Using a system of equations, it is found that there are:
132 rooms.38 bathrooms.26 fireplaces.3 elevators.For the system, we have that:
The number of rooms is x.The number of bathrooms is y.The number of fireplaces is z.The number of elevators is w.Combined, there are 199 rooms, hence:
[tex]x + y + z + w = 199[/tex]
The number of rooms exceeds the number of bathrooms and fireplaces by 68, hence:
[tex]x = y + z + 68[/tex]
The difference between the number of fireplaces and elevators is 23, hence:
[tex]z - w = 23[/tex]
If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47, hence:
[tex]2y = z + w + 47[/tex]
Replacing the third equation into the fourth:
[tex]z = 23 + w[/tex]
[tex]2y = z + w + 47[/tex]
[tex]2y = 23 + w + w + 47[/tex]
[tex]2y = 2w + 70[/tex]
[tex]y = w + 35[/tex]
Then, from the second equation:
[tex]x = y + z + 68[/tex]
[tex]y + z = x - 68[/tex]
We can solve for w, considering that:
[tex]y = w + 35[/tex]
[tex]z = 23 + w[/tex]
[tex]y + z = x - 68[/tex]
[tex]x = y + z + 68[/tex]
[tex]x = w + 35 + w + 23 + 68[/tex]
[tex]x = 2w + 126[/tex]
[tex]x + y + z + w = 199[/tex]
[tex]2w + 126 + w + 35 + 23 + w + w = 199[/tex]
[tex]5w + 184 = 199[/tex]
[tex]5w = 15[/tex]
[tex]w = \frac{15}{5}[/tex]
[tex]w = 3[/tex]
Then, solving for the other variables:
[tex]x = 2w + 126 = 2(3) + 126 = 132[/tex]
[tex]y = w + 35 = 3 + 35 = 38[/tex]
[tex]z = 23 + w = 23 + 3 = 26[/tex]
There are:
132 rooms.38 bathrooms.26 fireplaces.3 elevators.A similar problem is given at https://brainly.com/question/17096268
Find zeroes of quadratic polynomial p(x) = x2 -3x - 4.
Here is ur answer
- BRAINLIEST answerer
5 4/6-4 2/3 ÷ 3 2/3?
Answer:
145/33
Step-by-step explanation:
Assuming what you wrote was mixed fractions, this is how to do the question.
Do the division first and then subtract that from 5 4/6/
A snail moves through a garden and travles 1 1/8 meters in 1 1/2 minutes. What is the snail's rate in minutes per meter? Show your work
Answer:
4/3mpm
Step-by-step explanation:
(1 1/2)/(1 1/8)
convert to improper fraction
(3/2)/(9/8)
solve
1/(3/4)
4/3
find the slope of the line, given the points (0,2) and (3.6,2) show all your work
Answer:
There is no slope because the slope is zero. The line has no slope because it's a vertical line.
Step-by-step explanation:
Slope = [tex]\frac{2-2}{3.6-0} = \frac{0}{3.6} =0[/tex]
Slope = 0
The line has no slope.
Help Please. It's 10:11 AM right now. This due by 12 PM or in 2 more hours. I don't know this.
Answer:
B) 2,000.
Step-by-step explanation:
As the mean is 6000 the total number of students = 5*6000
= 30,000.
If graduates are excluded we have 4*7000 = 28,000 students.
So the number at graduate level
= 30,000 - 28,000
= 2,000.
The bakery decides to
make only 100 corn muffins on Tuesday. How many
kilograms of sugar will be needed?
Answer:
we need to know how many kilograms are in each corn muffin to answer that queastion
Step-by-step explanation:
we need to know how many kilograms are in each corn muffin to answer that queastion
what is the value of x + y?
Answer:
55°
Step-by-step explanation:
180°-70°=110° (sum of angles on a straight line gives 180°
The size of each of the four remaining angles=110°/4 = 27.5°
<X + <Y = 27.5° + 27.5°=55°
Help ME ASAP
Zach solved the problem 124.8 / 24 = 5. Complete the following model with partial products to check Zach’s work with multiplication.
Part A
Drag values to the boxes to complete the partial products. Not all choices will be used.
{ 0.4 }
{ 0.8 }
{ 2 }
{ 4 }
{ 8 }
{ 10 }
{ 20 }
{ 100 }
The product for A=
The product for B =
The product for C =
The product for D =
Part B
Choose the words to complete the statement
Zach's work is ______
because the total of the partial products is _______ as the dividend.
The partial products in Zach's work are the result of multiplying each digit
in turn based on their place values.
The given problem is [tex]\dfrac{124.8}{24} = 5[/tex]
Part A
The values to be placed in the boxes are presented as follows;
[tex]\begin{array}{|c|c|c|}&5&0.2\\&&\\20&\underline{100}&\underline{4}\\&&\\4&\underline{20}&\underline{0.8}\end{array}\right][/tex]
The total of the partial product is 100 + 20 + 4 + 0.8 = 124.8 = The dividend
Part B
The completed statement is; Zach's work is correct because the total of
the partial product is the same as the dividend.
Learn more here:
https://brainly.com/question/18613539
An envelope is 6 in. wide and 4 in. high. Will a card with an 8 in. diagonal fit in it? Identify the correct explanation.
A) Because 7.2 < 8, it is possible that the card fits in the envelope.
B) Because 8.9 > 8, it is possible that the card fits in the envelope.
C) Because 7.2 < 8, it is NOT possible that the card fits in the envelope.
D) Because 8.9 > 8, it is NOT possible that the card fits in the envelope.
I need help with this please! It’s due tonight and I don’t know.
Answer:
b
Step-by-step explanation:
A polygon undergoes a combined transformation of T3.2) (Ro, 90). The vertex (5,2) of the polygon maps to what final image?
А
(-4,8)
B.
(-2,5)
С
(1,7)
D
(5.-3)
The final image of the vertex of the polygon after a translation and rotation would be (- 4, 8).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The preimage of the vertex of a polygon is, (5, 2).
Now, After a transformation of T(3, 2) the image of the vertex of the polygon would be, (5 + 3, 2 + 2) ⇒ (8, 4).
Now, Another transformation is the rotation of 90° (counterclockwise as it is positive).
We know a rotation of 90° counterclockwise to (x, y) becomes (- y, x).
Therefore, The vertex of the polygon will be at (- 4, 8).
learn more about transformations here :
https://brainly.com/question/11709244
#SPJ2
A scale drawing of an elephant shows the animal as 6 inches high and
10.8 inches long. The scale used for the drawing was 3 in..5 ft.
What are the height and length of the actual elephant?
Height:
feet
Length:
feet
Step-by-step explanation:
3 in to 5 ft
so, one basic unit in the drawing is in fact 3 inches.
how many base units fit into the numbers ? these factors need then to be multiplied with the base units of 5 ft for reality.
6 inches high
6 / 3 = 2
so, the elephant is 2 units high, which means in reality 2×5 = 10 ft high.
10.8 inches long
10.8 / 3 = 3.6
so, the elephant is 3.6 units long, which means in reality 3.6×5 = 18 ft long.
which of the following is an example of a polynomial equation?
Write an equation for the line in the given form.
Contains the points (5, 2) and (8, 11); slope-intercept form
Answer:
y = 3x-13
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= ( 11-2)/(8-5)
= 9/3
=3
Then using slope intercept form
y= mx+b
Using one of the points and the slope
2 = 3(5) +b
2 = 15 +b
2-15 = b
-13 =b
y = 3x-13
what is the desimal for
Answer:
A decimal is used to identify a unit of measure with precision because not all whole numbers cannot represent a unit of measure in a respective situation.
Answer:
Decimals are used to express the whole number and fraction together.
Step-by-step explanation:
T
Зл
Solve for the interval <<
2
2
3. 2 cos? 0-5 cos e = 3
(it put it in wrong so i put a picture of the question)
Answer:
540 g m/s.
Step-by-step explanation:
Choc-Arcade has Miguel's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Miguel with free game tokens every time he buys chocolates. He gets 4 free game tokens for each chocolate he buys. There is a proportional relationship between the number of chocolates Miguel buys, x, and the number of free game tokens he gets, y.
Answer:
x : 4y
Step-by-step explanation:
For every one chocolate he buys, he gains 4 free game tokens
1. Two angles added together to produce 90 degrees a) Supplementary b) Complementary c) Right od) Vertical
Answer: B: complementary
Step-by-step explanation: :)
What is 968.1 as a fraction
I believe it is 9681/10.
Answer:
the answer is 9681/10
Step-by-step explanation:
9681/10
what is the answer to this question it is called (Solve Linear System Graphically (Lev. 1)
x≥ 0 , everthing to the right of the y-axis
y≥ 0 , everthing above the x-axis
So far you are in quadrant I of the x-y plane
y ≤ 3 , everthing from the above, but also below the horizontal line y = 3
lastly y ≤ -x + 5
sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line
My diagram has a simple trapezoid consisting of a
rectangle with a right-angled triangle attached
now our Objective Function is
C = -5x + 3y , which is a line with slope 5/3
letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.
On my diagram that looks like (5,0)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7
Answer:
The answer is B final answer becuase its all positive.
PLEASE HELP!
Use a compass and straightedge to complete the following construction Leave all construction marks. Having a sharpened pencil will allow for more precise arcs. Make sure that your construction marks are dark enough to see.
Construct a perpendicular line to the given line through the point on the line.
link to the plot: https://www.mathopenref.com/constperplinepoint.html
Answer:
draw a line straight down through p
Solve by substitution. x=y-9,5x+2y=11
We have two equations :
x=y-9
5x+2y = 11
We just have to plug the value of x in the second equation to find y :
5(y-9) + 2y = 11
5y - 45 + 2y = 11
7y - 45 = 11
7y = 11 + 45
7y = 56
y = 56/7 = 8
Finally, since x = y -9
x = 8-9 = -1
Good Luck
Answer:
X = -1 Y = 8
try downloading mathaway it might help with these problem types
what´s the answer to this?
Step-by-step explanation:
it is a linear function, if the increases in y are constant from point (ordered pair of x and y) to point reissue to the increase in x.
the first table (top left) increases x constantly by 1.
but y increases first by 2 and then by 3 and then again by 3.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
the second table (top right) increases x constantly by 2.
and y increases constantly by 2.
this is constant also in relation to x.
in technical terms : the slope of the function is the same for every point of the function.
in other words : it is a straight line all the way.
so, it is a linear function.
the third table (bottom left) increases x constantly by 1.
but y increases first by 4 and then by 1 and then again by 1.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
the fourth table (bottom right) increases x constantly by 2.
but y increases first by 2 and then by 3 and then again by 3.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
0.35 is best classified as a ________ number.
Fill the blank
why this stuff hard
Answer:
rational number (might be wrong)
Write an equation of the line in slope-intercept form.
Answer:
Step-by-step explanation:
Y=1/2x+3
Please help me with this MATH question.
Answer:
y=4
Step-by-step explanation:
84=30y-9y, first you collect like terms.
84=21y, swap the sides
21y=84, devide both sides and you get y =4
Which proportion is not true?
A) BC/CD=FG/GH
B) AC/CD=EG/GH
C) BD/FH =AD/EH
D) AB/AE=EF/BF
Answer:
c I think that is the answer
Samir's sister goes for kathak dance lessons on Tuesday ,Thursday and Saturday every week .If each lesson lasts 50 minutes ,how much time did he practice dance at her class in 3 weeks?
Answer:
450 minutes or 7.5hours
Step-by-step explanation:
for 1 week = 50 *3 (min)
=150 minutes
for 3 weeks = 150* 3(min )
=450 minutes
Which of the following statements are true regarding functions?
(Check all that apply)
A) The vertical line test may be used to determine whether a function is one-to-one
B) A function is a relation in which each value of the input variable is paired with exactly one value of the output variable
C) A sequence is a function whose domain is the set of real numbers
D) The horizontal line test may be used to determine whether a function is one-to-one
Answer:
d
Step-by-step explanation:
po ang tamang sagon po
Step-by-step explanation:
A, B are right.
when checking that each x value has exactly one y value (B - that is the definition of a function), we need vertical lines to see that every vertical line has only one crossing point. A.
it is not C, because per definition a sequence is a function with the domain of natural numbers (or whole numbers incl. 0), and the range is the real numbers.
in other words, it is a numbered list of real numbers.
and it is definitely NOT D !
see A and B.