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Lostsunrise [7]
3 years ago
10

Elaine is 8 years younger than her brother Tyler. The sum of their ages is 34. Define a variable and then write and solve an equ

ation to find Elaine’s and Tyler’s ages.
Mathematics
1 answer:
Damm [24]3 years ago
6 0

Answer: Elaine=13 years old Tyler=21 years old

Step-by-step explanation:

Let x = Elaine's age, so her brother Tyler's age = x+8

 Elaine+Tyler=34

          x+(x+8)=34

             2x+8=34

                 2x=26

                   x=13

Elaine=13 years old

Tyler=21 years old

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What is the value of p in the linear equation 24p + 12 – 18p = 10 + 2p – 6?
stira [4]

we have

24p+12-18p=10+2p-6

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24p-18p-2p=10-6-12

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therefore

<u>the answer is</u>

the value of p in the linear equation  is -2

6 0
3 years ago
Read 2 more answers
The figure the Floor Plan of a balcony ,it consists of △ABC and semi-circle ,
ivanzaharov [21]

Step-by-step explanation:

(a) In right triangle ABC,

AC^2 =AB^2 +BC^2  \\  =  {12}^{2} +  {5}^{2}   \\  = 144 + 25 \\  = 169 \\  AC =  \sqrt{169}  \\  \therefore \: AC =  13\: m \\  \\ AC \: is \: the \: diameter \: of \: semicircle \\  \therefore \: r =  \frac{1}{2} \times  AC = \frac{1}{2} \times 13 = 6.5 \: m \\  Circumference \:of \:semi-circle \\ C = \pi \: r = 3.14 \times 6.5 = 20.41 \:m\:

Perimeter of Balcony = 12 + 5 + 20.41 = 37.41 m

(b) Area of balcony

=\frac{1}{2}\times 12\times 5+\frac{1}{2} \pi r^2 \\\\=\times 6\times 5+\frac{1}{2} \times 3.14\times (6.5)^2 \\\\=30+\frac{1}{2} \times 3.14\times42.25\\\\= 30+\frac{1}{2} \times 132.665\\\\= 30 + 66.3325\\\\= 96.3325 \:m^2 \\\\\approx 96. 33\:m^2

8 0
3 years ago
Determine the function that represents the relationship.
soldier1979 [14.2K]

Answer:

Option B

Step-by-step explanation:

To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,

y = 8x

If we insert x = 0 we get,

y = 8(0)

y=0

but in the table it says we get 14 so option A is incorrect

Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,

y=8x+14\\y=8(0)+14\\y= 14\\\\y=8x+14\\y=8(1)+14\\y=8+14\\y=22\\\\y=8x+14\\y=8(2)+14\\y=16+14\\y=30\\

and so on so Option B is the answer

8 0
2 years ago
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kolbaska11 [484]

Answer: it might be 8

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I hope its right

7 0
2 years ago
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