Rafael is buying 1 and 3 over 8 pounds of salad at a salad bar that charges the amount shown. Salad bar: $6.80/lb
(1) Show that the amount of salad is a rational number.
(2) Write the amount of salad as a decimal.
(3) What will Rafael pay for the salad?
Please, please, please... please help me on this.
After you answer, please explain. Be reasonable, and please try.
Answers
Answer: for 2 it is 1.375 and for 3 it is 9 dollars and 55 cents
Step-by-step explanation:
Related Questions
For an equation of the form ax^2 + bx+ c = 0, where the graph crosses the y-axis once and does not intersect the x-axis. Describe the solution(s) of the equation.
(picture)
Answers
Answer:a
Step-by-step explanation:
The solution to the equation ax² + bx + c = 0 , has a graph that crosses the y-axis once and does not intersect the x-axis, then the equation has one real root and two complex conjugate roots that lie on either side of the axis of symmetry.
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
If the graph of the equation ax² + bx + c = 0 crosses the y-axis once, it means that the equation has one real root. This is because when x = 0, the equation becomes:
c = 0² + 0 + c = c
Therefore, the point (0, c) is on the y-axis, which means the graph crosses the y-axis once.
If the graph does not intersect the x-axis, it means that the discriminant b² - 4ac is negative. This is because the discriminant determines the nature of the roots of a quadratic equation, and when it is negative, the roots are complex (not real) and the graph does not intersect the x-axis.
So, the solution(s) of the equation ax² + bx + c = 0 are:
x = (-b ± √(b² - 4ac)) / 2a
Since the discriminant is negative, the term inside the square root is negative, and there are no real solutions for x. Instead, the solutions are complex conjugates of the form:
x = (-b ± i√(4ac - b²)) / 2a
where i is the imaginary unit. Since the real part of these solutions is -b/2a, which is the axis of symmetry of the parabola, and the parabola does not intersect the x-axis, the complex roots will be a conjugate pair that lie on either side of the axis of symmetry.
Hence , the quadratic equation is solved
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Which makes this statement true
< > =
/-5/ /2/
Answers
Answer:
I believe the correct answer is (>)
Grant uses 3 pounds of ground beef to make 12 hamburger patties.
What is the rate of pounds per patty?
Responses
9 poundspatty9 poundspatty
0.25 poundspatty0 point 2 5 poundspatty
4 poundspatty4 poundspatty
15 poundspatty15 poundspatty
Answers
Answer:
0.25
Step-by-step explanation:
pleeeeeeeese help Bob had 612qt of paint. He used 323qt to paint a room
How much paint does Bob have left?
Enter your answer in the box as a mixed number in simplest form.
Answers
Answer:
2 5/6
Step-by-step explanation:
I subtracted:
6 1/2 - 3 2/3 = 2 5/6
An angle measures 64.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:The supplementary angle measures 58 degrees
The angle measures 122 degreesAnswer:
58 degrees is the answer
Step-by-step explanation:
Otis measured the heights of several sunflowers. He found that their heights were 2,3,5,7, and 8 feet. Otis found that the mean was 5 feet and the range was 6 feet. Which numbers describe the center and spread of this data set? A. 6 feet describes the center, and 5 feet describes the spread. B. 8 feet describes the center and 2 feet describes the spread C. 5 feet describes the center, and 6 feet describes the spread D. 2 feet describes the center and 8 feet describes the spread.
Answers
Answer:
c
Step-by-step explanation:
The solution is : 6 feet describes the center, and 9 feet describes the spread
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
The center of a data set is mostly considered as the median or the mean
Here mean is 6 (given). And median is also 6.
As 6 is exactly at the middle of the data set. (When arranged in ascending order)
Now, one of the way of calculating the spread is calculating the range, here it's given that the range is 9.
Therefore, 6 feet describes the center, and 9 feet describes the spread is correct.
To learn more on median click:
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what is the answer i need answers now like right now
Answers
Answer:
middle option: 2(f + 5)
Step-by-step explanation:
The distributive property states that:
A(B + C) = AB + AC
Therefore,
2f + 10
= 2f + 2(5)
= 2(f + 5)
Answer: 2(f+10)
Step-by-step explanation:
Write the equations of each line in slope-intercept form. (y=mx+b)
Answers
The slope-intercept form of the equation of a line is given by:
y = mx + b
where m is the slope of the line, and b is the y-intercept.
To find the equation of a line in slope-intercept form, we need to determine the values of m and b.
Here are two examples:
The line passes through the points (2, 4) and (4, 8).
To find the slope, we use the formula:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) = (2, 4) and (x2, y2) = (4, 8)
m = (8 - 4)/(4 - 2) = 2
To find the y-intercept, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where (x1, y1) is one of the points on the line, for example, (2, 4).
y - 4 = 2(x - 2)
y - 4 = 2x - 4
y = 2x + 0
Therefore, the equation of the line in slope-intercept form is y = 2x.
The line passes through the point (3, 7) and has a slope of -3.
We can use the point-slope form of the equation of a line to find the equation in slope-intercept form.
y - y1 = m(x - x1)
where (x1, y1) is the given point, (3, 7), and m is the slope, which is -3.
y - 7 = -3(x - 3)
y - 7 = -3x + 9
y = -3x + 16
Therefore, the equation of the line in slope-intercept form is y = -3x + 16
Answer:
The equation would be y = -2x + 19
Step-by-step explanation:
To find this, we can use the point and the slope in point-slope form. The we solve for y.
y - y1 = m(x - x1)
y - 7 = -2(x - 6)
y - 7 = -2x + 12
y = -2x + 19
Gerard is calculating the area of a composite figure. The figure is made up of a square with side lengths of 6 centimeters (cm) and a triangle with a base of 6 cm and a height of 3.5 cm.
Gerard multiplies 6 by 3.5 to get that the area of the figure is 21 cm2, which is not the correct area.
Which statement correctly describes how Gerard could have found the correct answer?
-He should have found the area of the square, 36 cm2, and added it to the area of the triangle, 27 cm2, to get 63 sq. cm.
-He should have added 6 to 3.5 to get 9.5 sq. cm.
-He should have multiplied 21 by 12 to get 10.5 sq. cm.
-He should have found the area of the square, 36 cm2, and added it to the area of the triangle, 10.5 cm2, to get 46.5 sq. cm.
HELP PLEASEEE
Answers
Answer:
6.5
Step-by-step explanation:
I took the test
Lat question of the day!!!!!! Help once again pls cause the horrid monster math is back.
Data are collected about the amount of time, in minutes, each band member spends practicing. How does a single outlier change the lower and upper quartiles of the collected data?
A:A single outlier causes the values of the quartiles to move slightly toward each other.
B:A single outlier causes the values of the quartiles to move slightly away from the outlier.
C: A single outlier doubles the values of the quartiles.
D:A single outlier does not affect the values of the quartiles.
Is it A,B,C or D???
Answers
A single outlier does not affect the values of the quartiles.
Step-by-step explanation:
The interquartile range (IQR) is the difference between the upper (Q3) and lower (Q1) quartiles,
This IQR described the middle 50% of values when ordered from lowest to highest or from the highest to the lowest.
The IQR is considered as a better measure of spread than the range as it is not affected by outliers.
Thus we see that a single outlier does not affect the values of the quartiles.
You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answers
Answer:
Step-by-step explanation:
true or false:
Every quadrilateral is a square.
Every square is a quadrilateral.
Every rhombus with four right angles is a square.
Answers
Please help math 100 points!
easy fractions
Answers
Answer:
B. 2 miles
Step-by-step explanation:
15 7
------- + ------
16 8
15 7(2)
------- + ------
16 8(2)
15 14 29
------- + ------ = -------
16 16 16
29
------- = 1.8125
16
1.8125 ≈ 2
I hope this helps!
Kennedy School is taking the 6th grade students on a field trip to the zoo. There MUST be 1 teacher for every 11 students. There are a total of 48 people going on the field trip.
A: How much students are going?
B: How much teachers are going?
C: If 21 students fit on each bus, how many school buses do we need in order to get ALL of the people to the zoo?
Answers
Answer:
A. 44 students are going
B. 4 Teachers are going
C. 3?
Step-by-step explanation:
A. 44 students are going because if you take 11 students and 1 teacher you multiply 11 by 4 and get 44 add 4 more 48 in total.
B. ^^^
C. Take 21 from 48 two times. You have 6 left over. So you ethier cram the 6 left over in there or get another bus.
Hope I helped!!
Answer:there is 44 student and
4 teachers
Step-by-step explanation:
4. At Rory’s school, students must join one after-school club. Based on the data in Graph #2, which club attracted about 30% of students?
A. yearbook
B. art
C. drama
D. hiking
E. running
F. science
5. Approximately What percent of students chose not to join the yearbook club?
A. 15%
B. 30%
C. 75%
D. 85%
E. 90%
6. About what percent of students joined the art club?
A. 30%
B. 25%
C. 20%
D. 15%
E. 5%
Answers
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
Choose all of the statements that correctly compare the two functions shown.
Alec's rate of savings is greater than Beth's.
Alec and Beth are saving at the same rate.
Alec started with more money than Beth.
Beth started with more money than Alec.
At 10 days, Alec will have $1 more than Beth in savings.
PLEASE HELP I WILL GIVE BRANLEST TO WHOEVERS RIGHT
Answers
the 2nd one is false
the 3rd one is false
the 4th one is true
the 5th one is true
2 is false
3 is also false
4 is true
and 5 is also true
Hope that helped
PLEASE HELP ME I'LL MARK BRAINLIEST!!!! I KNOW THE ANSWER ISN'T 2/6
Answers
Answer:
The answer would be 1/3.
Step-by-step explanation:
You chose 2/6 but you can simplify it to 1/3
Answer:
2/6 aka simplfy 1/3
Step-by-step explanation:
is 1/3
Given the volume of the cuboid is atleast 150cm3 and the surface area of the cuboid is less than 320cm2. Determine all the possible values of x by solving simultaneous inequalities.
Answers
Answer:
Step-by-step explanation:
To solve this problem, we can start by finding the possible range of values for the volume of the cuboid, which is at least 150 cm^3. The volume of a cuboid is given by the formula V = lwh, where l is the length, w is the width, and h is the height. Since the volume is at least 150 cm^3, we can set up the following inequality:
V >= 150
lwh >= 150
Next, we can find the possible range of values for the surface area of the cuboid, which is less than 320 cm^2. The surface area of a cuboid is given by the formula A = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Since the surface area is less than 320 cm^2, we can set up the following inequality:
A < 320
2lw + 2lh + 2wh < 320
Now, we can solve these simultaneous inequalities to find the possible values of x, which represent the lengths, widths, and heights of the cuboid. To do this, we can start by finding the possible values of l, w, and h that satisfy both inequalities.
One way to do this is to rewrite the inequalities in terms of a single variable, such as l, and then solve for the possible values of l that satisfy both inequalities. For example, we could substitute the expression for the volume (lwh) and the expression for the surface area (2lw + 2lh + 2wh) into the inequality for the volume (V >= 150) and the inequality for the surface area (A < 320), respectively, and then solve for the possible values of l that satisfy both inequalities.
I hope this helps! Let me know if you have any questions or need further assistance.
The surface area of a cuboid is given by the formula A = 2lw + 2lh + 2wh, where A is the surface area and l, w, and h are the dimensions of the cuboid as described above.
We can use these formulas to write two inequalities:
V = l * w * h >= 150
A = 2lw + 2lh + 2wh < 320
To solve this system of inequalities, we can begin by substituting the expression for V into the second inequality:
2lw + 2lh + 2wh < 320
l * w * h >= 150
Next, we can divide both sides of the second inequality by l * w * h to find an expression for h in terms of l and w:
h < 320 / (l * w)
h >= 150 / (l * w)
Since h must be greater than or equal to 150 / (l * w) and less than 320 / (l * w), we can find all possible values of h by finding the values of l and w that satisfy these inequalities.
To find the values of l and w that satisfy these inequalities, we can begin by substituting the expression for h into the first inequality:
2lw + 2l(150 / (l * w)) + 2w(150 / (l * w)) < 320
3lw + 300 < 320
lw < 20
Since lw must be less than 20, we can find all possible values of l and w by listing all pairs of values that satisfy this inequality. Some possible pairs of values are (1, 20), (2, 10), (4, 5), and so on.
We can then use these values of l and w to find the corresponding values of h using the expression h = 150 / (l * w). For example, if l = 1 and w = 20, then h = 150 / (1 * 20) = 7.5. If l = 2 and w = 10, then h = 150 / (2 * 10) = 15. If l = 4 and w = 5, then h = 150 / (4 * 5) = 7.5.
Therefore, all possible values of x (which represents the length, width, and height of the cuboid) are:
(1, 20, 7.5)
(2, 10, 15)
(4, 5, 7.5)
and so on…
please helppp!!!! will give 5 stars if correct.
Answers
Answer:
60
Step-by-step explanation:
Because the diameter of this circle is 20 and the formula for the circumference (perimeter) of a circle is pi * the diameter, or πd, which, if π is 3, can be computed as 60.
A takeaway from this problem is that you should memorize basic equations like the circumference/area of a circle.
plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Simplify negative 3 over 4 divided by 2 over negative 8.
Answers
Answer:
3Step-by-step explanation:
−3/4÷2/−8=?
In the second fraction, move the negative sign from the denominator to the numerator and the value remains the same.
The equivalent equation is
−3/4÷ −2/8=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes
−3/4× −8/2=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
−3× −8/4×2= 24/8
Since 24 divided by 8 equals 3 then,
24/8 =3
Therefore:
−3/4÷ 2/−8= 3
Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)
you have identified constants of proportionality in tables, verbal descriptions, graphs, and equations. why is this helpful when solving problems that involve proportional relationships?
Answers
Answer: ppl use it to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with
Jacob and Jackson are on a hill by the river Jacob throws an acorn into the river is acorns path is described by the equation y= -3x^2+6x+6 Jackson is her on the hill then Jacob he also throws an acorn into the river his acorn is shown by the graph in each function the x is the acorns horizontal position from the hill and one represents its height and both are measured in feet who's Acorn is on fire point above the river
Answers
Answer: Jackson's acorn reached a higher point.
Step-by-step explanation:
Lionel wants to compare the heights of his plants. What type of graph would be best for him to use?
*
2 points
pie or circle graph
line graph
bar graph
Other:
Kathy records how many cars of each color are in the parking lot and then turns those into percentages. What kind of graph should she use?
2 points
pie or circle graph
line graph
bar graph
Other:
Find the mean of these numbers:5,11,2,12,4,2
2 points
4.1
4.5
6
4
3, 4, 5, 5, 5, 6,7 The range of these numbers is ...
2 points
15
4
5
2
Other:
In order to find the median, the data must be sorted from least to greatest first.
2 points
True
False
Option 3
You use this type of graph when comparing a change over the course of time
*
2 points
pie or circle graph
line graph
bar graph
Other:
A middle school has 6th grade, 7th grade, and 8th grade teachers. The principal wants to determine what supplies to order for the supply closet. Which of the following represents a random sample of teachers?
2 points
a. Surveying all the math teachers
b. Surveying all the teachers who have bus duty
c. Surveying all the teachers who are married
d. Surveying every fifth teacher according to the staff directory on the school website
A student wants to know which type of of pizza high school students perfer. Which of the following options is a good, representative sample of the population?
2 points
Asking all the 10th graders in the school
Asking the school principal which type of pizza he perfers
Asking 20 students from each grade level
Asking the students who walk to school
Other:
Answers
ANSWER: YOU CAN USE A BAR GRAPH
According to the line plot, how many apples weigh 5/8 of a pound?
Answers
Answer:
4 apples weigh 5/8 pound
Answer:
4
Step-by-step explanation:
there are 4 x that means 4
HELP PLEASE
1. If f(a) = 3a – a2, which of the following are not true statements?
Select all that apply.
f(-5) = -40
f(4) = -4
f(-1) = 2
f(0) = 3
f(3) = 0
2. Your savings account has a balance of $125. You add $22 a month to this balance.
Which equation shows your balance, b, in m months?
b( m) = $125 m + $22
m( b) = $125 b + $22
m( b) = $125 + $22 b
b( m) = $125 + $22 m
3. Find x, if f(x) = 12 and f(x) = 3x.
3
4
36
12
Answers
For 3 x=4
Identify the classifications to which this figure belongs. You must select all that apply.
(This is a multiple choice)
A. Parallelogram
B. Trapezoid
C. Quadrilateral
D. Rhombus
E. Rectangle
F.Square
Answers
Answer:
I thinks it's A. Parallelogram
B. Trapezoid
C. Quadrilateral
Step-by-step explanation:
♥ I hope this helps ♥
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
Mary and Jim collect baseball cards. Mary has five more than three times as many cards as Jim. The total number of cards they both have is 147. How many cards do they each have?
Please give me a right answer I will give 100 pt and brainliest
Answers
Answer:
m = 111.5
j = 35.5
I really hope this is right ;(
Step-by-step explanation:
m = 3j + 5
j + 3j + 5 = 147
4j + 5 = 147
4j = 142
142 ÷ 4 = 35.5
So j = 35.5
3(35.5) + 5 = 111.5