Answer:
Step-by-step explanation:
There are 256 people in a room. If they are divided into groups of 4, how many groups are there?
Answer: 64
The ratio of Mr.X's score to Mr.Y's score was 8:9. If Mr.Y had scored 30 marks lower, the ratio would have had been 4:3. How many marks did Mr.Y score?
Answer:
Step-by-step explanation:30 x 2 = 60 because 8:9 get simplify by 2 and you just times the 30 with 2
Answer:
Let the common multiple be x
John's score is 8x Peter's is 9x
8x/9x-30=4/3
24x=36x-120
12x=120
x=10
John's score is 8 x 10=80
Correct me if im wrong:)
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a student has scores of 77, 77.25, and 81.25 on his first three tests. he needs an average of at least 80 to earn a grade of b. what is the minimum score that the student needs on the fourth test to ensure a b?
The student needs a minimum score of 84.5 on the fourth test to ensure a grade of B.
To find the minimum score the student needs on the fourth test, we can use the formula for the average of four numbers:
Average = (sum of the numbers) / 4
We know that the student needs an average of at least 80 to earn a grade of B, and we also have the scores for the first three tests: 77, 77.25, and 81.25. So, we can set up the equation:
80 = (77 + 77.25 + 81.25 + x) / 4
where x is the score the student needs on the fourth test. Solving for x:
80 = (235.5 + x) / 4
320 = 235.5 + x
x = 320 - 235.5
x = 84.5
So, the student needs a minimum score of 84.5 on the fourth test to ensure a grade of B.
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an army regiment with 400 soldiers has provision for 80 days. if 80 soldiers moved out of the regiment, how long would the food last at the same rate?
Answer: If the army regiment had 400 soldiers with provisions for 80 days, the food would last each soldier for 80 days / 400 soldiers = 0.2 days per soldier.
If 80 soldiers moved out, the number of soldiers remaining in the regiment would be 400 soldiers - 80 soldiers = 320 soldiers.
Since the amount of provisions has not changed, the food would last for 80 days / 320 soldiers = 0.25 days per soldier.
Therefore, the food would last the 320 soldiers for 0.25 days * 320 soldiers = 80 days.
Step-by-step explanation:
What is the measure of ∠w? and What is the measure of ∠y?
Answer:
angle w = 50; angle y = 130
Step-by-step explanation:
because of supp. angles, y + w = 180
12x-2+4x+6=180
16x+4=180
16x=176
x=11
to calculate, sub 11 in
w = 4(11) + 6 = 50
y = 12(11) - 2 = 130
10. Best Buy is having a 15% off sale on brands of computer regularly priced at $2250 How much does Jerome save on the computer the sales tax is 7. 5% what is the amount of on the computer How much is the total cost for the computer What would be the total price for the computer on sale
The total cost of the computer is $2418.75.
The total cost of the computer in sale $2,056.
The computer is regularly priced at $2250.
With the 15% discount, Jerome would save = $2250 × 15%
With the 15% discount, Jerome would save = $2250 × 15/100
With the 15% discount, Jerome would save = $337.50 on the computer
The sales tax is 7.5%.
So the tax on the computer would be = $2250 × 7.5%
The tax on the computer would bee = $2250 × 7.5/100
The tax on the computer would be = $168.75
The total cost for the computer on sale would be = $2250 - $337.50
The total cost for the computer on sale would be = $1,912.5
If the tax is 7.5% .
So he has to pay = $1,912.5 + $1,912.5 × 7.5% = $2,056
Therefore, the total price for the computer on sale would be $2,056,
The price of the computer not on sale = $2250 + $168.75 = $2418.75.
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A large milling machine shaves 2-in. from a plate that is 1 in. thick. What is the thickness of the plate after one pass? What is the thickness of the plate after three passes?
The thickness of the plate after one pass is 1 21/ 32 and after three pass is 1 7/32 in.
How to convert mixed fractions?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
An inappropriate fraction is created by adding the numerator to a mixed fraction after multiplying the denominator of the proper fraction by the whole number it is related to.
How change a fraction into a mixed fraction?
By denominator, divide the numerator.
Take the quotient as a whole number and use the remaining amount as the proper fraction's numerator while maintaining the original denominator.
Given that the thickness of the plate is 1 7/8 in.
Convert the mixed fraction into improper fraction:
1 7/8 = 15/8
The machine shaves of 7/32 in, thus after one pass we have:
15/8 - 7/32
Take the LCM:
60/32 - 7/32 = 53/32
Covert the fraction into mixed fraction:
53/32 = 1 21/ 32 in
After three passes through the machine the thickness of the plate is:
15/8 - 3(7/32)
60/32 - 21/32 = 39/32
Covert into mixed fraction:
39/32 = 1 7/32 in
Hence, the thickness of the plate after one pass is 1 21/ 32 and after three pass is 1 7/32 in.
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The correct question is:
The point N lies on the segment MP.
Find the coordinates of N so that MN is of MP.
2/5
The coordinates of N are (-38.4, -18.4)
How to determine the coordinatesFrom the question, we have the following parameters that can be used in our computation:
M = (-26, -14)
P = (6, -2).
m : n = 2 : 3 i.e. 2/5
The coordinate is then calculated as
N = 1/(m + n) * (mx2 + nx1, my2 + ny1)
substitute the known values in the above equation, so, we have the following representation
N = 2/5 * (2 * 6 + 3 * -36, 2 * -2 + 3 * -14)
Evaluate
N = (-38.4, -18.4)
Hence, the coordinate is (-38.4, -18.4)
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Complete question
The point N lies on the segment MP.
Find the coordinates of N so that MN is of MP. 2/5
M- (-26, 14) P- (6,-2)
N(?,?)
What is the area of this sign?
The area of the composite figure is 294 cm square.
How to find the area of a composite figure?The figure above is a composite figure. The figure is formed by combining two trapeziums.
Therefore, the area of the figure is the sum of the whole area of the shape.
Hence,
area of the composite figure = area of the trapezium1 + area of the trapezium2.
area of the trapezium1 = 1 / 2 (a + b)h
hence,
area of the trapezium1 = 1 / 2 (12 + 25)6
area of the trapezium1 = 1 / 2 (37)6
area of the trapezium1 = 111 cm²
area of the trapezium2 = 1 / 2 (24 + 37)6
area of the trapezium2 = 3 × 61
area of the trapezium2 = 183 cm²
Therefore,
area of the composite figure = 111 + 183
area of the composite figure = 294 cm²
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Michael runs a distance of 5 1/4 miles in 45 3/4 minutes during a race. Which statements correctly represent
Michael's race? Select ALL the correct answers.
A. Michael's unit rate of minutes per mile was about 8.7.
B. Michael's average pace was about 0.11 miles per minute.
C.
Michael's unit rate of minutes per mile was about 6.9.
D. Michael's average speed during the race was about 6.9 miles per hour.
E.
Michael ran about 8.7 miles in 1 minute.
eria wall
Answer:
A. Correct
B. Correct
C. Not correct
D. Correct
E. Not correct
Step-by-step explanation:
We are told that Michael's race numbers are:
5.25 miles
45.75 minutes
Divide the miles by the minutes to get mIchael's running rate:
0.114754098 mi/min
This result matches option B. " Michael's average pace was about 0.11 miles per minute."
======
Check all the answer options:
A. Michael's unit rate of minutes per mile was about 8.7.
Take 0.11475409 mi/min and invert it to find min/mile:
1/(0.11475409 mi/min) = 8.71 min/mile
This is a correct statement.
B. Michael's average pace was about 0.11 miles per minute.
From above: This is a correct statement.
C. Michael's unit rate of minutes per mile was about 6.9.
Take the given numbers: (45.75 minutes)/(5.25 miles) = 8.71 min/mile
This is not a correct statement.
D. Michael's average speed during the race was about 6.9 miles per hour.
Take the calculated rate of 0.11475409 mi/min and covert it to miles/hour:
Use the conversion factor (60 min/1 hr)
(0.11475409 mi/min)*((60 min/1 hr)) = 6.89 miles/hr
This is a correct statement.
E. Michael ran about 8.7 miles in 1 minute.
We know from above that he runs at 6.89 miles per hour. Running 8.7 miles in 1 minute would mean he is running at (8.7)*(60) = 413 miles/hour.
Perhaps he had some good energy bars, but the data do not support this conclusion.
This is not a correct statement.
Two communications companies offer calling plans. With Company X, it costs 25¢ to connect and then 4¢ for each minute.
With Company Y, it costs 15¢ to connect and then 3¢ for each minute. Write and simplify an expression that represents how
much more Company X charges, in cents, for n minutes.
Which of these expressions represents how much more Company X charges than Company Y?
OA. (25+3n)-(15+4n)
B. 25n-4-15n-3
OC. (25n-3)-(15n-4)
Answer: A
Step-by-step explanation:
: 4x+25, 3x+15. x=10
the workers in a company are in the ratio femalee:male 1:45
the company has 150 female workers
how many many worker are there altogether
PLSSS NOW 100 points.
Answer: 825 workers altogether
Step-by-step explanation:
well, if the ratio is 4.5 men to every woman, we just have to multiply 150 by 4.5, which means there will be 675 male workers and 150 female workers.
This season, the probability that the Yankees will win a game is 0. 61 and the probability that the Yankees will score 5 or more runs in a game is 0. 48. The probability that the Yankees lose and score fewer than 5 runs is 0. 32. What is the probability that the Yankees would score fewer than 5 runs when they lose the game? Round your answer to the nearest thousandth
Answer:
0.238
Step-by-step explanation:
Meredith's new Pomeranian puppy is 7 inches tall and 9 inches long. She wants to make a drawing of her new Pomeranian to put in her locker. If the sheet of paper she is using is 3 inches long by 5 inches, find an appropriate scale factor for Meredith to use in her drawing. (please answer I need help)
Answer:
2.3333 inches
Step-by-step explanation:
To find the appropriate scale factor, we need to determine how many times smaller the piece of paper is compared to the dog. We can start by finding the ratio of the length of the paper to the length of the dog:
3 inches / 9 inches = 1/3
Similarly, the ratio of the width of the paper to the height of the dog is:
5 inches / 7 inches = 5/7
So, the smaller of these two ratios, 1/3, is the appropriate scale factor for Meredith to use in her drawing. This means that the length of the dog in the drawing will be 9 inches * 1/3 = 3 inches, and the height will be 7 inches * 1/3 = 2.3333 inches.
how many three-digit numbers satisfy the property that the middle digit is the absolute value of half the difference of the first and the last digits?
A total of [tex]10 + 4 + 4 = \boxed{18}[/tex] three-digit numbers that satisfy the given property.
Let the three-digit number be written as abc, where a, b, and c are the hundreds, tens, and ones digits, respectively. We want b to be the absolute value of half the difference between a and c. In other words, we want b = [tex]\left|\frac{a-c}{2}\right|.[/tex]
Since a, b, and c are digits, we know that [tex]0 \leq a, b, c \leq 9.[/tex] Since b is the absolute value of a number, we know that b is non-negative.
Case 1: [tex]a \geq c[/tex]
If [tex]a \geq c[/tex], then[tex]b = \frac{a-c}{2}[/tex]. Since b must be non-negative, we have two
subcases to consider:
Subcase 1: a=c
In this subcase, b=0, which means that the number abc is of the form a00, where [tex]0 \leq a \leq 9[/tex]. There are 10 such numbers.
Subcase 2: a>c
In this subcase, [tex]b = \frac{a-c}{2}[/tex] is a positive integer. Since a and c must have the same parity (i.e., they are either both even or both odd), we have two
sub-subcases to consider:
Sub-subcase 1: a and c are both even
In this sub-subcase, a and c are both integers between 0 and 8 inclusive (since they are even and cannot be equal to 0 or 9). There are 4 such pairs of values for a and c: (2,0), (4,2), (6,4), and (8,6). For each pair, the value of b is uniquely determined, so there are 4 corresponding numbers abc.
Sub-subcase 2: a and c are both odd
In this sub-subcase, a and c are both integers between 1 and 9 inclusive (since they are odd and cannot be equal to 0 or 8). There are 4 such pairs of values for a and c: (9,7), (7,5) , (5,3), and (3,1). For each pair, the value of b is uniquely determined, so there are 4 corresponding numbers abc.
Case 2: a < c
If a < c, then[tex]b = \frac{c-a}{2}[/tex]. Since b must be non-negative, we have only one
subcase to consider:
Subcase: c- a is even
In this subcase, c-a is an even integer between 2 and 8 inclusive (since it cannot be equal to 0 or 9). There are 4 such even integers: 2, 4, 6, and 8. For each even integer, the values of a and c that satisfy c-a are uniquely determined, and the value of b is then uniquely determined. So there are 4 corresponding numbers abc.
Putting everything together, we have a total of [tex]10 + 4 + 4 = \boxed{18}[/tex] three-digit numbers that satisfy the given property.
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what are the multiplicative inverses of the other elements (you may want to use trial and error for finding the inverses)?
To find the multiplicative inverse of an element in a set, we need to find another element in the set that, when multiplied by the first element, gives the multiplicative identity element. All elements in the set have a multiplicative inverse except for 0.
To find the multiplicative inverse of an element in a set, we need to find another element in the set that, when multiplied by the first element, gives the multiplicative identity element (usually 1).
For example, in the set {1, 2, 3, 4, 5} under multiplication modulo 6, we have:
The multiplicative inverse of 1 is 1 (1 x 1 = 1 mod 6).
The multiplicative inverse of 2 is 4 (2 x 4 = 8 = 1 mod 6).
The multiplicative inverse of 3 is 5 (3 x 5 = 15 = 3 x 1 = 1 mod 6).
The multiplicative inverse of 4 is 2 (4 x 2 = 8 = 2 x 4 = 1 mod 6).
The multiplicative inverse of 5 is 3 (5 x 3 = 15 = 3 x 5 = 1 mod 6).
Note that every element in the set has a multiplicative inverse except for 0. This is because any number multiplied by 0 is 0, not 1.
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6x +16 += 2x+28
How do you do this??
From the given question above we can conclude that when 6x +16 += 2x+28 , then the value of x is 3.
What is Linear Equation?
A linear equation is a mathematical expression in which the highest power of the variable is 1. It can be written in the form of:
y = mx + b
where y and x are variables, m is the slope of the line, and b is the y-intercept of the line. This form is called the slope-intercept form of a linear equation.
To solve the equation 6x + 16 = 2x + 28:
Simplify both sides of the equation by combining like terms:
6x + 16 = 2x + 28
Subtract 2x from both sides:
4x + 16 = 28
Subtract 16 from both sides:
4x = 12
Solve for x by dividing both sides by 4:
4x = 12
x = 3
Therefore, the solution to the equation 6x + 16 = 2x + 28 is x = 3.
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Line p passes through points (-2, 5) and (3, 8). Line q passes through the points (-1, 4) and (4, 7). Which statements are true?
The equation of line p is y = (3/4)x + 13/2.
The equation of line q is y = (3/5)x + 23/5.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Line p passes through points (-2, 5) and (3, 8).
This means,
Slope = (8 - 5) / (3 + 2) = 3/4
m = 3/4
And,
Consider (-2, 5) = (x, y)
5 = (3/4) x -2 + c
5 = -3/2 + c
c = 5 + 3/2
c = 13/2
So,
y = (3/4)x + 13/2
Line q passes through the points (-1, 4) and (4, 7).
Slope = (7 - 4) / (4 + 1) = 3/5
m = 3/5
And,
Consider (-1, 4) = (x, y)
4 = (3/5) x (-1) + c
4 = -3/5 + c
c = 4 + 3/5
c = 23/5
So,
y = (3/5)x + 23/5
Thus,
The equation of line p is y = (3/4)x + 13/2.
The equation of line q is y = (3/5)x + 23/5.
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The complete question:
Find the equation of the Line p passes that passes through points (-2, 5) and (3, 8) and Line q that passes through points (-1, 4) and (4, 7).
60°
V
U
S
A
120°
T
?
Solve for X
The measure of x in the figure is 180 degrees
How to determine the measure of xFrom the question, we have the following parameters that can be used in our computation:
The circle and the intersecting chords
The value of x represented by ? is then calculated as
120 = 1/2(x + 60)
Cross multiply the equation
This gives
x + 60 = 240
Subtract 60 from both sides
x = 180
Hence, the measure of x is 180 degrees
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What is the shape of the graph of the function? g(x)= 3/2 ⋅( 2/3 ) ^x
Answer:
Shape of the graph is exponentially decreasing
The horizontal asymptote is y = 0
The y intercept is at x = 0 and is at y = 3/2
Graph attached
Step-by-step explanation:
Not sure what exactly the question is asking for.
Here is what I figured out
Shape of the graph is exponentially decreasing
The horizontal asymptote is y = 0
The y intercept is at x = 0 and is at y = 3/2
We can also rewrite this equation as:
[tex]g(x) = \dfrac{3}{2} \cdot \dfrac{2}{3} \cdot \left(\dfrac{2}{3}\right)^{x-1}\\\\\\= \left(\dfrac{2}{3}\right)^{x-1}[/tex]
54 is what percent of 200?
PLEASE GIVE BRAINLIEST!
thank you and have a good day :)
Answer:
27%
Step-by-step explanation:
a percent is a part of 100
so if we get the denominator to 100, the numerator is the percent of the equation
54/200
in order to get 200 to 100, we have to divide by 2.
however we have to divide the numerator aswell as if we don't, we simply just half the equation.
54/2 = 27
200/2 = 100
27/100 is the new equation. referring back to the first statement, i made, the numerator would be the percent of the equation that is a part of 100
27%.
54/200 is equal to 27/100. all we did was divide both the numerator and denominator by 2.
Write the number for three million twenty thousand
Answer: 3,020,000
Step-by-step explanation:
three million twenty thousand
Answer: 3,020,000
Step-by-step explanation: 3,000,000 + 20,000 = 3020000
Fill in the table using this function rule.
y=2x-4
3
5
7
9
y
Answer:12
16
20
44 these are the answers
Step-by-step explanation:
I will mark BRAINLIEST. Can someone please answer these two questions for me please.
The height of the plane is 1023 meters and the height of the tree is 307 feet.
What are the solutions to the trigonometric questions?Given the data in question 9, this forms a right-triangle.
Angle θ = 12°Opposite to angle θ = xAdjacent to angle θ = 4812mValue of height x = ?To determine the height of the plane x, we use trigonometric ratio
Tangent = Opposite / Adjacent
tan( 12 ) = x / 4812m
x = tan( 12 ) × 4812m
x = 1023m
Therefore, the height of the plane is 1023 meters.
Option A) 1023 meters is the correct answer.
Given the data in question (10)
Angle θ = 62°Adjacent to angle θ = 160ftOpposite to angle θ = xHeight of tool = 6ftSolve for x using trigonometric ratio,
Tangent = Opposite / Adjacent
tan( 62 ) = x / 160ft
x = tan( 62 ) × 160ft
x = 301ft
Now, height of the tree will be;
Height = x + height of tool
Height = 301ft + 6ft
Height = 307 ft
Therefore, the height of the tree is 307 feet.
Option D) 307 feet is the correct answer.
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helppppppppppppppppppppppppppp
Answer: x = 6 (look at the image for the solution)
Step-by-step explanation:
Answer: the answer is 35
Step-by-step explanation:
find the pythageoran theorem of the thing and then solve
A recipe calls for 6 cups of flour to make 24 pancakes. How many pancakes
can be made with a single cup of flour?
On the double number line below, fill in the given values, then use
multiplication or division to find the missing value:
cups of flour
pancakes
Please need help with this math problem
Answer:
maximum value = 135
Step-by-step explanation:
the maximum value is situated at the right end of the whisker.
each division on the number line is 5 units
so maximum value = 125 + 2 units = 125 + 10 = 135
if written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven.
True False
The statement "if written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven " is true
The given statement is
If written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven
We have to check the given statement is true or false
The given number is
One thousand one hundred and twenty five
Write the number in numeric terms
One thousand one hundred and twenty five = 1125
Write the number in backwards
= 5211
Then the number will be
Five thousand two hundred and eleven
Therefore, the given statement is true
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Write 15+45 as a product of 2 factors using GCF and the distributive property
We can write (15 + 45) as a product of 2 factors using GCF and the distributive property 15(1 + 3).
We are given the following expression-
15 + 45
Now, we can factorize 15 into prime factors as follows -
= 3 × 5 (15 × 1)
Similarly, we can factorize 45 into prime factors as follows -
= 3 × 3 × 5 (15 × 3)
Thus, the greatest common factor of 15 and 45 is 15, so we can
= 15 × 1 = 15 and 15 × 3 is 45
Hence, we can write (15 + 45) as 15(1 + 3).
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At a restaurant, Gabe buys 1 cheese pizza and 3 pepperoni pizzas. A cheese pizza costs $11.00. In total, Gabe spends $57.59, including 6% tax on the cost of the pizza and a $3.00 tip.
What is the cost of each pepperoni pizza?
Answer:
$13.53
Step-by-step explanation:
Let's call the cost of a pepperoni pizza x.The total cost of the cheese and pepperoni pizzas before tax and tip is 1 * $11.00 + 3 * x = $57.59 - $3.00Simplifying the expression on the right side: $54.59 - $3.00 = $51.59Now we can solve for x:1 * $11.00 + 3 * x = $51.593 * x = $51.59 - $11.003 * x = $40.59x = $13.53So each pepperoni pizza costs $13.53
Sam depositied 500$ in a new bank account correct answer
Answer:
Bank a/c Dr
To cash a/c
(Being deposited cash into bank)
