Answer:
1 bedroom = $280
2 bedroom = $400
3 bedroom = $560
Step-by-step explanation:
Given that :
Total rent received = 1240
Rent amount of 3 bedroom = 2 times rent of 1 bedroom
Let 1 bedroom = x
2 bedroom = y
3 bedroom = 2x
x + y + 2x = 1240
3x + y = 1240 ---(1)
Repair cost :
10% of x = 0.1x
20% of y = 0.2y
30% of 2x = 0.6x
0.1x + 0.2y + 0.6x = 276
0.7x + 0.2y = 276 - - - (2)
From (1)
y = 1240 - 3x
0.7x + 0.2(1240 - 3x) = 276
0.7x + 248 - 0.6x = 276
0.1x + 248 = 276
0.1x = 28
x = $280
1 bedroom = $280
3 bedroom = $280 * 2 = $560
2 bedroom = $1240 - $840 = $400
What is the opposite of each number?
Drag the answer into the box to match each number.
Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa
Step-by-step explanation:
so 0.005 would be -0.005
Answer:
the opposite of 0.005 is -0.005
the opposite of 1/2 is -1/2
the opposite of 0 is 0
the opposite of -2 is 2
Step-by-step explanation:
A trapezoid. Sides R U and S T are parallel.
Examine the trapezoid. Which sides are parallel?
sides RU and ST
sides RS and ST
sides ST and UT
sides RS and UT
Answer:
Sides RU and ST
Step-by-step explanation:
Just did the quiz
Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3
Answer:
Step-by-step explanation:
|A|= 5, 2, -3, -5
|Ax|= 14, 2, 3, -5,
|Ay|= 5, 14, -3, 3
The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.
In terms of determinants, it can be written as,
[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].
[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].
[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].
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Why does sin54°≈0.809≈cos36° in a right triangle?
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.
C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.
D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.
9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution
Answer:
20
Step-by-step explanation:
If you take (2x+5) (2x+5) = 0
then 4x^2 + 20x +25 = 0
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SAS
B.) AA
C.) SSS
D.) Not enough information given
Add, subtract, multiply or divide all for of these numbers to get a result equal or close to 51.
Numbers: 7, 8, 5, 6
You cannot add any new numbers. Please help i've been stuck on this for an hour now. :(
The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence
Answer:
255
Step-by-step explanation:
10n^2+5
where n=5
10×5²+5
10×25+5
250+5
255
The 5th term of Sequence is 255.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
10n² +5
Now for 5th term put n= 5 we get
10n² +5
= 10(5)² +5
= 10 x 25 + 5
= 250+ 5
= 255
hence, the 5th term is 255.
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Which equation is equivalent to 4 - 6(3 - 2x) = 3(x - 4)?
a. 15x= -2 b. 5x=-10 c. 9x=2 d. 15x=2
Answer:
9x=2
Step-by-step explanation:
4 - 6(3 - 2x) = 3(x -4)
4 - 18 + 12x = 3x - 12
12x - 14 = 3x - 12
12x - 3x = 14 - 12
9x = 2
hope you are happy with the answer ;)
PLEASE HELP ASAP PSLLLSLSL look at photo
Answer:
Last one
Step-by-step explanation:
Negative one times 6r is -6r and then that eliminates two of the four. the rest is common sense tbh.... but it is the last one. Hope this helps
the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z’?
Answer: -3 , 3
Step-by-step explanation:
thank me later;)
how much is the arc of a circle if the angle is 70°
Answer:
siriously i dont know cuz im learning this in maths
area
perimeter
arc
Answer:
We also know that the sum of the measures of arcs AD, AB, CD, and BC must be 360 degrees, because there are 360 degrees in a full circle. Because AD = 2AB, we can substitute 2AB for AD. This means the measure of arc AB is 70 degrees, and the measure of arc AD is 2(70) = 140 degrees.
Step-by-step explanation:
hope that helps u
Please help me with this question I will give brainliest.
When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?
Answer:
All you need to remember is the rules
Step-by-step explanation:
Let us remember
a to the m power x a to the nth power is = a to the m+n power. (add the exponents)
And
a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So
14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power
help immediate i will mark you brainliest
Answer:
What's the question?
If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.
Answer:
The equation in slope-intercept form is[tex]y=\frac{5}{2}x-5[/tex]
The equation in the standard form will be:[tex]\frac{5}{2}x-y=5[/tex]
Step-by-step explanation:
The x-intercept is obtained when we set the value y=0As the x-intercept is 2, therefore the point representing
the x-intercept will be: (2, 0)
The y-intercept is obtained when we set the value x=0As the y-intercept is -5, therefore the point representing
the y-intercept will be: (0, -5)
So we get the two points
(2, 0)
(0, -5)
Finding the slope between (2, 0) and (0, -5)
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-0}{0-2}[/tex]
[tex]m=\frac{5}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here m is the slope
substituting the values m = 5/2 and the point (2, 0)
[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]
so writing the equation in slope-intercept form
As we know that the slope-intercept form is
[tex]y=mx+b[/tex]
here
m = gradient or slop b = y-interceptso
[tex]y=\frac{5}{2}\left(x-2\right)[/tex]
[tex]y=\frac{5}{2}x-5[/tex]
Hence, the equation in slope-intercept form is
[tex]y=\frac{5}{2}x-5[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
As we already know the equation in slope-intercept form
[tex]y=\frac{5}{2}x-5[/tex]
so the equation in the standard form will be:
[tex]\frac{5}{2}x-y=5[/tex]
Write an absolute value inequality to represent each situation.
Two friends are hiking in Death Valley National Park. Their elevation ranges
from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie
Point. Let x represent their elevation in feet.
Answer:
║ x - 231 ║ ≤ 459
Step-by-step explanation:
Since we have 228 ft below sea level, this is x' = -228 ft. Also, we have 690 ft above sea level, this is x" = 690 ft.
Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.
To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.
So, ideal value = [690 + (-228)]/2 = 462/2 = 231.
We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 = [690 + 228)]/2 = 918/2 = 459.
Subtracting 231 from each value of the inequality we have
-228 - 231 ≤ x - 231 ≤ 690 - 231
-459 ≤ x - 231 ≤ 459
Since we have in magnitude the values on the left and right side of the inequality,
So ║ x - 231 ║ ≤ 459
6. Consider the inequality 12<-3 (x + 4). Which value of x is part of the solution set of this inequality?
Answer:
-8
Step-by-step explanation:
12<-3 (x + 4)
1. distribute to the -3 to the x and 4 and should get
-3*x = -3x
-3*4 = -12
12< -3x - 12
2. now you get rid of the common factors which is -12 so add 12 to both sides and should get
-12+12=0
12+12=24
24< -3x
3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get
-3x/-3= x
24/-3= -8
-8<x
Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?
Answer:
34650 dollars by next year
Step-by-step explanation:
Answer:
Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50
does anyone know this?
Answer:
1.37×10^9 is in scientific notation
What is the binary number for 12
Step-by-step explanation:
[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]
its past due so plz help me
Answer:
y= 5/8x
Step-by-step explanation:
When it says y is it typically means y=.
When it says 5/8 of a number or of a variable it means that number times that variable.
Hope this helps!
D=
R=
Function?
Find the domain and range of each relation.
Answer:
Try to do it with mth way
77 is 56% of what number
Answer:
137.50
Step-by-step explanation:
please give branliest
Answer:
137.5 I think I might be wrong..
can someone help me answer this question please?
Answer:
A
Step-by-step explanation:
f(x) = (x + 3)(x + 2)(x - 3)
The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18
So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2
which is what you were given.
Now to get the answer
(x - 3)(x + 3) = x^2 - 9
(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)
Evaluate 7 – (-1).
Answer:
8
Step-by-step explanation:
7-(-1)
My teacher said if it looks like this: -(- make it a plus!
so basically 7+1=8
a hemisphere has a volume of 381.7 inches .what is the radius of the hemisphere
Answer:cube root 381.7
Then half it too find the radius.
Step-by-step explanation:
Noah pays $7.65 for a cappuccino on days he's running late to work. One week, he was late on Monday, Wednesday, and Friday. How much did he spend (in $) on cappuccinos that week? $
Answer:
Amount Noah spent on cappuccino for that week = $22.95
Step-by-step explanation:
Noah pays $7.65 for a cappuccino on days he's running late to work
Cost of cappuccino per day = $7.65
One week, he was late on Monday, Wednesday, and Friday.
That is 3 days in a week
How much did he spend (in $) on cappuccinos that week? $
Amount Noah spent on cappuccino = cost of cappuccino per day × 3 days
= $7.65 × 3
= $22.95
Amount spent on cappuccino for that week = $22.95
help? brainliest if i can..
Answer:
C y=2x-6
Step-by-step explanation:
the diffrence in each one is two by using two as slope you get -6 as y intercept.
Answer:
y = 2x - 6 (Third option)
Step-by-step explanation:
(-6, -18), (-1, -8)
m = (-8 - (-18)) / (-1 - (-6))
m = (-8 + 18) / (-1 + 6)
m = 10 / 5
m = 2
-8 = 2(-1) + b
-8 = -2 + b
b = -6
y = 2x - 6
Hope this helps!
Function f gives the temperature, in degrees Celsius, t hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.” Group of answer choices f (1:30) = 20 f (1.5) = 20 f (13:30) = 20 f (13.5) = 20
Answer:
D.
Step-by-step explanation:
The function f gives the temperature in degrees Celsius t hours after midnight.
Therefore, for the temperature at 12:00 AM (exactly midnight), we will have f(0).
For 1:00 AM, 1 hour after midnight, we will have f(1).
And for 12:00 PM (noon), we will have f(12).
We want to find the equation that represents the temperature at 1:30 PM.
1:30 PM is 13.5 hours after midnight or 1.5 hours after noon.
Therefore, the correct statement would be:
f(13.5)=20.
Hence, our answer is D.
Notes:
A and C are not correct because we do not use a colon for function notation. We input numerical values, not time.
Answer:
d
Step-by-step explanation:
what is the density of 9 cm³ gold cube with 450 g in a mass?
Answer:
Answer is 50g/cm^3
Step-by-step explanation:
soln,
Volume of the gold cube = 9 cm^3
Mass of the gold cube = 450 g
now,
density= mass/volume
=450 / 9
=50 g/cm^3
{Therefore, the density of the gold cube is 50 g/cm^3.}