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nadya68 [22]
3 years ago
12

An empty 5-gal water jug weighs 0.75 lb. With 3 c of water inside, the jug weighs 2.25 lb. Which equation models the jug's weigh

t y when it contains x cups of water?
Mathematics
1 answer:
Deffense [45]3 years ago
8 0
Weight of 1 c
3 c = 2.25 - empty bucket
3 c = 2.25 - 0.75
3 c = 1.5
c = 1.5/3 =1/2

Jug Weigh = (1/2)x +0.75
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The measures of two complementary angles are 12q-9 and 8q+14 . Find the measures of the angles.
Lostsunrise [7]

Answer:

4.25

Step-by-step explanation: 12q - 9 ) + ( 8q + 14 ) = 90

Combine like Terms: 20q + 5 = 90

Subtract 5 from both sides: 20q = 85

Divide both sides by 20: q=4*(1/4)

So your angle is 4(1/4) or 4.25 degrees

8 0
3 years ago
nadia wants to enclose a square garden with fencing has an area of 141 ft.² to the nearest foot how much fencing will she need e
Andreas93 [3]

We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:

Area=a^{2}\\141=a^{2}\\a=\sqrt{141}=11.874

We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.

Hence, we can write:

\text{Amount of fencing}=\text{Perimeter of square}

\text{Amount of fencing}=4a=4(11.874)=47.496

Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.

7 0
3 years ago
Solve the given system by substitution.
wolverine [178]

Answer:

G = 1

h = 2

Step-by-step explanation:

4(2h - 3) - 5h = -6

8h - 12 - 5h = -6

3h - 12 = -6

3h = 6

h = 2

g = 2(2) - 3

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5 0
3 years ago
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Fudgin [204]

Answer:

39/5

Step-by-step explanation:

8 0
3 years ago
Compare and Contrast Graph y = 2x + 5 and y=-13x+5. Describe how these lines are alike and how they are different. *​
krek1111 [17]

Here are a couple I found:

<u>Similarities</u>:

  • They have the same y-intercept of (0,5).
  • They are both in slope-intercept form.

<u>Differences</u>:

  • The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
  • They have different x-intercepts. (y = 2x + 5 intersects (-\frac{5}{2}, 0) while y = -13x + 5 intersects at (\frac{5}{13}, 0)

<u></u>

<u>Explanation</u>:

Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).

As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.

4 0
2 years ago
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