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

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]

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

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

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:

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 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:

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$

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

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

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 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

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°

Solve the system of equations by graphing

Answers

Answer:

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

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 the answer to this?​

Answers

yes yes yes. yes yes yes

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:

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

32 1/2 meters to feet

Answers

Answer:

106.6273

Step-by-step explanation:

Answer:

106.6273 ft

Step-by-step explanation:

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

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:

pls help me find the missing dimension

Answers

Answer:

4

Step-by-step explanation:

2 times 3 times ?

=4

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.

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

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 (-,+)

"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]

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


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:

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

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

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

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

Other Questions
Mhanifa can you please help this is due asap! Respond to all of the questions within the topic (see that there are six questions below). 1. Explain how you can determine if the parabola opens up or down by simply examining the equation. 2. Give an example of a quadratic function with the given characteristics: its graph lies below the x-axis. 3. Explain how the number of solutions for a quadratic equation relates to the graph of the function. 4. Explain how you solve an equation by factoring. 5. In order to solve a quadratic equation by completing the square, what does the coefficient of the squared term need to be? If the coefficient is not equal to this, what does your first step need to be to complete the sqaure? 6. Explain how the discriminant can be used to determine the number of solutions a quadratic equation has. what kind of cells have haploid chromosomes? What is the job duties of a Field Evidence Technician? please help asap! Which graph represents the function? determine the radius of a circle whose circumfrence is 16.52cm Help? which one should I pick Please answer the following questions: No downloadable links or files. I will mark brainliest for those who answer the questions correctly. THXWhat happens to macromolecules from food during digestion?What atoms make up sugar molecules, amino acids, and fatty acids?What do you notice about the atoms that make up these molecules?How are these atoms used to make new molecules? What types of molecules aremade? What's the value of[tex] \sqrt{2 \times 2 \times 5 \times 5} [/tex] A teepee is in the shape of a cone. The teepee is 12.5 feet high, 16 feet wide. Find the volume of air that occupies the teepee, assuming it is empty. The diagram shows the spot on a basketball court called the "key". what is the area of the key? Use 3.14 for pi Compare and contrast the outer core and the inner core. Mention 2 differences between the two cores. (A bot was the only one answering my last one so I'm putting it again. I really need the answer please!) HELP PLEASE!One similarity between opportunity costs and monetary costs is that both __________.A. never involve moneyB. always involve moneyC. always involve giving up somethingD. always involve beneficial consequences Which states and territories had land that was acquired from Mexico in 1848? Can someone please help me with this. Which of the following energy producing methods can sometimes lead to riverbed erosion?A. Solarb. windc. hydroelectricd. geothermal In the summer time your friend wants to have a snow cone stand at a local grocery store parking lot. You want to make sure he actually makes money. The grocery store charges $300 per month. All products are calculated to be 25 cents per customer. Your plans are to sell each cone for $1.25.a. Write a mathematical expression representing the cost of operation for a month.b. Write a mathematical expression representing sales.c. Create an equation that will represent overall profit of the operation for a month.d. Simplify the equation into slope intercept form and standard form. What is the slope and explain its meaning in the context of selling snow cones? What is the intercept and what is its meaning?e. Describe the method of graphing the slope intercept form and also the standard form of the equation.f. What is the domain and range of the equation? Is the relation a function, why?g. How many snow cones do you need to sell to break even in the first month?h. How much is the profit if you sell 425, 550 or 700 snow cones in the first month of business? PLS HELP... 10 POINTS ASAPCoach Jackson has a ratio of 1 girls to 3 boys in his classroom. If there are 6 girls in his class, what is the total number of students in Coach Jackson's class? a. 18 b. 24 c. 12 d. 2 Write a paragraph. Nelson Mandela stated, "When those in power deny you of freedom the only path to freedom is power. Write a paragraph in support of this quote using evidence from the text to support your reasoning. Increased global temperature may lead to more forest fires, longer droughts, and loss of habitat. How will this effect many species? *