Answers
To graph these equations, which are already in slope-intercept form:
For the freshmen, we begin with the y-intercept at (0, 100). Then for each unit of x (to the right), we raise the y-value by 50. So we can put another point at (1, 150), at (2, 200), at (3,250), and so on. Any one other point is sufficient to draw the line.
For the sophomore, we begin with the y-intercept at (0, 250), and increase y by 25 for each unit of x. So we can connect it with (1, 275), (2, 300), and so on.
If both lines are drawn, we will see the intersection point at (6, 400), which means that both groups have a cost of y = $400 at x = 6 rolls.
Related Questions
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?
Answers
75/6-52/6=23/6
3 5/6 yds.
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?
Answers
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.
7x to the fourth power- 5x to the fourth power
Answers
7x ^4 - 5x^4
2x^4
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
Answers
If you plot this on a seperate piece of paper, then you can see that point B, is 7 spaces away from A. Hope this helps!:)
BTW, I use K12 as well! Do you use VAVA?
~Scarlett
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.
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?
Answers
so the answer would be A. banana
−3z−(−z−2) Simplify to create an equivalent expression.
a. −4z+2
b. −2z−2
c. −2z+2
d. 4z+2
PLEASE HELP! :)
Answers
In order to find the expression equivalent to our given expression, we have to simplify our given expression :)
-3z + z + 2
**Remember : the "z" and "2" become a positive because a negative times a negative is always a positive!**
Now, add like terms.
(-3z + z) + 2
Simplify.
-2z + 2
Look at our given answer choices.
Our answer is c. -2z + 2
~Hope I helped!~
What is the measure of the missing angle
Answers
75+40=115 180-115=65
Angles of a straight lines = 180degrees
180-65= 115
Your answer is the second option - 115degrees
Answer:
115
Step-by-step explanation:
i did the test
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
Answers
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
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?
Answers
38/95= 0.4
0.4 * 100 = 40
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 ?
Answers
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.
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
Answers
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
Answers
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.
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.
Answers
Let x = the larger number and y = the smaller number.
We know that the larger number is 406 larger than the smaller one; therefore
x = y + 406
We also know
[tex]\frac{x}{y}=3\frac{66}{y}[/tex]
Substituting for x we have:
[tex]\frac{y+406}{y}=3+\frac{66}{y}[/tex]
When we convert mixed numbers to improper fractions, we multiply the whole number by the denominator and add the numerator:
[tex]\frac{y+406}{y}=\frac{3y+66}{y}[/tex]
Since the denominators are the same, we can just set the numerators equal
y+406=3y+66
We cannot have a variable on both sides, so we will subtract y from both sides:
y+406-y=3y+66-y
406=2y+66
Subtract 66 from both sides:
406-66=2y+66-66
340=2y
Divide both sides by 2:
340/2 = 2y/2
170=y
The smaller number is 170. Since the larger number is 406 larger, then it is 170+406=576.
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.
Learn more about Solving Systems of Equations here:https://brainly.com/question/29050831
#SPJ12
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?
Answers
Maintenance = 1 - 1/3 - 1/3 - 1/4 = 1/12
After budget change :
Maintenance = 1 - 1/3 - 1/8 - 1/4 = 7/24
Difference in budget for maintenance = 7/24 - 1/12 = 5/12
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
10 times as much as 0.5 is
Answers
10 x 0.5 = 5
That is your answer.
Enjoy.
~Isabella
5 is 10 times greater than 0.5
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.
Answers
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.
i need help I have to find the area of the composite figure
Answers
We get a rectangle with dimensions [tex]20 \ cm \times 21 \ cm[/tex] plus a square with dimensions [tex]18 \ cm \times 18 \ cm[/tex]. The area of the rectangle is [tex]420 \ cm^2[/tex] and the square is [tex]324 \ cm^2[/tex], which together add up to [tex]744 \ cm^2[/tex].
Number 13a and 13b, please.
Answers
a) The box dimensions in terms of cube size are 12 x 1 x 5. The product of these is 60.
b) The product of box dimensions is 6 x (1/2) x (2 1/2) = 3 x (2 1/2) = 7 1/2 units³.
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!!!!!!!!!!!!!
Answers
Given: π = 3.14; r = 16 m; h = 9 m
A = 2πrh + 2πr^2; Where π = pi; r = radius; h = height
A = 2(3.14)(16)(9) + 2(3.14)(16)^2
= 2(452.16) + 2(803.84)
= 904.32 + 1,607.68
= 2,512 m^2
Jack is sharing 3 bananas with 3 Friends. Which expression represents the amount each one will get if they share them equally?
Answers
If so then each friend would get one banana. because 3/3=1
Is this what you are asking?
6 3/4 need to have 12 cups
Answers
help me please i do not understand it.
Answers
Explanation:
1) The slope - intercept form is of the kind y = mx + b, where m is the slope and b is the y-intercept.
2) Given two points you can find the slope (using the two points) and then the equation using one of the points.
3) slope = m = Δy / Δx
points given (3,10) , (0,4)
m = [y2 - y1] / [x2 - x1] = [10 - 4] / [3 - 0] = 6 / 3 = 2
4) equation
y - y2
-------- = m
x - x2
y - 4
---------- = 2
x - 0
=> y - 4 = 2 (x - 0)
y - 4 = 2x
y = 2x + 4
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?
Answers
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.
In the diagram below, which edges of the prism are parallel to AD ? (Select all that apply.)
DH
BC
EF
FG
Answers
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.
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
Answers
y=(1/2)x+1
we know that
the point p has a y-coordinate of 5
therefore
I substitute the value of y = 5 in the equation of the line
5=(1/2)x+1--------> 5-1=(1/2)x------> 4=(1/2)x-----> 8=x
x=8
the answer is
the x coordinate of p is x=8
Is the sum of 3√2 and 4 √2 rational or irrational? Explain your answer.
Answers
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.
Learn more about irrational number here
https://brainly.com/question/17450097
#SPJ2
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?
Answers
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.
What is the measure of ∠DEG?
A) 133°
B) 103°
C) 77°
D) 67°
Answers
Let me think for a second
To do this you have to find one of the missing angles.
Three angles of a triangle equal 180 so
180-47-30=103
A stright line has a degree of 180
180-103 = 77 which is the answer
Find the unit rate.
625 revolutions in 223 seconds
The unit rate is ___
revolutions per second.
Answers
Step-by-step explanation:
Help pls I don’t get it
Answers
41.80 divided 4= 10.45
Plan B is lower fee per lesson