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BartSMP [9]
3 years ago
9

The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest pen

ny.
Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

537.6

Step-by-step explanation:

0.93*x=500

x=500/0.93

x=537.6

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Hello, can someone help me with the working out to this problem
timama [110]

\text{If}~ \alpha ~\text{and}~ \beta~ \text{are the roots,}\\ \\x^2 -(\alpha + \beta)x +\alpha\beta = 0\\\\\text{For}~ x^2+3x-2=0\\\\\alpha +\beta=-\dfrac ba=-3\\ \\\alpha \beta = \dfrac ca = -2\\\\

\text{So,~} \alpha^3+\beta^3 = (\alpha + \beta)(\alpha^2 + \beta^2 -\alpha \beta)\\ \\~~~~~~~~~~~~~~~~=(\alpha+\beta)\left[(\alpha +\beta)^2 -2\alpha \beta - \alpha \beta\right]\\\\~~~~~~~~~~~~~~~~=(\alpha+\beta)\left[(\alpha +\beta)^2 -3\alpha \beta \right]\\\\~~~~~~~~~~~~~~~~=-3\left[(-3)^2-3(-2)\right]\\\\~~~~~~~~~~~~~~~~=-3(15)\\\\~~~~~~~~~~~~~~~~=-45\\\\\text{And}~~~\alpha^3 \beta^3= (\alpha \beta )^3 = (-2)^3 = -8\\\\

\text{Hence the equation whose  roots are}~ \alpha^3 ~\text{and}~ \beta^3~ \text{is:}\\ \\ x^2-(\alpha^3 + \beta^3)x +\alpha^3 \beta^3 =0\\\\\implies  x^2 -(-45)x+(-8)=0\\\\\implies x^2 +45x -8=0

3 0
3 years ago
Please answer will mark as brainliest
Aleksandr-060686 [28]

Answer:

ANSWER

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Sam says 90/(-9) equal 10. Is he correct? Use the drop-down menus To explain your answer.
Klio2033 [76]

Answer:

No

Step-by-step explanation:

90/(-9) = -10.  Any time we multiply or divide with one of the numbers being negative means that the solution will be negative.  If both numbers are negative the answer will be positive.  Hope this helps:)

8 0
3 years ago
Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons. A small pen
seropon [69]

Answer:

  Paolo made an error when he cross multiplied the proportion

Step-by-step explanation:

The proportion is ...

  \dfrac{3}{12}=\dfrac{x}{8}

"Cross multiply" means "multiply both sides of the equation by the product of the denominators."

  \dfrac{3}{12}(12)(8)=\dfrac{x}{8}(12)(8) \quad\text{cross multiply}\\\\(3)(8)=(x)(12) \quad\text{Paolo got something different}

4 0
3 years ago
Read 2 more answers
Please help me guys ​
wariber [46]

Step-by-step explanation:

midpoint : it is the point in the middle marking half of the total distance.

therefore,

1)

EV = LE = LV/2

10 = 5m

m = 2

2)

LR = RO = LO/2

n + 4 = 12

n = 8

3)

LER and LVO are similar triangles. that means they have the same angles, and the ratio of one corresponding pair of lines or sides between both triangles is the same for all corresponding line pairs.

we know e.g. LE/LV = 1/2.

the same ratio applies then to ER/VO = 1/2 = 18/20p.

18/20p = 1/2

18 = 20p/2

2×18 = 20p

36 = 20p

p = 36/20 = 9/5 = 1.88888888888...

4)

VL = 2×EL = 2×10 = 20

5)

LO = 2×RO = 2×12 = 24

6)

as we have already calculated for 3) :

VO = 36

7)

36 + 20 + 24 = 80

8)

10 + 12 + 18 = 40

9)

remember, the and angles in similar triangles.

LVO = 52°

10)

all angles around a single point in one side of a line are together 180°.

in this case there are 2 angles around E : LER and VER.

VER = 180 - LER = 180 - 52 = 128°

4 0
2 years ago
Read 2 more answers
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