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labwork [276]
2 years ago
3

The container that holds the water for the football team is 1/6 full. After pouring in 7 gallons of water, it is 2/3 full. How m

any gallons can the container hold?
Mathematics
2 answers:
IRINA_888 [86]2 years ago
7 0

Answer:

14 gallons

Step-by-step explanation:

Let us suppose that container can hold x gallon water

Initial quantity of water in container = \frac{1}{6} x

Quantity added to the container = 7 gallons

Final quantity = \frac{2}{3} x

∴\frac{2}{3} x - \frac{1}{6} x = 7\\(\frac{2}{3} - \frac{1}{6})x = 7\\\frac{1}{2}x = 7\\x = 7*2\\x = 14

Hence the container can hold 14 gallons of water

Valentin [98]2 years ago
3 0
(2/3-1/6)w=7
(1/2)w=7
W=14
14 gallons is the answer
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Matthew ran 3/8 mile and then walked 7/10 mile. Which pair of fractions can he use to find how far he went in all? (A 15/40 and
Strike441 [17]
Before we could add these numbers, 3/8 and 7/10 need a common denominator. Both 8 and 10 go into 40.

8 goes into 40 five times
3/8= (3*5)/40 = 15/40

10 goes into 40 four times
7/10= (7*4)/40= 28/40

ANSWER: A) 15/40 and 28/40

Hope this helps! :)
7 0
2 years ago
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Consider the following regression model: Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε, where the du
FinnZ [79.3K]

Answer:

The regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".

Step-by-step explanation:

Given:

Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε ...........(1)

Since there can be only one of spring, summer,fall, and winter at a point in time or in a season, we will have the following when there are winter rainy days:

Spring = 0

Summer = 0

Fall = 0

Rain = 1

Substituting all the relevant values into equation (1) and equating ε also to 0, a reduced form of equation (1) can be obtained as follows:

Humidity = β0 + β1Temperature + (β2 * 0) + (β3 * 0) + (β4 * 0) + (β5 * 1) + 0

Humidity = β0 + β1Temperature + 0 + 0 + 0 + β5 + 0

Humidity = (β0 + β5) + β1Temperature

Therefore, the regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".

3 0
2 years ago
A customer wants you to enlarge a photo to 2 /34 its current height. The photo’s current height is 3 1/4 inches. What should its
alex41 [277]

Answer:

8 15/16 inches

Step-by-step explanation:

just multiply 2 3/4 by 3 1/4

5 0
2 years ago
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As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than
irinina [24]
For
ax+by=c
the slope is -a/b
20x+25y≥200
slope=-20/25=-4/5
negative slope

yint is where x=0
20(0)+25y≥200
25y≥200
y≥98
positive yint

x+y<10
slope=-1/1=-1
yint is where x=0
y<10
yint is at y=10

since it is equal, it is solid line
to tell if it is above then sub (0,0) and see if true
0≥200
false
shade on side that doesn't have (0,0), shade above line


x+y<10 doesn't have equal under so it is dashed
test (0,0)
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test point (4,5)

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80+125≥200
225≥200
true

4+5<10
9<10
true


so the ones that are true are

The line x + y < 10 has a negative slope and a positive y-intercept.
The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.
The overlapping region contains the point (4, 5).








3 0
2 years ago
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Suppose you roll a six-sided 50 times and calculate the mean roll, x .
Vitek1552 [10]

Answer:

0.07

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Step-by-step explanation:

Let the number of times, t be = 50

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standard deviation = 1.71

mean = 3.5

suppose we want tp find the probability of a 2 showing. The solution becomes:

probability = \frac{2}{6}  = \frac{1}{3}

c. the  mean of rolls will be 0.07

8 0
2 years ago
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