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3 years ago

The points on the graph show how much Chef Allen pays for different amounts of beans

Mathematics

2 answers:

Nitella [24]3 years ago

8 0

Answer:

Step-by-step explanation:

Leni [432]3 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

The ordered pair (25,20) shows that Chef Allen pays $20 for 20 pounds of beans. The ratio of pounds to dollars is

$\dfrac{25}{20}=\dfrac{5}{4}$

A. Another plotted points are (5,4), (10,8), (15,12) and (20,16). Find the ratio of pounds to dollars in each case:

$(5,4):\ \ \ \dfrac{5}{4}\\ \\(10,8):\ \ \ \dfrac{10}{8}=\dfrac{5}{4}\\ \\(15,12):\ \ \ \dfrac{15}{12}=\dfrac{5}{4}\\ \\(20,16):\ \ \ \dfrac{20}{16}=\dfrac{5}{4}$

All points show the same ratio.

B. The line connecting given points is the graph showing how much Chef Allen pays for different amounts of beans. This line starts at the origin (0,0) and passes through the points (5,4), (10,8), (15,12) and (20,16).

C. If he cost of 25 pounds of beans is $20, then the cost of 50 pounds of beans is $40.

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Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

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ANEK [815]

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0.958 * 0.325

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We can see from the example above that the result of the multiplication of the two decimals that are less than one, results in a product that is less than the factors that were multiplied.

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3 years ago

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Irina18 [472]

Answer:

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Step-by-step explanation:

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77julia77 [94]

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Step-by-step explanation:

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