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nika2105 [10]
3 years ago
5

Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas.The total weight of her purchases was 7 1

/2 pounds.How much did the bad of grapefruit weigh? Please give me the answer and show me how you do it!
Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0
The bag of grapefruit weighs 3 and 11/16
first: find a common denominator of 1/2, 5/8, and 3/16; 16 is the least common multiple.
16 divided by 2 is 8, so we multiply 1 by 8 and have 8/16
16 divided by 8 is 2, so we multiply 5 by 2 and have 10/16.
now, the three quantities given are 1 and 10/16, 2 and 3/16, and 7 and 8/16.
then, we subtract 1 and 10/16 from 7 and 8/16
  7 8/16
- 1 10/16
this is 5 and 7/8, or 5 and 14/16

then, we subtract 2 and 3/16 from 5 and 14/16 to get 3 and 11/16

there you have it :)
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To find the vertex of our parabola, we are going to use the vertex formula: For a quadratic of the form f(x)=x^2+bx+c it vertex (h,k) is given by h= \frac{-b}{2a}, k=f(h).
We can infet from our parabola that a=2 and b=-12. So lets replace those values in our formula:
h= \frac{-b}{2a}
h= \frac{-(-12)}{2(2)}
h= \frac{12}{4}
h=3
k=f(h)=2(3)^2-12(3)+19
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k=18-17
k=1
The vertex (h,k) of our parabola is (3,1)

Now to find our second point, we are going to evaluate our parabola at x=0
f(0)=2(0)^2-12(0)+19
f(0)=0+0+19
f(0)=19
Our second point is (0,19)

We can conclude that we can graph the parabola f(x)=2x^2-12x+19 using its vertex (3,1) and the point (0,19) as follows: 

7 0
3 years ago
What is the equation of the line that passes through (-5, 0) and (4, 3)?
kotegsom [21]

Answer:

y = 1/3x + 5/3

Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - 1

3 - 0/ 4 - (-5)

= 3 / 9

= 1/3

Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

3 = 1/3(4) + b

3 = 4/3 + b

5/3 = b

The equation is y = 1/3x + 5/3

3 0
2 years ago
Choose the graph of the linear equation 30x+75y=300
vivado [14]

Answer:

there ya go :)

4 0
2 years ago
I need help!! F(4) I f f(x)=3x-1
Amanda [17]

Answer:

f(4) =11

Step-by-step explanation:

f(x)=3x-1

Let x = 4

f(4)=3*4-1

    = 12-1

    = 11

6 0
3 years ago
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