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3 years ago

11

Four teachers bought 10 origami books and 100 packs of oragami paper for their classrooms. They will share the cost of the items

equally. How much should each teacher pay?

1 answer:

Ksenya-84 [330]3 years ago

3 0

They will take the total price and divide it by four. So x will be the price, so the equation will be x/4=total price per person.

You might be interested in

What is the number of solutions of 4x^2+12x+9=0?

Gwar [14]

Answer:

One Real number solution

Step-by-step explanation:

check the discriminant

12^2 - 4*4*9

b^2 - 4ac

...

144 - 16*9 = 0

one double root

7 0

2 years ago

A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

$m=\frac{-6}{3}$

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

$m_C_D=\frac{2}{3}$

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

$m_C_D=\frac{2}{3}$

so

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago

PLEASEHELP!!!!!!

pantera1 [17]

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

$v_2 = v_1 + 4$ .

The first runner's speed is 4/5 of the speed of the second runner, hence:

$v_1 = \frac{4}{5}v_2$

$v_1 = \frac{4}{5}(v_1 + 4)$

$\frac{1}{5}v_1 = \frac{16}{5}$

$v_1 = 16$

$v_2 = 16 + 4 = 20$

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at brainly.com/question/24863377

5 0

2 years ago

Read 2 more answers

A culture started with 3,000 bacteria. After 5 hours, it grew to 3,900 bacteria. Predict how many bacteria will be present after

juin [17]

the correct answer is 4810 bacteria grew after 9 hours

8 0

3 years ago

A fish tank at a pet store has 8 zebra fish. in how many different ways can Nikki choose 3 zebra fish? A.512 B. 336 C. 24 D. 56

STALIN [3.7K]

<span>56 is the answer because
8*7*6/3*2</span>

7 0

3 years ago