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3 years ago

Solve these equations |x+1/2|= 3 |x-3|=5 6/7 |3x+7|=5

Mathematics

1 answer:

just olya [345]3 years ago

6 0

The First one is: x = 5/2 or x = -7/2

The Second one is: x = 62/7 or x = -20/7

The Third one is: x = -2/3 or x = -4

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A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 3 pounds of trail mix, the total is $18.

topjm [15]

Answer: each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2

Step-by-step explanation:

j = jellybeans

t = trail mix

2j + 5t = 13

8j + 3t = 18

To solve this, we want to isolate a variable, and solve for the other. Let's do that with each equation.

2j + 5t = 13

2j = 13 - 5t

j = (13 - 5t) / 2

8j + 3t = 18

8j = 18 - 3t

j = (18 - 3t) / 8

Now that we have isolated the variable j in each equation, we can set the two right-sides equal to each other, and solve for t.

(13 - 5t) / 2 = (18 - 3t) / 8

By multiplying both sides by 8, this becomes simpler to look at.

8 * (13 - 5t) / 2 = 18 - 3t

4 * (13 - 5t) = 18 - 3t

4 * 13 - 4 * 5t = 18 - 3t

52 - 20t = 18 - 3t

52 = 18 + 17t

34 = 17t

34 / 17 = t

t = 2

Now that we have solved for t, we can trivially plug it into one of the other equations to solve for j. Let's choose the first equation, as it doesn't matter which we choose.

t = 2

2j + 5t = 13

2j + 5 * 2 = 13

2j + 10 = 13

2j = 13 - 10

2j = 3

j = 1.5

So, each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2.

6 0

2 years ago

What is the length of the hypotenuse of a right triangle with legs of length 6 and 4 ?

liberstina [14]

Answer:

6²+4²=h²

36+16=h²

$\sqrt{52} = h \: \: \: \: \: \\ hyphotenuse \: is \: 2 \sqrt{13 \:} \\ or \: 7.2111$

6 0

3 years ago

Which expressions are equivalent?

trapecia [35]

Only 3(a−b) and 3a−3b are equivalent

Further explanation:

We have to evaluate each expression to evaluate if the expressions are equivalent or not.

So,

$3(a-b)\\Distributing\ 3\ in\ bracket\\3.a-3.b\\=3a-3b$

As we can see that 3(a-b) results in 3a-3b so these are equivalent

$2a(2+b)\\Distributing\ 2a\\2a.2+2a.b\\=4a+2ab$

As we can see that 2a(2+b) doesn't result in 4ab so these are not equivalent

Hence,

Only 3(a−b) and 3a−3b are equivalent

Keywords: Equivalent expression, Polynomials

Learn more about polynomials at:

#LearnwithBrainly

3 0

3 years ago

John is interested in purchasing a multi-office building containing five offices. The current owner provides the following proba

Elenna [48]

Answer:

Option B.

Step-by-step explanation:

The given table is:

Number of Lease Offices : 0 1 2 3 4 5

Probability : 5/18 1/4 1/9 1/18 2/9 1/12

The expected probability is

Expected probability = $\sum_{i=0}^5 x_{i}p(x_i)$

Expected probability = $0p(0)+1P(1)+2P(2)+3P(3)+4P(4)+5P(5)$

Expected probability = $0\cdot (\frac{5}{18})+1\cdot (\frac{1}{4})+2\cdot (\frac{1}{9})+3\cdot (\frac{1}{18})+4\cdot (\frac{2}{9})+5\cdot (\frac{1}{12})=\frac{35}{18}$

It is given that the yearly lease = $12,000.

The yearly leases for the whole building in a given year is

Yearly leases = $\frac{35}{18}\times 12000=23333.3333333\approx 23333.33$

Therefore, the correct option is B.

3 0

3 years ago

Helppp plsssss someone D:

zimovet [89]

〽Hola User_______________

⭐Here is Your Answer..!!!

______________________

↪Cartesian Coordinates of the system....!!

↪X = rcos⊙ and Y = rsin⊙

↪since here Radius (r) = 10 units and Theta (⊙) = 225°

↪there fore substituting we get as ..

↪X = 10 ( cos 225° ) = 10 * -1/ root 2 = -7.071

↪Y = 10 ( sin 225° ) = 10 * -1/root2 = = -7.071

↪the cordinates are as follows

↪(x,y) = (-7.071, -7.071 )

4 0

3 years ago