Answer:
This situation represents a function. The domain is {A, B, C, D, E} and the range is {$5, $10, $20, $50, $100}.
Step-by-step explanation:
Firstly, we need to know what a function is:
It is simply something that relates an input to an output. Like for instance a mirror is a function that relates your face to your image. In lay terms we can call something a function if and only if it can relate one thing to another. Mathematically, a function is called a function if and only if every input has a distinct output, just as how one face can't produce two images at a time when looked at the mirror. The input is called the domain and output range.
Now, in the question we are told that all the bills are mapped – related in lay terms – to some set of coins that are exactly the same number of the bills. This means each bill has a distinct input. Here is a clearer picture:
A to 5 usd
B to 10usd
C to 20usd
D to 50usd
E to 100usd
Where A, B, C, D and E respectively stand for the distinct coins that are mapped to the distinct bill.
From here, each coin has it distinct output. Therefore it is a function.
The domain is {A, B, C, D, E} and the range is {$5, $10, $20, $50, $100}.
Translate the sentence into an equation.
Twice the difference of a number and 9 is 5.
Use the variable c for the unknown number.
There are 4 squares and 8 triangles. What is the simplest ratio of squares to triangles?
Answer:
1:2
Step-by-step explanation:
x + 2y = 2 and 6x – 3y = 21 parallel, perpendicular, or neither
Answer:
perpendicular
Step-by-step explanation:
both lines meet at a 90 degree angle
what graph passes the vertical line test?
please helpppppppppp
Answer:
solution is 6²⁰ I think
Students taking an achievement test receive separate scores for the math and verbal sections of the test. The linear model below can be used to predict a student's verbal score, y, based on the student's math score, x.
y = 0.4433x + 307.68
What does the slope of this equation mean in terms of the context of the problem?
Given:
Student's verbal score, y, based on the student's math score, x is
[tex]y=0.4433x+307.68[/tex]
To find:
The meaning of slope of this equation in terms of the context of the problem.
Solution:
Slope intercept form of a linear equation is
[tex]y=mx+b[/tex] ...(i)
where, m is slope and b is y-intercept.
The given equation is
[tex]y=0.4433x+307.68[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=0.4433[/tex]
Therefore, the slope of the linear equation is 0.4433. It means, student's verbal score, y increased by 0.4433 if the student's math score, x increased by 1.
the product of one more number and 4 more than the number is 54. Find the numbers
Answer:
25 and29
Step-by-step explanation:
let x be one number
then according to questions another number will be x+4
we can write
x+x+4=54
2x=54_4
2x=50
x=50/2
x=25
one number is 25 and another number is 25+4=29
What is the sum of measures of the exterior angles in a 25-gon?
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon = 360°
the price of an item has been reduced by 85%. the original price was $35 find price of item.
please help also look at my other question i posted i need help on it :(
Answer:
original price = 35
new price = 35 - 85%*35 = 35 - 29.75 = 5.25
Step-by-step explanation:
A dessert shop bought 20.6 gallons of ice cream. There are approximately 3.8 liters in 1 gallon. Which measurement is the closest to the number of liters of ice cream the dessert shop bought?
Answer:
78 Liters
Step-by-step explanation:
20.6 x 3.8 = 78.28 liters Rounds up to 78 liters
I need some help with this problem
Answer:
-6
Step-by-step explanation:
First you need to substitute -1 in for x in -2x^2
This makes it (-2)(-1)^2
-2x^2 becomes -2 so this means that the equation is now
-2 + (-1) - 3
-2 + (-1) = -3
-3 - 3 = -6
The rectangle shown is composed of smaller equally-sized squares. The shaded section has an area of 3/16 square inches. Use a unit rate to determine the area of the larger rectangle.
Answer:
Area of larger rectangle = 1½ = 1.5 in²
Step-by-step explanation:
The section consists of 3 small squares that has an area = [tex] \frac{3}{16} in^2 [/tex].
Area of 3 small squares = [tex] \frac{3}{16} in^2 [/tex]
Area of 1 small square = [tex] \frac{3}{16} [/tex] ÷ 3
= [tex] \frac{3}{16} * \frac{1}{3} [/tex]
= [tex] \frac{3*1}{16*3} = \frac{1}{16} [/tex]
The larger rectangle has 24 small squares of equal sizes
Area of larger rectangle = area of 1 small square * 24
= [tex] \frac{1}{16} * 24 [/tex]
[tex] = \frac{24}{16} = \frac{3}{2} [/tex]
Area of larger rectangle = 1½ = 1.5 in²
One meaning of the word rigid is "not bendable", and another is "unable to be changed". How do those meanings correspond to the definition of rigid motion?
Answer:
The meaning of rigid corresponds with rigid motion
Step-by-step explanation:
Rigid motion in geometry occurs when a point or object is moved, but the size and shape remain the same. It is also referred to as RIGID TRANSFORMATION.
Therefore, the meaning of the word rigid, which means "not bendable", and another is "unable to be changed" corresponds to the definition of rigid motion.
Rigid means unable to move or remain stagnant.
What is the solution to the following equation?
−2(4x+3)=5+3x
Answer:
x = -1
Step-by-step explanation:
i am thinking of an number. then i Times it with 6 and adds 2. the answer is 20. make an Equation and find x.
Plz help me now!
Answer:
The equation:
6x + 2 = 20
The answer:
x = 3
subtract 2/35 from the sum of 3/7 and 4/5
Answer: i think the answer is 1 6/35
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex](\frac{3}{7} + \frac{4}{5} ) - \frac{2}{35} \\\\\frac{15+28}{35}- \frac{2}{35}\\\\\frac{43}{35}- \frac{2}{35}\\\\\frac{41}{35}\\\\1\frac{6}{35}[/tex]
Barbara bought 5 amusement park tickets at a cost of $30. If she bought 7 tickets, how much would it cost?
It would cost $
.
Answer:
$42
Step-by-step explanation:
5 divided by $30 so each ticket would be $6 then just multiply $6 and 7
Answer:
It would cost $42 because 30 divided by 5 equals 6, so that's saying for each 1 ticket it costs $6. So with the new equation, 7 x $6, we get $42. Which will end up being the cost for 7 tickets.
4. Car license plates in California consist of a nonzero digit followed by three letters followed by three digits. How many different California license plates are possible?
Answer:
Each of the three letter combinations can be combined with any of the three number combinations so the total is 17,576 x 1000 = 17,576,000 different combinations possible.
Step-by-step explanation:
I hope this help you
Solve the equation for the indicated variable
x - 3y for y
Answer:y=x/3
Step-by-step explanation:
x-3y=0
or,x=3y
y=x/3
Write 1.9 as a mixed number and an an improper fraction
Write your answer in simplest form
Answer:
Mixed number: 1 9/10
Improper fraction: 19/10
which is greatest -9 or 9
Answer: 9
Step-by-step explanation: on a number line -9 is before 0 9 is after 0 , and any number to the right of a number is greater.
5-4x+2=0
help plzz !
Answer:
x = 7/4
Step-by-step explanation:
5-4x+2=0
= -4x +5 +2 =0
= -4x + 7 = 0
= -4x +7-7 = 0-7
= -4x = -7
divide both sides by -4
and u got
x = 7/4
Answer:
3/4
Step-by-step explanation:
Step 1:
5 - 4x + 2 = 0 Equation
Step 2:
3 - 4x = 0 Combine Like Terms
Step 3:
3 = 4x Add 4x on both sides
Step 4:
x = 3 ÷ 4 Divide
Answer:
x = 3/4
Hope This Helps :)
two thirds plus one fifth
Answer:
0.866666666666666666666666666666666 or 13/15
Step-by-step explanation:
Convert both numbers to fractions and add them together to get 13/15.
The addition of the two-thirds plus one-fifth is 13/15.
What is the addition?The addition of two or more numbers possesses some important properties.
The list of properties of addition given below will help in predicting the sign of the result obtained in the addition process.
The given expression is;
[tex]\rm \dfrac{2}{3}+\dfrac{1}{5}[/tex]
The addition of the expression is determined in the following steps given below.
[tex]\rm = \dfrac{2}{3}+\dfrac{1}{5}\\\\=\dfrac{2 \times 5+3\times 1}{15}\\\\ =\dfrac{10+3}{15}\\\\=\dfrac{13}{15}[/tex]
Hence, the addition of the two-thirds plus one-fifth is 13/15.
Learn more about addition here;
brainly.com/question/9859817
#SPJ2
A rectangular pool has an area of 5x2 + 23x + 12 and the length of one side is 5x + 3. What is the
length of the other side?
Answer:
x + 4
Step-by-step explanation:
Area of rectangle= length × breadth
In this question, one length is 5x + 3 and the area is 5x^2 + 23x + 12
This means that;
5x2 + 23x + 12 = 5x + 3 (b)
Hence, to get the other length (b) = 5x2 + 23x + 12/ 5x + 3
To get the other length, we can factorize the algebraic expression;
5x2 + 23x + 12
Product: 60x^2 (20x × 3x)
Sum: +23x (20x + 3x)
Hence;
= 5x^2 + 20x + 3x + 12
Next, we find factors;
5x (x+4) + 3 (x+4)
Therefore, the factors are (5x + 3) and (x +4)
This means that the other length is (x +4)
Calculate 5% rebate on a $150 cell phone. How much are you going to save?
Answer:
Save 7.5$ and it will be $142.5
Step-by-step explanation:
Need help ASAP! Tysm
Answer:
12n-17
Step-by-step explanation:
add like terms: 9n+3n and -16-1
3) ml - 6x — 7 and 22 - 4x + 7.
Find x.
Help!!!!!
Write an equation that is parallel to 3x−2y=14 and passes through the point (-6, -11) in slope-intercept form.
3*-6-2*-11=14
-18+22=14
22=14+18
10
Answer: First, remember that parallel lines have the same slope. So we first need to find the slope of the line we are given, 3x+2y=27. The quickest way to find the slope of this line is to put it into slope-intercept form (y=mx+b)
subract 3x from both sides:
2y=-3x+27
divide each term by 2:
y=-3/2x +27/2
Now we can see that the slope is -3/2.
From here, we use the slope we found and the ordered pair given (7,-4) and find the equation of the new line. We will have to use point-slope form (y-y1)=m(x-X1) to find the new line because the ordered pair given is not the y-intercept.
(y-(-4))=-3/2(x-7)
distribute -3/2:
(y-(-4))= -3/2x + 21/2
simplify double negative on left side of equals sign:
y+4=-3/2x + 21/2
Subtract 4 from both sides:
y= -3/2x + 13/2
This is your answer in slope intercept form. Because the directions specifically ask for standard form, we have one more step. Standard form (ax+by=c) needs the terms with x and y to be on the same side of the equals sign. So, we simply have to move the term with x (-3/2x) to the other side by adding.
Finished product:
3/2x+y= 13/2
Step-by-step explanation:
Grade 10 Grade 11 Grade 12 Total
Uses School Buses
34
27
33
94
Does Not Use School Buses
16
23
17
56
Total
50
50
50
150
Choose all of the statements that can be inferred from the data in the table.
A. 37% of all students do not use school buses
B. 66% of students in grade 12 use school buses
C. 11% of students in grade 10 do not use school buses
D. 34% of students who use school buses are in grade 10
E. 15% of all students are in grade 11 and do not use school buses
Answer:
Step-by-step explanation:
B
Answer: B
Step-by-step explanation:
HELP ASAP
Solve: 7a + 10 = 2a
Answer:
a = -2
Step-by-step explanation:
7a + 10 = 2a
subtract 2a from both sides
5a + 10 = 0
subtract 10 from both sides
5a = -10
divide both sides by 5
a = -2
hope this helps