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
ArbitrLikvidat [17]
3 years ago
8

Five times a number is 16 less than thirteen times the same number. Find the number.

Mathematics
1 answer:
Dovator [93]3 years ago
7 0

Answer:

2

Step-by-step explanation:

Let the number be x. Writing an equation in terms of the number, x, gives

5x=13x-16.

Adding 16 to both sides gives

5x+16=13x.

Then, subtracting 5x from both sides gives

8x=16,

and dividing by 8 on both sides simplifies to

x=2.

You might be interested in
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per​ te
nikitadnepr [17]

This question is incomplete

Complete Question

An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 132 students​?

Answer:

a)How many students does the academy have per​ teacher?

22 students per teacher

b) Per​ tutor?

11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

12 tutors

Step-by-step explanation:

a)How many students does the academy have per​ teacher?

6 teachers = 132 students

1 teacher = x

6 × x = 132 × 1

x = 132 × 1/6

x = 22 students

Hence, we have 22 students per tutor

b) Per​ tutor?

4 tutors = 44 students

1 tutor = x students

Cross Multiply

4 × x = 1 × 44

x = 44/4

x = 11 students

Hence, we have 11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

44 students = 4 tutors

132 students = x tutors

Cross Multiply

44 × x = 132 × 4

44x = 132 × 4

x = 132 × 4/44

x = 12 tutors

The academy needs 12 tutors if they have 132 students.

5 0
3 years ago
Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. L
lesya692 [45]

Answer: A(t)=-8t+52

Step-by-step explanation:

<h3> The missing question is: "What is the Functions formula A(t)=?"</h3><h2 />

The  equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

According to the data given in the exercise, you know that:

- A(t) represents the area to paint the Hiros' romm as a function of time.

- The rate he painted the room was 8 square meters per hour.

- The area left to paint after 3 hours was 28 m².

Therefore, based on this, you can idenfity that:

1. The slope of the line is:

m=-8

2. One of the point on the line is:

(3,28)

So you must substitute the slope and the coordinates of that point into y=mx+b and then solve for "b" in order to find its value:

28=-8(3)+b\\\\28+24=b\\\\b=52

Therefore, you can determine that the function A(t) is:

A(t)=-8t+52

4 0
3 years ago
What are geosynchronous satellite used for
aleksley [76]

Answer:

Geosynchronous satellites are used by scientists to monitor and observe the Earth’s atmosphere. They work by orbiting around the Earth at the same rate as the Earth orbits so that the satellites are over the same spot on Earth all the time, which provides valube information on monitoring weather, communications, and surveillance. Usually, these satellites are located around 22,236 miles above the Earth’s equator.

Step-by-step explanation:

8 0
3 years ago
Write out the first four terms of the maclaurin series of f(x) if f(0)=−13,f′(0)=−6,f″(0)=5,f‴(0)=6 f(x) = +⋯
gladu [14]

-13 - 6x +  \frac{5}{2}  {x}^{2}  +  {x}^{3}
7 0
3 years ago
A 20 ounce bottle of lotion costs $3.95. how much does each ounce costs ?
Ksju [112]

Answer:

3.95 divided by 20 equals 0.1975

4 0
3 years ago
Read 2 more answers
Other questions:
  • The water level in a lake was 22 inches below normal at the beginning of March. The water level decreased by 3 1/6 inches in Mar
    12·1 answer
  • An area reserved for a parking lot is 80 feet long and 77 feet wide. The stalls of the lot are at 90° angles to two one-way aisl
    8·2 answers
  • What negative 8 in graphing
    5·1 answer
  • Terrell de shays statement balance is $432.10 he has one outstanding check for $37.00 what is terrells adjusted balance?
    9·1 answer
  • What is the measure of angle y?
    13·2 answers
  • Let f(x)=4^x. The new function g(x)=f(x-1)+3 represents transformations that were made to function f. Type the new equation for
    7·2 answers
  • Zahra reads 45 words per minute. at this rate. how many minutes will it take for her to read 180 words
    7·1 answer
  • Triangle ABC has its vertices at the following coordinates:
    13·1 answer
  • What is the answer to 6y + 2 = -4 plz hwelp. (7th grade math)
    5·2 answers
  • Review the work showing the first few steps in writing a partial fraction decomposition.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!