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sineoko [7]
3 years ago
13

50% of all the cakes jenny baked that week were party cakes, 1/5 were fruits cake and the remainder were sponge cake. what is th

e percentage of the sponge cakes
Mathematics
2 answers:
umka2103 [35]3 years ago
7 0
30%
1/5 is 0.2, or 20%. So 50%+20% = 70%. The remainder is 30%
Murljashka [212]3 years ago
6 0

Answer:

30% sponge cakes.

Step-by-step explanation:

We have been given that 50% of all the cakes jenny baked that week were party cakes, 1/5 were fruits cake.

Let us convert 1/5 into percentage as:

\frac{1}{5}\times 100\%

0.2\times 100\%

20\%

Therefore, 20% of cakes are fruit cake.

Now, we will find remainder by subtracting 20 plus 50 percent from 100 percent as:

\text{Remainder}=100\%-(50\%+20\%)

\text{Remainder}=100\%-70\%

\text{Remainder}=30\%

Therefore, the  percentage of the sponge cakes is 30%.

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Step-by-step explanation:

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4 0
3 years ago
What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)
Gala2k [10]

Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

  • A(-1, 4) is the original point
  • A'(3, 3) is the image of A

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

6 0
3 years ago
El precio de costo de “x” artículos es 60x + 4 000, además el precio de venta de los mismos es 80x. Determinar la cantidad de ar
Citrus2011 [14]

Answer:

800 artículos.

Step-by-step explanation:

Sea x = la cantidad de artículos vendidos

De la pregunta,

Precio de costo = 60 x + 4000

Venta (precio de venta) = 80x

También nos dieron ganancias como S12000

Para determinar la ganancia

Precio de venta: precio de costo = beneficio (cuando el precio de venta es más alto que el precio de costo)

Por lo tanto,

12,000 = 80x - (60x + 4000)

12,000 = 80x - 60x - 4000

Recolectando términos similares

12,000 + 4,000 = 80x - 60x

16,000 = 20x

x = 16,000 / 20

x = 800

Por lo tanto, la cantidad de artículos que se venderán si desea obtener una ganancia de S12,000 es de 800 artículos.

7 0
2 years ago
Simplify: − 7( 21 − 16) + 3(9) (24 − 18)
Mekhanik [1.2K]
The answer to the problem is 127
6 0
3 years ago
Read 2 more answers
Engineers want to design passenger seats in commercial aircraft so that they are wide enough to fit 95 percent of adult men. Ass
zimovet [89]

Answer:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

Step-by-step explanation:

Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:

X \sim N(14.4,1.1)  

Where \mu=14.4 and \sigma=1.1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64

Using this value we can set up the following equation:

P(X  

P(z

And we have:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

8 0
2 years ago
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