Using the provided values and the conditions, The inequality equations required are : [tex]x+y \leq 20[/tex] and [tex]450x+200y \geq 4800[/tex].
What do you mean by equation?An equation is a mathematical statement in which two expressions are set equal to each other. It is typically written using an "=" sign, with the expressions on either side of the sign representing equivalent values. For example, the equation 2 + 2 = 4 states that the value of 2 plus 2 is equal to the value of 4. Equations can be used to express relationships and to solve problems.
What are inequalities?An inequality is a mathematical statement that compares two values or expressions. It is similar to an equation, but instead of using the "=" sign to indicate that the two sides are equal, it uses one of the following symbols: ">", "<", "≥", "≤" to indicate that the two sides are not equal. For example, the inequality 2 + 2 > 4 states that the value of 2 plus 2 is greater than 4. Similarly, the inequality 2 + 2 < 4 states that the value of 2 plus 2 is less than 4. Inequalities can be used to express constraints in a problem or to define a range of solutions. They can also be represented graphically by using a number line.
x= number of tables sold
y= number of chair sold
max furniture in a day = 20
so, [tex]x+y \leq 20[/tex].
least selling amount = 4800
so, [tex]450x+200y \geq 4800[/tex]
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Three Baby penguins and their father were sitting on an iceberg 0.75 meters above the surface of the water. The father dove down 5.7 meters from the iceberg into the water to catch dinner for his kids. What is the father penguin's position relative to the surface of the water? Solve this problem and explain how you solved this problem and came to your answer.
What’s number 2 ???
Please help
Answer:
c
Step-by-step explanation:
i think
Answer:
[tex]CB = 7.5[/tex]
Step-by-step explanation:
Well, if the question gave you a right triangle, an angle, and the side length of the side opposite to that angle, this question should scream (TRIGONOMETRY). So tap into your brain and think about how you can use sin, cosine, and/or tangent to solve the problem.
So notice that the question is asking for the side length of CB, the side adjacent to the angle C (53 degrees). Since we already have the length of the side opposite to C (10), we can use tangent, because we know the value of tan58 if we put it in a calculator, and we know the length opposite to C.
[tex]tan(53) = 10/CB[/tex]
[tex]CB * tan(53) = 10[/tex]
[tex]CB = \frac{10}{tan(53)}[/tex]
[tex]CB = \frac{10}{1.327} = 7.5359...[/tex]
Hello- some help please!! I will give you brainlist :]
Answer:
standard form
= x⁶ + 53x⁵ + 2x⁴ -2
Step-by-step explanation:
the degree is 6.
leading coefficient is 1
this is called a polynomial.
it has 4 terms
A watch increased in price by 4/5. After the increase it was priced at £126. What was the original price of the watch?
A watch increased in price by 4/5 is priced at £126, then the original price of the watch was £100.
We know that the price of the watch increased by 4/5. To find the original price of the watch, we can use the following formula:
original price = new price / (1 + increase percentage)
In this case, the new price of the watch is £126 and the increase rate is 4/5. So we have:
original price(1 + 4/5) = 126
original price = 126 / (1 + 4/5)
original price = 126 / (1+ 0.8)
original price = 126/1.8
original price = 70
So, the original price of the watch was £70.
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Plz, help me with this question!
Answer:
I think D is right, because usually congruent angles have the same angle measure, and there's no answer choice for 1 and 3.
jena bought $8 shirt and paid $8.48 with a sales tax. what is the percent of sales tax
Answer:
48 cents
Step-by-step explanation:
Answer:
48 cents
Step-by-step explanation:
What is the length of the missing leg (in millimeters)
Answer:62
Step-by-step explanation: if you divide 10mm by 8mm you will get the celcius of negative 98mm then count the right angle vice versa and you will get 62
The distance between Taylor's house and her school is 300,000 centimeters. What is this distance in kilometers?
Liliana used 444 dark power crystals to raise 141414 zombie soldiers. She wants to know how many zombie soldiers (z)(z)(, z, )she can raise with 101010 dark power crystals. How many zombie soldiers can Liliana raise with 101010 power crystals
On solving the provided question, we can say that by unitary method With ten power crystals, 35 zombie troops can be raised.
What is unitary method ?
The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Liliana raised 14 zombie troops with the help of four dark power stones.
Zombie troops can be increased to a total of 14 with 4 Dark power crystals. Zombies can be raised with 1 Dark power crystal, or 14/4.
Zombie soldiers can be raised using 1 Dark power crystal, or 7/2.
Zombie troops can be generated with 1 Dark power crystal by adding 10 to 7/2. You can produce 5 * 7 zombie troops with 1 Dark power crystal.
35 zombie troops can be generated with 1 dark power crystal.
With ten power crystals, 35 zombie troops can be raised.
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The measure of the exterior angle of the triangle is
The measure of the exterior angle of the triangle is 139°.
What is an exterior angle theorem?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
From the two given angles are 75° and 64° and exterior angle is 2.
Now, ∠2=75°+64°
∠2=139°
Therefore, the measure of the exterior angle of the triangle is 139°.
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How many 8-character passwords consisting of uppercase letters, lowercase letters and digits are there that start and end with the same symbol
Can be cracked within eight hours by the average hacker.
How many 8-character passwords may use both uppercase and lowercase letters?With spaces included in the character count, 8 characters equals between 1 and 2 words. If spaces are excluded from the character count, 8 characters equals between 1 and 3 words.
There are 8-character passwords with capital letters, lowercase letters, and numerals that begin and end with the same symbol.A password of eight characters with just lowercase and capital letters offers 200 billion potential permutations.“1uppercase” is an example of an 8-character password. This password has one uppercase, one lowercase, one number, and one special character.
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solve the equation 2x+4 1/5=9. Explain the steps and properties you used.
Answer:
x = 2 2/5
Step-by-step explanation:
I will insert an image of my work below
The value of x is 12/5 from the equation 2x+[tex]4\frac{1}{5}[/tex]=9
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 2x+[tex]4\frac{1}{5}[/tex]=9
Two times of x plus four and one fifth equal to nine.
Convert the mixed fraction to improper
[tex]4\frac{1}{5}[/tex]=21/5
Now the equation will be 2x+21/5=9
Now subtract 21/5 from both sides by substitution property
2x=9-21/5
2x=45-21/5
2x=24/5
Divide both sides by two by division property.
x=24/10
x=12/5
Hence, the value of x is 12/5 from the equation 2x+[tex]4\frac{1}{5}[/tex]=9
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Simplify: [tex]\frac{32a^2bc^3}{20abc}[/tex]
The fractions is simplified to 8ac²/ 5
What is a fraction?A fraction can be described as the part of a whole element, number or variable.
There are different types of fractions, which includes;
Improper fractionsProper fractionsMixed fractionsComplex fractionsSimple fractionsExamples of improper fractions; 5/3, 7/5
Examples of proper fractions; 3/4, 5/6
Examples of mixed fractions; 3 1/2, 4 5/6
Examples of simple fractions; 1/2 , 1/ 4
From the information given, we have that;
[tex]\frac{32a^2bc^3}{20abc}[/tex]
This is simplified to;
32 × a × a × b × c × c × c/ 20 × a × b × c
Divide the common terms
8ac²/ 5
Hence, the fractions is 8ac²/ 5
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jacks meeting stared at 2:45 pm and ended at 5:25 pm how long did the meeting last
Jacks meeting lasted for 160 min or 2 hrs 40 min.
What is Time?Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.
Given is that jacks meeting stared at 2:45 pm and ended at 5:25 pm.
The time for which the meeting lasted can be written as -
{i} = 2:45 pm
{i + 60 minutes} = 3:45 pm
{i + (2 x 60) minutes} = 4:45 pm
{i + (2 x 60 + 40) minutes} = 5:25 pm
{f} = 5 : 25 pm
The meeting lasted for -
2 x 60 + 40
160 minutes
or
2 hours 40 minutes
Therefore, Jacks meeting lasted for 160 min or 2 hrs 40 min.
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if x-3 is directly proportional to the square y and x=5 when y=2 find x when y=6
Answer:
If x-3 is directly proportional to the square of y, then we can say that:
(x-3) = ky^2
Where k is a constant of proportionality.
If x=5 when y=2, we can substitute these values into the equation to find the value of k:
(5-3) = k(2)^2
2 = 4k
k = 0.5
Now that we have the value of k, we can use it to find the value of x when y=6:
(x-3) = (0.5)(6)^2
x-3 = 18
x = 21
So, if x is directly proportional to the square of y and x=5 when y=2, then x=21 when y=6.
the volume of a cube is 64in squared (2). what’s the length of each side of the cube please help asap
Answer:
4in squared
Step-by-step explanation:
We know that cubes have equal parts all around, and it is basic knowledge for the most part to know 4x4x4 = 64. Therefore, each length must be 4, length, width,and height are all 4.
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
x = -2+√3i and -2-√3i
Step-by-step explanation:
The formula for the general formula is expressed as;
x = -b±√b²-4ac/2a
Given the expression
x²+4x+7 = 0
a = 1, b = 4 and c = 7
Substitute
x = -4±√4²-4(1)(7)/2(1)
x = -4±√16-28/2
x = -4±√-12/2
x = -4±√4*-3/2
x = -4±2√-3/2
x = -4±2√3i/2
x = -4+2√3i/2 and -4-2√3/2
x = -2+√3i and -2-√3i
Nikki shovel snow at a constant rate Nikki plot points on the coordinate plane below to show how many scoops of snow they can shovel in different lengths of time which of the following ordered pairs could Nikki add to the graph
Answer:
2,30
the difference between 3,45 and 4,60 is 1,15. So if you add 1,15 and 1,15 it will be 2,30. you can't do 1,10 because the rate is 1,15 neither can you do 6,85 because 5,75 plus 1,15 is 6,90 not 6,85 so 2,30 is the final choice.
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
Answer:
12
Step-by-step explanation:
Just count the dots
In the given right angled triangle ABC, right
angled at B. P is the mid-point of AC. Prove that
BP=1/2AC
The right angled triangle is missing, so i have attached it.
Answer:
Proved below
Step-by-step explanation:
From the attached image, we can see that QP is parallel to BC.
Now, looking at triangles AQP and ABC, we can see that;
∠ AQP = ∠ ABC
Also;
∠ APQ = ∠ ACB
This means that triangles ABC and AQP are similar.
We are told that P is the mid-point of AC.
Thus; AP = PC
We can now say that;
AP:AC = 1:2 and AQ:AB = 1:2
Since AQ:AB = 1:2, it means Q is the midpoint of AB.
Now, ∠ AQP = ∠ BQP
However, according to SAS congruence test, AQP is congruent to BQP.
Thus; AP = BP = CP
Since AP:AC = 1:2 as we saw earlier, then;
BP:AC = 1:2
Thus:
BP/AC = ½
BP = ½AC
a cell phone company has a basic monthly plan of $40 plus $0.45 for any minutes used over 700. Before receiving his statement, John saw he was charged a total of $48.10. Write and solve an equation to determine how many minutes he must have used during the month. write an equation without decimals.
Answer: 718
Step-by-step explanation:
The formula for determining the cost of the cell phone bill (when more than the base number of minutes is used) is
c=p+(m−b)r
Where:
c is the total cost of the bill: $48.10 for this problem.
p is the base price of the plan: $40 for this problem.
m is the number of minutes used: what we are solving for this problem.
b is the base number of minutes allowed: 700 for this problem
r is the rate for additional minutes: 0.45 for this problem
Substituting and solving for m gives:
$48.10 = $40.00 + (m − 700)$0.45
$48.10 − -$40- = $40.00 − -$40- + (m − 700)$0.45 $8.10= 0 + (m−700)$0.45
$8.10 = (m - 700)$0.45
$8.10 = ($0.45 × m) − ($0.45 × 700)
$8.10 = $0.45m − $315.00
$8.10 + -$315.00- = $0.45m − $315.00 + -$315.00-
$323.10 = $0.45m − 0
$323.10 = $0.45m
[tex]\frac{323.10}{-0.45-}=\frac{0.45m}{-0.45-}[/tex] (Money)
[tex]\frac{323.10}{0.45}=\frac{0.45m}{0.45}[/tex] (Money): cross out the dollar sign for 323.10 and 0.45 under it... then cross out 0.45m but leave the m, and then cross out 0.45 under it.
[tex]\frac{323.10}{-0.45-}=m[/tex]
718 = m
m = 718
John used 718 total minutes during the month.
The equation x^3-5x=59 has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answer to one decimal place. You must show all your working. On the same line as your final answer, you must write to "1 decimal place".
Answer:
The answer is "4.3".
Step-by-step explanation:
Given:
[tex]\to x^3 - 5x - 59 = 0[/tex]
When [tex]x = 4.1:[/tex]
[tex]\to f(4.1) = (4.1)^3 - 5(4.1) - 59 = -10.579[/tex]
When [tex]x= 4.2:[/tex]
[tex]f(4.2) = 4.2^3 - 5(4.2) - 59 = -5.912[/tex]
When [tex]x = 4.3:[/tex]
[tex]\to f(4.3) = -0.993[/tex] (closer to 0)
[tex]\to f(4.4) = 4.184[/tex]
It changes the sign so, the root lies in 4.3 and 4.4.When [tex]x = 4.35:[/tex]
[tex]\to f(4.35) = 1.563[/tex]
When the root is closer to 4.3 than 4.4 So, 1.563 is closer to zero than 4.184.
When [tex]x = 4.32:[/tex]
[tex]\to f(4.32) = 0.0216[/tex] close to zero.
So the answer is 4.3 to 1 decimal place.
It’s supposed to say true or false but can someone help giving brainliest
Answer:
True
Step-by-step explanation:
e^{i\pi} + 1 = 0
Simplifying and therefore meaning that the answer is true.
But in all seriousness 6*3 = 18
6*4a = 24a
So yes it is true :)
1 Which of the following trinomials can be factored?
A x² + 3x + 3
B x² + 3x - 3
C x² + 3x + 2
D x²-3x - 2
X²-3There are a number of ways to factor equations like x2 -3x+2=3x+2=0. If all the terms are positive: (x + ) (x + )=0, If the center term is negative: ( (-)( x -)=0 • If the last or if both terms are negative: ( x +)(x-)=0
What are the trinomial rules?The following are the rulesIf, ll trinomial terms are positive, then all binomial terms will be positive.If the trinomial’s last term is negative but the middle and first terms are positive, one term of the binomial will be negative and the other will be positive.
If we can find two numbers whose product is A * C and whose sum is B, we may factor a trinomial of the type Ax2 + Bx + C. Exemplification 1. Determine if 4x2 + 8x + 3 can be factored. Solution. We want for two numbers whose product is (4)(3) = 12 and whose total is 8. (the coefficient of x).
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Jiri's hamster was put on a special diet. Over 5 days, his hamster ate about 0.054 kg of food. About how much food did Jiri's hamster eat in one day?
Answer:
0.0108 kg
Step-by-step explanation:
Jiri is on a special diet
Over 5 days he eats 0.054
Therefore the food consumed in a day can be calculated as follows
5 days= 0.054
1 day= 0.054/5
= 0.0108kg
what is 12/90 pls help tysm!
Answer:
Hi! Not sure if this is the answer you're looking for, but 12÷90 is 0.13333333333 repeating :)
Answer:
12/90 as a decimal is 0.13333333333 recurring
Step-by-step explanation:
simplified it should be 2/15
Please help
Dean collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:
Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
Based on the data, which statement is most likely correct?
In Grade 8, 17 students liked swimming.
In Grade 9, 27% of students liked volleyball.
In Grade 9, 14 students liked running.
In Grade 9, 18% of students liked running.
Based on the data, the statement that is most likely correct is D. In Grade 9, 18% of students liked running.
How to illustrate the information?The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.
From the information, the Dean collected data on the favorite sports of the students of two grades.
Here, the table shows the relative frequencies of rows for the data collected:
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
In the table, Grade 9, 18% of students liked running. This is Illustrated above. The correct option is D.
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If p(x) is a polynomial function with p ( 3/4 ) = 0 , which statement is true?
A.The function has a factor of (4x + 3).
B. The function has a factor of (4x – 3).
C. The function has a factor of (3x + 4).
D. The function has a factor of (3x – 4).
If p(x) is a polynomial function with p ( 3/4 ) = 0 , then the function has a factor of (4x – 3).
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
If p(x) is a polynomial function with p ( 3/4 ) = 0
Then we need to find which of the given statements are true.
A. The function has a factor of (4x + 3).
If x=3/4 then 4(3/4)+3 which is not equal to zero
B. The function has a factor of (4x – 3).
If x=3/4 then 4(3/4)-3 which is equal to zero
C. The function has a factor of (3x + 4).
If x=3/4 then 3(3/4)+4 which is not equal to zero
D. The function has a factor of (3x – 4).
If x=3/4 then 3(3/4)-4 which is not equal to zero
Hence, If p(x) is a polynomial function with p ( 3/4 ) = 0 , then the function has a factor of (4x – 3).
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The population of cats in a rural neighborhood has declined in the last year by roughly 30%. Residents hypothesize that this is due to wild coyotes preying on the cats. The current cat population is estimated to be 120. Approximately, how many cats were there originally?
Answer:
Orinal number of cats= 171
Step-by-step explanation:
Giving the following information:
Decrease in population= 30%
Current population= 120
To calculate the original number of cats, we need to use the following formula:
Orinal number of cats= current population / (1 - decrease)
Orinal number of cats= 120 / (1 - 0.3)
Orinal number of cats= 171
what is 4,600,000 in scientific notation?
Answer:
Step-by-step explanation:
4.6 x 10^6
Answer:
4.6 x 10^6
Step-by-step explanation: