A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?
Answer:
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
Step-by-step explanation:
I bedroom = x
2 bedroom = y
3 bedroom = z
All the condition s gjvbbs'
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
The radius of a circle is 3.8 feet find the diameter
Answer:
7.6
Step-by-step explanation:
radius is half the diameter so multiply 3.8 times 2.
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
y2 +
y +
- 17 woule be the correct answer for the equation being simplified
Answer:
For edge
Step-by-step explanation:
The first one is -3
The second one is -6
The last one is -17
What is the margin of error for a sample statistic for a population with a standard deviation of 6.75?
Answer:
Step-by-Margin of Error = 1.96 x 7.75 = 15.19
step explanation:
i) Margin of Error of a population with a standard deviation of 7.75?
ii) Let us assume a two tailed test with a 95% confidence interval
iii)
iv) therefore Margin of Error = 1.96 7.75 = 15.19
Answer: 13.5
Step-by-step explanation:
There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.
Answer:
5/22 and for the decimal it will be, 0.22727272727273.
Step-by-step explanation:
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.
Answer:
[tex]c = 11[/tex]
Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:
[tex]a = b= 5[/tex]
Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute: [tex]a = b= 5[/tex]
[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]
Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]
[tex]0 < c < 10[/tex]
This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
[tex]c = 11[/tex], since no options are given
 HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer:
Step-by-step explanation:
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
-
b
±
b
2
-
4
(
a
c
)
2
a
Substitute the values
a
=
2
a
=
2
,
b
=
−
6
b
=
-
6
, and
c
=
5
c
=
5
into the quadratic formula and solve for
x
x
.
6
±
√
(
−
6
)
2
−
4
⋅
(
2
⋅
5
)
2
⋅
2
6
±
(
-
6
)
2
-
4
⋅
(
2
⋅
5
)
2
⋅
2
Simplify.
Tap for fewer steps...
Simplify the numerator.
Tap for fewer steps...
Raise
−
6
-
6
to the power of
2
2
.
x
=
6
±
√
36
−
4
⋅
2
⋅
5
2
⋅
2
x
=
6
±
36
-
4
⋅
2
⋅
5
2
⋅
2
Multiply
−
4
-
4
by
2
2
.
x
=
6
±
√
36
−
8
⋅
5
2
⋅
2
x
=
6
±
36
-
8
⋅
5
2
⋅
2
Multiply
−
8
-
8
by
5
5
.
x
=
6
±
√
36
−
40
2
⋅
2
x
=
6
±
36
-
40
2
⋅
2
Subtract
40
40
from
36
36
.
x
=
6
±
√
−
4
2
⋅
2
x
=
6
±
-
4
2
⋅
2
Rewrite
−
4
-
4
as
−
1
(
4
)
-
1
(
4
)
.
x
=
6
±
√
−
1
⋅
4
2
⋅
2
x
=
6
±
-
1
⋅
4
2
⋅
2
Rewrite
√
−
1
(
4
)
-
1
(
4
)
as
√
−
1
⋅
√
4
-
1
⋅
4
.
x
=
6
±
√
−
1
⋅
√
4
2
⋅
2
x
=
6
±
-
1
⋅
4
2
⋅
2
Rewrite
√
−
1
-
1
as
i
i
.
x
=
6
±
i
⋅
√
4
2
⋅
2
x
=
6
±
i
⋅
4
2
⋅
2
Rewrite
4
4
as
2
2
2
2
.
x
=
6
±
i
⋅
√
2
2
2
⋅
2
x
=
6
±
i
⋅
2
2
2
⋅
2
Pull terms out from under the radical, assuming positive real numbers.
x
=
6
±
i
⋅
2
2
⋅
2
x
=
6
±
i
⋅
2
2
⋅
2
Move
2
2
to the left of
i
i
.
x
=
6
±
2
i
2
⋅
2
x
=
6
±
2
i
2
⋅
2
Multiply
2
2
by
2
2
.
x
=
6
±
2
i
4
x
=
6
±
2
i
4
Simplify
6
±
2
i
4
6
±
2
i
4
.
x
=
3
±
i
2
x
=
3
±
i
2
The final answer is the combination of both solutions.
x
=
3
2
+
i
2
,
3
2
−
i
2
x
=
3
2
+
i
2
,
3
2
-
i
2
A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times
exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk
Answer:
approximately 75 times
Answer:
approximately 75 times
Step-by-step explanation:
The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled
using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of
$45 per hour. The plumber works a maximum of 8 hours per day.
For one day of work, what is the range of the function for this situation?
A0
B 80
C 0
D 45 < < 685
Answer:
i have the same question
Step-by-step explanation:
i have the same question
Find the distance between (-1,-2) and (8,9)
Answer:
[tex]\sqrt{202}[/tex] units or 14.2 units (rounded to the nearest tenth)
Step-by-step explanation:
To find the distance between a pair of two points, use the distance formula [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:
[tex]d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}[/tex]
So, as an exact answer, the distance is [tex]\sqrt{202}[/tex] units.
(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)
Answer:
14.2
Step-by-step explanation:
All you need to do is plug the coordinates into the distance formula.
√(x2 - x1)² + (y2 - y1)²
√[8 - (-1)]² + [9 - (-2)]²
√(9)² + (11)²
√81 + 121
√202
= 14.2
If I have the coordinats (4, 3) and (2, 2) what is distance do we get
Answer:
※※※※※※※※※※※※※※※※※
Hi! The answer to your question is [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Use the Distance Formula to determine the distance between two points.
- Brooklynn Deka
❣❣
Find the value of x. Round to the nearest tenth. Assume that segments appearing to be tangents are tangent to the circle.
Answer:
x=8.4Step-by-step explanation:
[tex](2x)^{2} +12.6^{2} =21^{2} \\\\4x^{2} +158.76=441\\\\4x^{2}441-158.76\\\\4x^{2} =282.24\\\\x^{2} =70.56\\\\x=8.4[/tex]
hope it helps....
have a great day :)
Rewrite the sum of 30 and 42 by factoring out of the greatest common factor
Answer:
12
Step-by-step explanation:
Factors of 30: 1,2,3,5,(6),10,15,30
Factors of 42: 1,2,3,(6),7,14,21,42
30 divided by 6, 42 divided by 6
(5) + (7)= 12
I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE
Answer:
Step-by-step explanation:
1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.
2.) 1.07*$450 = $481.50, including sales tax (final price)
3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)
4.) 100-35-45 = 20%
250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.
how many times can 82 go into 401
Answer:
4.89 times
Step-by-step explanation:
I hope this helps :)
Answer:
82 can go into 401 four times.
Step-by-step explanation:
82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.
Abby mixed orange paint by using 3 cups of red paint and 9 cups of yellow paint. Zack made his orange paint by mixing 5 cups of yellow paint and 3 cups of red paint. Are Abby's and Zack's mixes proportional? Explain.
one ticket costs $8. if you have $56, how many tickets can you buy?
please show work if it’s possible!!:)
Answer:
7
Step-by-step explanation:
because 56 divided by 8 = 7
or 7 x 8 = 56
hope this helps?
if its right can i have brainlist?
:')?
Answer:
You can buy 7 tickets
Step-by-step explanation:
56 devided by 8 is 7
The diagram shows the front face of a barn,
The width of the barn is 12 m.
The height of the barn is 8m.
The sides of the barn are both of height 5m.
Work out the area of the front face of the barn.
Answer:
the front face of the barn: 78m^2
Step-by-step explanation:
look at the photo
The area of a 2D form is the amount of space within its perimeter. The area of the front face of the barn is 78 m².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The diagram of the barn can be made as shown below. Therefore, the area of the front face of the barn is,
Area of the barn front = Area of the triangle + Area of the rectangle
= (5 × 12) + (0.5 × 3 × 12)
= 60 m² + 18 m²
= 78 m²
Hence, the area of the front face of the barn is 78 m².
Learn more about the Area:
https://brainly.com/question/1631786
#SPJ2
joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP
Answer:
If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.
Step-by-step explanation:
By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.
5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
What is the probability of getting a number less than 19? (whole percentage)
%
Answer:
1 out of a 50% chance
Step-by-step explanation:
hope it helps
Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=
Answer:
y = 5x - 40
Step-by-step explanation:
The function rule can be written in slope-intercept form, y = mx + b.
Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.
✔️Slope (m) = change in y / change in x
Using two pair of values from the table, (10, 10) and (12, 20),
Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5
Slope (m) = 5
✔️ y-intercept (b):
Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.
Thus:
10 = 5(10) + b
10 = 50 + b
10 - 50 = b
b = -40
✔️Write the function by substituting m = 5 and b = -40 into y = mx + b
Thus:
y = 5x + (-40)
y = 5x - 40
Help me with Math
( graphs )
PLEASEEE
plz help thank u so much.
Answer:
Q.1 area of triangle =1/2×base×height
area oftriangle=1/2×21 feet×16 feet
area of triangle =168feet²
Q.2 A=1/2×base×height
Q.3 area of triangle =1/2× base×height
35feet² =1/2×10feet× h
35 feet² =5 feet×h
35feet²/5 feet = h
7feet = h
Q.4 area of triangle =1/2×base×height
area of triangle =1/2×32×22
area of triangle =352 feet²
can u help me find the surface area for my work
Answer:
258
Step-by-step explanation:
There is a triangle and a parallelogram.
The triangle's area: 1/2 bh is 30
The parallelogram bh is 12*19
add them up and it is 258.
Can you follow me on Brainly?
Thanks!
Answer:
744; 1,206
Step-by-step explanation:
Prism 1:
2(19*13) + 5*12 + 2(5*19)
Multiply all the sides.
494 + 60 + 190 = 744
Prism 2:
2(20*9) + 2(18*20) + 9*14
360 + 720 + 126 = 1,206
Hope this helps (:
thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.
Step-by-step explanation:
Use the method of TOA CAH SOH.
[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]
[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]
Perimeter of triangle = Sum of all sides =
[tex]u \: + \: v + 4[/tex]
Answer:
use right angeled triangle method.
if y varies inversely as x, and y =35 when x =14, find x when y =15.
Answer:
[tex]x = 32 \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k first.
When y= 35, x= 14,
[tex]35 = \frac{k}{14} [/tex]
k= 14(35)
k= 490
Substitute the value of k into the equation:
[tex]y = \frac{490}{x} [/tex]
When y= 15,
[tex]15 = \frac{490}{x} [/tex]
15x= 490
x= 490 ÷15
[tex]x = 32 \frac{2}{3} [/tex]
As the economic prosperity of the 1990s decreased, what changes would one expect in the design of houses?
Answer:
immagrants would start to make houses out of stone sticks and hay
Step-by-step explanation:
pls mark brainlyest
Answer:
They don't like the look or it doesn't fit the style of their home. I could argue back and say that if they at least look at all the options, they might change their mind. Also, people are making new Eco-friendly products that might fit their house style every day
Step-by-step explanation:
Which equation shows a quadratic function where the vertex is at the origin?
a. y = –4x
2 + 4
b. y = 4x
2
c. y = 4x
2 + 4
d. y = −4x
2 + 4x – 1
Answer:
B. y = 4x
2 + 4
Step-by-step explanation:
sana nakatulong
Sam went to the store to buy some supplies for school. He bought a binder that cost $6.50 and packages of filler paper that cost $1.25 each. If Sam spent a total of $11.50, how many packages of filler paper did he buy? LET p = the number of packages of filler paper
Answer:
4 packages
Step-by-step explanation:
Hi,
1.25x + 6.50 = 11.50
1.25x = 5
x = 4
He bought 4 packages.
I hope this helps :)
please show your work.
Answer:
1. 8.19, 2. 25.96, 3. 3.95
Step-by-step explanation:
use soh cah toa
1. cos is adjacent/hypotenuse
cos73=x/28
multiply both sides by 28
28cos73=x=8.186
2. sin is opposite over hypotenuse
sin68=x/28
multiply both sides by 28
28sin68=x=25.961
3. sin is opposite over hypotenuse
sin26=x/9
myltiply both sides by 9
9sin26=x=3.945