1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Burka [1]
3 years ago
11

Mrs porcelli’s classroom bulletin board is 2/1/4 feet long. Ms Smith’s bulletin board is 3 times as long Mrs porcelli’s.How long

is Ms.Smith’s board.
Mathematics
1 answer:
yuradex [85]3 years ago
6 0

Answer:

6.75 or 6 3/4

Step-by-step explanation:

First take the whole number and multiply that by 3.

2*3=6

Now, take the fraction and multiply that times 3.

1/4 as a decimal is 0.25. You can ignore the decimal point right now, but you have to remember it is there later.

So, whithout the decimal point, 25*3= 75.

Now, you add the decimal. The 75 is now 0.75, with the decimal.

Add the whole number and the decimal, and you have your answer!

6+0.75=6.75. As a fraction this is 6 3/4

You might be interested in
Help evaluating the indefinite integral
Dafna11 [192]

Answer:

\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }

General Formulas and Concepts:
<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:
\displaystyle (cu)' = cu'

Derivative Property [Addition/Subtraction]:
\displaystyle (u + v)' = u' + v'
Derivative Rule [Basic Power Rule]:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Integration

  • Integrals

Integration Rule [Reverse Power Rule]:
\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Property [Multiplied Constant]:
\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx

<u>Step 2: Integrate Pt. 1</u>

<em>Identify variables for u-substitution/u-solve</em>.

  1. Set <em>u</em>:
    \displaystyle u = 4 - x^2
  2. [<em>u</em>] Differentiate [Derivative Rules and Properties]:
    \displaystyle du = -2x \ dx
  3. [<em>du</em>] Rewrite [U-Solve]:
    \displaystyle dx = \frac{-1}{2x} \ du

<u>Step 3: Integrate Pt. 2</u>

  1. [Integral] Apply U-Solve:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du
  2. [Integrand] Simplify:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du
  3. [Integral] Rewrite [Integration Property - Multiplied Constant]:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du
  4. [Integral] Apply Integration Rule [Reverse Power Rule]:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C
  5. [<em>u</em>] Back-substitute:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }

∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.

---

Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

5 0
2 years ago
Katie is getting her laundry done it cost $2.25 per square foot of flowers added to the yard if she wants 12.4 ft.² of flowers h
7nadin3 [17]

Answer:

Katie needs to pay $27.9.

Step-by-step explanation:

Given;

Cost of per foot = $2.25

Number of  flowers in her yard = 12.4 square foot

We need to find how much she needs to pay.

Solution:

Now we know that;

1\ ft^2 = \$2.25

So for 12.4 ft^2 = Cost for 12.4 ft^2 .

By using Unitary method we get;

Cost for 12.4 ft^2 = 2.25\times12.4= \$27.9

Hence Katie needs to pay $27.9.

5 0
2 years ago
Help will give crown
Rzqust [24]

Answer:

x            y

1            1

5            17

6             21

7              25

Step-by-step explanation:

8 0
2 years ago
Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 75 cents for sell
nikdorinn [45]

Answer:

5075 cents or 50.75

so sorry if it was wrong!

4 0
2 years ago
5. Adam drives his car with an average velocity of 85 km/h eastward. How long will it take him to drive
NISA [10]

Answer:

x = 6.59 hrs = about 6 hours, 35 minutes

Step-by-step explanation:

Adam drives at 85 km / h. Let's set up equivalent fractions to see how long if he drives 560 km.

\frac{85 km}{1  hr} = \frac{560 km}{x hr}

Cross-multiply:

85x = 560

Solve for x:

560/85 = x

<u>x = 6.59 hrs = about 6 hours, 35 minutes</u>

7 0
2 years ago
Other questions:
  • 118 - [121 - (11 × 11) - (-4) - 3 - 9 - 2]​
    12·1 answer
  • If a man is removed from the data set, the correlation decreases only slightly from 0.83 to 0.81. Why do you think the change in
    5·1 answer
  • У<br> (6, 10),<br> (а, 8)<br> (4, b)<br> (2, 2)<br> Х
    12·1 answer
  • What is 3 /8 times 4/7 in simplest form
    12·1 answer
  • Find the perimeter and area of the figure.
    14·1 answer
  • Choose the function whose graph is a parabola.
    14·1 answer
  • Someone please help me with this
    5·1 answer
  • How do I do functions with graphs?
    12·1 answer
  • Evaluate 2× √49/14 trkylzzzzzzzzzzzzzzzzzzzxy
    7·1 answer
  • Is the graphs (both) misleading?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!