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Mariana [72]
3 years ago
10

A total of 192 units is planned, and the number of family units (2 and 3 bedroom townhouses) will equal to the number of 1 bedro

om units. If the number of 1 bedroom units will be 3 times the number of 3 bedroom units, find how many units of each type will be in the complex.
Mathematics
1 answer:
algol133 years ago
3 0

Answer:

96 one bedroom homes

64 two bedroom homes

32 three bedroom homes

Step-by-step explanation:

If x is the number of 1 bedroom homes, y is the number of 2 bedroom homes, and z is the number of 3 bedroom homes:

x + y + z = 192

x = y + z

x = 3z

Solve the system of equations using substitution or elimination.  Using substitution:

x + x = 192

2x = 192

x = 96

z = x / 3

z = 32

y = x − z

y = 64

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Given the domain {-2, 1, 5}, what is the range for the relation 4x + y = 3?
steposvetlana [31]

Answer:

Step-by-step explanation:

Domain is the set of all possible inputs (x) for the function f(x)

The range is the set of all possible values for that domain

This function is 4x + y = 3 which can be re-written as y = 3-4x

Plug in each of the domain values and you will get the range

For -2 : y = 3-4(-2) = 3 + 8 = 11

For 1:  y = 3-4(1) = -1

For 5: y = 3-4(5) = -17

So range is {-17, -1, 11}  

6 0
1 year ago
Can someone pls help me with this question ​
jeyben [28]

Answer:

I'll find X for you; the next step is by you.

Step-by-step explanation:

we have two similar pentagons

I will do it in 2 ways.

1.

=> 48/4x = (x+2)/x

=> 12/x = (x+2)/x

Because of pentagons so x > 0

=> 12 = x + 2 => x = 10

2.

k is unknown number

=> 4x = k.x and 48 = k.(x + 2) (x > 0)

=> k = 4 and 48 = 4.(x + 2)

=> 12 = x + 2 => x = 10

7 0
2 years ago
−−→ LO bisects ∠ NLM , LM = 18 , NO = 4 , and LN = 10 . LO → bisects ∠ NLM , LM = 18 , NO = 4 , and LN = 10 . What is the value
Sindrei [870]

Answer:

7.2

Step-by-step explanation:

Given that in triangle LMN, LO is angle bisector of angle L.

LN =10 and LM =18

By angle bisector theorem for triangles we have

LN/LM = NO/MO

Substitute the values for known things and x for MO

We get

10/18 = 4/x

Or cross multiply to get

10x=72

x=7.2

So answer is 7.2

3 0
3 years ago
Sam solved the following problem:
Talja [164]

Answer:

 Sam made it -24 versus 24  (29-5=24  not -24)

(Sam failed to flip the inequality)

Step-by-step explanation:

-4x + 5 > 29

Subtract 5 from each side

-4x+5-5 > 29-5

-4x > 24      Sam made it -24 versus 24  (29-5=24  not -24)

Divide by -4  Remember to flip the inequality

-4x/-4 < 24/-4   (Sam failed to flip the inequality)

x < -6

7 0
3 years ago
Read 2 more answers
Help please I need help
Eddi Din [679]

Answer:

x = 5/13

Step-by-step explanation:

x+\dfrac{2}{13}=\dfrac{7}{13}\\\\ x+\dfrac{2}{13}-\dfrac{2}{13}=\dfrac{7}{13}-\dfrac{2}{13}\\\\x+0=\dfrac{7-2}{13}\\\\\boxed{x=\dfrac{5}{13}=0.38462}

7 0
3 years ago
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