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Anit [1.1K]
3 years ago
12

at barton high school 45 students are taking japanese. This has been increasing at a rate of 3 students per year. the number of

students taking german is 108 and has been decreasing at a rate of 4 students per year at these, when will the number of students taking Japanese equal the number of students taking german
Mathematics
1 answer:
weqwewe [10]3 years ago
6 0

45 + 3x and 108 - 4x

45 + 3x = 108 - 4x

3x = 108 - 45 - 4x

3x = 63 - 4x

9x = 63

x = 63/9

x = 7



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The line containing the median of the trapezoid whose vertices are R(-1, 5) , S(1, 8), T(7, -2), and U(2, 0).
bearhunter [10]

Answer:

y=-\dfrac{5}{3}x+6.5

Step-by-step explanation:

Given: trapezoid RSTU with vertices R(-1, 5), S(1, 8), T(7, -2), and U(2, 0).

Plot these points on the coordinate plane. As you can see, lines RU and ST are parallel lines and segments ST and RU are bases of the trapezoid.

The median of the trapezoid (the middle line) passes through the midpoints of the sides RS and TU. Find these midpoints:

M\left(\dfrac{x_S+x_R}{2},\dfrac{y_S+y_R}{2}\right)\Rightarrow M(0,6.5)\\ \\N\left(\dfrac{x_T+x_U}{2},\dfrac{y_T+y_U}{2}\right)\Rightarrow N(4.5,-1)

The equation of the line MN is

\dfrac{x-0}{4.5-0}=\dfrac{y-6.5}{-1-6.5}\\ \\\dfrac{x}{4.5}=\dfrac{y-6.5}{-7.5}\\ \\y=-\dfrac{5}{3}x+6.5

4 0
4 years ago
4. The volume of a certain room is 2016 cubic ft. If the square footage of the
riadik2000 [5.3K]

Answer:

The room is 14ft high

Step-by-step explanation:

Given

Volume = 2016ft^3

Base\ Area = 144ft^2

Required

The height of the room

This is calculated as:

Volume = Base\ Area * Height

Make Height the subject

Height = \frac{Volume}{Base\ Area}

So, we have:

Height = \frac{2016ft^3}{144ft^2}

Height = \frac{2016}{144}ft

Height = 14ft

7 0
3 years ago
Miss Robinson has 750 stickers. Everyday she gives out 100 stickers. How many days till she has 250?
Rina8888 [55]
750 - 250 = 500
500 / 100 = 5

She has 5 days til she has 250 stickers remaining.
3 0
1 year ago
87 is what percent of hundred <br>​
gregori [183]

It should be 87% cz 87/100

3 0
3 years ago
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
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