The total cost is T(x)={ 90x if 0≤x≤2, 180+50x if x > 2}
What is algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/).
Given:
T(x)={a if x≤2, b if x > 2}
let us take
a= 90x, 0≤x≤2
and, b = 180 + 50x for x>2
Hence. the total cost be T(x)={ 90x if 0≤x≤2, 180+50x if x > 2}
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23 + 10 ÷ 2 − (− 14 ÷ 2)
Please explain it.
Step-by-step explanation:
23 + 10 - 2 + 14 + 2
33 - 2 + 16
31 + 16 = 47
which of these expressions are equal?
I. 4.86x0.01
II.48. 6x 0.1
III. 0.0486x100
IV.48.6x10
Answer:
II. 48.6×0.1
III. 0.0486×100
Step-by-step explanation:
48.6×0.1 = 4.86
0.0486×100 = 4.86
Answer:
ll and lll are equal.
Step-by-step explanation:
4.86x0.01 = 0.0486
48.6 x 0.1 = 4.86
0.0485 x 100 = 4.86
48.6 x 10 = 486
3x - 4+1 = -2x - 5 + 5x
Answer:
No solution
Step-by-step explanation:
Simplify and combine like terms
3x - 3 = 3x - 5
Subtract 3x on both sides.
-3=-5
No solution
Answer:
-2
Step-by-step explanation:
Write the following statement in the "if-then" form.
A side of a square measures 3 decimeters if the side's measure is 30 centimeters.
Choose the correct answer below.
OA. If the side of a square measures 3 decimeters, then the side's measure is 30 centimeters.
OB. If the side's measure is 30 centimeters, then the side of a square measures 3 decimeters.
If the side's measure is 30 centimeters, then the side of a square measures 3 decimeters, is the "if-then" form of A side of a square measures 3 decimeters if the side's measure is 30 centimeters.
A statement with an assumption and a conclusion is known as a conditional statement (also known as an if-then statement). The hypothesis is the initial clause, or "if," part of a conditional statement which is followed by the second, or "then," component of a conditional statement is the conclusion. The theory led to the conclusion.
Thus, option B is correct which is, if the side's measure is 30 centimeters, then the side of a square measures 3 decimeters.
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The point P(–5,–5) is translated 1 unit left and 1 unit up. What are the coordinates of the resulting point, P'?
help like rn, like rn rn rn rn , thanks
Answer: 13π/6 √45
Step-by-step explanation:
[tex]\displaystyle\\\sqrt{11} +3\approx6.32\\\\\pi +3,8\approx6.94\\\\Hence,\\\\6.32 < x,6.94\\\\\frac{61}{10}=6.1 \notin\\\\\frac{13\pi }{6}\approx6.81\in\\\\\sqrt{45}\approx6.71\in \\\\6\frac{1}{9}\approx6.11\notin\\\\\sqrt{83}-3\approx6.11\notin[/tex]
Write 2 decimals that are equivalent to the decimal 9.50?
Please help
Answer: 9.5 and 9.500
Answer:
One would be 9/5 and another could be 1.8
Find the volume of this object.
Use 3 for π.
Volume of a Cylinder
V= πr²h
6 in
10 in
8 in
12 in V≈ [?]in³
The volume of the object which is made up of two different cylinders will be 383 cubic inches.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,
V = π r²h cubic units
The object is made up of two cylinders. Then the volume of the object will be
V = π x (3)² x 8 + π x (5)² x 2
V = π(72 + 50)
V = 3.14 x 122
V = 383.08 ≈ 383 cubic inches
The volume of the object which is made up of two different cylinders will be 383 cubic inches.
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Ming says that 0.24>1/4 because 0.24=2/4 which best explains Ming’s error
Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
Answer:
Here SOLUTION: −5x + 4y = 20. 10x − 8y = −40.
Step-by-step explanation:
First, solve the first equation for y. Then, substitute for y in the second equation. This equation is an identity.
Given the line y = -1, write the equation
of the line that is parallel to that line and
passes through (-3,5).
Answer:
Y+5=0
Step-by-step explanation:
Here,given eqn of line is 0.X+Y+1=0_____(i)
since required eqn is parallel to eqn (i)
0.X+Y+K=0____(ii)
passing point (-3,5)
putting the value of Y
5+K=0
.-.K=(-5)
r required eqn is Y-5=0
The tree in Naomi's backyard lost 120 leaves in 12 days.
Which expression below models the change in the number of
eaves per day?
a. 120 ÷ 12
D. -120 ÷ 12
c. 120
-12
d. -120
-12
The tree in Naomi's backyard lost 120 leaves in 12 days. Therefore, the required expression is A. 120÷12
Hope this helps :)
Please help! And show your work for each answer so I can understand, ty
Answer:
a=17, R=101
Step-by-step explanation:
10:
We know that if all angles of a triangle are congruent, the angles must be as well. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
We also know that all interior angles of a triangle add up to 180 degrees. If they are all equal this only leaves us with the possibility of every angle equaling 60 degrees, otherwise they wouldn't add up to 180 AND be equal simultaneously.
To find the value of a set the equation equal to 60.
[tex]4a-8=60[/tex]
Solve for a:
[tex]4a-8=60\\4a=68\\a=17[/tex]
19:
We know in a parallelogram all interior angles sum to 360 degrees.
Remember the sum of angle pairs between parallel lines is 180 degrees. Meaning if we add angles T and S and set them equal to 180 degrees we can then find the value of angle S as we would have the value of variable x.
[tex](4x+1)+(3x+4)=180\\7x+5=180\\7x=175\\x=25[/tex]
Now substitute in the known value of x to find angle S:
[tex]3(25)+4\\75+4\\79[/tex]
Angle S measures 79 degrees.
Using our previous knowledge of two angles on a parallel line summing to 180 degrees, we can find the measure of angle R by subtracting 79 from 180.
[tex]180-79=x\\101=x[/tex]
R=101
Pllss helppppppppppp
Answer: A. x=8
Step-by-step explanation:
0.4(5x-12)+0.5x=15.2
(0.4)(5x)-(0.4)(12)+0.5x=15.2
2x-4.8+0.5x=15.2
2.5x-4.8=15.2
2,5x-4.8+4.8=15.2+4.8
2,5x=20
(2.5)(x)=(2.5)(8)
Divide both parts of the equation by 2.5:
x=8
which operation should be used to solve x-5=12
The required solution of the given expression is x = 17, this is been evaluated by the association of alike terms.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
x - 5 = 12
Now,
Adding 5 on both sides,
x = 17
Thus, The required solution of the given expression is x = 17, this is been evaluated by the association of alike terms.
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Jovani has 144 feet of fencing to make a rectangular garden in his backyard. he wants the length to be 32 feet more than the width. find the width.
The width of rectangular garden comes out to be 20 feet .
Let the width be x feet .
Therefore , length is ( x + 32 ) feet .
Formula for perimeter of a rectangle :
perimeter = 2 ( length + breadth )
By substituting the values in the formula above , the equation becomes ,
2 ( x + x + 32 ) = 144
2 x + 32 = 144 / 2
2 x = 40
x = 20
Hence , width = 20 feet , length = 52 feet .
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I am offering 50 points to answer this and i will do it again and again
Answer: Between 2 and 7
Answer:
2 to 5
Step-by-step explanation:
i don't know because of i don't this transmission may not have the completed Questionnaire
To the citizens of the country of Merka, there is no meal
better than a hot dog nestled securely in a hot dog bun. Relish is optional, mustard is not. The hypothetical market for hot dogs in Merka is graphed. Suppose that the price of hot dog buns decreases. Illustrate the impact of this change on the
market by manipulating the appropriate curve or curves.
The equilibrium price it hot dogs:
a) decreases
b) increases
c) remains the same
The equilibrium quantity of hot dogs:
a) increases
b) decreases
c) remains the same
The supply curve shifts:
a) left
b) right
The demand curve shifts:
a) left
b) right
Based on the price of hot dog buns decreasing, the impact on the market would be the equilibrium price of hot dogs decreases.
The equilibrium quantity of hot dogs decreases.
The supply curve shifts left. The demand curve shifts right.
What happens to the supply curve when prices drop?When the price of a good like the hot dog duns decreases, supplier will have less incentive to keep making it and so will reduce the quantity supplied to the market. This would mean that the supply curve would shift left.
The demand curve on the other hand would shift right because more people would demand the cheaper hotdogs. The equilibrium price which had fallen would then have to rise.
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Tell whether the figure has line symmetry. If so how many lines of symmetry are there?
What is the value of (-2) • (7) • (5) • (-4)= Enter your answer as a number, like this: 42
Answer:
280
Step-by-step explanation:
-2 x 7 = -14
-14 x 5 = -70
-70 x -4 = 280
Answer:
280
Step-by-step explanation:
PEMDAS
The PEMDAS rule is an acronym representing the order of operations in math:
ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)According to the order of operations (PEMDAS), when multiplying, work from left to right:
Given expression:
(-2) · (7) · (5) · (-4)
Multiply -2 by 7:
⇒ (-14) · (5) · (-4)
Multiply -14 by 5:
⇒ (-70) · (-4)
Finally, multiply -70 by -4, remembering that if both numbers are negative, the answer is positive:
⇒ 280
2x+3y-4;where x=1 and y=-1 answer
Answer:
-5
Step-by-step explanation:
2x+3y-4
Evaluate for x=1,y=−1
(2)(1)+(3)(−1)−4
(2)(1)+(3)(−1)−4
=−5
Jamal has a suitcase that contains only 10 white socks. he wants to add enough black socks so that the probability of randomly selecting a white sock is 1/5. how many black socks should jamal add to the suitcase? f. 30 g. 35 h. 40 j. 45 k. 50
40 black socks should be added to the suitcase( i.e., option h )
Let's take x = black socks added by Jamal
Based on the given condition, we have
[tex]\frac{10}{10 + x}[/tex] = 1/5
Here x ≠ -10
Because to define the fraction, the denominator should not be 0.
Now we need to find the value of x,
[tex]\frac{10}{10 + x}[/tex] = 1/5
50 = 10 + x
x = 40
Therefore 40 socks should Jamal add to the suitcase.
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the numbers from $1$ to $150$, inclusive, are placed in a bag and a number is randomly selected from the bag. what is the probability it is neither a perfect square nor a perfect cube? express your answer as a common fraction.
The required probability is [tex]\frac{1}{10}[/tex].
This problem is related to probability.
First we have to calculate the number of outcomes and then the number of favorable outcomes.
In this case the numbers are from 1 to 150.
First we have to find the numbers which are perfect square between 1 to 150= {1,4,9,16,25,36,49,64,81,100,121,144}
Now we have to find the numbers which are perfect cube other than those which came in square={8,27,125}
Here the number of favorable outcome is 150 minus number of elements in set of perfect square and perfect cube.
Now the probability of the required problem is = [tex]\frac{15}{150}[/tex]
= [tex]\frac{1}{10}[/tex]
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Help please
An airline charges an extra fee for a checked bag that weighs more than 50 pounds.
Your bag weighs 44.9 pounds.
You have a 2.5 pound hair dryer, a 1.3 pound souvenir, and a 3.6 pound pair of boots.
Which items can you add to the bag without paying the extra fee?
you can choose any of the 3 items, or any combination of two of the items unless the hair dryer and the boots, because the combined weight is 3.6lb + 2.5lb = 6.1 lb
Which items can you add to the bag without paying the extra fee?
The maximum weight that your bag can have is 50 pounds.
The actual weight of your bag is 44.9 pounds, so if we define x as the weight you can add, then we can write the inequality:
44.9 lb + x ≤ 50lb
Solving the inequality for x, we get:
x ≤ 50lb - 44.9 lb
x ≤ 5.1 lb
Now, the weight of the items are:
hair dryer = 2.5 lb
souvenir = 1.3 lb
boots = 3.6 lb
So you can choose any of the 3 items, or any combination of two of the items unless the hair dryer and the boots, because the combined weight is 3.6lb + 2.5lb = 6.1 lb
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. f(x) = 2x-5; Find f(-8)
Answer:
D.
Theres no need for a explanation :)
Emily purchased a pack of 6 shirts for $18. What was the cost per shirt? someone answer this please.
Answer:
$3
Step-by-step explanation:
Divide 6 from 18 to find the cost per shirt.
18/6=3
3 dollars per shirt.
Hope this helps!
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Aiden surveyed 300 of the students in his school about their favorite color. 85% said their favorite color was red. How many students favorite color was red?
The number of people who like red color is 255 students when 85% said their favorite color was red.
What is percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.
Given:
Total students =300
85% said their favorite color was red.
So, students whose favorite color was red
=85/100 *300
=85*3
= 255 students.
Hence, 255 students whose favorite color was red
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What are the minimum and maximum temperatures recorded in this table?
Temperature (°C) 11 0 24.2 -32.4 -0.6 0.5
The minimum temperature recorded is -32.4°C and the maximum temperature is 24.2°C, as seen by basic comparison of values.
What is comparison of values?The process of comparison of numbers establishes the similarities between two numbers and determines which number is greater, smaller, or equal to another number.
Now, given values :11.0, 24.2, -32.4, -0.6, 0.5
Arranging them in ascending order: -32.4, -0.6, 0.5, 11.0, 24.2Thus, The minimum temperature recorded is -32.4°C and the maximum temperature is 24.2°C, as seen by basic comparison of values.
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The difference between the area of the square and the area of the circle is C. 9x²(4 - π).
How to calculate the area?The area of the square will be:
= Side ×Side
= 6x × 6x
= 36x²
The area of the circle will be:
= πr²
= 3.14 × (3x)²
= π × 9x²
= 9πx²
The difference will be:
= 36x² - 9πx²
= 9x²(4 - π)
Therefore, the correct option is C.
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Give an angle which has the same sine as 300
I might me wrong, but i believe that its -36.
Have a nice day <3