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
sweet [91]
3 years ago
6

7. The Quotient

Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0

Answer:

<h3>The number is 500</h3>

Step-by-step explanation:

Let the number be x

The quotient of a number divided by five is written as

\frac{x}{5}

the number decreased by 400 is written as

x - 400

Equate the two expressions

We have

\frac{x}{5}  = x - 400

Multiply through by 5

That's

x = 5x - 2000

x - 5x = - 2000

- 4x = - 2000

Divide both sides by - 4

x = 500

Hope this helps you

You might be interested in
Go step by step to reduce the radical.<br> V216
oksano4ka [1.4K]

Answer:

6\sqrt{6}

Step-by-step explanation:

\sqrt{216}

factorise 216

\sqrt{2*2*2*3*3*3}

since it is square root (meaning it has index to) pair up the number

2*3\sqrt{2*3

6\sqrt{6}

6 0
3 years ago
What is negative 2/7 + 1/4 =
horrorfan [7]

Answer:

-0.03571428571

Step-by-step explanation:

7 0
2 years ago
(Score for Question 3: ___ of 5 points) The measure of ∠2=8x+10 and the measure of ∠4=42+6x. Find the measure of ∠4. Show your w
Svetradugi [14.3K]

Answer:

∠4 = 78°, assuming out measurements have been taken in degrees.

Step-by-step explanation:

If ∠2 = 8x + 10 and

∠4 = 42 + 6x

We will assume that x in both cases is represented by the same number, therefore, we will first need to solve for x. We will do so by equating both angle measurement expressions.

8x + 10 = 42 + 6x        Take away 6x from both sides

2x + 10 = 42                Take 10 away from both sides to combine like terms

2x = 32                        Divide both sides by 2 to isolate x

x = 16

Knowing x, we can solve for the measure of ∠4 by plugging in 16 for x

∠4 = 42 + 6x

∠4 = 42 + 6(6)

∠4 = 42 + 36

∠4 = 78°, assuming out measurements have been taken in degrees.

4 0
3 years ago
Bella wants to know how tall the oak tree in her back yard is, so she picks
melamori03 [73]

Answer:

B = 62.9ft

Step-by-step explanation:

The distance where she is from the oak tree is 75ft,

The angle of elevation the stone makes with the top of the oak tree is 40°

The height of the tree is x ft

See attached document for better illustration

Using SOHCAHTOA,

Tanθ = opposite/ adjacent

θ = 40°

Opposite = x ft

Adjacent = 75ft

Tan40 = x / 75

X = 75 × tan40

X = 75 × 0.8390

X = 62.92ft

The height of the oak tree is 62.9ft

5 0
2 years ago
Which table represents a linear function?
allsm [11]

Answer:

Graph One.

Step-by-step explanation:

See below. The graph is in a straight line, also known as linear. The other graphs are not. Also, if you look at the range (y) of the tables, you can see the increase is linear as it is increasing by .5 (1/2) everytime.

4 0
3 years ago
Read 2 more answers
Other questions:
  • The value of blank divided 40.01 is much less than one?
    14·2 answers
  • Pie divided by 6 is the reference angle for what?
    6·2 answers
  • The angles of a triangle are 80º, 2x + 2º, and 5xº. What is the value of x?
    12·1 answer
  • Which property states that for all real numbers, x, y and z, if x = y and y = z, then x = z ?
    7·1 answer
  • الاسلاميه والارياضيات
    12·1 answer
  • 8(5021)(3054)+(-8)(-5021)(-3054)+3
    14·2 answers
  • If you studied “the world in spatial terms” as a geographer, what would you most likely focus on?
    7·1 answer
  • alica drove at a constant speed and travled 182.4 miles in 3 hours how many miles would alica travel in 11 hours at the same spe
    10·2 answers
  • Y/1 = 36/x is this a direct variation or an inverse variation?
    5·1 answer
  • Does (1,-2) (2,1) (3,0) (4,2) represent a function Yes or No?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!