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nevsk [136]
3 years ago
9

Please help Simplify these expressions

Mathematics
1 answer:
dsp733 years ago
3 0

Answers:

a) 44+3x

b) x+32

c) 2(y-4)

d) x

Step-by-step explanation:

We have the following expressions and we have to simplify them:

a) 7^{2}+2^{2}-5-4+3x

Solving the terms with exponents:

49+4-5-4+3x

Grouping similar terms:

44+3x

b) x+32+4-2^{2}

Solving the term with exponent:

x+32+4-4

Operating with algebraic sum:

x+32

c) -y-5+y+2(2y-y)-3

Solving inside the parenthesis:

-y-5+y+2(y)-3

Grouping similar terms:

2y-8

Applying common factor 2:

2(y-4)

d) 5x-3-x+3(x+1^{2})

Solving inside the parenthesis:

5x-3-x+3(x+1)

Operating with distributive property:

5x-3-x+3x+3

Grouping similar terms:

x

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The school bus drove five more than twice as many miles in the afternoon as in morning. If the whole trip was 125 , how many mil
Elza [17]

Answer:

85

Step-by-step explanation:

x+2x+5=125

3x+5=125

3x=120

x=40 in the morning

85 in the afternoon

7 0
3 years ago
On average,Shane drinks 1/2 of a 6-ounce of water in 2/3 hour.How much water does she drinks in an hour.Show work
In-s [12.5K]

Answer:

4.5 ounces

Step-by-step explanation:

First dived 3 by 2 to figure out how much water she drinks in 1/3 of a hour.  

Second, you take the answer 1.5 ounces per 13 of an hour and multiply it by 3.

Lastly, you get your answer 4.5 ounces of water in a hour.

1. 3 / 2 = 1.5

2. 1.5 x 3 = 4.5

7 0
3 years ago
Read 2 more answers
PLZZZZZZZZZZZZZZ HELP ME
ANTONII [103]

Answer:

316.41

Step-by-step explanation:

Because if you mutiply to find both volumes then add the volumes together you would get 316.41

3 0
3 years ago
A kite is flying 20 ft off the ground. Its line is pulled taut and casts a 15 ft - shadow. Find the length of the line. If neces
Kryger [21]

Answer:

The answer to your question is 25 ft

Step-by-step explanation:

Data

height = 20 ft

leg = 15 ft

length of the line = ?

To solve this problem use the Pythagorean theorem.

Height = short leg = b

leg = long leg = a

length of the line = hypotenuse = c

- Substitution

         c² = (20)² + (15)²

-Simplification

         c² = 400 + 225

         c² = 625

-Result

         c = \sqrt{625}

         c = 25 ft

6 0
3 years ago
What is the area of a triangle with vertices (1,0) (5,0) (3,4)
Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (1,0) (5,0) (3,4). So

A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|

A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)

A = \pm 0.5*(20-4)

A = \pm 0.5*16 = 8

The area of the triangle is of 8 units of area.

3 0
3 years ago
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