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Furkat [3]
3 years ago
11

Serena bought 4 packs of pencils and 12 notebooks

Mathematics
2 answers:
Olin [163]3 years ago
6 0

Answer:

6

Step-by-step explanation:

that is what it said the correct answer was

Anarel [89]3 years ago
5 0

Answer: pencil (x) = 3.00, notebook (y) = 4.00

Step-by-step explanation:

Let pencils be denoted using 'x', and notebooks 'y'.

4x+12y = 60, 14x+7y=70

Let us use the method of elimination. However, neither variable has the same coefficient, so let us multiply the first equation using 7, and the second using 2.

7(4x+12y = 60) => 28x+84y=420

2(14x+7y=70) => 28x+14y=140

Let us subtract the second equation from the first. This eliminates the first variable x, and gives the equation 70y=280

Dividing either side of the equation by 70, we get y=4.

If we substitute (plug in) y=4 for the first equation we get x=3

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Please help! It’s late! (One question)
SVETLANKA909090 [29]
Answer: Both

Explanation: The triangles all have corresponding congruent angles. We can tell this by finding the third angle of the original problem: 96.

Then you can read each triangle by what it states. Angle A is congruent to the corresponding angles in the other triangles, which are Q and T. Angle B is congruent to the corresponding angles in the other triangles, which are R and U. Angle C is congruent to the corresponding angles in the other triangles, which are S and V.

We know heard similar since they have congruent angle measures in corresponding spots.
3 0
3 years ago
In a race between 18 people, how many ways can the top 5 finishers be arranged?
snow_lady [41]

Answer:

Step-by-step explanation:

This is permutation, since order matters.  The formula for us is

₁₈P₅ = \frac{18!}{(18-5)!} which simplifies to

₁₈P₅ = \frac{18*17*16*15*14*13!}{13!}

The factorial of 13 cancels out on the top and bottom leaving you with

₁₈P₅ = 18 × 17 × 16 × 15 × 14

which comes to 1,028,160 ways

Another way to look at it is:  the first 5 people of 18 finish and the others you don't care about.  Once the first place person is first, there are only 4 of the 18 left to finish in second place.  Then there are only 3 left to finish in third place, etc.  So if we use that reasoning, we don't even need to use the formula, we can just say

18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.

8 0
3 years ago
Rewrite (21+31).4 using the disbributive property of multiplication over addition
Mamont248 [21]

Answer: evaluate it is 52

Step-by-step explanation:

7 0
3 years ago
Olivia wants to walk 8000 steps today. She walked 45% of this total before lunch? How many steps did Olivia walk before lunch?
LiRa [457]

Answer:

3600 steps

Step-by-step explanation:

Step 1: Multiply 45 by 8000.

  • 45 * 8000
  • 360000

Step 2: Move the decimal point two places to the left.

  • 36000.0
  • 3600.00

Therefore, the answer is 3600 steps.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

4 0
3 years ago
Step by step please and thank you.
cupoosta [38]

Answer:

  the probability is 2/9

Step-by-step explanation:

Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).

  p(dime first) = 4/10 = 2/5

Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.

The joint probability of these two events occurring sequentially is the product of their probabilities:

  p(dime then nickel) = (2/5)×(5/9) = 2/9

_____

<em>Alternate solution</em>

You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.

  p(dime/nickel) = 20/90 = 2/9

8 0
3 years ago
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