Answer:
b. False
Step-by-step explanation:
The number of costumers that visit your store is a DISCRETE variable because is the set of countable costumers. We count a whole person not parts of a person.
For a continuous variable we are allowed to take any value in an interval. In our case we can not say we had 3.4 costumers. We can say the costumer bought 3.4 gallons of gas for their car.
number or costumers →discrete variable
number of gallons of gas →continuous variable
b. False
Beth wanted to go to the school dance but we only had 25$ people to spend . If the ticket costs 5$, how many cookies could Beth buy at the dance if each cookie costs 1.25
The variables all have the same identity for all conceivable values. A conditional equation can only be true in particular situations where the values of the variables match. A linear equation is an identity if solving it results in a true assertion, such as 0 = 0. The answer is 16 cookies
Explain about Equation?The classification of various types of functions can be done using four primary categories. depending on a factor Onto function, one-to-one relationship, many-to-one relationship, and into function are all examples of relationships between function.
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression.
Equations' true strength is in their ability to explain numerous aspects of the world in a highly accurate manner. (This is why, if one can be found, an equation's solution can be helpful.)
Hence, A linear equation is an identity if solving it results in a true assertion, such as 0 = 0. The answer is 16 cookies
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Which situation can be represented by the expression 2.5 X
Given the expression:
2.5x
Let's determine the situation which best represents the expression.
Let's start from the first statement:
• A. The total amount of change received to pay for an item that cost $2.50:
The best representation for this is: C = A - 2.50
Where A is the amount paid, C is the amount of change.
• B. The area of a rectangle with side lengths 2.5 and x:
The best representation for this situation is:
2.5x
• C. The total cost of an item that is 2.50 more than x dollars:
T = 2.50 + x
• D. The total square footage of a yard when 2.50 yards is divided into equal parts:
This expression cannot be represented by 2.5x
Therefore, the situation which can be represented by the expression 2.5 is:
The area of a rectangle with side lengths 2.5 and x
ANSWER:
B. The area of a rectangle with side lengths 2.5 and x
13. pls help will mark brainliest to anyone
The equation of the line in slope intercept form is found as y = x/5 + 24/5, where slope is (-1/5) and y-intercept is 24/5.
What is named as the slope-intercept form?The slope intercept type of composing a straight line equation is y = mx + b. In the equation 'y = mx + b,' 'b' represents the point in which the line intersects the 'y axis,' and'm' represents the slope of the line. A line's slope or gradient describes how steep it is. It may have a positive or negative value.For the given question;
Two points are given as;
(x1, y1) = (-6, 6)
(x2, y2) = (9, 1)
The slope of the line is found as;
slope = m = (y2 - y1)/(x2 - x1)
m = (1 - 6)/(9 + 6)
m = -5/15
m = -1/5
The equation of the line in slope-intercept form is found as;
y - y1 = m(x - x1)
y - 6 = (-1/5)(x + 6)
5y - 30 = -x - 6
5y = -x + 24
y = -x/5 + 24/5
Thus, the equation of the line is found as y = x/5 + 24/5, where slope is (-1/5) and y-intercept is 24/5.
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radium-221 has a half-life of 30 sec. how long will it take for 86% of a sample to decay? (round your answer to the nearest whole number.)
If radium-221 has half life of 30 seconds. To decay 86% of the the sample, it will take 85.09 seconds
The half life of the radium-221 = 30 seconds
To decay 86% of the sample
The equation of the half life N = [tex]N_0(\frac{1}{2} )^\frac{t}{t_1}[/tex]
Where N is the quantity of substance remaining
[tex]N_0[/tex] is the initial quantity of substance
t is the time elapsed
[tex]t_1[/tex] is the half life of the substance
Substitute the values in the equation
0.14[tex]N_0[/tex] = [tex]N_0(\frac{1}{2} )^\frac{t}{30}[/tex]
Cancel the [tex]N_0[/tex] from each side
0.14 = [tex](\frac{t}{30} )^\frac{t}{30}[/tex]
[tex]2^\frac{t}{30}=\frac{1}{0.14}\\ \frac{t}{30}=log_2\frac{1}{0.14}\\ t = 30log_2\frac{1}{0.14}[/tex]
t = 85.09 seconds
Hence, if radium-221 has half life of 30 seconds. To decay 86% of the the sample, it will take 85.09 seconds
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A grocery store sells a bag of 5 oranges for $2.85. If Rashaad spent $3.42 on oranges, how many did he buy?
Answer:
6 oranges
Step-by-step explanation:
1) I know that 5 oranges equals to $2.85
2)I need to find the cost of 1 orange
3)Divide the 3.42 to the cost of 1 orange
MY WORK:
2.85 / 5= $0.57 ( the cost per orange )
3.42 / 0.57= 6 oranges
Hope this helps!
when the product of 6 and 8 became 48, what must be done to write that in scientific notation ?
By definition, Scientific notation has the following form:
[tex]a\cdot10^n[/tex]Where the coefficient "a" is a number from 1 to 10, but not including 10 and the exponent "n" is an Integer. The base will be always 10.
When you write a number in Scientific notation, the decimal point must be after the first digit of the coefficient.
In this case, you have:
[tex]6\cdot8=48[/tex]So, in order to write that product in Scientific notation, you must move the decimal point one space to the left. This must be represented in the exponent. If you move it just one space, to the left, then the exponent will be 1 and will be positive.
Therefore, you get that this is:
[tex]=4.8\cdot10^1[/tex]Therefore, you can determine that the answer is:
[tex]4.8\cdot10^1[/tex]If f(x) = 1/5x - 11, what is f(−12)?
Given: AABC, mzC = 90°
m2A = 30°, BC = 16
Find: AB and AC
Help fast
The most appropriate choice for trigonometry will be given by -
AB = 32
AC = [tex]16\sqrt{3}[/tex]
What is Trigonometry?
Trigonometry shows the relationship between sides and angles of a right angled triangle.
There are six trigonometrical functions. They are
[tex]sin\theta,[/tex] [tex]cos\theta[/tex], [tex]tan\theta[/tex], [tex]cot\theta[/tex], [tex]sec\theta[/tex], [tex]cosec\theta[/tex]
[tex]sin\theta=\frac{perpendicular}{hypotenuse}\\\\cos\theta=\frac{base}{hypotenuse}\\\\tan\theta=\frac{perpendicular}{base}\\\\cot\theta=\frac{base}{perpendicular}\\\\sec\theta=\frac{hypotenuse}{base}\\\\cosec\theta=\frac{hypotenuse}{perpendicular}[/tex]
Trigonometry is a very important tool in mathematics.
Here,
The figure has been attached here.
Since this is a right angled triangle, trigonometry can be applied here,
Since ∠C = 90°, AB is the hypotenuse of [tex]\DeltaABC[/tex][tex]\Delta ABC[/tex] as the side opposite to 90° angle is the hypotenuse.
Let BC be the base of [tex]\DeltaABC[/tex][tex]\Delta ABC[/tex]
BC = 16
m∠B = 180 - (90 + 30)
= 180 - 120
= 60°
cos 60 = [tex]\frac{BC}{AB}[/tex]
[tex]\frac{1}{2} = \frac{16}{AB}\\AB = 16\times 2\\AB = 32[/tex]
sin 60 = [tex]\frac{AC}{AB}[/tex]
[tex]\frac{\sqrt{3}}{2} = \frac{AC}{32}\\\\AC = 32 \times \frac{\sqrt{3}}{2}\\\\AC = 16\sqrt{3}[/tex]
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What does it multiply too
0.88
X 1.2
Answer:
1.056
Step-by-step explanation:
Thank you to who ever helps
Applying the transitive property of congruency and other postulates, lines l and m are proven to be parallel as explained below.
What is the Transitive Property of Congruency?The transitive property of congruency states that when two angles are sides are congruent to another third angle or side, then the three sides or angles are all congruent to each other.
For example, if <A = <C, and <B = <C, then <A = <B.
The proof that shows that lines l and m are congruent is explained below:
Statement Reason
1. r║s, <5 is congruent to <6 1. Given
2. <5 is supplementary to <4 2. Same-side interior angles theorem
3. <4 is supplementary to <6 3. Transitive property of congruency
4. l║m 4. Converse of same-side interior <s theorem
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2 +4
5
3
Please help me
We convert 2 into 6/3.
Now, we add the fraction part of the mixed number with 6/3
-> 5/3 + 6/3 = 11/3
So, it is equal to 4(11/3)
Now, we convert 11/3 into 3(2/3)
-> 4(11/3) = 4+3(2/3) = 7(2/3).
Answer:
based on the bodmass 4×5÷3=6.7+2=8.7
Suppose that 19 inches of wire costs 76 cents.
At the same rate, how many inches of wire can be bought for 64 cents?
Answer: 16 inches
Step-by-step explanation: well, if you do 76/19, it gives you four, so the ratio is 1-inch costs 4 cents.
Then you just have to do 64/4, which gives you 16. You can buy 16 inches of wire with 64 cents
it is 76 at the 6000 foot level of a mountain and 49 at the 12000 foot level of the mountain. write a linear equation to find the temperature T at an elevation X on the mountain, where x is in thousands of feet
The most appropriate choice for Linear equation will be given by-
[tex]2000T = -9X+206000[/tex]
This is the required equation to find the temperature T at an elevation X on the mountain.
What is linear equation?
Equation shows the equality between two expressions by connecting the expressions with an equal to sign.
A one degree equation is called linear equation.
Here,
Let X denotes the elevation of the mountain and T is the temperature
Let the equation be T = pX + c
It is 76 at the 6000 foot level of a mountain
Putting T = 76 and X = 6000
6000p + c = 76 .........(1)
It is 49 at the 12000 foot level of the mountain
Putting T = 49 and X = 12000
12000p + c = 49..........(2)
Subtracting (2) from (1),
6000 p = -27
[tex]p = \frac{-27}{6000}\\\\p = \frac{-9}{2000}[/tex]
Putting the value of p in (1),
[tex]6000 \times \frac{-9}{2000} + c = 76\\-27 + c = 76\\c = 27 + 76\\c = 103[/tex]
Equation
[tex]T = \frac{-9}{2000}X+103[/tex]
[tex]2000T = -9X+206000[/tex]
This is the required equation to find the temperature T at an elevation X on the mountain.
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The scale of a map is 1 in.: 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns? Explain.
The given statement is not true because the actual distance between two towns is greater than 100 times the map distance since 100 miles is more than 100 times as great as 1 inch.
What is the scale of the map?
We are given the scale of the map as;
1 inch : 100 miles
What this means is that 1 inch on the map represents an actual distance of 100 miles.
Now, from conversion values, we know that;
1 mile = 63360 inches
Now, the question is trying to suggest that the actual distance between two towns 100 times the map distance between the two towns
The given statement is not true because as seen from the conversion above, the actual distance between two towns is greater than 100 times the map distance since 100 miles is more than 100 times as great as 1 inch.
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The table contains data on the number of people visiting a historical landmark over a period of one week.
From the data provided, we can consider the following function as a good approximation:
[tex]y=2.57+49.29x-3.86x^2[/tex]Therefore:
The answer is:
a quadratic function with a negative value of a
In a scale diagram, 0.15 inch represents 150 feet. How many inches represent 2.5 feet?
Answer:
.0025 inches
Step-by-step explanation:
[tex] \frac{.15}{150} = \frac{x}{2.5} [/tex]
[tex]150x = 3.75[/tex]
[tex]x = .0025[/tex]
find five soultion linear eqation x+y=3
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equivalent.
What are Equations?Equations are logical formulations of the connection between two values. A mathematical equation can be defined in a variety of ways. The given equation is x + y = 3Let the value of x = 0,then,0 + y = 3⇒ y = 3One of the solutions for x + y =3, is (0,3)Similarly, If x = 1,then,1 + y =3⇒ y = 3 - 1 = 2One of the solutions for x + y =3, is (1,2)If x = 2,then,2 + y = 3⇒ y = 3 - 2 = 1One of the solutions for x + y =3, is (2,1)If x = 3, then,3 + y = 3⇒ y = 3 - 3 = 0One of the solutions for x + y =3, is (3,0)If x = 4,then, 4 + y = 3⇒ y = 3 - 4 = -1One of the solutions for x + y =3, is (4, -1)Hence, five solutions of the equation x + y = 3, are:(0,3), (1,2), (2,1), (3,0) and (4, -1).Mathematical variables are used in even the most fundamental and straightforward algebraic equations. There could be multiple variables in a linear equation. A linear equation is one in which the variable's maximum power is consistently 1.A one-degree equation is another name for it. At least one variable should be raised to exponent 2 in quadratic equations.To learn more about Equations, refer to:
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The five solution of the linear equation x+y=3 is = (0,3), (1,2), (2,1), (3,0) and (4, -1).
What are Equations?Equations are logical formulations of the connection between two values. A mathematical equation can be defined in a variety of ways. Mathematical variables are used in even the most fundamental and straightforward algebraic equations.
There could be multiple variables in a linear equation. A linear equation is one in which the variable's maximum power is consistently 1.
A one-degree equation is another name for it. At least one variable should be raised to exponent 2 in quadratic equations.
What is the linear equation's general form?Ax+By=C is the usual form for two-variable linear equations. For example, 2x+3y=5 is a linear equation in standard form.
Let the value of
x = 0,
then,
0 + y = 3
⇒
y = 3
One of the solutions
for x + y =3, is =(0,3)
Similarly, If x = 1,
then,
1 + y =3 ⇒ y = 3 - 1 = 2
One of the solutions for x + y =3, is
(1,2)
If x = 2,
then,
2 + y = 3
⇒ y = 3 - 2 = 1
One of the solutions for x + y =3, is
(2,1)
If x = 3, then,
3 + y = 3
⇒ y = 3 - 3 = 0
One of the solutions for x + y =3, is
(3,0)
If x = 4,
then,
4 + y = 3
⇒ y = 3 - 4 = -1
One of the solutions for x + y =3, is
(4, -1)
Hence,
five
solutions of the equation x + y = 3, are:
(0,3), (1,2), (2,1), (3,0) and (4, -1).
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Type the correct answer in each box.If , then a = , b = , c = , and d =
Consider the following matrix equation:
Applying the additive property, this is equation is equivalent to:
[tex]\begin{bmatrix}{a-2} & {b+5} & {} & {} \\ {c\text{ -10}} & {d\text{ +6}} & {} & {} \\ {} & {} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}=\text{ }\begin{bmatrix}{4} & {8} & {} & {} \\ \text{ -}{1} & {0} & {} & {} \\ {} & {} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}[/tex]This is equivalent to the following linear system of equations:
Equation 1:
[tex]a\text{ - 2 = 4}[/tex]Equation 2:
[tex]b+5=8[/tex]Equation 3:
[tex]c\text{ -10= -1}[/tex]Equation 4:
[tex]d\text{ +6=0}[/tex]From equation 1, we get:
[tex]a\text{ = 4+2=6}[/tex]From equation 2, we get:
[tex]b=8\text{ - 5 = 3}[/tex]From equation 3, we get:
[tex]c\text{ = -1+10 = 9}[/tex]From equation 4, we get:
[tex]d\text{ = -6}[/tex]we can conclude that the correct answer is:
Answer:[tex]a\text{ = 6}[/tex][tex]b=\text{ 3}[/tex][tex]c\text{ = 9}[/tex]and
[tex]d\text{ = -6}[/tex]The diagram shows a triangle. 35° 2w 3w What is the value of w?
Applying the triangle sum theorem, the value of w in the triangle is calculated as: w = 29.
What is the Triangle Sum Theorem?The triangle sum theorem states that if we add up all the three interior angles of any given triangle, we will have a sum of 180 degrees.
This means that, irrespective of whatever triangle that is given, the sum of all the interior angles of such triangle will be equal to 180 degrees.
The diagram attached below shows the following interior angle measures of a triangle: 35°, 2w, and 3w.
To find the value of w in the triangle given, we have to create an equation using the triangle sum theorem that will enable us solve for the value of w.
Thus:
35 + 2w + 3w = 180° [according to the triangle sum theorem]
Combine like terms
35 + 5w = 180
Subtract both sides by 35
35 + 5w - 35 = 180 - 35 [subtraction property of equality]
5w = 145
Divide both sides by 5
5w/5 = 145/5 [division property of equality]
w = 29
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A ribbon is 3 4/5 feet long. Each hair tie needs
2/5 feet. How many hair ties can you make?
A ribbon is 3 4/5 feet long. Each hair tie needs 2/5 feet. Number of hair ties is 6
What is meant by fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction, Next, multiply the two numerators. Then, multiply the two denominators.
No of hair ties = 6
How to find number of hair ties :
Length of the ribbon = 3 4/5 feet
Length of each hair tie needed = 2/5 feet
To find how many ties , divide the total length of ribbon by 2/5
That is = [tex]\frac{3 (4/5)}{2/5}[/tex]
= 6 You can make 6 no. of hair tie from 3 4/5 feet ribbon.
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2x - 8 + 3x - 10 = 10x - 43
The value of variable x in the equation is 5.
How to solve for x in an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Therefore, let's solve for variable x in the equation below.
2x - 8 + 3x - 10 = 10x - 43
A variable is number represented with a letter in an equation.
Hence,
2x - 8 + 3x - 10 = 10x - 43
2x + 3x - 8 - 10 = 10x - 43
5x - 18 = 10x - 43
5x - 10x = - 43 + 18
-5x = - 25
divide both sides of the equation by -5
-5x / - 5= - 25 / -5
Therefore,
x = 5
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Please help me with this question
Answer:
its A
Step-by-step explanation
i took this test
Calculate the rise and run to find the slope of each line! Please help me!!!
Answer:
Slope = 2
Step-by-step explanation:
See attached graph/worksheet.
Solve the inequality r divided by negative 3.2 is greater than or equal to 7.6 for r.
r ≥ −24.32
r ≤ −24.32
r ≥ 2.375
r ≤ −2.375
Answer:
r ≤ -24.32
Step-by-step explanation:
r/-3.2 > 7.6
r /-3.2 × 3.2 > 7.6 × -3.2
r ≤ -24.32
Answer: r ≤ −24.32
Step-by-step explanation:
The inequality you provided is:
r/-3.2 >= 7.6
To solve for r, we can multiply both sides of the inequality by -3.2 to get:
r <= -24.32
Therefore, r is less than or equal to -24.32.
I hope this helps! Let me know if you have any other questions.
what is(7x10^-6) (5x10^-6) in scientific notation?
Answer:
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. So 3.5 times 10 to the power of -11
The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the
height of the wall.
Veronica needed 11.2 quarts of paint to paint a room with perimeter 40 feet and wall height 14 feet.
How much paint will she need to cover the walls of a room with perimeter 50 feet and wall height 15 feet?
Round your answer to one decimal place.
quarts
She need 15 quarts to cover the walls of a room with perimeter 50 feet and wall height 15 feet.
Define area.The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.
Given Data
Veronica needed 11.2 quarts of paint to paint a room with perimeter 40 feet and wall height 14 feet.
Area of room = 40(14)
Area of room = 560
She need to cover the walls of a room with perimeter 50 feet and wall height 15 feet
Area = 50(15)
Area = 750
Let q be the number quarts of paints
[tex]\frac{560}{750}[/tex] = [tex]\frac{11.2}q{}[/tex]
Cross multiplying,
560q = 11.2(750)
q = [tex]\frac{11.2(750)}{560}[/tex]
q = 15
She need 15 quarts to cover the walls of a room with perimeter 50 feet and wall height 15 feet.
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IIIO GEOMETRYVolume of a sphereThe radius, R, of a sphere is 6.2 m. Calculate the sphere's volume, V.Use the value 3.14 for n, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
The formula for calculating the volume of a sphere is expressed as
Volume = 4/3 x pi x radius^3
From the information given,
pi = 3.14
radius = 6.2
By substituting these values into the formula, we have
Volume = 4/3 x 3.14 x 6.2^3
Volume = 997.7999
Rounding to the nearest tenth,
Volume = 997.8 m^3
when a number is added to 18 the answer is the same as 59 mins 20. what is the number?
The location between the park and Ray's
home is indicated in the graph.
Each unit represents a mile.
What is the distance, in miles, from the
park to Ray's home, rounded to the
nearest tenth?
A 16.6
B 15.6
C 14.1
D 143
E 11.0
The answer to the question is A-
16.6
Answer:
A. 16.6
Step-by-step explanation:
d = sqrt{(x2 - x1)^2 + (y2-y1)^2}
so this is our distance formula
now we need the two points
(-6, -6) and (3, 8)
lets plug these into our formula
d = sqrt{(3 - (-6))^2 + (8 - (-6))^2}
lets simplify
d = sqrt{(9)^2 + (14) ^2}
d = sqrt{277}
d = 16.64 or 16.6
Problem 1
(3x - 4y = 0
(4x - 5y = k
Consider the following system of equations:
where k is a constant real number. Solve the system for (x, y) in terms of k. Do not replace
the constant k with a numerical value. Give your solution as an ordered pair in terms of k.
[For example: If you solve the system and obtain x = 2k and y = 5k + 1, then you would
write your solution as (2k, 5k + 1).]
The ordered pair is [4k , 3k]
In first equation, 3x - 4y = 0
∴ 3x = 4y
x = 4y/3. ----1
Placing the value of x in second equation:
4x - 5y = k
4[4y/3] - 5y = k
16y/3 - 5y = k
[tex]\frac{16y - 15y}{3}[/tex] = k
16y - 15y = 3k
y = 3k
Replacing the value of y in eq. 1, we get
x = 4k
∴ The ordered pair is [4k , 3k]
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