Answer:
7.11 > -7.1
Step-by-step explanation:
Find the cost of tiling a rectangular plot of land 300 m long and 150 m wide at the rate of $6 per square m.
Answer:
$270,000
Step-by-step explanation:
First, find the area of the plot using the formula A = lw
A = lw
A = (300)(150)
A = 45,000
Then, multiply this by 6 to find the total cost:
45,000(6)
= 270,000
So, the cost to tile the plot is $270,000
Answer:
2700
Step-by-step explanation:
Length= 300m
width= 150 m
Area = Lx W = 300 x 150= 4500 sq m
rate per 100 sq meter= 6
so total cost = 4500/ 100 x 6
= 2700
hope it helps!
5/6 - (-2/3)
Steps please
Answer:
9/6
Steps:
5/6 - (-2 x 2)
____. = 9/6
3 x 2
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
Reid's Hardware discounts all riding lawnmowers 9% to customers paying in cash. If Trey paid $1,390.49 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?
Answer:
The original price of the lawnmower is $ 1,528.
Step-by-step explanation:
If Reid's Hardware makes a 9% discount on cash payments, and Trey paid $ 1,390.49 for his lawnmower, to determine the initial cost of the same, the following calculation must be performed:
100 - 9 = 91
91 = 1,390.49
100 = X
(100 x 1,390.49) / 91 = X
139.049 / 91 = X
1.528 = X
Thus, the original price of the lawnmower is $ 1,528.
How much simple interest would Kaitlin earn on $300 at 6% for 3 months?
A. 27
B. 9
C. 54
D. 18
Answer:
C) $54.00
Step-by-step explanation:
300*6%*3
300*0.06*3
which is $54.
Hope this helps plz hit the crown :D
What's the midpoint between 3 and -5
Answer:
Step-by-step explanation:
just imagine you are on a number line and the numbers are
-5....-4.....-3.....-2....-1....0....1....2.....3
as you see the midpoint is -1
given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.
Answer:
Not a triangle.
Step-by-step explanation:
Sum of the two smaller sides must be greater than the largest side.
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Answer:
y = 64
Step-by-step explanation:
The angles are supplementary, that is sum to 180° , thus
2(x + 6) + y = 180 ← substitute x = 52
2(52 + 6) + y = 180
2(58) + y = 180
116 + y = 180 ( subtract 116 from both sides )
y = 64
Aden started with 6 cups of water. Throughout the day he drank the following amounts: 1 1/3 cups, 1 1/2 cups, 1 2/3 cups, and 3/4 cup. How many cups of water are left?
A. 2/3
B. 3/4
C. 1 1/3
D. 1/4
Answer:
B. 3/4 cup of water
Step-by-step explanation:
1 1/3 + 1 1/2 + 1 2/3 + 3/4 = 5 1/4
6 - 5 1/4 = 3/4
Answer: B or 3/4
Step-by-step explanation:
ok first add all the amounts he drank together
1 1/3 + 1 1/2 + 1 2/3 + 3/4
because the denominators are all different, you have to change them to a common denominator, which is 12. i've also changed them to improper fractions.
1 1/3 = 4/3 = 16/12 1 1/2 = 3/2= 18/12 1 2/3 = 5/3= 20/12 3/4 = 9/12
now add them all together
16/12 + 18/12 + 20/12 + 9/12 = 63/12
now convert the original 6 cups to an improper fraction with the denominator of 12
6 = 72/12
now subtract 63/12 (the amount he drank) from 72/12 (the amount he started with)
72/12 - 63/12 = 9/12
9/12 is able to be simplified to 3/4
so the correct answer is B, or 3/4
Select the expressions that are equivalent to 34
Answer:
81 9^2
Step-by-step explanation:
3•3= 9
3•3=9
9•9=81
and 9•9=81
-4y-4+(-3) please help me! thank you
Answer: 1.75 = y
Explanation: In the picture linked
Hope this helps
Enter the number that belongs in the green box cd=
Answer:
9
Step-by-step explanation:
I think 9 since there’s a right angle, so there’s an assumed right angle on the other side of the line. 9 is the hypotenuse when AB is 3 so I think CD would also be 9 since BC is 3 as well.
On a map, the scale is ½ inch to 300 miles. If the trip from Corpus Christi to El Paso is 600 miles, how far apart will those cities appear on the map (in inches)?
Answer:
Step-by-step explanation:
How many miles from El Paso to Corpus Christi?
The total driving distance from El Paso, TX to Corpus Christi, TX is 699 miles or 1 125 kilometers.
Answer:
1 inch
Step-by-step explanation:
1/2 inch = 0.5 inch
0.5/300 = n/600
0.5 * 600 = n * 300
300 = 300n
1 = n or n = 1
Express as a fraction or a mixed number
1 1/2%
Answer:
5 and 1/2
Step-by-step explanation:
what is this answer!!!!!!!!
Step-by-step explanation:
what is this answer
(3x + 40) + (5x - 52) = 180°
8x - 12 = 180°
8x = 180 + 12
8x = 192
8x = 24
x = 3
Can someone help me with these 2 questions real quick?
Answer:
<M = 32 and <Y = 103
Step-by-step explanation:
1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32
2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.
I hope this helps! :)
In the rectangle below, AChas a length of 32 units. What is the length of DE?
O A. 32 units
OB. 64 units
OC. 24 units
O D. 16 units
Three less than half of a number is - 1. Find the number.
Answer:
x = 4
Step-by-step explanation:
Three less than half of a number is -1
The Half Of A Number means the number can be anything, so we can use "x." However, it is half so it would become: 1/2x.
Three less than means it is minus three, therefore becomes: 1/2x-3
However, three less than half of a number is (or in other words is equal too) -1, so the overall equation is
1/2x - 3 = -1
first, add three on both sides to get:
1/2x = 2
multiply two on both sides to get:
x = 4
21. Transportation A youth group with 26 members is going skiing. Each of the five
chaperones will drive a van or sedan. The vans can seat seven people, and the
sedans can seat five people. Assuming there are no empty seats, how many of each
type of vehicle could transport all 31 people to the ski area in one trip?
Answers:
2 sedans and 3 vans
=====================================================
Work Shown:
s = number of sedans
v = number of vans
1 sedan = 5 seats
s sedans = 5s seats
1 van = 7 seats
v vans = 7v seats
5s+7v = all seats
5s+7v = 31
Let's go through all the values of s to see which values of v work.
If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.As a check:
2 sedans = 5*2 = 10 seats
3 vans = 7*3 = 21 seats
10+21 = 31 seats total
This confirms the answer.
The number of vans used is three and the number of sedans is two
Let :
v represent the number of vans
s represent the number of sedans
The following equations can be gotten
7v + 5s = 31 equation 1
v + s = 5 equation 2
The elimination method would be used to solve for v and s
Multiply equation 2 by 7
7v + 7s = 35 equation 3
Subtract equation 1 from 3
2s = 4
s = 4/2
s = 2
Substitute for s in equation 2
v + 2 = 5
v = 5 - 2
v = 3
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
HELP IM IN CLASS DOING IT RIGHT NOW The absolute value of any number is always positive. True False
Answer:
True
Step-by-step explanation:
Answer:
[tex] \huge\purple{TRUE}[/tex]
Step-by-step explanation:
The absolute value of any number is always positive.
Based on the graph, what does the point (0, 0) represent
Answer:
you didn't post the graph but (0,0) is the origin
Answer:
ok
Step-by-step explanation:
thx for helping me get smart and learing my math ava :D
Answer:
NICEE
Step-by-step explanation:
Which of the
the
following fractions is the largest
11/16 , 3/5 , 7/10 , 13/18
Answer:
11/16, 3/5, 7/10
Step-by-step explanation:
0 = 4 + n/5 two step equations
Answer: n= -20?
Step-by-step:
Simplify both sides of the equation
1/5n+4=0
Then subtract 4 from both sides
1/5n + 4 - 4 = 0 - 4
1/5n= -4
Then multiply both sides by 5
5*(1/5n)=5*(-4)
Answer:
0=n
Step-by-step explanation:
1. 0=4+n/5
add 4 and n
2. 0=4n/5
×5. ×5
3. 0=4n
-- --
4 4
4. 0=n
Look at the picture for a more detailed steps
MY NOTES ASK YOUR TEACHER Jack has decided to advertise the sale of his car by placing flyers in the student union and the dining hall of the college. He estimates that there is a probability of 0.4 that a potential buyer will read the advertisement and that, if it is read, the probability that the reader will buy his car will be 0.1. Using these estimates, find the probability that a potential buyer will read the ad and will buy Jack's car.
Answer:
The probability that a potential buyer will read the advert and will buy Jack's car is 0.04
Step-by-step explanation:
Estimate 1: There's a 0.4 probability that a potential buyer will read the advert.
Estimate 2: There's a 0.1 probability that whoever reads the advert will buy his car.
- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.
- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.
- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.
- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1
In the calculation of probability, "and" represents multiplication. Hence,
0.4 × 0.1 = 0.04
Perform the following operation
and express the answer in
scientific notation.
6.300x10^-5 – 7.200x10^-3
[?]*10
Answer:
Step-by-step explanation:
6.3 x10^-5 -7.200 x10^-3= - 0.007137=7.137x10-3
Answer:-7.137 x 10^-3
Step-by-step explanation:
Santiago starts a savings account with $20. Each month he deposits $15 more into the account. Santiago wants to save a least $80. Write an inequality that represents this situation.
Answer:
$20 + $15m ≥ $80
Step-by-step explanation:
He starts off with $20.
He adds $15 each month, so $15m.
He wants to save at least $80, which means greater than or equal to $80. So, you use this symbol: ≥
Put it all together.
$20 + $15m ≥ $80
Hope that helps.
Find the smallest positive four-digit number that is divisible by each of the four smallest prime numbers.
Answer:
It might be 1,050. Also can't believe thats a college question-
It was very easy to solve! Help from an 8th grader here.
Step-by-step explanation:
The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.
What is the divisibility rule?The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.
The four smallest prime numbers are 2, 3, 5, and 7.
To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.
To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:
2 = 2 x 1
3 = 3 x 1
5 = 5 x 1
7 = 7 x 1
Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:
LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹ = 210
Since we want the "smallest 4-digit number", then it is:
210 x 5 =1050
Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.
Learn more about the divisibility rule here:
brainly.com/question/10703980
#SPJ2
Nadine's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Nadine's curtain company wants to make 52 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Find 83 1/3 % of 384
Answer:
319.872
Step-by-step explanation:
319.872 / 384 = 83 1/3 / 100
Final Answer: [tex]320[/tex]
Steps/Reasons/Explanation:
Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].
Step 1: Convert mixed fraction into improper fraction.
[tex]\frac{250}{3}[/tex]
Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].
[tex]\frac{96000}{300}[/tex]
Step 3: Simplify
[tex]320[/tex]
~I hope I helped you :)~