Answer:
1 : 4
Step-by-step explanation:
Remember, your units have to match, so
3 in : 1 ft
doesn't look right, change 1 ft to 12 in.
3 in : 12 in
reduce by 3
1 : 4
Varuns monthly income is 18000 he spends 1/5 of his income for house rent and 3/5 of his income on other expenditure how much does he save every month
Answer:
$3600
Step-by-step explanation:
Given:
Total income T = $18,000
Fraction of income spent on house rent f1 = 1/5
Fraction of income spent on other expenditures f2 = 3/5
Fraction of income saved is;
f = 1 - (1/5+3/5) = 1 - 4/5
f = 1/5
The Amount he save is A;
A = fraction saved × total amount = f × T
Substituting the values
A = 1/5 × $18,000
A = $3,600
The Amount he save is $3,600
Answer: Varun saves 3,600 every month
Step-by-step explanation: Varun's income in the first instance is fixed at 18000, and out of this amount he spends 1/5 on house rent. We shall now determine the amount represented by 1/5 as follows;
Total income = 18000
House rent = 1/5
Rent expense = 1/5 of 18000
Rent expense = 1/5 * 18000
Rent expense = 3600
he also spends 3/5 on other expenditure
Other expenditure = 3/5 of 18000
Other expenditure = 3/5 * 18000
Other expenditure = (3 * 18000)/5
Other expenditure = 54000/5
Other expenditure = 10800
His expenses therefore have been derived as
Total expenditure = 3600 + 10800
Total expenditure = 14400
His savings per month therefore is derived as;
Total income - total expenditure = savings
18000 - 14400 = savings
3600 = savings
Therefore, Varun saves 3,600 every month
Which relationships about the interior and exterior
angles are true? Check all that apply.
aº + bº + c = 180°
xº + a = 180°
aº = cº
aº + c = 90°
X+ a = bº + c
Answer:
only A and B are correct
Step-by-step explanation:
all angles in a triangle will always add up to 180
all adjacent angles on a straight line will always add up to 180
Answer:
A and B are correct.
Step-by-step explanation:
This is what I got on EDG
I hope this helps!!!!
At gameplay you can buy a Xbox one for $150 and each game to go with it would cost $24 or you can buy a PlayStation 4 for $180 and each game for $20. Write an equation to determine how many games would need to be purchased for the cost to be equal
Answer:
it depends how many games you want. If you want 1 game for the xbox then its $174 but if you want a ps4 with a game then its $200. I would go with the xbox.
Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living room floor. Which size of rug should she buy? *
Answer:
180 square feet
Step-by-step explanation:
A rug that is geometrically similar to her room floor is one that has the same size as her room floor.
The floor has dimensions 12 feet by 15 feet.
The area of the floor and hence, the rug is:
A = 12 * 15 = 180 square feet
She should buy a rug that is 180 square feet
Five times one number minus two times a second number is 11. Three times the first number minus two times the second number is 1. what are the numbers?
Answer:
first number is 5
second number is 7
Step-by-step explanation:
let x and y represent the first and second number
5x - 2y = 11 ........ equation 1
3x - 2y = 11.......... equation 2
so by elimination, equation 1 minus equation 2
5x - 3x - 2y - 2y = 11 - 1
2x = 10
x = 5
therefore the first number is 5
put x = 5 into equation 1
5x - 2y = 11
5(5) - 2y = 11
25 - 2y = 11
-2y = 11 - 25
-2y = - 14
y = 7
therefore the second number is 7
hope it helps .
Answer 5, 6 , and 7 by today please.
Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
help? Give the equation of the line passing through the points (9/4,4/11) , (9/4, 7) .
Answer:
x = 9/4
Step-by-step explanation:
Since the x coordinates are the same, it is a veritcal line with x = 9/4
What is the value of [2/3]-4
Answer:
option 4
Step-by-step explanation:
[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\(\frac{2}{3})^{-4}=(\frac{1}{\frac{2}{3}})^{4}\\\\=(\frac{3}{2})^{4}\\\\=\frac{3^{4}}{2^{4}}\\\\=\frac{81}{16}[/tex]
Mike built a sand castle that measured 484 centimetres by 386 centimetres, and dug a moat around it.Afterward, he decided to change the castle size, making it 725 centimetres by 314 centimetres.How much longer will the newer moat be than the older one?
Answer:
the newer moat is 169 cm longer than the older one
Step-by-step explanation:
in order to find the difference in length of the two castles, we will first find the perimeters of the two castles then calculate the difference in the perimeters:
old castle:
dimension = 484cm by 386cm
perimeter = 484 + 386 = 870 cm
new castle:
dimension = 725cm by 314cm
perimeter = 725 + 314 = 1039 cm
difference = 1039 - 870 = 169 cm
The total length of the moats used is equals to the perimeter of the sand castles, therefore, the newer moat is 169 cm longer than the older one.
Answer:
Look I know I'm about 2 1/2 years late but the answer is not 169 or whatever the person above me said, it's 660 I answered this before.
can someone answer number 11 and show the work? I need it bad, please .
Answer: 8
Evaluating the function for x = -1
[tex]f(x)=x^2+7\\f(-1)= (-1)^2+7\\f(-1)=8[/tex]
What is the solution to y = x² + 5x – 2
y = 3x - 2
Answer:
(0,-2)(-2,-8)
Step-by-step explanation:
Answer:
(0,-2) (-2,-8)
Hope this helps
What is the average rate of change from x = 0 to x = −2?
How I got that answer:
The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.
m = (y2 - y1)/(x2 - x1)
m = (2 - (-4))/(-2-0)
m = (2 + 4)/(-2-0)
m = 6/(-2)
m = -3
A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.
Pentagon A B C D E is reflected across the line of reflection m to pentagon A prime B prime C prime D prime E prime. Pentagon A prime B prime C prime D prime E prime is rotated about point C prime 180 degrees clockwise. Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? 90 degree rotation about point C prime composition reflected across line m Reflected across line m composition 90 degree rotation about point C prime 180 degree rotation about point C prime composition reflected across line m Reflected across line m composition 180 degree rotation about point C prim
Answer: It’s C i got it right on the test
Step-by-step explanation:
RC’ ,180 o r m
Answer:
It's C I got a 100 on the test
Step-by-step explanation:
A and B have to be wrong because there is no 90° rotation and D isn't right because it's backwards
7,10) and (7,20). Slope or no slope
Answer: No slope
Step-by-step explanation: The line is going straight down.
Please help me with this question
Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
__
A graphing calculator confirms this result.
D(t)D, left parenthesis, t, right parenthesis models the distance (in thousands of \text{km}kmstart text, k, m, end text) from the earth to the Moon ttt days after the moon's perigee (when it's closest to the earth). Here, ttt is entered in radians. D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384D(t)=−21cos( 29.5 2π t)+384D, left parenthesis, t, right parenthesis, equals, minus, 21, cosine, left parenthesis, start fraction, 2, pi, divided by, 29, point, 5, end fraction, t, right parenthesis, plus, 384 How many days after its perigee does the moon first reach 380380380 thousands of \text{ km} kmstart text, space, k, m, end text from the Earth?
Answer:
6.48 days
Step-by-step explanation:
[tex]D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384\\\\380=-21\cos\left(\dfrac{2\pi}{29.5}t\right)+384\\\\\dfrac{4}{21}=\cos\left(\dfrac{2\pi}{29.5}t\right)\qquad\text{subtract 384, divide by -21}\\\\\dfrac{2\pi}{29.5}t=\arccos{\dfrac{4}{21}}\qquad\text{use the inverse cosine function}\\\\t=\dfrac{29.5}{2\pi}\arccos{\dfrac{4}{21}}\approx 6.4752\quad\text{days}[/tex]
About 6.48 days after perigee, the moon reaches a distance of 380,000 km from Earth.
What is the range of the function below?
Answer:
C
Step-by-step explanation:
f(x)=72-4x
72-4x=0
4x=72
x=18
f(x)<=18
what is the sigh of 48 2/9 + (-39 8/9)
Choose 1 answer:
Positive
ON
Negative
Neither positive nor negative-the sum is zero.
Answer:
NEGATIVE SIGH
Step-by-step explanation:
The Answer is 24
Answer:
the answer is positive
It is said that about 60% of the human body is made up of water. Adam weighs 78 kg. How much of his body weight is made up of water?
Answer:
46.8 kg
Step-by-step explanation:
78 * 0.6 = 46.8
Evaluate and simplify 2ab-1/3e-3d
Answer: 2ab - e/3 - 3d
Step-by-step explanation:
2ab - 1/3e - 3d
= 2ab - 1e/3 - 3d
= 2ab - e/3 - 3d
What is 34×60 Brainliest Answer Wins
Answer:
2040
Step-by-step explanation:
34x60=2040
Answer:
2040
Step-by-step explanation:
So we multiply them on a calculator.
5.
Solve the equation.
(4x+10)^1/4 = (9+7x)^1/4
Answer:
1/3
Step-by-step explanation:
[tex]\sqrt[4]{4x+10}[/tex] = 4x+10 ^1/4
[tex]\sqrt[4]{9+7x}[/tex]= 9+7x^1/4
Since they are under the same root, you can combine them under the root.
Then you change the +/- sign of one side of the equation to move to the other side of the equation.
To get....[tex]\sqrt[4]{-3x+1}[/tex]=0
^4 both sides to get..
-3x+1=0
Move 1 to the other side...
-3x=-1
divide both sides by -3
x=1/3
-7 written as a fraction is _____
what is equivalent to 5 x a
1. 5a
2. a^5
3. a x a x a x a x a
4. 5^a
Answer:
5a
Step-by-step explanation:
[tex]5\cdot \:a\\\\[/tex]
5 multiply a
5a
4. A triangle plotted in the coordinate plane has vertices at (2, 3), (sqrt15,3) and (4,8). Which of the following
is closest to its area?
(1) 4.68
(3) 7.12
(2) 5.93
(4) 8.76
Answer:
Option(1) is the correct answer to the given question .
Step-by-step explanation:
let [tex]x1, y1=\ (2, 3)[/tex]
[tex](x2,y2)=(\sqrt{15,3} \ )[/tex]
[tex](x3,y3)=\ (4,8)[/tex]
Now we know that
[tex]Area=\ \frac{1}{2} |x1(y2-y3)\ + \ x2(y3-y1)\ + x3(y1-y2)[/tex]
Now putting this value in the formula we get
[tex]\frac{1}{2}|2(3-8)\ +\sqrt{15}(8-3)\ * 4(5-3)|[/tex]
[tex]=\ \frac{1}{2}\ *9.3649[/tex]
=4.6824
Therefore option(1) is the correct answer .
Answer:
Option(1) is the correct answer to the given question .
Step-by-step explanation:
please help me w dis!! marking brainiest!!!
Answer:
D
Step-by-step explanation:
Distributing the factors we get
-8x^2 -6x +35
What is the value of x if:
-0.1x + 3/10 = 4/10
Solve as linear equation.
NEED HELP ASAP
Answer:
x= -1
Step-by-step explanation:
Solving through linear equation,
-0.1x + 3/10= 4/10
Bring 3/10 to the other side making it minus
-0.1x = 4/10 - 3/10
-0.1x = (4-3)/10
-0.1x= 1/10
Bring -0.1 to the other side n divide
x= 1/10 ÷ -0.1
( Note that -0.1 is the same as -1/10)
x = 1/10 ÷ -1/10
= 1/10*-10/1
= -10/10
= -1
Mrs. Smith’s students are trying to guess her age. She gives them 3 clues: (1) “My age is a factor of 60.” (2) “My age is a multiple of 5.” (3) “My age is more than 20 but less than 50.”
a
How old is Mrs. Smith?
The table represents a linear function.The rate change between the points (-5,10) and (-4,5) is -5 what is the rate of change between points (-3,0) and (-2,-5)
Answer:
The rate of change is "5"
which agrees with the last answer option
Step-by-step explanation:
Use the expression for the rate of change between two points on the plane:
[tex]rate\,of\,change=\frac{y_2-y_1}{x_2-x_1} \\rate\,of\,change=\frac{-5-0}{-2-(-3)}\\rate\,of\,change=\frac{-5}{1}\\rate\,of\,change=5[/tex]
Answer: is 5 I just took the test
Step-by-step explanation:
Dana has to pay 25% tax on any income above £24,000 per year. Dana is paid £36,000 annually. Calculate the amount of money she receives after tax each month.
Answer:
£2,750
Step-by-step explanation:
Tax rule: 25% tax on any income above £24,000 per year
It means that upto £24,000 there is no tax and the amount above £24,000
is taxable.
Annual payment of Dana = £36,000
Hence, she will be taxed only on amount above £24,000 out of £36,000.
Lets find amount above £24,000 = £36,000- £24,000 = £12,000
Tax on £12,000 = 25% of £12,000 = 25/100 * £12,000 = £3,000
Thus, £3,000 will be deducted as tax annually out of total earning of £36,000.
Amount paid to Dana after deduction of tax annually = £36,000 - £3,000
Amount paid to Dana after deduction of tax annually is £33,000
As one year has 12 months , hence it can be also said that in 12 months she is paid £33,000
the amount of money she receives after tax in 12 month = £33,000
Dividing LHS and RHS by 12
The amount of money she receives after tax in 12/12 month = £33,000/12
The amount of money she receives after tax in 1 month = £2,750
The amount of money Dana receives after tax each month is £2,750.
