The special at Big Bob's Pizza which will give you more pizza for your money is Choice #1. Per square inch, Choice #1 will cost less and give more overall pizza at $0.10 a square inch then Choice #2 at $0.13 per square inch. You can find more pizza for your money, by using the area formula for a circle for each pizza and finding the price per square inch of each serving. This is called a unit rate and is the cost per unit.
Further Explanationa. Find the radius of each pizza.
Since a pizza is a circle shape, it has a diameter and radius. The diameter is the distance across the pizza and the radius is half the diameter. We use the radius to find the area.
Choice #1: One slice of a pizza with a 22 inch diameter and is cut into 8 slices. Since the diameter is the distance across the pizza, 22 inch diameter means the pizza is 22 inches wide. The area formula uses the radius or half the diameter. The radius of choice #1 is 11 inches.Choice #2: An entire personal-size pizza that has a diameter of 6 inches. Here the radius is half of 6 inches. The radius of choice #2 is 3 inches.b. Find the area of each pizza using [tex]A = \pi r^{2}[/tex].
Choice #1: Substitute r = 11 into the formula then divide by 8 to find the area of one slice or serving.[tex]A = \pi r^{2} \\A = \pi (11)^{2} \\A = 121\pi \\A= 379.94[/tex]
The area of one slice is [tex]\frac{379.94}{8} = 47.49.[/tex]
Choice #2: Substitute r = 3 into the formula. This is a personal pizza so the entire pizza is a serving.[tex]A = \pi r^{2} \\A = \pi (3)^{2} \\A = 9\pi \\A= 28.26[/tex]
c. Divide each area by the price.
The cost of Choice #1 is $4.95. Since the serving size is 1 slice, use the area of the slice 47.49. Divide it into the price to find the cost per square inch of one serving.[tex]\frac{4.95}{47.49} = 0.10[/tex]
The cost of Choice#2 is $ 3.75. Since the serving serving size is the entire personal pizza, use the area of the pizza 28.26.[tex]\frac{3.75}{28.26} = 0.13[/tex]
Learn More Area and Circumference of a Circle Application: https://brainly.com/question/3519879 Cost per unit: https://brainly.com/question/11521316Answer DetailsGrade: 8th Grade
Subject: Geometry
Chapter: Applications for Area of Shapes
Keywords: circle, area, radius, diameter, cost, unit rate
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According to the SMART goals method, goals should be
A. Clearly defined.
B. Easy to achieve
C. Similar to your peers' goals.
D. Flexible.
According to the SMART goals method, goals should be clearly defined, aligning with the "Specific" attribute of the SMART acronym. This means having a clear and direct aim for the goal, which is essential for effective goal-setting.
Explanation:According to the SMART goals method, goals should be clearly defined. SMART is an acronym that stands for Specific, Measurable, Attainable, Relevant, and Time-bound. Each of these attributes plays a crucial role in the formulation of effective and actionable goals.
Specific means the goal should be clear and direct, detailing exactly what is expected to be achieved. A goal that is Measurable has quantifiable criteria to indicate progress or completion. Attainable refers to the goal being realistic and possible to achieve given current resources and constraints.
Being Relevant means the goal aligns with broader objectives and makes sense within the greater plan. Lastly, Time-bound means there is a specific deadline or period within which the goal should be accomplished.
Therefore, the correct choice is A. Clearly defined, as a SMART goal must be specific and this inherently means the goal should have a clear definition.
If you apply the changes below to the linear parent function f(x)=x what is the equation of the new function vertically compress by 1/4 over the y-axis
Answer: It moves the graph down by 1/4
Step-by-step explanation:
I used demos and the graph had a change making it lower coordinates by a fourth.
Please answer this question correctly for 24 points and brainliest!!
Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
_____
Check
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
Which of the following equations is an example of inverse variation between
the variables x and y?
For this case we have that by definition, a direct variation is given by:
[tex]y = kx[/tex]
Where:
k: It is the constant of proportionality of the variables.
On the other hand, we have that the inverse variation is given by:
[tex]y = \frac {k} {x}[/tex]
Where:
k: It is the constant of proportionality of the variables.
In this way, the correct option is: [tex]y = \frac {9} {x}[/tex]
ANswer:
Option A
Answer: Option A
[tex]y = \frac{9}{x}[/tex]
Step-by-step explanation:
It is said that two variables x and y vary inversely if the increase of one of the variables causes the other to decrease.
This is represented by the following equation
[tex]y = \frac{k}{x}[/tex]
Where k is known as variation constant
To answer this question, identify among the options given that the form has
[tex]y = \frac{k}{x}[/tex]
The answer is the option A. with k = 9
Help with this question, please!!
Answer:
12.85 inches
Step-by-step explanation:
Angle ACP = Angle DPB = 92 degrees
because they are vertical angles
We are finding arc length, which is circumference
C = 2* pi *r
but we are only find 92 degrees of the 360 in a circle
C = 2 * pi * r * 92/360
= 2 * pi *8 *92/360
= 4.09 pi inches
= 12.84562329
= 12.85 inches
Answer:
Last answer
4.09 π
Step-by-step explanation:
Assuming CD and AB are straight lines and P is the center of the circle,
∠BPD = ∠CPA = 92°
r = 8 in
Minor Arc Length BD,
= (92/360) * 2πr
= (92/360) * 2π(8)
= 4.09 π
Form the perfect square trinomial in the process of completing the square. What is the value of c?
x²+3x+c=7/4+c
C = ?
Could you explain?
No "spam" answers, please!
Thank you!
Answer:
9/4
Step-by-step explanation:
For a perfect square trinomial x² + bx + c, the value of c is the square of half of b.
c = (b/2)²
Here, b = 3.
c = (3/2)²
c = 9/4
Eight white balls and twenty black balls are in a bag. What is the probability of drawing a black ball in one draw?
01
O
2/5
O
5/7
Answer:
The correct answer is last option
5/7
Step-by-step explanation:
It is given that, eight white balls and twenty black balls are in a bag
To find the probability
From the above data we get,
number of white balls = 8
Number of black balls = 20
total number of balls = 8 + 20 = 28
Probability of getting black ball = number of black ball/Total number of balls
= 20/28 = 5/7
The correct answer is last option
5/7
If a preterm birth is anticipated, at what temperature should the room be set? 26ºc to 28ºc (79 ºf - 82 ºf) 20ºc to 30ºc (68 ºf - 86 ºf) 24ºc to 27ºc (75 ºf – 80 ºf) 23ºc to 25ºc (74° f – 77° f)
Answer:
23ºC to 25ºC (74° F - 77° F)
Factor the polynomial.
8g + 16h
Answer:
[tex]8g+16h=8(g+2h)[/tex]
Step-by-step explanation:
The given expression is
[tex]8g+16h[/tex]
To factor this polynomial, we just need to extract the common factor. Or you can see as the greatest common factor.
What is the greatest common factor between 8 and 16?
16: 1, 2, 4, 8, 16.
8: 1, 2, 4, 8.
You can observe that the greatest common factor is 8, so we extract it from both numbers
[tex]8g+16h=8(g+2h)[/tex]
Notice that we placed the GCM in the front as a product, if we don't do that, it would be completely wrong, because we can change the equivalence of the expression. Now, notice that each variable have different coefficients, that is because if you extract the GCM, you need to placed its quotients as coefficients.
Therefore, the factor of the polynomial is
[tex]8g+16h=8(g+2h)[/tex]
Given sinA=9/√97 and that angle A is in Quadrant I, find the exact value of cos A in simplest radical form using a rational denominator.
Answer:
cos(A) = (4√97)/97
Step-by-step explanation:
The cosine is related to the sine by ...
cos(A)² = 1 - sin(A)²
cos(A)² = 1 - (9/√97)² = 1 - 81/97 = 16/97 . . . . substitute for sin(A), simplify
Make the denominator a square:
cos(A)² = (16·97)/97²
cos(A) = (4√97)/97 . . . . . square root
The exact value of cos A can be determined using the Pythagorean identity. In this case, cosA = 4√97/97, which is the exact value of cos A in simplest radical form with a rational denominator.
Explanation:In mathematics, the exact value of cos A can be determined using the Pythagorean identity, sin²A + cos²A = 1.
According to the problem, sinA = 9/√97, which when squared gives 81/97. Using the Pythagorean identity, we can substitute the value of sin²A to get cos²A. Hence, cos²A = 1 - sin²A = 1 - 81/97 = 16/97. The exact value of cos A, then, is the square root of 16/97. As A is in Quadrant I where cosine is positive, this will be √(16/97).
In order to write this value with a rational denominator, multiply and divide by the square root of the denominator (√97). Hence, cosA = 4√97/97, which is the exact value of cos A in simplest radical form with a rational denominator.
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find the equation of the line parallel to y=2x+6 passing through (4,5)
Answer:
y=2x-3
when two lines are parallel, they have the same slope.
in the formula y=mx+b, m=slope of the line
we know 2 will be the slope for the line passing through (4,5)
next plug in (4,5) into the formula with 2 as the slope
4=x 5=y
next 5=2(4)+b
and you end up with
y=2x-3 when you simplify
PLZZ! HELP WITH THIS! WILL GIVE BRAINLLEIST! PROMISE! AND 11 POINTS! FOR A SIMPLE ANSWER! THANKS TO ANYONE WHO ANSWERS THIS! HURRY!! PLZZ
A farm is to be built in the shape of quadrilateral ABCD, as shown below.
All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 12.6 feet and diagonal BD equal to 10.4 feet.
What is the area of the farm?
32.76 square feet
46 square feet
65.52 square feet
92 square feet
Answer:
65.52 square feet
Step-by-step explanation:
to find area of a rhombus with the diagonals multiply them together and divide by two.
10.4 x 12.6 = 131.04
131.04/2 = 65.52 square ft
There are approximately 3.6 million deaths per year in country A. Express this quantity as deaths per minute.
Answer:
Approximately 7 deaths per minute.
Step-by-step explanation:
There's 365 days in a year, there's 24 hours in a day, and there's 60 minutes in one hour. 3.6 Million/ 365 days = 9,863 deaths per day 9,863 deaths per day/ 24 hours = 411 deaths per hour 411 deaths per hour/ 60 minutes = Approximately 7 deaths per minuteJalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?
Answer:
The height does not lie on the base because it is perpendicular to the base.
Step-by-step explanation:
Jalen's error is that the height of a cone does not lie entirely at the base of the cone. Only the diameter and the radius lie entirely on the base of a cone.
What is a cone?A cone is a three-dimensional object that tapers smoothly from a flat circular base to its vertex. The diameter of a circle is a straight line that touches two points on the circumference of a circle and also passes through the center. The radius is half of the diameter.
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Test the number -7 to determine if it is a solution to the equation 4p - (p + 9) = 5p + 5.
Plug -7 in for where ever you see the variable p if the final answer is equal to each other then -7 is a solution to the equation
4 × (-7) - (-7 + 9) = 5 × (-7) + 5
Use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
Parentheses
4 × (-7) - (-7 + 9) = 5 × (-7) + 5
4 × (-7) - 2 = 5 × (-7) + 5
There are no exponents so go to the next step
Multiplication (apply this from left to right)
4 × (-7) - 2 = 5 × (-7) + 5
-28 - 2 = 5 × (-7) + 5
-28 - 2 = 5 × (-7) + 5
-28 - 2 = -35 + 5
There is no division so go to the next step
Addition
-28 - 2 = -35 + 5
-28 - 2 = -30
Subtraction
-28 - 2 = -30
-30 = -30
-30 = -30
-7 is a solution to this equation because when evaluated both sides equals -30
Hope this helped!
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Imagine if you're in a room filling up with water. there are no windows/doors and you can't break anything, how do you get out?
Answer:
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A sign language club made $627.50 from selling popcorn at a festival. The popcorn cost the club $95.00. Which expression represents the amount of money that was raised for each member of the club?
its D. 2.95x+39.95(12)
Answer:
$532.50 / (number of members)
Step-by-step explanation:
Let m represent the number of members.
The net income (after subtracting the cost of the popcorn) was $532.50.
Thus, the amount of $ raised per member of the club was $532.50/m
Answer
(627.50-95)/m
Step-by-step explanation:
got 100%
please help asap will mark brainliest
Answer: 1/20, or 0.05
Step-by-step explanation: What we have to do is figure out how many times the blue shades area goes into the total area. Horizontally, it would be 5/10 squares, or 1/2. Vertically, it is 5/50 squares, or 1/10. Multiplying 1/2 and 1/10 gives us 1/20, or 0.05 as your answer.
Please help, never had a question like this before
Answer:
22.3 km²
Step-by-step explanation:
you are given the diameter is 5[tex]\frac{1}{3}[/tex] km
radius = 1/2 x 5[tex]\frac{1}{3}[/tex] = 2.667 km
area = π * radius² = 3.142 * 2.667² = 22.3 km²
See attachment for solution steps and answer.
An urn contains different colored marbles. The probability of drawing two green marbles from the urn without replacement is 3/20 , and the probability of drawing one green marble is 2/5 .
What is the probability of drawing a second green marble, given that the first marble is green?
3/50
1/2
3/8
1/5
The probability of drawing a second green marble, given that the first marble is green is:
[tex]\dfrac{3}{8}[/tex]
Step-by-step explanation:Let A denote the event that first marble is green.
B denote the event that the second marble is green.
A∩B denote the event that both the marbles are green.
Let P denote the probability of an event.
We are asked to find:
P(B|A) i.e. probability of drawing a second green marble, given that the first marble is green.
We know that:
[tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}[/tex]
Probability of drawing one green marble is 2/5 i.e.
[tex]P(A)=\dfrac{2}{5}[/tex]
The probability of drawing two green marbles from the urn without replacement is 3/20 i.e.
[tex]P(A\bigcap B)=\dfrac{3}{20}[/tex]
Hence, we have:
[tex]P(B|A)=\dfrac{\dfrac{3}{20}}{\dfrac{2}{5}}\\\\\\i.e.\\\\\\P(B|A)=\dfrac{3\times 5}{20\times 2}\\\\\\P(B|A)=\dfrac{3}{8}[/tex]
Answer:
3/50
Step-by-step explanation:
NEED HELP WITH A MATH QUESTION
Answer:
[tex]\dfrac{18}{5}<x<4\\ \\3.6<x<4[/tex]
Step-by-step explanation:
The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.
Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality
15<5x-3<17
Add 3 to this inequality
15+3<5x-3+3<17+3
18<5x<20
Divide it by 5:
[tex]\dfrac{18}{5}<x<4\\ \\3.6<x<4[/tex]
What is the area of the parallelogram?
48 sqrt(3)cm2
48 cm2
24 sqrt (3) cm2
24 cm2
Answer: 48cm2
Step-by-step explanation:
area = base x height
a = 8 x 6
a = 48
Annual high temperatures in a certain location have been tracked for several years. Let
X represent the year and Y the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places).
y=________
x=________
Answer:
Y= 19.86 - 0.42b
Step-by-step explanation:
Step 1: Write the formula
Regression Line: Y = a + bx
a=(Total Y) x (Total X^2) - (Total X) x (Total XY)
n x (total X^2) - (Total X)^2
b= n x (Total XY) - (Total X) x (Total Y)
n x (total X^2) - (Total X)^2
Step 2: Make a table to find all values
X Y X^2 Y^2 XY
5 17.19 25 295.4961 85.95
6 19.12 36 365.5744 114.72
7 16.75 49 280.5625 117.25
8 15.58 64 242.7364 124.64
9 16.21 81 262.7641 145.89
10 14.14 100 199.9396 141.1
11 14.97 121 224.1009 164.67
12 16.2 144 262.44 194.4
68 130.16 620 2133.614 1088.62 TOTAL
Step 3: Substitute all values in the equation to find a and b
a=(Total Y) x (Total X^2) - (Total X) x (Total XY)
n x (total X^2) - (Total X)^2
a= (130.16 x 620) - (68 x 1088.62)
8 x (620) - (68)^2
a = 80699.2 - 74026.16
336
a = 19.86
b = n x (Total XY) - (Total X) x (Total Y)
n x (total X^2) - (Total X)^2
b = 8 x (1088.62) - (68 x 130.16)
8 x (620) - (68)^2
b = 8708.96 - 8850.88
336
b = -0.42
Step 4 : Apply values of a and b in the formula of the regression line.
Regression Line: Y = a + bx
Y= 19.86 + b (-0.42)
Y= 19.86 - 0.42b
The regression line is calculated using the 'least squares method'. The formula is Y=a+bX, where a is the Y-intercept and b is the slope. These are calculated from the X and Y data values using specific formulas.
Explanation:To calculate the regression line from the given X (year) and Y (high temperature) values, we first need to know the specific data. Unfortunately, the data isn't provided in the question. However, I can explain the process to you.
A regression line, also known as the line of best fit, is a straight line that best represents the data on a scatter plot. This line can be calculated using the 'least squares method'. This method minimizes the sum of the squares of the residuals (the differences between the actual and predicted Y values).
The formula for the regression line is Y=a+bX, where:
a is the Y-intercept, calculated as (average of Y Values) - b * (average of X Values) b is the slope of the line, calculated as [N * (sum of XY) - (sum of X) * (sum of Y)] / [N * (sum of X²) - (sum of X)²]. Note that N is the number of data points.
You can plug in your X and Y data values into these equations to find your regression line.
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3(2x-4)- 4x+7<9 solve fr x
Answer:
x < 7
Step-by-step explanation:
Simplify ...
6x -12 -4x +7 < 9
2x < 14 . . . . . . . . . . . add 5
x < 7 . . . . . . . . . . . . . divide by 2
PLEASE HELP ME ON THIS, I WILL APPRECIATE IT SO MUCH!!!! TYSM
1.
[tex]|\Omega|=15^2=225\\|A|=5\cdot4=20\\\\P(A)=\dfrac{20}{225}=\dfrac{4}{45}[/tex]
2.
[tex]|\Omega|=15^2=225\\|A|=6\cdot5=30\\\\P(A)=\dfrac{30}{225}=\dfrac{2}{15}[/tex]
What is the image of point (9, -9) for mapping (x, y) , (x + 2, y + 2).
Answer:
(11 , -7)
Step-by-step explanation:
Note that x = 9, y = -9. Plug in the corresponding numbers to the corresponding variables.
(x + 2, y + 2)
(9 + 2, -9 + 2)
Simplify.
(11, -7)
(11 , -7) is your image point.
~
Which equation can be used to represent three minus the difference of a number and one equals one-half of the difference of three times the same number and four”?
Answer:
3 - (n -1) = (1/2)(3n -4)
Step-by-step explanation:
three minus the difference of a number and one: 3 - (n -1)
one-half of the difference of three times the same number and four: (1/2)(3n -4)
These two expressions are said to be equal, so the equation is ...
3 - (n -1) = (1/2)(3n -4)
Answer:
Step-by-step explanation:
D
Which of the following functions is represented by the graph below?
a. y = 3 cos (1/2)x
b. y = -3 cos (1/2)x
c. y = 2 sin (1/3)x
d. y = -2 sin (1/3)x
Answer:
A. y = 3 cos (1/2) x.
Step-by-step explanation:
The y-intercept is 3 so it will contain 3 cos x (because y = cos x passes through (0, 1).
The graph of 3 cos x has been stretched horizontally by a factor 2 ( 3 cos x would pass through (π/2, 0) whereas the given graph passes through (π, 0).
So the equation is 3 cos(1/2) x
The function which represents the graph is A. y = 3 cos (1/2) x.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The y-intercept is 3 so it will contain 3 cos x (because y = cos x passes through (0, 1).
The graph of 3 cos x has been stretched horizontally by a factor of 2 ( 3 cos x would pass through (π/2, 0) whereas the given graph passes through (π, 0).
Therefore the function which represents the graph is A. y = 3 cos (1/2) x.
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URGENT PLEASE HELP ME WITH THIS MATH QUESTION
Answer:
10.4 cm
Step-by-step explanation:
In this question apply the formulae for volume of a pyramid
General formulae for volume of a pyramid is = l*w*h /3 where l is base length, w is base width and h is height.
In this question l=w= 6cm, v=120 cm³ and h=? ,
Apply the formulae
[tex]V= l*w*h /3\\\\120=6*6*h/3\\\\120=12h\\\\120/12 =h\\\\10cm=h[/tex]
Slant height
The length = 6cm-----------------divide by 2 to get half the legth
a=6/2=3cm
h=b= 10cm
c=?
apply the Pythagorean relationship
a²+b²=c²
3² + 10²= c²
9+100=c²
√109=c²
c=10.44
slant height =10.4 cm
Answer:
Slant height of pyramid = 10.4 m
Step-by-step explanation:
Points to remember
Volume of square pyramid = a²h/3
Where 'a' is the side of base and h is the height of pyramid
To find the height of pyramid
It is given that volume of square pyramid = 120 cm³ and
base a = 6 cm
a²h/3 = 120
h = (120 * 3)/a²
= (120 * 3)/6²
=10 cm
Therefore h = 10 cm
To find the slant height of pyramid
By using Pythagorean theorem we can write,
slant height ² = (base/2)² + height²
l² = (a/2)² + h²
= (6/2)² + 10²
= 3² + 10²
= 9 + 100
=109
l = √109 = 10.44 ≈ 10.4
Rodney is helping to make hamburgers for the football game. He's made 10 hamburgers so far. His coach asked him to make at least 30 hamburgers but no more than 80. Solve the inequality and interpret the solution.
30 ≤ x + 10 ≤ 80
20 ≥ x ≥ 70; Rodney needs to make less than 20 more hamburgers or more than 70.
40 ≤ x ≤ 90; Rodney needs to make at least 40 more hamburgers but no more than 90.
40 ≥ x ≥ 90; Rodney needs to make less than 40 more hamburgers or more than 90.
20 ≤ x ≤ 70; Rodney needs to make at least 20 more hamburgers but no more than 70.
Answer:
Option D (20 ≤ x ≤ 70; Rodney needs to make at least 20 more hamburgers but no more than 70).
Step-by-step explanation:
The given inequality is 30 ≤ x + 10 ≤ 80 . There are basically two inequalities. One is 30 ≤ x + 10 and x + 10 ≤ 80. x is the number of hamburgers that are to be made, 10 is the number of hamburgers already made, 30 is the lower limit of the hamburgers required, and 80 is the upper limit of the hamburgers required. The question requires to solve the inequality. To solve this, the inequality will be separated as done above.
1)
30 ≤ x + 10.
20 ≤ x.
2)
x + 10 ≤ 80.
x ≤ 70.
Now combining the two inequality gives:
20 ≤ x ≤ 70. So Rodney needs to make at least 20 more hamburgers but no more than 70. Therefore, Option D is the correct answer!!!
Answer:
20 ≤ x ≤ 70; Rodney needs to make at least 20 more hamburgers but no more than 70
Step-by-step explanation:
Let
x ----> the numbers of hamburgers that Rodney needs to make
we know that
[tex]x+10\geq 30[/tex] ----> inequality A
[tex]x+10\leq 80[/tex] -----> inequality B
Solve the inequality A
[tex]x\geq 30-10[/tex]
[tex]x\geq 20\ hamburgers[/tex]
Solve the inequality B
[tex]x\leq 80-10[/tex]
[tex]x\leq 70\ hamburgers[/tex]
so
The solution of the system of inequalities is the interval
[20,70]
[tex]20 \leq x \leq 70[/tex]
All whole numbers greater than or equal to 20 hamburgers and less than or equal to 70 hamburgers
therefore
Rodney needs to make at least 20 more hamburgers but no more than 70.