maya sells homemade spice mixes in different sizes at the creft fair. the graph shows the proportional relationship between tsp of cumin and tsp of chili powder in one recipe. what does the origin represent
Answers
The origin represents the quantities of chili powder and cumin are zero tsp in the recipe.
Maya sells homemade spice mixes in different sizes at the craft fair.
The given graph shows the proportional relationship between tsp of cumin and tsp of chili powder in one recipe.
As per the given graph,
The y-axis represents the tsp of chili powder in the recipe.
The x-axis represents the tsp of cumin in the recipe.
In the recipe, the proportions of chili powder and cumin are zero teaspoons which are represented by the origin of the given graph.
Therefore, the origin represents the quantities of chili powder and cumin are zero tsp in the recipe.
Learn more about graph here:
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Related Questions
Write in standard form the equation of a line passing through the point (-3, 4) and having the slope m = 2.
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then the equation in standard form:
[tex]\begin{gathered} y=mx+b \\ y=2x+10 \end{gathered}[/tex]2? + kI - 20limI-5I - 5Solve for k to make it exist?
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Answer:
k = -1
Step-by-step explanation:
The limit will exist if:
One of the roots of the equation in the numerator is 5. This happens because if this happens, we can simplify with the denominator. So
Solving a quadratic equation:
In the following format:
ax² + bx + c = 0
The solution is given by:
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]In this question:
x² + kx - 20 = 0
The solution is:
[tex]x=\frac{-k\pm\sqrt[]{k^2-4\ast1\ast(-20)}}{2}=\frac{-k\pm\sqrt[]{k^2-80}}{2}[/tex]Since we want x = 5.
[tex]\frac{-k+\sqrt[]{k^2+80}}{2}=5[/tex][tex]-k+\sqrt[]{k^2-80}=10[/tex][tex]\sqrt[]{k^2+80}=10+k[/tex][tex](\sqrt[]{k^2+80})^2=(10+k)^2[/tex][tex]k^2+80=100+20k+k^2[/tex][tex]k^2+80-100-20k-k^2=0[/tex][tex]-20-20k=0[/tex][tex]20k=-20[/tex][tex]k=\frac{-20}{20}=-1[/tex]k = -1
43)Solve the system 4x+2y=-3 4x-3y=22A. (7, –5)B. (7/4, –5)C. (7/4, 5)D. (4, –5)
Answers
Given,
The linear pair of equations are:
[tex]\begin{gathered} 4x+2y=-3 \\ 4x-3y=22 \end{gathered}[/tex]Required
The solution of the pairs of equations.
Taking the first equation as,
[tex]\begin{gathered} 4x+2y=-3 \\ 2y=-4x-3 \\ y=-2x-1.5 \end{gathered}[/tex]Substituting the value of y in second equation then,
[tex]\begin{gathered} 4x-3y=22 \\ 4x-3(-2x-1.5)=22 \\ 4x+6x+4.5=22 \\ 10x=17.5 \\ x=1.75 \\ x=\frac{7}{4} \end{gathered}[/tex]Substituting the value of x in first equation,
[tex]\begin{gathered} y=-2x-1.5 \\ y=-2(1.75)-1.5 \\ y=-3.5-1.5 \\ y=-5 \end{gathered}[/tex]Hence, the solution of the system is(7/4, -5).
Edmond divided 8 3/4 gallons of ketchup equally into 2 smaller bottles to put on the tables in his hamburger restaurant. How much ketchup did he put in each bottle?
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
total ketchup = 8 3/4 gallons
bottles = 2
ketchup in each bottle = ?
Step 02:
[tex]8\text{ + }\frac{3}{4}=\frac{32+3}{4}=\frac{35}{4}[/tex][tex]\frac{\frac{35}{4}}{\frac{2}{1}}=\frac{35\cdot1}{4\cdot2}=\frac{35}{8}[/tex]The answer is:
Edmond put 35/8 gallons of ketchup in each bottle.
I have a practice problem that I need answered, thank you
Answers
Given inequality:
[tex]6x^2-x\text{ }<\text{ 2}[/tex]Re-arranging:
[tex]6x^2-x\text{ - 2 }<\text{ 0}[/tex]Factorizing the expression to the left:
[tex]\begin{gathered} 6x^2-2x\text{ + x -2 }<\text{ 0} \\ 6x^2\text{ -4x +3x -2 }<\text{ 0} \\ (3x-2)(2x+1)\text{ }<\text{ 0} \end{gathered}[/tex]Hence:
[tex]\begin{gathered} 3x-2\text{ }<\text{ 0} \\ 3x\text{ }<\text{ 2} \\ x\text{ }<\text{ }\frac{2}{3} \end{gathered}[/tex]Since their product is negative. one of the factors would be positive.
[tex]\begin{gathered} 2x\text{ + 1 > 0} \\ 2x\text{ > -1} \\ \frac{2x}{2}\text{ >}-\text{ }\frac{1}{2} \\ x\text{ > -}\frac{1}{2} \end{gathered}[/tex]The solution on a number line:
The solution on interval notation:
[tex]\mleft(-\frac{1}{2},\: \frac{2}{3}\mright)[/tex]given the function given the function f of x equals 5 (x + 4) ^ 3/2 which of the following represent its y-intercept
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Master Level2. Brandon is wrapping the present shown below. How many square centimeters ofwrapping paper will he need?Height: 7 cmWidth:10 cmLength: 22 cm
Answers
Given the following:
Height = 7cm
Width = 10cm
length = 22cm
We were asked to find the number of square centimeters of wrapping paper Brandon will be needing.
To solve for this, we will be using the total surface formula.
Total surface formula (SA) = 2lw + 2lh + 2hw)
factoring out 2
SA = 2(lw + lh + hw)
lw = 22 x 10 = 220cm²
lh = 22 x 7 = 154cm²
hw = 7 x 10 = 70cm²
So,
SA =2(220 + 154 + 70)
SA = 2(644)
SA = 1288cm²
A plane is 110 mi north and 189 mi east
Answers
ANSWER:
30.2°
STEP-BY-STEP EXPLANATION:
The angle x can be calculated by means of the tangent trigonometric ratio, which relates the opposite leg to the adjacent leg, just like this:
[tex]\begin{gathered} \tan x=\frac{\text{ opposite}}{\text{ adjacent }} \\ \text{ opposite = 110} \\ \text{ adjacent = 189} \end{gathered}[/tex]We substitute and calculate for x just like this:
[tex]\begin{gathered} \tan\:x\:=\:\frac{110}{189} \\ x=\tan^{-1}\left(\frac{110}{189}\right) \\ x=30.2\degree \end{gathered}[/tex]Therefore, the angle is 30.2°
What survey contains the best example of a sampling error
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Answer:
The correct option is the second one: "a survey of high school students to determine the favorite type of doll"
This is a sampling error, because it's very unlikely that high school students have a favorite doll, and the results won't be very use
A small office supply store sells paper clipsin packs of 100 and packs of 250. If thestore has 84 packs of paper clips in stocktotaling 12,300 paper clips, how manypaper clips would a customer buy if he buyshalf of the packs of 250 that the store hasin stock?
Answers
The first equation should represent the total number of packs, each with 100 or 250 paper clips
i,e. x + y = 84 (1)
The second equation should represent the total number of paper clips. Because x represents packs with 100 paper clips and y represents packs with 250 paper clips, the second equation is
100x + 250y = 12,300 (2)
Simplify the linear equation;
x + y = 84
x = 84 - y
Substitute the value of x = 84 - y in the equation (2);
100x + 250y = 12300
100(84 - y) + 250y = 12300
8400 - 100y + 250y = 12300
8400 + 150y = 12300
150y = 12300 - 8400
150y = 3900
y = 3900/150
y = 26
Substitute the value of y = 26 in the equation x = 84 - y
x = 84 - y
x = 84 - 26
x = 58
The store has 26 packs of 250 paper clips in stock.
The customer would buy 13 × 250 = 3,250 paper clips,
Answer : 3250
Please help me solve this math question. Please explain each step clearly
Answers
a) Since the relation is proportional, the graph is a line.
In order to graph a line we only need two points and connecting them we get the line.
In this case, we know that at 4h the pool has 5200 gallons. The point woud be (4, 5200)
Now we need another point. The simplest one is the origin. When the time is zero, the amount of water in the pool is also 0, then we have another point (0, 0)
Now with the points (0, 0) and (4, 5200) we can graph the relationship.
b) We need to compair the filling rates. In the graph provided we can see that in 3 hours, there is 10,800 gallons. Since the other pool had 5,200 gallons in 4 hours, is clear that the second pool fills much more quicker.
6,9x,y3,3I need to find a equation relating to x and y
Answers
Answer:
[tex]y=2x-3\rightarrow Slope-intercept\text{ form}[/tex]Step by step explanation:
As a first step to find the equation of the line, we need to calculate the slope.
The slope is represented by the following equation:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where,} \\ \text{ (x}_1,y_1)and(x_2,y_2)_{}_{} \\ \text{are the points given} \end{gathered}[/tex]Then, the slope of the line would be:
[tex]\begin{gathered} m=\frac{9-3}{6-3} \\ m=\frac{6}{3} \\ m=2 \end{gathered}[/tex]Then, by the slope-point form of the line we can get slope-intercept form:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-3=2(x-3) \\ y=2x-6+3 \\ y=2x-3\rightarrow Slope-intercept\text{ form} \end{gathered}[/tex]How to solve for area of number 6 to the nearest square unit
Answers
132 square meters
Explanations:6) The given composite function is made up of a large rectangle and a small rectangle as shown:
The area of the composite figure = Area of the rectangle A + area of rectangle B
Since area of the rectangle = Length * width, hence;
[tex]\begin{gathered} \text{Area of the figure=}LW+lw \\ \text{Area of the figure=(9m}\times12m\text{)+(}4m\times6m\text{)} \\ \text{Area of the figure=}108m^2+24m^2 \\ \text{Area of the figure=}132m^2 \end{gathered}[/tex]Hence the area of the composite figure is 132 square meters
A-Lab assistant need to create a 900 ml mixture that is 4.5% hydroelectric acid. The assistant has solutions of 3% and 5.5% in supply at the lab. Using the variables x and y to represent the number of milliliters of 3% solution and the number of milliliters of the 5.5% solution respectively, determine a system of equation that describes the situation.Enter the equations below separated by a comma.How many milliliters of the 3% solution should be used?How many milliliters of the 5.5% solution should be used?
Answers
Let x and y to represent the number of milliliters of 3% solution and the number of milliliters of the 5.5% solution respectively. Given that the volume of the mixture is 900 ml, we have
x + y = 900
The mixture should contain 4.5% hydroelectric acid. Recall, percentage is expressed in terms of 100. The concentration of the mixture is
4.5/100 * 900 = 40.5
x should contain 3% of hydroelectric acid. The concentration of x is
3/100 * x = 0.03x
y should contain 5.5% of hydroelectric acid. The concentration of y is
5.5/100 * y = 0.055y
The equation representing the concentration would be
0.03x + 0.055y = 40.5
Thus, the required system of equations is
x + y = 900
0.03x + 0.055y = 40.5
From the first equation,
x = 900 - y
Substituting x = 900 - y into the second equation, we have
0.03(900 - y) + 0.055y = 40.5
27 - 0.03y + 0.055y = 40.5
- 0.03y + 0.055y = 40.5 - 27
0.025y = 13.5
y = 13.5/0.025
y = 540
x = 900 - y = 900 - 540
x = 360
360 ml of 3% solution and 540 ml of 5.5% solution should be used.
Do you go to the movies at least twice a week?Yes No TotalMale 35 45 80Female 67 28 95Total 102 73 175Jasmine wants to find out how manystudents at her school go to themovies at least twice a week. Sheinterviews 175 students and recordstheir gender and a yes if they go atleast twice a week and no if they goless than twice a week. She displaysthe results in the table.What is the probability that a personwho does not go to the movies atleast twice a week is male (round tothe thousandth)?
Answers
We have to determine the probability that a person who does not go to the movies at least twice a week is male.
From the table , it is given that there are total 73 students who does not go to school atleast twice a week.
Also, the number of male students whod does not go to school atleast twice a week is, 45.
Therefore, the probability that a person who does not go to the movies at least twice a week is male is determined as.
[tex]P=\frac{45}{73}[/tex][tex]P=0.61643[/tex]which statement best describes the changes to the graph when the coefficient of x^2 is multiplied by 1/2?A. the parabola will get narrower.B. the parabola will get wider.C. the parabola will shift to the right by 1/2 unit.D. the parabola will shift to the left by 1/2 unit.
Answers
B. The parabola will get wider
Explanatiion:The graph for the function x² is shown in the question
The graph x² is multiplied by 1/2. The new function becomes 1/2 x²
Let us plot the graph of 1/2 x² to compare with the graph of x² that has already been given
The graph of 1/2 x² is plotted above
As shown, it is obvious from the graphs of 1/2 x² and x² that the graph of 1/2 x² is wider than the graph of x²
Which graph shows the solution to this system of linear inequalities?y2 2x+3ys-2x-4
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To solve this problem, we will graph the solution set of each inequality and the solution to the system will be the intersection of the solution sets.
Graph of the solution set of the first inequality:
Graph of the solution set of the second inequality:
The graph of the overlap of the solution sets is:
Answer: Option B.Kerala is a marine biologist studying the breeding habits of an exotic species of sea turtlesLast year she observed the number of pregnant mother titles at each beach on an isolated island in the pacific. The histogram below summarizes the data. Use the histogram to answer each question
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a) The number of beaches in each class is represented by the height of the class. The class that has the least frequency is the one with 5-7.
We can see that the height is 2, thus the number of beaches in this class is 2.
b) We can see that each class has width 3:
2 to 4: 2, 3, 4
5 to 7: 5, 6, 7
and so on
The width of each class is 3.
c) The classes with 11 or more are the last two, from 11 to 13 and from 14 to 16.
The height of the class 11 to 13 is 4
The height of the class 14 to 16 is 7
The total beaches with 11 or more pregnant turtles is the sum: 4 + 7 = 11
Henry runs up 10 flights of stairs.Then, he runs down 10 flights of stairs.Does this situation represent additiveinverses? Explain.
Answers
Problem
Henry runs up 10 flights of stairs. Then, he runs down 10 flights of stairs. Does this situation represent additive inverses? Explain.
solution
For this case we know that Henry runs up 10 stairs and thenhe goes down 10 stairs so for this case yes that represent additive inverses because the net operation is:
10 +(-10)=0
And he back againt to 0
(-79.2x + 80) +(74.5x -89y) in standard form
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Ok, so:
We want to write (-79.2x + 80) +(74.5x -89y) in standard form:
So, -79.2x + 80 + 74.5x - 89y is equal to:
-4.7x - 89y + 80.
Then, -89y = 4.7x - 80
And finally, y = ((-4.7)/(89))x + 80/89
the sum of pi and 3/4 is a (n)_________ numberA. RationalB. NaturalC. WholeD. Irrational
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Remember that pi is an irrational number which means it has infinite decimal without a pattern.
If we add a number to pi we would still get an irrational number because the sum of a rational and an irrational won't give another type of number than an irrational.
Therefore, the right answer is D.which situation could be written mathematically as 10÷1/2A) The amount of time it would take to watch ten 1/2 hour videos.B) The amount of time it would take to watch half of a ten minute video.C) The number of 1/2 hour videos in ten hours.D) The number of minutes in one tenth of a 1/2 hour video.I also need to show my work :)
Answers
Which situation could be written mathematically as 10÷1/2?
10 ÷ 1/2 = 10 x 2/ 1 = 20
If there are 1/2 hour videos in ten hours, then there are also 20 videos
The correct answer is Option C - The number of 1/2 hour videos in ten hours.
Graph y=3/4x+2. i got the y intercept but i don’t know how to do the other point
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ANSWER
EXPLANATION
Once we have the y-intercept we have to find another point - since two points are enough to draw a line. To find this other point we can use the slope of the line. We can write the slope of a line as:
[tex]m=\frac{\text{rise}}{\text{run}}[/tex]In this line rise = 3 and run = 4. This means that the other point is 4 units to the right of the y-intercept and 3 units up:
Mark this new point and draw a line through both points.
For the following pair of variables state the units that might be used to measure each variable. then state whether you believe that the two variables are correlated .if you believe they are correlated, state whether the correlation is positive or negative. explain your reasoningTo measure fertility rate for women the unit _ might be used. to measure life expectancy the unit _ might be used. what correlation if any is there between the variables?
Answers
Problem
For the following pair of variables state the units that might be used to measure each variable. then state whether you believe that the two variables are correlated .if you believe they are correlated, state whether the correlation is positive or negative. explain your reasoningTo measure fertility rate for women the unit _ might be used. to measure life expectancy the unit _ might be used. what correlation if any is there between the variables?
Solution
To measure fertility rate for women the number of births per 1000 women might be used.
To measure life expectancy the years might be used.
what correlation if any is there between the variables?
For this case we would expect that the correlation would be positive. With higher number of life expectancy years we would expect a higher number of births
C. How long until there are only 20 mg remaining.
Answers
Therefore, it will take 12.52 hours
You deposit 500$ in a savings account that earns 2.5 interest compounded yearly. Find the balance in the account after the given amount of time A. 1 yearB. 5 years C. 20 years
Answers
In order to find the balance after the given time, use the following formula:
I = P(1 + r/n)^(t·n)
where
r: interes rate = 2.5% = 0.025
n: frequency = 1
t: time = 1, 5, 20
P: principal investment = 500
replace the previous values of the parameters into the formula for I:
A. 1 year:
I = $500(1 + 0.025/1)^(1·1) = $512.5
B. 5 years:
I = $500(1 + 0.025)^(5·1) = $565.7
C. 20 years
I = $500(1 + 0.025)^(20·1) = $819.3
do the data in the table Represent a linear function?
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Answer:
The correct option is the last one "no"
Explanation:
To see if the table represents a linear function, we can mark each point in the cartesian plane and connect them with a line. If all of the points lie in the line, then the table represents a linea
A pyramid has a square base of 120ft. On a side. The four slant faces are all congruent isosceles triangles with base angles 55 degrees. Find the height of the pyramid?
Answers
Our first approach will be to get the slant height, i.e. the sides of the triangle. We can get this via the sine rule as:
We can get the side of the isosceles to be:
[tex]\begin{gathered} \frac{120}{\sin70}=\frac{x}{\sin 55} \\ x=\frac{120\sin 55}{\sin 70}=104.6ft \end{gathered}[/tex]Now we need to find the perpendicular height.
To do that, we need to find the length of the diagonal of the base. We will apply the Pythagoras theorem.
This is given as:
[tex]\begin{gathered} d=\sqrt[]{o^2+a^2} \\ \text{ Where:} \\ o=\text{opposite = length of base} \\ a=\text{adjacent = length of base} \end{gathered}[/tex][tex]\begin{gathered} d=\sqrt[]{120^2+120^2} \\ d=170\text{ ft} \end{gathered}[/tex]Next, we plot the triangle that will help us get our perpendicular height.
We now find h.
[tex]\begin{gathered} h=\sqrt[]{104.6^2-85^2} \\ h=60.96\text{ ft} \end{gathered}[/tex]The perpendicular height is 60.96 ft
Students in Introductory Chemistry are recording the masses of samples as part of a lab experiment. for 5 samples, Sidney has recorded these masses: 4 grams 6 grams 4 grams 8 grams 2 grams What is the mode of the masses?
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Solution
For this case we have the following data given:
4, 6, 4, 8, 2
We need to remember that the mode is the most repeated value so then the answer would be:
Mode= 4
Calculate the area of the region enclosed by the x-axis and the curve y(x)=−x^2−3x+4.(show a figure and detailed answer please)
Answers
Given that the region is enclosed by the x-axis and this curve:
[tex]y=-x^2-3x+4[/tex]You can graph the function using a Graphic Tool:
Noice that the area region you must calculate is:
Notice that it goes from:
[tex]x=-4[/tex]To:
[tex]x=1[/tex]Therefore, you can set up that:
[tex]Area=\int_{-4}^1(x^2-3x+4)-(0)dx[/tex]In order to solve the Definite Integral, you need to:
- Apply these Integration Rules:
[tex]\int x^ndx=\frac{x^{n+1}}{n+1}+C[/tex][tex]\int kf(x)dx=k\int f(x)dx[/tex]Then, you get:
[tex]=(\frac{x^3}{3}-\frac{3x^2}{2}+4)|^1_{-4}[/tex]- Evaluate:
[tex]=(\frac{1^3}{3}-\frac{3(1)^2}{2}+4)-(\frac{(-4)^3}{3}-\frac{3(-4)^2}{2}+4)[/tex][tex]Area\approx64.17[/tex]Hence, the answer is:
[tex]Area\approx64.17[/tex]