Answer:
1/3
Step-by-step explanation:
bc 2/6 reduces to 1/3
2,704 rounded to the nearest thousand
Answer:
3000,
Step-by-step explanation:
5 or above round up, 4 and below keep it the same
Alexandra spends 1/3 of her daysleeping and 3/8 of her day at work. What fraction of Alexandra’s day is occupied by sleep or work?
Answer:
17/24
Step-by-step explanation:
Change the denominators to match
8/24 + 9/24 = 17/24
Which point could represent 5/3?
B -3
A -1/2
D 1/2
C 1 1/2
Answer:
(D)
Step-by-step explanation:
is the correct because is 1/2
Answer:
C. 1 1/2
Step-by-step explanation:
Piper opened a savings account with $1400 that pays no interest. She deposits an
additional $50 each week thereafter. How much money would Piper have in the
account 47 weeks after opening the account?
Answer:
$3700
Step-by-step explanation:
Given that:
Initial amount = $1400
Amount deposited per week = 50
Amount after 47 weeks =?
Using the Arithmetic Progression relation :
Tn = A + (n - 1)d
Weekly deposit = d = 50
A = initial / first deposit = 1400
n = number of deposits
T47 = 1400 + (47 - 1)50
T47 = 1400 + (46)*50
T47 = 1400 + 2300
T47 = 3700
Answer:
$3750
Step-by-step explanation:
T47 = 3750
Measurement A equals 6X - 35°
Answer:
............the answer is 97
Nobody wants to answer my questions for brainliest
Do the boyz got me do?
The radius of a circle is 10 centimeters. What is the length of a 45° arc?
In the expression -3g + 12, how many terms are in the expression? *
1
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2
Answer:
There are 1 terms.
5x+kr has 3 terms
Step-by-step explanation:
-3g has 1 term. 12 has none. so it is 1
5x has 1 term and kr has 2 terms and 2+1 is 3 terms.
hey um, so i’m learning ab percentages in my math class so can someone please explain to me how to solve percent problems if that’s ok? thank you.
Answer:
It's pretty simple. For example, if it says there is a percentage increase on something like there is a jacket for $25 and there was a 15% increase, you multiply 25 by 1.15 to see what the new price is. But say if the same $25 jacket is on sale for 15%, then you can multiply 25 by .15, then subtract that from 25 or originally subtract the 15% from 100 which is 85 and multiply 25x.85 and get the answer directly.
Hope this helps! But this would be easier to explain with an example
If the roots of the equation
lx²+nx+n=o is in the ratio p:q
then
√(p/q) + √(q/p)=?
Step-by-step explanation:
Let the given ratio be pk : qk .
So , here the quadratic equation is lx² + nx + n = 0. With respect to Standard form ax² + bx + c = 0.
We have ,
a = lb = nc = n→ Sum of roots = -b/a = -n/l = qk + pk
→ Product of roots = c/a = n/l = k²pq .
[tex]=> \dfrac{n}{l} = \dfrac{k^2}{pq} \\\\=> k^2 =\dfrac{n}{pql} [/tex]
And here pk and qk is a root of the quadratic equation ,
[tex]=> lx^2 + nx + n = 0 \\\\=> l(pk)^2 + n(pk) + n = 0\\\\=> lp^2k^2+npk + n = 0 \\\\=> lp^2\bigg( \dfrac{n}{pql} \bigg) + np\bigg(\sqrt{\dfrac{n}{pql}} \bigg) + n = 0 \\\\ => n\bigg\{\dfrac{p}{q}+\sqrt{\dfrac{np}{lq}}+1\bigg\} = 0 \\\\=> \dfrac{p}{q}+\sqrt{\dfrac{np}{lq}}+1 =0\\\\=>\sqrt{\dfrac{p}{q}} \bigg( \dfrac{q}{p}+\sqrt{\dfrac{np}{lq}}+1\bigg) = 0 \\\\=> \sqrt{\dfrac{p}{q}}+ \sqrt{\dfrac{q}{p}}+ \sqrt{\dfrac{n}{l}}=0 \\\\\boxed{\red{\bf\longmapsto \sqrt{\dfrac{p}{q}}+ \sqrt{\dfrac{q}{p}} = - \sqrt{\dfrac{n}{l}}}} [/tex]
Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror car
be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. Where should she place the
bulb to ensure a perfect beam of light?
(0
1)
(0, 4)
(1, 0)
(4, 0)
Answer:
Step-by-step explanation:
0,1
The bulb should be placed at (1,0).
What is Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
Given:
Suppose the equation of parabolic mirror is y² = 4ax.
The given data in the is x = 1 and y = 2
So, the value is y² = 4ax
4 = 4 a (1)
a = 1
So x = 1
and, the focus is at (x, y) is (1,0).
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Write an Inequality to represent a graph.
Answer:
nun of the 3 you gave use so the last one the 4th
Step-by-step explanation:
Which of the following is an equation for line m shown below which is perpendicular to the line whose equation is y=2/3x + 4
1) y= -2/3x + 8
2)y= 3/2x + 6
3)y= -2/3x + 12
4)y= -3/2x + 4
The line perpendicular to the line y = 2/3x + 4 is 4) y = -3/2x + 4.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
The given equation of a line in slope-intercept form is y = (2/3)x + 4.
Now, We know lines perpendicular to each other have slopes that are negative reciprocal to each other.
If one line has a slope of 'm' the line perpendicular to it will have slope
(-1/m).
Therefore, From the given options the line y = -(3/2)x + 4 is the line perpendicular to the line y = (2/3)x + 4.
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19) Albert says that the two systems of equations shown have the same solutions.
FIRST SYSTEM
6x + y= 2
-x-y=-3
SECOND SYSTEMS
2x-3y = -10
-X-y= -3
A) Agree, because the solutions are the same
B) Agree, because both systems include -x-y= -3
C) Disagree, because the solutions are different
D) Cannot be determined
Answer:
option A) Agree, because the solutions are the same is correct.
Step-by-step explanation:
FIRST SYSTEM
[tex]6x + y= 2[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18[/tex]
[tex]\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}[/tex]
adding the equation
[tex]-6x-6y=-18[/tex]
[tex]+[/tex]
[tex]\underline{6x+y=2}[/tex]
[tex]-5y=-16[/tex]
so the system becomes
[tex]\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]6x+\frac{16}{5}=2[/tex]
subtract 16/5 from both sides
[tex]6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}[/tex]
[tex]6x=-\frac{6}{5}[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{-\frac{6}{5}}{6}[/tex]
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the FIRST SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
SECOND SYSTEM
[tex]2x-3y = -10[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6[/tex]
[tex]\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}[/tex]
[tex]-2x-2y=-6[/tex]
[tex]+[/tex]
[tex]\underline{2x-3y=-10}[/tex]
[tex]-5y=-16[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
Simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]2x-3\cdot \frac{16}{5}=-10[/tex]
[tex]2x=-\frac{2}{5}[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-\frac{2}{5}}{2}[/tex]
Simplify
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the SECOND SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
Conclusion:
As both systems of equations have the same solution.
Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.
Hence, option A) Agree, because the solutions are the same is correct.
what is the area of this trapezoid?
plss help
i will telling you a brainlist!!!
Answer:
30in²
Step-by-step explanation:
A=1/2(4)(5+10)
A=2x15
A=30in²
9. Gross Margin equals $50,000, operating expenses equals $23,000, income
taxes equals $5,400 and sales is $110,000. What is the company's net income?
Answer:
$21600
Step-by-step explanation:
Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:
Net income = Revenue - cost of goods sold - operating expenses - tax.
But Gross margin = gross profit = Revenue - cost of goods sold. Hence:
Net income = Gross margin - operating expenses - tax.
Substituting gives:
Net income = $50000 - $23000 - $5400
Net income = $21600
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)
Answer:
69.04
Step-by-step explanation:
Given that:
Mean (m) = 69.0
Standard deviation (s) = 2.8
Zscore = 0.2
Find the corresponding height (x) ;
Using the relation :
Zscore = (x - m) / s
0.2 = (x - 69.0) / 0.2
0.04 = x - 69.0
0.04 + 69.0 = x
69.04 = x
Hence, the height of a man with a Zscore of 0.2 is 69.04
You leave a pile of sand in your backyard on a windy day. Every minute the wind blows away 10 percent of the remaining sand. You started with five cubic feet of sand. What equation models the amount of sand after minutes?
Answer:
10% of the remaining sand You had 5 ft of sand So y=5(.10(x))Answer:
the RIGHT answer is y = 5 x 0.90^x
Step-by-step explanation:
ten percent has already been blown away, so you only include the percentage of what hasn't been blown away in the equation. (also i just did the assignment and got 100% so you can trust this).
What is the equation of the line that passes through the points (-3, -2) and (1, 6)?
Answer:
y = 2x +4
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} - x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~
(1, 6)
(- 3, - 2)
m = 2
y - 6 = 2 ( x - 1 ) <------ ( point-slope form )
y = 2x + 4 <------- ( slope-intercept form )
2x - y = - 4 <------ ( standard form )
In a flower basket, the ratio of red roses to white roses is 2 to 3. There are a total of 20 roses in the basket. How many red roses are in the basket?
Allan bought a sweater
for $78 and a shirt for
$29. How much more did
the sweater cost than
the shirt
Answer:
$49
Step-by-step explanation:
78 - 29 = 49
To get 49, I subtracted 29 from 78.
Little Joey can finish carpeting ½ of a room in ¼ of an hour. At this rate, how many rooms can he carpet in 1 hour?
Answer:
2 rooms
Step-by-step explanation:
1/2 divided by 1/4 is 2
2 times 1 = 2
Answer - 2
How is the area of a polygon defined?
Answer:
This simple formula: area = 1/2 x perimeter x apothem.
It means: Perimeter × the sum of the lengths of all the sides.
Hope it helps!<3
Answer:
The surface of the polygon is the total space or area that is limited by the borders of the polygon.
Step-by-step explanation:
This area is the amount of space limited by the borderlines and occupied by a polygon. By definition, the sides of the polygon are the same in size. The area of any polygon can be defined by dividing the polygon into triangles.
Which of the following is equal to 7 1/4
Answer:
D. [tex]\sqrt[4]{7}[/tex]
Step-by-step explanation:
Answer:
d.
Step-by-step explanation:
A travel agency is advertising a vacation package that includes $250 fora $40a day for hotel. The agency also offers the option of eating breakfast and lunch at the hotel for
$10 a day for the length of the hotel stay.
Answer:
V(d) = 50d + 250 us the answer
The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.
The equation for the function can be framed as follows:
Per day expense = 40 + 10 = 50
Fixed expense = 250
V(d) = 5d + 250
Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
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Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A
Answer:
x = 37
y = 79
Step-by-step explanation:
Remark
We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.
Top diagram.
The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.
Put in much simpler language.
<ACB = <AC'B
The end points of the angles are A and B of the Chord AB.
The Vertex of the angles are both on the major arc of the circle. These two are C and C'
Bottom Diagram
The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.
Draw diameter COA Construction
< CAB = 90 Any vertex (C) on circumference with diameter endpoints (A & C) = 90
<CAT_1 = 90 A diameter always meets a tangent at 90o
<BAT_1 = 37 Given
<CAB = 90-37 <CAB and <BAT_1 are complementary
<ACB = 37 A right triangle's acute angles are complementary.
<ACB = x = 37o See top diagram
need the answer thank you
Answer:
Part A: 24
Part B: 256
Step-by-step explanation:
Part A
Without Repetition means that once you use a number out of the given four, it can't be used again.
So the first number can be chosen 4 different ways.The second number can be used 3 different ways.The third number can be chosen 2 different waysAnd the last number has only 1 way to be chosen.Answer: 4*3*2* 1 = 24
Part B
Part B allows repetition. That means that the numbers can be used as many as 4 times.
Answer: 4*4*4*4 = 256
Stephanie spends $15 each month to belong to a photography club. As a member of the club she can develop rolls of film for $2.50 each. Write and solve an equation to find the total amount Stephanie will spend this month if she develops 5 rolls of film.
Answer:
2.5*5= 12.5
15-12.5=2.5
So in order to pay the 15 dollars in the photography club, she only has to pay 2.50
PLEASE HELP!!!
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x<44)?
O A. 0.16
O B. 0.84
O C. 0.975
O D. 0.025
To solve this problem, we can simply use the formula of normal distribution and substitute the values where required.
The value of P(x <= 44) is 0.025 which is option D
ProbabilityGiven the value of the mean, normal distribution and standard deviation, we can calculate where the value lies
Data;
Mean = 50S.D = 3X = 44But we know that
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Let's substitute the values of x, standard deviation and mean into the equation above
[tex]z = \frac{x-\mu}{\sigma} \\z = \frac{44-50}{3} =-2[/tex]
Solving this further;
[tex]P(z\leq -2) = \frac{1}{2} - \frac{1}{2}(0.9545)\\p(z\leq -2) = 0.025[/tex]
The value of P(x <= 44) is 0.025 which is option D
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Answer:
The answer is 0.16 other guy wrong
Step-by-step explanation:
How do I simplify 25.3(2.4)
Answer:
60.72
Step-by-step explanation:
you multiply 25.3 by 2.4