Find the sum of 301 + 173 + 427 using mental math and the associative property of addition. Show how you can use the property to group the two of the address. Explain how you found the sum.
Sum Using Associative property of addition
A+(B+C)=(A+B)+C=(A+C)+B
→301 + 173 + 427
=301 +(173+427)------Combining 173 and 427 first ,as adding unit digit of both three digit number gives 0.
=301 + 600
=901
⇒Using mental math
Add Hundreds=300+100+400
=800
Add tens=73+27
=100
Ones=1
Combine these three numbers
=800+100+1
=901
What is the solution for the system of equations?
Use the substitution method to solve.
y=5−3x
5x−4y= −3
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A small business examines the income of 10 random households to determine if the community will be a good location for a store. Four of the households have an income between $30,000 - $55,000. Five of the households have an income between $70,000 - $100,000. One household has an income of over $700,000. Using the data obtained, which measure of central tendency will be greatly over-estimated?
A) mean
B) mode
C) median
D) None of the measures will be greatly over-estimated.
Answer:
mean trust me
Step-by-step explanation:
The length of the sides of a triangle are three consecutive integers. If the perimeter is 87, find the dimensions of the triangle. Show all work.
A storage tank has a height of 10 feet and a radius of 3 feet. The tank is 1/4 full of oil. How much oil in cubic feet is currently in the cylindrical tank? Leave in terms of pi
The amount of oil currently in the cylindrical tank is 45π cubic feet.
What is volume?Volume is the capacity of a solid object.
To calculate the capacity of the oil in the cylindrical tank, we use the answer below.
Formula:
V = πr²h/4........... Equation 1Where:
V = The volume of oil in the tankh = Height of the tankr = radius of the tank.From the question,
Given:
h = 10 feetr = 3 feetSubstitute these values into equation 1
V = π×10×3²/2V = π×5×9V = 45π cubic feetHence, the amount of oil currently in the cylindrical tank is 45π cubic feet.
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The volume of oil currently in the cylindrical tank that is 1/4 full is (90/4) cubic feet.
To determine how much oil in cubic feet is currently in the cylindrical tank when the tank is 1/4 full, we use the formula for the volume of a cylinder, V =
2h, where r is the radius and h is the height. In this case, the radius is 3 feet and the height of the oil will be 1/4 of the total height of the tank.
First, calculate the volume of the entire tank:
Vtotal = 2h = 2(10). Plugging in the values we get
Vtotal =
(3)2(10).
Since the tank is 1/4 full, the volume of oil in the tank will be 1/4 of the total volume: Voil = (1/4)Vtotal = (1/4)
(3)2(10) = (9/4)
(10) = (90/4)
.
Therefore, the volume of oil in the tank is (90/4) cubic feet.
Sorry me again how do I do this?
What is the value of y in the equation 2 + y = −3 ?
Solve this problem - 35q = 5
can you help me with this problem I can't find it out
A welder orders argon gas and pure oxygen. The distributor requires a minimum order of $250. A cubic foot of argon gas costs $0.75 and a cubic foot of pure oxygen costs $0.50. To summarize the situation, the welder writes the inequality: 0.75a + 0.5p ≥ 250, where a is the number of cubic feet of argon gas and p is the number of cubic feet of pure oxygen. Which graph's shaded region shows the possible combinations of argon gas and pure oxygen the welder can buy?
Answer: Its the Last one
Step-by-step explanation:,,,, HOPE it helps :}
A wall in Marcus's bedroom is feet high and feet long. If he paints of the wall blue, how many square feet will be blue?
To find the square footage of a wall painted blue, you would first calculate the total size of the wall by multiplying the wall's height and length. Then, you would multiply this number by the proportion of the wall you plan to paint blue. This will give you the number of square feet that will be coloured blue.
Explanation:This question pertains to the mathematical concept of resolving problems involving areas and percentages. Marcus's wall's total area can be calculated by multiplying the wall's length and height. However, since the measurements have not been provided in the question, let's assume their values to be 'L' and 'H' feet respectively. The area of the wall would then be simply H*L square feet.
Now, if Marcus decides to cover a certain percentage of this wall with blue paint, we must determine the total square feet being painted. If the proportion of the wall to be painted is 'P', the blue-painted area is given by H*L*P (P being a decimal representation of the given percent, i.e., 20% would be represented as 0.20).
Therefore, the number of square feet that will be blue is the product of the total wall area and the proportion to be painted blue.
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Esther wants to know if the number of words on a page in her language arts book is generally more than the number of words on a page in her social studies book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Book Mean Median Mean Absolute Deviation
Language arts 78.5 60 14.2
Social studies 68.7 65 9.8
She claims that because the mean number of words on each page of the language arts book is greater than the mean number of words on each page of the social studies book, the language arts book has more words per page. Based on the data, is this a valid inference?
Yes, because there is a lot of variability in the language arts book data
No, because there is a lot of variability in the language arts book data
Yes, because the mean is larger in the language arts book
No, because the mean is larger in the social studies book
The correct choice is, No, because there is a lot of variability in the language arts book data.
What is Mean?Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.
From the given data, it is clear that the mean number of pages of language arts book is greater than that of social studies book.
However, the mean absolute deviation is greater for language arts book and median is lower for language arts book.
This clears the fact that the variability is high for language arts book. So the number of pages could actually be less than that in social studies book.
Hence the correct option is that we cannot say a valid inference because there is a lot of variability in the language arts book data.
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convert a 30% markup percent on cost to markup percent on selling price. (round to the nearest hundredth percent)
Answer:
23.08 %
Step-by-step explanation:
Markup price is the difference between the selling price and cost price of an item.
m = Markup = 30
s = Selling price = 130
[tex]\text{Markup percent on selling price}=\frac{m}{s}\times 100\\\Rightarrow \text{Markup percent on selling price}=\frac{30}{130}\times 100\\\Rightarrow \text{Markup percent on selling price}=23.08\ %[/tex]
∴ Markup percent on selling price is 23.08 %
What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda?
1:24
24:1
1:6
6:1
I'm 100% sure the answer is D
#10 plz explain I did it and got -8 and I know that's wrong
The tennis team is selling tickets to a car wash for $6.When they do not sell very many tickets,the team decreases the price 25% what is the new cost of the ticket?
A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approximate pi. 21.5 cm² 78.5 cm² 100 cm² 178.5 cm² Circle inscribed inside a square with outside shaded, one side labeled 10 cm
YOU HAVE TO BE SURE ABOUT YOUR ANSWER BEFORE YOU POST! A slice is made parallel to the base of a right rectangular pyramid, as shown.
What is the area of the resulting two-dimensional cross-section?
Enter your answer in the box.
Answer:
[tex]7\ mm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the resulting two-dimensional cross-section is the area of a rectangle
The area of a rectangle is equal to
[tex]A=bh[/tex]
we have
[tex]b=3.5\ mm[/tex]
[tex]h=2\ mm[/tex]
substitute
[tex]A=3.5*2=7\ mm^{2}[/tex]
1:2=3:
Find the mising number
what is the area of the figure on the coordinate plane below?
What is the factorization of the trinomial below? x3 - 10x2 + 24x
Answer:
x³ - 10x² + 24x = x(x² - 10x + 24) =
x(x - 6)(x - 4)
What is another way to write 5(n-3)
what point is on the graph of every direct variation equation
In a direct variation equation, the graph passes through the origin (0,0). Every point on the graph can be represented as (kx, ky), where k is a constant.
Explanation:In a direct variation equation, the graph passes through the origin (0,0). This means that when x=0, y=0. Every point on the graph can be represented as (kx, ky), where k is a constant. For example, if the direct variation equation is y = 2x, the graph would pass through (0,0), (1,2), (2,4), (3,6), and so on.
What is the surface area of the prism
Given the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.
sides 5 inches, 8 inches, and 15 inches
A) no triangle
B) a unique triangle
C) more than one triangle
D) the answer cannot be determined
Answer:
The answer is no triangle
Step-by-step explanation:
i put this answer on my test and i got it right.
In a division problem the ____ is the original number, which is being divided by the divisor, to get the quotient.
Evaluate the expression 5m – 6 for m = 7. 29 41 5 51
When m = 7, the expression 5m - 6 evaluates to 29.
To evaluate the expression 5m - 6 for m = 7, we substitute m with 7:
5m - 6 = 5(7) - 6
Next, we perform the multiplication first:
5(7) = 35
Now we can substitute the value into the expression:
5m - 6 = 35 - 6
Finally, we perform the subtraction:
35 - 6 = 29
Therefore, when m = 7, the expression 5m - 6 evaluates to 29.
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complete a table for the rule y = x2 + 2. Use negative and positive values and 0 for x
Table:
| x | y = x^2 + 2 |
|----|-------------|
|-3 | 11 |
|-2 | 6 |
|-1 | 3 |
| 0 | 2 |
| 1 | 3 |
| 2 | 6 |
| 3 | 11 |
let's complete a table for the rule [tex]\( y = x^2 + 2 \)[/tex] by plugging in various values of [tex]\( x \)[/tex], including negative, positive, and zero, and then calculating the corresponding values of [tex]\( y \)[/tex] .
Given the rule [tex]\( y = x^2 + 2 \)[/tex], we'll substitute different values of [tex]\( x \)[/tex] into the equation and solve for [tex]\( y \)[/tex]. Here's a step-by-step process:
1. Choose values for [tex]\( x \)[/tex]. Let's pick a range of values, including negative, positive, and zero, to get a good representation of the function.
2. Substitute each chosen value of [tex]\( x \)[/tex] into the equation [tex]\( y = x^2 + 2 \)[/tex].
3. Calculate the corresponding value of [tex]\( y \)[/tex] by performing the arithmetic operations.
4. Record the pairs of [tex]\( x \)[/tex] and [tex]\( y \)[/tex] values in a table.
Here's the completed table:
| [tex]\( x \) | \( y = x^2 + 2 \)[/tex] |
|---------|-----------------|
| -3 | [tex]\( (-3)^2 + 2 = 9 + 2 = 11 \)[/tex] |
| -2 | [tex]\( (-2)^2 + 2 = 4 + 2 = 6 \)[/tex] |
| -1 | [tex]\( (-1)^2 + 2 = 1 + 2 = 3 \)[/tex] |
| 0 | [tex]\( (0)^2 + 2 = 0 + 2 = 2 \)[/tex] |
| 1 | [tex]\( (1)^2 + 2 = 1 + 2 = 3 \)[/tex] |
| 2 | [tex]\( (2)^2 + 2 = 4 + 2 = 6 \)[/tex] |
| 3 | [tex]\( (3)^2 + 2 = 9 + 2 = 11 \)[/tex] |
This table shows the relationship between [tex]\( x \)[/tex] and [tex]\( y \)[/tex] for the given rule [tex]\( y = x^2 + 2 \)[/tex], covering a range of values for [tex]\( x \)[/tex] including negative, positive, and zero.
Please put these in the correct order
big points+ brainiest