The sum of two numbers is 56. One number is 3 times as large as the other. What are the numbers?

larger number

smaller number

Answers

Answer 1
42 and 14

explanation:

x+y = 56
x = 3y

Substitute for x in the first equation:
x + y = 56
x = 3y
3y + y = 56
Combine like terms:
4y = 56
Divide both sides by 4:
y = 14

So if y = 14, and x = 3y, then x = 42.

Now substitute for both x and y in both of the original equations to prove they are the correct values.

x + y = 56
x = 42
y = 4
42 + 14 = 56
56 = 56

x = 3y
x = 42
y = 14
42 = 3*14
42 = 42

So the two numbers, x and y, are 42 and 14.
Answer 2
42 and 14 because 14x3 is 42 and 14+42=56

Related Questions

"Petra is making donuts by stamping circles in dough using a pastry stamp with a radius of 1.5 inches. For the donut hole, she stamps out a circle of dough using a pastry stamp with a radius of 0.5 inches." What is the area of the donut hole? Use 3.14 for . *

Answers

Answer:

6.28

Step-by-step explanation:

[tex](3.14)(1.5) {}^{2} = 7.065 [/tex]

[tex](3.14)(0.5) {}^{2} = 0.785[/tex]

[tex]7.065 - 0.785 = 6.28[/tex]

Please help i need a four letter code in ALL CAPS!

Answers

Answer:

LRIW

Step-by-step explanation:

I hope this is what you were looking for

3 points
Using this set of data: 5,7,7,6, 4, 8, 17,5,7,5, 6 and 5 find the following
items.
7
5
6.5
4
8
2
third quartile
interquartile
range
first quartile
O
Back
Next
Page 2 of 5

Answers

Answer:

Step-by-step explanation:

Portions of three rectangles are shaded as shown. What is the area of the shaded region?
8 ft
10 ft
5 ft
12 ft
4 ft
Area of the Shaded Region:
square feet

Answers

Answer:

4ft

Step-by-step explanation:

Answer: 77ft

Step-by-step explanation:

Find the magnitude of vector v with initial point (7,5) and terminal point (-3,-5).

Answers

Answer:

10√2

Step-by-step explanation:

magnitude of vector v = √Δx² + Δy² = √(-3 - 7)² + (-5 - 5)² = √(-10)² + (-10)²

magnitude of vector v = √200 = 10√2

Please help me ASAP please

Answers

Answer:

The total money you pay is dependentThe time is independent

Step-by-step explanation:

First lets lay out our vocabulary

Dependent is the variable that relies on the other variable

Independent is the variable that can change however it can unlike the dependent

Since you HAVE to know the time to get the money, the time is independent.

The amount of time affects the total money as it goes up

A bag of marbles contains 4 red marbles, 5 yellow marbles, 2 green marbles, and
7 blue marbles. You draw one marble from the bag. Select ALL FALSE statements.

1.) The probability of drawing a red marble is 33%

2.) The probability of drawing a green marble is 1/9.

3.) The probability of drawing a blue marble is twice as much as the probability of
drawing a green marble.

4.) It is more likely to choose a red marble than a green marble.

Answers

Answer:2 and 3

Step-by-step explanation:

They just aren't correct im not sure how to explain

you deposit $1,200 in a bank account. Find the balance after 4 years in the account pays 3.5% annual interest compounded monthly​

Answers

Answer:

The balance after 4 years would be $1,380.05.

Step-by-step explanation:

Given that you deposit $ 1,200 in a bank account, to find the balance after 4 years in the account pays 3.5% annual interest compounded monthly, the following calculation must be performed:

1,200 x (1 + 0.035 / 12) ^ 4x12 = X

1,200 x 1.00291666 ^ 48 = X

1,380.05 = X

Therefore, the balance after 4 years would be $1,380.05.

Answer:

The balance after 4 years in account pays 3.5% annual interest compounded monthly is 1308.05$

Find X and Y, THIS IS DUE VERY SOON, PLEASE HELP!

Answers

Answer:

X is equal to 8, and Y is equal to 35

Step-by-step explanation:

You'll use the Pytagoras theorem to find the values of X and Y.

Mr. Muñoz has a coupon for 15% off his entire purchase. He buys binoculars for $105 and hiking boots. He spends a total of $170 before tax.
solve an equation to find how much the hiking boots cost, X, before tax

Answers

Answer:

[tex]105(.15)+x=170[/tex]

Hope this helps, have an amazing day!

Answer:

144.50 so he got 25.50 Dollars off

Solve the system of equations by graphing

Answers

Answer:

Here's a graph to help you solve this answer:

what is the answer to this?​

Answers

yes yes yes. yes yes yes

1.) Write a quadratic rule that represents the table below in standard form.
- 7
x
у
-6
-5
0
-5
-8
4
-9
-3
-8
-2
-5
-1
0
0
7
1
16
2.
27

Answers

Step-by-step explanation:

1st quadrant is(+,+)

2nd quadrant is(+,-)

3rd quadrant is (-,-)

4th quadrant is (-,+)

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

exponent

Step-by-step explanation:

Answer:

power or exponent it can be both, but being specific here, choose exponent

Step-by-step explanation:

i studied this concept trust me


what is meant by the present value of money?​

Answers

Answer:

Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows.

How to find PV:Calculating present value is called discounting. Discounting cash flows, like our $25,000, simply means that we take inflation and the fact that money can earn interest into account.

...

Calculating Present Value Using the Formula

FV = the future value.

i = interest rate.

t = number of time periods.

Step-by-step explanation:

Answer: Present value, also known as discounted value, is a financial calculation that measures the worth of a future amount of money or stream of payments in today’s dollars adjusted for interest and inflation. In other words, it compares the buying power of one future dollar to purchasing power of one today

Step-by-step explanation:

32 1/2 meters to feet

Answers

Answer:

106.6273

Step-by-step explanation:

Answer:

106.6273 ft

Step-by-step explanation:

help pleaseeeeeee :(

Answers

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

A theater has 36 seats in the first row, 39 seats in the second row, 42 seats in the third row, and so on. How many seats are in the 18th row?
There are
seats in row 18

Answers

Answer: you'll have 87 seats in the 18th row

Step-by-step explanation:

an = a1+(n-1)d

a18= 36+(18-1)3

a18= 36+51

a18= 87

The 18th row will have 87 seats.

What is arithmetic progression?

'An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.'

According to the given problem,

Number of seats in row 1 = 36

Number of seats in row 2 = 39

Number of seats in 3rd row = 42

Difference between the numbers ( d ) = 39 -36

                                                               = 3

We know, according to the formula of Arithmetic Progression,

[tex]a_{n} = a_{1} + (n-1)d[/tex]

We need to find for the 18th row,

[tex]a_{1}[/tex] = 36

d = 3

n = 18

⇒ [tex]a_{18}[/tex] =  36 + ( 18 - 1 )×3

⇒ [tex]a_{18}[/tex] = 36 + 51

⇒  [tex]a_{18}[/tex] = 87

Hence, we can conclude, there will be 87 seats in the 18th row.

Learn more about arithmetic progression here: https://brainly.com/question/13989292

#SPJ2

What is the perimeter of the trapezoid?

Answers

The formula is adding up all the sides like a+b+c+d= perimeter

Answer:

we all know that perimeter is the total distance around us.so the perimeter of a trapezoid is the sum of the lengths of its four sides.if one side is missing use the pythagoras theory.

Step-by-step explanation:

if am wrong please tell me right away

40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.

a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared

Answers

Answer:

a.

Step-by-step explanation:

diameter 7cm

radius 3.5cm

area =πr²

=22/7* 3.5²

=38.47cm²

circumference=πd

=22/7* 7

=22cm

Answer:

a. C = 21.98cm and A = 38.47cm squared

Step-by-step explanation:

Diameter is twice the radius. Therefore radius, r, is 3.5cm.

Circumference = 2πr =2π(3.5)=7π=21.98cm

Area=πr²=π(3.5²)=12.25π=38.47cm²

plz help will give brainiest what is x if it equals y*z*f*r*356 if y=18 z=5 f=7 and r=28 quick help

Answers

Answer:

                                           

Step-by-step explanation:

if x =31 and z=27 then what is the value of y?

Answers

Answer: y = 89

Step-by-step explanation:

[tex]x=\frac{y-z}{2} \\\\31=\frac{y-27}{2}\\\\62=y-27\\\\89=y[/tex]

Triangle PQR with vertices P(-2, 3), Q(2, 4),
and R(1, -1) in the line x = -3.

Answers

9514 1404 393

Answer:

P'(-4, 3)Q'(-8, 4)R'(-7, -1)

Step-by-step explanation:

Reflection over the line x=a is accomplished by the transformation ...

  (x, y) ⇒ (2a -x, y)

For 'a' = -3, this becomes ...

  (x, y) ⇒ (-6 -x, y)

  P(-2, 3) ⇒ P'(-6-(-2), 3) = P'(-4, 3)

  Q(2, 4) ⇒ Q'(-6-2, 4) = Q'(-8, 4)

  R(1, -1) ⇒ R'(-6-1, -1) = R'(-7, -1)

What is the distance between (−5,−6) and (−3,−8)?
Choose 1 answer:

(Choice A)
2
(Choice B)
4
(Choice C)
the square root of 4
(Choice D)
the square root of 8

Answers

It has a slope of -2/2 meaning it goes down and over 2. So the antis A

three times one number minus a second is 8 and the sum of the number is 12

Answers

Answer:

one number is 2

second number if 3 1/3

Step-by-step explanation:

a = one number

b = second number

3a - b = 8

3a + b = 12

add together:

6a = 20

a = 20/6 or 10/3

find 'b':

3(10/3) - b = 8

10 - b = 8

-b = -2

b = 2

What is the value of z for the equation 2 -- +22?
O
-3
O-1
0 1
3

Answers

Answer:-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

pls help me find the missing dimension

Answers

Answer:

4

Step-by-step explanation:

2 times 3 times ?

=4

.....................................

Answers

Answer:

Step-by-step explanation:

The slope of the line is 4/3.

The value of y when x = 0 is -7.

Equation of line:

y = (4/3)x - 7

10.) A book that normally cost $5.50
is marked up by 40%. What is the
selling price of the book?

Answers

Answer:

the answer is seven point seven

In the triangle, ABC, the measure of ∠A is 30° and the measure of ∠C is 90°. What is the measure of ∠B?

Answers

Answer:

60°

Step-by-step explanation:

angle A +angle B +angle C = 180

30° +B+90°= 180

120°+B=180°

B=180°-120°

B=60°

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