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
Vitek1552 [10]
3 years ago
14

1.5d+3.25=1+2.25d. What is d?

Mathematics
2 answers:
DochEvi [55]3 years ago
7 0
Simplifying
1.5d + 3.25 = 1 + 2.25d

Reorder the terms:
3.25 + 1.5d = 1 + 2.25d

Solving
3.25 + 1.5d = 1 + 2.25d

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-2.25d' to each side of the equation.
3.25 + 1.5d + -2.25d = 1 + 2.25d + -2.25d

Combine like terms: 1.5d + -2.25d = -0.75d
3.25 + -0.75d = 1 + 2.25d + -2.25d

Combine like terms: 2.25d + -2.25d = 0.00
3.25 + -0.75d = 1 + 0.00
3.25 + -0.75d = 1

Add '-3.25' to each side of the equation.
3.25 + -3.25 + -0.75d = 1 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -0.75d = 1 + -3.25
-0.75d = 1 + -3.25

Combine like terms: 1 + -3.25 = -2.25
-0.75d = -2.25

Divide each side by '-0.75'.
d = 3

Simplifying
d = 3
ivolga24 [154]3 years ago
3 0
First off you need to get all letters on on the left side of the equal sign, you will do this by subtracting 2.25 from the right and that would give you -0.75d+3.25=1 now you will subtract 3.25 from the right side and get -.75d=-2.25. And lastly you divide both sides by -0.75 and that will give you d= 3
You might be interested in
Calculate the simple interest on a loan of $9000 at an interest rate of 8% for 6 years? PLEASE HELP MEEE​
andre [41]

Answer:

4320

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve the equation <br><br> 3(x+2) = 2(2 - x)
RideAnS [48]

Answer:

x=-2/5

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Use the tape diagram to answer the following question: 8 is 40% of what number?
Blababa [14]
20 I apologize if this is wrong
3 0
3 years ago
-17=5s - 7<br> Can you help me?
julsineya [31]

Answer:

S=-2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...
Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is -\frac{1}{4}

Thus, r=-\frac{1}{4}

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is a_{n}=a_{1} \cdot r^{n-1}

To find the fifth term, substitute n=5 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}

To find the sixth term, substitute n=6 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}

To find the sum of the first six terms:

The general formula to find Sn for |r| is S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}

\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}

Thus, the sum of first six terms is 38.39

5 0
3 years ago
Other questions:
  • It costs $6 per pound for peanuts at Blessed Food Market. Which of the following represents the range of the function in terms o
    11·1 answer
  • My equasion is -0.84 divided by -2.8 how do i divide that?
    9·2 answers
  • Harvard University accepts 6 students for every 100 applicants. How many students will be accepted if 850 applicants apply for a
    7·2 answers
  • The product of two consecutive even integers is 14 more than their sum. Find the integers
    15·1 answer
  • 11.
    6·1 answer
  • Write 0.088 as a fraction in simplest form.
    7·1 answer
  • .
    9·1 answer
  • I need help with this
    6·1 answer
  • Given the function f(x) = x2 and k = -3, which of the following represents a vertical shift?
    15·1 answer
  • (04.05 MC)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!