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2 years ago

If 65% of a number is 234 and 10% of the same number is 36, find 75% of that number

Mathematics

1 answer:

grigory [225]2 years ago

6 0

65%= 234

100%= 234÷65×100

100%= 360

75%= 360÷100×75

75%= 270

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Robert earns $300 each week. What equation shows the relationship between salary per week (s), number of weeks worked (w), and t

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For the answer to the question above asking what equation shows the relationship between salary per week (s), number of weeks worked (w), and total income (t) of Robert who earns 300 dollars per week?

The answer would be the equation is: t= s x w

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Answer:

Explanation:

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Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

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What is the result of substituting for y in the bottom equation y=x+3 y=x^2+2x-4

8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

Solution:

Given that,

$y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4 ----- eqn 2$

We have to substitute eqn 1 in eqn 2

$x + 3 = x^2 + 2x - 4$

$\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0$

$\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}$

$x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}$

$x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925$

$Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925$

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

6 0

3 years ago

A) A shopkeeper marks the price of an article R's. 550 and gives the customer discount of 10℅.In this way, he gains Rs 75 on the

kumpel [21]

Answer:

Marked Price =MP=550 Marked Price =MP=550

Selling Price=SP=550-10%=550-55=495Selling Price=SP=550-10%=550-55=495

The profit earned is , SP−Profit=CP(CostPrice)The profit earned is , SP−Profit=CP(CostPrice)

CP=495−75=420CP=495−75=420

The difference of MP and CP is 550−420=130The difference of MP and CP is 550−420=130

The percentage of difference w.r.t CP is The percentage of difference w.r.t CP is

130420×100=30.95%

Step-by-step explanation:

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2 years ago