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olchik [2.2K]
3 years ago
11

Isaac brought three packages of nuts. He bought one package of peanuts that weighed 3.07 pounds. He also brought two packages of

pecans that weighed 1.46 pounds and 1.5 pounds. Did the peanut or the pecans weigh more? How much more?
Mathematics
2 answers:
nirvana33 [79]3 years ago
7 0
The peanuts weigh more because in all the pecans only weigh 2.96 lbs and that is less than 3.07
marusya05 [52]3 years ago
6 0
The one package of peanuts weigh more than both of the packages of pecans. (Work: 3.07-2.96= 0.11 pounds.) The package of peanuts weigh 0.11 pounds more than the 2 packages of pecans.
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Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tahk. Wh
kvasek [131]

Answer:

2002 pounds

Explanation:

To know the weight of the plane, we need to find an equation that relates the amount of fuel to the weight.

This equation can be founded using the following

y-y_1=m(x-x_1)

Where m is the slope, x1 is the number of gallons and y1 is the respective weight. So, replacing m = 6.0, x1 = 51 gallons and y1 = 2206 pounds, we get:

y-2206=6(x-51)

Now, we can solve for y

\begin{gathered} y-2206=6(x)-6(51) \\ y-2206=6x-306 \\ y=6x-306+2206 \\ y=6x+1900 \end{gathered}

Then, we can calculate the weight of an airplane with 17 gallons of fuel replacing x = 17 on the equation above

y = 6x + 1900

y = 6(17) + 1900

y = 102 + 1900

y = 2002

Therefore, the answer is 2002 pounds

5 0
1 year ago
Deshawn is serving ice cream with the birthday cake at his party.He has purchased 19 1/2 pints of ice cream. He will serve 3/4 o
soldier1979 [14.2K]
26 and no there will not be any left
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3 years ago
A bag contains 4 red chips, 5 blue chips, and 6 green chips. If Susie selects a chip from
Anestetic [448]

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3 years ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
Megan has a bag of beads. She uses 28 beads to make each necklace. She makes 12 necklaces. Megan has 135 beads left over.
Bezzdna [24]
If you are asking for how many beads she used in total for the 12 necklaces it is 
336. If you are asking how many beads she had before making the necklaces it is 471. If you are asking how many necklaces can she make with the leftover beads it is about 4. Hope this helps plz mark a crown. 
5 0
3 years ago
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