There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.
Answer:
36
Step-by-step explanation:
Number of new houses = 60
Number of houses sold last month = (1/4) of 60
[tex]= \frac{1}{4}*60[/tex]
= 15
Remaining houses = 60 - 15 = 45
Number of houses sold this month = (1/5) of 45
[tex]=\frac{1}{5}*45\\\\= 9[/tex]
Number of houses that are left = 45 - 9 = 36
Write the equation of the exponential function given two points: (1,6) (3,96)
Answer:
y = 3/2 ⋅ 4^x
Step-by-step explanation:
I hope this helped! please mark as brainliest
helppppp please I will give brainliest
Answer:
y=1/3x-2
Step-by-step explanation:
The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks: We are ________ confident that the population mean is between _______ and _______.a) 1%, 0, 0.583120b) 99%, 0, 0.583120c) 99%, 0.385631, 0.780609d) 1%, 0.385631, 0.780609
Answer:
The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks:
We are ____99%____ confident that the population mean is between ___0.385631____ and ___0.780609____.
c) 99%, 0.385631, 0.780609
Step-by-step explanation:
This is the only correct option, given the relevant population mean range. Option B is not correct as the population mean cannot range between 0 and 0.583120 as given by the option. Options 'a' and 'd' are not relevant to the question because they have 1% confidence level, instead of the stated 99% confidence level.
If 4 gal of the premium unleaded gasoline costs $16.24, how much would it cost to completely fill a tank whose capacity is 7 gal?
Answer:
$4.06 per gallon $4.06 x 7 = $28.42
Step-by-step explanation:
Please help...20 points! And explain
The 7th-grade class took a survey on their favorite ice cream. 58 people said they prefer vanilla, while 28 people said they prefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in a :b form)
Answer:
[tex]a : b = 14 : 29[/tex]
Step-by-step explanation:
Given:
[tex]Vanilla = 58[/tex]
[tex]Chocolate = 28[/tex]
Required
Represent as ratio
Let chocolate be represented with a and vanilla be represented with b
So, we have:
[tex]a : b[/tex]
[tex]a : b = 28 : 58[/tex]
Divide ratio by 2
[tex]a : b = 14 : 29[/tex]
Hence, the required ratio is [tex]14:29[/tex]
A fast food chain sells 4,500 hamburgers per hour worldwide. How many hamburgers does the fast food chain sell worldwide in 1 minute?
Answer:
75 hamburgers per minute
Step-by-step explanation:
We’ll it’s 4500 per hour, or every 60 minutes, to find 1 min, you can divide by 60.
4500/60 = 75
8. A substance has a half life of 2.347 minutes.
a. If the initial amount of the substance was 110.4 grams, how many half-lives will have passed
before the substance decays to 6.9 grams.
b. What is the total time of the decay?
Answer:
a.) 4 half lives have passed
b) 9.388 minutes
Step-by-step explanation:
Formula for exponential growth / decay is given as:
[tex]A=A_0b^{\frac{t}{c}}[/tex]
Where [tex]A[/tex] is the final population
[tex]A_0[/tex] is the initial population
[tex]b[/tex] is the growth factor
[tex]c[/tex] is the time taken for the growth 'b'
[tex]t[/tex] is the amount of time
Here, we are given that:
[tex]A[/tex] = 6. 9 grams
[tex]A_0[/tex] = 110.4 grams
[tex]b = \dfrac{1}{2}[/tex]
[tex]c = 2.347[/tex] min
To find:
a.) Number of half lives taken for the decay.
b.) Total time in the decay.
Solution:
a.) Number of half lives taken for the decay is nothing but equal to [tex]\frac{t}{c}[/tex].
Putting the values in the formula, we get:
[tex]6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4[/tex]
Therefore, the answer is:
4 half lives have passed.
b.) Total time of decay. We have to find the value of [tex]t[/tex] here.
From answer of part a.):
[tex]\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}[/tex]
Jack wants to attend a private 4-year university that costs $32,500 a year for tuition. His parents said they will give him $15,000 each year towards tuition. If he saves his money over the next four years before college, how much money will he have to save each year?
A $1,750
B $17,500
C $175
D $4375
Answer:
b
Step-by-step explanation:
Please help I’m stuck on this question
the answer is b. the rest is so it can be enough charecters so i can post this answer
There is ounce of yeast in every 2 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this recipe?
Mrs. Wheeler wants to cook a turkey for Thanksgiving dinner she knows that a 20 pound turkey Is enough to feed 16 people at this rate what size turkey will mrs. Wheeler need it 21 people are expected to come over for a dinner .
Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-8,5) and (4,1).
The equation of the line is
y =
Answer:
y = 3x + 9
Step-by-step explanation:
The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~
(- 8, 5)
(4, 1)
m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]
Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3
Coordinates of midpoint are ( - 2 , 3 )
y - 3 = 3 ( x + 2 )
y = 3x + 9
The problems in this lesson review basic arithmetic skills.
Answer:
false
Step-by-step explanation:
I’ll give you a Brainly if you get this done in 3 mins -Solve each system by substitution
1) y=-3x+5
5x-4y=-3
2)y=-2
4x-3y=18
3)-7x-2y=-13
X-2y=11
4)-5x+y=-3
3x-8y=24
Answer:
1) x = 1 , y = 2
2) x=3, y=-2
3) x=3, y=-4
4) x=0, y=-3
Step-by-step explanation:
I hope this helped! please mark as brailiest
The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know?
Answer:
Square root of 81 is 9
9 multiply with 4 is 36
Permiter is 36cm.
Thank you and please rate me as brainliest as it will help me to level up
Solve for indicated variable
Answer:dusy
Step-by-step explanation:
Answer:
h = SA/(2πr) - r
Step-by-step explanation:
From what I understood of the the statement, we have to solve the equation for the variable h. So, we just have to isolate that variable in one side. See:
[tex]SA = 2\pi r^2 + 2\pi rh\\\\2\pi rh = SA - 2\pi r^2\\\\h = \dfrac{ SA - 2\pi r^2}{2\pi r}\\\\\boxed{h = \dfrac{SA}{2\pi r} - r}[/tex]
Can someone help me please
===================================================
Work Shown:
For any triangle, the three interior angles always add to 180
(4x-12) + (6x-17) + (2x+5) = 180
(4x+6x+2x) + (-12-17+5) = 180
12x - 24 = 180
12x = 180+24 ..... adding 24 to both sides
12x = 204
x = 204/12 ..... dividing both sides by 12
x = 17
We can use this x value to find the three angles
4x-12 = 4*17-12 = 56
6x-17 = 6*17-17 = 85
2x+5 = 2*17+5 = 39
As a check,
56+85+39 = 180
which confirms we have the right x value.
We see that 56 is the middle angle, so this is the second largest angle.
4. If f(x) = 5X + 8, g(x) = 7X -2 Find (f - g)(x)
Answer:
-2x+10
Step-by-step explanation:
f(x)=5x+8
g(x)=7x-2
(f-g)(x)= 5x+8-7x+2= -2x+10
please help, the question says what statement best describes the placement of the lines Carson Drew
Answer:
Only line A is a well-placed line of best fit.
Step-by-step explanation:
I did this on Plato and got it correct.
Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15
Answer:
The missing term is 10
Step-by-step explanation:
2/11=x/55
cross multiply
2*55=11x
x=10
I hope this helps :)
Find: 11 3 ÷ 2 3 The quotient is 5 and .
Answer:
0.5
Step-by-step explanation:
The answer of this problem would be 5.5, so you are missing the 0.5
Answer :
1/2
Explanation :
Completed the assignment on Edge.
Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.
Answer:
The equation is [tex]y=x-9[/tex]
Step-by-step explanation:
If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.
The slope-intercept form of a linear equation is: [tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept value.
[tex]y=1x-2[/tex]
Therefore the slope is
[tex]m=1[/tex]
We can now use the point-slope formula to write the equation of the parallel line:
The point-slope formula states:
[tex](y-y1)=m(x-x1)[/tex]
Where m is the slope and [tex](x1,y1)[/tex] is a point the line passes through.
Substituting the information from the problem gives:
[tex](y- (-7)=1(x-2)[/tex]
[tex](y+7)=1(x-2)[/tex]
Or, we can solve for y to put the equation in slope-intercept form:
[tex]y+7=x-2[/tex]
[tex]y+7-7=x-2-7[/tex]
[tex]y+0=x-9[/tex]
[tex]y=x-9[/tex]
What's a rule you could apply to any number that would predict which denominators will terminate
9514 1404 393
Explanation:
The decimal equivalent of a fraction will terminate if its denominator can be factored using only the prime numbers 2 and/or 5.
1/4 = 1/(2·2) will terminate
1/15 = 1/(3·5) will not terminate
Cameron spent 32 minutes on Instagram on Friday. The next day
he spent 30% of that on Instagram. In total, how much time did
Cameron spend on Instagram?
Answer:
41.6
Step-by-step explanation:
32 x 0.3 = 9.6
9.6 + 32 = 41.6
41.6
i had the same question
Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las tres inversiones es de 3200 dólares. Además, el ingreso de la inversión al 16% es igual al ingreso de las otras dos inversiones combinadas. ¿Cuánto se invirtió a cada tasa de interés?
Answer:
$5000 at 10%, $10000 at 12% and 10000 at 16%Step-by-step explanation:
One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?==================
Let the parts be x, y and z
As per given we get below system of equations:
x + y + z = 250000.1x + 0.12y + 0.16z = 32000.1x + 0.2y = 0.16zSubstitute 0.1x + 0.2y in the second equation:
0.16z + 0.16z = 32000.32z = 3200z = 3200/0.32z = 10000Now we have:
x + y + 10000 = 25000 ⇒ x + y = 15000and
0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600Multiply the second equation and then subtract the first one:
10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000x + 1.2y - (x + y) = 16000 - 150000.2y = 1000y = 10000Then
x = 15000 - 10000 = 5000So the parts are:
$5000 at 10%, $10000 at 12% and 10000 at 16%For all x in the domain of the function (x+1)/(x^3-x) this func-
tion is equivalent to
Answer:
The function is equivalent to
[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]
Let us simplify this function
[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]
[tex]=\frac{x+1}{x\left(x+1\right)\left(x-1\right)}[/tex] ∵ [tex]Factor\:x^3-x=x\left(x+1\right)\left(x-1\right)[/tex]
Cancel the common factor (x+1)
[tex]=\frac{1}{x\left(x-1\right)}[/tex]
Therefore, the function is equivalent to
[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]
Answer:
wrong
Step-by-step explanation:
You may use any notes from class or past assignments on this assessment. You may also use a
calculator. You may not look up any answers on the internet or use anyone else's work.
1.
The equation m=40g gives the distance in miles, m, that a car can travel using g gallons
of gas.
a. If the car has gone 140 miles, how much gas was used?
b. Write an equation that represents the inverse function: the gallons of gas as a
function of distance in miles.
Function C is defined by the equation cov) = 50 + 4y It mives the month con
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]
[tex]x_1, y_1[/tex] is (3, 1)
[tex]x_2, y_2[/tex] is (-1, -2)
[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]
which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]
then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]
your final answer is: [tex]\sqrt{13}[/tex] or about 3.61