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oksian1 [2.3K]
3 years ago
13

The following frequency table relates the weekly sales of bicycles at a given store over a 42-week period.

Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

Answer:

14

Step-by-step explanation:


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suppose 8 out of every 20 students are absent from school less than 5 days a year predict how many students would be absent from
Liula [17]
40,000 divided by 20 = 500
500 x 12 (which was 20-8)= 6,000
6,000 students
4 0
3 years ago
Damon makes 20 cups of lemonade by mixing lemon juice and water. The ratio of lemon juice to water is shown in the tape diagram.
Effectus [21]

Answer:  4 cup

Step-by-step explanation:

Here, the total number of cups in lemonade = 20 cups

In which some are cup of lemon juice and some are cups of water.

And, the ratio of cups of lemon juice and water in one lemonade = 1 : 4

Let the cups of lemon juice in one lemonade = 1 x

And, The cups of water in one lemonade = 4 x

Where x is any number.

Thus, 1 x + 4 x = 20

⇒ 5 x = 20

⇒ x = 20/5 = 4

Thus, Damon uses 4 cup of lemon juice in one lemonade.

6 0
3 years ago
Read 2 more answers
In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.
Neporo4naja [7]

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

4 0
3 years ago
A baker used 2 5/6 pounds of butter to make cookies. On a particular day, the baker used 8 1/2 pounds of butter to make cookies.
ddd [48]
8 1/2 / 2 5/6 

<span>17/2 / 17/6 </span>

<span>1/2 / 1/6 </span>

<span>3 </span>
3 0
3 years ago
Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.
liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

f(x) = \frac{x^2+4x+3}{x^2-x-2}

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial x^2-x-2

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

(x-2) (x + 1)

We do the same with the numerator

x^2+4x+3

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

(x+3)(x + 1)

Therefore

f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}

Note that \frac{(x+1)}{(x+1)}=1 only if x \neq -1

So since x = -1 is not included in the domain the function has a discontinuity in x = -1

3 0
3 years ago
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