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kolbaska11 [484]
4 years ago
12

Simplify: 5 - 2(3 + 4)

Mathematics
2 answers:
Ne4ueva [31]4 years ago
7 0

Answer:

-9

Step-by-step explanation:

5 - 2(3+4)\\5 - 2(7)\\5 - 14\\-9

just olya [345]4 years ago
3 0

Answer:

-9

Step-by-step explanation:

<em>Hey there!</em>

Well, to simplify,

5 - 2(3 + 4)

Wel need to use PEMDAS,

3+4=7

7 * -2 = -14

5 - 14 = -9

<em>Hope this helps :)</em>

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Solve 0.25[2.5x + 1.5(x – 4)] = –x.
zheka24 [161]

Answer:

X = 0.75

Step-by-step explanation:

0.25[2.5x + 1.5(X-4)]= -X

0.25[2.5x + 1.5x - 6] = -x

0.25[4x -6] = -x

1x + x = 1.5

2x = 1.5

x = 1.5/2

x = 0.75

8 0
3 years ago
Need help with pre-cal
timurjin [86]

A plot of the points A(-2, 11), B(5, 7), C(1, 0) is given by the option;

  • D

  • The triangle is a right triangle given that (AC)² = (AB)² + (BC)²

  • The area of the ∆ABC is 32.5 square units.

  • Sum of the squares of the lengths of the legs of the triangle = <u>130</u>

  • Square of the length of the hypotenuse of the triangle = <u>130</u>

<h3>How can ∆ABC be proven to be a right triangle from its dimensions?</h3>

The coordinates of the vertices of the triangle are;

A = (-2, 11), B = (5, 7), C = (1, 0)

Therefore, on the coordinate plane, we have;

The highest and leftmost point of the triangle is the vertex, <em>A</em>

The second highest and rightmost point of the triangle is the vertex, <em>B</em>

The<em> </em>vertex of the triangle that is midway between <em>A </em>and <em>B </em>and the lowest vertex of the triangle is the vertex <em>C</em>

  • The<em> </em>correct<em> </em>option that shows the points ABC and triangle ABC is the option <em>D</em>.

The lengths of the sides of the triangle are;

AB = √((-2 - 5)² + (11 - 7)²) = √(65)

BC = √((5 - 1)² + (7 - 0)²) = √(65)

AC = √((-2 - 1)² + (11 - 0)²) = √(130)

Therefore;

(AC)² = 130 = (AB)² + (BC)² = 65 + 65

Which gives;

  • (AC)² = (AB)² + (BC)²

Therefore;

  • ∆ABC is a right triangle, from the definition of a right triangle.

The legs of ∆ABC are AB and BC

AC is the hypotenuse of ∆ABC

The area of ∆ABC is therefore;

Area = (1/2) × AB × BC

Which gives;

Area of ∆ABC = (1/2) × √(65) × √(65)

√(65) × √(65) = 65

  • Area of ∆ABC = (1/2) × 65 = 32.5

(AB)² + (BC)² = 65 + 65 = 130

Therefore;

  • Sum of the squares of the lengths of the legs of the triangle = 130

(AC)² = 130

  • Square of the length of the hypotenuse of the triangle = 130

Learn more about right triangles here:

brainly.com/question/2284306

#SPJ1

3 0
2 years ago
a bathtub is filled with 38 1/3 gallons of water. if 2 3/5 gallons splash out, how much water is left in the tub?
PilotLPTM [1.2K]

Answer:

3/5^3

3/5^3 = 27

125

= 0.216

Step-by-step explanation:

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter 5/100. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Calculator follows well-known rules for order of operations. Most common mnemonics for remembering this order of operations are:

PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction

BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

Be careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

8 0
3 years ago
Read 2 more answers
The area of the square base is S(x), where x is the length of the concrete foundation, and the area of the base of the cylindric
Andrews [41]

Answer:

C(r) is the area of the base of a cylindrical tank with radius r.

We know that this area is:

C(r) = pi*r^2

S(x) is the area of the square base where x is the side length of the base.

S(x) = x*x

Now, we have the expression:

S( C(r)) wich means that we are evaluating the function S(x) in the point x = C(r)

Now, we have a problem here.

In S(x), S(x) is in units of area, and x is in units of length.

And the same for C(r), C(r) is in units of area, and r in units of length.

then we can not have x = C(r)

Then this expression does not represent anything, because the units do not match, so it has no physical sense.

8 0
4 years ago
The volume of a cone is 329.6 cubic inches, and the height is 5.4 inches. Which of the following is the closest to the radius r
Anna [14]

Answer:

329.6=1/3×16.97r

5.66r=329.6/÷5.66

r=58.23

8 0
3 years ago
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