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3 years ago

Select all the expressions that are equivalent to 16x + 36

Mathematics

2 answers:

Doss [256]3 years ago

4 0

Answer:

C and D

Step-by-step explanation:

Here, you just have to multiply each equation out. In order, it goes:

16x + 320

16x + 36x

16x + 36

16x + 72

Only C and D match 16x + 36, so those are your answers.

stira [4]3 years ago

4 0

D is the better fit for it

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The quantity of 6 less than a number multiplied by 8

Bas_tet [7]

6x-6=8x

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-6=2x

divide both sides by 2

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3 years ago

Can someone help please

Andreas93 [3]

Answer:

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3 years ago

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What are the solutions to the equation 2x^2 + 9x =5

Maksim231197 [3]

Answer:

$\displaystyle -5 \ and \ \frac{1}{2}$

Step-by-step explanation:

$2x^2 + 9x =5$

we have to move 5 in the other side with a different sign, to get a 2 grade ecuation

$2x^2 + 9x -5= 0$

now we know

a=2

b=9

c=-5

we have to find delta

$\boxed{\Delta=b^2-4ac} \\\\ \Delta=9^2-4\cdot2\cdot(-5)\\ \Delta=81+40 \\ \Delta=121$

and now we have to use the formula to find the root square

$\displaystyle \boxed{ X_{1,2}=\frac{-b\pm\sqrt{\Delta} }{2a} }$

$\displaystyle X_1=\frac{-b-\sqrt{\Delta} }{2a} =\frac{-9-11}{2\cdot2}=\frac{-20}{4} =-5$

$\displaystyle X_2=\frac{-b+\sqrt{\Delta} }{2a} =\frac{-9+\sqrt{121} }{2\cdot4} =\frac{-9+11}{4} =\frac{2}{4} =\frac{1}{2}$

8 0

3 years ago

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How much water should be added to a 15 gallon solution of 35% hydrogen peroxide to create an 8% solution? how many gallons would

katrin2010 [14]

15 gallons of 35% peroxide solution contains 0.35 × 15 = 5.25 gallons of hydrogen peroxide. The rest of the volume is made up of 15 - 5.25 = 9.75 gallons of water.

If we add $x$ gallons of water to the solution, the amount of hyrdrogen peroxide in the solution stays the same, but the volume of water increases to $9.75+x$ gallons, and the total volume increases to $15+x$ gallons.

To get a concentration of 8% in this diluted solution, we add $x$ gallons of water such that

$\dfrac{5.25}{15+x} = 0.08$

Solve for $x$ .

$5.25 = 0.08 (15 + x)$

$5.25 = 1.2 + 0.08x$

$0.08x = 4.05$

$x = 50.625$

To get the desired concentration, one must add 50.625 gallons of water, and one will end up with a total volume of 65.625 gallons of solution.

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