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
Tom [10]
3 years ago
11

The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?

Mathematics
2 answers:
PolarNik [594]3 years ago
4 0

Answer:

31

Step-by-step explanation:

Let the numbers be x and y.

"The sum of two numbers is 43." gives us the first equation.

x + y = 43

"One number is five less than three times the other number." gives us the second equation.

y = 3x - 5

Now we solve the system of two equations below.

x + y = 43

y = 3x - 5

Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.

x + y = 43

x + 3x - 5 = 43

4x - 5 = 43

4x = 48

x = 12

The first number is 12. Now we find the second number.

x + y = 43

12 + y = 43

y = 31

The larger number is 31.

Fiesta28 [93]3 years ago
3 0

Answer:

31 is greater

Step-by-step explanation:

I will solve your system by substitution.

x=3y−5;43=x+y

Step: Solve x=3y−5 for x:

Step: Substitute 3y−5for x in 43=x+y:

43=x+y

43=3y−5+y

43=4y−5 (Simplify both sides of the equation)

43+−4y=4y−5+−4y (Add -4y to both sides)

−4y+43=−5

−4y+43+−43=−5+−43 (Add -43 to both sides)

−4y=−48

(Divide both sides by -4)

y=12

Step: Substitute12foryinx=3y−5:

x=3y−5

x=(3)(12)−5

x=31(Simplify both sides of the equation)

Answer:

x=31 and y=12

31 is greater than 12

You might be interested in
Tracy needs to find the length & width of the equipment storage room where she works. The room is 4 meters longer than it is
AveGali [126]

Answer:

length = 8m

width = 4m

Step-by-step explanation:

The perimeter of a rectangle is the formula: P = 2w + 2l, where 'w' is equal to the width and 'l' is equal to the length.  In this case, the width can be expressed as 'w' and the length, which is '4 meters longer than its width' would be 'w +4'.  So, when you put these expressions into the equation:

P = 2w + 2(w +4)

P = 2w + 2w + 8 or 4w + 8

Since perimeter = 24m, plug it in and solve for 'w':

24 = 4w + 8

Subtract 8 from both sides:  24 - 8 = 4w + 8 - 8 or 16 = 4w

Solve for w:  w = 4m

Solve for l:  l = w + 4 or 4+4, so l = 8m

7 0
3 years ago
Round 34.4567 to the nearest cent
MariettaO [177]
Because 34.4567 is closer to 34.46 than to 34.45, so the answer is 34.46.
3 0
3 years ago
What is the value of sinT? Round to four decimal places if needed.
Lubov Fominskaja [6]

Answer: D

Step-by-step explanation:

sinT = Opposite/Hypotenuse

= 13/85

= 0.1529

4 0
3 years ago
Help please. I need this done asap and I don’t understand!
nydimaria [60]

Answer:

Conclusion:

  • The value of x = 12.5
  • The value of y = 3.2
  • The value of z = 6

Step-by-step explanation:

Given

Two similar quadrilaterals

To determine

x, y, and z

Given that the two quadrilaterals are similar,

so their corresponding ratios will be:

x/10 = 5/4

x = 5/4 × 10

x = 50/4

x = 25/2

x = 12.5

Thus, the value of x = 12.5

To determine the value of y, the corresponding ratio such as

y/4 = 8/10

y =  8/10 × 4

y = 32/10

y = 16/5

y = 3.2

Thus, the value of y = 3.2

To determine the value of z, the corresponding ratio such as

z/5 = 15/x

as x = 12.5, so substitute x = 12.5

z/5 = 15/12.5

z = 15/12.5 × 5

z = 75/12.5

z = 6

Therefore, the value of z = 6

Conclusion:

  • The value of x = 12.5
  • The value of y = 3.2
  • The value of z = 6
4 0
2 years ago
PLEASE BELP ASAP <br> Find the area of the shape <br> below.<br> 9 cm<br> 11 cm<br> 6 cm<br> 15 cm
guapka [62]

Answer:

105 cm squared

Step-by-step explanation:

15×6 to get the rectangle =90

then we have a triangle left so you do 15- 9 for the base =6 and multiply that by hight (6×5=30) and since it's a triangle and not a square we have to divide that answer by 2 and we get 15. Add those together, we get 105. Hope that helped!

3 0
3 years ago
Other questions:
  • 34. A MasterCard statement shows a balance of $510 at 13.9% compounded monthly. What monthly payment will pay off this debt in 1
    10·1 answer
  • HELP PLEASE!
    7·1 answer
  • Round each number to the nearest tenth of a million
    8·2 answers
  • There are 60 girls and 45 boys who want to participate in a co-ed basketball tournament. if each team must have the same number
    14·1 answer
  • I need help ASAP please.
    8·1 answer
  • What is the ratio of x to y?<br> 2 x<br> ---- = --------<br> 3 3x+y
    8·2 answers
  • Suppose that, in some distant part of the universe, there is a star with four orbiting planets . One planet makes a trip around
    11·1 answer
  • Which set of points contains the solutions to the equation y = –4⁄3x – 7⁄3?
    7·1 answer
  • Nevaeh invested $1,200 in an account paying an interest rate of 2⅞ % compounded quarterly. Paisley invested $1,200 in an account
    11·2 answers
  • Can you solve this?<br> Solve this with a EXPLANATION to get a Brainliest! <br> Good luck! :D
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!