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
zalisa [80]
2 years ago
7

The sum of half of a number and 49is 2 whole 1/4 of the number. find the number

Mathematics
2 answers:
Mrac [35]2 years ago
6 0

Answer:

-93.5

Step-by-step explanation:

let the number be y

1/2 × y + 49 =2 1/4

y/2 +49 =9/4

y/2 =9/4-49

y/2 = 9-196/4

y/2 = -187/4

cross multiply

4y = -374

y = -93.5

GaryK [48]2 years ago
3 0

Answer:

  • 28

Step-by-step explanation:

<u>Let the number is x</u>

  • Half of a number = (1/2) x
  • 2 whole 1/4 of the number = (2 1/4) x = (9/4) x

<u>The sum:</u>

  • (1/2) x + 49 = (9/4) x
  • (9/4)x - (1/2)x = 49
  • (9/4 - 1/2)x = 49
  • (7/4)x = 49
  • x = 49 : 7/4
  • x = 49 * 4/7
  • x = 7 * 4
  • x = 28
You might be interested in
The length of a rectangle is 2 foot less than 3 times its width. Find the the dimensions of this rectangle if the area is 96 squ
Xelga [282]
For example,area = a, length = l, width = w
First we write two equations. The easier equation is the area equation, which we know to be
a = l x w
So that the first equation is : 
<span>96 = l x w </span>

we make the second equation of the following statements :
<em>The length of a rectangle is 2 foot less than 3 times its width.</em>
<span>so it becomes :
l = 3w - 2
</span>
<span>To solve, we can use the substitution method. 
</span>
96 = l \times w\\96=(3w-2) \times w\\96=3w^{2}-2w\\3w^{2}-2w-96=0~~~~~~[now\ factor\ the\ equation]\\ (3w+16)(w-6)=0

3w+16=0\\3w=-16\\w= -\frac{16}{3}~~~~\Rightarrow~~~answer\ doesnt\ make\ sense\ , negative\ width.&#10;

w-6=0\\\boxed{w=6~~~~~~~\Rightarrow~~~~positive\ answer\ for\ width\ makes\ sense }&#10;

<span><em>So if our width is 6, Now substitute the value of w = 6 into equation 2 </em></span>

l=3w-2\\l=3(6)-2\\l=18-2\\l=16

So "w" = 6 and "l" = 16, and if we multiply them together, we get the correct area, 96. So our dimensions are 6 by 16.
6 0
2 years ago
Graphing Trigonometric Functions
Alina [70]

Answer:

hard, search on internet as I don't know this

8 0
3 years ago
WILL MARK BRAINLIEST HELP ASAP!!!
vovikov84 [41]

Answer:

Uhm thats physically impossible

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵
mixer [17]

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

3 0
3 years ago
Read 2 more answers
The crab nebula is a cloud of gas and dust particles in space that is expanding at a rate of 930 miles per second. What is its r
Flauer [41]
There are 3,600 seconds in one hour so if it expands at rate of 930 miles per second then 930 * 3600= 3,348,000 miles per hour
7 0
2 years ago
Other questions:
  • Would anyone know the correct answers to these three math questions?
    10·1 answer
  • If u help u get 50 points
    13·2 answers
  • How much more gasoline will it take to fill the tank?
    11·1 answer
  • Sophie drove 162 miles in 3 hours. on average, how fast did she drive in hours per mile
    15·1 answer
  • The perfect square game is played as follows: player 1 says a positive integer, then
    8·1 answer
  • Yeah yeab yeab yeah eyahe eheehbdhdnnnnnnnnnnnn
    9·2 answers
  • Identify the slope (m) for y=−7x.
    7·1 answer
  • Hello please help thanks
    15·2 answers
  • A car renting agency charges a fixed rate of $8 per day plus 8 cents per mile. If a family paid the agency $260 for the use of a
    13·2 answers
  • I'm to lazy to do this-
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!