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
katrin2010 [14]
3 years ago
6

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times t

he first. What are the numbers?
Which three expressions could be used to represent the numbers?

Mathematics
2 answers:
alexdok [17]3 years ago
3 0
Let the three numbers be x, y and z respectively, then
x + y + z = 62 . . . (1)
y = x - 4 . . . (2)
z = 4x . . . (3)

The above three expressions could be used to represent the numbers.

Solving the three equations, putting (2) and (3) into (1) gives
x + x - 4 + 4x = 62
6x - 4 = 62
6x = 62 + 4 = 66
x = 66/6 = 11
x = 11.
y = 11 - 4 = 7
z = 4(11) = 44

x = 11, y = 7, z = 44.
blsea [12.9K]3 years ago
3 0
I hope this helps you

You might be interested in
Rick is on a bicycle trip. Every 444 days he bikes 230 \text{ km}230 km230, space, k, m.If Rick keeps this same pace for 161616
Katarina [22]
For this problem, we use the approach of ratio and proportion. Assuming that the given ratio of 444 days per 230 km is constant all throughout, we can determine the number of days or distance as long as one of the two is given. In this case, the solution is as follows:

444 days/230 km = 161616 days/distance
Distance = 83,720 km
4 0
3 years ago
Solving the Simplified Equation
Artist 52 [7]

Answer:

- 1.5

Step-by-step explanation:

put two x variables in one place and two numbers in one place

28x- 22x = 56-65

6x = -9

x=-1.5

6 0
3 years ago
Isaak is writing an explicit formula to represent the sequence.
gulaghasi [49]
In a geometric progression:
a, b, c, d...
The common ratio can be obtained using:
b/a = c/b = d/c
b/a = 112 / 64 = 1.75
c/b = 196 / 112 = 1.75
d/c = 343 / 196 = 1.75
The common ratio = 1.75
7 0
3 years ago
Read 2 more answers
The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
4 years ago
Read 2 more answers
A club collected $3,472 to buy computers. If each computer cost $680, estimate the number of computers that the club can buy.exp
almond37 [142]

The club can buy 5 computers with $3472

Step-by-step explanation:

The number of computers which can be bought from the given amount will be calculated by dividing the amount by price of one computer.

Given

Total amount = $3472

Price of one computer =$680

The number of computers will be:

=\frac{Total\ amount}{Price\ per\ computer}\\=\frac{3472}{680}\\=5.1\\

As the number of an item cannot be in decimal it will be rounded off to 5.

The club can buy 5 computers with $3472

Keywords: Price per unit, pricing

Learn more about pricing at:

  • brainly.com/question/7287774
  • brainly.com/question/726990

#LearnwithBrainly

8 0
3 years ago
Other questions:
  • Which rule can you use to convert a mass in centigrams to a mass in milligrams?
    6·1 answer
  • 12m/15m simplify this fraction
    11·1 answer
  • Help how do I solve this
    15·1 answer
  • What is the answer to -9(k + 9) - 8
    8·2 answers
  • Please answer please please
    8·1 answer
  • So I have a math problem and I was wondering What x-0.15x is
    14·1 answer
  • Element X decays radioactively with a half life of 6 minutes. If there are 790 grams of Element X, how long, to the nearest tent
    12·1 answer
  • PLS NEED HELP!!!!!!!!!!!
    11·2 answers
  • HElLoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOo
    11·1 answer
  • 1. Which situation describes the use of a debit card?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!