Answers
Given
The recipe for the smoothie is made up of 5 cups of strawberries and 2 cups of bananas.
For the point (1,2.5)
It means that from the graph showing a plot of the numbers of cups, with the number of strawberries cups on the y-axis and the number of banana cups on the x-axis, the 2.5 is for the number of cups for strawberries while 1 is the number of cups of banana.
We can also say that
For every 1 cup of banana, there should be 2.5 cups of strawberries.
Related Questions
In the diagram, the length of segment VS is 39 units.What is the length of segment TV?14 unitsnQ19 units3x + 438 unitsR50 units2x + 56x - 3Save and ExitNextSubmUnmark this question
Answers
From the diagram we know that:
[tex]\begin{gathered} TR=RV \\ TS=\text{VS} \end{gathered}[/tex]Therefore:
[tex]6x-3=39[/tex]Solving for x we get:
[tex]\begin{gathered} 6x=42 \\ x=7 \end{gathered}[/tex]Then:
[tex]\begin{gathered} TV=TR+RV=2RV=2(2x+5)=2(2\cdot7+5) \\ TV=2(19)=38 \end{gathered}[/tex]Answer: 38 units.
1/4 of a 24-hour period to read 1/3 of his book. At this rate, how many hoursto complete the book?
Answers
We have:
That in 1/4th of 24 hours someone reads 1/3rd of a book, in other words:
[tex]h=\frac{24}{4}\Rightarrow h=6[/tex]So in 6 hours someone reads 1/3rd of a book, now:
If in 6 hours someone reads 1/3 of a book, then how many hours will it take to read the whole book.
In order to solve for the ammount of hours to read the whole book, we multiply the ammount of hours it takes to read 1/3rd of the book (6h) times the total of the book (1 book) and divide by the ammount of book that is read in 6 hours (1/3rd); that is:
[tex]T=\frac{6\cdot1}{(\frac{1}{3})}\Rightarrow T=18[/tex]Therefore the total ammount of time it will take to read the whole book are 18 hours.
If $14,000 is invested at 8% interest compounded quarterly, find the interest earned in 12 years.
Answers
Using the compound interest formula:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Where:
P = Principal = $14000
r = interest rate = 8% = 0.08
t = time = 12
n = Number of times interest is compounded = 4
Therefore:
[tex]\begin{gathered} A=14000(1+\frac{0.08}{4})^{4\cdot12} \\ A=36218.99 \end{gathered}[/tex]A shirt is on sale for 25% off. Sandy paid $7.50 for the shirt. What was the shirt's regular price?
Answers
Ik cause I took the quiz
5. Order from least to greatest -1/5, 10.5], 0.25, 5/10
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
-1/5, 10.5, 0.25, 5/10
Step 02:
-1/5 = -0.2
5/10 = 0.5
from least to greatest
- 1/5 , 0.25 , 5/10 , 10.5
That is the solution.
Save Submit Melanie and Joseph are raising money for their class trip to the zoo. They each need $30 to pay for the trip and are selling boxes of cookies for $4 each to earn the money. Joseph has sold 5 boxes and Melanie has sold 3 boxes. How much more money does Melanie need than Joseph? A) $10 B) $12 $18 DY $8
Answers
Save Submit Melanie and Joseph are raising money for their class trip to the zoo. They each need $30 to pay for the trip and are selling boxes of cookies for $4 each to earn the money. Joseph has sold 5 boxes and Melanie has sold 3 boxes. How much more money does Melanie need than Joseph? A) $10 B) $12 $18 DY $8
Joseph -------> has sold 5 boxes
5*($4)=$20 --------> need 30-20=$10
Melanie -------> has sold 3 boxes
3*($4)=$12 ------> need 30-12=$18
therefore
18-10=$8
answer is $8True or False: It does not matter which side you get the variable as stated by the symmetric property.
Answers
Answer: True
Step-by-step explanation: As the Symmetric property states you can put a variable on either side of a problem, or an equation.
How would I begin to find the equation for this? I will post picture of problem below if I can figure out how to upload photo. It's a graph. I have 10 extra credit of these to do...teachers always make extra credit on things we've never even seen before, ugh. Thanks in advance!
Answers
The equation of the parabola is y = (x + 2)² - 2, and the value of f(-1) is -1 after plugging x = -1 in the function.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
From the graph the vertex form of the parabola:
(-2, -2)
h = -2
k = -2
The vertex form of the parabola:
y = a(x - h)² + k
y = a(x + 2)² - 2
Plug x = 0
y = 2
a = 1
y = (x + 2)² - 2
Or
f(x) = (x + 2)² - 2
f(-1) = (-1 + 2)² - 2
f(-1) = -1
Thus, the equation of the parabola is y = (x + 2)² - 2, and the value of f(-1) is -1 after plugging x = -1 in the function.
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At a dinner table, the meal cost $22 and a sales tax of $1.87 was added to the bill. How much would the sales tax be on a $66 meal? What is the tax rate for the meals in this city?
Answers
Calculate the percentage for the tax rate
using this analysis
[tex]1.87\cdot\frac{100}{22}=8.5[/tex]The tax rate for meals in this city is 8.5%
Calculate the tax for the $66 meal.
[tex]66\cdot0.085\cdot=5.61[/tex]The tax for a $66 meal should be $5.61
Two students were competing to have the
highest amount of sales at a bake sale.
Together they made $132. If each
student had made $15 more in sales, one
student would have made twice as much
as the other student.
How much money did the winning
student make, in dollars?
Answers
Amount of money made by thee winning student as per the given conditions is equal to $93.
As given in the question,
Let x dollars be the money made by winning student
And y be the amount made by other student
As per given conditions:
x + y = $132 ___(1)
x + 15 = 2(y+15)
⇒ x +15 = 2y +30
⇒ x-2y =15 ____(2)
Multiply (1) by 2 and add it to (2)
2x +2y = 264
x - 2y = 15
3x = 279
⇒x =$93
Hence, y = 132 -93
= $39
Therefore, amount of money made by thee winning student as per the given conditions is equal to $93.
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The radius of a circle is 10 centimeters. What is the area?Give the exact answer in simplest form. _____ square centimeters (pi, fraction)
Answers
The radius of the circle can be computed using the equation
[tex]A=\pi r^2[/tex]The radius of the circle is provided in the problem, which is 10 cm. Just plug it in on the equation above and compute, we get
[tex]A=\pi(10cm)^2=100\pi cm^2[/tex]The exact answer is 100π square centimeters.
rewrite the expression in standard form (use the Fewest number of symbols and characters possible) a. 5g + yh
Answers
a) 5y
b) 7de
c) 20yz
d) 90d
Explanation:[tex]1a)\text{ }5\times y=5y[/tex][tex]b)\text{ }7\times d\times e=7de[/tex][tex]\begin{gathered} c)\text{ }5\times2\times2\times\times y\times z \\ 5\times2\times2=20 \\ \text{ }y\times z\text{ = yz} \\ 5\times2\times2\times\times y\times z\text{ = 20yz} \\ \end{gathered}[/tex][tex]\begin{gathered} d)\text{ }3\times3\times2\times5\times d\text{ } \\ 3\times3\times2\times5\text{ = 90} \\ 3\times3\times2\times5\times d=\text{ 90d} \end{gathered}[/tex]x = the number of small bottles
y = the number of large bottles
Answers
The inequality in standard form that describes the situation is 15x + 20y ≥ 554.
What is the inequality equation?Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
If the ounces of water have to be at least 554 ounces, it means that the water taken can be equal or greater than 554 ounces. Thus the sign to be used is ≥.
The total ounces of water taken if a function of the capacity of small bottles and the number of small bottles taken and the capacity of large bottles and the number of large bottles taken.
(capacity of a small bottle x number of small bottles) + (capacity of large bottles x number of large bottles) ≥ 554 ounces
15x + 20y ≥ 554
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about 7 out of 20 homes have a dishwahser on a street with 60homes, how many would you expect to have?
Answers
On a street with 60 homes, about 7 out of 20 have a dish washer, and 21 expect to have one.
Explain about the equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.Expressions that add up to one another make form an equation. A formula is an equation containing two or more variables that shows how the variables relate to one another. A line with the equation y=mx+b, where m denotes the slope and b the y-intercept, is an example of a linear equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.A ratio can be used to resolve this 7/20=x/60 is the ratio.
20x=420
x=21
The answer is 21
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What is anequation of the line that passes through the points (-7,3) and (-4,3)?
Answers
y = 3
Explanation:Equation of line formula:
y = mx + b
m = slope
b = y-intercept
Points: (-7,3) and (-4,3)
we apply the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=-7,y_1=3,x_2=-4,y_2\text{ = }3 \\ m\text{ = }\frac{3-3}{-4-(-7)}=\frac{0}{-4+7} \\ m\text{ = 0/3} \\ m\text{ = 0} \end{gathered}[/tex]To get c, we use any of the points in the equation of line
Using point (-7, 3) = (x, y)
y = mx + b
3 = 0(-7) + b
3 = 0 + b
3 = b
The equation of line for the given points:
y = 0(x) + 3
y = 0 = 3
y = 3
Hence, the equation is y = 3
brain's tent is a triangular prism how much fabric was used make the tent
Answers
We can think of the tent as the sum of two rectangles (both sides) and two triangles (front and back)
Each ofthe rectangles are 12ft lenght and 8.6ft height, so their area is:
Area of the rectangle = 12x8.6 = 103.2 square feet, since they are two, 103.2 x 2 = 206.4 square feet
Each of the triangles have a base of 10ft and a height of 7 ft, so their area is:
Area of the triangle = (10 x 7)/2 = 70/2 = 35, since they are also two, 35 x 2 = 70 square feet
Total area of the tent = 206.4 + 70 = 276.4 square feet
Answer:
276.4 square feet
It says to find the area of the figure. Round to the nearest hundredth where necessary. Please Help!
Answers
Answer:
309.76 mm²
Explanation:
The given figure is a square with:
• Side length, s = 17.6 mm
The area of a square with side length, s is found by using the formula:
[tex]A=s^2[/tex]Therefore:
[tex]\begin{gathered} \text{The area of the figure}=17.6^2 \\ =17.6\times17.6 \\ =309.76\; mm^2 \end{gathered}[/tex].The area of the figure is 309.76 mm².
The retail price for Jamaican allspice is $4.69 per ounce. You buy 8 ounces of allspice on sale for $4.62 per ounce. How much money do you save?
Answers
Answer:
Step-by-step explanation
56 cents
Explanation: The deal is 7 cents less per ounce, you need to buy 8 ounces, multiply 7 by 8, equaling 56 cents
Let f(x) = 2x + 7 and g(x) = 3(2x +7). The y-intercept of g is Choose... the y-intercept of f, and the x-intercept of g is Choose... the x-intercept of f.
Answers
The y-intercept of .f(x) = 2x + 7 is 7; its x-intercept is -7/2.
The y-intercept of .f(x) = 2x + 7 is 7; its x-intercept is -21/6.
What is the Y-intercept and the X-intercept of a Function?A function is expressed in slope-intercept form as .f(x) = mx + b, where the y-intercept is represented by the value of b.
On the other hand, to determine the value of the x-intercept for a function, .f(x) = mx + b, substitute .f(x) = 0 into the equation .f(x) = mx + b and solve for the value of x in the equation.
Find the y-intercept and the x-intercept of .f(x) = 2x + 7:
y-intercept of the function (b) = 7
To find the x-intercept, substitute .f(x) = 0 into f(x) = 2x + 7:
0 = 2x + 7
Subtract 7 from both sides
0 - 7 = 2x + 7 - 7
-7 = 2x
Divide both sides by 2
-7/2 = 2x/2
-7/2 = x
x = -7/2
Therefore, the x-intercept is: -7/2.
Find the y-intercept and the x-intercept of g(x) = 3(2x +7):
g(x) = 3(2x +7)
g(x) = 6x + 21
The y-intercept is: 21.
Find the x-intercept by substituting g(x) = 0 into g(x) = 6x + 21:
0 = 6x + 21
-21 = 6x
-21/6 = 6x/6
-21/6 = x
x = -21/6.
x-intercept is: -21/6.
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Estimate each sum 22+ 23 + 19 + 20 + 18 + 19 + 22
Answers
Alex can eat 8 hotdogs in 11
12 minutes. At this rate,
how many hotdogs can
Alex eat in three
minutes?
Answers
Answer:
Step-by-step explanation: It is a rate problem. If Alex can eat 8 hotdogs in 12 mins, you just divide 12/4=3 mins. Then, divide the hotdogs. 8/4=2
So: Alex can eat 2 hotdogs in 3 minutes
Can you please help me out with this I’m stuck
Answers
Given
Find
the value of x
Explanation
given m is parallel to n.
so, these are corresponding angles.
hence
[tex]\begin{gathered} 4x-23=2x+17 \\ 2x=17+23 \\ 2x=40 \\ x=20 \end{gathered}[/tex]so, x = 20
Final Answer
The value of x is 20
Seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many selections do at least 3
Jacks occur?
Answers
Using the combination formula, it is found that there are 193 selections that contain at least 3 Jacks.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In the context of this problem, we have that the possibilities with at least 3 Jacks are given as follows:
3 Jacks from a set of 4, and one non Jack from a set of 48.4 Jacks from a set of 4.Hence the number of selections with at least four jacks is calculated as follows:
[tex]T = C_{4,3}C_{48,1} + C_{4,4}[/tex]
T = 4 x 48 + 1
T = 193.
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The average life span in years of different species of zoo animals are shown: 35, 16, 12, 8, 14, 8, 5, 8, 1, 121. Indentify the number summary. Using 1.5 interquartile ranges up from Q3 and down from Q1, identify any outliers. Min:Max:Q1:Q2:Q3:IQR:Outliers:2. Sketch and label a box-and-whisker plot of the data. Use an appropriate scale.<-----I-----I-----I-----I-----I-----I-----I-----I-----I-----I-----I----->3. What is the mean average life span?Mean:4. What is the MAD for the average life span?MAD:5. Explain what the MAD means in the context of the data
Answers
1)First, lets arrange our data in ascending order:
[tex]1,5,8,8,8,12,12,14,16,35[/tex]notice that we have the following:
[tex]\begin{gathered} \min =1 \\ \max =35 \end{gathered}[/tex]now, since we have ten elements in your data set, we can find the median by adding the two central elements. In this case we have:
[tex]\begin{gathered} \operatorname{median}=\frac{8+12}{2}=\frac{20}{2}=10 \\ \operatorname{median}=10 \end{gathered}[/tex]Next, notice that we can divide our data set in two equal parts:
[tex]\mleft\lbrace1,5,8,8,8\mright\rbrace,\mleft\lbrace12,12,14,16,35\mright\rbrace[/tex]the median in these two subsets are going to be or first and third quartile, therefore, we have that:
[tex]\begin{gathered} Q_1=8 \\ Q_2=10 \\ Q_3=14 \end{gathered}[/tex]Now we can find the IQR:
[tex]\begin{gathered} \text{IQR}=Q_3-Q_1 \\ \Rightarrow IQR=14-8=6 \\ \text{IQR}=6 \end{gathered}[/tex]Finally, the outliers are the following for 1.5 interquantile:
[tex]\begin{gathered} 1.5\cdot\text{IQR}=(1.5)(6)=9 \\ \Rightarrow Outliers\colon Q_1-9=8-9=-1 \\ Q_2+9=14+9=23 \end{gathered}[/tex]2)The box and whisker plot would be the following:
3)We can find the mean with the following formula:
[tex]\operatorname{mean}=\frac{\sum ^n_{i=1}x_i}{n}[/tex]In this case, the mean is:
[tex]\begin{gathered} \operatorname{mean}=\frac{1+5+8+8+8+12+12+14+16+35}{10}=\frac{119}{10}=11.9 \\ \operatorname{mean}=11.9 \end{gathered}[/tex]therefore, the average life span is 11.9
$)We can find the mean absolute deviation (or MAD), with the following expression:
[tex]\text{MAD}=\frac{\sum ^{}_{}|x_i-\operatorname{mean}|}{n}[/tex]with this expression we can find out the variability of the dataset.
In this case, we have the following:
[tex]\begin{gathered} \text{MAD}=\frac{|1-11.9|+|5-11.9|+|8-11.9|+|8-11.9|+|8-11.9|+|12-11.9|+|12-11.9|+|14-11.9|+|16-11.9|+|35-11.9}{10} \\ =\frac{10.9+6.9+3.9+3.9+3.9+0.1+0.1+2.1+4.1+23.1}{10} \\ =\frac{59}{10}=5.9 \\ \text{MAD}=5.9 \end{gathered}[/tex]We have that the MAD for the average lifespan is 5.9
5) Since the mean absolute deviation is 5.9, we can estimate that the values of the dataset are approximately 5.9 units away from the mean. therefore, there is a high variability in the life span of the animals
Convert the following phrase into a mathematical expression. Use x as the variable. Combine like terms when possible.A number multiplied by - 9, subtracted from the sum of 15 and two times the numberThe expression is(Simplify your answer.)
Answers
Given:
A number multiplied by - 9, subtracted from the sum of 15 and two times the number.
Let the number = x
A number multiplied by - 9 ⇒ -9x
The sum of 15 and 2 times the number ⇒ 15 + 2x
So, the expression will be ⇒ 15 + 2x - (-9x) = 11x + 15
So, the answer will be ⇒ 11x + 15
Simplify: 3(s + 5)3s + 153s + 58s18s
Answers
The given equation is 3(s + 5)
and it will be simplified as
3(s + 5) = 3s + 15
So option A is correct
Selecting all the correct answers. Which represents the inverse of this statement? Is the inverse true or false?
Answers
Given: A statement- A number is negative if and only if it is less than 0.
p: A number is negative.
q: A number is less than 0.
Required: To find the inverse of the given statement and state if it is true or false.
Explanation: The inverse of the statement will be-
A number is positive if and only if it is greater than 0.
p: A number is positive.
q: A number is greater than 0.
The statement is always true since a positive number is always greater than 0.
Now p and q both are true since any positive number is greater than 0 and any number greater than 0 is always a positive number.
Hence we can write
[tex]\text{\textasciitilde}p\leftrightarrow\text{\textasciitilde}q\text{ }[/tex]The inverse of the given statement is true.
Final Answer: Option D and Option F are correct.
Are you able to help? If you are thank you
Answers
From the graph of the function, the polynomial has the next roots: -2 (double), -1 (simple), and 3 (simple). Then, its equation is:
[tex]\begin{gathered} y=(x-(-2))^2(x-(-1))(x-3) \\ y=(x+2)^2(x+1)(x-3) \end{gathered}[/tex]x/-6≥-20help meeee[tex] \frac{x}{ - 6 } \geqslant - 20[/tex]
Answers
We need to solve an inequality given in the form:
[tex]\frac{x}{-6}\ge-20[/tex]So we need to isolate "x" on one side to the inequality symbol.
In order to do that, we need to multiply both sides by the number "-6" (which will cancel out the denominator that "x" has). Bit we need to recall that when we multipkynor divide by a negative number boths sides of an inequality, the symbol flips direction. having that in mind, we proceed to multiply and solve for "x":
[tex]\begin{gathered} \frac{x}{-6}\ge-20 \\ x\leq(-20)\cdot(-6) \\ x\leq120 \end{gathered}[/tex]So the answer is: all real x-values less than or equal to 120.
If we need to give the answer in graphic form, we draw a number line with the origin (0), and mark on the right of it a point that we name "120". Then we highlight the line from the point 120 towards the left, and we make sure that we draw a solid dot on the 120 point mark to indicate that the point is included in the set.
Write an equation in standard form of the line that passes through the point (-2,0) and has the slope of m=-2.
Answers
The equation in standard form of the line is y+2x+4 = 0.
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.
Y = mx + c represents the expression of a straight line with slope m and intercept c on the y-axis.Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the topology is described. In analytic geometry, for example, a line in the plane is frequently described as the collection of points whose coordinates satisfy a particular linear equation, whereas in a more abstract context, such as contact geometry, a line may be an autonomous object, separate from the points.We know that the standard form a straight line equation is given by
y-q = m(x-p) where (p,q) is a point on the line and m is the slope.
Therefore
y-0 = -2(x-{-2})
or, y = -2x -4
or, y + 2x + 4 = 0
Therefore the equation of the straight line is y + 2x + 4 = 0 .
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