Find the value of 65 rounded to the nearest tenth
The ratio of the number of boys to the number of girls is 4:5 there are 270 students at the school. For each of the following statements explain, whether the statement is true or false and why
The Statement 3: "There are exactly 30 more girls than boys". is absolutely true.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The ratio of the number of boys to the number of girls at Liam's school is 4:5 and there are 270 students at his school.
4x + 5x = 270
9x = 270
x= 30
Then, Total boys = 4(30) = 120
Total girls = 5(30) = 150
We can see that Clearly, (Number of girls) > (Number of boys)
Difference = (Total girls) - (Total boys)
= 150-120
= 30
Hence, The Statement 3: "There are exactly 30 more girls than boys". is absolutely true.
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what is 1 1/3 and 1.3 closest to 0,1,2,3 and how
What is the sum of the interior angles in a hendecagon
Which pair of angles are vertical angles?
Answer:
Option C is correct that is ∠ERT and ∠MRC are vertically opposite.
Step-by-step explanation:
Vertical angles are the angles that are exactly opposite to each other in crossed lines.
Here, ∠ERT and ∠MRC are the two angles that are vertically opposite.
Therefore, Option C is correct.
Rest all three option A,B and D are discarded.
Explain why -4 is greater than -10 even though 4 is less than 10
what would be the value of the number in the 30th position
what is 12 divided 155 WITHOUT DECIMALS
BTW the problem involves long division
Answer:
12 R11 or 12 11/12
Step-by-step explanation:
use the quadratic formula to solve 5x^2+2x-3
Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.
If no money was deposited into or withdrawn from the account, what was the annual interest rate?
Enter your answer in the box.
The annual interest rate is 6% and this can be determined by using the formula of simple interest and also by using the given data.
Given :
Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.The formula of the simple interest can be used in order to determine the annual interest rate.
The formula of the simple interest is given by:
A = P(1 + rt)
where A is the final amount, P is the principal amount, r is the rate of interest, and t is the time in years.
Now, substitute the values of the known terms in the above formula.
520 + 156 = 520(1 + 5r)
Simplify the above expression in order to determine the value of 'r'.
676 = 520(1 + 5r)
1.3 = (1 + 5r)
0.3 = 5r
r = 0.06
Now, multiply by 100 in order to determine the percentage.
r = 0.06 [tex]\times[/tex] 100
r = 6%
So, the annual interest rate is 6%.
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list the first 5 multiples and find ALL the factors of 18. Prime or Composite?
The first 5 multiples of 18 is = 18 , 36 , 54 , 72 , 90
The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18
What are Factors of a Number?
Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder
Given data ,
Let the number be A = 18
Now ,
The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18
The factor pairs of 18 is given by
Factor pairs are the two numbers that, when multiplied, give the number 18.
Therefore, pair factors of 18 are (1,18), (2,9), and (3,6)
The prime factorization of 18 is
Prime Factorization of 18 = 2 × 3²
The first 5 multiples of 18 is = 18 , 36 , 54 , 72 , 90
Hence , first 5 multiples of 18 are 18 , 36 , 54 , 72 , 90 and the factors of 18 are 1 , 2 , 3 , 6 , 9 and 18
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what are materials both the moon and Earth have?
example : both the moon and earth have craters
What is 5/9 divided by -27
The angle turns through 1-9 of the circle
3x + 2y = 2
-2x + y = 8
Solve the system of equations.
A)
(-2,4)
B)
(4,-2)
C)
(-4,-2)
D)
(5/4), (-1/2)
Create a set of 5 numbers for which the median is 6, the range is 6, and the mean is 6
Answer:
3,5,6,7,9
These are the answers
Which ordered pairs are solutions to the equation?
y = 3x – 4
A.
(11, 5) and (2, 2)
B.
(5, 11) and (3, 2)
C.
(5, 11) and (2, 3)
D.
(5, 11) and (2, 2)
if 20% is $2.80, what is the full price?
what is 9.868+6.329 =
mario travel 180 miles in 2.5 hours if mario travels at the same rate how far can mario travel in 5 hours
A expression like ( 3+5) × (4-1) is a combination of numbers and at least one operation. Fill in the blank
An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation.
Explanation:An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. In this expression, the numbers 3, 5, 4, and 1 are combined using the addition and subtraction operations. The addition operation is represented by the symbol '+', and the subtraction operation is represented by the symbol '-'. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation:
(3+5) × (4-1) = 8 × 3 = 24
A runner is 7/8 mile from the finsh line. she can travel 3/8 mile per minute,how long will it take her to finsh the race
Mr. franklin paid $33.20 for 8 gallons of gas. What is the price of 1 gallon ?
Which shows the expression below in simplified form?
(5.5 × 10^-6) - (3.7 × 10^-7)
A.
1.8 × 10^-6
B.
1.8 × 10^-7
C.
5.463 × 10^-6
D.
5.13 × 10^-6
Answer:
Option D.
Step-by-step explanation:
The given expression is [tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]
We have to write it in the simplified form.
[tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]
= [tex](5.5\times 10^{-6})-(0.37\times 10^{-6} )[/tex]
= (5.5 - 0.37)×[tex]10^{-6}[/tex]
= 5.13×[tex]10^{-6}[/tex]
Option D will be the answer.
In the election, candidate B recieved twice as many votes as candidate A. Candidate C recieved 15,000 fewer votes than candidate A. If a total of 109,000 votes were cast, how many votes did candidate B recieve?
a swimming pool has 500 gallons of water in it and is leaking. the change in the amount of water in the pool is -3 gallons per hours. how many gallons of water will the pool contain after 6 hours show your work
The swimming pool will contain 482 gallons of water after 6 hours.
Explanation:To find out how many gallons of water the pool will contain after 6 hours, we can use the formula: Volume = initial volume + rate of change * time. In this case, the initial volume is 500 gallons, the rate of change is -3 gallons per hour, and the time is 6 hours.
Using the formula, we have: Volume = 500 + (-3 * 6) = 500 - 18 = 482 gallons.
Therefore, the pool will contain 482 gallons of water after 6 hours.
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how do divide 9.54 by 1.8
Write 1/1,024 as an expression using a negative exponent other than -1
Answer:
[tex]\frac{1}{2^{10}}=2^{-10}[/tex]
Step-by-step explanation:
[tex]\frac{1}{1024}[/tex]
To get the expression with negative exponent , we need to convert the number 1024 in exponential form
[tex]1024= 2^5 \cdot 2^5= 2^{10}[/tex]
Replace the denominator by 2^10
[tex]\frac{1}{2^{10}}[/tex]
Now we apply exponential property
[tex]\frac{1}{a^m} =a^{-m}[/tex]
[tex]\frac{1}{2^{10}}=2^{-10}[/tex]
negative exponent other than -1 is [tex]\frac{1}{2^{10}}=2^{-10}[/tex]
look at problem 5 if the pattern continues will pizza and tacos be served on the same day in 21 school days?explain why not ?
Part 1: Pizza and tacos will be served on the same day again in 11 school days.
Part 2: No, pizza and tacos will not be served on the same day in 21 school days because 21 is not divisible by the LCM of 4 and 3, which is 12.
Part 1: To find the number of school days until pizza and tacos are served on the same day again, we need to find the least common multiple (LCM) of 4 and 3, which represents the cycle length for both pizza and tacos.
Find the least common multiple (LCM) of 4 and 3.
LCM(4, 3) = 12
Subtract 1 from the LCM to find the number of school days until pizza and tacos are served on the same day again.
Number of school days = LCM(4, 3) - 1
Number of school days = 12 - 1
Number of school days = 11
Therefore, pizza and tacos will be served on the same day again in 11 school days.
Part 2: To determine if pizza and tacos will be served on the same day in 21 school days, we need to check if 21 is divisible by the LCM of 4 and 3, which is 12.
Divide 21 by the LCM of 4 and 3.
21 ÷ 12 = 1, with a remainder of 9
Since the remainder is not 0, pizza and tacos will not be served on the same day in 21 school days.
Explanation: The cycle of pizza and tacos being served on the same day repeats every 12 school days (LCM of 4 and 3). If the number of school days is divisible by 12, then pizza and tacos will be served on the same day. However, since 21 is not divisible by 12 (it has a remainder of 9), pizza and tacos will not be served on the same day in 21 school days.
Complete question:
Part 1: Pizza is served in the school cafeteria every fourth school day. Tacos are served every third school day. Both pizzas and tacos are served today. In how many school days will pizza and tacos be served on the same day again? Part 2: If the pattern continues, will pizza and tacos be served on the same day in 21 school days? Explain why or why not.
bicyclist Mario Cipollini pedaled one stage of the 1999 tour de France in about 3.9 hours If he traveled about 195 kilometers what was his average speed in kilometers per hour