9514 1404 393
Answer:
52 nickels13 dimesStep-by-step explanation:
In each group of 5 coins, 4 are nickels and 1 is a dime. There are 65/5 = 13 such groups, so 13 dimes, and 4×13 = 52 nickels.
The function f(x)=x(200-x) models the area of a pasture, in square yards, as a function of its length. Which are possible lengths of the pasture? 125 yards 200 yards 170 yards 225 yards 210 yards
Answer:
(a): x = 125 yards.
(c): x = 170 yards.
Step-by-step explanation:
Given
[tex]f(x) = x(200 - x)[/tex]
[tex]x = length\\\\[/tex]
[tex]f(x) = area[/tex]
Required
Determine the possible length
For a length to be possible or usable, the calculated area must be greater than 0.
(a): x = 125 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 125 for x
[tex]f(125) = 125 * (200 - 125)[/tex]
[tex]f(125) = 125 * 75[/tex]
[tex]f(125) = 9375[/tex]
(b): x = 200 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 200 for x
[tex]f(200) = 200 * (200 - 200)[/tex]
[tex]f(200) = 200 * 0[/tex]
[tex]f(200) = 0[/tex]
(c): x = 170 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 170 for x
[tex]f(170) = 200 * (200 - 170)[/tex]
[tex]f(170) = 200 * 30[/tex]
[tex]f(170) = 6000[/tex]
(d): x = 225 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 225 for x
[tex]f(225) = 200 * (200 - 225)[/tex]
[tex]f(225) = 200 * (- 25)[/tex]
[tex]f(225) = -5000[/tex]
(e): x = 210 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 210 for x
[tex]f(220) = 200 * (200 - 210)[/tex]
[tex]f(220) = 200 * (- 10)[/tex]
[tex]f(220) = -2000[/tex]
From the above calculations, only values of x that are 125 and 170 makes the function true
helpppp pls (correct answer
Answer:
5^12
Step-by-step explanation:
5 to the 12th power because 4x3 =12
9) Alyssa takes 10 hours to repair the roof. It takes Mike 11 hours to
complete this job. How long would it take if they worked together?
Answer:
I'm sorry for "awnsering" this I needed some points
Answer:
11 hours
Step-by-step explanation:
so here the thing alyssa takes 10 hours
but with one more person to help it take have the time to do so that would be 5.
Mike take 11hour to do a job so we do the same thing but with mike so it will be half the time 6
and if you add them together you get 11 soo it would take 11 hours to do all of the work together
(sorry if wrong) but hope it helps
3/5 × 35 in simplest form
Answer:
i used desmos calculator
Step-by-step explanation:
3/5 = 0.6
0.6 x 35 = 21
21 is already a simplest mode
u can also used 0.21
Compare 4 and -2. Which of the following is true?
A. 14<1-2and 4 <-2
B. 141 = 1-2 and 4 >-2
C. 141 <1-21 and 4> -2
D. 41 > 1-2 and 4>-2
Out of 75 students if 8% were absent find the number of present student
Answer:
69 students
Step-by-step explanation:
Step one:
number of students = 75
percentage absebt= 8%
Find the value of 8% absent
=8/100*75
=0.08*75
=6 students
Number present= Total students- number absent
Number present= 75- 6
Number present= 69
Hence there are 69 students present
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?
Answer:
5
Step-by-step explanation:
Solve for 9x-3-8x=7-x
Answer:
5
Step-by-step explanation:
9x - 3 - 8x = 7 - x
9x - 3 - 8x + x = 7
2x - 3 = 7
2x = 10
x = 5
Answer:
hope u understand
Step-by-step explanation:
[tex]\: 1. \: x - 3 = 7 - x \\ \: 2. \: x + x - 3 = 7 \\ 3. \: x + x = 7 + 3 \\ 4. \: 2x = 7 + 3 = 10 \\ 5. \: 10 \div 2 = 5 \\ 6. \: x = 5[/tex]
let me explain you now
1. collect like terms
2. move the variable to the left hand side and change its sign
3. move the constant to the right hand side and change its sign
4. collect like terms and add the numbers
5. divide the answer with 2
6. the solution
Hello I just want to ask what is the definition of exterior and anterior?
Answer:
exterior is the outside and anterior is the front
Step-by-step explanation:
An angle is made up of 66 one-degree angles. What is the measure of the angle?
Answer:
66 degrees
Step-by-step explanation:
if there are 66 one degree angles, all alll those together to get 66 degrees in total
The measure of the angle that is given with the given parameter is; 66°
How to find the value of the angle?
We are told that ang angle is made up of 66 one-degree angles. Now, this means that each of the section of the main angle is one degree.
Thus, the value of 66 numbers of that angle will be;
66 * 1 = 66°
In conclusion, the measure of the angle is 66°.
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22 is what percent of 40
Answer:
55%
Step-by-step explanation:
40x0.55=22
Answer:
55%
Step-by-step explanation:
To find what percent of 40 is 22, you must divide them.
In this case: [tex]22 / 40[/tex] . This equals .55, which can be represented as 55%
helppppp
Tony is going to watch a movie in his collection. He has 3 action movies, 11 comedies, and 9 dramas.
He will randomly select one movie. What is the probability that the movie he selects is not a comedy?
Write your answer as a fraction in simplest form.
Answer:
nvm the other guys right
I'm slow
Answer:
12:23
Step-by-step explanation:
3+11+9=23
9+3=12
9+3 is the number of movies which are not comedies
Graph g(x) = 4 cos x
Use 3.14 for pi
Answer:
this is a graph of the question hope this helps
Percent * $3.32 = $0.32 + $0.184
The missing percentage of the given algebraic expression when calculated is; 15.18%
How to work with Percentages?We want to find;
Percent * $3.32 = $0.32 + $0.184
First of all, let us add the terms on the right side of the equation to get;
Percent * $3.32 = $0.504
Next operation is to divide both sides by 3.32 using division property of equality to get;
Percent = 0.1518 = 15.18%
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Which expression has a value that is equivalent to 5n + 13 when n=−5?
Answer:
-25+13 answer is -12
Step-by-step explanation:
PLEASE HELP!!!!
The two triangles shown are congruent: AABC = AXYZ. Based on this information,
which of the following is a true statement?
Answer:
I will say the answer is A
the distance formula is used for 2 points on a coordinate plane?
Answer:
the distance formula is used to find the distance between two points in the plane.
Step-by-step explanation:
-2 1/3 - (-5)=
Please help me
In fraction how too solve 2/8=4
Answer:
8/8=16
Step-by-step explanation:
4/2=2
2x8=16
8/8(whole)=16
What is the factored form of 4p³ + 8p² + 3p + 6
Answer:
(4p^2 + 3) (p+2)
Step-by-step explanation:
find common factors
(4 and 3)
factor and "group the numbers"
Watch ordered pair is not a point on the graph of y= -5x + 2?
A(-1,6)
B(0,2)
C(-2,12)
D(2,-8)
To prepare for the winter season the manager of an outdoor ice skating rink ordered 4,920 pounds of sand to keep around the skating rink from being yo slippery One bag of sand is 40 which equation can be used to find the number of bag of sand ,b, the manager order
Answer:
hope this helps UwU
Step-by-step explanation:
The required equation represents the number of bags of sand is b = 4920 ÷ 40.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
To prepare for the winter season the manager of an outdoor ice skating rink ordered 4,920 pounds of sand to keep around the skating rink from being yo slippery One bag of sand is 40 points.
Let the number of bags be b,
40 × = 4920
b = 4920 ÷ 40
Thus, the required equation that represents the number of bags of sand is b = 4920 ÷ 40.
Learn more about equations here:
brainly.com/question/10413253
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A 400g loaf of white bread contains 228 g of flour. An 800 g loaf of brown
bread contains 472 g of flour. Which loaf contains a higher percentage of flour?
Answer:
The loaf of brown bread contains a higher percentage of flour.
Step-by-step explanation:
To find the percentage of flour, we divide the amount of flour by the weight of the bread, and then multiply by 100. So
400g loaf of white bread:
228g of flour
[tex]P = \frac{228*100}{400} = 57\%[/tex]
57% of flour
800g loaf of brown bread:
472g of flour
[tex]P = \frac{472*100}{800} = 59\%[/tex]
59% of flour, so, a higher percentage
(5n2 – 4nm - 9m²) + (7n2 + 4nm +8m²) =
Answer:
[tex]\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)[/tex]
Remove parentheses: (a) = a
[tex]=5n^2-4nm-9m^2+7n^2+4nm+8m^2[/tex]
Group like terms
[tex]=5n^2+7n^2-4nm+4nm-9m^2+8m^2[/tex]
Add similar elements: [tex]5n^2+7n^2=12n^2[/tex]
[tex]=12n^2-4nm+4nm-9m^2+8m^2[/tex]
Add similar elements: [tex]-4nm+4nm=0[/tex]
[tex]=12n^2-9m^2+8m^2[/tex]
Add similar elements: [tex]-9m^2+8m^2=-m^2[/tex]
[tex]=12n^2-m^2[/tex]
Therefore, we conclude that:
[tex]\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2[/tex]
3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute, at what rate will his shadow lengthen
Answer:
533.33 ft/min
Step-by-step explanation:
We are given that
x=3 feet
y=4 feet
Height of person,h=6 feet
[tex]\frac{dx}{dt}=400 ft/min[/tex]
Triangle ABC and A'B'C are similar because all right triangles are similar
By using similarity property
[tex]\frac{h'}{6}=\frac{7}{4}[/tex]
[tex]h'=10.5 feet[/tex]
[tex]x+y=3+4=7 feet[/tex]
[tex]\frac{h'}{6}=\frac{x+y}{y}[/tex]
[tex]\frac{10.5}{6}=\frac{x+y}{y}[/tex]
[tex]10.5y=6x+6y[/tex]
[tex]10.5y-6y=6x[/tex]
[tex]4.5y=6x[/tex]
Differentiate w.r.t t
[tex]4.5\frac{dy}{dt}=6\frac{dx}{dt}[/tex]
[tex]\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min[/tex]
[tex]\frac{dy}{dt}=533.33ft/min[/tex]
Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min
The graph below has the same shape as the graph of G(X) = x2, but it is
shifted up four units and to the right three units. Complete its equation. Enter
exponents using the caret (^); for example, enter x2 as x^2. Do not include
"F(x) =" in your answer.
5
Answer:
The new function f(x) = (x-3)² +4
Step-by-step explanation:
Step(i):-
Given that the graph f(x) = x²
The given graph shifted up four units then the new function
f(x) = x²+4
Step(ii):-
And again the graph shifted '3' units right then the graph is transformed to
f(x) = (x-3)² +4
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.30 per hour. The math club wants to spend at most
$81.40 on renting the meeting room.
Answer:
the most time they can spend is 8 hours
3(x+6)= -3.68
Find x, I think I know how but I’m not really sure
Answer:
x = - 7.23
Step-by-step explanation:
3(x+6)= -3.68 Start with the breackets.
3x + 18 = - 3.69 Subtract 18 from both sides
3x = - 3.69 - 18
3x = -21.69 Divide by 3
x = - 21.69/3
x = -7.23
36 Solve for x. 112 0 0
Answer:
x=12(the side in parallel are equal.
Please help helppppp
Answer:
C
Step-by-step explanation:
Area= 1/2 (b1+b2)h
1/2 (38+14)x16
52x16=416