MATHEMATICS MIDDLE SCHOOL

Sandy is working with a carpenter to frame a house. They are using 8-foot-long boards, but each board must be cut to be 7 feet 10 3/4 inches long. How much is cut off each board?

Answers

Answer 1

Answer:

Answer:

1 1/4 in of material is cut off each board.

Step-by-step explanation:

To answer this, subtract 7 ft 10 3/4 inches from 8 ft.

First, rewrite 8 ft as 7 ft 12 inches.

Then subtract:

7 ft 12 in

- 7 ft 10 3/4 in

----------------------

1 1/4 in

1 1/4 in of material is cut off each board.

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Solve for r:

-5 = 7 + 3r

Answers

So,

-5 = 7 + 3r
(subtract 7 from both sides)
-12 = 3r
(divide both sides by 3)
-4 = r

$-5=7+3r\ \ \ \ \ \ |combine\ like\ terms\n\n-5-7=3r\n\n-12=3r\ \ \ \ \ \ \ |:3\n\nr=-4$

How do u answer 3(x+2)=x-18

Answers

$3(x+2)=x-18\n \n3x+6=x-18\n \n3x-x=-18-6\n \n2x=-24\ /:2\n \nx=-12$

Hey! Add me! :) Im 13 btw.

anyways, how you solve this problem is simple:

first:distribute, which 3(x+2) turns into 3x+6

then:set 3x+6 equal to x-18

subtract x from both sides, then add 18 to -18 and 6,

the result of this is 2x=24

divide 24 by 2, you get 12 so x is equal to 12.

Good LUCK! :) rate mine the best c: lyy

How to solve 0.5(5-7x)=8-(4x+6)

Answers

$\frac { 1 }{ 2 } \left( 5-7x \right) =8-\left( 4x+6 \right) \n \n \frac { 1 }{ 2 } \left( 5-7x \right) =8-4x-6$

$\n \n \frac { 1 }{ 2 } \left( 5-7x \right) =2-4x\n \n \frac { 1 }{ 2 } \left( 5-7x \right) =2\left( 1-2x \right) \n \n 2\cdot \frac { 1 }{ 2 } \left( 5-7x \right) =2\cdot 2\left( 1-2x \right)$

$\n \n 5-7x=4\left( 1-2x \right) \n \n 5-7x=4-8x\n \n -7x+8x=4-5\n \n x=-1$

Hey! Just answering so the other guy can have brainiest! Hope this helped!

What is 624/60 written in mixed numbers

Answers

Well,
10 2/5 is the correct answer because 60 can go into 624 10 times evenly. Leaving the remainder if 24 which you put over 60. Making it 10 24/60 but then after simplifying making the final answer 10 2/5
Hope I helped

The answer is 10 24/60.

Sketch the quadratic function f(x) = x2 + 4x + 3. Which key feature of the graph is given incorrectly?A) minimum (-2, -1)
B) y-intercept (0, 2)
Eliminate
C) x-intercept (-3, 0)
D) x-intercept (-1, 0)

Answers

Answer:

Step-by-step explanation:

x-intercepts:

factor the function

f(x)=(x+3)(x+1)

zeros at x=-3,-1

x-intercepts --> (-3,0),(-1,0)

y-intercepts:

set x=0 in f(x)

f(0)=(0)^2+4(0)+3=3

y-intercept --> (0,3)

find minimums and maximums

The max or min of a quadratic function occurs at x=-b/(2a). If a is negative, the max value of the function is f(-b/(2a)). if a is positive, the minimum value of the function is f(-b/(2a)).

f(x)=ax^2+bx+c

f(x)=x^2+4x+3

here a is positive so you are looking for a minimum,

x=-b/(2a)

x=-4/(2*1)

x=-2 ----> plug into f(x), f(-2)=(-2)^2+4(-2)+3=-1