All categories

3 years ago

#15: A shipment to a warehouse consists of 2,000 watchbands. The

Mathematics

1 answer:

Ad libitum [116K]3 years ago

6 0

2 out of 50 are defective.

Divide 2 by 50: 2/50 = 0.04

Now multiply the total quantity by that:

2000 x 0.04 = 80

80 are likely to be defective.

You might be interested in

Find a10 given the geometric sequence 3, 12, 48, 192, ...

notka56 [123]

Answer:

Step-by-step explanation:

first term = a = 3

common ratio = 2nd term ÷ first term

= 12 ÷ 3

r = 4

$a_{n} = ar^{n-1}\\\\a_{10}=3*4^{9}\\\\\\ = 3 * 262144\\\\= 786432$

3 0

3 years ago

Write a word phrase for each algebraic expression 49+m

Oksanka [162]

Sarah had $49 dollars, plus the money her mom had.

3 0

4 years ago

Read 2 more answers

NEED HELP AGAIN

Viefleur [7K]

2238 - 300 = 1938 ft is your answer

6 0

3 years ago

At the start of the week a bookshop had science and art books in the ratio 2:5. By the end of the week, 20% of each type of book

Anastaziya [24]

Let there be 2x science and 5x art books
science books sold = 2x × 0.2 = 0.4x 
science books unsold = 2x – 0.4x = 1.6x 

art books sold = 5x × 0.2 = x 
art books unsold = 5x – x = 4x 

total books unsold = 1.6x + 4x = 5.6x 
5.6x = 2240 
x = 400 

2x science = 800 
and 5x art books = 2000

5 0

4 years ago

Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

Rufina [12.5K]

Answer: k = -1 +/- √769

Step-by-step explanation:

48x - ky = 11

-48x -48x

-ky = -48x + 11

$\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}$

$y =\frac{48x}{k} - \frac{11}{k}$

Slope: $\frac{48}{k}$

*************************************************************************

(k + 2)x + 16y = -19

- (k + 2)x -(k + 2)x

16y = -(k + 2)x - 19

$\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}$

$y = -\frac{(k + 2)x}{16} - \frac{19}{16}$

Slope: $-\frac{(k + 2)}{16}$

**********************************************************************************

$\frac{48}{k}$ and $-\frac{(k + 2)}{16}$ are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.

$-\frac{(k + 2)}{16}$ * $\frac{k}{48}$ = -1

$\frac{(k + 2)k}{16(48)}$ = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769

5 0

4 years ago