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butalik [34]
2 years ago
12

Kyle Eunice has 78 blocks. She stacked it in such a way that the topmost row has one block, the row below it has two blocks, and

row below it has three blocks, and so on. How many rows does this stack have?
Mathematics
1 answer:
myrzilka [38]2 years ago
6 0

Answer:

12

Step-by-step explanation:

1

2

3

4

5

6

7

8

9

10

11

12

1+2+3+4+5+6+7+8+9+10+11+12=78

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a birthday cake at the bakery was $30 originally. During a sale, a discount of 28% was given. A further 15% discount was given t
V125BC [204]

Answer:

$18.36

Step-by-step explanation:

In this question, we have to find the cost of the cake for the customer who orders a month early.

We know that the original price of the cake is $30.

We also know that there was a 28% discount and a 15% discount added to the purchase.

Remember, You don't add discount percentages together, you discount the prices separately.

Solve:

First, apply the 28% discount.

30 · 0.28 = 8.40

30 - 8.40 = 21.60

Now apply the 15% discount to the new price.

21.60 · 0.15 = 3.24

21.60 - 3.24 = $18.36

They needed to pay $18.36 for the cake.

6 0
3 years ago
. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was to . If there were 12,7
Sever21 [200]

Answer: The question is incomplete

Step-by-step explanation: The answer to this question cannot be determined correctly since an important detail is missing.

However, let me explain how you would normally go about it by using an example of mine. If for example the ratio of yes votes to no votes was 8 to 5, and the question requires you to calculate how many yes votes were there as indicated in your question, then the first step would be to find the total number of both sides of the ratio. That is add 8 to 5 which gives you 13. This means if there was a total of 13 votes cast, every yes vote stands for 8 out of 13 votes and every no vote stands for 5 out of 13 votes.

To express it mathematically, every yes vote would be 8/13 of the total (12779) and every no vote would be 5/13 of the total (12779).

Therefore to determine how many yes votes there was, is calculated as follows;

Let yes votes be y and no votes be x'

y = (8/13) * 12779

y = 102232/13

y = 7864

<em>Based on my example that the ratio of yes votes to no votes is 8 to 5, </em>

Then the number of yes votes was 7,864.

7 0
3 years ago
Find the sum of the first n terms.
Sunny_sXe [5.5K]
S(8)=((100×(1−(50÷100)^(8))÷(1−50÷100)))
=199.22
5 0
3 years ago
Which of the following inequalities matches the graph?
musickatia [10]

Answer:

The last option y<4. Y is less than 4 since the shaded region is below 4 on the y Axis.

3 0
3 years ago
Read 2 more answers
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