Answer:
Step-by-step explanation:
p must be a whole number because $5 which is the cost of socks per pair is a perfect divisor of the expression 5p.
i.e 5p/5 = p
And in the expression p represent number of pairs
Is 3/8 equal to 3/16 why or why not
The picture frames shown are both squares. The area of the smaller frame is 1/4 the area of the larger frame. Find the side length of the larger frame.
The side length of the larger frame will be 12 inches.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
Given that the area of the smaller frame is 36 square inches and the area of the smaller frame is 1/4 times the area of the larger frame.
The area of the larger frame will be calculated as:-
1/ 4 x Area of larger frame = Area of the smaller frame
Area of the larger frame = 36 x 4
Area of the larger frame = 144 square inches
a² = 144
a = √144
a = 12 inches
Therefore, the length of the larger frame is 12 inches.
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What’s the answer for this question?
True or false? The decimal number 25.33 is an example of a terminating decimal
Answer:
True
Step-by-step explanation:
we know that
A terminating decimal is a decimal that ends. It's a decimal with a finite number of digits
so
In this problem
The number [tex]25.33[/tex] is a decimal with a finite number of digits
therefore
The answer is True
Answer:
the answer is true :D
Step-by-step explanation:
There are 16 students in the school play. One fourth of the students are wearing yellow costumes. Six students are wearing purple costumes. The remaining students are wearing orange costumes. How many students wearing orange costumes?
If there are 500 marbles in the bag, how many are most likely green?
If an atom loses a neutron, what happens to the overall electric charge
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frig population after years?
Helen used 1/4 of her savings for her first year of college. 3/8 of that money was spent on her housing and meals. Which equation shows the fraction of her total savings that was spent on her housing and meals?
Answer:
3/32
Step-by-step explanation:
a rectangular prism has a length of 15 1/4 centimeters, a width of 8 centimeters, and a height of 2 1/4 centimeters. Enter the volume of the prism as a mixed number in simplest form in the box.
Reiki has 3/4 of a gallon of milk. She drinks one-third of the milk. How much milk does she drink?
How do you simplify 3(5 - 3x + 10y - 6z)
A finance company offers a 36-month installment loan with an APR of 10.5%. Jerry wishes to use the loan to finance an engagement ring for $21,500. After first using Table 13-1 to find the finance charge, calculate the monthly payment.
identify the type for each quadrilateral
1. Quadrilateral 5: Square (4 equal sides, 4 right angles)
2. Quadrilateral 8: Parallelogram (2 sets of parallel sides, opposite sides not equal)
3. Quadrilateral 11: Trapezoid (1 set of parallel sides, opposite sides not equal, no right angles)
The image shows three quadrilaterals, each labelled with a number:
1. Quadrilateral 5: This shape has four equal sides and four right angles. Therefore, it is a square.
2. Quadrilateral 8: This shape has two sets of parallel sides, but its opposite sides are not equal in length. It also does not have four right angles. Therefore, it is a parallelogram.
3. Quadrilateral 11: This shape has only one pair of parallel sides. Its opposite sides are not equal in length, and it does not have four right angles. Therefore, it is a trapezoid.
Which of the following should be used to show relationships, organize information, and solve problems?
box-and-whisker plots
bar graphs
pictographs
Venn diagrams
Answer:
Venn Diagrams
Step-by-step explanation:
Venn diagram: a diagram that uses circles and a rectangle to show the relationships that exist between different sets
Venn diagrams are used to organize information and solve problems.
A toy car designer measures the length of the actual car shown. A toy car is 0.05 times as long as the actual car. How long is the toy car?
If you answer you get 50 POINTS!
To find the length of the toy car, multiply the length of the actual car by 0.05.
Explanation:The question is presenting a mathematical problem concerning proportions. In this scenario, a toy car is designed to be 0.05 times the size of the actual car. To find the length of the toy car, you should multiply the length of the actual car by 0.05. For instance, if the actual car is 5 meters long, the toy car would be 0.05 * 5 = 0.25 meters long.
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Eddie has m muffins. He splits them evenly among 9 boxes. Write an expression that shows how many muffins are in each box.
To find out how many muffins are in each box, divide the total number of muffins by the number of boxes. There would be 5 muffins in each box if Eddie has a total of 45 muffins.
Explanation:To write an expression that shows how many muffins are in each box, we can divide the total number of muffins by the number of boxes. Let's call the total number of muffins 'm' and the number of boxes '9'. The expression would be:
m ÷ 9
For example, if Eddie has 45 muffins, substituting 'm' with 45 in the expression would give us:
45 ÷ 9 = 5
Therefore, there would be 5 muffins in each box if Eddie has a total of 45 muffins.
Three different rectangles have an area of 20. What are the possible whole-number dimensions of the rectangles?
This figure is made up of a quadrilateral and a semicircle.
What is the area of this figure?
Use 3.14 for pi. Round your answer to the nearest tenth.
A.) 22.8 units²
B.) 40.4 units²
C.) 45.5 units²
D.) 74.5 units²
Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length of AB is
[tex]AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}[/tex]
The length of AD is
[tex]AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}[/tex]
Since AB=AD, therefore ABCD is a square. The area of the of square is
[tex]A_1=a\times a=\sqrt{29}\times \sqrt{29} =29[/tex]
The area of square is 29 units².
The area of a semicircle is
[tex]A_2=\frac{\pi}{2}r^2[/tex]
Since AB is the diameter of the semicircle, therefore the radius of the semicircle is
[tex]r=\frac{d}{2}=\frac{\sqrt{29}}{2}[/tex]
The area of the semicircle is
[tex]A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825[/tex]
The area of the figure is
[tex]A=A_1+A_2=29+11.2825=40.3825\approx 40.4[/tex]
Therefore the area of the figure is 40.4 units². Option B is correct.
EXPERTS AND ABOVE ONLY
Need help for my friend for his 6th grade math. I have my own homework to work on right now, but i really want him to be able to get help.
The equation y = x + 1 defines the relationship between x and y, where x is the input and y is the output. Which statements about the graph of this relationship are true? Select two that apply.
A.The graph is a curved line.
B.The graph is a straight line.
C.the graph is a vertical line.
D.The graph represents a function.
E.The graph has no negative outputs.
F.The graph passes through the origin.
What is the measure of ∠DEG? A) 133° B) 103° C) 77° D) 67°
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
$8,965.21
$10,027.21
$8,966.02
$25,014.15
Answer:
C
Step-by-step explanation:
A common computer programming rule is that names of variables must be between one and eight characters long. The first character can be any of the 26 letters, while successive characters can be any of the 26 letters or any of the 10 digits. For example, allowable variable names include A, BB, and M3477K. How many different variable names are possible? (Ignore the difference between uppercase and lowercase letters.)
The total number of different variable names possible is approximately 2,096,883,896,418.
To calculate the number of possible variable names, we need to consider the constraints on the variable names:
1. The first character must be one of the 26 letters.
2. Each subsequent character can be either one of the 26 letters or one of the 10 digits, totaling 36 possible characters (26 letters + 10 digits).
We need to consider variable names of lengths from 1 to 8 characters. We'll calculate the number of possible variable names for each length and then sum them.
1. For a 1-character name:
- There are 26 possible names (one for each letter).
2. For a 2-character name:
- The first character has 26 options.
- The second character has 36 options.
- Total for 2 characters: [tex]\(26 \times 36\)[/tex].
3. For a 3-character name:
- The first character has 26 options.
- Each of the second and third characters has 36 options.
- Total for 3 characters: [tex]\(26 \times 36 \times 36\)[/tex].
4. For a 4-character name:
- The first character has 26 options.
- Each of the second, third, and fourth characters has 36 options.
- Total for 4 characters: [tex]\(26 \times 36 \times 36 \times 36\)[/tex].
5. For a 5-character name:
- The first character has 26 options.
- Each of the second, third, fourth, and fifth characters has 36 options.
- Total for 5 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36\)[/tex].
6. For a 6-character name:
- The first character has 26 options.
- Each of the second, third, fourth, fifth, and sixth characters has 36 options.
- Total for 6 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36 \times 36\)[/tex].
7. For a 7-character name:
- The first character has 26 options.
- Each of the second, third, fourth, fifth, sixth, and seventh characters has 36 options.
- Total for 7 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36 \times 36 \times 36\)[/tex].
8. For an 8-character name:
- The first character has 26 options.
- Each of the second, third, fourth, fifth, sixth, seventh, and eighth characters has 36 options.
- Total for 8 characters: [tex]\(26 \times 36 \times 36 \times 36 \times 36 \times 36 \times 36 \times 36\)[/tex].
Now we sum these values to get the total number of possible variable names:
[tex]\[\begin{aligned} \text{Total} = & \ 26 + 26 \times 36 + 26 \times 36^2 + 26 \times 36^3 \\ & + 26 \times 36^4 + 26 \times 36^5 + 26 \times 36^6 + 26 \times 36^7\end{aligned}\][/tex]
Calculating each term separately and summing them:
[tex]\[\begin{aligned} & 26 = 26 \\ & 26 \times 36 = 936 \\ & 26 \times 36^2 = 33,696 \\ & 26 \times 36^3 = 1,213,056 \\ & 26 \times 36^4 = 43,669,056 \\ & 26 \times 36^5 = 1,572,085,056 \\ & 26 \times 36^6 = 56,595,062,016 \\ & 26 \times 36^7 = 2,038,722,232,576\end{aligned}\][/tex]
Summing these:
[tex]\[\begin{aligned} \text{Total} = & 26 + 936 + 33,696 + 1,213,056 + 43,669,056 \\ & + 1,572,085,056 + 56,595,062,016 + 2,038,722,232,576 \\ \approx & 2,096,883,896,418\end{aligned}\][/tex]
HELP ASAP PLEASE WILL GIVE BRAINIEST
The side lengths of two different cubes are 35 cm and 42 cm. What is the ratio of the volume of the smaller to the volumes of the larger?
Jay made a name tag that was 15.24 centimeters long. What is the length of the tag in millimeters?
What is the area of this trapezoid? 50 in² 108 in² 126 in² 192 in² Trapezoid A B C D with parallel sides D C and A B. Points F and E are between D and C. F E B A form a rectangle with 4 right angles. D F is 2 inches, F E is 12 inches, E C is 2 inches, A B is 12 inches., and E B is 9 inches.
Answer: 126 square inches
Explanation:
Trapezoid is a quadrilateral , shape with straight sides that has a pair of opposite sides parallel.
I already attached the image of trpazoid.
Now find the area of trapazoid.
We have a formula to find the area of trapezoid.
Area of trapezoid = [tex] \frac{a + b}{2} h [/tex]
where a & b are the parallel side ( here "a" represent the upper side and "b" represent the base)
h is the height of the trapezoid (always remember heigth is the perpendicular distance)
now a = 12 inches (AB)
b = 2 + 12 + 2 (CD = CE + EF + FD) = 16 inches
h = 9 (BE)
Now put all these values in the given formula
Area of trapezoid = [tex] \frac{12 + 16}{2} (9) [/tex]
= [tex] \frac{28*9}{2} [/tex]
= 14*9
Are of trapezoid = 126 sq in (3rd option is correct)
What is the value of −6a−3b2 for a = −2 and b = 4?
A. 768
B. 12
C. −12
D. −768
How many eighth-size parts do you need to model 3/4