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
a(-3)=5 What will a equal
Answer:
a = - 5/3
Step-by-step explanation:
10 points
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?
Answer:
135
Step-by-step explanation:
27 x 5 =135
PLEASE HELPPPP !! Which points have positive y coordinates?
A) A and F
B) A and B
C) F and H
D) B and F
HELP ME please please please
Answer:
d.
took the test
Step-by-step explanation:
Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.
Step-by-step explanation:
(a○b)(x) is the same as a(b(x)).
it is really that simple.
first you calculate the result of the inner function, and then that result is the input for the outer function.
that's it.
so,
(w○u)(2) = w(u(2))
u(2) = -2 -1 = -3
w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19
so, 19 is the first answer.
(u○w)(2) = u(w(2))
w(2) = 2×2² + 1 = 2×4 + 1 = 9
u(9) = -9 - 1 = -10
so, -10 is the second answer.
Type the missing digit in this number
7,587_64 is divisible by 8.
Answer:
The numbers can be 2,4,6,8,0
Step-by-step explanation:
Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.
Hoped this helped.
A phone company charges $25.00 a month for 500 minutes.
Every minute over 500 cost $0.75. If a customer uses 530
minutes how much will their monthly bill amount to?
Answer:
$47.50
Step-by-step explanation:
75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50
Please see screenshot.
Could someone help?
Answer:
56/100
Step-by-step explanation:
The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.
Solve for x
x+0.15x=3.45
Answer:
thanks for the points new comer you will get use to it
PLEASE HELP ME FAST IF YOU CAN
Answer:
1. 180°
2. m∠AOB
3. 60° + 90 ° + 30 ° = 180 °
4. x = 15
Step-by-step explanation:
Reason for number 1:
All straight lines are 180°
Reason for number 2:
These angles all add up to 180° and the line with this angle is m∠AOB.
Which equation has the same solution as x^2+16x+13 = 0
A) (x+8) ^2 = -77
B) (x-8) ^2 = 51
C) (x-8) ^2 = -77
D) (x+8) ^2 = 51
[tex]x^2 +16x +13 =0\\\\\implies x^2 + 2 \cdot 8 \cdot x + 8^2 -8^2 +13 =0\\\\\implies (x+8)^2 -64 +13 =0\\\\\implies (x+8)^2 -51 =0\\\\\implies (x+8)^2 =51[/tex]
A farmer harvests 850kg of parsnips.30% go to the local market and 50% go to a local supermarket.What mass of parsnips are left?
Answer:
170 kg. of parsnips are left
Step-by-step explanation:
Given:
850 kg. of parsnips
30 % to the local market
50 % to a local supermarket
Solution:
First, add the two percentages.
30 + 50 = 80%
That means 80 % of parsnips mass go to the markets.
Now let's find the mass of delivered parsnips.
Change 80% to decimal form.
80% = 0.8
Now multiply it by 850 kg.
850 x 0.8 = 680
The delivered parsnips mass is 680 kg.
Now to find the mass of parsnips left, subtract 680 to 850
850 - 680 = 170 kg.
170kg. of parsnips are left.
you eat 3/10 of a packet
of donuts. your friend eats 1/5 of
the pack of donuts. How much of
the pack do you and your friend
eat?
Answer:
5/10 or 1/2 is the answer I think
help me please
A
B
C
D
E
F
Answer:
F because you cannot prove that any of the angles are the same with only one set of parallel lines
PLS HELP AMSWER ANYONE PLS ILL GIVE BRAINLKEST THANKS
Answer:
5. w ≠ 8
Step-by-step explanation:
#1 is the expression for "The amount of water is greater than eight ounces." This technically means it differs from eight ounces, but it's too specific for what the question is asking.
#2 is the expression for "The amount of water is greater than or equal to eight ounces." It doesn't necessarily differ from eight ounces.
#3 is the expression for "The amount of water is less than eight ounces." Same issue as #1.
#4 is the expression for "The amount of water is greater than eight ounces." Same issue as #2.
#5 is the expression for "The amount of water is not equal to eight ounces." This is the correct expression as the only information we know is that it's not eight ounces.
fill in the blank to make the fractions equivalent. 1/2 ?/10
Answer:
5/10
Step-by-step explanation:
1/2 = 2/4 = 3/6 = 4/8 = 5/10
5/10
Answer:
5
Step-by-step explanation
multiply numerator and denominator with constant. 2*5 is 10, so 1*5=5, hence, 5/10
[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly
Find the value for x
15 points for you plus brainliest, 5 star and thanks on answer and profile
Answer:
117 units
Step-by-step explanation:
Use the distributive property to write an expression that is equivalent to 8 + 24x
Answer:
8(3x + 1)
Step-by-step explanation:
8 and 24 are multiples of 8
(8/8) + (24x/8) = 1 + 3x
The equation with distributive property is 8(1 + 3x)
-Chetan K
every summand of an expression is called a???
Answer:
I think it's called a term.
Hope this helps :)
I really need help again any boady that can help that would be awsome I just need to know. Which goes to which Thankyou for the help
Answer:
1.A
2.D
3.B
4.C
5.D
6.A
7.C
8.C
9.D
Step-by-step explanation:
(2/3)³×(-3/4)²×(-1)²⁰⁰³
(2/5)²×(-5/12)³
Answer:
Step-by-step explanation:
[tex](-1)^{n} = -1 , if \ n \ is \ a \ odd \ integer\\\\\\\\(-1)^{2003} =-1 \\\\(\dfrac{-3}{4)}^{2}=\dfrac{3}{4}, \ as \ 2 \ is \ even \ number.\\\\(\dfrac{2}{3})^{3}*(\dfrac{-3}{4})^{2}*(-1)^{2003}=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{4^{2}}*(-1)\\\\\\=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{2^{4}}*(-1)\\\\\\=\dfrac{-1}{3^{3-2}*2^{4-3}}\\\\\\=\dfrac{-1}{3^{1}*2^{1}}\\\\=\dfrac{-1}{6}[/tex]
[tex](\dfrac{2}{5})^{2}*(\dfrac{-5}{12})^{3}=\dfrac{2^{2}}{5^{2}}*\dfrac{(-5)^{3}}{(2^{2}*3)^{3}}\\\\\\=\dfrac{2^{2}}{5^{2}}*\dfrac{- 5^{3}}{2^{6}*3^{3}}\\\\\\= -\dfrac{5^{3-2}}{2^{6-2}*3^{3}}\\\\\\= -\dfrac{5}{2^{4}3^{3}}\\\\= -\dfrac{5}{16*3}\\\\\\= \dfrac{-5}{48}[/tex][tex]HINT: \dfrac{a^{m}}{a^{n}}=a^{m-n}, m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}}, n >m\\\\\\(a^{m})^{n}=a^{m*n}[/tex]
rearranging formulae y=4x+3
Step-by-step explanation:
y = 4x + 3
subtract 3 on both sides of equation
y - 3 = 4x + 3 - 3
y - 3 = 4x
divide the equation by 4 on both sides
\frac{y - 3}{4} = \frac{4x}{4}4y−3=44x
x = \frac{y - 3}{4}4y−3
DONE.
A class is collecting aluminum cans. Every Monday each student brings in a bag with 10 cans. They put 10 bags into a box. How many boxes do they need to hold 1000 cans
Answer:
the answer is 100.
Step-by-step explanation:
divide 1000 by 10
The number of boxes required to hold 1000 cans is 100 bags.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, every Monday each student brings in a bag with 10 cans.
They put 10 bags into a box.
So, number of boxes required to hold 1000 cans
= 1000/10
= 100 bags
Therefore, the number of boxes required to hold 1000 cans is 100 bags.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
What is Integration ?
Answer:
Integration is the act of bringing together smaller components into a single system that functions as one. These links usually are established between the components of the process and control layer of each system to promote the free flow of data across systems.
Answer:
Integration is the action or process of integrating.
Step-by-step explanation:
A book of 20 stamps costs $10.20. What is the cost of one postage stamp? A stamp costs cents.
Answer:
1 stamp = $0.51
Step-by-step explanation:
20 stamps = $10.20
=> 1 stamp = 10.20/20
=> 1 stamp = $0.51
Hoped this helped.
The profit P in dollars, gained by selling x computers is modeled by p = -5x²+1000x+5000. How many computers must be sold to obtain a profit of 55,000,00
Answer:
[tex]p = - 5 {x}^{2} + 1000x + 5000 \\ 5500000 = - 5 {x}^{2} + 1000x + 5000 \\[/tex]
solve for x
Step-by-step explanation:
55,000,00=-5x²+1000x+5000
collect like terms
5x²-1000x= -55,000,00+5000
5x²-1000x = -45000
x²=-45000/5=-9000
x²=square root of 9000=3000
recall
5x²-1000x=3000
-1000x=3000
divide both side by coefficient of x
x= -3
[tex]\left \{ {{y=2} \atop {x=2}} \right. x_{123}[/tex]
Answer:
if a joke i dont know
If 5mi ≈ 8km, how many miles would be equal to 50 km
Answer:
Too tired to go into detail so I just showed steps
Step-by-step explanation:
5mi = 8km ~~ Original
5/8mi = 1km ~~ Get 1km isolated
250/8mi = 50km ~~ Get 50km now
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation: