Answer:
Step-by-step explanation:
Last year
Ratio of the number of middle school students to number of high school students = 1 : 8
Total ratio = 9
Middle school = 1
High school = 8
Total students in the band = x
Middle school = 1/9x
High school = 8/9x
Total = 1/9x + 8/9x
This year
Ratio of the number of middle school students to number of high school students = 2 : 7
Total ratio = 9
Middle school = 2
High school = 7
Total students = x
Middle school = 2/9x
High school = 7/9x
Total = 2/9x + 7/9x
If there are 18 middle school students in the band this year
2/9x = 18
x = 18÷2/9
= 18 × 9/2
= 81
x = 81
Last year:
1/9x + 8/9x
= 1/9 * 81 + 8/9 * 81
= 9 + 72
= 81
This year
2/9x + 7/9x
2/9*81 + 7/9*81
= 18 + 63
=81
Change in middle school =this year - last year
= 18 - 9
= 9 (increase)
Change in high school = this year - last year
= 63 - 72
= -9 (decrease)
What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?
Enter your answer, as a decimal, in the box.
Answer:
-3.75 and oof i got it wrong i put 3.75
Step-by-step explanation:
Solve 2x-4 = -2-2+2x
and
Solve 5x-9 = 8+5x
Answer:
1. 0=0
2. 0=17
Step-by-step explanation:
Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?
s = side length of square
4s = perimeter of square
L = length of rectangle
W = width of rectangle
P = 2L+2W = perimeter of rectangle
4s = 2L+2W .... since we want the perimeters the same
4s = 2(L+W)
s = 0.5(L+W)
s^2 = (0.5(L+W))^2 ... square both sides
s^2 = 0.25(L+W)^2
The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.
-----------------------------------
The area of the rectangle is LW
Let's subtract this from the area of the square and see what we get
A = area of square = s^2
B = area of rectangle = LW
C = difference in area
C = A - B
C = s^2 - LW
C = 0.25(L+W)^2 - LW
C = 0.25(L^2+2LW+W^2) - LW
C = 0.25L^2+0.5LW+0.25W^2-LW
C = 0.25L^2-0.5LW+0.25W^2
C = 0.25(L^2-2LW+W^2)
C = 0.25(L-W)^2
Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.
So C is always positive as long as [tex]L \ne W[/tex]
If C > 0, and C = A - B, then
C > 0
A-B > 0 .... replace C with A-B
A > B .... add B to both sides
This shows the square area is always larger than the rectangle.
Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.
We make [tex]L \ne W[/tex] to have a nonsquare rectangle.
Simply the question in the picture
Answer:
1
Step-by-step explanation:
X^2+ 17x+91=0
Help please!!
Answer:
x^2+17x+91=0
a = 1; b = 17; c = +91;
Δ = b2-4ac
Δ = 172-4·1·91
Δ = -75
Delta is less than zero, so there is no solution for the equation
Step-by-step explanation:
A population of largemouth bass is 950 this year and the rate of decrease is 35% per year. How many bass will remain after 15 years of decay at this rate?
425
617
1
525
332
NEED HELP ASAP PLEASE.
Answer:
b.40
Step-by-step explanation:
what are all the fractions that are equivalent to 5/6
Answer:
There are infinitely many equivalent fractions
Step-by-step explanation:
This is because all you have to do to find an equivalent fraction is multiply to numerator and denominator by the same number, and there are infinitely many numbers, therefore there are infinitely many equivalent fractions.
-3+-4^2 divided by 2
Answer:
The answer to your question is -11
Answer:
-11
Step-by-step explanation:
Hope this helps! ^-^
Find integers whose product is -28 and sum is 12.
Answer:
Two integers whose product is -28 and sum is 12 are 14 and -2.
I need help!! Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x^3 + 1. Include the average rate of change in your answer.
Answer:
39
Step-by-step explanation:
The average rate of change obtained from the ratio of the change in y to the change in x is 39.
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
At ; x1 = 1
y1 can be calculated from the function ;
y1 = 3(1³) + 1 = 3(1) + 1 = 4
At ; x2 = 3
y1 can be calculated from the function ;
y2 = 3(3³) + 1 = 3(27) + 1 = 82
Rate of change can be calculated thus :
Slope = (82 - 4) ÷ (3 - 1) = 78 ÷ 2 = 39
Therefore, the average rate of change is 39.
Learn more :https://brainly.com/question/18550782
Solve the equation for the red variable.
Answer:
w=6(6.6667-g)
Step-by-step explanation:
g=1/6w+6.6667
-1/6w=6.6667-g
-w=6(6.6667-g)
w=6(6.6667-g)
Ann is having a birthday party at a pizza place. The restaurant charges $100
plus $12 per guest. The total cost of the party (y) can be represented by the
equation
y = 12x + 100. What does the slope represent?
Please help??????
Answer:
The slope represents how much it will cost per customer
Step-by-step explanation:
btw im not fully sure so correct me if im wrong plz
GIVING BRAINLIEST! what is the slope and the y-intercept of the line on the graph below?
Answer:
Your answer is C. the y intercept is 1 and the slope is -1/4. Hope this helped!
Step-by-step explanation:
Make s the subject of the formula
T^2=2p+as
Step-by-step explanation:
Original formula: T^2 = 2p + as
T^2 - 2p = as
s = (T^2 - 2p) / a
PLS help in this questions. Thanks !
Answer:
D
Step-by-step explanation:
You are given the two sides and the abgle inbetween.
PLEASE HELP ME WITH THIS ILL BRAINLIST PLS HELP SOLVE AS MANY AS U CAN
Answer:
a) d + f
b) 3d + f - 7
c) d + f + 25Step-by-step explanation:
what is 2 2/3÷1 1/2?
Answer:
1 7/9
Step-by-step explanation:
i hope this helps you out!!
brainliest greatly appreciated
Answer:
1 7/9
Step-by-step explanation:
Help me or I’ll kith you
Answer:
The answer is (-2,10)
A certain test is scored by adding 1 point for
each correct answer and subtracting 1/4 of a
point for each incorrect answer. If Jan answered
31 questions correctly and 9 questions incor-
rectly, what was her score?
a. 28 3/4
b. 28 1/4
c. 26
d. 22 1/4
Answer:
A
Step-by-step explanation:
31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4
(x^2-3x+1)(x^2+2x-1) PLEASE SHOW STEP BY STEP ON HOW YOU GOT THE ANSWER
Answer:
first multiply
2x-3x+1+2x+2x-1
add all like terms
3x+1-1
final answer is 3x
Step-by-step explanation:
Answer:
=x4−x3−6x2+5x−1
Step-by-step explanation:
(x2−3x+1)(x2+2x−1)
=(x2+−3x+1)(x2+2x+−1)
=(x2)(x2)+(x2)(2x)+(x2)(−1)+(−3x)(x2)+(−3x)(2x)+(−3x)(−1)+(1)(x2)+(1)(2x)+(1)(−1)
=x4+2x3−x2−3x3−6x2+3x+x2+2x−1
=x4−x3−6x2+5x−1
How can you tell when an equation in one variable has infinitely many solutions or no solution?
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Answer: How can you tell when an equation in one variable has infinitely many solutions or no solution?
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Step-by-step explanation:
There you go homies
Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute. Marla will use both copiers to make a total of 1200 copies of the newsletter. Both copiers will start and end at the same time. How many minutes will it take to make 1200 copies?
Answer:
12 minutes.
Step-by-step explanation:
Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.
Since both copier start at the same time, let the number of minutes used by both copiers be represented by x
60 × x + 40 × x = 1200 copies
60x + 40x = 1200
100x = 1200
x = 1200/100
x = 12 minutes
Therefore, it will take 12 minutes l to make 1200 copies.
HELP GEOMETRY TRIANGLES
Answer:
x=21
Step-by-step explanation
a sequence is Defined by the formula F(n+1)=f(n)-3. If f(4)=22, what is f(1)
a)10
b)13
c)31
d)34
Answer:
The answer is 13 hope it helps!<3
Step-by-step explanation:
20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.
Answer:
125 birr
Step-by-step explanation:
80%=100
1%=1.25
100%=125
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.
Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.
Answer:
the denominator in 6/9.75 is incorrect
Step-by-step explanation:
find unit rate then x 24 numerator. 24 the denominator,
the denominator in 6/9.75 is incorrect.
Find the value of a and b when x =10
Answer:
A=250
B=10
Step-by-step explanation:
You plug in 10 for x and solve
Which shows how to best estimate the product of 0.4 x 0.93?
0 x 1 = 0
0.5 x 0.5 = 0.25
0.5 x 1 = 0.5
1 x 1 = 1
Answer:
b
Step-by-step explanation:
Answer:
C. 0.5 times 1 = 0.5
An electrician cuts a 30 ft piece of wire into 2 pieces. One piece is 2ft longer than the other. How long are the pieces?
Answer:
piece1: 14 feet
piece2: 16 feet
Step-by-step explanation:
piece1: x
piece2: x + 2
x + x + 2 = 30
2x + 2 = 30
2x = 28
x = 14
piece1: x = 14
piece2: x + 2 = 14 + 2 = 16