Suzy is shopping at a book sale. The table shows prices for paperbacks.
A two-column table with 3 rows. Column 1 is labeled Books (x) with entries 4, 6, 8. Column 2 is labeled Cost (y) with entries 6, 9, 12.
These points are graphed. Notice the pattern of the points. What is the rate?
The cost is $
for every 2 books.
Answers
Answer:
3 bucks
Step-by-step explanation:
The rate of change is 2 and the cost of two books is $3.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + C = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, Suzy is shopping at a book sale. The table shows prices for paperbacks.
The points are, (4, 6), (6, 8), and (8, 12).
Slope(m) = (12 - 8)/(8 - 6).
Slope(m) = 4/2.
Slope(m) = 2.
Now, 4 books cost $6, hence 2 books cost $3.
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Related Questions
What is the answer to this question?
Answers
Answer:
The answer is 480 in^3
Step-by-step explanation:
Right rectangular prism calc - find V
volume = h * w * l where h is prism height, w is its width and l its length.
Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.
Answers
Answer:
4
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex]r²h
Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]
Radius ≈ [tex]\sqrt{16}[/tex]
Radius ≈ 4
So, the radius is about 4 cm.
can someone help me with this I do not understand it?
Answers
Answer:
So, the first one is not proportional and therefore has no multiplier.
You are right on the second on both counts!
Step-by-step explanation:
You just need to divide the x's by the y's (individually) in order to determine what they are multiplied by. And the answers you get for the first one will be 5, 6, and 7. Because the numbers are different, they are not proportional.
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.
Answers
Answer:
129 1/3
Step-by-step explanation:
According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."
The outer perimeter is 129 1/3 feet.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.
So, there are $20/4
=5$ square posts on each side, not including the corner posts.
and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.
Then, the length of a side is
= 7 1/3 + 6(5)
= 32 1/3 feet
and, The perimeter of the square
= 4 x 32 1/3
= 129 1/3 feet
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Please help and explain. Thank you :)
Answers
Answer:
= 6^13
Step-by-step explanation:
6^3 • 6^10
= 6^3 • 6^10
= 6^(3 + 10)
= 6^13
Answer:D
Step-by-step explanation:
A. 6^3 * 6^10 = 6^13
It has the same base so you will make it stay the same and add the exponents.
Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is
his distance from school, in miles, at t minutes. Errol's friend Daniel lives 4 miles away from school. It
takes Daniel twice as long to get to school if he bike rides at the same pace as Errol. What can be said
about the graph of the equation that models Daniel's bike rides?
Answers
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
Given question is not complete: find the complete question with attachment
Errol's bike ride can be modeled by the equation,
[tex]d(t)=-\frac{1}{4}t+2[/tex]
Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,
[tex]d(t)=-\frac{1}{4}t+4[/tex]
Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
A 4-pound bag of apples costs $5.00. Based on that rate, which equation shows how y, the cost in dollars, is realted to x, the weight in pounds?
y = x - 1
y = 1.25x
y = 0.8x
y = x + 1
Answers
The answer would be B. y = 1.25x
If each pound is $1.25 and you get 4 pounds then that would equal to $5.00 or y.
Hope this helps !
y = 1.25 x equation shows the correct relation of x
What is linear graph?
Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.
According to the question,
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = k. x
k is constant of proportion
Four pounds of apples cost $5
5 = 4. k
k = 5/4 = 1.25
As it should be, k is a constant equal to 1.25
y = 1.25 x for 4 pounds of apples
Hence, y = 1.25 x equation shows the correct relation of x
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Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)
Answers
Answer:
C. (3x^2+4)(x+3)
Step-by-step explanation:
3x^3+9x^2+4x+12
=(3x^3+9x^2)+(4x+12)
=3x^2(x+3)+4(x+3)
=(3x^2+4)(x+3)
Therefore, C. (3x^2+4)(x+3)
The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 3x³ + 9x² + 4x + 12
Now, We can factor the polynomial as;
⇒ 3x³ + 9x² + 4x + 12
⇒ 3x² (x + 3) + 4 (x + 3)
⇒ (x + 3) (3x² + 4)
Thus, The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
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Which set of numbers is correctly ordered from least to greatest?
24 x 63
5.7 15.758,956 V
63
24 x
S
15.758
4.956 Ve
9566 15.753, 24, 49
63
956 /
15.758
24 x
5
Answers
Answer:
The set of numbers that is correctly ordered from least to greatest is 5.7, 15.758, 24, 49, 63. Is there anything else you would like to know?
0.00003
2 x 10-5
=
?
Answers
Answer:
[tex]0.00003=3[/tex]×[tex]10^{-5}[/tex]
[tex]2[/tex]×[tex]10^5[/tex] = [tex]200,000[/tex]
Step-by-step explanation:
When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:
0.00003
In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:
[tex]3[/tex]×[tex]10^{-5}[/tex]
The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:
[tex]2[/tex]×[tex]10^5[/tex]
Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:
200,000
The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21
Answers
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
B
Step-by-step explanation:
AC =
Round your answer to the nearest hundredth.
40°
Answers
5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8
Answers
Answer:
x = 4
Step-by-step explanation:
5x-50=30-15x
5x +15x =30+50
20x= 80
Divide both sides of the equation by 20
x = 4
I hope it helps
y = 5x – 6
Identify the y-intercept of the
following equation.
Answers
Answer:-6
Step-by-step explanation:
Answer:
ez
Step-by-step explanation:
6 negative
Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.
Answers
Answer:
Let's denote:
P(discount on 15 holidays) = P(A) = 0.87
P(discount on 100 weekends) = P(B) = 0.38
P(discount on 250 weekdays) = P(C) = 0.17
=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360
= 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360
= 0.26
Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:
P = 100/(100 + 250 + 15) = 0.27
Hope this helps!
:)
Answer:
1. 0.256
2. 0.406
Step-by-step explanation:
Total days:
15 + 100 + 250 = 365
P(more than 10% discount)
= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)
= 1871/7300
0.2563013699
P(weekend/more than 10% discount)
= (0.38×100/365) ÷ (1871/7300)
= 760/1871
0.4061998931
PLEASE HELP...SOLVE FOR VOLUME
Answers
Answer:
to get volume you have to do this base x height
Step-by-step explanation:
12 x 8 is 96 that the base
next base times height which is 1996.8 however since the shape is a triangle and not a square you have to divide by 2 so the answer is 998.4 m^2
Answer:
volume = 12* 19.2*8/2 = 921.6 m3
Step-by-step explanation:
20.8^ 2 - 8^ 2 = a^2 = 19.2^ 2
volume = 12* 19.2*8/2 = 921.6
Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours
Answers
Answer:
Car 1 and Car 4
Step-by-step explanation:
Car 1-70mph
Car 2-60mph
Car 3-64mph
Car 4-70mph
So, its Car 1 and Car4
Which statement best summarizes the main idea of the above passage from
"An Indian Father's Plea"?
A. Wind-Wolf learned much of what he learned from public school.
B. Wind-Wolf has a different educational background than many
other children.
O C. Wind-Wolf looks and acts differently than the other children in his
school.
D. Wind-Wolf will often answer questions at school using answers
he learned from those in his tribe.
Answers
Answer:
Had to look for the missing passage and here is my answer. Based on the passage from "An Indian Father's Plea", I can say that the statement that shows the best summary about this is option D: Wind–Wolf has begun denying his native culture because it conflicts with his school culture. Hope this helps.
Step-by-step explanation:
Which of the following is an example of a function
whose graph in the xy-plane has no x-intercepts?
A) A linear function whose rate of change is not
B) A quadratic function with real menos
© A quadratic function with no real xeros
D) A cubic polynomial with at least one real zero
Answers
Answer: Option C.
Step-by-step explanation:
A function goes trough the x-axis when f(x) = 0 for some value of x.
For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:
a*x^2 + b*x + c = 0
are complex roots, this means that for the function:
f(x) = y = a*x^2 + b*x + c
there is not a real number x such f(x) = 0
So the correct option is C.
The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
What is x-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.
The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,
[tex]y=f(x)[/tex]
Here, x is the roots of the function.
For no value of x-intercepts, the function become,
[tex]y=0[/tex]
[tex]f(x)=0[/tex]
Here, the zeros and roots are the same, where function become equal to zero.
Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
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Please tell me the answer quick
Answers
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
The question is in the screenshot attached. Thank you!
Answers
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
Factor the polynomial.
216x^3-64
Answers
The table and the graph below each show a different relationship between the same two variables, x and y:
How much more would the value of y be on the graph than its value in the table when x = 12?
A. 20
B. 90
C. 150
D. 180
Answers
Answer:
The answer is A.
Step-by-step explanation:
thats what i think
Which of the following statements is not true?
Answers
What is the volume of the following rectangular prism?
Answers
Answer:
529 units squared
Step-by-step explanation:
Will give brainliest answer
Answers
Answer
Step-by-step explanation:
To find the area of a shape multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
please mark me as brainliest.
Answer:
[tex]7 units^2[/tex]
Step-by-step explanation:
You can split this irregular shape into a square and a trapezoid.
The formula for a square is:
[tex]A=lw[/tex]
The formula for a right trapezoid:
[tex]A=\frac{1}{2} (h)(a+b)[/tex]
Area of square:
[tex]A=(2)(2)\\A=4[/tex]
Area of right trapezoid:
[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]
Add up the individual areas to find the overall:
4 + 3 = 7
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answers
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
If cos A = 12/13 , and ∠A is in the fourth quadrant, find the exact value of sin2A.
Answers
Answer: 0.71
Step-by-step explanation:
we have that cos(A) = 12/13
then:
A = Acos(12/13) = 22.62°
But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°
Then Sin(2A) = sin(2*202.62°) = 0.71
-3x+1/2=3/8
Whats x? pls someone help step by step
Answers
Answer:
x = -1/24 = -0.042
Step-by-step explanation:
Step 1 : Simplify 3/8
Step 2 :
Rewriting the whole as an Equivalent Fraction
Step 3 :
Calculating the Least Common Multiple
Equation at the end of step 3 :
24x + 1
——————— = 0
8
Last step:
Solving a Single Variable Equation :
5.2 Solve : 24x+1 = 0
Subtract 1 from both sides of the equation :
24x = -1
Divide both sides of the equation by 24:
x = -1/24 = -0.042
Hope this helps.
Plz help plzzzzzzzzz
Answers
Answer:
47.13cm
Step-by-step explanation:
2×3.142×7.5cm
Answer:
47.13
Step-by-step explanation:
c=2πr
c=2×3.142×7.5cm
c=6.284×7.5cm
c=47.13cm
