Table
Food - 1/3
Housing - 1/3
Medical Care - 1/4
This year, the managers of the farm will change the fraction of the budget for housing to 1/8 but will leave the fraction of the budget for food and medical Care the same. Again, the remaining portion of the budget will be for maintenance expenses. What is the difference between the fraction of the budget for maintenance this year and last year?
Answer:
[tex]\frac{5}{24}[/tex]
Step-by-step explanation:
Previous year table .
Food - [tex]\frac{1}{3}[/tex]
Housing - [tex]\frac{1}{3}[/tex]
Medical Care - [tex]\frac{1}{4}[/tex]
So, total =[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{4}[/tex]= [tex]\frac{11}{12}[/tex]
Since we are given that the remaining portion of the budget will be for maintenance expenses.
So, maintenance expenses = [tex]1-\frac{11}{12}=\frac{1}{12[/tex]
Present year table
Food -[tex]\frac{1}{3}[/tex]
Housing -[tex]\frac{1}{8}[/tex]
Medical Care - [tex]\frac{1}{4}[/tex]
So, total =[tex]\frac{1}{3}+\frac{1}{8}+\frac{1}{4}=\frac{17}{24}[/tex]
Since we are given that the remaining portion of the budget will be for maintenance expenses.[tex]1-\frac{17}{24}=\frac{7}{24}[/tex]
The difference between the fraction of the budget for maintenance this year and last year = 7/24 - 1/12 = 5/24
Hence the difference between the fraction of the budget for maintenance this year and last year is 5/24
Find the unit rate.
625 revolutions in 223 seconds
The unit rate is ___
revolutions per second.
Step-by-step explanation:
One number is bigger than another by 406. If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66. Find the numbers.
To find the numbers, we can set up a system of equations and solve it using substitution.
Explanation:To find the numbers, we can set up a system of equations based on the given information. Let's call the bigger number 'x' and the smaller number 'y'. We know that x is bigger than y by 406, so we can write the equation x = y + 406. We also know that when x is divided by y, the quotient is 3 and the remainder is 66. This can be expressed as the equation x = 3y + 66.
We can solve this system of equations by substitution. First, we substitute the expression for x from the first equation into the second equation:
3y + 66 = y + 406
Next, we can subtract y from both sides of the equation:
2y + 66 = 406
Then, we subtract 66 from both sides:
2y = 340
Finally, we divide both sides by 2 to solve for y:
y = 170
Now we can substitute the value of y back into the first equation to find x:
x = 170 + 406 = 576
Therefore, the numbers are 576 and 170.
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10 times as much as 0.5 is
Which of the following values is closest to the mean for the set of data shown below?
99, 78, 56, 11, 43, 22, 16, 31, 49, 28, 37, 29 38, 34
The mean of the given set of numbers is approximately 40.07, determined by summing all the numbers in the set and then dividing by the count of numbers in the set.
The question asks for the mean of a set of numbers. The mean is found by adding all the numbers in a set and then dividing by the total number of values in the set. To find the mean for the given data set (99, 78, 56, 11, 43, 22, 16, 31, 49, 28, 37, 29, 38, 34), we first add all the numbers:
99 + 78 + 56 + 11 + 43 + 22 + 16 + 31 + 49 + 28 + 37 + 29 + 38 + 34 = 561.
Next, we divide by the number of values, which is 14:
Mean = 561 ÷ 14 = 40.07. Therefore, the mean of the data set is approximately 40.07.
Is the sum of 3√2 and 4 √2 rational or irrational? Explain your answer.
Sum of 3√2 and 4√2 is an irrational number.
What are irrational numbers?" Irrational numbers are those numbers which cannot be written in fraction or rational form."
According to the question,
Suppose 3√2 + 4√2 be a rational number.
which can be expressed in form of (p / q) form such that 'q' does not divides 'p'
3√2 + 4√2 = (p / q)
⇒ 7√2 = ( p / q)
Squaring both the sides we get,
49 × 2 = ( p² / q² )
⇒ 2 ×(49q²) = p²
⇒ p is an even number
⇒p = 2k , k≠0
Therefore,
2 × ( 49q²) = (2k)²
⇒2×(49q²) = 4k²
⇒q² = (2k² / 49)
Both p and q are even which implies 'q' divides 'p'.
It is contradictory to our supposition,
Therefore, 3√2 + 4√2 is an irrational number.
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6 3/4 need to have 12 cups
A straight line equation y=1/2x+1 the point p lies on the straight line.p has a y-coordinate of 5. Find the x-coordinate of p
an interior decorator bought 12 1/2 yards of material to make drapes. He used 8 2/3 yards on 1 pair of drapes. How much material does he have left?
i need help I have to find the area of the composite figure
A bowl of fruit contains 3 apples, 4 bananas, 2 pears and 1 orange. Aminata chooses one piece of fruit at random. What is the probability that she chooses
i) a banana,
ii) a mango?
In the diagram below, which edges of the prism are parallel to AD ? (Select all that apply.)
DH
BC
EF
FG
Given is the shape of a rectangular prism. All the parallel edges are diagonally opposite to each other, it means that parallel edges directly face opposite to each other and they do not have any common vertex. So we have two sets of parallel edges that are {AB, CD, EF, and GH} and {AD, BC, EH, and FG}.
It says to select all edges from the given options that are parallel to AD.
Given options are :- 1. DH, 2. BC, 3. EF, 4. FG.
We have AD ║ BC ║ EH ║ FG.
Hence, only BC and FG are the final answers.
what is (x-5)(x-3)=10 as a quadratic equation
Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters. If the train travels at a speed of 180 kilometers per hour, how long will it take Lola to travel from Paris to Nice?
Answer:
It will take 5 hours for Lola to travel from Paris to Nice.
Step-by-step explanation:
Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters.
We will convert this to km.
1000 meter = 1 km
900000 meter = [tex]\frac{900000}{1000}[/tex] = 900 km
The train travels at a speed of 180 kilometers per hour, so time taken to travel from Paris to Nice will be = [tex]\frac{900}{180} =5[/tex] hours
Hence, it will take 5 hours for Lola to travel from Paris to Nice.
Jack is sharing 3 bananas with 3 Friends. Which expression represents the amount each one will get if they share them equally?
What is the measure of the missing angle
Answer:
115
Step-by-step explanation:
i did the test
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points A(−6,5) , C(4,−3) , and D(−6,−3) . Point B is the fourth vertex of the rectangle.
What is the distance from point A to point B?
K12 grade 6th -MTH
Answer:
The correct answer is 10.
Explanation:
I took the test and Aced it. Aka, got 100%
The answer top guy gave is incorrect.
Guarantee .
Hope this helps.
7x to the fourth power- 5x to the fourth power
What is the measure of ∠DEG?
A) 133°
B) 103°
C) 77°
D) 67°
Let f(x)=−1/2(x+2)^2+5 . What is the average rate of change for the quadratic function from x = −3 to x = 1? Enter your answer in the box.
Final answer:
The average rate of change of the function f(x) from x = -3 to x = 1 is -0.625, calculated using the values of f(-3) and f(1) in the average rate of change formula.
Explanation:
The average rate of change of a function f(x) from x = a to x = b is computed by finding the difference in function values at these points and dividing by the difference in x values, following the formula (f(b) - f(a)) / (b - a). To apply this to the quadratic function [tex]f(x) = -1/2(x + 2)^2 + 5[/tex] from x = -3 to x = 1, we evaluate f at both -3 and 1 and use these results in our formula.
First, find f(-3):
[tex]f(-3) = -1/2(-3 + 2)^2 + 5 = 4[/tex]
Then, find f(1):
[tex]f(1) = -1/2(1 + 2)^2 + 5 = 1.5[/tex]
Now, we calculate the average rate of change:
(f(1) - f(-3)) / (1 - (-3)) = (1.5 - 4) / (1 - (-3)) = -2.5 / 4 = -0.625
Therefore, the average rate of change of the function f(x) from x = -3 to x = 1 is -0.625.
Felicia put $85 into a CD that pays 3.8% interest. According to the rule of 72, approximately how long will it take for her money to double ?
Answer:
18.9 years.
Step-by-step explanation:
We have been given that Felicia put $85 into a CD that pays 3.8% interest.
We know that rule of 72 gives us the time it will take an amount to be double, when we divide 72 by the interest rate.
Upon dividing 72 by 3.8 we will get,
[tex]\text{Time it will take to double Felicia's money}=\frac{72}{3.8}[/tex]
[tex]\text{Time it will take to double Felicia's money}=18.9473684\approx 18.9[/tex]
Therefore, it will take approximately 18.9 years for Felicia's money to double.
the area of a baseball field bounded by home plate, first base, second base, and third base, and third base is a square. If a player at first base throws the ball to a player at third base, what is the distance the player has to throw?
it's C, [tex]\sqrt{16,200}[/tex]
Final answer:
The distance a player has to throw the ball from first base to third base is the length of the diagonal of the square field. Using the Pythagorean theorem, this distance is found to be approximately 127.28 feet.
Explanation:
If the baseball field is a square, then when a player throws the ball from first base to third base, the player is throwing the ball along the diagonal of the square. To calculate the distance of the throw, which is the length of the diagonal, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
Since the bases form a square, both sides a and b are equal in length.
The formula we use is c = √(a² + b²), where 'c' would be the diagonal distance. If we assume the side of the square (the distance from home plate to first base, or from first base to second base, and so forth) is 90 feet, which is a standard distance in a baseball diamond, then we can plug 90 feet in for both 'a' and 'b' to calculate the diagonal:
c = √(90² + 90²)
= √(8100 + 8100)
= √(16200)
= 127.28 feet (approximately).
Therefore, the distance the player has to throw from first base to third base is about 127.28 feet.
A chess team has 26 members. However, only 16 members attended the last meeting: half of the girls attended but all of the boys attended. How many boys are on the chess team?
Answer:
6 boys
Step-by-step explanation:
if all the boys(x) were at the meeting but only half the (y), you would have two equations : x+y=26 and x+y/2 = 16. Solving the system gives you 6 boys 20 girls.
−3z−(−z−2) Simplify to create an equivalent expression.
a. −4z+2
b. −2z−2
c. −2z+2
d. 4z+2
PLEASE HELP! :)
Bill spent a total of $95 at the grocery store. Of this amount, he spent $38 on fruit. What percentage of the total did he spend on fruit?
I WILL MAKE BRAINIEST :)
Joyce wants to mix granola and raisins together to make a snack for her class. Granola costs $2 per pound and raisins cost $4.50 per pound. Joyce is willing to spend $37.50 and wants to make 15 pounds of trail mix.
Which system of equations could Joyce use to figure out how many pounds of granola (g) and raisins (r) she should buy?
A) 35 pounds
B) 36 pounds
C) 54 pounds
D) 72 pounds
help me please i do not understand it.
Number 13a and 13b, please.
A cylinder has a radius of 16 m and a height of 9 m. What is the approximate surface area of the cylinder? Use 3.14 for π. A. 603 m2 B. 904 m2 C. 2512 m2 D. 14,469 m2
ANSWER IF YOU KNOW THE ANSWER!!!!!!!!!!!!!!!!!!!!
IF THE ANSWER IS WRONG I WILL REPORT YOU!!!!!!!!!!!!!
ricardo's recipe for 4 loaves of bread requires 2/3 cup of olive oil. He only wants to make 1 loaf. Ricardo makes a model to find out how much oil he needs to use. He folds a piece of paper into three parts and shades two parts. Then he folds the paper into four parts and shades 1/4 of the shaded part. Ricardo decides he needs 1/4 cup of olive oil. Is he right? Explain
Answer:
Ricardo is wrong.
Step-by-step explanation:
Ricardo's recipe for 4 loaves of bread requires 2/3 cup of olive oil.
Now we are given that he wants to make 1 loaf.
So, 4 loaves requires cup of oil = [tex]\frac{2}{3}[/tex]
So, 1 loaf requires cup of oil = [tex]\frac{\frac{2}{3}}{4}[/tex]
= [tex]\frac{2}{12}[/tex]
= [tex]\frac{1}{6}[/tex]
Thus he requires 1/6 cup of oil to make 1 loaf .
While he decided he needs 1/4 cups .
So, Ricardo is wrong