Answer:
Kilogram of chicken = 1
Kilogram of tilapia = 3
Step-by-step explanation:
Cost of chicken = 150 per kilo
Cost of tilapia = 100 per kilo
Number of kilos of each if total cost should not exceed 450
Let :
Number of kilo of chicken = x
Number of tilapia kilo = y
The constraint :
150x + 100y ≤ 450
We could choose some reasonable values of x and y then, test the constraint ;
If x = 1 and y = 3
150(1) + 100(3) = 450
Hence,
1 kilo of chicken with 3 kilos of tilapia offers the greatest combination of Number of kilograms of tilapia and chicken that could be purchased and still satisfy the maximum cost constraint.
If the triangles are congruent,
then y = [?].
4x+1
13
2x+y
8x-2y
Answer:
4x+1
Step-by-step explanation:
The way i got this was because sometimes on shapes there are 4 side and so you would multiply the number of sides then add some more to it.
10
Which of the following is the midpoint between (3, 2) and (-3, 4)?
(0, 3)
(0, 3/2)
(6, 3/2)
(-6, 3)
Answer:
(0, 3)
Step-by-step explanation:
(0, 3) is the following is the midpoint between (3, 2) and (-3, 4)
the sum of 17 and 3 times x
Answer:
20x?
Step-by-step explanation:
Answer:
it will = 17+3x. hope it helps
Marcin buys 7 rulers and 15 crayons for £7.
A ruler costs 12p more than a crayon.
Find the cost of one crayon.
Answer: 28 p is the cost of one crayon.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Marcin buys 7 rulers and 15 crayons for £7.
A ruler costs 12p more than a crayon.
now,
To solve this problem we're going to use an equation.
First let's write down the information that we do know.
Let's use (r) for ruler and (c) for crayon.
So 7 rulers and 15 crayons cost £7 (or 700 pennies)
--> 7r + 15c = 700
But we also know that r = c +12
So we can substitute c + 12 into the first equation where r is at the moment.
7(c+12) + 15c = 700
Now let's expand the brackets.
We multiply 7 by c to get 7c
and 7x12 t0 get 84
7c + 84 +15c = 700
22c + 84 = 700
Here I'm going to take 84 away from both sides.
22c = 616
616 divided by 22 is 28
so c = 28
hence, Each crayon therefore costs 28p.
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please answer for help
Answer:
TS=22
Step-by-step explanation: Since we know the triangles are proportional, we need to set up an proportion to find TS. First, let find which sides are correspond with each, TS and MN does and US and NQ does. So we set up a proportion that includes.
TS/US=MN/NQ: Let plug in the numbers
3x+1/26=5x-2/39: Then cross multiply
39(3x+1)=26(5x-2): Then simplify
117x+39=130x-52: Subtract 117x from both sides
39=13x-52: Add 52 to both sides
91=13x: Divide 13 by both sides
7=x: Then plug it in to TS
3(7)+1=22
A particular electric utility charges customers different rates depending on their daily rate of energy consumption: $0.05/kWh up to 20 kWh, and $0.10/kWh for all energy usage above 20 kWh in any 24-hour period. (a) Calculate how many 100 W light bulbs can be run continuously for less than $10 per week. (b) Calculate the daily energy cost if 2000 kW of power is used continuously.
Answer:
(a) the number of 100W light bulbs is 11
(b) the daily cost of 2000 kW is $4,800
Step-by-step explanation:
charge of energy consumption up to 20 kWh = $0.05/kWh
charge of energy consumption above 20 kWh = $0.10/kWh
(a) number of 100 W light bulbs that can be run continuously for less than $10 per week
Total energy consumed by 100 W in 1 week = (0.1 kW) x (7 x 24 h)
= 16.8 kWh
Charge associated with this consumption = $0.05/kWh
let the number of 100 W light bulbs = n
[tex]n(\frac{\$ 0.05}{kWh} \times 16.8 kWh) = \$10\\\\n(0.84) = 10\\\\n = \frac{10}{0.84} \\\\n = 11.9[/tex]
Since 0.9 is not a whole number, the number of 100 W light bulbs is 11.
(b) if 2000 kW is used continuously
total energy consumption = 2000 kW x 24 h = 48,000 kWh
The daily cost is calculated as;
[tex]= \frac{\$0.10 }{kWh} \ \times \ 48,000 kWh\\\\= \$ 4,800[/tex]
A particular electric utility charges customers different rates depending on their daily rate of energy consumption :
(a) the number of 100W light bulbs is 11
(b) the daily cost of 2000 kW is $4,800
"Energy Consumption"Given :
Charge of energy consumption up to 20 kWh = $0.05/kWh
Charge of energy consumption above 20 kWh = $0.10/kWh(
Part a)
Number of 100 W light bulbs that can be run continuously for less than $10 per week
Total energy consumed by 100 W in 1 week = (0.1 kW) x (7 x 24 h)Total energy consumed by 100 W in 1 week = 16.8 kWhCharge associated with this consumption = $0.05/kWh
Let the number of 100 W light bulbs = n[tex]n\left(\frac{\$0.05}{kWh}\cdot16.8kWh\right)=\$10\\n\left(0.84\right)=10\\n=\frac{10}{0.84}\\n=11.9[/tex]
Since 0.9 is not a whole number.
Thus, the number of 100 W light bulbs is 11.
Part b)
2000 kW is used continuously
Total energy consumption = 2000 kW x 24 h
Total energy consumption = 48,000 kWh
The daily cost is calculated by:
[tex]\frac{\$0.10}{kWh}\cdot48000\ kWh
Daily cost=\$4800[/tex]
Learn more "Energy Consumption":
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Jeffrey is going to charge an initial fee of $10 for mowing lawns, plus an hourly rate. He knows that he wants to
charge a total of $40 to mow his neighbor's yard, and it will take him 2 hours to complete the job.
At the same rate, how much should he charge another customer for a 4-hour job?
A)
$100
B)
$15
C)
$60
D)
$70
Answer:
B 15
Step-by-step explanation:
10 dollar + 2 hours of work 15 x 2
A person operating a machine can mow 0.75 acres in 1/2 hour. What is the rate, in acres per hour, that the person can mow? Write your answer as a decimal.
Answer:
1.5 acres per hours
Step-by-step explanation:
.75 is half an hour so just double the .75 to get the rate of an hour
Answer:
1.5 acres per hours
Step-by-step explanation:
im just smart like that
Solve by elimination and show all steps please
3x=2y-7, 2x-y=10
Answer:
if you download the app photomath it will help you
Step-by-step explanation:
I promise!
Step-by-step explanation:
x=27 and y= 44
.......................
What is meant by conflict cycle?
Answer:
It all starts with something that creates "Tension" between you and another person. "Tension" leads to "Role Dilemma" or blaming the other person for the tension and the problem. ... Then both of you start "Gathering Injustices" to use as ammunition for the inescapable showdown.
Please help with this I really need it
Answer:
Step-by-step explanation:
How many % cup servings are in % cup?
Answer:
I can't see all the answers
Please need help on this please
What is the complete factorization of the polynomial below?
x3 + 8x2 + 19x + 12
O A. (x+4)(x+3)(x+1)
O B. (x + 4)(x-3)(x - 1)
C. (x+6)(x + 2)(x+1)
O D. (x+6)(x-2)(x-1)
Using the Factor Theorem, it is found that the complete factorization of the polynomial x³ + 8x² + 19x + 12 is given by:
A. (x+4)(x+3)(x+1)
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem, using a calculator, the roots of the polynomial x³ + 8x² + 19x + 12 are x = -4, x = -3 and x = -1, hence:
f(x) = (x + 4)(x + 3)(x + 1)
Which means that option A is correct.
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Find the vertex and focus of the parabola.
y^2 - 12y + 4x + 4 = 0
Answer:
Vertex: (8,6) Focus (7,6)
Step-by-step explanation:
32/4=8
Half of 12=6
help me asap pls pls
Answer:
11(7+4)=22 7+4=18 here i think it help for u
The surface area of a ball is 576 pi square millimeters. What is the ball’s radius? Recall the formula S A = 4 pi r squared. 12 millimeters 14 millimeters 24 millimeters 48 millimeters
Answer:
r = 12 millimeters
Step-by-step explanation:
Surface area of a ball = 4πr²
Surface area of a ball = 576 pi square millimeters
Surface area of a ball = 4πr²
576π = 4πr²
r² = 576π / 4π
r² = 144
Find the square root of both sides
√r² = √144
r = 12
r = 12 millimeters
Answer:
The answer is 12 millimeters
Step-by-step explanation:
I'm doing it rn
best describes the length of the ribbon
[tex] 2 \frac{1}{2} \ inches [/tex].
The ribbon's length ends at 2 and half. Thus, the length must be equal to 2 ½ inches.
what do you call two math teachers who bowl?
Answer:
69
Step-by-step explanation:
PLEASE HELP! Need answers ASAP. Thank you!
1.For each of 200 randomly selected cities, Gary recorded the number of churches in the
city (x) and the number of homicides in the past decade (y). He calculated the linear
correlation coefficient and was surprised to find a strong positive linear correlation for
the two variables. Does this suggest that building new churches causes an increase in
the number of homicides? Why do you think that a strong positive linear correlation
coefficient was obtained? Explain your answer with reference to the term lurking
variable.
Answer:6
Step-by-step explanation:
1. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: s + 7 *
2. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: 5r - 4 *
3. if r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: t - s *
4 .If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: u + r *
5. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: 11t - 7 *
6. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: 6 + 3u *
7. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: 4r - 10s *
8. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: (r with an expnent of 2 +8)
9. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: *
30 over r
10.If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: *2t with an exponent of 2-18
Answer:
1. s + 7 = 9
2. 5r - 4 = 21
3. t - s = 5
4. u + r = 6
5. 11t - 7 = 70
6. 6 + 3u = 9
7. 4r - 10s = 0
8. r with an expnent of 2 +8 = [tex]r^{2} + 8 = 33[/tex]
9. 30 over r = [tex]\frac{30}{5}[/tex] =6
10. 2t with an exponent of 2-18 = [tex](2t)^{2} - 18 = 178[/tex]
Step-by-step explanation:
1. If r = 5, s = 2, t = 7, and u = 1 then,
s + 7 = 2 + 7 = 9
2. If r = 5, s = 2, t = 7, and u = 1 then,
5r - 4 = 5(5) - 4 = 25 - 4 = 21
3. if r = 5, s = 2, t = 7, and u = 1 then,
t - s = 7 - 2 = 5
4 .If r = 5, s = 2, t = 7, and u = 1 then,
u + r = 1 + 5 = 6
5. If r = 5, s = 2, t = 7, and u = 1 then,
11t - 7 = 11(7) - 7 = 77 - 7 = 70
6. If r = 5, s = 2, t = 7, and u = 1 then,
6 + 3u = 6 + 3(1) = 6 + 3 = 9
7. If r = 5, s = 2, t = 7, and u = 1 then,
4r - 10s = 4(5) - 10(2) = 20 - 20 = 0
8. If r = 5, s = 2, t = 7, and u = 1 then,
r with an exponent of 2 +8 = [tex]r^{2} + 8 = 5^{2} + 8 = 25 + 8 = 33[/tex]
9. If r = 5, s = 2, t = 7, and u = 1 then,
30 over r = [tex]\frac{30}{r} = \frac{30}{5} = 6[/tex]
10.If r = 5, s = 2, t = 7, and u = 1 then,
2t with an exponent of 2-18 = [tex](2t)^{2} - 18 = (2.7)^{2} - 18 = (14)^{2} - 18 = 196 - 18 = 178[/tex]
Predict whether the product will be greater than, less than or equal to the second factor. 1/5 x 3/4
Answer:
14
Step-by-step explanation:
A friend has offered to play a gambling game with you that involves flipping a coin that she has provided. You want to test the coin in advance for fairness before agreeing to gamble. Your friend is willing to let you flip it 50 times to determine if the probability of getting heads is actually 0.50, as it should be if the coin is fair. Is it necessary to check the 10% condition in this case
Answer:
The 10% condition would not apply here
Explanation:
The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.
Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.
Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.
Two hundred people responded to a survey. Of those who had green eyes, 7 had blonde hair, 9 had brown hair, and 2 had red hair. Construct a two-day table to display these data. Then identify the least common combination of eye and hair color. Explain.
Answer:
18
Step-by-step explanation:
at the beginning of the school year Anderson Middle School had 480 students at the end of the year it had 504 students what is the percent of change in the enrollment
Answer:
The number of enrollments increased by 5%.
Step-by-step explanation:
Given that:
Number of students at the beginning of the year = 480
Number of students at the end of the year = 504
Change = 504 - 480 = 24
This indicates increase.
Percent of change = [tex]\frac{Change}{Old\ number\ of\ students}*100[/tex]
Percent of change = [tex]\frac{24}{480}*100[/tex]
Percent of change = 5%
Hence,
The number of enrollments increased by 5%.
The volume, of a rectangular solid with length L, width W, and height H is given by the formula V = LWH.
Use this formula to write a polynomial in standard form that models, or represents, the volume of the open box.
The volume of the open box is ____
Answer:
[tex]V(x) = 4x^3-34x^2+66x[/tex]
Step-by-step explanation:
Polynomials
We'll apply the polynomials to geometry.
The volume of a rectangular box can be calculated as
V = LWH
Where L is the length, W is the width, and H is the height of the box.
The figure shows the three dimensions as a function of the variable x:
W = 6 - 2x
L = 11 - 2x
H = x
Substituting in the formula of the volume:
[tex]V(x) = (11-2x)(6-2x)(x)[/tex]
Multiplying the first two factors:
[tex]V(x) = (66-22x-12x+4x^2)(x)[/tex]
Simplifying:
[tex]V(x) = (66-34x+4x^2)(x)[/tex]
Multiplying by x:
[tex]V(x) = 66x-34x^2+4x^3[/tex]
Reordering:
[tex]\boxed{V(x) = 4x^3-34x^2+66x}[/tex]
are these ratios equivalent 35 forks to 45 7 forks to 9 spoons yes or no
Answer:
Yes
Step-by-step explanation:
35:45 is the same as 7:9 because if you divide both side by 5, 35:45 goes to 7:9
Hugo withdrew some money from his bank account. He spent one third of the money for gasoline. Then he spent half of what was left for a haircut. He bought lunch for $6.55. When he got home, he had $13.45 left.
How much did he withdraw from the bank?
a. $60
c. $70
b. $50
d. $40
Answer:
fmgrjn
Step-by-step explanation:
2) An $80 text book was on sale for $49.60 at the used book store. By what percent did the book decrease in price?
The answer fam is......... 38%
Answer: 38%
Step-by-step explanation:
80x0.62=49.60
solve for x.
if possible could you describe how you got to the answer too- i'm really not getting this
Step-by-step explanation:
By Side-Splitter Theorem,
20 / 30 = 36 / (x + 5 + 30).
Therefore (x + 5 + 30) = 54, x = 19.
Answer:
x=59
Step-by-step explanation:
hope this helped