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aleksandrvk [35]
3 years ago
7

The piggy bank contains 16 dimes, 8 nickels, and 12 quarters. This morning you removed 3 dimes and 5 nickels.Which expression co

rrectly shows the amount remaining in the piggy bank?
Mathematics
1 answer:
Bond [772]3 years ago
3 0
16•0.10= 1.60$
8•0.05= 0.40¢
12•0.25= 3.00$

1.60$+0.40¢+3.00$= 5.00$

3•0.10= 0.30¢
5•0.05= 0.25¢

0.30¢+0.25¢= 0.55¢

5.00$-0.55¢= 4.45$

4.45$ is left in the piggy bank.
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How much water should we add to 35kg of sugar syrup to change it's concentration from 30% to 25%
agasfer [191]

Answer:

Water = 1/5 of the volume of the syrup

Step-by-.step explanation:

Suppose we had  1000 cm^3 of syrup  and the new volume after adding water is x cm^3.  Now the amount of sugar stays the same so we have the equation 35 * 1000 =  25 * x

x = (30 * 1000) / 25 =  30,000 / 25

= 1200 cm^3

So we need to add 200 cm^2 of water .

In general terms,  we need to add water which equals 1/5 of the volume of the syrup,

4 0
4 years ago
Can someone help please
11Alexandr11 [23.1K]

Answer:

geometric

common ratio 2/3

Step-by-step explanation:

We know that the sequence is not arithmetic

3-2 =1

2-4/3 = 6/3 -4/3 = 2/3

The common difference is not the same

Now check geometric

The common ratio:

Take the second term over the first term

2/3

Now take the third term over the second term

4/3 ÷ 2

4/3 * 1/2 = 2/3

The common ratio is the same so the sequence is geometric with a common ratio of 2/3

6 0
3 years ago
Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true? A line has points A, D, B, K, C. A
lubasha [3.4K]

Answer:

AC = 4DB

Step-by-step explanation:

see attachment

Given that B is the midpoint of AC, this means that AB≅BC.

Also, D is the midpoint of AB, therefore AD≅DB.

This shows that AD is 1/4 of the length of AC, since it is 1/2 of the length (1/2 x 1/2 = 1/4).  DB is the same length, since it is congruent to AD.

Thus, AC = 4DB.

5 0
4 years ago
Use the change of base formula to evaluate log4 20.
Shalnov [3]
Your calculator probably only evaluates in base 10 (ln is base e but we won't use that today)

so
log_a(b)=\frac{log_c(b)}{log_c(a)}
where c is the new base
so if you wanted in base 10
log_4(20)=\frac{log_{10}(20)}{log_{10}(4)}
using calculator, that is about 2.16096
5 0
4 years ago
67 people are running a race. How many different ways can there be a 1st, 2nd, and 3rd place winner?
Harrizon [31]
Probably by gender and age. Different age groups get first second and third.
5 0
3 years ago
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