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3 years ago

What is the value of x?

Mathematics

2 answers:

VMariaS [17]3 years ago

8 0

Answer:

Step-by-step explanation:

You have to set up a proportion for this!

Because ABC and PAQ are similar triangles (same angles and PQ || BC), you can assume that all the equivalent sides are proportional!

If you solve the proportion for x:

$\frac{x}{40} =\frac{7}{35}$

x = 8

Lana71 [14]3 years ago

6 0

D: The value of x is 8

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Eddie needs 2 2/3 cups of flour for one batch of pancakes. How much flour does he need for 2 1/2 batches?

Alexxandr [17]

for 1 batch of pancake = 2 2/3 = 8/3 cups

for 2 1/2 = 5/2 pancake = 8/3 * 5/2 = 40/6 cups = 6 4/6 cups

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3 years ago

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Simplify: (3²-4)/5 A. 1 B. 1.25 C. 1/5 D. 5

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Answer:

A is the correct answer

Step-by-step explanation:

(9 -4)/ 5

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Write L if it is likely to happen and U if unlikely to happen.

maria [59]

Answer:

Probabilities

Likely to happen (L) Unlikely to happen (U)

a. 4/5 5/8

b. 3/5 3/8

c. 4/5 4/7

d. 0.3 0.09

e. 5/6 and 4/5 2/3

Step-by-step explanation:

Probabilities in Percentages:

a. The probability of 4/5 = 80% and 5/8 = 62.5%

b. The probability of 3/8 = 37.5% and 3/5 = 60%

c. The probability of 4/5 = 80% and 4/7 = 57%

d. The probability of 0.3 = 30% and 0.09 = 9%

e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%

b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms. When this is done, the relative sizes become obvious, and then, comparisons can be made.

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3 years ago

Does 10 hours to 6 hours increase or decrease

Varvara68 [4.7K]

Depend on the time frame, A.M or P.M.

8 0

3 years ago

Suppose these show number of hours each student in a class slept last night:

Olin [163]

⊂ Hey, rosedalphinis ⊃

Answer:

Mean: 6.9 hours; Median 7 hours

Step-by-step explanation:

⇒ Given:

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Suppose these show number of hours each student in a class slept last night:

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

What is the mean of these numbers (rounded to the nearest tenth)?

What is the median?

Mean: 6.9 hours; Median 7 hours

Mean: 6.9 hours; Median 7.5 hours

Mean: 7 hours; Median 6.9 hours

Mean: 7.2 hours; Median 7 hours

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⇒ Solution~:

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Let's first define "Median".

You may be wondering "What is median/What is mean?".

When it asking for "Mean" It asking for the average.

When it asking for "Median" It asking for the middle number.

The formula for "Mean" is : M = sum of the terms/number of terms

According to the given we have;

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

Let's first find the "Mean":

First, add all the number together.

8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

34 + 9 + 6 + 5 + 10 + 7 + 6 + 6

43+ 6 + 5 + 10 + 7 + 6 + 6

49+ 5 + 10 + 7 + 6 + 6

54+ 10 + 7 + 6 + 6

64 + 7 + 6 + 6

71+ 6 + 6

77 + 6

= 83

Now let's count how many numbers of hours each student in a class slept.

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12

Now 83 divide by 12:

83/12 = 6.9166666666667 {Round}

6.9166666666667 = 6.9

Therefore, Mean = 6.9

-------------------------------------------------------------------------------------------------------------

Next, Let's find the "Median":

To find the Median, place the numbers in value order and find the middle.

⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now we have them in order:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Then, we find the middle number:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now You see that there two's 7 left.

If there is an even number of numbers add the two middles and divide by 2

Thus,

7 + 7 = 14

14/2 = 7

Therefore, Median = 7.

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According to the solving above we can conclude that:

Mean: 6.9 hours; Median 7 hours

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xcookiex12

9/4/2022

#Learnwithxcookiex12

4 0

1 year ago

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