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3 years ago

A box contains 5 plain pencils and 7 pens. A second box contains 4 color pencils and 4

1 answer:

3 0

5:7 (pencils to pens)

7/12 chance that a pen from the first box will be selected.

4:4 (colour pencils to crayons)

4/8 = 1/2 chance that a crayon from the second box will be selected.

The probability of picking both:

7/12 * 1/2 = 8/24 = 1/3

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Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or

ANTONII [103]

Answer:

Step-by-step explanation:

(1). $\frac{1}{7}$ x + y = 9 and y = - 7x ( Neither ) ; lines intersect.

(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.

(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; $m_{1}$ = $\frac{2}{7}$ and $m_{2}$ = - $\frac{7}{2}$ , slopes are opposite reciprocals.

(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.

(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; $m_{1}$ = $\frac{3}{4}$ and $m_{2}$ = - $\frac{4}{3}$ , slopes are opposite reciprocals.

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2 years ago

I need help with this question. I need to find the perimeter of the hexagon RSTUVW.

Elina [12.6K]

9514 1404 393

Answer:

47.71

Step-by-step explanation:

Two "special" triangles are involved.

ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.

ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.

For ΔSWR, the side SW is given as 6, so the other sides are ...

WR = 6√3

RS = 2(6) = 12

For ΔUVW, the side WU is given as 8, so the other sides are ...

UV = VW = 8/√2 = 4√2

Then the perimeter of the figure is ...

P = RS +ST +TU +UV +VW +WR

P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71

7 0

3 years ago

Which type of parent function is f(x) = 1/x

Furkat [3]

Since it has a variable in the denominator, the function f(x) is a parent function classified as rational.

<h3>What are rational functions?</h3>

Rational functions are functions that have the input variable, be it x, t, or any other, in the denominator.

The most simple example is given by:

$f(x) = \frac{1}{x}$ .

More can be learned about rational functions at brainly.com/question/23214539

#SPJ1

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2 years ago

Gerald opened a new savings account with an initial deposit of 50.00 he plans to save 125 dollars each week. how much would Gera

mina [271]

The answer is $2,175

50 + (17 x 125)

4 0

2 years ago

Add using a number line 5/6+(-1 1/6) drag and drop word sum to the correct value on the number line

wel

To find this answer, the second value needs to be converted into an improper fraction. (-1 1/6) becomes (-7/6) when properly converted. Then, 5/6 + (-7/6) becomes the same as (5/6) - (7/6). Since both have common denominators, the numerators can simply be subtracted: (5-7) = -2. This leaves a sum of (-2/6), which can be reduced to (-1/3).

7 0

3 years ago