Answer:
It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.
Step-by-step explanation:
Use exponential decay formula:
A = P (1-r)t
A = amount decreased to
P = original amount
r = rate of decrease
t = time
6 ≥ 12 (1-0.10)t divide both sides by 12
0.5 ≥ (0.9)t take log of both sides
log (0.5) ≥ log (0.9)t power rule of logs lets the exponent t drop to front of log to become a factor
log (0.5) ≥ t log(0.9) divide both sides by log(0.9) which is negative so reverse the inequality sign
log (0.5) / log (0.9) ≤ t use calculator
6.57 ≤ t
It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.
check:
12 (0.9)7≈ 5.73
12 (0.9)6 ≈ 6.37
Simplify 5(1-4x)+2x-40
Answer:
-18x-35
Step-by-step explanation:
5(1-4x)+2x-40
5-20x+2x-40
-18x-35
Answer:
-35 - 18x
Step-by-step explanation:
Distribute to expand it: 5-20x + 2x -40
Collect like terms: (5-40)+ (-20x+2x)
Simplify to get the answer
how to do this question plz
Answer:
y=-2x-1
Step-by-step explanation:
first take 2 points from the graph to find m ( linear equation y=mx+b)
(-1,1) and (-2,3)
m=y2-y1/x2-x1
m=3-(1)/-2+1
m=2/-1
m=-2
now find b at point -1,1
y=-2 x+b
1=-2(-1)+b
b+2=1
b=1-2 ⇒ b=-1
y=-2 x -1
I need help with algebra
Answer:
Hello, my name is 1frogaroni feel free to ask any questions about algebra such as equations you don't understand. I will try my best to help you out with your question :)
Step-by-step explanation:
Oh and welcome to brainly where the community will be glad to help you!
of the 777 graduating seniors in a certain high school, approximately 1/3 are going to a trade school, and approximately 2/7 of those going to a trade school are going to an art or design institute. wich of the following is the closest estimate for the number of graduating seniors going to an art or design institute
a) 74
b)75
c)110
d)219
e)256
Answer:
A. 74
Step-by-step explanation:
777/3 = 259
2/7 of 259 is 2/7 times 259 and that is 74
74 people are going to an art or design institute
Assignment
Examine the algebra tiles screen.
Which equation is being modeled?
0-4x + 3 = 2x + 1
IL
3x + (-4) = x + 2
0 - 4x + 3 = x + 1
O 3x + 4 = x + 2
Answer: 3x + (-4) = x + 2
Step-by-step explanation:
Hope it helps
Answer:
3x + (–4) = x + 2
Step-by-step explanation:
A group of friends were working on a student film. They spent $475 on equipment, which was 95% of their total budget. What was the total budget for their student film?
Round 120 problems in 5 hours
The width of a rectangle measures (2.5u+9.8)(2.5u+9.8) centimeters, and its length measures (1.5u+3.9)(1.5u+3.9) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Solution,
We have,
Width of rectangle, b = (2.5u+9.8) cm
Length of rectangle, l = (1.5u+3.9) cm
We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by:
Perimeter = 2(l+b)
P = 2[(2.5u+9.8)+(1.5u+3.9)]
Collecting like terms
P = 2[(2.5u+1.5u)+(9.8+3.9)]
P=2(4u+13.7)
⇒ P = 8u+27.4
So, the expression for the perimeter of the rectangle is (8u+27.4) cm.
PLEASE HELP which graph represents the solution set to the system of inequalities 2x+y>-4 y>2x y-3>1/2x
Answer:
Step-by-step explanation:
the answer is the first left bottom picture
Need Help ASAP This is due in about 10 minutes
Answer:
1- 3(BDE)
2- 37.18 (83.36 - 46.18=64)
3- 64 (83.36 - 19.36)
4- 140.2 (56.84 + 83.36=140.2)
Charlie has a collection of books that he wishes to display in a narrow bookcase with shelves of width 56cm. The thickest books are no more than 16cm wide and, when placed side by side, the entire collection takes up 2.4m. Find, with justification, the minimum number of shelves required to guarantee that all of the books can be displayed in the bookcase.
Answer:
5 shelves
Step-by-step explanation:
Given the following :
Width of shelves = 56cm
Maximum thickness of books = 16cm
When placed side-by-side, the entire collection of books takes up 2.4m
Minimum number of shelves required to guarantee that all of the books can be displayed in the book case.
Entire book collection = 2.4m = (2.4 × 100) = 240cm
Width of shelf = 56cm
In other to guarantee that the bookshelf contains all the books, we can assume that the each book is of maximum width, 16cm
Hence, maximum number of books each shelf can hold with guarantee
Width of shelf / max. Width of book
= 56cm / 16cm = 3.5
Hence, a shelf can hold 3 books with full guarantee.
If books are all 16cm thick, then the number of books ;
240 cm / 16 cm = 15 books
If one shelf can hold 3 books, then,
15/3 = 5 shelves are required to hold the books with maximum guarantee.
What major key has the same number of sharps and flats as the key of a minor. A. A major B. F major C. C major D. G major This is a music question, not a math questions
Answer:
C major
Step-by-step explanation:
major key has the same number of sharps and flats as the key of minor.
how can you make a sum of 12?
Answer:
6+6+=12
Step-by-step explanation:
Answer:
BELOWStep-by-step explanation:
Through six different ways ;
[tex]1+11=12\\2+10=12\\3+9=12\\4+8=12\\5+7=12\\6+6=12[/tex]
Anusha is walking on a hiking trail at a rate of Three-fourths miles in One-fourth hour. At this rate, how far will Anusha walk in an hour?
Answer:
Step-by-step explanation:
3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3. She will walk 3 miles in an hour.
The distance that Anusha covered in one hour is 3 miles
If Anusha is walking on a hiking trail at a rate of three-fourths miles in One-fourth hour, this is expressed as:
3/4 miles = 1/4 hours
We need to get the rate of Aisha that is the distance traveled in an hour
x = 1 hour
Divide both expressions
3/4x = 1/4
Cross multiply
4x = 3 * 4
4x = 12
x = 12/4
x = 3
Hence the distance that Anusha covered in one hour is 3 miles
Learn more here: https://brainly.com/question/23729577
A bag of pecans costs $3.84. If
each bag contains 40 pecans,
how much would one pecan cost?
Answer:
0.096 but since its money, it would be about 10 cents.
Step-by-step explanation:
to get the price for one pecan you would have to divide
3.84 by 40 just like you would have to divide 40 by 40 to get 1 pecan.
I have 5digits My name is worth 90,000 my two is worth 2 thousand one of my sevens is worth 70 the other is worth 10 times as much my other digit is a six what number am I
Answer:
92776
Step-by-step explanation:
From the given question,
The analysis of the given question can be computed as follows:
I have 5 digits
My name is worth 90000
my two is worth 2000
one of my seven is worth 70
and the other is worth 10 times
as much i.e 10× 70 = 700 700
my other digit is six 6
What number am I?
So, we are expected to look for the summation of all the numbers
i.e 90000 + 2000 + 70 + 700 + 6
= 92776
Thus, the number is 92776
Solve x2 + 6x + 7 = 0
Answers:
Answer:
x2 + 6x = 0 - 7
8x = 7
8x/8 = 7/8
x = 7/8
Help I am being timed
Complete the multiplication problems and order them from the least to greatest according to their products.
6.5
X 2.5
0.6
x 2.5
6.0
x 2.5
Answer:
0.6×2.5
6.0×2.5
6.5×2.5
Step-by-step explanation:
This is in order from least to greatest
HELPPP HELPP!! WHAT IS THE VALUE OF X AND W???
Answer:
w = 42
x = 29
Step-by-step explanation:
We know that w + 138 must equal 180, so we get 42 for w. Then we know that 19 + x + 2 = 90, and w = 42. So if we add 42 + 19, and subtract that from 90, we get 29. Hope this helps!
Please solve both questions. I need it ASAP!!! 30 points! Will give brainliest!!!
Which shows all the like terms in the expression? 4 x minus 3 + 7 x + 1
Answer: option c
Step-by-step explanation:
HELP!!
PLEASE MARKING BRAINLIEST!!!!
please find the square root of..
5,3,and 10...
Show work? Please :[[[[[[[
Step-by-step explanation:
hope the work helps for your answer :)
You have some money in your
pocket in the morning. You buy a book for $12 in the afternoon. When you get
home, you have $28. How much money did you have in the morning
Answer:$40
Step-by-step explanation:
x-12=28
+12. +12
X=40
Sophie went to the lake with her family. First, they spent 1 1 4 hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
Answer:
The total time spent on both fishing and swimming is 3 3/4 hours
Step-by-step explanation:
Here, we are interested in knowing the total time spent on fishing and swimming.
From the question, we are made to know that the time spent fishing is 1 1/4 hours or simply 5/4 hours.
Then they spent two times of this time swimming.
The time spent swimming is thus 5/4 * 2 = 5/2 hours
So the total time spent on both swimming and fishing will be;
5/4 hours + 5/2 hours = (5 + 10)/4 = 15/4 = 3 3/4 hours
8th grade math, please help asap
Simplify 1,999,999 with an exponent of 0
The value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰
Before we can simplify with an exponent of zero, first we must understand that any number raised to the power of zero gives 1. Hence:
1,999,999 = 1,999,999 × 1
Since 1 can be expressed as 10⁰, the value becomes:
1,999,999 = 1,999,999 × 10⁰
Hence the value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰
Learn more here: https://brainly.com/question/545746
what is an integer to represent a 14 feet drop?
Answer:
Step-by-step explanation:
-14 ft drop
drop is below and its a negative number
what is the slope going through the points 7,9 and 14,9
Answer:
The slope is 0
Step-by-step explanation:
The equation is y = 9
As you cans ee thre isn't a slope.
Answer:
9-9/14-7=0/7= undefined
Step-by-step explanation:
you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points
Please help I will give out brainliest
Answer:
see below
Step-by-step explanation:
The covers ( there are 2) are
2* .9 mm = 1.8 mm
Depending on how they are defining pages
If they are defining pages as the number of papers
400 pages at .13 =
400 *.13 = 52 mm
total = 2 covers + 400 pages
= 1.8 + 52
53.8 mm
If they are defining pages as the page numbers
Each page number is on the front and back so 400/2 = 200 pieces of paper
200 pages at .13 =
200 *.13 = 26 mm
total = 2 covers + 400 pages
= 1.8 + 26
27.8 mm
Answer:
52.8 mm thick
Step-by-step explanation:
0.9mm X 2mm90 = 1.8 mm
0.13mm X 400mm = 52 mm
1.8mm + 52mm = 53.8 mm
Try These.
2/3*(-7)8.
Answer:
-7/12
Step-by-step explanation:
2/3×-7/8
= -7/12
Answer:
-7/12
Step-by-step explanation:
2/3×(-7)/8
2×(-7) = -14
3×8 = 24
-14/24= -7/12