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
garri49 [273]
3 years ago
8

The sum of three numbers is 7. One of the numbers is one more than the sum of the other two numbers. It is also four times the d

ifference between the two numbers.
Mathematics
2 answers:
alexira [117]3 years ago
7 0
a,\ b;\ c-the\ numbers\\\\\begin{array}{ccc}(1)\\(2)\\(3)\end{array} \left\{\begin{array}{ccc}a+b+c=7\\a-1=b+c\\a=4(b-c)\end{array}\right\\subtitute\ (3)\ to\ (2)\ and\ (1)\\  \left\{\begin{array}{ccc}4(b-c)+b+c=7\\4(b-c)-1=b+c\end{array}\right\\ \left\{\begin{array}{ccc}4b-4c+b+c=7\\4b-4c-1=b+c&|subtract\ from\ both\ sides\ "b"\ and\ "c"\&\ add \ 1\end{array}\right\\\left\{\begin{array}{ccc}5b-3c=7&|\multiply\ both\ sides\ by\ 3\\3b-5c=1&|both\ sides\ by\ (-5)\end{array}\right
\underline{+\left\{\begin{array}{ccc}15b-9c=21\\-15b+25c=-5\end{array}\right}\\.\ \ \ \ \ 16c=16\ \ \ |divide\ both\ sides\ by\ 16\\.\ \ \ \ \boxed{c=1}\\\\Subtitute\ the\ value\ of\ c=1\ to\ 3b-5c=1\\\\3b-5\cdot1=1\\3b-5=1\ \ \ |add\ 5\ to\ both\ sides\\3b=6\ \ \ |divide\ both\ sides\ by\ 3\\\boxed{b=2}\\\\Subtitute\ the\ values\ of\ c=1\ and\ b=2\ to\ the\ a+b+c+=7\\\\a+2+1=7\\a+3=7\ \ \ |subtract\ 3\ from\ both\ sides\\\boxed{a=4}\\\\Answer:\boxed{4;\ 2;\ 1}
Sedaia [141]3 years ago
5 0
The only numbers I could think of would be 1, 2, and 4 because 4 is greater than 3 (2+1) and four times greater than 1 (2-1)
You might be interested in
Juanita says that 3.5[4d - (2) (1.5)] and 2[7d - (5)(1.05)] are equivalent. Is Juanita correct? Explain your reasoning.
valkas [14]

Answer:

Yes

Step-by-step explanation:

3.5 [4d - 2*1.5] = 3.5*4d - 3.5*2*1.5

                        = 14d - 10.5

2*[7d - 5*1.05] = 2*7d - 2*5*1.05

                       = 14d -  10.5

When we are simplifying both the expression using distributive property, we get the same expression at the end.

8 0
3 years ago
A snail can move 1/30 miles in 1/3 hour. How fast does a snail move in miles /hours
bekas [8.4K]

Answer:             1/10 miles/hour

To find how fast a snail moves in miles per hour, we can find the unit rate using a proportion.

<h2>Unit Rate</h2>

The unit rate is the amount per one unit. In this problem, the unit is for one hour. One way to find the unit rate is by using a proportion.

<h2>Proportions</h2>

Proportions look like two fractions set equal to each other with a missing variable to solve.

<h3>State our variables</h3>

let <em>x</em> be the number of miles per hour

<h3>Write a proportion</h3>

The first fraction has a number for the numerator (top) and denominator (bottom), because the question gives us the information. The second fraction has a missing value, <em>x</em>, that we are solving for. We can write <em>x</em> in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

<h2>Solve</h2>

We can solve by finding the scale factor. The scale factor is the number we can multiply the numerator by to find <em>x</em>.

<h3>Find the scale factor</h3>

Start with the proportion.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

To find the scale factor,

  1. Take the denominator from the fraction with a variable: 1\ hr
  2. Take the denominator from the fraction that has no variable:  \frac{1}{3}\ hr
  3. Divide step 1 by step 2 and solve:  1\ hr\ \div\ \frac{1}{3}\ hr = 3

Our scale factor is <u>3</u>.

<h3>Solve for x</h3>

We can find <em>x</em> by multiplying the numerator in the first fraction by the scale factor. This is because <em>x</em> is also in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{(\frac{1}{30}\ mi)*3}{1\ hr}}

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{3}{30}\ mi}{1\ hr}}

Simplify 3/30 by dividing the fraction by 3.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{1}{10}\ mi}{1\ hr}}

x = 1/10

∴ a snail moves 1/10 miles per hour.

Learn another way to solve proportions here: brainly.com/question/18437927

7 0
2 years ago
Which statement is true about the prime polynomial
konstantin123 [22]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Liliana bought a helmet for $19.67. How much change should Liliana receive if she pays the cashier with a twenty dollar bill?
ladessa [460]
The answer to this question would be 33 cents.
8 0
3 years ago
Read 2 more answers
Function or not a function
Shkiper50 [21]

Answer:

  • Not a function.

Step-by-step explanation:

<u>Functions have graphs or slopes.</u>

<u>This is not a function.</u>

<u>This is not on a graph or on a slope.</u>

Your answer is not a function.

7 0
2 years ago
Other questions:
  • How do you find sin 30 of a unit circle?
    7·1 answer
  • Please help find the amount of interior angles in the shape.
    15·1 answer
  • The sum of the present ages of Mark and his mother is 60 years. In 6 years she will be twice as old as he will be. Find their pr
    9·1 answer
  • 1 more than twice as many CDs is 17
    11·1 answer
  • When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
    11·1 answer
  • What is the value of y?
    7·1 answer
  • Which graph represents the given inequality? y &gt; 4x + 2
    14·1 answer
  • What is the surface area for 4in 10in and 3in
    9·2 answers
  • Question 10 of 10
    12·1 answer
  • GIVING OUT BRAINLIEST!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!