Answer:
Compare algebraic relationships in a situation.
Write 59/40 as a decimal
Answer:
1.475
Step-by-step explanation:
simplify
[tex](xy) ^{ - 1} [/tex]
Answer:
Below
Step-by-step explanation:
●(xy)^(-1)
● x^(-1) * y^(-1)
● (1/x)*(1/y)
● 1/xy
A chemist is mixing two solutions, solution A and solution B. Solution A is 15% water and solution Bis 20% water. She already has a
beaker with 10mL of solution A in it. How many mL of solution B must be added to the beaker in order to create a mixture that is 18%
water?
Answer:
15 ml
Step-by-step explanation:
We are told
Solution A = 15% of water
Solution B = 20% of water
Let's assume, the entire solution = 100ml
We are told that in the beaker we have 10 ml of Solution A already
Mathematically,
100 ml = 15%
10 ml = X
100ml × X = 15 × 10
X = 150/ 100
X = 1.5%
Hence in the beaker, we have 1.5% of water from Solution A
We are asked to find how many ml of solution B must be added to make the solution have 18% of water
Let y = number of ml of solution B
Hence
10 ml × 15%(0.15) = 1.5 ml of water - Equation 1
y ml × 20%( 0.20) = 0.20y ml of water ...... Equation 2
Add up the above equation
10ml + y ml ×18% (0.18) = 1.5 + 0.20y
(10 + y)(0.18) = 1.5 + 0.20y
1.8 + 0.18y = 1.5 + 0.20y
Collect like terms
1.8 - 1.5 = 0.20y - 0.18y
0.3 = 0.02y
y = 0.3/0.02
y = 15ml
Therefore,15mL of solution B must be added to the beaker in order to create a mixture that is 18% water
Danny drove to Yosemite Park from his home at 60 mph. on his trip home, his rate was 10 mph less and ...?
Answer: 300 mi.
Step-by-step explanation:
Let t be the time taken to drive to the park (at 60 mph)
Let t + 1 be the time taken to drive home from the part (at 50 mph)
Distance to the park = 60t
Distance from the park = 50(t + 1)
Obviously the distances should be the same so equate them.
60t = 50(t + 1)
60t = 50t + 50
10t = 50
t = 50/10
t = 5 hours
Now figure the distance. You can use either equation for the distance to or from the park:
60t = 60(5) = 300 miles
or
50(t+1) = 50(6) = 300 miles
The distance to or from the park will be 300 miles.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let assume t be the time taken to drive to the park (at 60 mph).
Let assume t + 1 be the time taken to drive home from the part (at 50 mph)
The Distance to the park = 60t
The Distance from the park = 50(t + 1)
Obviously the distances should be the same, so equate them;
60t = 50(t + 1)
60t = 50t + 50
10t = 50
t = 50/10
t = 5 hours
Now figure the distance. We can use either equation for the distance to or from the park:
60t = 60(5) = 300 miles
50(t+1) = 50(6) = 300 miles
Therefore, the distance to or from the park will be 300 miles.
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Graph the line that represents this equation 3x - 4y = 8
The graph of the given linear equation can be seen at the end.
How to graph the line?
Here we have the linear equation:
3x - 4y = 8
Isolating, y, we can rewrite:
-3x + 4y = -8
4y = -8 + 3x
y = (-8 + 3x)/4
y = (3/4)*x - 2
Now, we can evaluate the line in two values of x, so we can get two points on the line.
Evaluating in x = 0 and x = 4 we get:
if x = 0
y = (3/4)*0 - 2 = -2
So we have the point (0, -2)
If x = 4 we get:
y = (3/4)*4 - 2 = 1
Then we have the point (4, 1).
Now we can graph these two points and connect them with a line, that is the graph of the linear equation.
The graph can be seen below.
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Assume EFG JKL. If m J = 90 , m K = 26 , and m L = 64 , what is the measure of E?
Answer:
I think its 90
Step-by-step explanation:
Answer:
E=90
Step-by-step explanation:
because EFG=JKL E=J F=K G=L
if OA= 3 & AB= 2 what is the ratio of the circumference of the smaller circle to the circumference of the larger circle
Answer:
(B) 3/5
Step-by-step explanation:
In the figure above, both circles have their centers at point O. Point A lies on segment OB. If OA = 3 and AB = 2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?
(A) 2/3
(B) 3/5
(C) 9/16
(D) 1/2
(E) 4/9
Answer: The circumference of a circle is the perimeter of the circle, that is it is the arc length of the circle. The circumference of a circle is given as:
Circumference = 2 π r. Where r is the radius of the circle.
The radius of the bigger circle = length of OB = OA + AB = 3 + 2 = 5
Circumference of the bigger circle = 2 π (5) = 10π
The radius of the smaller circle = length of OA = 3
Circumference of the smaller circle = 2 π (3) = 6π
The ratio of the circumference of the smaller circle to the circumference of the larger circle = circumference of the smaller circle / circumference of the larger circle = 6π / 10π = 3/5
You want to buy a new sweater. The regular price was
$48 dollars. The sale price was $34. What was the
percent of discount to the nearest percent?
Answer:
29%
Step-by-step explanation:
48-34 = 14 dollar saving
14/48 = 29.17 % = 29% saving
Answer:
29%
Step-by-step explanation:
48-34= 14 dollar saving
14/48 = 29.17% = 29% saving
HURRY PLEASE!!!
In circle Y, what is the measure of arc TU?
59°
67°
71°
118°
Answer:
71°
Step-by-step explanation:
m∠1 = (SR + TU)/2
m∠1 = 63°
SR = 55°
substitute into the equation
63° =(55° - TU) / 2
TU = (63° * 2) - 55°
TU = 71°
Can somebody plz help me [-5+(-7)]^2-(7+3)^2
Answer:
[tex]\boxed{44}[/tex]
Step-by-step explanation:
[tex][-5+(-7)]^2-(7+3)^2[/tex]
Resolving Parenthesis
[tex](-5-7)^2-(10)^2\\(-12)^2-100\\144-100[/tex]
=> 44
Answer:
[tex]\boxed{44}[/tex]
Step-by-step explanation:
[tex][-5+(-7)]^2-(7+3)^2[/tex]
Solve for brackets first.
[tex][-12]^2-(10)^2[/tex]
Solve the exponent or power.
[tex]144-100[/tex]
Subtract the numbers.
[tex]=44[/tex]
Kara mixes different colors of paint to create new colors. The table shows the amount of paint Kara mixes per batch.
Select all the batches that will create the same colors as the first batch.
A. Batch 2
B. Batch 3
C. Batch 4
D. Batch 5
E. Batch 6
Answer:
D. Batch 5.
Step-by-step explanation:
The batch should have the same proportion of blue to white to yellow.
In Batch 1, there are two parts of blue, 1.5 parts of white, and 1 part of yellow.
In Batch 5, there are four parts of blue, 3 parts of white, and 2 parts of yellow.
4 / 2 = 2
3 / 2 = 1.5
2 / 2 = 1
Since the proportions are equal to those found in Batch 1, D. Batch 5 will create the same colors as the first batch.
Hope this helps!
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answer:
$10.5 dollars
Step-by-step explanation:
Keep your brains.
Using the data given:
(18+4+12+8)÷4=
42÷4=
$10.5 dollars
Please can someone help me
Answer:
706.86 cm
Step-by-step explanation:
=4pi(r^2)
=12.56(r^2)
=12.56(7.5^2)
=12.56(56.25)
=706.86
Find each product
6xy2(x4+3x3y+3xy3)
PLEASE HELP!!! ASAP!!
Answer:
6x^3y^2+18x^4y^3+18x^2y^5
Step-by-step explanation:
Multiply each term:
6x^3y^2+18x^4y^3+18x^2y^5
Plz mark me brainliest!!
An expression is given -6m+9n-12
Answer -3(2m-3n+4)
Step-by-step explanation:
The television show Lett3rs has been successful for many years. That show recently had a share of 24, meaning that among the TV sets in use, 24% were tuned to Lett3rs. Assume that an advertiser wants to verify that 24% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a Lett3rs broadcast.
Find the probability that none of the households are tuned to Lett3rs. P(none) =
Find the probability that at least one household is tuned to Lett3rs. P(at least one) =
Find the probability that at most one household is tuned to Lett3rs. P(at most one) =
If at most one household is tuned to Lett3rs, does it appear that the 24% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?)
Answer:
(a) P(none) = 0.0488
(b) P(at least one) = 0.9512
(c) P(at most one) = 0.2186
(d) No, it doesn't appear that the 24% share value is wrong.
Step-by-step explanation:
We are given that among the TV sets in use, 24% were tuned to Lett3rs.
A pilot survey begins with 11 households have TV sets in use at the time of a Lett3rs broadcast.
Let X = Number of households that are tuned to Lett3rs
The above situation can be represented through binomial distribution;
[tex]P(X = r)=\binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]
where, n = number of samples (trials) taken = 11 households
r = number of success
p = probability of success which in our question is % of
households that were tuned to Lett3rs, i.e; 24%
So, X ~ Binom{n = 11, p = 0.24}
(a) The probability that none of the households are tuned to Lett3rs is given by = P(X = 0)
P(X = 0) = [tex]\binom{11}{0}\times 0.24^{0} \times (1-0.24)^{11-0}[/tex]
= [tex]1\times 1 \times 0.76^{11}[/tex]
= 0.0488
(b) The probability that at least one households are tuned to Lett3rs is given by = P(X [tex]\geq[/tex] 1)
P(X [tex]\geq[/tex] 1) = 1 - P(X = 0)
= 1 - 0.0488
= 0.9512
(b) The probability that at most one households are tuned to Lett3rs is given by = P(X [tex]\leq[/tex] 1)
P(X [tex]\leq[/tex] 1) = P(X = 0) + P(X = 1)
= [tex]\binom{11}{0}\times 0.24^{0} \times (1-0.24)^{11-0}+\binom{11}{1}\times 0.24^{1} \times (1-0.24)^{11-1}[/tex]
= [tex]1\times 1\times 0.76^{11}+11\times 0.24^{1} \times 0.76^{10}[/tex]
= 0.2186
No, it doesn't appear that the 24% share value is wrong because the probability that at most one household is tuned to Lett3rs is somewhere close to 24% and this probability is also not unusual as it is way more than the criteria of more than 5%.
HELP ASAP PLEASE
I JUST NEED WORK SHOWN BUT ASAP
Answer:
s = 25.33m
θ = 60.65°
12.37m
A = 160m^2
Step-by-step explanation:
The pyramid has a side base of 35m and a height of 22m.
side base = b = 35m
height of the pyramid = h = 22m
To calculate the slant edge of the pyramid, you first calculate the diagonal of the squared base of the pyramid.
You use the Pythagoras theorem:
[tex]d=\sqrt{(\frac{35}{2})^2+(\frac{35}{2})^2}=24.74[/tex]
With the half of the diagonal and the height, and by using again the Pythagoras theorem you can calculate the slat edge:
[tex]s=\sqrt{(\frac{24.74}{2})^2+(22)^2}=25.23[/tex]
The slant edge of the pyramid is 25.33m
The angle of the base is given by:
[tex]\theta=sin^{-1}(\frac{h}{s})=sin^{-1}(\frac{22}{25.23})=60.65\°[/tex]
The angle of the base is 60.65°
The distance between the corner of the pyramid and its center of its base is half of the diagonal, which is 24.74/2 = 12.37m
The area of one side of the pyramid is given by the following formula:
[tex]A=\frac{(b/2)l}{2}[/tex] (1)
l: height of the side of pyramid
then, you first calculate l by using the information about the side base and the slant.
[tex]l=\sqrt{s^2-(\frac{b}{2}^2)}=\sqrt{(25.33)^2-(\frac{35}{2})^2}\\\\l=18.31m[/tex]
Next, you replace the values of l and b in the equation (1):
[tex]A=\frac{(35/2)(18.31)}{2}=160m^2[/tex]
The area of one aside of the pyramid is 160m^2
the figure is cut into 8 pieces.
shade 1/2 of the figure
You have to shade 4 boxes of the figure.
What is fraction?Fractions are used to represent smaller pieces of a whole.
Given is a box with 8 parts of it,
1/2 of 8 = 8*1/2 = 4
Hence, You have to shade 4 boxes of the figure.
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|x–5|=–5 plzz help me
Answer:
(0-5)=-5
-5-5 = 0
x=0
Step-by-step explanation:
Which graph corresponds to the equation: y=−2x−6 A. graph that contains the points (0,-3) and (6,0) B. graph that contains the points (3,0) and (5,4) C. graph that contains the points (-3,0) and (-5,4) D. graph that contains the points (-6,0) and (2,-4)
Answer: C. graph that contains the points (-3,0) and (-5,4).
Step-by-step explanation:
Given equation of line: [tex]y=-2x-6[/tex]
Now, Let's check each option
A. Put (x,y)=(0,-3), i.e. x=0 and y=-3 in given equation
[tex]-3=-2(0)-6\\\\\Rightarrow\ -3=-6[/tex]
which is not true.
So, option A. is not correct.
B. Put (x,y) = (3,0), i.e. x=3 and y=0
[tex]0=-2(3)-6\\\\\Rightarrow\ 0=-6-6\\\\\Rightarrow\ 0=-12[/tex]
which is not true.
So option B. is not correct.
C. Put (x,y) = (-3,0), i.e. x=-3 and y=0
[tex]0=-2(-3)-6\\\\\Rightarrow\ 0=0[/tex] , which is true.
Put (x,y) = (-5,4) ,
[tex]4=-2(-5)-6\\\\\Rightarrow\ 4=10-6\\\\\Rightarrow\ 4=4[/tex], which is true.
So both points in option C satisfy the given equation.
That means, option C is correct.
D. Put (x,y) = (-6,0)
[tex]0=-2(-6)-6\Rightarrow\ 0=6[/tex] , which is not true.
So option D. is not correct.
Which of the points listed is the same distance from the y-axis as the point (-4,7.5)?
Answer:
(4,7.5)
Step-by-step explanation:
Reflect (-4,7.5) at the y-axis
2/3 of 27 equal 25% of a number
Answer:
The number is 72
Step-by-step explanation:
2/3*27 = 2*9 = 18
so 18 = 25%
25% = 1/4
so 1/4 = 18/?
so ? = 18*4 = 72
Answer:
x=72
Step-by-step explanation:
This is an easy equation.
2/3*27=25/100x
solve.
2/3 * 27 is 18
18=25/100x
Divide. (25/100 can be converted to 1/4
Divide 18 by 1/4x
x=72!
Cheers, I hope you can understand.
If f(x) = -8x + 8 and g(x) = (x–9,
what is (fºg)(18)?
Enter the correct answer.
DOHO
DONE
Clear all
OOO
o
HURRY !
Answer:
Step-by-step explanation:
(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:
g(18) = 18 - 9 so
g(18) = 9. Now take that 9 and plug it into the f function in place of x:
f(9) = -8(9) + 8 and
f(9) = -72 + 8 so
f(9) = -64
NEED HELP ASAP WILL AWARD BRAINLIEST!!!!!
Answer: 69
Step-by-step explanation:
Isosceles trapezoid ABCD is inscribed in ⊙O with radius 5. AD=6 and the median of ABCD has length 7. Find the distance from AD to BC. this was the only info given!
Answer:
The distance from AD to BC is 7
Step-by-step explanation:
The information given are;
The type of inscribed quadrilateral ABCD = Isosceles trapezoid
The radius of the circle = 5
Segment AD of ABCD = 6
The median of the trapezoid ABCD = 7
Given the trapezoid theorem, the median is equal to half the length of the two bases added together, we have;
(AD + BC)/2 = 7
Which gives;
(6 + BC)/2 = 7
BC = 7×2 - 6 = 8
Therefore the distance from AD to BC is given by the distance from BC to the median line added to the distance from AD to the median line given as follows;
The distance from BC to the median = √(Radius² - (BC/2)²) = √(5² - (8/2)²) = 3
The distance from BC to the median = 3
The distance from AD to the median = √(Radius² - (AD/2)²) = √(5² - (6/2)²) = 4
Which gives;
The distance from AD to BC = 3 + 4 = 7
In one month, the median home price in the Northeast rose from $225,400 to $241,500. Find the percent increase. Round your answer to the nearest tenth of a percent.
Answer:
7.1%
The percentage increase is 7.1%
Step-by-step explanation:
Percentage increase %∆P is the percentage change in the price.
Percentage increase %∆P = ∆P/Pr × 100%
Where;
∆P = change in sales price = $241,500-$225,400
Pr = regular price = $225,400
Substituting the given values;
%∆P = (241,500-225,400)/225,400 × 100%
%∆P = 7.142857142857% = 7.1%
The percentage increase is 7.1%
ASAP!!! PLEASE help me solve this question!!!! I really need help...
Answer:
304(pi) g
Step-by-step explanation:
First we find the volume of the hollow ball. Then we find the mass using the volume and density.
Let R = exterior radius = 3 cm
Let r = interior radius = 2 cm
volume = exterior volume - interior volume
volume = (4/3)(pi)R^3 - (4/3)(pi)r^3
volume = (4/3)(pi)(R^3 - r^3)
volume = (4/3)(pi)(3^3 - 2^3) cm^3
volume = (4/3)(pi)(27 - 8) cm^3
volume = (76/3)pi cm^3
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 12 g/cm^3 * (76/3)pi cm^3
mass = 304(pi) g
Answer: 304(pi) g
Answer:
m=(76π/3 )(12)=304πg
Step-by-step explanation:
volume of sphere=(4πr³)/3
V=4π(2)³/3=32π/3 of the interior
V of exterior=4π(3)³/3=36π
Volume of the whole metal =108π/332π/3=76π/3=25 1/3 π
m=V*D ( volume * density)=
m=(76π/3 )(12)=304πg
explain briefly. in your own words.
Rational and irrational numbers.
give examples.
exponential equation.
rational numbers are numbers which can be expressed in fraction form whereas irrational is just opposite
Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by .
An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 ft.
Answer:
The distance between the plane and the observer is 16,659.18ft
Step-by-step explanation:
Complete question:
(An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 ft, what is the distance between the observer and the plane)
Hello,
The question above requires us to find the distance between an observer and a plane. This is very much easy because we are given the angle at which the observer makes with the plane. To solve this question correctly, we need a pictorial representation of the situation.
See attached document for better illustration
In the diagram, we need to find x.
Since the observer and the plane makes a right angled triangle with the distance apart them, we can use SOHCAHTOA
In this case, we have to use Tangent
Tanθ = opposite/ adjacent
θ = 42°
Opposite = 15,000
Adjacent = x
Tan42 = 15000 / x
x = 15000 / tan42
x = 15000 / 0.90
x = 16,659.18ft
The horizontal distance between the observer and the plane is 16,659.18ft
Answer:
I am not too sure but I know it is not 10,035, or 16,648, nor 20,188 because I put that and it wasn’t right so the last option would be.
22,417
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches. What is the surface area of the cone? Express the answer in terms of .
Answer:
Step-by-step explanation:
Given data:
Circumference of the base of the cone = 24in.
Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in
Surface area l = pie x radius ( slant height + radius)
= 3.142 x 6 (20 + 6)
= 3.142 x 6 (26)
= 3.142 x 156
= 490.152in^2
Answer:
384pi inches hop it halp!!!
Step-by-step explanation: