Answer:
The correct answer option is C. [tex]2\frac{1}{2}[/tex] pounds
Step-by-step explanation:
We are given that Emma has [tex]5\frac{3}{8}[/tex] pounds of potato salad and [tex]5\frac{3}{8}[/tex] pounds of egg salad for a picnic.
We are to find out how much more pounds Emma has of potato salad than the egg salad.
To find this, we simple need to subtract the pounds of egg salad from the pounds of potato salad.
[tex]5\frac{3}{8} - 5\frac{3}{8}[/tex] [tex]=\frac{43}{8} -\frac{23}{8} =\frac{43-23}{8} = 2\frac{1}{2}[/tex] pounds
The graphs below have the same shape. What is the equation of the red graph?
The answer is:
b. [tex]g(x)=x^{2} +3[/tex]
Why?To find what's the equation of the red graph, first, we need to find a function that intercepts the y-axis at 3 and its vertex is located at (0,3)
We must remember that the constant value in a quadratic equation (c) will tell us where the function intercepts the y-axis, so, we are looking for an equation which has a constant value equal to 3, it discards the options a, c and d, so the correct option would be the option b.
Option b function:
[tex]g(x)=x^{2} +3[/tex]
Where,
[tex]a=1\\b=0\\c=3[/tex]
Let's check if the option b is the correct option:
First, let's find the axis intercepts:
Y-axis intercept
[tex]f(x)=x^{2}+3\\f(0)=0^{2}+3\\y=3[/tex]
X-axis intercept
[tex]0=x^{2}+3\\x=\sqrt{-3}[/tex]
There is no x-axis intercepts since the square roots of negative numbers does not exists in the real numbers.
Finding the vertex coordinates:
The x coordinate of the vertex can be found using the following equation:
[tex]x=-\frac{b}{2a}=-\frac{0}{2*1}=0[/tex]
The x coordinate of the vertex is located at x=0, so to find the y-coordinate we must substitute the x value into the parabola equation, so
[tex]y=x^{2}+3=0^{2}+3=3[/tex]
So, the y coordinate of the vertex is located at y=3
Therefore, the vertex of the function is (0,3)
Hence, the calculated values of the option b match with the given graph.
The correct option is: b. [tex]g(x)=x^{2} +3[/tex]
Have a nice day!
A jar contains 5 blue marbles, 6 yellow marbles, and 4 green marbles. What is the probablity of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble.
First, you need to choose a yellow marble. That is 6/15.
Next, you need to choose a blue marble. That is 5/14, because 1 yellow marble would have been "chosen" already.
So the probability altogether is 6/15 * 5/14 = 1/7, or about 14%.
Final answer:
The probability of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble can be found by multiplying the probabilities of choosing a yellow marble and a blue marble from the jar.
Explanation:
To find the probability of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble, we first need to find the total number of marbles and the number of favorable outcomes.
There are 5 blue marbles, 6 yellow marbles, and 4 green marbles in the jar, for a total of 15 marbles.
When we choose a yellow marble, there are 6 yellow marbles and 14 remaining marbles. When we choose a blue marble from the remaining marbles, there are 5 blue marbles and 13 remaining marbles.
So, the probability of choosing a yellow marble and then a blue marble is:
(6/15) * (5/14) = 1/7 or approximately 0.14
What is the value of x?
Enter your answer in the box.
x =
The two angles shown ( 134 and X) make a straight line.
A straight line equals 180 degrees.
To find X subtract 134 from 180.
X = 180 - 134
x = 46
What is the equation of the following graph in vertex form?
The right answer is y=(x+3)^2 -1
A rectangle has vertices at these coordinates. (−2, −3), (−2, −5),(4, −3) What are the coordinates of the fourth vertex of the rectangle
Y is directly proportional to x, and y=10 when x=15. Write a direct proportion equation that relates x and y
y=kx
10=k15
rearrange the eqn, make k as a subject
k=10/15
k=2/3
Therefore, the answers
y=2/3x
The direct proportion equation that relates x and y is y = 2x/3.
What is direct proportion?When two quantities are directly proportional it means that if one quantity goes up by a certain percentage, the other quantity goes up by the same percentage as well.
Given that, y is directly proportional to x, when y = 10 when x = 15,
That mean,
y ∝ x
We know the rule of directly proportion,
y = kx
Where k is the proportionality constant,
To find the value of k in the given case, put, x = 15 and y = 10
10 = 15k
k = 2/3
Therefore, we can write,
y = 2/3 x
Hence, the direct proportion equation that relates x and y is y = 2x/3.
Learn more about direct proportion, click;
https://brainly.com/question/13906691
#SPJ2
What is the total cost of producing 50 engines with the equation been Y= 0.25 X +2
Simplifying
y = 0.25x + 2
Reorder the terms:
y = 2 + 0.25x
Solving
y = 2 + 0.25x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 2 + 0.25x
The parabola y=x^2 is scaled vertically by a factor of 1/10
What is the equation of the new parabola?
Answer:
Step-by-step explanation:
We want to scale by a factor of 1/10 so |a| = 1/10. This means that the graph is compressed vertically.
We do not reflect across the x axis so a = 1/10.
The new parabola is: y = 1/10 x^2
The new equation of the parabola will be [tex]y=\frac{x^{2} }{10}[/tex].
The given parabola is:
[tex]y=x^{2}[/tex]
What is a parabola?A parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped.
When the parabola y=x² is scaled vertically by a factor of 1/10.
The new equation of parabola will be = [tex]y=\frac{x^{2} }{10}[/tex].
This means the graph of a new parabola will look similar to the previous parabola(symmetric about the origin) but outputs(function values) will be different.
Hence, the new equation of the parabola will be [tex]y=\frac{x^{2} }{10}[/tex].
To get more about parabola visit:
https://brainly.com/question/4148030
What is the total length of all the seeds that the students measured?
What are the two equations that need to be solved to find the solutions for the absolute value equation |3x+5|=x-1
the 2 equations that need to be solved are [3x+5] and x-1. If you need the answer to what x is you'd solve it by evening out the problems. so first add one to both so you'd have 3x+6=x then you'd take the 3x and subtract it from both sides making it 6=-2x. Then divide 6 by negative 2 making it -3=x.
Answer:i think the answer was 3=x but i'm not sure i really do think it is
Step-by-step explanation:
What is the domain and range of the graph?
Answer:
Domain= how many boxes there are from each circle to the other, and the range is basically the height. In this case, Domain= 8, Range=2
A bird starts at 20 m and changes 16 m
20 + -4=16, so it is 4
Answer:
36 meters.
Step-by-step explanation:
{Bird's final elevation}= 20m+16m
{Bird's final elevation}=36 m}
what is 4x plus 1.3=13.3
it is 3
4 time 3 plus 1.3 equals 13.3
The following graph represents the possible areas of a rectangle with a perimeter of 40 feet. Select all the statements that accurately describe the area of the rectangle based on the graph shown. Question 5 options: The maximum area is 10 square feet. The minimum area is 100 square feet. The maximum area is 100 square feet. The area will be less than or equal to 100 square feet.
Answer:
Statements of Max Area as 100 sqft and area of less or equal to 100 sqft are true
Step-by-step explanation:
P=40
P=2L+2w
A=L•w
If L=10, w=10, A=100
If L=1, w=19, A=19
If L=0.5, w=19.5, A=9.75
If L=10.5, w=9.5, A=99.75
×Max area is NOT 10
✓Max Area is 100
×Minimum area is NOT 100
✓Area ≤100
the solution set of this inequality?
11q+5≤49
Subtract 5 from both sides.
49 - 5 = 44
11q ≤ 44
Divide both sides by 11.
44/11 = 4
q ≤ 4
The answer is q ≤ 4
Step-by-step explanation:11q+5 ≤ 49
Subtracting 5 from both sides
11q ≤ 49 - 5
11q ≤ 44
Dividing both sides by 11
q ≤ 4
what is the quotient of 10 and x as an algebraic expression
Answer:
I believe the answer is 10/x.
Step-by-step explanation:
A quotient is a result obtained by dividing one quantity by another and sence we don't know what x is it will have to just be an algebraic equation like the question says.
Mark brainliest if you can thanks!
Which axis shows the dependent variable ?
Answer:
The y-axis is dependent on the variable
Step-by-step explanation:
Just remember the acronym DRY MIX
Depenedent-responding-y axis
Manipulated-independent-x axis
HOPE THIS HELPS!!!!
How do you solve this ? Check for extraneous solutions
ANSWER
[tex]x = 6[/tex]
EXPLANATION
The given equation is
[tex] \sqrt{3x + 7} = x - 1[/tex]
We square both sides of the equation to obtain,
[tex](\sqrt{3x + 7} ) ^{2} =( x - 1)^{2} [/tex]
This implies that,
[tex]3x + 7 = {x}^{2} - 2x + 1[/tex]
Rewrite in standard quadratic equation form.
[tex] {x}^{2} - 2x - 3x+ 1 - 7 = 0[/tex]
[tex]{x}^{2} -5x - 6= 0[/tex]
Factor
[tex](x - 6)(x + 1) = 0[/tex]
This implies that,
[tex]x = 6 \: x = - 1[/tex]
We check for extraneous solution by substituting each x-value into the original equation.
When x=-1,
[tex]\sqrt{3( - 1)+ 7} = - 1- 1[/tex]
[tex]\sqrt{4} = - 2[/tex]
2=-2....False
Hence x=-1 is an extraneous solution.
When x=6,
[tex]\sqrt{3( 6)+ 7} = 6- 1[/tex]
[tex]\sqrt{25} = 5[/tex]
5=5 is True.
Hence x=6 is the only solution.
If a recipe called for 16 ounces of flour. How many cups would you use
Answer:
Step-by-step explanation:
Do you know how to do this?
6.45$ for 3 divide 15.05
Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to original) of the perimeters? the areas?
The ratio of the perimeters is ___.
The ratio of the areas is ___.
Answer:
Part a) The ratio of the perimeters is [tex]3[/tex]
Part b) The ratio of the areas is [tex]9[/tex]
Step-by-step explanation:
Part A) What is the value of the ratio (new to original) of the perimeters?
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of the new triangle
y-----> the perimeter of the original triangle
[tex]z=\frac{x}{y}[/tex]
we have
[tex]z=3[/tex]
substitute
[tex]\frac{x}{y}=3[/tex]
Part B) What is the value of the ratio (new to original) of the areas?
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the new triangle
y-----> the area of the original triangle
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=3[/tex]
substitute
[tex]\frac{x}{y}=3^{2}[/tex]
[tex]\frac{x}{y}=9}[/tex]
Answer:
Part a) The ratio of the perimeters is 3
Part b) The ratio of the areas is 9
Joelle walked 2/5 of the way from her house to school. Franco also walked 2/5 of the way from his house to school. Joelle and Franco do not live in the same house. Who had walked father
Answer:
I think they both have the same amount walked, therefore they are both considered as they have walked the same distance
Step-by-step explanation:
Both walked the same distance.
Joelle walked 2/5 of the way from her house to school
Franco also walked 2/5 of the way from his house to school.
What is fraction?
Fraction is defined as the number of composition constitute the Whole.
The question is incomplete so we assume that Joelle and Franco are the neighbors. and school is equally distance from the both the houses
so if Joelle walked for 2/5 and Franco also walked for 2/5
implies both have walked the same distance.
Thus, Both walked the same distance.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
A football team stood in a circle before a game to plan their strategy. The circle they formed had a radius of 1 yard. What is the circle's diameter?
yards
Answer:
The circle diameter is 2 yards because half of 2 is 1 which makes the radius 1 yard.
The diameter is 2
Hope this helps
Graph the line y=-2x-3
To graph the equation y = -2x - 3, start by plotting the y-intercept at (0, -3) and then use the slope to find more points. Connect these points to form the line.
Explanation:The given equation is y = -2x - 3. To graph this equation, we can start by plotting the y-intercept, which is -3. This means that the line intersects the y-axis at the point (0, -3). From there, we can use the slope, which is -2, to find more points on the line. For example, when x = 1, y = -2(1) - 3 = -5. So, we can plot another point at (1, -5). By connecting these points, we can draw a straight line that represents the equation y = -2x - 3.
What is the percentage chance of a solution 150 g active ingredient in a total of 1000 mL of solution
The percentage chance of a solution, or essentially its mass/volume percent concentration, with 150 g active ingredient in a total of 1000 mL of solution is 15%.
Explanation:The student is asking how to calculate the mass/volume percent concentration of a solution with a given amount of active ingredient and total solution volume. To find the percentage concentration, we use the mass of the active ingredient and the total volume of the solution. In this case, it is a 150 g active ingredient in 1000 mL of solution, assumming the solution's density is 1.0 g/mL which is typical for dilute aqueous solutions.
In order to calculate the mass/volume percent (m/v %), we use the formula:
% m/v = (Mass of solute in grams × 100) ÷ Volume of solution in mL
Plugging in the values we get:
% m/v = (150 g × 100) ÷ 1000 mL = 15%
Therefore, the solution has a mass/volume percent concentration of 15%.
Final answer:
The percentage chance of the solution with 150g of active ingredient in a total of 1000mL is 15%.
Explanation:
To calculate the percentage chance of a solution containing 150 g active ingredient in a total of 1000 mL of solution, we use the concept of mass/volume percentage. This concept is often used in chemistry to express the concentration of a solute in a solution.
Assuming the density of the solution is 1.0 g/mL, which is common for dilute aqueous solutions, the total mass of the solution will also be 1000 g.
The mass/volume percentage is hence calculated as:
% m/v = (mass of solute in grams) / (volume of solution in milliliters) x 100%
In this case, it's:
% m/v = (150 g)/(1000 mL) x 100% = 15%
So, the solution has a 15% mass/volume percentage of active ingredient.
What is 9.05 rounded off to the nearest whole number
Answer:
9
Step-by-step explanation:
9.05= 9.0=9
0 isn't greater than five, so you leave it as 9
Is 15 over 3 equals y over 7 a true proportion?
Answer:
The proportion is true.
Step-by-step explanation:
We are given the following proportion and we are to determine whether it is a true proportion or not:
[tex] \frac { 15 } { 3 } = \frac { y } { 7 } [/tex]
Finding the value of y:
[tex]y = \frac{15}{3} \times 7[/tex]
[tex]y=35[/tex]
So now we have [tex] \frac { 15 } { 3 } = \frac { 35 } { 7 } [/tex]
Checking if it is a true proportion:
[tex] \frac { 15 / 3 } { 3 / 3 } = \frac { 5 } { 1 } [/tex]
[tex] \frac { 35 / 7 } { 7 / 7 } = \frac { 5 } { 1 } [/tex]
Since the simplified fractions are equivalent, therefore the proportion is true.
The given expression, 15/3 = y/7, is a true proportion. Solving for y, we find y = 35.
The given expression, 15/3 = y/7, is a proportion. In a proportion, the product of the means (15 and 7) is equal to the product of the extremes (3 and y). To check if the given proportion is true, we can cross-multiply and check if the products are equal.
Cross-multiplying, we have 15 * 7 = 3 * y. This simplifies to 105 = 3y. Solving for y, we divide both sides of the equation by 3, obtaining y = 35.
Therefore, the proportion is true, and y = 35.
Learn more about Proportion here:https://brainly.com/question/32430980
#SPJ6
2. The triangles are similar. Show how they are similar and justify your answer.
They are similar because they are both the same type of triangles and are just rotated and shrunk.
They are similar because they have equal corresponding angles and proportional sides.
what's the volume of a cylinder if the height is 5mm and diameter is 24 mm
Answer:
V = 2,260.8
Step-by-step explanation:
To find the volume of a cylinder, you must use the equation: V = pi*r^2*h.
V = pi*12^2*5
V = pi*144*5
V = pi*720
V = 2,260.8
In one day, Peter cleaned 17.5 rooms in 8.75 hours while working for a house cleaning business. Approximately how many rooms did he clean per hour?
2 rooms
5 rooms
8 rooms
9 rooms
The answer is 2 rooms because you do 17.5 divided by 8.75 and you get 2
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Number of rooms = 17.5
Time taken to clean = 8.75 hours
We need to find the number of rooms he clean per hour.
So, the number of rooms per hour is given by
[tex]\dfrac{17.5}{8.75}\\\\=2[/tex]
Hence, there are 2 rooms that he clean per hour.
Therefore, First option is correct.