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nikdorinn [45]
3 years ago
12

The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 15, then =

Mathematics
1 answer:
Artemon [7]3 years ago
4 0

Answer:

Ratio 3:1 or \frac{3}{1}. \frac{QUAD}{STOP}

AD = 15

OP = x

\frac{15}{x} = \frac{3}{1}

Cross multiply

15 × 1 = 3 · x

15 = 3x

\frac{15}{3} = x

5 = x

If AD = 15, then OP = 5

OP = 10

AD = x

\frac{x}{10} =\frac{3}{1}

Cross multiply

1 · x = 3 × 10

x = 30

If OP = 10, then AD = 30

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ch4aika [34]
1.17 + 2.65p = 9
2.65p = 9 - 1.17
2.65p = 7.83
p = 7.83/2.65
p = 2.95.......maximum number of pens Linda can buy is 2
6 0
3 years ago
Problem Page
Orlov [11]

If order matters, then there are 12 ways to do this

If order does not matter, then there are 6 ways to do this

===========================================

We have 4 choices for the first slot and 3 choices for the next (we can't reuse a letter) so that's where 4*3 = 12 comes from

If order doesn't matter, then something like AB is the same as BA. So we are doubly counting each possible combo. To fix this, we divide by 2: 12/2 = 6

To be more formal, you can use nPr and nCr to get 12 and 6 respectively (use n = 4 and r = 2)

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2 years ago
A food product in your kitchen has been contaminated with one bacteria cell. Assume conditions are ideal and bacteria are dividi
tamaranim1 [39]
70 cells?
140 divided by 20 = 70
5 0
3 years ago
Magazines are packed into cartons for distribution. Each hour one person can pack 45 cartons. How many people are needed to pack
kipiarov [429]

Answer:

26

Step-by-step explanation:

One person can pack 45 cartoons per hour

Therefore the number of people needed to pack 1200 cartons can be calculated as follows

= 1200/45

= 26.66

= hence 26 people are needed to pack 1200 cartoons

7 0
2 years ago
We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we
Blababa [14]

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

3 0
3 years ago
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