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3 years ago

If connie pays $100 for 8 baskets, what is the unit rate for each Basket?

Mathematics

2 answers:

Brrunno [24]3 years ago

8 0

100/8 = 12.5
The unit rate is $12.50 per basket

Evgesh-ka [11]3 years ago

4 0

Answer:

$12.50

Step-by-step explanation:

100 / 8 = 12.50

Hope this helped!

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Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)? Check all that apply. (–2,

zheka24 [161]

Answer:

(–1, 1) and (–6, –1)

(1, 0) and (6, 2)

(3, 0) and (8, 2)

Step-by-step explanation:

Slope of line having points (x1, y1) and (x2,y2) is given by (y2-y1)/(x2-x1)

Two lines with slope m1 and m2 are parallel if there slopes are equal i.e m1 = m2.

Slope of line that contains (3, 4) and (–2, 2)

m = (2-4)/(-2-3) = -2/-5 = 2/5

__________________________________________

To find if other pair of lines lie on line parallel to line that contains (3, 4) and (–2, 2), we need to find slope for other pair of points , if those pairs have slopes as 2/5 then its clear that they lie on line parallel to line that contains (3, 4) and (–2, 2) else not.

Lets find slope of all the pairs

(–2, –5) and (–7, –3)

m1 = -3 -(-5)/-7-(-2) = -3+5/-7+2

m1 = 2/-5 = -2/5

as -2/5 is not equal to 2/5, the mentioned points do not lie on line parallel to line that contains (3, 4) and (–2, 2).

__________________________________________________

(–1, 1) and (–6, –1)

m2 = -1 -1)/-6-(-1) = -2/-6+1

m2 = -2/-5 = 2/5

as 2/5 is equal to 2/5, the mentioned points do lie on line parallel to line that contains (3, 4) and (–2, 2).

_________________________________________________

(0, 0) and (2, 5)

m3 = 5 -0)/2-0

m3 = 5/2

as 5/2 is not equal to 2/5, the mentioned points do not lie on line parallel to line that contains (3, 4) and (–2, 2).

_________________________________________________

(1, 0) and (6, 2)

m4 = 2 -0)/6-1

m4 = 2/5

as m4

As m4 is equal to 2/5, the mentioned points do lie on line parallel to line that contains (3, 4) and (–2, 2).

_________________________________________________

(3, 0) and (8, 2)

m5 = 2 -0)/8-3

m5 = 2/5

as m5 is equal to 2/5, the mentioned points do lie on line parallel to line that contains (3, 4) and (–2, 2).

______________________________________________

Thus, pair of points which lie on lie on line parallel to line that contains (3, 4) and (–2, 2) are

(–1, 1) and (–6, –1)

(1, 0) and (6, 2)

(3, 0) and (8, 2)

3 0

3 years ago

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A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius Each o th

zysi [14]

A regular polygon is drawn in a circle so that each vertex is on the circle

Each of the central angles has a measure of 40

360 / 40 = 9

so the polygon has 9 sides

Answer is the second option

5 0

3 years ago

And a wildlife preserve 46 ducks are captured tagged and then released. Later to her ducks are examined in four of the 200 ducks

docker41 [41]

Answer:

2300

Step-by-step explanation:

We are given that

Out of 200 , four ducks are tagged.

We have to find the number of ducks in the preserve if 46 ducks are tagged.

Let x be the number of ducks in the preserve.

If number of tagged ducks increases then number of preserved ducks also increases.It is in direct proportion.

According to question

$\frac{x}{46}=\frac{200}{4}$

$x=\frac{200\times 46}{4}$

$x=50\times 46$

x=2300

4 0

3 years ago

Which is the completely factored form of the following equation?<br><br> 4a4b2−21a2b+5=0

r-ruslan [8.4K]

The completely factored equation is (a²b - 5)(4a²b - 1)

<h3>How to factor equation?</h3>

4a⁴b² - 21a²b + 5 = 0

let's expand the equation

Therefore,

4a⁴b² - 21a²b + 5 = 0

4a⁴b² - 20a²b - a²b + 5 = 0

Rearrange the equation

4a⁴b² - a²b - 20a²b + 5 = 0

Let's factorise the equation

4a⁴b² - a²b - 20a²b + 5 = 0

a²b(4a²b - 1) - 5(4a²b - 1) = 0

Therefore, the completely factored equation is as follows:

a²b(4a²b - 1) - 5(4a²b - 1) = 0

(a²b - 5)(4a²b - 1)

learn more on equation here: brainly.com/question/8842252

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4 0

1 year ago

Use the equation tool to complete the table.<br> y = 120 + 18(x)

Ira Lisetskai [31]

Answer:

x2 +2x−xy when x = 250 and y = −120 ... sic Algebra: Patterns and Equations (13:18)

Step-by-step explanation:

8 0

2 years ago

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