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
aleksandr82 [10.1K]
3 years ago
9

PLEASE HELP ME

Mathematics
1 answer:
ElenaW [278]3 years ago
6 0

Answer:

Step-by-step explanation: One number is four more than the other."   is represented as 'x'

"One number is four more than the other."  is represented as 'x+4'

"Their sum is fourteen."  is represented as 'x+(x+4)=14'

"Find both numbers."

x+(x+4)=14

x+x+4=14  (add like terms)

2x+4=14 (isolate your 'x' variable on one side of the equality by subtracting 4 from both sides)

2x+4-4=14-4

2x=10 (isolate your 'x' variable by dividing by 2 from both sides)

2x/2=10/2

x=5  (this is the answer to one number)

x+4=5+4=9 (plug in 5 for 'x' and this is the answer to four more than another)

Your two numbers are 5 and 9.

You might be interested in
Draw graphs of the following lines: The line through the origin having a slope of 1/4
KengaRu [80]
I think its 1 on the graph correct me if im wrong
4 0
3 years ago
Help help help help help
Naily [24]
The answer is x = 6

hope this helps
7 0
3 years ago
(-4,r) (-8,3) m=5 Find r please!
viva [34]

Answer:

r = 23

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

5 = (3 - r)/(-8 - (-4))

5 = (3 - r)/(-8 + 4)

3 - r = 5 × -4

3 - r = -20

-r = -23

r = 23

4 0
3 years ago
For the given term, find the binomial raised to the power, whose expansion it came from: 15(5)^2 (-1/2 x) ^4
Elina [12.6K]

Answer:

<em>C.</em> (5-\frac{1}{2})^6

Step-by-step explanation:

Given

15(5)^2(-\frac{1}{2})^4

Required

Determine which binomial expansion it came from

The first step is to add the powers of he expression in brackets;

Sum = 2 + 4

Sum = 6

Each term of a binomial expansion are always of the form:

(a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......

Where n = the sum above

n = 6

Compare 15(5)^2(-\frac{1}{2})^4 to the above general form of binomial expansion

(a+b)^n = ......+15(5)^2(-\frac{1}{2})^4+.......

Substitute 6 for n

(a+b)^6 = ......+15(5)^2(-\frac{1}{2})^4+.......

[Next is to solve for a and b]

<em>From the above expression, the power of (5) is 2</em>

<em>Express 2 as 6 - 4</em>

(a+b)^6 = ......+15(5)^{6-4}(-\frac{1}{2})^4+.......

By direct comparison of

(a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......

and

(a+b)^6 = ......+15(5)^{6-4}(-\frac{1}{2})^4+.......

We have;

^nC_ra^{n-r}b^r= 15(5)^{6-4}(-\frac{1}{2})^4

Further comparison gives

^nC_r = 15

a^{n-r} =(5)^{6-4}

b^r= (-\frac{1}{2})^4

[Solving for a]

By direct comparison of a^{n-r} =(5)^{6-4}

a = 5

n = 6

r = 4

[Solving for b]

By direct comparison of b^r= (-\frac{1}{2})^4

r = 4

b = \frac{-1}{2}

Substitute values for a, b, n and r in

(a+b)^n = ......+ ^nC_ra^{n-r}b^r+.......

(5+\frac{-1}{2})^6 = ......+ ^6C_4(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ ^6C_4(5)^{6-4}(\frac{-1}{2})^4+.......

Solve for ^6C_4

(5-\frac{1}{2})^6 = ......+ \frac{6!}{(6-4)!4!)}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ \frac{6!}{2!!4!}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ \frac{6*5*4!}{2*1*!4!}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ \frac{6*5}{2*1}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+ \frac{30}{2}*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+15*(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+15(5)^{6-4}(\frac{-1}{2})^4+.......

(5-\frac{1}{2})^6 = ......+15(5)^2(\frac{-1}{2})^4+.......

<em>Check the list of options for the expression on the left hand side</em>

<em>The correct answer is </em>(5-\frac{1}{2})^6<em />

3 0
3 years ago
Chantelle has 23 cookies. She gives 3 3/6 to her friend Emily how many does she have now
malfutka [58]
3 3/6 is the same as 3 1/2, so 23 take 3 is 20. 20 take 1/2 is 19 1/2.
3 0
3 years ago
Other questions:
  • Can someone help me x-7=2x-6
    5·2 answers
  • The amount a string stretches varies linearly with the mass applied to the spring, as can be seen in the video. In the video, wi
    10·1 answer
  • The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches. Which of the following expressions
    14·2 answers
  • How to find the quotient for 10/5
    6·1 answer
  • Find the area of the figure.<br><br> Whoever answers within an hour get brainliest
    15·1 answer
  • Find the volume, in cubic inches, of a right rectangular prism with the measurements below.
    12·1 answer
  • The diagram shows a sector of a circle radius 11 cm.
    9·1 answer
  • Help me please!!!!!!!
    10·1 answer
  • Represent the following sentence as an algebraic expression, where "a number" is the letter x.
    6·2 answers
  • Bill went on a very long run, so he ran kind of slowly. He ran 2 miles in 30 minutes. How many miles would he run in three hours
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!