What is the sales tax on 178.90 if the tax rate is 5.75?
A poll has a percent error of 4%. The poll states 15,000 people will vote for Candidate A in the next election. Which statement describes what the actual number of people voting for Candidate A could be?
A. The actual number of people is either 9,000 or 21,000.
B. The actual number of people is either 14,400 or 15,600.
C. The actual number of people is either 14,423 or 15,625.
D. The actual number of people is either 14,940 or 15,060.
An online bookstore sells 0.8% of its books to foreign customers what fraction of the books or so to foreign customers
The fraction of books that were sold by the online bookstore to foreign customers is equal to [tex]\frac{8B}{100}[/tex].
Let the total number of books sold be B.Given the following data:
Percentage of books sold = 0.8%To determine the fraction of books that were sold by the online bookstore to foreign customers:
In Mathematics, a fraction can be defined as a numerical quantity that isn't a whole number. Thus, a fraction is simply a part of a whole number.
First of all, we would convert the percentage of books sold in decimal to fraction.
Conversion:
0.8% = [tex]= \frac{8}{100}[/tex]
Next, we would multiply the total number of books sold by this fraction:
[tex]Fraction\;sold =\frac{8}{100} \times B\\\\Fraction\;sold =\frac{8B}{100}[/tex]
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Angles are preserved in which of the following types of transformations?
I. rotations
II. reflections
III. translations
A.
I and II only
B.
I only
C.
I, II and III
D.
I and III only
Answer:
Correct option is C
Step-by-step explanation:
we have to tell that in which type of transformation angle are preserved.
Rotation:
This transformation turns a figure about a fixed point and the fixed point is known as the centre of rotation. The figures which goes through rotation has same angle as that of original figure.
i.e Rotation transformation preserves angle.
Reflections:
This transformation flip a shape over a line.
Angles also preserve in this type of transformation.
Translations:
This transformation involves sliding a shape. The figure only translate right left i.e shape or angle preserve i.e not changed.
Hence, the angles are preserve in in all three type of transformations that are rotation, reflection and transformation.
∴ Correct option is C
All three types of transformations (rotations, reflections, and translations) preserve angles, making the correct answer C. I, II and III.
The question is about determining which types of transformations preserve angles.
There are three main types of transformations to consider: rotations, reflections, and translations.
Angle Preservation in Transformations
Rotations: This type of transformation preserves both distances and angles. When an object is rotated, the angles within the object remain unchanged.Reflections: A reflection across an axis also preserves angles, though it changes the orientation (handedness) of the figure.Translations: Moving an object from one place to another without rotating, reflecting, or resizing it also preserves the angles within the object.Because all three types of transformations (rotations, reflections, and translations) preserve angles, the correct answer is C. I, II and III.
How many products of 10 are in 10 to the 6th power
How do you do this? Why's the answer??
whats the common difference in the sequence -4.3,-3.2,-2.1,-1
Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
Answer:
b
Step-by-step explanation:
explain how you could use a hundred chart to find the missing number 63+?=87
Answer:
Step-by-step explanation:
Alright, lets get started.
The given is :
[tex]63+?=87[/tex]
Suppose the asked number is x, so
[tex]63+x=87[/tex]
It means we need to find x.
If we subtract 63 from both sides, the give equation will become:
[tex]63+x-63=87-63[/tex]
[tex]x=24[/tex]
So the missing number is 24 : Answer
Brian bought a pair of jeans that was on sale for one third of its original price. Including the 3.76 sales tax, he paid $29.17. What was the original price of the jeans?
could use some help on 22
Show how to use known facts to find 6 x 9. Explain how you chose the facts you did
9g+2=20 please help
how do you write 70% as a fraction in simplest form ?
To convert 70% to a fraction, write it as 70/100 and simplify by dividing both the numerator and the denominator by 10 to get 7/10.
To convert 70% to a fraction in simplest form, you first write it as a fraction with a denominator of 100, which would be 70/100. Then, to simplify the fraction, you find the greatest common divisor (GCD) that 70 and 100 have in common. Both numbers are divisible by 10, so when you divide both the numerator and the denominator by 10, you get 7/10. In this simplest form, the numerator is 7 and the denominator is 10, which is the fraction equivalent of 70%.
Molly and her sister each have 118 shells. How many shells do they have all together
How many times does 48 going to 230
The number 48 goes into 230 four times if you are counting whole times only. However, the exact answer with decimal places is 4.79.
Explanation:The question is asking how many times the number 48 goes into the number 230. You can answer this by performing division. If you divide 230 by 48, you get approximately 4.79. However, if you are looking for a whole number answer, 48 goes into 230 four times with a remainder. There would be a remainder because 48 does not evenly go into 230.
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Write a decimal that is less than 5.89 and greater than 4.27
the ratio of cats to dogs seen by a veternarian in one day is 2 to 5.If a vet saw 40 dogs in one day how many cats did he see
a certin shade of green paint is made from 5 parts yellow mixed with three parts blue. if 2 cans of yellow are used, how many cans of blue should be used?
a bag contains green, yellow, and orange marbles. the ratio of green marbles to yellow marbles is 2:5. The ratio of yellow marbles to orange marbles is 3:4. What is the ratio of green marbles to orange marbles?
answer (2x-12)+(1/2xy-10) x=8 y=2
One third of eleven sixteenths
Robert can run 1/2 of a mile in 1/15 of an hour. How many miles can Robert run in an Hour?
1/2) / (1/15) = x / 1.....1/2 mile to 1/15 hr = x miles to 1 hr
cross multiply
1/15x = 1/2
x = 1/2 * 15
x = 15/2 or 7 1/2 miles per hour
Hope this helps
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2x + 4y = 22
What is the y-intercept?
Rita checked out 7 books from the library. She had 2non-fiction books. The rest were fiction. What are three different ways to write the ratio of non-fiction to fiction?
Step-by-step explanation:
To write the ratio of non-fiction to fiction books, we need to compare the number of non-fiction books to the number of fiction books.
1. The first way to write the ratio is in the form of a fraction. We can express the number of non-fiction books as the numerator and the number of fiction books as the denominator. In this case, the ratio would be 2/5 since Rita had 2 non-fiction books out of a total of 7 books.
2. The second way to write the ratio is using a colon (:). We can write the number of non-fiction books followed by a colon and then the number of fiction books. In this case, the ratio would be 2:5.
3. The third way to write the ratio is as a word ratio. We can use the words "non-fiction" and "fiction" to describe the ratio. In this case, the ratio would be "2 non-fiction books to 5 fiction books."
These three different ways to write the ratio of non-fiction to fiction provide different formats for expressing the relationship between the two types of books. Each format can be used depending on the context or preference.
A women who is 5 feet 5 inches tall is standing near the Space Needle in Seattle, Washington. She casts a 13-inch shadow at the same time that the Space Needle casts a 121 foot shadow. How tall is the Space Needle
To find the height of the Space Needle, a proportion is set up comparing the woman's height and shadow length to the Space Needle's shadow length. The calculation reveals that the Space Needle is approximately 60.83 feet tall.
Explanation:The student is asking to solve a proportion problem to determine the height of the Space Needle in Seattle, Washington. This is based on the concept of similar triangles where two figures have the same shape but different sizes, and the sides are in proportion. Since the woman who is 5'5" (which is equivalent to 65 inches) tall casts a 13-inch shadow, we can set up a proportion where the height of the Space Needle is to its shadow (121 feet or 1452 inches) as the woman's height is to her shadow. The proportion looks like this:
Height of Space Needle / 1452 inches = 65 inches / 13 inches
By cross-multiplication, we can solve for the height of the Space Needle:
Height of Space Needle * 13 inches = 65 inches * 1452 inches
Height of Space Needle = (65 * 1452) / 13
Height of Space Needle = 9490 / 13
Height of Space Needle = 730 inches
To convert this back to feet, we divide by 12, since there are 12 inches in a foot:
Height of Space Needle = 730 inches / 12 inches/foot = 60.83 feet (approximately)
Therefore, the Space Needle is approximately 60.83 feet tall, based on the given shadows and the woman's height.
Which of the following represents a statistical question
Answer:
What is the question?
Step-by-step explanation:
A moving van has an interior height of 7 feet 9 (84in). You have boxes in 12 inch and 15 inch heights, and want to stack them as high as possible to fit. Write an inequality that represents this situation
To represent this situation, we create the inequality 12x + 15y ≤ 84, where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes stacked.
Explanation:To represent this situation, we can create an inequality based on the height of the moving van and the heights of the boxes. Let's define variables for the number of 12 inch boxes and 15 inch boxes stacked. Since we want to stack them as high as possible, we want the sum of the heights to be less than or equal to the interior height of the van:
12x + 15y ≤ 84
where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes.
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Tina has 3/5 pound of rice. she will use 2/3 of it to make fried rice for her family. how much rice will Tina use to make fried rice?
Fraction number is the number which is expressed as a part of a whole.
Tina uses total 6/15 pounds of amount to make the fried rice.
What is fraction number?Fraction number is the number which is expressed as a part of a whole. The fraction number are written with numerator and a denominator.
Given information-
Total amount of rice Tina has 3/5 pound.
The amount she used to make the fried rice is 2/3.
As the the amount she has earlier is in the fraction number, and the she made the fried rice with again a fraction amount of the original quantity.
Thus to find the amount she used to make fried rice from the total amount ,we have to multiply the used rice to the total rice.
Suppose she used x amount of rice to make the fried rice from the total rice. Thus,
[tex]x={\dfrac{2}{3}}\times{\dfrac{3}{5}}[/tex]
[tex]x=\dfrac{6}{15}[/tex]
Hence Tina uses total 6/15 pounds of amount to make the fried rice.
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Final answer:
Tina will use 2/5 of a pound of rice to make fried rice. This is determined by multiplying 3/5 (the total amount of rice she has) by 2/3 (the portion she will use) and simplifying the result.
Explanation:
To find out how much rice Tina will use to make fried rice for her family, we start by identifying the amount of rice she has, which is 3/5 pound of rice. Next, we need to calculate 2/3 of that quantity since she will use that fraction for the fried rice. To do this, we multiply 3/5 by 2/3.
First, multiply the numerators: 3 x 2 = 6.
Then, multiply the denominators: 5 x 3 = 15.
So, 3/5 x 2/3 = 6/15.
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. Therefore, 6/15 simplifies to 2/5.
The final answer is that Tina will use 2/5 of a pound of rice to make the fried rice.
James was able to correctly name 11 major highways,4 mountains,86 major cities,and 9 bodies of water on a map.How many places on the map did James identify?Explain how you can use compatible numbers to help calculate the sum
Using the mathematical operation of addition, we know that James identified a total of 110 places on the map.
What is addiction? In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation. It is one of the fundamental mathematical operations we employ on a daily basis. We employ number addition in a variety of contexts. When working with time or money, such as when adding up invoices and receipts, adding numbers is one of the most frequently used operations in daily life. The "+" sign is used to denote the addition of numbers (also called the plus symbol).The places which James correctly named on the map are:
11 major highways4 mountains86 major cities 9 water bodiesSo, to know how many of the places James identify, we should take the sum of all the places as follows:
11 + 4 + 86 + 9110Therefore, using the mathematical operation of addition, we know that James identified a total of 110 places on the map.
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