, first we will calculate the amount consumed by 1 American in one week using cross multiplication as follows:
consumption per week = (1*20) / (52.1429) = 0.38356 gallons

Now, to know the consumption of 50 Americans in one week, we will simply multiply the consumption of one American by 50 as follows:
consumption of 50 Americans = 0.38356 * 50 = 19.18 gallons/week
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Line ℓ1 has the equation
aleksley [76]

Answer:

\sqrt{2} units

Step-by-step explanation:

The Line 1 has equation x + y = 5 ....... (1) , and  

Line 2 has equation x + y = 3 .......... (2)

Now, we have to find the perpendicular distance between line 1 and line 2.

We can say that (3,0) is a point on line 2 as it satisfies the equation (2).

Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula

\frac{|3 + 0 - 5|}{\sqrt{1^{2}+ 1^{2}}} = \frac{2}{\sqrt{2}} = \sqrt{2} units (Answer)

We know that the perpendicular distance from any external point (x_{1},y_{1}) to a given straight line ax + by + c = 0 is given by the formula \frac{|ax_{1} + by_{1} + c|}{\sqrt{a^{2} + b^{2}}}.

3 0
2 years ago
Write the point-slope equation of the line that passes through(3,5) and (7,1)
Liono4ka [1.6K]

Answer:   y - 1 = –(x –7)

or   y –5 = –1(x –3)

The attachment shows the graph of these equations (identical)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Subtract the first coordinate from the second coordinate.

Given coordinate points: ​(3​,5) and ​(7​,1)    substitute values:

m= 1 –5 / 7 –3  becomes  m= –4/4   so the slope, m = –4/4

That is –1  The "1" is "understood," so only the negative sign represents the slope  in the equation

To write the equation:  Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a)  Using the second coordinate: (7,1)

y - 1 = –(x –7)

or using the first coordinate:

y –5 = –(x –3)

5 0
2 years ago
Anyone got the answers for b and c
BaLLatris [955]
For letter b:

First times 5 on both sides to get rid of the denominator of 5

5 * y
— = 4 * 5
5

Then the answer is

y = 20


For letter c:

First move constants on one side, variables on the other

2g = 17 - 8

Then collect like terms:

2g = 9

Then divide both sides which would equal:

g = 9/2


5 0
3 years ago
Rashida was paid $720 for 30 hours of work.
Umnica [9.8K]
Roughly, $760 For Her 40 Hours Per Week 
4 0
3 years ago
Read 2 more answers
Someone help me please ASAP thanks you
Len [333]
The answer to that one is the first box definitely 

7 0
2 years ago
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