What is the total weight of the bags that weighed /8 pound each?
The total weight of Rice that Mark buys is given as follows:
2.5 pounds.
How to obtain the total weight?The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.
The weight of each bag is given as follows:
5/8 pounds = 0.625 pounds.
The number of bags is given as follows:
4 bags.
Hence the total weight of Rice that Mark buys is given as follows:
4 x 0.625 = 2.5 pounds.
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Solve the following equation algebraically. Show your work.
6=x+23
Answer: 23+x=6
-23 -23
1x/1 -17/1
x=-17
Step-by-step explanation:
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-6*x-(23)=0
Step by step explanation :
Pulling out like terms
Pull out like factors :
-6x - 23 = -1 • (6x + 23)
Solving a Single Variable Equation:
2.1 Solve : -6x-23 = 0
Add 23 to both sides of the equation :
-6x = 23
Multiply both sides of the equation by (-1) : 6x = -23
Divide both sides of the equation by 6:
x = -23/6 = -3.833
Therfor the answer is : x = -23/6 = -3.833
11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
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For the following situations decide what type of chi square test is appropriate. Explain.
A random sample of 200 students was asked to sample a new type of pizza that the school was considering using as a replacement for the current pizza. Each student stated if they were a freshman, sophomore, junior, or senior and also if they liked the new pizza more than the current pizza (or not). The school would like to know if there is a relationship between grade level and pizza opinion.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
In the given scenario, the Chi-square test is independent, which could be used because they would know whether it has any association among the several types of children like an old or new pizza. It does not associate discrete or factors that motivate with continuous data. In addition, only correlations among categorical data are evaluated inside the Chi-Square Independence Test, but causative inferential statistics cannot be given.
The type of chi square test that is appropriate for the following situation is Chi square test of independence.
What is chi square test of independence?Within the same population, the Chi-square test for independence looks for an association between two categorical variables.
The school would like to know if there is a relationship between grade level and pizza opinion.
Two variables' relationship is to be known.
That is why, we will use chi square test of independence.
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1) True or False: Solving a system of equations using the graphing, substitution, or elimination method will find the exact same solution.
2) True or False: Elimination can never be used to solve a nonlinear system of equations (a system where one equation is not linear).
True: Solving a system of equations using the graphing, substitution, or elimination method will find the exact same solution.
False: Elimination can never be used to solve a nonlinear system of equations (a system where one equation is not linear).
What is a system of equations?A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneously.
In Mathematics, there are three (3) main methods that are commonly used for solving a system of equations simultaneously and these include the following:
Graphing method.Substitution method.Elimination method.Generally speaking, the same solution would be obtained when any of the three (3) methods for solving a system of equations are used. However, it is completely false to state that the elimination method cannot be used to solve a nonlinear system of equations.
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Find the slope of the line
Answer:
5/6
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (3- -2)/(3 - -3)
m = (5)/(6)
m = 5/6
Find Matrix mixed questions
The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)
We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)
a) \((a^2 - b^2)\)
We can write the transpose of this matrix as
\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.
b) (A+B)(A-B)
Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)
Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)
Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.
c) ABA
Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
d) ABAB
Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)
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the sum of a rational number and a irrational number
Answer: The sum of rational and irrational number is always irrational...
Answer:
When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite recurring decimals, such as 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite non-recurring decimals, such as √ 2=1.414213562…………According to this point, people define irrational numbers as infinite non-recurring decimals. 2. All rational numbers can be written as the ratio of two integers; irrational numbers cannot.
(Rational number): A number that can be accurately expressed as the ratio of two integers. Such as 3, -98.11, 5.72727272..., 7/22 are all rational numbers. Integers and fractions are all rational numbers. Rational numbers can also be divided into positive rational numbers, 0 and negative rational numbers. Irrational numbers refer to infinite and non-recurring decimals such as: π ·The difference between irrational and rational numbers: 1. When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite cyclic decimals. For example, 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite and non-cyclic decimals. For example, √2=1.414213562…………According to this point, people define irrational numbers as infinite and non-cyclic decimals. 2, all rational numbers can be written as the ratio of two integers; irrational numbers cannot. Based on this, some people suggested that irrational numbers should be removed from the "irrational" hat, and rational numbers should be called "comparative numbers" and irrational numbers should be called "irrational numbers". Originally, irrational numbers are not unreasonable, but people don't know much about it at first. Using the main difference between rational and irrational numbers, we can prove that √2 is irrational. Proof: Assume that √2 is not an irrational number, but a rational number.Since √2 is a rational number, it must be written as the ratio of two integers: √2 = p / q Since p and q do not have a common factor to be reduced, p / q can be considered to be the reduced fraction, the simplest form of fraction. Put √2 = p / q squared on both sides Get 2 = (p ^ 2)/(q ^ 2) Is 2 (q ^ 2) = p ^ 2 Since 2q ^ 2 is an even number, p must be an even number, so set p = 2m From 2 (q ^ 2) = 4 (m ^ 2) Get q ^ 2 = 2m ^ 2 Similarly, q must be an even number, let q = 2n Since p and q are both even numbers, they must have a common factor of 2, which contradicts the previous assumption that p/q is a reduced fraction. This contradiction is caused by the assumption that √2 is a rational number. Therefore √2 is an irrational number.
.
Suppose it is 4:30 on Friday .Janice wants to go to the hardware store.it will take her 35 minutes to drive to the store from home can she make it before the store closes
Answer:
Not if store closes at 5pm. The time store closes isn’t mentioned.
Step-by-step explanation:
If it takes her 35 minutes to drive to the hardware store, she would arrive at 5:05 (4:30+:35 minutes)
Misha is building a new fence.
He has 16 feet of wood. He
cuts the wood into 4 equal
pieces. What is the length of
each piece of wood?
Answer:
Step-by-step explanation:
Easy one.
Answer: 4
Why? Cause you need 4 equal parts, so what you need to do is make a division.
16 ÷ 4 = 4
Solve inequality for 6n+12<8+8n
Answer:
n > 2
Step-by-step explanation:
6n+12<8+8n
-6n -8 < -8 -6n
4 < 2n
2< n
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle? Question 2 options: A) A cross section cut parallel with the bottom B) Cutting off one of the bottom corners C) A cut parallel to the vertical axis, directly through the vertical axis D) A cut parallel to the vertical axis, but off the vertical axis
A cut parallel to the vertical axis, directly through the vertical axis. Option C is correct.
What are axes?Axes for the figure are defined as the imaginary lines that toward which measurement of the figures are taken.
Here,
When cutting the pyramid through axis perpendicular axis to the vertical axis, the shape produced would be a quadrilateral. But when we cut the pyramid through the vertical axis it produces the triangle.
Thus, a cut parallels the vertical axis, directly through the vertical axis. Option C is correct.
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please answer fast...............................
The coordinate of point R after the rotation is determined as = ( - 4, 7).
option A.
What is the rotation of a figure?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.
You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.
When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.
The initial coordinate of point R = ( 4, 7),
The new coordinate of point R after the rotation = ( - 4, 7)
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a box of cereal is sold at a 15% markup the original price of a box of cereal is $2.20 what is at what price will the cereal be sold
Answer:
$1.87
Step-by-step explanation:
2.20*0.85=1.87
Answer:
0.33 dollars
Step-by-step explanation:
2.20=100%
15% of 2.20 is equal to 0.33
There ya go
It’s my final and I haven’t paid attention
Answer:
f(x)= (1/2)x-3
Step-by-step explanation:
Here is a picture of some sea animals. The number line on the left shows the vertical position of each animal above or below sea level, in meters.
1. How far above or below sea level is each animal? Measure to their eye level.
2. A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
3. An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
4. A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
5. The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?
Answer:
How far above or below sea level is each animal? Measure to their eye level.The jumping dolphin is approx. 6 meters under sea level
The flying seagull is approx. 8 meters under sea level
The mobula ray is approx. 2 meters under sea level
The clownfish is approx.t 4 meters under sea level
The octopus is approx. 8 meters under sea level
A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.
The flying seagull: The mobula ray is 11 meters lower than the flying seagull.
The octopus: The mobula ray is 11 meters higher than the octopus.
An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.
The flying seagull: The albatross is 3 meters lower than the flying seagull.
The octopus: The albatross is 13 meters higher than the octopus.
A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.
The flying seagull: The clownfish is 10 meters lower than the flying seagull.
The octopus: The clownfish is 6 meters higher than the octopus.
The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.
If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.
✧☆*: .。. Hope this helps, happy learning! (✧×✧) .。.:*☆✧
m < CDE is 82.5°, what is the measure of its complement?
Answer:
7.5°
Step-by-step explanation:
Complementary angles add up to 90°. 90 - 82.5 = 7.5
3. Find the equation of a line passing through the two points (4, 2) and (-3, 1).
The equation of the line passing through the two points (4,2) and (-3,1) is 7y-x-10=0
What is equation of a line?Equation of a line is an algebraic form of showing the set of points, which together forms a line in a coordinate system.
Given the line passes through the points (4,2) and (-3,1)
Here, x1=4, y1=2, x2=-3, y2=1
So, the slope of the line (m)= \(\frac{y2-y1}{x2-x1}\\\)=\(\frac{1-2}{-3-4}\\\)=\(\frac{1}{7}\)
Now we know, the equation of the line is given as,
y-y1=m(x-x1)
Putting the value of y1 and x1 in the equation we get,
y-2=\(\frac{1}{7}\)(x-4)
7y-14=x-4
7y-x-10=0
Hence the equation of the line that passes through the two points (4,2) and (-3,1) is 7y-x-10=0.
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Find the measure of the angle to the nearest degree. Make sure to include your steps. PLEASE I NEED HELPPPP FASTT
a) sin A = 0.6018
b) cos B = 0.9205
c) tan C = 0.0349
Answer:
Sure, I can help with that! Here are the steps to solve each problem:
a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.
b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.
c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.
I hope that helps! Let me know if you need any further assistance.
ITS DO TODAY HELPPPPPPP
The difference in the addition of both fractions is that they have different lowest common multiples.
How to solve Fraction Problems?We want to add the fraction expression given as:
¹/₂ + ¹/₄
Taking the Lowest common multiple of 8, we have:
(4 + 2)/8 = 6/8
However, for the second fraction expression, we have:
¹/₂ + ¹/₃
Taking the lowest common multiple which is 6, we have:
(3 + 2)/6 = 5/6
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Help me real quick? Thanks
Find a if the measure of c is 89 .
Answer:
Concept:
The opposite angles of a cyclic quadilateral are supplementary
\(\begin{gathered} \angle A+\angle C=180^0 \\ \angle C=89^0 \end{gathered}\)By applying the principle, we will have
\(\begin{gathered} \angle A+\angle C=180^0 \\ \angle A+89^0=180^0 \\ \angle A=180^0-89^0 \\ \angle A=91^0 \end{gathered}\)Hence,
The final answer for ∠A =91°
The SECOND OPTION is the right answer
Mrs. Young has p goats and q cows on his farm. He has 23 fewer cows than goats.
What are the missing values in the table?
PLSSSS QUICK
Step-by-step explanation:
35:12
40:17
45:22
50:27
55:32
Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000. What is the constant of proportionality in this inverse variation?
Answer: 45,000.
Step-by-step explanation:
The equation of inverse variation is given by:-
\(k=xy\)
, where k is the constant of proportionality.
Given: After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.
Here,
\(x_1=3,\ y_1=15000\\\\x_2=5,\ y_2=9000\)
Then, \(k=x_1y_1=3\times15000=45,000\)
or \(k=x_2y_2=5\times9000=45,000\) [answer is same in both cases.]
Hence, the constant of proportionality in this inverse variation is 45,000.
4.2.3 2 33-(-√4)√-64 -42 x 13 + 17
Answer:
208xi+53.26=261.26
Step-by-step explanation:
Please mark brainiest please I am correct
⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️ me after doing the problem
I need help please!!!
Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.
I prefer Wills method because it is easier and less complicated.
How to solve differences?Wills method:
(5x + 6x) - (2x - 1)
Subtract both 2x and -1
5x + 6x - 2x - - 1
5x + 4x + 1
In conclusion, Wills method is preferred when both methods are compared.
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PLEASE HURRY
A public radio station raised 25% more during this year's fund-
raiser than it raised last year. If p represents the amount raised
by last year's fund-raiser, which expression represents the
amount raised this year?
Answer:
1.25p
Step-by-step explanation:
p = amount raised last year
amount raised this year = p +(25% of p)
=1 p+0.25p
=p(1+0.25)
=1.25p
Find the values of x diagram is not to scale
Answer:
x=21
Step-by-step explanation:
A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to
-10 feet -
1 foot
3 feet
7 feet
3 feet
7 feet
2 feet
09 cubic feet
O 10 cubic feet
0 98 cubic feet
0 107 cubic feet
The Volume of dirt required for the Margo's garden which is made of 2 rectangular prisms is, 107 cubic feet, So option D is correct
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within closed region of every three dimensional objects.
In given problem, we have two rectangular prisms
One has sides (1 feet, 3 feet, 3 feet)
Another one has sides (2 feet, 7 feet, 7 feet)
Volume of a rectangular prism = Length×Height×Width
Volume of a rectangular prism 1 = 3×1×3 = 9
Volume of a rectangular prism 2 = 7×2×7 = 98
Total Volume = 107
Hence, Total dirt required 107 cubic feet
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Answer for brainlest!!!!
Answer:
Step-by-step explanation:
angle 2 and angle 7 are alternate exterior angles.so they are always equal.
angle 2=angle 7