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3 years ago

What is 3x+4/5 = 7-2x

Mathematics

1 answer:

garik1379 [7]3 years ago

5 0

Answer:

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Step-by-step explanation:

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Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help

Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

$x=y-8$ ----> $y=x+8$ ----> equation A

$xy=105$ ----> equation B

substitute equation A in equation B

$x(x+8)=105$

$x^2+8x-105=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+8x-105=0$

$a=1\\b=8\\c=-105$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{484}} {2}$

$x=\frac{-8(+/-)22} {2}$

$x=\frac{-8(+)22} {2}=7$

$x=\frac{-8(-)22} {2}=-15$

Remember that the solution cannot be a negative number

The solution is x=7

therefore

Marco's age is 7 years old

4 0

3 years ago

How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters

IgorC [24]

Answer:

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

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3 years ago

High School Geometry!

astraxan [27]

Answer:

19.5

Step-by-step explanation:

I'm presuming the scale factor's 1.75/1

14*1.75=21.5

21.5-2=19.5

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ladessa [460]

I think it’s D.............

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A student is decorating a circular picture frame that has a diameter of 8 inches. How many inches of fabric will the student nee

Akimi4 [234]

Answer:

Step-by-step explanation:

Circumference is equal to $\pi d$

$C=\pi d$

$C=\pi \times 8$

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3 years ago