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)
Please help!! not sure if this is right :(
Answer:
Your answer is correct.
Step-by-step explanation:
The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.
Answer:
Option: D is the correct answer.
D) 20.455 <= X <= 20.545
Step-by-step explanation:
We are given The ideal length of a particular metal rod is 20.5 cm.
It is given that:
The measured length may vary from the ideal length by at most 0.045 cm.
By atmost we mean either less than or equal to that amount but not more than that.
It means that:
|X-20.5|≤ 0.045
⇒ -0.045 ≤ X-20.5 ≤ 0.045
⇒ -0.045+20.5 ≤ X ≤ 20+0.045
⇒ 20.455 ≤ X ≤ 20.545.
Hope this helped! <3
(−45)(158)(73)(−1)
QUICK
Answer:
If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.
Step-by-step explanation:
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answer: 122°F
Step-by-step explanation:substitute 50°C anywhere in the formula that has the C
need help asapp I'll brainlist u once u finish !!
Answer:
-3*-6*2^2+1
18*4+1
72+1
73
Step-by-step explanation:
2(5*-6*2-3)
2(-30*-1).
2*30
60
4*-6^2*2+2/10
4*36*2+2/10
4*72+2/10
288+2/10
290/10
29
9(-6-2^2)/6
9(-6-4)/6
9*10/6
90/6
15
Cindy can waterproof 400 ft2 of decking with 2 gallons of sealant. How many gallons should Florence buy for a 1200 ft2 deck?
Group of answer choices
Florence should buy 6 gallons of sealant for 1200 ft² of decking.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, 400 ft² of decking requires 2 gallons of sealant.
400 ft² = 2 gallons
400 ×3 ft² = 2 × 3 gallons
1200 ft² = 6 gallons
Hence, Florence should buy 6 gallons of sealant for 1200 ft² of decking.
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A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?
Answer:
17
Step-by-step explanation:
the answer would have been 16.75 but you cant divide a class, so you round up.
Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?
Answer:
125,000
Step-by-step explanation:
WHAT IS THE LAST SENTANCE FOR DESPASITO IN ENGLISH!!!!!!!!!!!!!!11
What is 54 ÷ 2/3 ?
Answer: 79 1/2
Convert any mixed numbers to fractions.
Then your initial equation becomes:
53/1 ÷ 2/3
Applying the fractions formula for division,
multiply 53/1 by 2/3
= 159/2
Simplifying 159/2, the answer is
79 1/2
704% into a fraction
Answer:
7 4/100
Step-by-step explanation:
[tex] \green {\boxed{Answer}}[/tex]
[tex] = 704\%[/tex]
[tex] = \frac{704}{100} [/tex]
[tex] = \frac{704 \div 4}{100 \div 4} [/tex]
[tex] = \frac{176}{25} [/tex]
[tex] = 7 \frac{1}{25} [/tex]
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#ILoveMath
Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. How far apart are Jim and Jennifer?How far apart are Jim and Jennifer?
Answer:
37ftStep-by-step explanation:
step one;
In this problem, we are expected to solve for the distance between Jenifer and Jim
given that
Jennifer is 29ft above and
Jim is 8ft bellow
step two:
the distance between them can be calculated as
distance= 29+8
distance=37ft
WILL GIVE BRAINLIEST!!!!!!
Write a paragraph explaining the development and impact of the Atlantic slave trade on West Africa
Answer:
this isn't a social studies stream
ask the question again but in a social studies thingy
_____ the
clauses in the original
evaluate the expression when a=32 and b=7 a/4 +b
pls respond ... 30 points :)
Answer:
B, 2x^2 - 4x + 8
Step-by-step explanation:
Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:
Length × Width = Area
Given these values, rearrange the formula to find the width:
Width = Area / Length
Then just substitute the values, and
simplify the expression:
Width = (4x^2 - 8x + 16) / 2
Width = 2x^2 - 4x + 8
Answer:
I think its B but dont keep my word as facts thats just what i think hope this helps even a little
Step-by-step explanation:
15. The length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is
about 100 times longer than Yvette's cell phone screen. What is the approximate
length of the movie theater screen?
Answer:
it would 35 feet long 100x0.35
The length of the movie theater will be 35 feet.
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, we can write the expressions as -
2x + 3y + 5
3y + 5
5 + 6
Given is that the length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is about 100 times longer than Yvette's cell phone screen.
Scale factor is defined as the ratio of final dimensions to the initial dimensions of the given image.
Mathematically, we can write -
{K} = final dimensions/initial dimensions
In the question given, the scale factor is -{K} = 100.
Assume the length of the movie theater to be {x}. So, we can write -
{x} = 0.35 x 100
{x} = 35/100 x 100
{x} = 35 feet
Therefore, the length of the movie theater will be 35 feet.
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Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?
solve for x
1/5x+24=50
0.4x+18=-13
3x-5/6=1/6
plz awnser as soon as possible this homework i sue by 11:00 and there are more problems
Answer:
x=130, x=-77.5, x=1/3
Step-by-step explanation:
1st equation:
1/5x + 24 = 50
1/5x = 26
x = 26(5)
x = 130
2nd equation:
0.4x + 18=-13
0.4x = -31
x=-77.5
3rd equation:
3x - 5/6 = 1/6
3x = 1
x=1/3
Determine which product has the lower unit price one gallon of orange juice for $3.49 or B a half gallon of orange juice for $1.70
how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST
Answer:
5
Step-by-step explanation:
A stack of 3 books weighs 7.8 kilogramh book weighs the s. If eacsame amount, how much does each book weigh?
Answer:
they each way 2.6 kilograms
The price of a car decreases by 35% to £13000.
What was the car worth before the decrease?
Help
Answer:
€20,000
Step-by-step explanation:
% decrease = (original price of the car - new price) ÷ original price × 100
Let "x' represents the original price before the decrease.
New price = €13,000
% decrease = 35%
Plug in the values into the equation
[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]
[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]
Multiply both sides by x
[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]
[tex] 35x = 100x - 1,300,000 [/tex]
Subtract 100x from both sides
[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]
[tex] -65x = -1,300,000 [/tex]
Divide both sides by -65
[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]
[tex] x = 20,000 [/tex]
The car was worth €20,000 before the decrease.
What's 30% of 40 and how much are you saving
the sum of number and 12 is 30. determine the number
Answer:
42
Step-by-step explanation:
if I'm understand the question you add 12 and 30
(03.02 LC)
ABCD is a rectangle. What is the value of x?
A
56 m
B
65 m
xm
D
C
Are these expressions equivalent?
yes or no
Answer:
yes they are equivalent
The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease
Answer: 50%
Step-by-step explanation: math
1
A recipe for 6 servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?
Answer:
2 cups
Step-by-step explanation:
18/6 = 3
3 x 2/3 = 6/3
6/3 = 2
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
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