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3 years ago

Use PEMDAS to simplify the following expression:

Mathematics

2 answers:

Verdich [7]3 years ago

7 0

The answer will be 16 because you multiply then add

sashaice [31]3 years ago

7 0

Ok so, the "P" stands for parentheses, the "E" stands for exponents, or $n^{n}$ . the "M" stands for multiplication, the "d" means you divide, the "a" means you add, and the "s" means you subtract. So, for question number 5, you would do 2x6 because there is no exponents or parentheses, so 2x6=12. Then you would add the 12 and the 4 together, so 12+4=16. Your answer is 16.

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Solve the system <br> 2x+2y+z=-2 <br> -x-2y+2z=-5<br> 2x+4y+z=0

drek231 [11]

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

Step-by-step explanation:

The given is,

$2x+2y+z=- 2$ .......................................(1)

$-x-2y+2z=-5$ ......................................(2)

$2x+4y+z=0$ .........................................(3)

Step:1

Equation (2) is multiplied by -1 ( Eqn(2) × -1 )

$x+2y-2z=5$ .............................(4)

Subtract the equation (1) and (4)

$2x+2y+z=- 2$

$x+2y-2z=5$

( - )

$(2x-x)+(2y-2y)+(z+2z)=(-2-5)$

$x+3z=-7$ ......................(5)

Step:2

Equation (2) is multiplied by -2 ( Eqn(2) × -2)

$2x+4y-4z=10$ ........................(6)

Subtract equation (6) and (3),

$2x+4y-4z=10$

$2x+4y+z=0$

( - )

$(2x-2x)+(4y-4y)+(-4z-z)= (10-0)$

$-5z=10$

$z = - \frac{10}{5}$

z = -2

From the equation (5),

$x+3z=-7$

$x+(3)(-2)=-7$

$x = -7+6$

x = -1

From equation (1),

$2x+2y+z=- 2$

Substitute x and z values,

$(2)(-1)+2y+(-2)=-2$

$2y - 4=2$

$2y=4-2$

$2y=2$

$y=\frac{2}{2}$

y = 1

Step:3

Check for solution,

$-x-2y+2z=-5$

Substitute x,y and z values,

$-(-1)-(2)(1)+(2)(-2)=-5$

$1-2-4=-5$

-5 = -5

Result:

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

8 0

3 years ago

In the diagram below, ST is parallel to QR. angle P is 40 degrees, and QST is 2R+8. Find the measure of STR in degrees.

lozanna [386]

Answer:

148º

Step-by-step explanation:

Use the information given:

The measure of a straight line is 180º. So angle PST=180-(2R+8)
Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)
The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.
Combine like terms, 212-R=180
Subtract, -R=-32
Convert to positive, R=32º

With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

32º+72º+108º+STR=360º
Combine like terms, 212º+STR=360º
Subtract, STR=148º

3 0

3 years ago

2x^2 - 3x - 15 = 5 using quadratic equation

Damm [24]

Answer:

x= 4, 2.5(or 5/2)

Step-by-step explanation:

2x²-3x-15=5

-5 -5

2x²-3x-20=0

plug into quadratic equation

(3+13)/4 (3-13)/4

16/4=4 10/4=2.5

4 0

3 years ago

12: Miriam bought five cases of motor oil on sale. A case of motor oil

klasskru [66]

Answer:

Step-by-step explanation:

7 0

3 years ago

What is 48.5% of 300?

Dafna1 [17]

Answer:

It's 145.5........

8 0

2 years ago

Read 2 more answers