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
charle [14.2K]
3 years ago
11

The sum of two numbers s 21. The larger number is 6 less than twice the smaller number. Find the two numbers

Mathematics
2 answers:
xxMikexx [17]3 years ago
7 0
12 and 9 would be the answer
strojnjashka [21]3 years ago
6 0

Let the larger number be 'x' and smaller number be 'y'.

Since, the sum of two numbers is 21.

So, x+y=21 (equation 1)

Since, the larger number is six less than twice the smaller number.

So, x=2y-6 (equation 2)

Substituting the value of 'y' from equation 2 in equation 1.

So, x+y=21

2y-6+y=21

3y = 27

So, y=9.

Since, x+y=21

x = 21-y

x = 21-9

x = 12.

So, the larger number is 12 and smaller number is 9.


You might be interested in
A1,a2,a3....a30-each of these 30 sets has 5 elements.b1,b2,....bn-each of these n sets has 3 elements.union of a1,a2...a30=union
zzz [600]
 the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x.  Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set.  if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times.  This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
5 0
3 years ago
A hose filling a pool discharges water at a rate of 4L per minute. How long in hours does it take to fill a pool with a 300L cap
zimovet [89]

Answer:

no se de que hablas

Step-by-step explanation:

hablas español o no

7 0
3 years ago
Hey uh can anyone help me with this? This is a test and I dont need an explanation since its the last day of the marking period,
Archy [21]

Answer:

Look at explanation.

Step-by-step explanation:

<em><u>Dilation of scale factor of 5, because it would become more wide and open by a factor of 5. Reflection over y-axis, because it makes the shape double the size. Dilation of scale factor of 1/2, because it makes the shape half it's size.</u></em> The rotating 90 degrees would only change the shapes position, not the size. The translation would only move the shape to a different area, and not change the size.

8 0
2 years ago
Read 2 more answers
A circle has a circumference of 452.16 units. What is the radius of the circle?
Elena-2011 [213]

Answer:

72

Step-by-step explanation:

It's 72

7 0
3 years ago
Determine the equation of the line shown in the graph: y = −1 y = 0 x = −1 x = 0
BaLLatris [955]

Answer:

Option C.

Step-by-step explanation:

If a vertical line intersects the x-axis at point (c,0), then the equation of line is x=c.

From the given figure it is clear that it is a vertical line and it intersects the x-axis at (-1,0).  There are infinite values of y at x=-1.

So, the equation of given line is

x=-1

Therefore, the correct option is C.

7 0
3 years ago
Other questions:
  • Help pleaseeeeeeeeee
    6·1 answer
  • Last week Rachel and her roommates ate 1/3 of a carton of yogurt, and this week they ate 2/3 of a carton. How much more yogurt d
    11·2 answers
  • Giving a test to a group of students, the grades and gender are summarized below. if one student was chosen at random, find the
    5·1 answer
  • 45 – 15 – 15 = <br> A. 15. <br> B. 0. <br> C. 1. <br> D. 30
    7·2 answers
  • Please help me I don’t know
    7·1 answer
  • 6(2x-11)+15=21
    15·2 answers
  • Angela wants to know how many families in her neighborhood plan to attend the parade. She puts all 120 of the neighborhood addre
    10·2 answers
  • What is the surface area of the triangular prism?​
    13·1 answer
  • I'm confused, this says the triangle shown below has an area of 50 units2 find the missing side. One side is the length witch is
    7·1 answer
  • 11x - 4 = 20 Solve for x
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!