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1 year ago

54.6g of sugar is needed to make 7 cakes. How much sugar is needed for 12 cakes? |

Mathematics

2 answers:

ioda1 year ago

8 0

Answer:

93.6g

Step-by-step explanation:

54.6g/7=7.8g

7.8*12=93.6

Elena L [17]1 year ago

5 0

Answer:

153.8 grams of sugar is needed

Step-by-step explanation:

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An item costs $420 before tax, and the sales tax is$ 16.80 whats the sale tax rate

miss Akunina [59]

Answer:

Step-by-step explanation:

15.97

6 0

1 year ago

18. Manufacturers often package products in a way that uses the least amount of material One measure of the efficiency of a pack

Lemur [1.5K]

Answer:

a. $E=\frac{2h+2r}{rh}$

E of first can = $E=\frac{2h+2r}{rh}$

E of second can = $E=\frac{h+2r}{rh}$

c. Yes

Step-by-step explanation:

The efficiency ratio is:

E = Surface Area / Volume

We can write:

$E=\frac{S}{V}$

Where

S is surface area of cylinder

V is volume of cylinder

The formulas are:

S = $2\pi rh+2\pi r^2$

V = $\pi r ^2 h$

So, the efficiency ratio (E) is:

$E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}$

The first can has radius "r" and height "h", so the efficiency ratio is:

$E=\frac{S}{V}\\E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}$

The second can has same height, "h", and twice radius, "2r", so the efficiency ratio becomes:

$E=\frac{S}{V}\\E=\frac{2\pi (2r)h+2\pi (2r)^2}{\pi (2r)^2 h}\\E=\frac{4\pi rh +8\pi r^2}{4\pi r^2h}\\E=\frac{4\pi r(h+2r)}{4\pi r(rh)}\\E=\frac{h+2r}{rh}$

We now need to say if the company made a good decision or not.

If you look at both the Efficiency ratios above, you will see that the difference is in the numerator.

The first can has "2h"

The second can has "h"

The "2h" makes the numerator for the first can BIGGER than the "h" of the second can, so the Efficiency ratio of first can is thus, BIGGER.

We need smaller ratio.

So, 2nd can has indeed smaller ratio, so the company made a good decision.

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2 years ago

3.4.4 Journal: Exponential vs. Quadratic

zysi [14]

Answer:

what's the question your asking for?

5 0

1 year ago

Which statement is an example of the symmetric property of congruence?

olchik [2.2K]

The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.

Mathematically, this statement of the symmetric property of congruence can be written as:

If $A\cong B$ , then $B\cong A$ .

Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:

If $\Delta EFG\cong \Delta HJK$ , then $\Delta HJK\cong \Delta EFG$ which is the exact statement of the symmetric property of congruence when applied to triangles.