The cost of a pack of gum bought by Lionel is $2.1.
Let the variable g represent the cost of a pack of gum.
Let the variable c represent the cost of a candy bar.
Since Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80, a linear equation that models this situation is;
4c + 2g = 9.80 ......equation (1)
Additionally, two packs of gum cost the same as three candy bars:
2g = 3c ......equation (2)
c = 2g/3 ......equation (3)
Substituting equation (3) in equation (1), we get:
4(2g/3) + 2g = 9.80
8g/3 + 2g = 9.80
14g/3 = 9.80
14g = 29.4
= 29.4/14
= $2.1
The cost of a pack of gum is $2.1.
Read more about the equation:
brainly.com/question/15527616
#SPJ4
The complete question is -
Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80. Two packs of gum cost the same as three candy bars. Let g represent the cost of a pack of gum and c represent the cost of a candy bar. What is the cost of a pack of gum?
Twice the sum of a number and three is subtracted from six times a number
Answer: 2(x+6)=3(x-3)
Step-by-step explanation:
College administrators noticed that students who had higher high school GPAs tend to have higher college GPAs. The data in the table show various high school GPAs and college GPAs for a sample of students. A 2-column table with 16 rows. Column 1 is labeled High School G P A with entries 3.25, 3.5, 3.5, 3.25, 2.5, 4, 4, 3.5, 3.25, 3.5, 3.5, 4, 3, 3.5, 2.25, 2.5 Column 2 is labeled College G P A with entries 3.2, 3.0, 2.9, 3.0, 3.0, 3.0, 3.1, 3.1, 3.1, 3.0, 3.0, 3.1, 3.0, 3.1, 2.9, 2.8. Which scatterplot represents the student data? A graph titled high school and college G P A has H S G P A on the x-axis, and College G P A on the y-axis. Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8). A graph titled high school and college G P A has College G P A on the x-axis, and H S G P A on the y-axis. Points are at (2.8, 2.5), (2.9, 2.25), (2.9, 3.5), (3, 2.5), (3, 3), (3, 3.25), (3, 3.5), (3, 4), (3.1, 3.25), (3.1, 3.5), (3.1, 4), (3.2, 3.25). A graph titled high school and college G P A has H S G P A on the x-axis, and College G P A on the y-axis. Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8), (4, 3.2). A graph titled high school and college G P A has College G P A on the x-axis, and H S G P A on the y-axis. Points are at (2.8, 2.5), (2.9, 2.25), (2.9, 3.5), (3, 2.5), (3, 3), (3, 3.25), (3, 3.5), (3, 4), (3.1, 3.5), (3.1, 4), (3.2, 3.25).
Answer:
Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8)
Step-by-step explanation:
Given the data :
Column 1 High School G P A:
3.25, 3.5, 3.5, 3.25, 2.5, 4, 4, 3.5, 3.25, 3.5, 3.5, 4, 3, 3.5, 2.25, 2.5
Column 2 College G P A :
3.2, 3.0, 2.9, 3.0, 3.0, 3.0, 3.1, 3.1, 3.1, 3.0, 3.0, 3.1, 3.0, 3.1, 2.9, 2.8.
To prepare a scatter plot ; with x - axis plotted against y - axis ;
Each point on the x - axis is paired with a corresponding point on the y - axis ;
With high school GPA on the x axis and College GPA on y :
Values are paired in the form:
(X1, Y1),.. (Xn, Yn)
(3.25, 3.2)
Answer:
if your looking at the one with 4 different graphs the answer is A
Step-by-step explanation:
The box plot summarizes math text scores. What percent of the scored were between 71 and 96? Please hurry! I'm taking a test!
Answer:
i think 83 %
Step-by-step explanation:
Deshad runs a river tubing company that serves 300 customers a day during sunny, summer days. He knows that 45% of the customers rent life jackets. Suppose that Deshad calculates the daily proportion p ^ on top of customers who rent life jackets from his sample of 300. We can assume the customers each day represent a random sample
Here acccording to the question,We are examining the conditions under which the sampling distributions of the sample proportions given.
What is sampling distribution?
Sampling distribution is a statistic that determines the probability of an event based on data from a small group within a large population. Its primary purpose is to establish representative results of small samples of a comparatively larger population. Since the population is too large to analyze, you can select a smaller group and repeatedly sample or analyze them. The gathered data, or statistic, is used to calculate the likely occurrence, or probability, of an event.
Sampling distribution According to the given ScenarioWe are examining the conditions under which the sampling distributions of the sample proportions appear uniform, roughly normal, skewed to the left or skewed to the right.
When np10 and n(1p)10, where n is the sample size and p is the sample of proportions, are true, we know that the sampling proportions of the sample distributions will have a normal shape.
Aforementioned that our sample size is 300 people and that p = 0.45, we can use the given data to calculate
Successes anticipated: np= 300(0.45) = 135 10
Failures predicted: n(1p)=300 (10.45)=165 10
Since both of these statements are accurate, sample distribution sampling proportions will have a normal shape.
Because we anticipate each sample to have at least 10 successes and 10 failures, we have a normal sampling distribution.
As a result, the sample distribution has a roughly normal shape.
To know more about Sampling distribution refer to:
https://brainly.com/question/29368683
#SPJ4
Find the distance between the following two points: (3,-6) (-1,-8)
if the radius of a circle is 4.5, what is the area?
Answer:
63.62 is the area of the circle
Answer:
63.62
Step-by-step explanation:
A= PI x r2 (squared)
= pi x 4.5(squared)
= pi x 20.25
= 63.62 units2
Zachary plans to collect $0. 30 from each person that comes to the party to cover the cost of the candy.
How many people will need to come to the party to cover the entire cost of the candy
In order to pay for the sweets, Zachary intends to take $0.30 from each guest that attends the celebration. To pay for the total cost of the sweets, 4 guests are required to attend the party.
How much candy per person?We suggest 8 ounces of sweets per visitor when utilizing ounces. A 5 pound bag of candy will thus be enough to satisfy 10 people. The candy bar may have been distributed evenly in the following manner. Since there are four individuals, split each according to who will receive. About half a pound of sweets is given to each visitor. Therefore, you should buy 50 pounds of sweets at the very least if 100 people are expected.
Setting up the confectionery should minimize guest contact with it for hygienic reasons. Tongs and candy scoops in your theme-coordinating color should be provided for bulk candies. Since you don't want your guests to consume too much sugar, smaller serving utensils are preferred.
To learn more about evenly distribution refer to :
brainly.com/question/28006208
#SPJ4
Randy grows cherries to sell at local stores. All of the cherries he will sell are in the four boxes shown. Randy wants to send an equal number of pounds of cherries to 4 stores. Enter a fraction that shows how many pounds of cherries each store will receive. Enter your answer as a mixed number
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the 4 boxes are not given.
However, the general explanation is as follows;
From the question, we understand that Randy wants to send an equal amount to 4 different stores
This implies that, we calculate the average (mean) of the 4 boxes.
This is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
Assume that the number of cherry in the 4 boxes are: 25, 23, 28 and 27
The formula becomes
[tex]Mean = \frac{25 + 23 + 28 + 27}{4}[/tex]
[tex]Mean = \frac{103}{4}[/tex]
This implies that Randy will send 103/4 to each of the 4 stores.
The answer as a mixed number is:
[tex]Mean = 25\frac{3}{4}[/tex]
What is the volume of the rectangular prism?
Answer:
7/3 x 1 x 3 = 7 yd
Step-by-step explanation:
Multiply all 3 lengths by 1/3 then multiply all of them together since each and every one of those cubes are 1/3.
PLEASE HELP QUICKLY! IF 2 ANSWERS I WILL VOTE ONE BRAINLIEST
Answer:
15/3 =5 is the correct answer
Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
batch of hot chocolate is made with 21 teasoons of cocoa and 7 cups of milk.
How many teaspoons of cocoa are needed for every cup of milk?
On the double number line below, fill in the given values, then use
multiplication or division to find the missing value:
cups of milk
Answer:
Step-by-step explanation:
Ya
ASAP PLS PLS!!!!!!!!!!!!!
Answer:
60
Step-by-step explanation:
base times height
10 times 6
60
The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches. a). Taller than 64 inches b.) shorter than 62 inches c.) between 64 inches and 68 inches d.) between 58 and 68 inches e.) taller than 58 inches
Answer:
a) 0.59871
b) 0.22663
e) 0.95994
Step-by-step explanation:
The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 65 inches
σ is the population standard deviation = 4 inches
a). Taller than 64 inches
This means x > 64
Hence,
64 - 65/4
=- 1/4 = -0.25
P-value from Z-Table:
P(x<64) = 0.40129
P(x>64) = 1 - P(x<64) = 0.59871
b.) shorter than 62 inches
Hence,
62 - 65/4
=- 3/4 =- 0.75
P-value from Z-Table:
P(x<62) = 0.22663
c.) between 64 inches and 68 inches
Hence,
for 64 inches
64 - 65/4
=- 1/4 = -0.25
P-value from Z-Table:
P(x = 64) = 0.40129
For 68 inches
Hence,
68 - 65/4
= 3/4= 0.75
P-value from Z-Table:
P(x = 68) = 0.77337
d.) between 58 and 68 inches
e.) taller than 58 inches
Hence,
58 - 65/4
= -6/4 = -1.5
P-value from Z-Table:
P(x<58) = 0.040059
P(x>58) = 1 - P(x<58) = 0.95994
Distribute and then combine the like terms to simplify each expression.
8f - 6 (-5 - 7f)
please help
Answer: We start by distributing the -6 to the terms inside the parentheses:
8f - 6(-5) - 6(7f)
Then we simplify each term inside the parentheses:
8f + 30 + 42f
Now we combine like terms:
8f + 30 + 42f = 50f + 30
So the simplified expression is 50f + 30
Step-by-step explanation:
Lines m, n, and I are parallel. Line w intersects each line, as shown in the diagram below.
Based on the angle measures in the diagram, what is the value of x?
Answer:
120
Step-by-step explanation:
vertical angles are congruent :)
Henry sees a train with 8 cars. Each car has 5 windows
on the side that Henry sees. Which number sentence
can be used to find how many windows Henry sees
on the train in all?
Answer:
(8*5) * 2 = 80
Step-by-step explanation:
So first you want to find how many windows are on the side he sees and then you want to multiply that by 2 to get how many are on the train in total because we are assuming that each side has the same amount of windows so your answer is (8*5) * 2 = 80
Answer:40
Step-by-step explanation:
Well 8x5= 40
The ratio of the number of blue fish to the number of red fish at a pet shop is 2 to 3. There are 30 blue at the pet shop. How many red fish are at the pet shop?
Please no files!
2nd last question on my exam!! Someone please answer it
A 64 acre coconut farm is arranged in an 8 by 8 array. Mika wants to know the average number of coconut palms on each acre of land. The number in each cell tells how many coconut palms grow on that particular acre
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
Specify median.The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.
Here,
To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:
=> 48 + 38 + 47 + 48+ 43+ 34+ 64+ 54 + 53+ 67 = 443/10 =44.3
Hey fiddle fiddle the medians the middle
You add and divide for the mean
The mode is the one you so the most
And the range is the difference between them
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
To know more about mean and median , visit
brainly.com/question/28060453
#SPJ4
The solution of the given problem of median comes out to be
option (A) 44.3.
What is median?
The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.
Here,
To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:
=> 34 + 51 + 43 + 35 + 52 + 35 + 62 + 38 + 34 + 59 = 443/10 =44.3
Hey fiddle fiddle the medians the middle
You add and divide for the mean
The mode is the one you so the most
And the range is the difference between them
Therefore , the solution of the given problem of median comes out to be
A. 44.3.
To learn more about mean and median visit
brainly.com/question/28060453
#SPJ4
The complete question is:
A 64‐acre coconut farm is arranged in an 8‐by‐8 array. Mika wants to know the average number of coconut palms on each acre. Each cell in the table represents an acre of land. The number in each cell tells how many coconut palms grow on that particular acre.
45 54 40 34 44 66 32 65 66 33 42 36 33 51 50 35 51 45 66 33 47 43 66 61 46 35 48 67 60 59 52 67 46 32 64 35 55 47 61 59 45 48 53 62 55 58 51 41 48 38 47 48 43 34 64 54 53 67 44 59 58 48 62 45
The numbers in green represent Mika's random sample of 10 acres. What is the average number of coconut palms on the randomly selected acres? Round your answer to the nearest tenth. The average number of coconut palms is
A. 44.3
B. 49.3
Find the measure of the missing angles.
Answer:
Hello!
x = 39
y = 90
Hope this helps!
5.
4.2 cm
4.2 cm
square centimeters
The total area of triangle in square centimeters is 56.7cm squared .The three angles of the triangle add up to 180 degrees.
what is triangle ?The term "trigon" is occasionally (though not frequently) used to refer to a triangle, a 3-sided polygon. Every triangle consists of a set of three angles and three sides, some of which may be the same. The three angles of the triangle add up to 180 degrees. With three sides and three vertices, triangles are a specific type of polygon in geometry. The two-dimensional figure displayed here has three straight sides. A triangle is a type of 3-sided polygon.
here
Area of each triangles is 4.2 x 8.2 or 34.44.
There are two triangles, thus you don't need to divide by two.
In addition, 8.2 is obtained by deducting the top length from the overall length. (13.5-5.3)
rectangle: 22.26 x 5.3
56.7 square meters is the entire area.
To know more about triangle visit :-
https://brainly.com/question/2773823
#SPJ1
The correct question is
What is the area, in square centimeters, of the triangles are?
a) 5.3 cm
b) 4.2 cm
c) 13.5 cm
Write the standard equation of the circle.
Geometry b
The standard equation of the circle will be;
⇒ (x - 3)² + (y + 5)² = 16
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The circle is shown in figure.
Now,
Here, By the figure;
The radius of the circle = 7 - 3
= 4 units
And, The center of circle = (3, - 5)
We know that;
The standard equation of the circle is,
⇒ (x - h)² + (y - k)² = r²
Where, (h, k) = center and r is radius.
So, We get;
The standard equation of the circle is,
⇒ (x - 3)² + (y - (-5))² = 4²
⇒ (x - 3)² + (y + 5)² = 16
Learn more about the circle visit:
https://brainly.com/question/26594685
#SPJ1
What is the SHAPE of the 22nd figure?
The color of the 15th figure is green.
The shape of the 40th figure star.
The shape of the 22nd figure triangle.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
We have,
The pattern of shapes we get is:
circle - Triangle - Square - Star
The pattern of color we get is:
Purple - Red - Green
Now,
The color of the 15th figure.
= 15 is a multiple of 3
= 5 x 3
So,
Green will be the color of the 15th figure
Now,
The shape of the 40th figure.
= 40 is a multiple of 4
= 10 x 4
So,
Star will be the shape of the 40th figure.
Now,
The shape of the 22nd figure.
= 22 ÷ 4
We get 2 as the remainder.
So,
Triangle will be the shape of the 22nd figure.
Thus,
The 15th figure color is green.
The 40th figure is a star.
The 22nd figure is a triangle.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Calculate the perimeter of this shape.
10 cm
19 cmi
View One Minute Version
Overview
Penmeters
Type here to search
Answer: If it is a rectangle then the perimeter is 58 cm
Step-by-step explanation:
10x2= 20
19x2= 38
38+20= 58
Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related ?
O The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A.
O The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B.
O The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
O The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
To explain this using a formula, we can use the dilation formula. This formula states that for any point (x,y) on the original line (f), when dilated with a scale factor of k and the center of dilation is the origin (0,0), the coordinates of the point on the new line (f') would be (kx, ky).
For point A, which has coordinates (2,0) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point A' on line f' would be (3 * 2, 3 * 0) = (6, 0).
Similarly, for point B, which has coordinates (0,2) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point B' on line f' would be (3 * 0, 3 * 2) = (0, 6).
Since the two lines have the same slope, line f and line f' are parallel.
Learn more about parallel here:
https://brainly.com/question/16701300
#SPJ4
if t and m are positive integers and 2t+3m=8 what is the value of t
Answer: look at the picture
Step-by-step explanation: Hope this help :D
The value of m and t is 4- 3m/2 and 8/3 -2t/3.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.
Given:
2t+3m=8
For t:
2t= 8-3m
t= (8-3m)/2
t= 8/2 -3m/2
t= 4- 3m/2
For m:
3m= 8-2t
m= (8-2t)/3
m= 8/3 -2t/3
Learn more about Equation here:
https://brainly.com/question/10413253
#SPJ2
On a map, the distance from Langhorne to Tannersville measures 2 centimeters. What is the actual distance if the scale of the map shows that 1 centimeter is equal to 30 kilometers?
Answer:
I believe the answer is 60 kilometers.
Step-by-step explanation:
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
Answer:
[tex]A = \sqrt{89}[/tex]
[tex]B = \sqrt{145}[/tex]
Step-by-step explanation:
[tex]1)\ 8^2 + 5^2 = A^2[/tex]
[tex]2)\ A^2 = 64 + 25[/tex]
[tex]3)\ A^2 = 89[/tex]
[tex]4)\ A = \sqrt{89}[/tex]
[tex]1)\ B^2 + 12^2 = 17^2[/tex]
[tex]2)\ B^2 + 144 = 289[/tex]
[tex]3)\ B^2 = 145[/tex]
[tex]B = \sqrt{145}[/tex]
Answer:
a = 9.4
b = 12.0
Step-by-step explanation: For both of these problems, you need to use the Pythagorean Theorum since they are both right triangles, which is represented by the equation a^2+b^2=c^2. In this equation, "c" represents the hypotenuse of the triangle while both "a" and "b" represent the two other sides. In the first triangle, solve the equation 8^2+5^2=c^2 andf in the second triangle, solve the equation 12^2+b^2=17^2 since the hypotenuse is already given.
How do you find the slope of two points on a graph?
To find the slope of two points on a graph, use the formula:
[tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]
Substitute the coordinates of the two points into the formula and solve for the slope.
Finding the Slope of Two Points on a GraphThe slope of two points on a graph is a measure of how steep the line connecting the two points is. To find the slope, you can use the slope formula: [tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]
This formula requires the coordinates of the two points, which can be found on the graph. Once you have the coordinates, you can substitute them into the formula and solve for the slope. This will give you the slope of the line connecting the two points.
Learn more about slope of a line: https://brainly.com/question/16949303
#SPJ4