We need 8 plates for muffins, 4 plates for breadsticks, and 7 plates for rolls, with this arrangement, all plates will have the same amount of items, 12 per plate.
What are the denominator and numerator?
A fraction's top digit is always referred to as the numerator. It displays the number of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.
we have to divide each item in a way that gives us equal groups on each plate,
we have to find a divisor for each item that gives us the same result.
Muffins.
96/2=48
96/3=32
96/4=24
96/8=12
That is, by dividing all muffins into 8 plates we would have 12 muffins per plate.
Breadsticks.
48/2=24
48/4=12
That is, by dividing all breadsticks into 4 plates we would have 12 breadsticks per plate.
Rolls.
84/2=42
84/3=28
84/4=21
84/6=16
84/7=12
By dividing all rolls in 7 plates, we would have 12 rolls per plate.
Therefore, we need 8 plates for muffins, 4 plates for breadsticks, and 7 plates for rolls, with this arrangement, all plates will have the same amount of items, 12 per plate.
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Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the length of the swimming pool?
The measure of length of side p is 33 ft .
What is measure of length?
Some of the commonly used units for measuring length are centimeters, millimeters, meters, inches, feet, yards, feet, etc. Some of the units to measure mass are pounds, ounces, kilograms, grams, centigrams, milligrams, etc.
Given as the length of the swimming pool measured by drawing similar triangle :
I.e The smaller Triangle similar to larger Triangle
Let o is the points of meeting of two triangles
And OAB is smaller triangle having sides OA , AB , BO
The measure of side OA = 8 ft
The measure of side AB = 12 ft
Again, OPQ is larger triangle having sides OP , PQ , QO
The measure of side OP = 22 ft
The measure of side PQ = p ft
∵ both Δ OAB and ΔOPQ are similar
The from similarity property
[tex]\begin{aligned}& \frac{P Q}{A B}=\frac{O P}{O A} \\& \text { l.e } \frac{p}{12}=\frac{22}{8} \\& \text { Or, } \frac{p}{12}=\frac{11}{4} \\& \therefore \mathrm{p}=\frac{11}{4} \times 12 \\& \text { or. } \mathrm{p}=11 \times 3 \\& \text { l.e } \mathrm{p}=33 \mathrm{ft}\end{aligned}[/tex]
Hence, the measure of length of side p is 33 ft .
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Chloe's bedroom is rectangular. The length of one wall of Chloe's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?
The length of the other wall is 3 meters, according to the declaration made.
What is the Pythagorean principle?Pythagoras' Theorem states that within a right-angled triangle, any square on the hypotenuse side is precisely equal to the sum of something like the squares on the other two sides. The Perpendicular, Base, as well as Hypotenuse are the names of the three sides of this triangle. The hypotenuse throughout this example is the longest side since it is located across from the 90° angle.
Pythagoras discovered what, exactly?The Pythagorean theorem, Pythagorean tuning, all five elements solids, ancient Theory and Proportions, understanding sphericity of the Earth, as well as the identification of the morning and evening luminaries and Venus are only a few of the the mathematical and scientific discoveries that Pythagoras gets attributed with in antiquity.
Briefing:According to Pythagoras theorem
[tex]c^2=a^2+b^2[/tex]
diagonal (c)= 5 m
length of one wall (a) = 4m
length of other wall (b)= ?
[tex]5^2=4^2+b^2\\25=16+b^2\\b^2=25-16\\b^2=9\\b=3[/tex]
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
A. x2 + (y – 3)2 = 36
B. x2 + (y – 5)2 = 6
C. (x – 4)² + y² = 36
D. (x + 6)² + y² = 144
E. x2 + (y + 8)2 = 36
The equation represents a circle that has a diameter of 12 units will be x² + (y - 3)² = 36. Hence, option A is correct.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the provided information in the question,
Use the equation of a circle,
(x -a)² + (y - b)² = r²
Here, a and b represent the center of the circle and r is the radius of the circle.
A center can be anywhere along the y-axis if it is (0, 3).
(x -0)² + (y - 3)² = 6²
x² + (y - 3)² = 36
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the volume of a cube decreases at a rate of 10 m/sec. find the rate at which the side of the cube changes when the side of the cube is 2 m.
If the volume of a cube decreases at a rate of 10 m/sec, then the rate at which the side of the cube changes when the side of the cube is 2 m is -0.83 meter per second
The rate of volume of the the cube decreasing = 10 meter per second
Consider the side of the cube is x
The volume of the cube = x^3
The rate of change of volume with respect to time
dV / dt = 3x^2 dx/dt
dV / dt = -10 meter per second
The dx / dt = (dV / dt) / 3x^2
We haver to find the rate at which side of the cube changes when the side of the cube is 2 meter
Then x = 2
dx / dt = -10 / (3 × 2^2)
= -10 / 12
= -0.83 meter per second
Therefore, the rate at which side of the cube changes when the side of the cubes is 2 meter is -0.83 meter per second
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He John Hancock Building in Chicago i 455 meter tall, which i about 1,400 feet, or about a quarter of a mile high. It ha one of the fatet elevator in the world, traveling at 20. 5 mile per hour, or about 5 meter per econd. How many econd woud it take to travel the the length of the building?
The required number of seconds would it take to travel the the length of the building is 91.
What is speed and its formula?The equation for speed is basic like distance partitioned by time. You take the distance voyaged (for instance 3 meters) and gap it when (three seconds) to get the speed (one meter each second) Thus, we can characterize Speed as the pace of progress of position of an article toward any path.
According to question:We have,
length of the building = 455 meter
speed of elevator = 5 m/s
We know,
speed = distance/time
5 = 455/time
Time = 455/5
Time = 91 seconds.
Thus,time take to travel the the length of the building is 91 seconds.
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If the original quantity is 10 and the new quantity is 3, what is the percent decrease?
Answer:
The percent decrease is 70%.
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
I’m having trouble and knowing what the name of the line is.
the name of the line is both XY and YX
0.85x18340 how do I solve this explain please
Answer:
Answer down below!
Step-by-step explanation:
Once you multiply 0.85 * 18340 you get
15589
Find the values of the variable in the parallogram . please!
The values of the variables x, y, z in the parallelogram are x=31, y=153, z=96.
What is a parallelogram?In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two sets of parallel sides. Both the congruence of opposite sides and the congruence of opposite angles require the Euclidean parallel postulate, or one of its equivalent formulations, and neither condition can be proved without it.
The values of the three supplied variables x, y, and z in the parallelogram are given to us.
Let's abbreviate the parallelogram, which is depicted in the attached image, ABCD.
Here,
m∠CAB = 31°, m∠ABC =96°.
Since CD and AB are parallel, AC is a transversal now. So,
m∠CAB =m∠ACD
m∠ACD=31°
x=31
From the ΔABC we have,
m∠ABC +m∠ACB+m∠BAC=180°
96°+Y+31°=180°
y+127°=180°
y=153°
y=153
And also we know that the measure of opposite angles in a parallelogram are always equal.
So, m∠ADC=m∠ABC
z=96°
z=96
Therefore, the required values of x, y, z are 31, 153, 96.
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Two linear functions are shown. Which function has the greater initial value?
The function that has the greater initial value is function A
How to determine the function with the greater value?From the question, we have the following parameters that can be used in our computation:
Function A: table
Function B: y = 3x + 6
The initial value of a function is when the input value is 0
i.e. when x = 0
From the table, we have
x = 0 when y = 8
From the equation, we have
y = 3(0) + 6
y = 6
8 is greater than 6
Hence. function A has the greater initial value
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Write the equation of the line that is parallel to y=-1/2x-3 and that will pass through the point (4,-1) . Write your answer in slope-intercept form
The equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
What is the slope of the equation?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
To find the equation of a line that is parallel to y = -1/2x - 3 and passes through the point (4, -1), we can use the point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is the given point, and m is the slope of the line.
Since the given line is parallel to y = -1/2x - 3, it has the same slope, which is -1/2. Substituting this value for m and the coordinates of the given point into the point-slope form, we get:
y - (-1) = (-1/2)(x - 4)
Combining like terms and multiplying through the parentheses, we get:
y + 1 = -1/2x + 2
Hence, the equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
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At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.20 and the cost of a large greeting card is $4.25. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
Answer:
Q: How much are 5 small greeting cards?
A: $6
Q: How much are 4 large greeting cards?
A:$17
How much is it altogether? $23.
Step-by-step explanation:
Small greeting card cost: $1.20
Large greeting card cost: $4.25
Let's solve how much it would cost to get 5 small greeting cards.
5 (1.20)=6
So $6 for 5 small greeting cards
Let's solve how much it would cost for 4 large greeting cards
4 (4.25)= 17
So $17 for 4 large greeting cards.
I hope this helps!!! I didn't understand the question completely, so hopefully I added everything that you needed.
Find the equation of the line passing through the points (-1,-1) and (3,5).
Answer:
y = 2/3x + 3
Step-by-step explanation:
(-1,-1) (3,5)
5+1/3+1
6/4
2/3
y = 2/3x + b
5 = (2/3)(3) + b
5 = 2 + b
b = 3
y = 2/3x + 3
2x - 3y = 9
x = 4 + y
Answer:
x = 3; y = -1
Step-by-step explanation:
2x - 3y = 9
x = 4 + y
Since the second equation is already solved for x, use the substitution method. Substitute 4 + y for x in the first equation and solve for y.
2x - 3y = 9
2(4 + y) - 3y = 9
8 + 2y - 3y = 9
-y = 1
y = -1
Now substitute -1 for y in the second original equation, and solve for x.
x = 4 + y
x = 4 + (-1)
x = 3
Answer: x = 3; y = -1
5 scapulae (3 right and 2 left)
Axillary is 3 skulls.The remainder goes to the appendix.
Which of the bones in the collection belong to the axial skeleton?The bones could potentially represent up to 22 different people.This is due to the possibility that each bone comes from a different person.
There were only 3 skulls, leading some to first believe there would only be 3 persons. However, there were 4 right femurs, indicating that there is a missing skull to correspond with one of the right femurs.
In light of this, you can only conclude, until further proof, that each bone belongs to a different person.
Axillary =3 skulls.
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A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The x-coordinate of the point is 9.
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line y = (2/3)x - 6 ______(1)
Now,
The line passes through a point (x, 0).
(x, 0) = (x, y) ______(2)
Now,
Putting (2) in (1) we get,
0 = (2/3)x - 6
6 = (2/3)x
x = 6 x 3 / 2
x = 9
Thus,
The x-coordinate of the point is 9.
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What are the values of x and y in the figure ?
Answer:
[tex]x=64, y=72[/tex]
Step-by-step explanation:
Using the angle sum of a triangle, [tex]x=180-57-59=64[/tex].
Thus, the left hand triangle has angles of 42°, 64° (using vertical angles), and y°. It follows that [tex]y=180-42-64=74[/tex].
Please help question in photo
Is a = 9 a solution to the inequality below?
Answer:
No, 9 is not a solution to 12 [tex]\leq[/tex] a
Step-by-step explanation:
The expression 12 [tex]\leq[/tex] a states " 12 is less or equal to a." If a were 9, the statement would not be true, since 9 is less than 12. This contradicts the expression.
Solve the equation. Show your work. Express your answer as both a simplified mixed number and as a decimal.
−4.75+0.8x=−3.7
Answer: x = 1.3125
Step-by-step explanation:
−4.75+0.8x=−3.7
First, add 4.75 to both sides
0.8x = 1.05
Then divide by 0.8 on both sides
x = 1.3125
Answer:
x = 1.3125
Step-by-step explanation:
Find the circumference of a circular wimming pool with a radiu of 8. 5 yard. Ue 3. 14 a an approximation for pie
Answer:
53 if rounding to nearest 10
53.38 if not
Step-by-step explanation:
It's pretty simple actually, let's put vocabulary though
π = pie
r = radius C = circumference
ok now the formula for circumference is,
C = 2πr
because they gave you the radius, it is very simple
plug it in.
C = 2(3.14)(8.5)
3.14 x 2 = 6.28
8.5 x 6.28 = 53.38
if you're rounding to the nearest 10 it will be 53.
welcome:)
What is the simplest form of the expression (–11.7y – 3.3x) + 1.2x + (5.2y + x)?
–16.9y – 5.5x
–16.9y – 4.5x
–6.5y – 2.1x
–6.5y – 1.1x
Answer:
-6.5y - 1.1x
Step-by-step explanation:
Rearrange the problem to where like terms are closer together:
11.7y+5.2y + 1.2x + x - 3.3x
Simplify by adding the like terms and your final answer will be -6.5y -1.1x
find the value of unknowns in each of the following
chapter matrices
with full workings and explanations
The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15
What is a Matrix?
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object
A+B = B+A Commutative Law of Addition.
A+B+C = A +(B+C) = (A+B)+C Associative law of addition.
ABC = A(BC) = (AB)C Associative law of multiplication.
A(B+C) = AB + AC Distributive law of matrix algebra.
R(A+B) = RA + RB
Given data ,
Let the Matrix be A
Now , the given matrices are
[tex]2\left[\begin{array}{ccc}w&2\\5&z\\\end{array}\right] + 3\left[\begin{array}{ccc}2&x\\-2&-6\\\end{array}\right] =4\left[\begin{array}{ccc}4&7\\y&3\\\end{array}\right][/tex]
On simplifying the matrices , we get
[tex]\left[\begin{array}{ccc}2w&4\\10&2z\\\end{array}\right] + \left[\begin{array}{ccc}6&2x\\-6&-18\\\end{array}\right] =\left[\begin{array}{ccc}16&28\\4y&12\\\end{array}\right][/tex]
Now , from the distributive law of matrices ,
2w + 6 = 16 be equation (1)
4 + 2x = 28 be equation (2)
10 - 6 = 4y be equation (3)
2z - 18 = 12 be equation (4)
So on simplifying the equation , we get
2w + 6 = 16 be equation (1)
Subtracting 6 on both sides , we get
2w = 10
Divide by 2 on both sides , we get
w = 5
So on simplifying the equation , we get
4 + 2x = 28 be equation (2)
Subtracting 4 on both sides , we get
2x = 24
Divide by 2 on both sides , we get
x = 12
So on simplifying the equation , we get
10 - 6 = 4y be equation (3)
4y = 4
Divide by 4 on both sides , we get
y = 1
So on simplifying the equation , we get
2z - 18 = 12 be equation (4)
Adding 18 on both sides , we get
2z = 30
Divide by 2 on both sides , we get
z = 15
Therefore , the values are w = 5 , x = 12 , y = 1 and z = 15
Hence , The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15
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PLS HELP!!!
I attached the question in the picture below
Solve this1
HURRY pleasee
Answer:
Part a
[tex]m = \dfrac{280-\boxed{140}}{\boxed{4} - 2} = \dfrac{\boxed{140}}{\boxed{2}}[/tex]
[tex]y = \boxed{70}x[/tex]
Part b.
The heart's resting rate is [tex]\boxed{70}[/tex] beats each minute
Step-by-step explanation:
Q6
Part a
The slope-intercept form of an equation is y = mx + b
where m is the slope and b the y-intercept ie the value of y when x is 0
Here we see when x = 0, y = 0 so the value of b is 0 and the equation is simply
y = mx
To compute m, all we have to do is take 2 points on the graph, find the difference in y values(called rise) and divide by the difference in x values(called run)
This would be [tex]\dfrac{y2-y1}{x2-x1}[/tex]
We are given y2 as 280(on the numerator). The corresponding x2 value from the graph is 4
We are given x1(on the denominator) as 2. The corresponding y1 value is 140 from the graph
So just fill in the missing values to get
[tex]m = \dfrac{280-\boxed{140}}{\boxed{4} - 2} = \dfrac{\boxed{140}}{\boxed{2}}[/tex]
The above simplifies to 70
So the equation is
[tex]y = \boxed{70}x[/tex]
Part b
The interpretation is:
The heart's resting rate is [tex]\boxed{70}[/tex] beats each minute
what is the slope and y-intercept of y= 7 over 5 x−5
Merissa and mykuria are planning a trip to Orlando to celebrate graduation. They want to buy a three-day ticket to their favorite but the also need to find a place to stay during their trip. the theme park, which costs $299 per person but they also need to find a place to stay during their trip. They found a beautiful vacation rental in Orlando that has room for a number of guests and costs a total of $872.50. If Marissa and Mykuria are able to fill the room up to its maximum capacity with their friends, the price that each person would have to pay for the entire trip would be 361.25.
1. define a variable to represent the unknown.
2 write an expression for the 3-day ticket rate per person plus the total rental cost.
3 Write another expression for the total amount paid per person for the trip, assuming Marissa and mykuria are able to get enough friends to come on the trip so that the vacation rental house will be at maximum capacity.
Let x represent the number of people coming on the trip.
The 3-day ticket rate per person plus the total rental cost is 299 + 872.50 = $<<299+872.50=1171.50>>1171.50.
The total amount paid per person for the trip, assuming Marissa and Mykuria are able to get enough friends to come on the trip so that the vacation rental house will be at maximum capacity, is 361.25. This can be represented as an expression as follows:
(299 + 872.50)/x = 361.25
This equation can be rearranged to solve for the value of x, which represents the number of people coming on the trip.
Please help me urgently!!!!
Lots of points!!!
Answer:
See Picture
Step-by-step explanation:
Please help and explain how to get the answer
Answer: 55
Step-by-step explanation:
7x+13=9x+1
-1 -1
7x+12=9x
-7x -7x
12=2x
12/2=6
x=6
7*6+13=55
9*6+1=55
The probability of winning a three-person game of rock paper scissors is 1/3. If you just
won the last 2 rounds, what is the probability you will win the next round?
a. 1/27
b. 1/9
c. 2/3
d. 1/3
e. 1/18
d
it's because it is 1 event
Select the correct answer from each drop-down menu.
Consider the equation below.
x^3 - 3x^2 - 4 = 1/x-1 +5
The solutions to the equation are approximately x =
0.91 and x= *blank*
Graphing this equation x³ - 3x² - 4 = 1/(x - 1) + 5 we get one solution of approximately x = 0.91 and another one x = 3.689.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, An equation of degree 3 which is,
x³ - 3x² - 4 = 1/(x - 1) + 5.
Now by graphing this equation we get one solution of approximately x =
0.91 and another one x = 3.689.
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