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
Troyanec [42]
2 years ago
8

What is the value of x if 2x - 7 = 103 x=__________

Mathematics
2 answers:
tatiyna2 years ago
6 0

Answer:

x = 55

Step-by-step explanation:

2x-7 = 103

+7 +7

2x/2 = 110/2

-> x =55

Greeley [361]2 years ago
5 0

Answer:

x=55

Step-by-step explanation:

2x-7=103

2x=103+7

2x=110

x=55

You might be interested in
GEOMETRY. Identify the angles that each have a measure of 117º
sergiy2304 [10]

Answer:

It should be 4, 6, and 8

Step-by-step explanation:

Hope This Helped

6 0
3 years ago
Solve the matrix equation for a, b, c, and d. [1 2] [a b] [6 5][3 4] [c d]= [19 8]
Anit [1.1K]

Answer:

The answer is "\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}".

Step-by-step explanation:

\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}

Solve the L.H.S part:

\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]

After calculating the L.H.S part compare the value with R.H.S:

\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\

\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\

In equation (i) multiply by 3 and subtract by equation (iii):

\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to  c= - \frac{1}{2}

put the value of c in equation (i):

\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\

In equation (ii) multiply by 3 then subtract by equation (iv):

\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\

put the value of d in equation (iv):

\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2

The final answer is "\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}".

4 0
3 years ago
There is a small pond which is 8 metres long, 4 metres wide and 2 metres deep. What is the volume of the pond?
Rama09 [41]
8 x 4 x 2 = 64
Therefore the volume of the pond is equal to 64m³
5 0
3 years ago
Read 2 more answers
A teacher has a bag of 100 unit cubes.She gives an equal number of cubes to each of the 7 groups in her class.She gives each gro
Arlecino [84]
100 divided by 7 is 14 r 2, so there are 2 left over
3 0
3 years ago
Read 2 more answers
Write the series using summation notation. Then find the sum of the series.
ivolga24 [154]

Hello, please consider the following.

\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78

For the second we will need to put on the same denominator.

\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...

Thank you.

3 0
3 years ago
Other questions:
  • A sunflower grew 4 inches during the first week after it was planted. Then it grew an additional 4 feet over the next month.
    10·1 answer
  • How to solve trial and error method i) y + 6 = 11
    6·1 answer
  • 2. Is the mean of the age distribution closer to 15, 20, or 25 years? Explain your answer.
    5·1 answer
  • Help help help !!!! Me please
    9·2 answers
  • What is the percentage of 16 cm 12 cm <br> rectangle
    7·2 answers
  • The weight of an object on Mars is about 2/5 its weight on Earth. How much would an 80 1/2 pound dog weight on Mars?
    6·1 answer
  • Help me you dont have to do all of them but if you do pls i will give you the brainiest
    11·1 answer
  • What is the measure of C?<br> O A. 60°<br> O B. Cannot be determined<br> Oc.<br> C. 30°<br> O D. 90°
    10·2 answers
  • Given the function defined in the table below, find the average rate of change, in
    8·1 answer
  • Which choice represents the simplified exponential expression? (9^7)^4
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!