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mamaluj [8]
4 years ago
11

Solve the equation and give explanation

Mathematics
2 answers:
Natalija [7]4 years ago
8 0

Answer:

5 9/10

Step-by-step explanation:

step one: convert 4 1/2 into 9/2 and convert 1 2/5 into 7/5

step two: find common denominator which is 10

step three convert to common denominator, 9/5=45/10 and 7/5= 14/10

step four add together which is 59/10

step five simplify into mixed number 5 9/10

bearhunter [10]4 years ago
8 0

Answer:

5  \frac{9}{10} = 5 9/10

Step-by-step explanation:

Rewrite by seperating

4 + \frac{1}{2} + 1 + \frac{2}{5}

Combine the whole numbers '4' and '1'

5 + \frac{1}{2} + \frac{2}{5}

Now add the both fractions

\frac{1}{2}  + \frac{2}{5} ; fractions should have a common denominator in order to be added

The common LCD is 10

\frac{1}{2} * \frac{5}{5}  + \frac{2}{5}*\frac{2}{2}

\frac{5}{10} + \frac{4}{10} now we can add

\frac{5}{10} +  \frac{4}{10} = \frac{9}{10}

Lastly combine the whole number part and the fraction part

5 + \frac{9}{10} = 5 \frac{9}{10}

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BONUS, Factor 1 - 64x^3 completely,
kvv77 [185]

Rewrite then factor as a difference of cubes:

1 - 64<em>x</em>³ = 1³ - (4<em>x</em>)³

= (1 - 4<em>x</em>) (1² + 4<em>x</em> + (4<em>x</em>)²)

= (1 - 4<em>x</em>) (1 + 4<em>x</em> + 16<em>x</em>²)

6 0
3 years ago
Write the expression below as a product of two factors 6m +8n + 4
maxonik [38]
So,

We can see a common factor distributed.

Undistribute
2(3m + 4n + 2)

4 0
4 years ago
Read 2 more answers
Workout the length of AB. Give your answers to 3 significant figures.
german

Answer:

AB ≈ 6.71

Step-by-step explanation:

Calculate the length using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = A (- 1, 6) and (x₂, y₂ ) = B (5, 3)

AB = \sqrt{(5-(-1))^2+(3-6)^2}

    = \sqrt{(5+1)^2+(-3)^2}

    = \sqrt{6^2+9}

    = \sqrt{36+9}

    = \sqrt{45}

    ≈ 6.71 ( to 3 significant figures )

8 0
3 years ago
△ABC  is a right triangle with right angle C. Side AC is 6 units longer than side BC . If the hypotenuse has length 52–√ units,
Evgesh-ka [11]

Answer:

AC = 7.12 units

Step-by-step explanation:

A right triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. As Angle C is the right angle, then the triangle can be constructed as shown in the picture attached. The sides of the triangle have a relationship known as the Pythagorean Theorem a² + b² = c². In the theorem, the legs of the triangle are a and b while the hypotenuse is c. Substitute a = x, b = x+6, and c = √52. Simplify and solve.

a² + b² = c²

x² + (x+6)² = √52²

x² + x² + 12x + 36 = 52

2x² + 12x - 16 = 0

You can use the quadratic formula to solve by substituting a = 2, b = 12, and c = -16.

The quadratic formula is x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}.

Substitute and you'll have:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-12+/-\sqrt{12^2-4(2)(-16)} }{2(2)}=\frac{-12+/-\sqrt{144+128} }{4)}

\frac{-12+/-\sqrt{272} }{4}=\frac{-12+/-16.5 }{4} = 1.12, 7.13

Only 1.12 is a solution since 7.13 will not satisfy the Pythagorean theorem

Side AC is 6 units longer than side BC. This means x = BC and AC = x + 6.

AC = 1.12 + 6 = 7.12

6 0
4 years ago
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p
Sever21 [200]
P = g - 50
The profit in this equation, p, is similar to the y value and the g in this equation is equal to the x value. Because the profit per glass sold is one, you can just leave it out end up with g - 50 because you are deducting your profit from your expense.
5 0
3 years ago
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