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suter [353]
2 years ago
9

Hannah needs two 2/3 -footboards and one 1 1/2-footboard for a woodshop project. For each question below, write your answer as a

mixed number in the simplest form and show all work needed to support your answer.
• What is the total length of board that Hannah needs?

• If Hannah cuts the pieces she needs from a 6-foot board, what is the length of the board that will be leftover?

• How many woodshop projects can Hannah make from a 6-foot board?
Mathematics
1 answer:
m_a_m_a [10]2 years ago
7 0

Answer:

total length: 2 1/6 ft   Leftover: 4 5/6 ft  How many: 2

Step-by-step explanation:

Total length: add 2/3ft and 1 1/2 ft together.

Leftover: Subtract 2 1/6ft from 6ft

How many: Multiply 2 1/6 by 2

You might be interested in
HURRY WILL MARK AS BRAINLIEST IF CORRECT
Ray Of Light [21]

Answer:

The nuber of cells double

Step-by-step explanation:

The cyroplasmic or cytokinesis is the divison of cells at the end of mitosis bringing the seperation to become 2 daughter cells.

5 0
3 years ago
Evaluate the expression when X= -2 x^2 + 9x + 3
TiliK225 [7]

Answer:

-11

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

x² + 9x + 3

x = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                  (-2)² + 9(-2) + 3
  2. Exponents:                                                                                                        4 + 9(-2) + 3
  3. Multiply:                                                                                                             4 - 18 + 3
  4. Subtract:                                                                                                            -14 + 3
  5. Add:                                                                                                                   -11
3 0
3 years ago
31 gallons of gas cost $82.15. What is the unit rate for 1 gallon of gas ?
alexgriva [62]
Divide total price by gallons:

82.15 / 31 = 2.65 for 1 gallon
7 0
3 years ago
20. What do you think would happen to the variability (standard deviation) of the distribution of sample proportions if the samp
Naya [18.7K]

Answer:

Step-by-step explanation:

Sample proportion p is the proportion of favourable numbers to total number in the sample

By central limit theorem and also approximation of binomial to normal , we have sample proportion for large number of samples will be normal

with mean = sample proportion

and std deviation = \sqrt{\frac{pq}{n} }

Thus we find standard deviation of proportion sample is inversely proportional to the square of the sample size n.

It follows automatically that as sample size increases std deviation decreases.

Here from 80 sample size was made to 200

So std deviation would decrease automatically

4 0
3 years ago
A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
bonufazy [111]

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

___

The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

6 0
3 years ago
Read 2 more answers
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