Answer:
13 more pounds. The dog weighs 13 more pounds than the cat.
Answer:
13 pounds
Step-by-step explanation:
21-12=13
2 milks + 5 waters + 8 chips = $25
water cost = 2×chips cost
milk cost = $1.50 + water cost
The cost of each: milk, water, chips.
Let m, w, and c represent the costs of milk, water, and chips, respectively. We can write the given relations more compactly as
... 2m + 5w + 8c = 25
... w = 2c
... m = w + 1.5
We can substitute for w everywhere using the second equation. This gives us
... m = 2c +1.5
... 2(2c+1.5) + 5(2c) + 8(c) = 25
... 22c + 3 = 25
... 22c = 22
... c = 1
Then
... m = 2·1 + 1.5 = 3.5
... w = 2·1 = 2
A gallon of milk costs $3.50, a bottle of water costs $2.00, a bag of chips costs $1.00.
$3.50 is how much the milk costs, a bottle of water is $2.00, and the chips are $1.00.
Using Pythagoras,the distanceof the fox from its den would be 533.26 yards
Opposite = √hypotenus² - adjacent²
Distance = √(900)² - (725)²
Distance = √810000 - 525625
Distance = √284375
Distance = 533.26yards
Therefore, the fox is 533.26yards from his den.
Learn more : Opposite = √hypotenus² - adjacent²
Answer:
1,675
Step-by-step explanation:
add it
Answer:
3 (x + 7)
Step-by-step explanation:
3 can go into 3x one time.
3 can go into 21 seven times.
Therefore when factorized it is written as:
3 (x + 7)
b. Determine the total amount paid over the term of the loan.
c. Of the total amount paid, what percentage is paid toward the principal and what
percentage is paid for interest.
a. The monthly payment is $ 1389.58.
(Do not round until the final answer. Then round to the nearest cent as needed.)
b. The total amount paid over the term of the loan is $
(Round to the nearest cent as needed.)
ANSWER ALL PARTS PLEASE (A,B,C)
ALL THE ANSWERS AND EXPLANATION ARE GIVEN BY CHATGPT LOOK IN THE FILE ATTACHED
Answer:
1. 11 3/4
2. 29 7/16
3. 21 3/8
Step-by-step explanation:
The numbers against the longest marks are the integer portion of the measurement. Tapes that measure inches are marked this way, so we'll presume these are inch measurements. (There is nothing in your picture indicating the unit of measure.)
Each interval between two inch marks is divided into 16 equal parts. The marks get progressively shorter for 1/2, 1/4, 1/8, and 1/16 units. As you would expect, the mark halfway between the numbers is at 1/2 unit, or 1/2 inch more than the smaller of the two integers. The next shorter mark midway in the space between the 1/2 mark and the integers marks 1/4 unit. As you know 1/2 of 1/2 is 1/4. The second-shortest mark is at intervals of 1/8 either side of the 1/4 and 1/2 marks.
Equivalent fractions for numbers of 16ths also give you a clue as to how to read this.
integer inches . . . longest mark
1/16 = 1/16 . . . shortest mark
2/16 = 1/8 . . . second shortest mark
3/16 = 3/16
4/16 = 1/4 . . . third shortest/longest mark
5/16 = 5/16
6/16 = 3/8 . . .second shortest mark
7/16 = 7/16
8/16 = 1/2 . . . second longest mark
__
1. The middle mark between 11 1/2 and 12 is 11 3/4, so that is the measure indicated here.
__
2. The smallest mark is 1/16 less than 1/2, so is 7/16 more than 29. The measure shown is 29 7/16.
__
3. The second smallest mark is 2/16=1/8. This amount less than 21 1/2 (or more than 21 1/4) is 21 3/8.
_____
While it is common for inch rulers to be divided into 16ths, some specialty rulers have other divisions. Engineering rulers may be divided into 10ths, 20ths, 30ths, 40ths, 50ths, and 60ths (6 scales). Architectural rulers are divided in such a way as to make certain scale factors easy to read. It is not uncommon for the first inch or two to be divided into much smaller divisions, 100ths or 64ths or 32nds, for example.
x/3-x-1/2≥1 a. x≤-3 b. x≥-3 c. x≤3 d. x≥3
Answer:
x ≤-9/4
Step-by-step explanation:
x/3-x-1/2≥1
Multiply each side by 6 to get rid of the fractions
6(x/3-x-1/2)≥1*6
2x -6x -3≥6
Combine like terms
-4x-3≥6
Add 3 to each side
-4x-3+3≥6+3
-4x ≥9
Divide each side by -4, remembering to flip the inequality
-4x/-4 ≤9/-4
x ≤-9/4