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
liq [111]
2 years ago
8

Evaluate 1/4 c + 3d when c = 6 and d = 7

Mathematics
2 answers:
Naddika [18.5K]2 years ago
8 0

           \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

       <em>Evaluate 1/4c+3d when c=6, and d=7.</em>

<em />

<em>         </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

       Replace c with 6, and d with 7:-

     \Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}

\bigstar On simplification,

   \Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}

\bigstar On further simplification,

    \Large\text{$\displaystyle\frac{6}{4} +21$}

\bigstar On further simplification,

     \Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}

\bigstar Adding the numerators,

\Large\text{$\displaystyle\frac{90}{4}$}

\bigstar Finally, Reducing the fraction:-

\Large\text{$\displaystyle\frac{45}{2}$}

\Uparrow \mathbb{OUR\:SIMPLIFIED\:EXPRESSION}

<h3>Good luck with your studies.</h3>

         \rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}

natulia [17]2 years ago
4 0

Answer:

SolutioN :

  • Just plug in the values of c & d in the given expression and calculate :

\longrightarrow \bf \:  \frac{1}{4}  \times 6 + 3 \times 7

\longrightarrow  \boxed{\bf{ \frac{45}{2} }}

  • Our final answer is 45/2 .

--------------HappY LearninG <3 -------

You might be interested in
A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like. The teache
dlinn [17]

Answer: c. box and whisker plot

Step-by-step explanation:

the box and whisker plot shows you the median and lays out the data so you would know how spread how your numbers are

6 0
3 years ago
Ginny wants to compare the miles per gallon of 2 different cars. The cars mileage can be described as below. Find the miles per
solong [7]

Answer:

Car A gets 19 miles per gallon while Car B gets ~17.8 miles per gallon. Car A gets better mileage.

Step-by-step explanation:

3 0
2 years ago
Write a quadratic function in standard form having zeros of -9 and -12
tia_tia [17]
(x + 9)(x + 12) = 0
Expanding the brackets, we get:
x^{2}+21x+108=0
3 0
3 years ago
What is the value of x in the diagram? A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured
Lunna [17]
If you visualize the problem, there are two concentric circles, the pool, and the pool plus the walkway. So, we have to subtract the area of these two concentric circles to find the walkway.

Bigger circle: Pool plus walkway
----------------------------------
diameter = 18 + 4(2)   -- this is because there is 2 ft of walkway at each far end
diameter = 26 ft
Area = pi*(26/2)^2
Area = 530.93 ft2

Smaller circle:pool
---------------------
diameter = 18 ft
Area = pi*(8/2)^2
Area = 50.27 ft2

Area of walkway
----------------
A = 530.93 - 50.27
A = 480.66 ft2

Then the cost would be
Cost = $4.25 * 480.66
Cost = $2,042.81
8 0
3 years ago
Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a
salantis [7]

Answer:

A = 640000\,yd^{2}

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

A (x,y) = x\cdot y

3200\,yd = 2\cdot (x+y)

After some algebraic manipulation, area expression can be reduce to an one-variable form:

y = 1600 -x

A (x) = x\cdot (1600-x)

The first derivative of the previous equation is:

\frac{dA}{dx}= 1600-2\cdot x

Let the expression be equalized to zero:

1600-2\cdot x=0

x = 800

The second derivative is:

\frac{d^{2}A}{dx^{2}} = -2

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

y = 800

The maximum area is:

A = (800\,yd)\cdot (800\,yd)

A = 640000\,yd^{2}

8 0
3 years ago
Read 2 more answers
Other questions:
  • A zebra ran at a speed of 20 feet per second. Which operation should you use to find the distance the zebra ran in 10 seconds?
    6·2 answers
  • Help me please! problem is attached
    13·2 answers
  • Lynn has 10 more pencils than Carol. Let p represent the number of pencils Carol has. Which expression shows how many pencils Ly
    15·2 answers
  • The sum of two consecutive odd integers is 284. Write an equation and solve to find the two integers.
    12·1 answer
  • X - 3 over 4 = 7 how much does x equal
    8·1 answer
  • What is the rule for the reflection ?
    10·1 answer
  • It was estimated that 800 people would attend the play, but 752 actually attended. what is the percent error?
    10·1 answer
  • In the triangle below.
    11·1 answer
  • Hi i want to ask you something Emma wrote thirty-six thousand,forty-two as 3,642.Explain what she did wrong.Then write the numbe
    9·2 answers
  • Write an equation of the line that passes through the given point and has the given slope.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!