Jeff worked 4 2/3 hours in the morning and 3 3/4 hours in the afternoon. How many total hours did he work today?

Answers

Answer 1

Answer: If you would like to know how many total hours did Jeff work today, you can calculate this using the following steps:

4 2/3 hours in the morning + 3 3/4 hours in the afternoon = 4 2/3 + 3 3/4 = 14/3 + 15/4 = 56/12 + 45/12 = (56 + 45) / 12 = 101/12 = 8 5/12 hours

Jeff worked 8 5/12 hours in total.

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What Is The Value Of n So That The Expression X² + 12 x + n Is A Perfect Square Trinomial ? A . 36 B . 36 C . 72 D . 144

Use Gauss-Jordan elimination to solve the following linear system.x – 6y – 3z = 4
–2x – 3z = –8
–2x + 2y – 3z = –14

Answers

$\begin{cases}x-6y-3z=4&(1)\n-2x-3z=-8&(2)\n-2x+2y-3z=-14&(3)\end{cases}$

First eliminate $y$ by adding $(1)$ to three times $(3)$ . This gives

$(x-6y-3z)+3(-2x+2y-3z)=4+3(-14)\iff -5x-12z=-38$

This reduces the system of one of two equations and two unknowns:

$\begin{cases}-5x-12z=-38&(1)^*\n-2x-3z=-8&(2)^*\end{cases}$

You can eliminate $z$ by subtracting $(1)^*$ and four times $(2)^*$ to get

$(-5x-12z)-4(-2x-3z)=-38-4(-8)\iff3x=-6\implies x=-2$

Back-substitute to find $z$ and $y$ . You should end up with $(x,y,z)=(-2,-3,4)$ .

Answer:

(-2,-3,4)

Step-by-step explanation:

if you are asked to solve a system of equations in which there is no linear equation to start with, you can sometimes begin by isolating and substituting a variable that is squared in both equations.

Answers

Answer:

A. True

Step-by-step explanation:

A. P. E. X. Just took the quiz.

Answer:

Step-by-step explanation:

it is true

Solve using substitution. (C&D)
2C+3D=1
-3C+D=15

Answers

Equation 2
-3c+d=15
d=15+3c

Substitute into eq 1
2c+3(15+3c)=1
2c+45+9c=1
11c=-44
c=-44/11

c=-4

Sub into eq 1

2(-4)+3d=1
-8+3d=1
3d=9
d=9/3

d=3

Verify:
2(-4)+3(3)=1
-8+9=1
1=1 -- True.

2c + 3d = 1 ⇒ 2c + 3d = 1 ⇒ 2c + 3d = 1
-3c + d = 15 ⇒ 3(-3c + d) = 15 ⇒ -9c + 3d = 15
   -7c = 16
   -7c = 16
   -7 - 7
   c = -2 2/7
   2(2 2/7) + 3d = 1
       4 4/7 + 3d = 1
      -4 4/7    -4 4/7
   3d = -3 4/7
   3d = -3 4/7
      3 3
   d = -1 4/21
   (c, d) = (-2 2/7, -1 4/21)

Two angles of a quadrilateral are 79° and 154°. What is the sum of the other two angles?

Answers

Answer:

sum of other two angles = 127°

Step-by-step explanation:

the sum of the 4 interior angles in a quadrilateral is 360°

subtract the sum of the two given angles from 360° for sum of other two

sum of other two angles = 360° - (79 + 154)° = 360° - 233° = 127°

The measure of each interior angle of a _______ quadrilateral is _________than ________

Answers

the measure of each interior angle of a convex quadrilateral is less than 180 degrees

What is the eighth term in the addition pattern that begins 13, 25, 37, 49? A.
85

B.
97

C.
109

D.
121

Answers

It's must be B. 97
hope it's helps

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