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3 years ago

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:

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

$x=2$ .

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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:

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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]