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const2013 [10]
2 years ago
14

Apples with mass 90 grams or less cost 32p each. Apples with mass more than 90 grams cost 39p each.

Mathematics
2 answers:
Sonja [21]2 years ago
8 0

Answer:

So the answer is £67.08p

Step-by-step explanation:

156 X 0.32 + 4992 - so £49.92

Then, (200-156) X0.39 = £17.16

£17.16 + £49.92 = £67.08!! - hope this helps

Sergio039 [100]2 years ago
8 0

Answer:

£67.08

Step-by-step explanation:

44 apples weigh more than 90 grams.

156 apples weigh 90 grams or less.

0.39 x 44 = £17.16

0.32 x 156 = £49.92

49.92 + 17.16 = £67.08

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The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation
labwork [276]

Answer:

Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.

We know that radius is half of diameter.

\text{Radius = }\dfrac{\text{Diameter}}{2}

\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}

The equation for circle given the center and radius, can be represented as:

(x-a)^{2}+ (y-b)^{2} = r^{2}

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.

Let us consider the following formula:

(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq

(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0

Hence, Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

4 0
2 years ago
Ok pa utak nyo? tanong kayo ng tanong?​
Alexxx [7]

Answer:

yes it is. Is urs?

Step-by-step explanation:

8 0
3 years ago
Write an equation in slope-intercept form for the line that satisfies the following condition.
a_sh-v [17]
You use y=mx+b and you get y=6x-33
5 0
3 years ago
Using the slope formula, find the slope of the line through the points (0,0) and (5,10).
pychu [463]
<h2>Answer:</h2>

First, we need to find the slope of the line using <u><em>slope formula*</em></u>.

m = \frac{10 - 0}{5 - 0} = \frac{10}{5} = 2

Slope of the line: <em>2</em>

Second, we determine the <em><u>y-intercept</u></em> using the slope we just found, one of the given points, and <em><u>slope-intercept form**</u></em>.

10 = 2(5) + b\\\\10 = 10 + b\\\\0 = b

Because <em>b = 0</em>, this means that the y-intercept is the origin, (0,0), so it is not written in the equation.

Finally, we create the equation of the line.

y = 2x

Slope formula: <em>y₂ - y₁/x₂ - x₁</em>

Slope-intercept form: <em>y = mx + b</em>

8 0
2 years ago
What is the difference of the rational expressions below
Burka [1]

\bf \cfrac{9}{x^2}-\cfrac{2x+1}{8x}\implies \stackrel{\textit{our LCD will be }8x^2}{\cfrac{(8)9~~-~~(x)(2x+1)}{8x^2}}\implies \cfrac{72-(2x^2+x)}{8x^2} \\\\\\ \cfrac{72-2x^2-x}{8x^2}\implies \cfrac{-2x^2-x+72}{8x^2}

6 0
3 years ago
Read 2 more answers
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