MATHEMATICS HIGH SCHOOL

Large chocolate bar has a base area of 48.96 square feet and its length is 0.6 foot shorter than twice its width. Find the length and width

Answers

Answer 1

Answer:

The length and the width of the bar are 6.7ft and 7.3ft respectively

The formula for calculating the volume of the chocolate bar is expressed as:

V = Base area * height

Given the following parameters

Base area = 48.96 square feet

B = length * width

48.96 square feet = lw

If the length is 0.6 foot shorter than twice its width, hence;

l = w - 0.6

The expression becomes;

$48.96 = w(w-0.6)\n48.96 = w^2 - 0.6w\nw^2 - 0.6w - 48.96 - 0$

On factorizing the result, w = 7.3ft

Recall that l = w - 0.6

l = 7.3 - 0.6

l = 6.7ft

Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.

Learn more here: brainly.com/question/2607596

Answer 2

Answer:

Answer:

Length=9.6

Width=5.1

Step-by-step explanation:

Step one:

given data

for the large chocolate

Area=48.96ft^2

let the width be x

w=xft

let the length be l

l=(2x-0.6)

Step two:

we know that area A=length * width

48.96=(2x-0.6)*x

48.96=2x^2-0.6x

2x^2-0.6x-48.96=0

divide through by 2 we have

x^2-0.3x-24.48=0

solving the quadratic equation, the roots are

x=5.1

x=-4.8-----not correct cannot be -ve

so x=5.1

the width is 5.1

the length = 2(5.1)-0.6

l=10.2-0.6

l=9.6

check Area= 9.6*5.1= 48.96

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Lots of equations that equal 420? Anybody know some?

Answers

If we do it algebraically, we get

x + y = 420

This is the simplest equation. You see now this is a linear pair in two variables. Thus, there will be infinitely many solutions.

E.g - 419 + 1 = 420

42 * 10 = 420
21 * 20 = 420

etc,....

42 times 10
210 times 2
210 + 210
70 times 6
60 tmes 7
140 times 3

and etc

The list shows the number of points Emma scored in eight basketball games.5, 11, 9, 9, 4, 5, 6, 7
Find the mean.

Answers

Answer:

Mean = 7

Step-by-step explanation:

Given the following data;

Number of games = 8

Scores = 5, 11, 9, 9, 4, 5, 6, 7

We would sum all the scores together to get a total score.

Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56

Now, to find the mean;

$Mean = \frac {total \; scores}{number \; of \; games}$

Mean = 56/8

Mean = 7

Answer:

7 is the mean score.

Step-by-step explanation:

Now we have to,

→ find the required mean score.

The given scores are,

→ 5, 11, 9, 9, 4, 5, 6, 7

→ Numbers = 8

Then the mean score will be,

→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8

→ 56/8 = 7

Hence, the mean score is 7.

It says “find x (round to the nearest hundredth)”

I’m so lost and this is geometry

Answers

Answer:

$the \: third \: angle \: of \: triangle \: is \: 70 \nsum \: of \: triangle \: angles = 180 \: \n 70 + 5x + 6x - 11 = 180 \n 11x + 59 = 180 \n 11x = 180 - 59 = 121 \n x = 121 / 11 = 11$