At 2 pm, the angle between the hour hand and the minute hand of a clock is 20 degrees. The calculation takes into consideration that the hour hand advances as minutes pass within an hour.
Explanation:The angle between the hour and the minute hand at 2 pm can be calculated in the following way. First, remember that a full circle, representing one hour on a clock, equals 360 degrees. So, each hour equals 30 degrees (360 divided by 12 hours). However, the hour hand also moves as the minutes pass. At 2 pm exactly, the minute hand is on 12, while the hour hand is at 2. But, the hour hand has also moved 1/3 of the way between 2 and 3 (since 20 minutes have passed in the hour). It is closer to 3 by 1/3 of 30 degrees which equals 10 degrees. Hence, the hour hand is at a position of 60 degrees (2 hours times 30 degrees per hour). Therefore, the angle between the two hands at 2 pm is 20 degrees.
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The perimeter of a rectangle is 24cm. If the length in y cm, what is the width?
3F equals -8.5 what does F equals
3F=-8.5
F = -8.5 / 3 =-2.8333333
round answer as needed
What property is 0+91=91
If 20% of the science students at Central High study on physics, 25% study chemistry and the rest study only biology, what is the smallest number of science students who could be studying biology?
Given that 20% of students are studying Physics and 25% Chemistry, the rest, which is 55% are studying Biology. In the simplest case, where the total of students is 100, the smallest number of Biology students would be 55.
Explanation:The question asks us to identify the smallest possible number of students studying biology. Given that 20% of students study Physics and 25% study Chemistry, we can emphasize that the rest are studying Biology. In the simplest situation, the total number of science students could be 100 because percentages are based on 100. Therefore, for this case, 20 students are studying Physics, 25 are studying Chemistry, and the rest which is 55, are studying Biology. Thus, the smallest possible number of Biology students can be 55.
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Evaluate -5.118 - (-4.1)
Please explain this to me? Every time I do it, I get it wrong.
Your digital camera has a 512 megabyte memory card. You take low resolution pictures requiring 4 megabytes of memory each and high resolution pictures requiring 8 megabytes of memory each. Write an equation for the number of low and high resolution pictures you can take.
The number of low and high resolution pictures that can be taken with a 512 megabyte memory card is determined by the equation 4L + 8H = 512, where L represents low resolution pictures and H represents high resolution pictures.
To determine the number of low and high resolution pictures that can be taken with a 512 megabyte memory card, we can set up an equation based on the storage requirements of each type of picture. Let's use L to represent the number of low resolution pictures and H to represent the number of high resolution pictures.
Because each low resolution picture requires 4 megabytes and each high resolution picture requires 8 megabytes, we can write the equation as:
4L + 8H = 512
This equation shows that the total memory used by L low resolution pictures and H high resolution pictures cannot exceed 512 megabytes, the capacity of the memory card.
Do b. I will say thanks
an amusement park charges 5$ for admission and 2$ for each ride write an expression for the total cost of admission and r rides How Many Rides Can U Go On If U Have 16$??
You can go on a maximum of 5 rides with $16 after paying for the $5 admission at the amusement park, where each ride costs $2.
Explanation:The amusement park charges $5 for admission and $2 for each ride. We can write an expression for the total cost as C = 5 + 2r, where C is the total cost and r is the number of rides. To find out how many rides you can go on with $16, we would set up the equation 16 = 5 + 2r.
Step-by-step solution:
Start with the formula for the total cost: C = 5 + 2r.Replace C with $16, the total money you have, to get the equation 16 = 5 + 2r.Subtract $5 (the cost of admission) from both sides to find out how much money is left for rides: 16 - 5 = 2r, which simplifies to 11 = 2r.Divide both sides by $2 to find the number of rides r: 11 / 2 = r, which simplifies to 5.5.Since you cannot go on half a ride, you could go on a maximum of 5 rides with your $16.
What is the ratio of 48 cans for $9.00
Trudy is making punch for a party. She plans to use 4 cans of frozen lemonade, 2 baskets of strawberries, and 1 can of frozen orange juice. What is the ratio of lemonade to orange juice?
How many pairs of Whole numbers have a sum of 40
What is the Value Of X in this diagram
add the fractions and write your answer in lowest terms
2/5 + 1/9
A. 1/15
B. 23/45
C. 3/14
D. 19/45
write two decimals that are equivalent to 2.50
Answer:
2.5 or 2.500
Step-by-step explanation:
Equivalent decimals are that decimal which is equal.
If we put zero on the right side of digit after decimal then it is said to be equivalent digits.
2.50 is called as 250 hundredth
2.5 is called as 25 tenth
2500 is called as 2500 thousandth
All 2.50, 2.5 and 2.500 are equal.
The two numbers that are equivalent to 2.50 are 2.5 and 2.50.
We have,
When we write a decimal number, the trailing zeros after the decimal point do not change the value of the number.
Thus, 2.5 and 2.50 represent the same value of 2.50.
The first decimal, 2.5, is the simplified or standard form of the number.
It is commonly used when the exact level of precision is not required or when rounding is involved.
In this case, 2.5 provides sufficient information about the number without the need for the trailing zero.
The second decimal, 2.50, includes the trailing zero.
This format is often used when a specific level of precision is desired or when the number is part of a larger set of numbers with consistent decimal places.
The trailing zero helps to maintain a consistent number of decimal places and can be useful in situations where exactness is important.
Thus,
Both 2.5 and 2.50 represent the same value of 2.50, with the second decimal including a trailing zero for added precision or formatting purposes.
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How many fourths are in two wholes? Use a fraction model to help you. Show two whole divided into four equal pieces. 2 dived by 1/4
what is the reciprocal of 60
In order to find the reciprocal of a number, we should just flop it over, like so:-
[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a}}[/tex]
According to the formula, the reciprocal of 60 is:-
[tex]\bigstar{\boxed{\pmb{\frac{1}{60}} \longleftarrow\sf{reciprocal~of~60}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Help me ASAP!!
A map has a scale of 1 inch = 8 miles. What is the actual distance if the distance on the map is 7.5 inches?
Affonso has 14 fewer dimes than nickels. He has 21 dimes.
Use the five-step problem-solving plan.
How many nickels does Affonso have?
Enter you answer in the box.
Carly has 2 more nickles than dimes in her pocket She has 40 cents How many nickels does carly have ? how many dimes does carly have?
Carly has 2 dimes and 4 nickels in her pocket.
Explanation:Let's assume Carly has x dimes in her pocket. Since Carly has 2 more nickels than dimes, she would have x + 2 nickels. The value of x dimes is 10x cents and the value of (x + 2) nickels is 5(x + 2) cents. Since Carly has 40 cents in total, we can set up the equation: 10x + 5(x + 2) = 40.
Simplifying the equation gives us: 10x + 5x + 10 = 40. Combining like terms gives us: 15x + 10 = 40. Subtracting 10 from both sides gives us: 15x = 30. Dividing both sides by 15 gives us:
x = 2.
Therefore, Carly has 2 dimes and 4 nickels.
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which of the following numbers that when divided by 1/2, give a result less than 1/2 ? select all that apply 3/8, 3/16,6/25,1/3
Answer:
theheckisthis thing
Step-by-step explanation:
Help pleaseeeeeeee.
What is the change in temperature from -8°F to 14°F?
11a+9=4a+30 what is the answer
Alexis said, "All prime numbers except for the number 2are odd. So all odd numbers must be prime numbers."
Do you agree with Alexis? Explain
For what values of y:is the value of the fraction 7−2y /6 greater than the value of the fraction 3y−7 /12 ?
Answer:
y<3
Step-by-step explanation:
Do you do rsm lol
y<3 is the value.
What is inequality?In mathematics, an inequality is a relation that makes a non-equal assessment between two numbers or different mathematical expressions. Its miles are used most often to evaluate numbers at the quantity line by means of their size. There are several unique notations used to represent exceptional types of inequalities:
The notation a < b means that a is less than b.
The notation a > b approach that a is greater than b.
The range of y which will satisfy this inequality will result in the first fraction of a larger value as compared to the second fraction.
Multiplying both sides of an inequality by 12, we get:
12×10>12×3y-7/12
2(7-2y)>3y-7
14-4y3y-7
14+7>3y+4y
21> 7y
3>9
y<3
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what is square root of -36?
the square root of a negative number needs to end in I
so find the square root of 36 and add an I
sqrt(36) = 6
so sqrt(-36) = 6i
solve for x.
2x^2=64
What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4? 4 32 128 512
Answer:- 512
Explanation:-
We know that [tex](m+1)^{th},\ (T_{m+1})[/tex] in the binomial expansion [tex](p+q)^n[/tex] is given by
[tex]T_{m+1}=^nC_m\ p^{n-m}q^m[/tex]
Assume that [tex]x^9y[/tex] occurs in the [tex](m+1)^{th}[/tex] term of the expansion of [tex](2y+4x^3)^4=(4x^3+2y)^4[/tex]
[tex]T_{m+1}=^4C_m\ (4x^3)^{4-m}(2y)^m[/tex]
Comparing power of x and y in [tex]x^9y[/tex] we get m=1
Thus term for m=1 [tex]=\ ^4C_1\ (4x^3)^{3}(2y)^1=^4C_1=\frac{4!}{(4-1)!1!}(64x^9)(2y)=4(128x^9y)=512x^9y[/tex]
Thus the coefficient of [tex]x^9y[/tex] is 512.
you are biking at a speed of 18mph. you are 3 miles behind your friend, who is biking at a speed of 12mph. write and solve an equation to find the amount of time it takes for you to catch up to your friend
A rectangle is nine inches longer than it is wide, and its diagonal is 10 inches longer than its width. What is the width of the quadrilateral?