Answer:
The number of boys: a
The number of girls: b
=> a/b = 5
a - b = 60
=> (b + 60)/b = 5
=> b + 60 = 5b
=> 4b = 60 => b = 15 => a = 5 x 15 = 75
=> Total people:
T = a + b = 15 + 75 = 90
Hope this helps!
:)
MARKING BRAINIEST: A constructor is measuring the perimeter of a plot for a building. 69% of the way around the perimeter, the constructor has measured 11 meters. How far around is the entire perimeter? Round your answer to the nearest hundredth.69% is the same as 69/100.
You can rewrite the problem as a proportion problem:
11/x = 69/100
where x is the whole, so it's across from 100, and 11 is the part, so it's across from 69.
Answer:
15.94 meters
Step-by-step explanation:
11/0.69 = 15.942.......
Round it to get 15.94
find the surface area of 8 meters high 12 meters width an 12 meters length
Answer:
[tex]672m^2[/tex]
Step-by-step explanation:
[tex]A=2(wl+hl+hw)=2*(12*12+8*12+8*12)=672m^2[/tex]
Which one is a perfect square 20 or 24
Answer:
Neither
Step-by-step explanation:
Neither is a perfect square
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
These are perfect squares
Answer:
Neither .Step-by-step explanation:
neither 20 nor 24 is perfect square.
[tex]1 \times 1 = 1 \\ 2 \times 2 = 4 \\ 3 \times 3 = 9 \\ 4 \times 4 = 16 \\ 5 \times 5 = 25 \\ 6 \times 6 = 36 \\ 7 \times 7 = 49 \\ 8 \times 8 = 64 \\ 9 \times 9 = 81 \\ 10 \times 10 = 100[/tex]
These are perfect square.
hope this helps
brainliest appreciated
good luck! have a nice day!
Who did this? Tell me answers for questions
Your friend can eat a lot! Cheeseburgers from In-N-Out are his favorite, so he gets happy
when he eats them, that is, until he eats too many! If you measured his happiness, h(x),
based on how many cheeseburgers from In-N-Out he eats, x, you would get a curve modeled
by the function: ℎ() = −12 + 6 + 16....................................................................
Answer:
There are needed 3 burgers to reach the maximum measure of happiness of 25.Step-by-step explanation:
The given function is
[tex]h(x)=-x^{2} +6x+16[/tex]
Where [tex]x[/tex] is the number of burgers and [tex]h[/tex] the measure of happiness.
To find the maximum burgers needed to reach the maximum happiness, we just need to find the vertex of this function, which is defined as
[tex]V(h,k)[/tex] where [tex]h=-\frac{b}{2a}[/tex], and [tex]b=6[/tex], [tex]a=-1[/tex], replacing these values, we have
[tex]h=-\frac{6}{2(-1)}=3[/tex]
[tex]k=f(3)=-(3)^{2} +6(3)+16=-9+18+16=25[/tex]
Therefore, there are needed 3 burgers to reach the maximum measure of happiness of 25.
Using the maximum function relation, the maximum number of cheeseburgers to be consumed would be 25
Given the function :
h(x) = - x² + 6x + 16The function is maximum at [tex] \frac-{b}{2a}[/tex]
b = 6 ; a = - 1
Hence, we have :
[tex] x = \frac-{6}{2(-1)} = 3 [/tex]
Substitute x = - 3 into the function :
h(-3) = - (3)² + 6(3) + 16
h = - 9 + 18 + 16
h = 25
Therefore, the maximum number of cheeseburgers to be tanken would be 25
Learn more : https://brainly.com/question/25589810
-1 5/6p + 1 = 2 2/9
THIS IS AN EMERGENCY HELP
answer for -2x-41=5x-6
Answer:
x=-5
Step-by-step explanation:
-2x-41=5x-6
-35=7x
-5=x
Hello there!
-2x - 41 = 5x - 6
Move the 41 over by adding 41 to both sides.
-2x = 5x + 35
Move the 5x by subtracting it from both sides.
-7x = 35
Divide by -7 to get x.
-7/-7 = 35/-7
x = -5
Therefore, x would equal -5.
Emma substitutes 3 for x in a one-variable linear equation and finds that it makes the equation true. She then substitutes 5 for x then in the same linear equation true. What can you conclude about the number of solutions of the equation
Answer:
The equation has infinite solutions
Step-by-step explanation:
Linear equations can have zero, one or infinite solutions.
If Emma tested two values (3 and 5) for the same equation and they were both true solutions, this means that the equation has more than one solution.
If a linear equation has more than one solution, than the equation has infinite solutions.
The value of (-2a)(-3a) is?
Answer:
The answer is [tex]6a^2[/tex].
Step-by-step explanation:
Solve:
[tex](-2a)(-3a)[/tex]
Multiply [tex]a[/tex] and [tex]a[/tex] :
[tex](-2a)(-3a)[/tex]
[tex]-2a^2(-3)[/tex]
Multiply [tex]-2[/tex] and [tex]-3[/tex] :
[tex]-2a^2(-3)[/tex]
[tex]6a^2[/tex]
So, the final answer is [tex]6a^2[/tex].
The perfume company Scents 4 cents is about to release their latest perfume. The manager ordered 3 different perfume bottles customers can choose from. Approximate the volume of perfume each bottle can carry
Image and dimension of each bottle is attached
Answer:
Cyclinder = 572.56 cm³
Sphere = 381.70 cm³
Cone = 190.86 cm³
Step-by-step explanation:
Here, the manager ordered for three different shapes, which are: a sphere, cylinder and a cone. We are told to find the volume of each.
For the cylinder:
Given:
Radius, r = 4.5 cm
Height, h = 9 cm
The formula for calculating the volume of a cylinder is:
V = Base * height
Where base = πr²
= π * 4.5² = 63.62
Therefore,
V = 63.62 * 9
V = 572.56 cm³
For sphere:
Given:
Radius, r = 4.5 cm
Formula for volume of a sphere is:
[tex] V = \frac{4}{3} * \pi r^3 [/tex]
[tex] = \frac{4}{3} * \pi 4.5^3 [/tex]
= 381.7 cm³
For cone:
Given:
Radius, r = 4.5 cm
Height, h = 9 cm
The formula for calculating the volume of a cone is:
V = ⅓ * Base * height
Where base = πr²
= π * 4.5² = 63.62
Therefore,
V = ⅓*63.62 * 9
V = 190.86 cm³
Therefore the volume of perfume each bottle can carry is:
Cyclinder = 572.56 cm³
Sphere = 381.7 cm³
Cone = 190.86 cm³
The $25.00 shirt costs the store $20.00. Find the markup rate.
Answer:
25%
Step-by-step explanation:
Element X decays radioactively with a half life of 12 minutes. If there are 510 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams?
Answer:
t = 66.4 minutes ( to the nearest tenth of a minute)
it would take the element 66.4 minutes to decay to 11 grams
Step-by-step explanation:
Given;
Initial amount N = 510 g
Final amount Nt = 11 g
Half life t(1/2) = 12 minutes
The amount of time t required for the Element X to decay from N to Nt can be written as;
t = ln(Nt/N) ÷ -λ .....1
Where;
λ = decay constant
λ = ln(2)/t(1/2)
Substituting λ, equation 1 then becomes;
t = ln(Nt/N) ÷ -(ln(2)/t(1/2))
Substituting the values;
t = ln(11/510) ÷ -(ln(2)/12)
t = −3.8365 ÷ -0.05776
t = 66.419
t = 66.4 minutes ( to the nearest tenth of a minute)
You deposit $1200 in an account. The annual interest rate is 3%. How long will it take you to earn $108 in simple interest?
Answer:
Interest = $3,888
Step-by-step explanation:
Formula:
I = prt or I = p · r · t
what it stands for:
I = amount of interest
P = principal amount ($1,200)
R = interest rate (in years)(3% into decimal which would be .03)
T = amount of time (in years)($108)
so:
I = prt
I = (1,200)(.03)(108)
I = $3,888
Interest = $3,888
Peter bike bill is automatically deducting $78 from his bank
Answer:
how much money is on peters bank account all together?
Step-by-step explanation:
Which set of ordered pairs could be generated by an exponential function? A)(negative 1, negative one-half), (0, 0), (1, one-half), (2, 1) B) (–1, –1), (0, 0), (1, 1), (2, 8) C) (negative 1, one-half), (0, 1), (1, 2), (2, 4) D)(–1, 1), (0, 0), (1, 1), (2, 4)
Answer:
C) (negative 1, one-half), (0, 1), (1, 2), (2, 4)Step-by-step explanation:
The set C could be generated by an exponential function. The main reason is that exponential functions hava a restricted range, it can't have negative numbers or the number zero, because power can only be equal or greater than 1.
Additionally, for all exponentials, a null exponent gives 1 as an answer, so point (0, 1) is always present in an exponential function.
Therefore, the right answer is C.
The set of ordered pairs could be generated by an exponential function is C. (negative 1, one-half), (0, 1), (1, 2), (2, 4)
What is an exponential function?An exponential function simply means a relation that's in the form of y = ax².
In this case, the set of ordered pairs could be generated by an exponential function is (negative 1, one-half), (0, 1), (1, 2), (2, 4). It has a restricted range.
Learn more about exponential function on:
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Samuel spends the same amount of money each morning. On Monday, he bought juice for $1.25 and also bought two doughnuts. On Tuesday, he bought a bag of chips for fifty cents and five doughnuts. What is the cost of one doughnut?
Answer:
25 cents or $0.25
Step-by-step explanation:
1.25 + 2x = 0.50 + 5x
0.75 = 3x
x = 0.25
Which relation is not a function?
Answer:
D.
Step-by-step explanation:
For a relation to be a function, one input cannot have multiple outputs.
In D, we can see that the input x = 1 will yield y = 4 and y = 1. So which one is it?
We cannot determine that, so this relation is not a function.
i need help please asap....
Answer: Idk
Step-by-step explanation:
I really don't know
I just need to know if I'm correct. If not, please tell me what I did wrong!
1. Gertrude said her survey showed 2/3 of her math class liked hip hop music. There are 24 students in the class. Is it possible that Gertrude's survey is correct?
My Answer: Yes it's correct because 2/3 = 36 since 24/2=12 and 12*3=36
There are 24 students in the class. Take 2/3 of this to get (2/3)*24 = 16
A more detailed step by step would be
(2/3)*24 = (2/3)*(24/1) = (2*24)/(3*1) = 48/3 = 16
The result 16 is smaller than the original number 24. This is expected because 2/3 is smaller than 1. The key thing here is that the result 16 is a whole number.
You can think of 2/3 as the approximate percentage 66.7%, so you're applying roughly 66.7% to the entire class to get 16 people who like hip hop.
It appears you're thinking in reverse when you went from 24 to 36, because 2/3 of 36 is 24, but not the other way around. Keep in mind there are 24 students total in the class, and we can't go higher than this. We can't say there are 36 people who like hip hop.
So to answer the question, yes it is possible Gertrude's survey is correct because 2/3 of 24 is a whole number.
Jorge says the first step to solving the equation below is to combine like terms on each side of the equal sign. David says you should distribute first then isolate x. Which perspective do you agree with and why? Determine the solution to the equation.
x + 2x + 3 + 3 = 3(x + 2)
Answer:
1) David because of order of operations.
2) All Real Numbers
Step-by-step explanation:
x + 2x + 3 + 3 = 3 (x + 2)
x + 2x + 3 + 3 = 3x + 6
3x - 3x = 6 - 6
0 = 0
John went to the bakery and bought
several dozen donuts and several
dozen bagels. The donuts cost $9
per dozen and the bagels were $8
per dozen. If he spent a total of
$101 for 12 dozen items, how many
donuts did he buy?
Answer:
5 dozen Donuts
7 dozen bagels
Step-by-step explanation:
5 * 9 = 45
7 * 8 = 56
56 + 45 = 101
Answer: He bought 5 dozen donuts
Step-by-step explanation:
d + b = 12 where d is the number of donuts and b is the number of bagels.
9d + 8b= 101 now solve the two equations using the elimination method
-9d - 9b =-108
9d + 8b = 101
-1b = -7
b = 7
9d + 8(7)= 101
9d + 57 = 101
9d = 45
d= 5
Whats the 100 digits of pie?\
im only asking because brainly keeps telling me to ask a question
Answer:
3.14159265358979323846264338327950288419716939937510
58209749445923078164062862089986280348253421170679
Step-by-step explanation:
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
Step-by-step explanation:
i don't know how to solve it
Are you supposed to divide in this question?
Answer:
x=3 and x=6
Step-by-step explanation:
The answer is attached.
Jane and Kamalesh buy m and n Hari Raya greeting cards respectively at a price of
RMp for each card. These cards will be given to their Muslim friends.
(a) Write an expression for the difference in the amount of money that they had paid.
(b) If m = 8, n = 6 and p = 1.5, calculate the difference in the amount of money they
had paid.
She dilated the outdoor stage by a scale factor of four with the center of dilation at the origin. Which ordered pair
will be the coordinates of one of the new vertices?
Answer:
(32, 16)
Step-by-step explanation:
Since the scale factor is 4, you always multiply both coordinate places (x and y) by this number.
The coordinates of one of the new vertices is (32, 16). Therefore, option D is the correct answer.
What is a dilation?Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
Given that, rectangle with vertices A(-6, 4), B(8, 4), C(8, -2) and D(-6, -2).
Here, the scale factor is 4
So,
(-6,4) by a scale factor of 4(-6, 4)=(-24, 16)
(8, 4) by a scale factor of 4(8, 4)= (32, 16)
(-6, -2) by a scale factor of 4(-6, -2)= (-24, -8)
(8, -2) by a scale factor of 4(8, -2)= (32, -8)
Therefore, option D is the correct answer.
To learn more about the dilation visit:
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Solve for k.
5(k+4)<–5
Answer:
k < -5
Step-by-step explanation:
5(k+4)<–5
Divide each side by 5
5/5(k+4)<–5/5
k+4 < -1
Subtract 4 from each side
k+4-4 < -1-4
k < -5
Is f(n)=10+5x^2 exponential, linear, or neither?
Is f(n)=10(5)^n exponential, linear, or neither?
Answer:
1. Neither (quadratic)
2. Exponential
Step-by-step explanation:
[tex]2^x[/tex] = y <- this is an example of an exponential equation.
y = 2x + 1 <- this is a linear equation
- 5/6 divided by -2 and 1/6 equals what
Answer:
5/2 or it's 5/11
Step-by-step explanation:
(-5/6)/-2= 5/12
(5/12)/(1/6) = 5/2
because if your writing it like
[tex](-5/6)/-2\frac{1}{6} = \frac{5}{11}[/tex]
Answer:
0.38461538461
Step-by-step explanation:
OOOOOOOP
SCREEE thats my mind rn
Answer:
Pls mark me brainlest i dont know what this is but i can try to do my best
Step-by-step explanation:
pls
Let f (x) = 3x − 1 and ε > 0. Find a δ > 0 such that 0 < ∣x − 5∣ < δ implies ∣f (x) − 14∣ < ε. (Find the largest such δ.) What limit does this prove?
Answer:
This proves that f is continous at x=5.
Step-by-step explanation:
Taking f(x) = 3x-1 and [tex]\varepsilon>0[/tex], we want to find a [tex]\delta [/tex] such that [tex]|f(x)-14|<\varepsilon[/tex]
At first, we will assume that this delta exists and we will try to figure out its value.
Suppose that [tex]|x-5|<\delta[/tex]. Then
[tex]|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta[/tex].
Then, if [tex]|x-5|<\delta[/tex], then [tex]|f(x)-14|<3\delta[/tex]. So, in this case, if [tex]3\delta \leq \varepsilon[/tex] we get that [tex]|f(x)-14|<\varepsilon[/tex]. The maximum value of delta is [tex]\frac{\varepsilon}{3}[/tex].
By definition, this procedure proves that [tex]\lim_{x\to 5}f(x) = 14[/tex]. Note that f(5)=14, so this proves that f is continous at x=5.
Is this the right answer?