One number is 6 less than a second number. twice the second number is 9 less than 5 times the first. find the two numbers
What is the square root of 120 rounded to the nearest hundredths?
Answer:
The value of the square root of 120 is 10.95
What is square root ?
Square root of the number is the factor that we can multiply by itself to get that number .
If square of a number is equal to another number than we can write
m = n²
And after taking root to both side
√m = √n²
We can cancel the square with root and
√m = n
We know the prime factor of 120
120 = 2x2x2x3x5
So the square root of 120 will be
√(2x2x2x3x5)= 2 √(2x3x5)
= 2 √(30)
And we know the value of √(30) = 5.477
Root of 120 = 2x5.477
= 10.95
Hence , the square root of 120 is 10.95 .
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A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represents the number of checks written during the month, which function models this situation?
Answer:
0.45x + 12.50
Step-by-step explanation:
5. A packet of razors and a bar of soap cost £5.50. If the soap costs £2.50 less than the razors, find the cost of each.
-4(w+3)+5w what is this answer
Is this a function? If so, write function in function notation. (0,-7), (1,-4), (2,-1), (-1,-10) Is this a function? Yes or No? If yes, write the equation.
Ken says that 9,138 rounded to the nearest thousand is 9,100
please help asap need for test
What is the m∠ABC?
m∠ABC = 15°
m∠ABC = 45°
m∠ABC = 60°
m∠ABC = 75°
Answer:
60 my vros
Step-by-step explanation:
The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. the distribution of z-scores for those times is
The distribution of the z-scores for the time it takes to solve a crossword puzzle that is strongly skewed to the right with a mean of 30 minutes and a standard deviation of 15 minutes can be calculated using the formula z=(x-mean)/standard deviation. Z-scores can be used to determine how far a data point is from the mean in terms of standard deviations.
Explanation:The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. The distribution of z-scores for those times can be calculated using the formula:
z = (x - mean)/standard deviation
For example, if a person takes 45 minutes to solve the puzzle, the z-score would be:
z = (45 - 30)/15 = 1
This means that the person's time is one standard deviation above the mean.
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how to convert 1500 ml to liters
Conversion of 1500 mL to liters is 1.5 liters.
To convert 1500 mL to liters, follow the strategy for conversions. You are starting from mL, which is a smaller unit, and want to find out how many liters this is equivalent to, with liters being the larger unit.
Firstly, we know that 1 liter is equivalent to 1000 milliliters. Since we are converting from a smaller unit to a larger unit, you will need to divide the number of mL by 1000. Therefore:
1500 mL / 1000 = 1.5 liters.
You will need to move the decimal point 3 places to the left because there are 3 zeros in 1000. So, the final step to convert 1500 ml to liters is to simply divide 1500 by 1000, which gives us 1.5 liters.
What is the rule about significant figures when multiplying and dividing measurements?
A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. what is its area in square feet
Find the sum of the polynomials below: (7x8 + 3x - 3) + (4x8 + 2x + 5)
Write the equation of the sphere in standard form. x2 + y2 + z2 + 4x − 6y − 6z = −6
To put the given equation of a sphere in standard form, complete the square for x, y, and z, and combine constant terms on the right side. The standard form of the sphere's equation is (x + 2)2 + (y - 3)2 + (z - 3)2 = 28, with a center at (-2, 3, 3) and a radius of √28.
Explanation:To write the equation of the sphere in standard form, we will complete the square for the x, y, and z terms in the given equation x2 + y2 + z2 + 4x − 6y − 6z = −6.
First, we organize the variables and separate the constants:
x2 + 4x + y2 - 6y + z2 - 6z = -6
We then complete the square for each variable by adding and subtracting the square of half the coefficient of the linear term:
x2 + 4x + 4 - 4 + y2 - 6y + 9 - 9 + z2 - 6z + 9 - 9 = -6
Now we can rewrite this as:
(x + 2)2 - 4 + (y - 3)2 - 9 + (z - 3)2 - 9 = -6
Combining the constant terms on the right side we get:
(x + 2)2 + (y - 3)2 + (z - 3)2 = 4 + 9 + 9 + 6
Which simplifies to:
(x + 2)2 + (y - 3)2 + (z - 3)2 = 28
The sphere's center is located at (-2, 3, 3) and has a radius of √28. In standard form, the equation of the sphere is:
(x + 2)2 + (y - 3)2 + (z - 3)2 = 28
The permiter of a triangle is 100 feet. the longest side is 3 feet less than twice the shortest side, and the third side is 7 feet longer than the shortest side. find the lengths of the sides of the triangle
Answer choices:
never
sometimes
not enough information provided to answer the question
always
P(A and B) means add A and B
if both A and B are both greater then 1/2
then when they are added they will always be greater than 1
A certain stock gained 5 points in one day and lost 4 points the next day. Which situation has the greater absolute value?Explain
A teacher had $57.72 in his checking account. He made a deposit of $209.54. Then he wrote a check for $72.00 and another check for $27.50. What is the new balance in his checking account?
find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius R=4 feet
The inequality of the most people that can be seated in the auditorium
My rectangular soccer field site has a length equal to three times its width. find its area in terms of its length x.
Which row in the chart correctly identifies the functions of structures A, B, and C? *
(has to no more than one option)
Row 1
Row 2
Row 3
Row4
Thx so much :)
The correct row in the chart that identifies the functions of structures A, B, and C is Row 3. In Row 3, A is responsible for photosynthesis, B transports water and nutrients, and C provides structural support.
Explanation:The correct row in the chart that identifies the functions of structures A, B, and C is Row 3.
In Row 3, A is identified as the structure responsible for photosynthesis, which is the process by which plants convert sunlight into energy. B is identified as the structure that transports water and nutrients from the roots to the rest of the plant, and C is identified as the structure that supports the plant and provides structural stability.
Can the square root of 2 be written as an infinitely long fraction
Josh wants to make a set of 12 ceramic cups. He figures he'll need 0.75 of a pound of clay for each cup. How many pounds of clay does Josh need in all?
A.) 8.4 pounds
B.) 9 pounds
C.) 12.75 pounds
D.) 16 pounds
multiply 12 x 0.75
12 x 0.75 = 9
answer is B. 9 pounds
Answer:
Josh will need 9 pounds Option B.
Step-by-step explanation:
Josh wants to make a set of 12 ceramic cups.
For each cup he will need 0.75 pound of clay
We have to calculate how many pounds of clay does Josh need for 12 ceramic cups. So we have to multiply 12 cups by 0.75.
for 12 cups he will need = 12 × 0.75 = 9 pounds.
Josh will need 9 pounds to make a set of 12 ceramic cups.
Is the remainder supposed to be this big of a number? Did I mess something up?
Write and solve an equation to solve the problem. Lisa is 4 centimeters taller than her friend Ian. Ian is 8 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 4 months, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. How tall is Ian now? Let h be Ian's height today in centimeters.
(h + 8) + (__) + 8 = ( __) + 8 + 140
Ian is __ centimeters tall now.
Please help!! I'm giving brainliest!!Suppose the number of students who prefer classical music is 64. What would be the relative frequency? Round the answer to two decimal places if needed.
(1 point)
A.0.64 B.0.25
C.0.09
D.0.11
Answer:0.9
Step-by-step explanation:
test
Translate into a numerical expression.
seven less than the product of eleven and the reciprocal of nine.
To translate the sentence 'seven less than the product of eleven and the reciprocal of nine' into a numerical expression, you would write '11*(1/9) - 7'.
Explanation:The sentence 'seven less than the product of eleven and the reciprocal of nine' can be translated into a numerical expression as follows:
Firstly, identify the main operations in the sentence. In this case, you have a product (multiplication) and a less than (subtraction) operation. The phrase 'the product of eleven and the reciprocal of nine' will be translated as 11*(1/9), since the reciprocal of nine is one over nine or (1/9).
Next, the 'seven less than' part indicates a subtraction operation. So, the complete numerical expression would be written as '11*(1/9) - 7'.
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You have one liter of lemonade concentrate that contains 10% sugar. you pour one fourth of it into a pitcher and you add water to make the final volume one liter, what is the percentage of sugar in the new pitcher?
The population of Columbus, Ohio in 2014 was about 823,000. The population of the United States was 319 million in 2014.
About how many times larger was the population of the United States than the population of Columbus, Ohio?
Please show how you got answer.