Answer: hundredths place
Step-by-step explanation:
Hundredths place is the second number after the decimal point
Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error.
12 cartons(÷22.20)
$22.22(÷22.20)
Unit price = $0.54
$0.54(7) = $3.78
Answer ; Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Answer: you would divide the total price of $22.20 by the amount of cartons, which is 12, giving you the unit rate of $1.85 per carton. the unit rate, $1.85 multiplied by 7 is $12.95, so it would cost $12.95 for 7 cartons of eggs
Step-by-step explanation:
Answer:
Step-by-step explanation:
the person up is right
50 Points!!! Solve each inequality. Then graph the solution set on a number line. Photo attached
50
Step-by-step explanation:
plot it on the number line
A man's gross income is R500 000. He worked at different places throughout the year
and a total of 17% of his earnings was deducted by his employers as PAYE throughout
the tax year. He qualifies for a rebate of R13 257. Calculate how much tax he still
owes. Information taken from the tax table shows that, for a taxable income between
R393 201 and R550 100, R93 135 + 36% above R393 200 needs to be paid.
O R101 678
O R71 774
O R33 326
O R25 191
<
Previou
Next >
The man still owes R87,726 in taxes.
To calculate the tax amount the man still owes, we need to determine his taxable income first.
Gross income: R500,000
Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000
Taxable income: R500,000 - R85,000 = R415,000
Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.
Tax owed: R93,135 + 36% of (taxable income - R393,200)
Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)
Tax owed: R93,135 + 0.36 * R21,800
Tax owed: R93,135 + R7,848
Tax owed: R100,983
Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.
Tax owed - Rebate: R100,983 - R13,257 = R87,726
Therefore, the man still owes R87,726 in taxes.
The correct option is not provided among the given answer choices.
for such more question on tax amount
https://brainly.com/question/16950901
#SPJ8
Are they all right? If not please tell me what the answers are. Thanks! (Math)
Answer:
yes
Step-by-step explanation:
They are absolutely correct. Good Job
I need the answer so quickly
Answer: 1/6
Step-by-step explanation:
A dice has 6 sides. You can have 36 different combinations for 2 dices.
(6 x 6 = 36)
You can get 7 as your total from 6 different combinations.
1 + 6 and 6 + 1
2 + 5 and 5 + 2
3 + 4 and 4 + 3
This means you have a 6/36 chance to get 7 as your total from 2 dices.
When simplified, your answer is 1/6.
Make and label the dimensions of four prisms, each with a volume of 1 dm3 (a cubic decimeter)
- Make one a rectangular prism that is not a cube.
- Make one a tall triangular prism.
- Make one a trapezoidal prism.
- Make one an octagonal prism.
Explain your thinking for each prism.
Prove that each prism has a volume of 1 dm3
The calculation of volume for the different kind of prisms are:
Rectangular Prism- 1 dm³
Tall triangular prism- 1 dm³
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.
Rectangular prism: A rectangular prism that is not a cube can have dimensions of 0.5 dm x 0.5 dm x 4 dm.
This gives a volume of:
0.5 dm x 0.5 dm x 4 dm = 1 dm³
The rectangular prism has six faces, all of which are rectangles.
Tall triangular prism: A tall triangular prism can have a triangular base with sides of length 1 dm, 1 dm, and 2/√3 dm, and a height of 2√3/3 dm. This gives a volume of:
(1 dm x 1 dm x 2/√3 dm) x (2√3/3 dm) = 1 dm³
The tall triangular prism has five faces, one of which is a parallelogram and the other four are triangles.
To prove that each of these prisms has a volume of 1 dm³, we can use the formula for the volume of a prism, which is:
Volume = Base Area x Height
For each of the prisms above, we have calculated the base area and height such that their product equals 1 dm³.
Therefore, each prism has a volume of 1 dm³.
To know more about Volume check:
https://brainly.com/question/13338592
#SPJ9
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
A 25 ft ladder is leaning against a building.The base of the ladder is 6 ft away from the building.How high up is the ladder?
Applying the Pythagorean Theorem, the ladder's height from the ground is: 24.3 ft.
How to Apply the Pythagorean Theorem?If we know any two sides of a right triangle, the Pythagorean Theorem can be used to find the length of the third side, c, if c is the longest side, and a and b are the shorter sides of the right triangle, we ill have the equation:
c² = a² + b².
The ladder forms a right triangle with the wall of the building. Therefore:
c = length of the ladder = 25 fta = distance of base of the ladder from the building = 6 ftb = how high the ladder is up on the wall of the buildingSubstitute
25² = 6² + b²
b = √(25² - 6²)
b = 24.3 ft.
Learn more about the Pythagorean Theorem on:
https://brainly.com/question/343682
#SPJ1
Part A
A grading machine can grade 96 multiple choice tests in 2 minutes. Suppose a teacher has
300 multiple choice tests to grade.
Write a proportion that could be used to predict the number of minutes it will take the
machine to grade the 300 tests. Use x to represent the number of minutes. As fractions
The number of minutes it will take the machine to grade the 300 tests is 25/4 minutes
What is proportions?In general, the term "proportion" refers to a part, share, or amount that is compared to a whole.
According to the definition of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilized.
How to find the number number of minutesThe number of number of minutes is calculated using proportions
96 tests = 2 minutes
300 = ?
cross multiplying
96 * ? = 2 * 300
? = 600 / 96
? = 25/4
Using this proportion, the number of minutes required is 25/4 minutes
Learn more about proportions at:
https://brainly.com/question/29786310
#SPJ1
The diagram shows the height of a cone that holds ice cream. The cone has a volume of 4.5 π cubic inches. Which measurement is closest to the radius of the cone in inches?
On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.
Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
6
Factor the expression.
4z- 28
Answer:
Simplifying
4z = 28
Solving
4z = 28
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Divide each side by '4'.
z = 7
Simplifying
z = 7
Write inequality shown by shaded region on graph. Line x+y=5
Given the line x+y=5, solving for y,
\(\Rightarrow y=5-x\)Notice that, at x=5, the values of y in the shaded region are y=1,2,3,...>0
Therefore,
\(\Rightarrow y\ge5-x\)The inequality whose solution is the shaded region is y>=5-x
A golf ball is hit with an initial velocity of 140 feet per second at an inclination of 45 degrees to the horizontal. In physics, it is established that the height h of the golf ball is given by the function h(x)=(-32x^2/140^2)+x, where x is the horizontal distance that the golf ball has traveled. Complete parts (a) through (g). Use a graphing utility to determine the distance that the ball has traveled when the height of the ball is 80 feet. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
The distance that the ball has traveled when the height of the ball is 80 feet is either about 9.86 feet or about 3.64 feet.
We are given that;
Velocity= 140feet
Inclination= 45degrees
Function h(x)=(-32x^2/140^2)+x
Now,
To find the distance that the ball has traveled when the height of the ball is 80 feet, we need to solve the equation:
h(x) = 80
Substituting h(x) with the given function, we get:
(-32x2/1402) + x = 80
Multiplying both sides by 140^2 and simplifying, we get:
-32x^2 + 140x - 11200 = 0
Dividing both sides by -32 and simplifying, we get:
x^2 - (35/4)x + 350 = 0
Using the quadratic formula, we get:
x = [ (35/4) ± √( (35/4)^2 - 4(350) ) ] / 2 x ≈ 9.86 or x ≈ 3.64
Using a graphing utility, we can confirm that these are the approximate x-intercepts of the function h(x) - 80.
Therefore, by graphing the answer will be about 9.86 feet or about 3.64 feet.
Learn more about graphing functions here:
https://brainly.com/question/14455421
#SPJ1
The weight of eggs is shown. Identify the constant of proportionality of total weight to number of eggs.
The weight of the egg is 6 eggs is 276 g.
Answer:
46 Grams Because You Take 276 And Divide It By 6
A car travels along a straight road 100 m east then 50 m west. Find distance and displacement of the car.
Given parameters:
First move = 100m east
Second move = 50m west
Unknown:
Distance = ?
Displacement = ?
Solution:
Distance is total path length covered
Displacement is the distance in a specific direction from start to finish.
-----------------------→
100m
←---------
50m
So,
Distance = first move + second move = 100 + 50 = 150m
Displacement = 100 - 50 = 50m due West
solve for C using law of cosine tuned to the nearest tenth
The value of angle C is calculated by applying cosine rule as 50.67 ⁰.
What is the value of C?The value of angle C is calculated by applying cosine rule as shown below;
c² = a² + b² - 2ab cosC
The given parameters in the diagram;
length a = 22
length b = 18
c = 20
The value of angle C is calculated as;
20² = 22² + 18² - (2 x 22 x 18) cos C
792 cos C = 502
cos C = 502/792
cos C = 0.6334
C = arc cos (0.6334)
C = 50.67 ⁰
Learn more about cosine rule here: https://brainly.com/question/30918098
#SPJ1
Describe the series of rigid motion transformations which map polygon A to Polygon A'''. Are the two polygons congruent? Explain how you know.
(someone please help me!)
The series of rigid motion transformations that map polygon A to Polygon A''' are;
A rotation of 145° about the origin to map A to A'A reflection across the x-axis to map A' to A'A translation of four units to the right and one unit downWhat is a rigid transformation?A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.
The series of rigid motion transformations that map polygon A to polygon A''' are;
Transformation from A to A'
The angle in the diagram in the question indicates the rotation of polygon A to produce polygon A' is a rotation of 145° about the origin.Transformation from A' to A''
The coordinates of the vertices of triangle, A' (0.9, 4.1), (3.1, 5.9), (5.5, (2.5) and the vertices of triangle A'' (0.9, -4.1), (3.1, -5.9), (5.5, -2.5), indicates that the transformation is a reflection about the x-axisTransformation from A'' to A'''
The arrow of the translation transformation indicates that the transformation is a translation of four units to the right and 1 unit down.Learn more about rigid transformations in geometry here:
https://brainly.com/question/2222755
#SPJ1
B(c) is a function
True
or
False
Answer: False :)
Step-by-step explanation:
A triangle has sides with lengths 8, 15, and 17.
a. Verify this is a Pythagorean triple.
Type your response in the space below.
b. Approximate the acute angles in this triangle. Round each angle to the nearest degree.
Type the answers in the boxes below.
The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.
What is Pythagoras TripleA Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.
In this problem, we can we can check if the values are for a right angle triangle.
Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.
c = hypothenuse = 17a = leg = 15b = 8c² = a² + b²
17² = 15² + 8²
289 = 225 + 64
289 = 289
From the calculation above, the values of is a Pythagorean triple.
Learn more on Pythagorean triple here;
https://brainly.com/question/15190643
#SPJ1
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
To begin a bacteria study, a petri dish had 3000 bacteria cells. Each hour since, the number of cells has increased by 12%.
Lett be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
which relation by a graph is a function?
i cannot fit the 3rd graph in the pic brw
Neither of the graphs in the picture is a function
To be a function it needs to pass the vertical line test, which both of them fail.
Janet's recipe calls for 3 cups of flour for every 2 cups of sugar. How much sugar does
Janet need, when she uses 9 cups of flour?
a) 6 cups b) 2⁄3 cup c) 8 cups d) 5 cups
Answer:
a) 6 cups
Step-by-step explanation:
Use a ratio equation to solve:
3/2 = 9/x
Cross multiply to get:
3x = 18
Solve for x:
x = 6
Answer: a) 6 cups
Step-by-step explanation: The 3 cups to get to 9, is really double the amount, so if you double 3 then you double 2 and get 6. 3*2=6
Select all statements that are true.
Answers:
A, B, D, E
Nearly everything except choice C is true.
====================================================
Explanation:
Choice A is true because sine = opposite/hypotenuse.Choice B is true as well because cosine = adjacent/hypotenuseTangent is opposite/adjacent. The 4/9 should be 9/4. Therefore, choice C is false. If beta was theta, then tan(theta) = 4/9 would be true.Choice D is true because of the pythagorean theorem a^2+b^2 = c^2.Choice E is true because tan = opposite/adjacent, and the 9 and 4 are in the correct order (see choice C).Which one or more of the following pairs of displacements cannot be added to give a resultant displacement of 2 meters?
a) 1 m and 1 m
b) 1 m and 2 m
c) 1 m and 3 m
d) 1 m and 4 m
Answer is (d). 1m & 4 m. The magnitude of the result of P + Q is between P + Q and P - Q. The magnitude of the resultant is between 3 and 5 meters when the displacement is between 1 and 4 meters.
A resultant displacement is produced when displacement vectors are added. However, as long as two vectors have the same vector amount, any two vectors can be added. A resultant velocity is produced when two or more velocity vectors are added. A resultant force is created when two or more force vectors are joined together.
S = x^2 + y^2 is the displacement formula that results. For displacement, use the letter "S." The object is moving in two directions at once: X in the first direction and Y in the second. Y = 0 if your object only moves in one direction.
verify option 1:
(1,1) = P+Q = 1+1=2
P-Q = 1-1 =0
Resultant R = 2+0 = 2 (so, we can add this Option)
verify option 2:
(1,2) = P+Q = 1+2=3
P-Q = 1-2 =-1
R= 3-1= 2 (so, we can add this Option)
verify option 3:
(1,3) = P+Q = 1+3=4
P-Q = 3-1 = 2
R= 4-2= 2 (so, we can add this Option)
verify option 4:
(1,4) = P+Q = 1+4=5
P-Q = 1-4 = 2
R= 5-2= 3 (so, we can't add this Option)
To learn more about resultant displacement Visit : brainly.com/question/28882093
#SPJ4
Each square has a side length of 12 units. Compare the areas of the shaded regions in the 3 figures. Which figure has the largest shaded region? Explain or show your reasoning.
Answer:
The shaded region in all of the answers are equal.
Step-by-step explanation:
Since squares have equal sides, the area of each square is 12 squared or 144.
The area of the circle in A is pi*radius squared. The diameter is 12, because that is the side length of the square. This means the radius is 6 because the radius of a circle is always half the diameter. So, the area equals 36pi.
The area of the shaded region of A is 144-36pi.
In B, the diameter of each circle is half of what it was in the circles in answer A. So, the diameter is 6 and the radius is 3. The area of each circle is 9pi, and 9 pi * 4 circles is 36pi.
The area of the shaded region of B is 144-36pi.
In C, the diameter of each circle is a third of what it was in the circles in answer A. So, the diameter is 4, and the radius is 2. The area of each circle is 4pi, and 4pi * 9 circles is 36pi.
The area of the shaded region of C is 144-36pi.
The length of a rectangle is 10 cm what is the width if the area is 60 cm
the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.
what is rectangle ?An example of a quadrilateral is a rectangle, which has four vertices that are all 90 degrees apart and parallel sides that are equal to one another. As a result, it is sometimes referred to as an equiangular quadrilateral. The rectangle is a 2D shape with 4 sides, 4 corners, and 4 right angles. The length of each pair of the diagonal sides of a rectangle is equal, with one pair being longer than the other. If all the sides of a rectangle were the same size, the shape would be referred to as a square.
given
Consequently, the rectangle has a length of 10 cm and an area of 60 cm2.
Since,
Area of a rectangle equals length times width
=60=10*breadth
width is 60/10.
= 6 cm in breadth.
the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.
To know more about rectangle visit :-
https://brainly.com/question/29123947
#SPJ1
Could you use a Paired t-Test to determine if there is a difference between the means of the 2 groups. Type YES or NO
A paired t-test can be used to determine if there is a difference between the means of the two groups.
YES.
A paired t-test is appropriate for determining if there is a significant difference between the means of two groups when the data is paired or dependent. This test compares the means of two related samples to evaluate if the difference between them is statistically significant.
In a paired t-test, each observation in one group is paired or matched with a corresponding observation in the other group. The test examines the difference between the paired values and determines if that difference is significantly different from zero.
By calculating the t-statistic and comparing it to the critical values from the t-distribution, along with the degrees of freedom, we can assess if there is a significant difference between the means of the two groups.
Therefore, a paired t-test can be used to determine if there is a difference between the means of the two groups.
for such more question on paired t-test
https://brainly.com/question/15870238
#SPJ8
Adam is a team leader for a packing and moving company. Today, his team packed 72 boxes in 4 hours. What was his team's packing rate, in boxes per hour?
A.
20 boxes per hour
B.
18 boxes per hour
C.
21 boxes per hour
D.
17 boxes per hour
Answer: 18 boxes per hour
Step-by-step explanation:
72 divided by 4 is 18
ralph just received his june flash card bill.He did not pay his may bill in full, so his june bill show a previous balance & a finance charge . The average daily balance is $470,& the monthly periodic rate is 1.5% what should ralph’s finance charge be?
According to the Ralph's finance charge should be $7.05.
What is finance?Finance is the management of money and other financial resources, such as investments and banking. It involves the study of how people, businesses, and governments raise, allocate, and use monetary resources over time, taking into account the risks involved. Finance is an essential component of the global economy because it affects almost all areas of life, including how individuals and companies purchase goods and services, invest their money, and how governments fund public services.
To calculate the finance charge, you need to first calculate the monthly periodic rate (MPR), which is the interest rate charged on the average daily balance for that month. In this case, the MPR is 1.5%.
To calculate the finance charge, you need to multiply the MPR by the average daily balance for that month. In this case, the average daily balance is $470, so the finance charge will be $470 x 1.5% = $7.05.
To learn more about finance
https://brainly.com/question/29367954
#SPJ1