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3 years ago

What is the value of x? (10x-20) (6x+8) x=

Mathematics

1 answer:

Rainbow [258]3 years ago

5 0

(10x-20)+(6x+8)=180 10x+6x-20+8 =180 16x-12=180 x=180+12/16 =192/16=48

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A line has a slope of -1/8 and passes through the point (8, 9). What is its equation in point-

nikdorinn [45]

Answer: y-9=-1/8(x-8)

Step-by-step explanation: Hope this helps.

8 0

3 years ago

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Four brothers have ages which are consecutive even integers. If the product of the ages of the two middle brothers is 528, how o

exis [7]

Answer:

The oldest brother is of age $26$ years.

Step-by-step explanation:

As the age of four brothers are consecutive even integers.

We assume that the ages are $x,(x+2),(x+4),(x+6)$ as their respective ages.

And the age of the youngest brother $x$ yrs.

Age of the oldest brother $(x+6)$ yrs.

According to the question

Product of two middle brother that is $(x+2)(x+4) =528$

So we will arrange this in our equation and solve the quadratic.

$(x+2)(x+4) =528$

$x^{2}+4(x)+2(x)+8 =528$

$x^{2}+4(x)+2(x)+8-528=0$

$x^{2}+6(x)-520=0$

Solving the quadratic by using middle term splitting or directly with quadratic formula we can find the value of 'x' .

Here it is solved with quadratic formula:

Comparing with standard equation $ax^{2}+b(x)+c=0$ ,here $a=1,b=6\ and\ c=-520$ .

$x= \frac{-b \pm \sqrt{b^2-4ac} }{2a} = \frac{-6 \pm \sqrt{6^2-4\times \ (-520)} }{2\times 1}$

$x=20,-26$

We will work with the positive value of (x) so the the age of the youngest brother $=(x)=20$ yrs.

And the age of the the oldest brother $=(x+6)=(20+6)=26$ years.

The age difference is of $(26-20)=6$ years.

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4 years ago

Eleanor recently visited a bank to get a car loan. Upon reviewing her credit score, the bank decided to deny her request for a c

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Answer:

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Step-by-step explanation:

got it right on my test

8 0

4 years ago

If one would dissolve 60g of sugar in 300g of water, what would the concentration of sugar in this syrup be?

Pie

Density of water = 1000 kg/m^3
1 m^3 = 1000 litres

Therefore,
1000 kg/1000 l => 1 kg/l => 1000 g/l

Then, 300 g of water = 300/1000 l = 0.3 l

The concentration of the syrup = mass/amount of water = 60 g/0.3 l = 200 g/l

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4 years ago

An insurance agent receives 16% commission on every premium paid. How much commission is paid on a policy with a premium of $497

ollegr [7]

Here we are given the information that an insurance agent receives 16% commission on every premium paid.

Now we are given that a premium of $497.69 is paid.

Let us say $x is the commission paid on the policy with a premium of $497.69.

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So we have to find 16% of 497.69 to get the commission amount x.

So finding 16% of 497.69.

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Answer: Commission of $79.63 is paid on a policy with a premium of $497.69.

7 0

3 years ago

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