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2 years ago

Help help help help math math

Mathematics

1 answer:

stealth61 [152]2 years ago

8 0

Answer: -4

Step-by-step explanation:

$\frac{a}{4} +3=2$

Start by subtracting 3 from both sides

$\frac{a}{4} +3=2\\\frac{a}{4} +3-3=2-3\\\frac{a}{4} =-1$

Now multiply each side by 4

$\frac{a}{4} =-1\\\frac{a}{4}(4) =-1(4)\\a =-4\\$

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Enable M = Mary's age now So Mike's age is 3M 3M + 4 = 2 (M + 4) = 2M + 8 Now, subtract 2M from the two factors. then you definitely have: M + 4 = 8 or M = 4 examine: Mike is now 12. In 4 years, Mary would be 8 and Mike would be sixteen.

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3 years ago

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Plss answer my questions

KIM [24]

Answer:

a) 450. b) 1:1.25 c) 32 rooms

Step-by-step explanation:

1. 100*4.5 = 450

2. 16:20 divide by 4 -> 4:5 (simplifies to 1:1.25)

3. 64/2 = 32 rooms needed. They have 16.

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2 years ago

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Y=-x^2+2x+10 y=x+2 Substitution Please show your work Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

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

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

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

substitute in the formula

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

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

Find the values of y

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

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2 years ago

A hot tub pump circulates 3.9 cubic feet of water per minute.how many cubic inches of water does it circulate each second

Basile [38]

Answer:

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Step-by-step explanation:

you take 3.9 cubic feet and multiply it by 12 to convert it into inches and you get 46.8 cubic inches. then you divide by 60 to convert minutes to second and you get 0.78. hope that helps

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Ainat [17]

First one is -8.

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