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Margaret [11]
2 years ago
7

Graph the liner equation for y=x÷3

Mathematics
1 answer:
KonstantinChe [14]2 years ago
3 0
' x ÷ 3 ' is just another way to write  ' 1/3 x ' ,

so your equation is        y = 1/3 x .

The graph of that equation is a straight line,
going through the origin, with a slope of 1/3 .

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Calculate how much each size per gram, and circle which gives the best value for money. 250g for $2.30, 400g for &3.40, 1Kg
Bezzdna [24]
To do this, we must set up ratios:
Option One:
\frac{2.30}{250g}  \\  \frac{0.0092}{1g}  \\ 0.0092/g
The first options costs only $0.0092/gram (a fraction of a penny)!
Option Two:
\frac{3.40}{400g}  \\  \frac{0.0085}{1g} \\ 0.0085/g
The second option costs only $0.0085/gram (cheaper than option one)!
Option Three: 
This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore, 1,000g costs $5.65. Next, we set up the ratio as usual:
\frac{5.65}{1000g} \\  \frac{0.00565}{1g}  \\ 0.00565/g
The third option costs $0.00565/gram.

Therefore, option three is the cheapest! 

Hope this helps!
4 0
3 years ago
Twelve education students, in groups of four, are taking part in a student-teacher program.
eduard

Answer:

B. 330

Step-by-step explanation:

got it right on edge :)

4 0
3 years ago
How many times larger is 4 × 10^10 than 2 × 10^8?
fgiga [73]

Answer:10

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Type the correct answer in each box
Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

5 0
3 years ago
Hallie is helping put away dishes in the school cafeteria . She is stacking bowls to put into the cupboard. If she has 62 bowls
aliina [53]

The minimum number of Halle will have 15 stacks.

3 0
2 years ago
Read 2 more answers
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