When 142 is added to a number, the result is 64 more than 3 times the number. Find the number.

When 142 is added to a number, the result is 64 more than 3 times the number. Find the number.

Question
Equations and inequalities
asked 2020-11-01
When 142 is added to a number, the result is 64 more than 3 times the number. Find the number.

Answers (1)

2020-11-02
Let x be the number.
Adding 142 to the number gives x+142.
3 times the number is 3x so 64 more than 3 times the number is 3x+64.
If these two values are equal, then:
x+142=3x+64
x+142−x=3x+64−x
142=2x+64
142−64=2x+64−64
\(\displaystyle{\frac{{{78}}}{{{2}}}}={\frac{{{2}{x}}}{{{2}}}}\)
39=x
The number is then 39
0

Relevant Questions

asked 2021-02-25
We will now add support for register-memory ALU operations to the classic five-stage RISC pipeline. To offset this increase in complexity, all memory addressing will be restricted to register indirect (i.e., all addresses are simply a value held in a register; no offset or displacement may be added to the register value). For example, the register-memory instruction add x4, x5, (x1) means add the contents of register x5 to the contents of the memory location with address equal to the value in register x1 and put the sum in register x4. Register-register ALU operations are unchanged. The following items apply to the integer RISC pipeline:
a. List a rearranged order of the five traditional stages of the RISC pipeline that will support register-memory operations implemented exclusively by register indirect addressing.
b. Describe what new forwarding paths are needed for the rearranged pipeline by stating the source, destination, and information transferred on each needed new path.
c. For the reordered stages of the RISC pipeline, what new data hazards are created by this addressing mode? Give an instruction sequence illustrating each new hazard.
d. List all of the ways that the RISC pipeline with register-memory ALU operations can have a different instruction count for a given program than the original RISC pipeline. Give a pair of specific instruction sequences, one for the original pipeline and one for the rearranged pipeline, to illustrate each way.
Hint for (d): Give a pair of instruction sequences where the RISC pipeline has “more” instructions than the reg-mem architecture. Also give a pair of instruction sequences where the RISC pipeline has “fewer” instructions than the reg-mem architecture.
asked 2021-03-24
The figure shows 3 crates being pushed over a concrete floor by a horizontal force f of magnitude 440N. The masses of the cratesare \(\displaystyle{m}_{{1}}={30}\) kg, \(\displaystyle{m}_{{2}}={10}\) kg, and \(\displaystyle{m}_{{3}}={20}\) kg.The coefficient of kineticfriction between the floor and each of the crates is 0.7. a) what is the magnitude \(\displaystyle{F}_{{{32}}}\) of the force on crate 3 from crate 2? b) If the crates then slide onto a polished floor, where the coefficientof kinetic friction is less than 0.700, is magnitude PSKF_{32}ZSL more than,less than, or the same as it was when the coeffient was 0.700?
asked 2021-05-12
4.7 A multiprocessor with eight processors has 20attached tape drives. There is a large number of jobs submitted tothe system that each require a maximum of four tape drives tocomplete execution. Assume that each job starts running with onlythree tape drives for a long period before requiring the fourthtape drive for a short period toward the end of its operation. Alsoassume an endless supply of such jobs.
a) Assume the scheduler in the OS will not start a job unlessthere are four tape drives available. When a job is started, fourdrives are assigned immediately and are not released until the jobfinishes. What is the maximum number of jobs that can be inprogress at once? What is the maximum and minimum number of tapedrives that may be left idle as a result of this policy?
b) Suggest an alternative policy to improve tape driveutilization and at the same time avoid system deadlock. What is themaximum number of jobs that can be in progress at once? What arethe bounds on the number of idling tape drives?
asked 2021-01-22
If eleven is added to the square of a number, the result is sixty, Find all such numbers.
asked 2021-01-15
if a number is added three times to twice the reciprocal of the number.The answer is 5 .find the number
asked 2021-03-26
A cylinder with a movable piston records a volume of 12.6L when 3.0 mol of oxygen is added. The gas in the cylinder has a pressure of 5.83 atm. The cylinder develops a leak and the volume of gas is now recorded to be 12.1 L at the same pressure. How many moles of oxygen are lost?
asked 2020-12-22
I'm thinking of a number. I multiplied it by 8 then subtracted 5, divided by 7, added the result to itself, increased that number by 80% then multiplied by 2/3. The result was 12. What number was I thinking of?
asked 2021-02-04
Five more than eight times a number is the same as twenty-one less than a number.
asked 2021-03-23
Five distinct numbers are randomly distributed to players numbered 1 through 5. Whenever two players compare their numbers, the one with the higher one is declared the winner. Initially, players 1 and 2 compare their numbers; the winner then compares with player 3, and so on. Let X denoted the number of times player 1 is a winner. Find P{X = i}, i = 0,1,2,3,4.
asked 2021-04-24
Alice, Bernice, and Cheryl shared some stamps in the ratio 8:9:18. Alice received 184 stamps. Find the number of stamps that Bernice and Chery each received.
...