Eleanor and max used two rectangular wooden boards to make a set for the school play.one board was 6 feet long and the other board was 5 and 1/2 feet long. the two boards had equal widths .The total are off the set was 60 3/8 square feet.What was the width??

Answers

Answer 1
Answer: Area = Length × Width

60 3/8 = (5 1/2 × w) + (6 × w)
60 3/8 = 11 1/2 + 2w
48 7/8 = 2w
24 7/16 = w

Width: 24 7/16
Answer 2
Answer:

By definition, the area of a rectangle is:

Where,

w: width of the rectangle

l: length of the rectangle

The total area is given by:

Where,

A1: rectangular wooden board 1

A2: rectangular wooden board 2

Substituting we have:

Rewriting we have:

 

Answer:

The width is given by:


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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:

B

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

minimum (-2,-1)

Answer:B

Step-by-step explanation:

Which fraction is greater 2/3 or 4/5

Answers

The fraction which is greater among (2)/(3) or  (4)/(5)  using the least common multiple is  (4)/(5).

A fraction is defined as a part of a whole. The upper part of the fraction is called the numerator and the lower part is called the denominator.

The greater fraction can be calculated using the least common method of the denominators.

The least common multiple (LCM) of the denominators  3 and 5, is 15.

Convert (2)/(3)  to get the denominator of 15:

(2)/(3)= (2)/(3)* (5)/(5)

= (10)/(15)

Convert (4)/(5)  to get the denominator of 15:

(4)/(5) = (4)/(5)* (3)/(3)

    =(12)/(15)

After the comparison of  (10)/(15) and (4)/(5) , it is observed that  (10)/(15)  is smaller than (4)/(5).

Therefore, (4)/(5) is the greater fraction.

Learn more about fractions here:

brainly.com/question/10354322

#SPJ4

To find the answer, you have to first find the lcm (lowest common multiple)
The lcm is 15
Now you have to multiply both fractions so the denominator is 15.
2/3 times 5=10/15                     4/5 times 3= 12/15
12 is greater than 10 so 4/5 is greater

Express 24 as a percentage of 44?

Answers

(24/44) x 100 = 54.55% (2dp)

1. Beginning with the equation x= -18, write the new equation produced by dividing both sides by $3.

Answers

X/3=-6 is the correct answer

Se an integer strategy to
2 - (-8)=
= 10

Answers

Answer:

Here's one way to do it

Step-by-step explanation:

You  can use a number line for the subtraction of integers.

Subtracting a negative number is the same as adding its opposite; you move to the right on the number line.

The opposite of -8 is +8, so

2 - (-8) is the same as 2 + 8.

Start at 2 and move 8 units to the right.

See the number line below.

2 - (-8) = 10

you are given the figure on the coordinate grid shown. If it is reflected over the x-axis then shifted up 3 units

Answers

Answer:

It is D

Step-by-step explanation:

I quickly skipped the question but i know it is D, it might be switched for you, but it is the longest sentence and says some things about intersection and stuff. ALSO I DID THIS ON USA TEST PREP

Answer:

You shifted up 3 units?