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slava [35]
3 years ago
5

3. Sam and Tim each have savings accounts. Every month they each put in some of their

Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:

y = 30x +50 --- Sam

y = 20x +80 --- Tim

Step-by-step explanation:

Given

Sam                         Tim

х  --- f(x) ---------------  g(x)

1  --- 80   --------------- 100

2  --- 110  --------------- 120

3  --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

(x_1,y_1) = (1,80)

(x_2,y_2) = (4,170)

Next, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{170 - 80}{4 - 1}

m = \frac{90}{3}

m = 30

Next, we calculate the line equation using:

y - y_1=m(x-x_1)

y - 80 = 30(x - 1)

y - 80 = 30x - 30

Make y the subject

y = 30x - 30 + 80

y = 30x +50

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

(x_1,y_1) = (1,100)

(x_2,y_2) = (4,160)

Next, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{160 - 100}{4 - 1}

m = \frac{60}{3}

m = 20

Next, we calculate the line equation using:

y - y_1=m(x-x_1)

y - 100 = 20(x - 1)

y - 100 = 20x - 20

Make y the subject

y = 20x - 20+100

y = 20x +80

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The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. Complete the explanation for wh
kicyunya [14]

Answer:

The center is \frac{1}{25} of the whole target.

Step-by-step explanation:

Given:

Diameter of the center = 5 inches

Diameter of the whole target = 25 inches

We need to find the part of the center to the whole target.

Solution,

Firstly we will find out the areas of center and whole target.

For center;

Diameter = 5 in

Radius of circle is equal to half of the diameter.

radius = \frac{diameter}{2}=\frac{5}{2}=2.5\ in

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = \pi \times{2.5}^2

For whole target;

Diameter = 25 in

Radius of circle is equal to half of the diameter.

radius = \frac{diameter}{2}=\frac{25}{2}=12.5\ in

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = \pi \times12.5^2

Now to find the part of the center to the whole target we will divide Area of center with Area of the target.

framing in equation form we get;

the part of the center to the whole target = \frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}

Hence the center is \frac{1}{25} of the whole target.

6 0
3 years ago
Find x for each of these triangles please
notka56 [123]

Answer:

8) 10°

9) X can not be determined.

10) 10°

11) 12 units.

Step-by-step explanation:

8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.

So, 6x = 60°  

⇒ x = 10°.

9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.

So, 6x - 5 = 6x

So, x can not be determined from this equation.

10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°

Hence, 3x = 30°

⇒ x = 10°

11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.

Again, ∠ X is given to be 60°.

Therefore, each angle is 60°.

So, the triangle XYZ is equilateral, and each side will be equal.

So, 3x + 8 = 4x - 4

⇒ x = 12 units. (Answer)

3 0
3 years ago
Please help me answer these questions!
sattari [20]
The answer for 15 is 5/6
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–2x + 2y = -4<br> 3х + Зу = -18
rodikova [14]

Answer:

(-2, -4)

Step-by-step explanation:

–2x + 2y = -4

3х + Зу = -18

Divide the first equation by 2

–2x/2 + 2y/2 = -4/2

-x +y = -2

Divide the second equation by 3

3х/3 + Зу/3 = -18/3

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Add these equation together

-x +y = -2

x + y = -6

-------------------

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2y = -8

Divide each side by 2

2y/2 = -8/2

y = -4

Now we need x

x+y = -6

x-4 = -6

Add 4 to each side

x-4+4 = -6+4

x = -2

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