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4 years ago

A pie was cut into 8 equal slices if Ruben ate 3/4 of the pie how many slices did he eat?

2 answers:

8 0

You can just set 3/4=X/8, when you multiply the 4 through you get 3=4x/8 which can be simplied to 3=x/2, multiply the 2 over and you have 6=x.

lys-0071 [83]4 years ago

7 0

Answer:

Ruben ate 6 pieces out of 8.

Step-by-step explanation:

We will understand 3/4 first. If we divide a pie into 4 pieces then Ruben ate 3 pieces of pie.

Further If we divide these 4 and 3 pieces to 8 and 6 then Ruben will eat 6 pieces out of 8.

Now we will show this mathematically

$\frac{3}{4}=\frac{3}{4}\times \frac{2}{2}=\frac{3\times2}{4\times2}=\frac{6}{8}$

Ruben ate 6 pieces out of 8.

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Rich weighed 320 pounds on June 1st. He lost 3 pounds per week by following a meal plan provided by a doctor for w Weeks write a

Dima020 [189]

Function for R=320-3w

6 0

3 years ago

Factor completely 3y^2+7y+4

geniusboy [140]

Answer:

3y² + 7y + 4 = (3x + 4)(x + 1)

Step-by-step explanation:

* To factor a trinomial in the form ax² ± bx ± c:

- Look at the c term

# If the c term is positive

∵ c = r × s ⇒ r and s are the factors of c

∴ r and s will have the same sign (sign of b)

∵ a = h × k ⇒ h , k are the factors of a

∴ rk + hs = b

∴ (hx + r)(kx + s) ⇒ if b +ve OR (hx - r)(kx - s) ⇒ if b -ve

# If the c term is negative

∵ c = r × s ⇒ r and s are the factors of c

∴ r and s will not have the same sign

∵ a = h × k ⇒ h and k are the factors of a

∴ rk - hs = b OR hs - rk = b

(hx + r)(kx - s) OR (hx - r)(kx + s)

* Now lets solve the problem

∵ 3y² + 7y + 4

∵ ax² + bx + c

∴ a = 3 , b = 7 , c = 4

∵ a = h × k

∵ 3 = 3 × 1

∴ h = 3 , k = 1

∵ c = r × s

∵ 4 = 4 × 1

∴ r = 4 , s = 1

∵ c is positive

∴ hs + rk = b

∴ 3(1) + 4(1) = 7 ⇒ same value of b

∴ 3y² + 7y + 4 = (3x + 4)(x + 1)

5 0

4 years ago

Read 2 more answers

Solve x^2- 8x = 20 by completing the square. Which is the solution set of the equation?

yanalaym [24]

The solution is -2 and 10

5 0

3 years ago

Which shapes are quadrilaterals?

lubasha [3.4K]

Hey there! I'm happy to help!

A quadrilateral is any polygon (enclosed shape) with four sides. Let's see what each of these shapes are.

Scalene right triangle - the prefix tri- means three (tricycle, tripod, triple, etc.), and all triangles have three sides, so this is not a quadrilateral.
Obtuse scalene triangle - once again a triangle, so not a quadrilateral.
Isosceles right triangle - would you look at that, another triangle! Not a quadrilateral.
Hexagon - a hexagon is a six-sided polygon (hex=six), so this is not a quadrilateral.
Pentagon - a pentagon is a five-sided polygon (pent=five, like Pentatonix!). Not a quadrilateral
Right trapezoid - a trapezoid is a quadrilateral with at least one pair of parallel sides!
Venn diagram - a Venn diagram is a compare and contrast chart made of two overlapping circles (ZERO sides), so this is not a quadrilateral.

So, the only shape on your list that is a quadrilateral is 6. right trapezoid.

Have a wonderful day! :D

5 0

3 years ago

A man can buy 20 mangoes or 30 oranges. If he wants a each amount of each, how many of each would he get? Write an EQUATION to s

DochEvi [55]

Answer:

Step-by-step explanation:

In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).

Let's say the man have z money, mangoes price is $\frac{1}{20}$ z and the oranges price is $\frac{1}{30}$ z. The equation for money and number of mangoes and oranges will be:

money = mango price * mangoes bought + orange price * orange bought

z= $\frac{1}{20}$ z * x + $\frac{1}{30}$ z *y

1= $\frac{1}{20}$ x + $\frac{1}{30}$ y

- $\frac{1}{30}$ y= $\frac{1}{20}$ x -1

y= -1.5x + 30

y= 30 - 1.5x

If he want equal number of mango and orange, that mean y=x. The calculation will be:

y= 30 - 1.5x

x= 30 - 1.5x

x+ 1.5x = 30

2.5x= 30

x= $\frac{30}{2.5}$ = 12

8 0

4 years ago