Answers
Answer:
1. y² = 169
taking a square root of both sides
y = √169
we know that 13 * 13 = 169
since when squaring a number, the signs on the numbers do not matter
(i.e - 2* 2 = 4 and (-2)*(-2) = 4)
So (-13) * (-13) = 169 as well
Hence we can say that √169 = ±13 OR √169 = +13 and -13
2. Volume of a cube-shaped crate = side*side*side
Volume = side³
(We are given that volume = 27)
27 = side³
side = ∛27
Since 3*3*3 = 27 and (-3)*(-3)*(-3) = 27
So, we can say that ∛27 = ± 3
BUT
the side of a crate cannot be negative, so the side will NOT be -3 and hence,
side = 3
3. b³ = 1000
we know that 10*10*10 = 1000 and (-10)*(-10)*(-10) = 1000
So, ∛1000 = ∛(10*10*10)= ±10
4. Area of a square(Patio) = Side²
Area = Side²
196 = Side² (Since we are given the area of the patio)
Side = √196 = √(14*14) or √(-14*-14)
Hence,
Side = + 14 or -14
but the side of a patio cannot be negative
Side = +14 ft
Related Questions
Your $960 got an interest rate of 8.7% which was
compounded monthly for 3 years. What is your $960
worth after 3 years?
Answers
Answer:
D
Step-by-step explanation:
Simplify
4a + 5b – 3b + a
2 marks)
Answers
Answer:
5a+2b
Step-by-step explanation:
4a + 5b – 3b + a
Combine like terms
4a +a + 5b-3b
5a+2b
Answer =5a+2b.
what is 15 700 000 rounded to the nearest hundred thousandth
Answers
Amanda is 25 years old. In 5 years time she will be twice as old as Simone.how old is Simone ?
Answers
Answer:
15 years old.
Step-by-step explanation:
Amanda is currently 25 years old.
In 5 years of time, she will be twice as old as Simone.
25+5=30.
30/2=15.
Thus, Simone is 15 years old.
The value of the the expression:
50 times the sum of 64 and 36?
3,236
2,354
4,104
5,000
Answers
Answer:
5000
Step-by-step explanation:
Let's start by evaluating what we are given. 50 times the sum of 64 and 36. Ok, so 50 times which is the way to write x (multiply) and the sum of 64 and 36 is another way to write 64 + 36.
Lets put this together now!
50 x ( 64 + 36 ) = 50 x ( 100 )
= 5000
A study was conducted to analyze the amount of time spent sitting at a desk for employees over a work day. The time spent sitting was recorded for a large sample of employees and found to follow a bell-shaped distribution with a mean of about 280 minutes. The smallest amount of time was 100 minutes and the largest amount of time was 460 minutes. Unfortunately, the standard deviation was not reported in the summary. Which of the following represent the most appropriate value for that standard deviation?
A. Options 60 minutes
B. 90 minutes
C. 180 minutes
D. 360 minutes
Answers
Mr. Oates has 3/4 pound of oatmeal he uses 2/3 of the oatmeal to big muffins how much oatmeal does Mr. Courts have left
Answers
Answer:
1/12
Step-by-step explanation:
3/4-2/3 = 9/12-8/12 = 1/12
how many many bricks can bob the dog use to make a wood chuck
Answers
Answer: none
Step-by-step explanation:
What are these questions, I want brainless btw
Answer:
Cats
Step-by-step explanation:
:)
Is 3b-8=13;-7 a solution?
Answers
Answer:
See below
Step-by-step explanation:
[tex]3b-8=13 \implies 3b=21 \implies \boxed{b=7}[/tex]
[tex]-7 \text{ is not a solution for the equation}[/tex]
which sentence is true
Answers
Judy’s Cake Shop makes fresh cakes to customer orders. After receiving the order by Judy’s assistant, which takes 2 minutes, Judy then takes 8 minutes to mix the ingredients for the cake and loads a cake pan for baking. Then the cake is put into the oven for 30 minutes. The oven can hold three cakes at one time. When the cake is taken out of the oven, it is cooled for 1 hour. The assistant then takes 2 minutes to pack the cake for pickup and bills the customer, which takes 3 minutes. a. What is the capacity of the process, and what is the bottleneck? b. What is the throughput time for a typical cake? c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Time taken to receive order = 2 minutes
Ingredient mixing and cake loading = 8 minutes
Baking time = 30 minutes
Number of cakes oven can hold at a time = 3
Cooling time = 1 hour = 60 minutes
Cake packing = 2 minutes
Billing customer = 3 minutes
a. What is the capacity of the process, and what is the bottleneck?
The capacity of the process:
Within an hour : two bakings can be done =(30 minutes * 2) = 60 minutes
Also oven can hold 3 cakes, so, 3 cakes can be baked at a time.
Hence, 3 cakes in 30 minutes ;
6 cakes in an hour;
Hence, capacity of the process is 6cakes per hour.
The bottleneck is the oven, because if the number of ovens were to be increased, the process capacity will increase, similarly, if one of the oven gets faulty, then the process capacity reduces further.
b. What is the throughput time for a typical cake?
The throughput time, is the summation of all the time taken to fully complete an order :
Receipt of order + mixing + baking + cooling + packing + billing
2 + 8 + 30 + 60 + 2 + 3 = 105 minutes
c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
(Throughput time / 60) * average number of order
(105/60) * 5
= 1.75 * 5
= 8.75
A company earns $175 a week for 10 weeks. It then has a loss of $87 a week for 15 weeks. At the end of the 25 weeks what is the company's balance?
Answers
175 x 10 = 1,750
87 x 15 = 1305
1750-1305 =445
29023789236+8974937077834758371=
Answers
Can someone tell me why the answer for this absolute value equation is all real numbers?
Answers
Answer:
yo its not that hard it just means that it can be any number
Stella has 215 coins and 89 of them are nickels. Two-thirds of the remaining coins are pennies. How many pennies does Stella have?
A. 38
B. 42
C. 66
D. 84
Answers
Answer: 84
Step-by-step explanation:
215 - 89 = 126
126 divided by 3 = 42
42 x 2 = 84
( this was how my teacher taught me to do these kind of problems)
Hope this helps! <3
Answer:
The answer is 84
Step-by-step explanation:
got it right on edge :D
A square field has 3,844 sq. meters of land. What is the width of the field?
Answers
Answer:
The side length is 62 meters
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
3844 m^2 = s^2
Take the square root of each side
sqrt( 3844 m^2) = sqrt(s^2)
62 m= s
The side length is 62 meters
if the mean of a negatively skewed distribution is 40 which of these values could be the median of the distribution
a.35
b.50
c.40
d.45
Answers
Answer:
c.40
plz mark brainliest if helpful
13. In a recent Barangay election, Mr. Reyes won as Barangay Chairman with 3,074
votes. If there are 5,800 voters in the barangay, what percentage voted for Mr.
Reyes?
A) 12%
B) 47%
C) 53%
D) 88%
Answers
Answer:
53%
Step-by-step explanation:
Total voters = 5,800
5,800= 100%
3,074=X
X=3,074*100/5,800= 53%
Which of the following expression(s) are equivalent to 0.16? Select all that apply.
A)
16
100
B)
9
50
OD) 16%
.
Answers
Answer:a
Step-by-step explanation:
6. You earn 8% commission on sales. What is the commission if the sales
were as follows. 4 items at $1200,7 items at $650; 7 items at $600, and 6
items at $450? (no commas)*
Answers
Answer:
The total commission is=$1300
Step-by-step explanation:
The commission rate is a fixed number that applies to all the sales made by a salesperson. In our problem, the fixed commission rate is 8%, and the sales were as follows:
4 items at $1200 for a total of $4800. The commission is:
8% of 4800 = 0.08*4800 = $384
7 items at $650 for a total of $4550. The commission is:
8% of 4550 = 0.08*4550 = $364
7 items at $600 for a total of $4200. The commission is:
8% of 4200 = 0.08*4200 = $336
6 items at $450 for a total of $2700. The commission is:
8% of 2700 = 0.08*2700 = $216
The total commission is: $384+$364+$336+$216=$1300
The total commission is=$1300
During one waiter's shift, he delivered 13 appetizers, 17 entrees, and 10 desserts. What percentage of the dishes he delivered were:
A. desserts?
B. appetizers?
C. entrees?
Answers
Answer:
deserts are 32.5%
appetizers are 42.5%
deserts are 25%
Step-by-step explanation:
let me know if i helped
14 increased by 14 5/7
Answers
• Increased means addition
• Add the whole number first
• 14 + 14 5/7 is equal to 14 + 14 + 5/7
hope this helps x
The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What is the probability that the parking lot is full given that today is a holiday?
66%
15%
5.51%
Answers
Answer:
66%
Step-by-step explanation:
Use conditional probability.
P(full | holiday) = P(full AND holiday) / P(holiday)
P(full | holiday) = 0.19 / 0.29
P(full | holiday) ≈ 0.66
Answer:
I'm sure the answer is 15%
Step-by-step explanation:
If an area can be washed at a rate of 2,700 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)
Answers
Answer:
250,000
Step-by-step explanation:
2ℓ + 2w for ℓ = 5.7 and w = 6.2.
Answers
Answer:
6.2
Step-by-step explanation:
Answer:
The answer to this problem is 6.2
Step-by-step explanation:
The Algebraic expression is a 2ℓ+2w for ℓ= 5.7 and w = 6.2
what is 2 times 80+ 185-40+699-59
Answers
Answer:
945
Step-by-step explanation:
Answer:
1730 (2 times the whole expression) or 945 (2 times the addend of 80) [what is implied when 80+ 185-40+699-59 is not in parenthesis]
Step-by-step explanation:
2 times (80 + 185 - 40 + 699 - 59) →
2 (80 + 185 - 40 + 699 - 59)
2 ((((80 + 185) - 40) + 699) - 59)
2 ((265 - 40) + 699) - 59)
2 (225 + 699) - 59)
2 (924 - 59)
2 (865)
1730
_____________________
2 times 80 + 185 - 40 + 699 - 59 →
2(80) + 185 - 40 + 699 - 59
(((160 + 185) - 40) + 699) - 59
((345 - 40) + 699) - 59
(305 + 699) - 59
1004 - 59
945
Which line is perpendicular to a line that has a slope of -1/3?
Answers
Answer:
Any line with slope -1/(-1/3)=3.
Step-by-step explanation:
If a line l has slope m, any line perpendicular to l will have slope equal to -1/m.
Answer: line EF
Step-by-step explanation:
Did it in edg
PLZ HELP FAST looks easy
Answers
Answer:
45
90
135
180
225
Step-by-step explanation:
It represents a function because each element in the domain is matched with exactly one element in the range.
Use the rules of significant figures to simplify the following expression:
25.5 x 10.09
Answer here
Answers
Sig Figs
3
Decimals
0
Scientific Notation
2.57 × 102
The sum of matrices A and B is C.
Answers
Answer:
Step-by-step explanation: -3