Answer:
Step-by-step explanation:
<u>1- digit numbers: </u>
- 1 to 9, number of digits = 9
<u>2- digit numbers:</u>
- 10 to 99, number of digits = 2(99 - 9) = 180
<u>3- digit numbers:</u>
- 100 to 999, number of digits = 3(999 - 99) = 2700
This is more than we have, but we know the number of pages is 3-digit.
<u>Let it be x, then we have:</u>
- 9 + 180 + 3(x - 99) = 1074
- 3(x - 99) = 1074 - 189
- 3(x - 99) = 885
- x - 99 = 885/3
- x - 99 = 295
- x = 295 + 99
- x = 394
Answer:
204.55
Step-by-step explanation:
1 mile per hour is 0.489 yards per second
Solution:
Outfit Shirt Slacks Tie
Outfit 1 Blue Black Red
Outfit 2 Blue Grey Red
Outfit 3 White Black Red
Outfit 4 White Grey Red
Outfit 5 Black Black Red
Outfit 6 Black Grey Red
We take the outfits 1, 2 , 5 and 6 as a subset of the sample space.
So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.
The subset consists of all the outfits that do not have a white shirt.
So the correct options are :
1. (Choice A)
The subset consists of all the outfits that do not have a white shirt.
2. (Choice C)
The subset consists of all the outfits that have a black shirt.
Answer:
4 3/8 cups of baking soda
Step-by-step explanation:
1 3/4 cups of baking soda are needed to make 1 batch of a homemade cleaning product,
Cups of baking soda : batches of homemade cleaning
1 3/4 cups : 1 batch
How many total cups of baking soda I needed to make 2 1/2 batches of the cleaning product?
Let x = total cups of baking soda needed
Cups of baking soda : batches of homemade cleaning
x cups : 2 1/2 batches
Equate the ratios
1 3/4 cups : 1 batch = x cups : 2 1/2 batches
7/4 ÷ 1 = x ÷ 5/2
7/4 × 1/1 = x * 2/5
7/4 = 2/5x
Divide both sides by 2/5
x = 7/4 ÷ 2/5
= 7/4 × 5/2
Cross product
x = 35/8
= 4 3/8 cups of baking soda
C) !!!
In ratios, 'things go with the same things', so recliners have to be both in the numerator or denominator. The 8 is misleading. That's the total, and the problem is all about recliners and couches only