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
AnnZ [28]
3 years ago
13

Three consecutive integers exist where the smallest is fifteen less than twice the larger. Find the integers

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0
Consecutive integers are integers that appear one after the other. so let's call them x, x+1, and x+2.

the smallest (which is x) is 15 less than twice the larger. "the larger" is a bit unclear, but i'm assuming it is referring to the x+1 integer, because it doesn't say the "largest". so x = 2(x+1) - 15. let's try to solve for x.

x = 2(x+1) - 15
x = 2x + 2 - 15
x = 2x - 13
subtract 2x from both sides.
-x = -13
x = 13
x+1 = 14
x+2 = 15

your integers are 13, 14, and 15.
You might be interested in
Which operation should be used to solve x - 5 = 12?
Arlecino [84]

Answer:

addition

Step-by-step explanation:

if u add 5 to both sides, the -5 and the +5 would cancel out, leaving you with x=17

5 0
3 years ago
Read 2 more answers
Two decimals numbers, to the thousandths, that have a sum of about 5 and a difference of about 3. Then do the math to prove it w
mina [271]

Answer:

The numbers are approximately: 4.000 and 1.000

Step-by-step explanation:

The given parameters can be expressed as:

\frac{x}{1000} + \frac{y}{1000} \approx 5

\frac{x}{1000} - \frac{y}{1000} \approx 3

Required

Determine the numbers

In each of the equations, multiply by 1000

1000 * [\frac{x}{1000} + \frac{y}{1000} \approx 5]

x + y \approx 5000

1000 * [\frac{x}{1000} - \frac{y}{1000} \approx 3]

x-y \approx 3000

So, we have:

x + y \approx 5000

x-y \approx 3000

Add the two equations

x + x + y - y \approx 5000 + 3000

2x \approx 8000

Solve for x

x \approx 8000/2

x \approx 4000

Substitute x \approx 4000 in x + y \approx 5000

4000 + y \approx 5000

y \approx 5000 - 4000

y \approx 1000

Using:

\frac{x}{1000} + \frac{y}{1000} \approx 5

We have:

\frac{4000}{1000} + \frac{1000}{1000} \approx 5

4.000 + 1.000 \approx5

<em>This implies that, the numbers approximates to 4.000 and 1.000, respectively.</em>

4 0
3 years ago
Write an expression that is equivalent to 6(7 x - x)
Andre45 [30]

Answer:

Step-by-step explanation:

Assuming that you meant 6(7x - x), we get:  6(6x) = 36x

5 0
3 years ago
PLS HELP ! 100 POINTS!!!!! Select the correct answer. This graph represents a quadratic function. What is the value of a in the
Serga [27]

Answer:

a = 3

Step-by-step explanation:

The vertex form of a quadratic is

y = a(x-h) ^2 +k  where ( h,k) is the vertex

the vertex is (-2,2)

y = a(x- -2) ^2 +2

y = a(x+2) ^2 +2

Pick another point on the graph to determine a

(-1,5) and substitute into the equation

5 = a( -1+2) ^2 +2

5 = a(1)^2 +2

5 = a(1) +2

Subtract 2 from each side

5-2 = a+2-2

3 = a

6 0
3 years ago
Read 2 more answers
A spherical marble has a radius of 0.6 cm what is the approximate volume of the marble?
lianna [129]

Answer: option b

Step-by-step explanation:

You must apply the formula for calculate the volume of a sphere, which is shown below:

V=\frac{4}{3}r^{3}\pi

Where r is the radius (r=0.6cm)

When you substitute values into the formula you obtain that the volume of the marble is the following:

V=\frac{4}{3}(0.6cm)^{3}\pi=0.90cm^{3}

3 0
3 years ago
Read 2 more answers
Other questions:
  • X = 2, w = -1, y = 6, z = 4 x²+4w - 2y​
    9·2 answers
  • Will give brainlyest HELPP
    14·1 answer
  • 10 boys to 12 girls ratio
    14·2 answers
  • Which graph shows y= 1/2x (x)
    6·1 answer
  • Solve -9.4 &gt; 1.7x + 4.2. I need this ASAP
    9·2 answers
  • Help me with this question
    10·1 answer
  • Which statement is true regarding the graphed functions ?
    7·1 answer
  • What is the value of the 7 in 763,400,000?
    14·2 answers
  • A snowmobile traveled 32 miles in 2 1/3 hours.
    11·1 answer
  • B) A color printer prints 20 pages in 7 minutes. How many minutes does it take per page nearest hundredth
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!