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3 years ago

What is 78% of 40?? please help me

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

6 0

$p\%=\frac{p}{100}\\\\78\%=\frac{78}{100}=0.78\\\\therefore\\\\78\%\ of\ 40=0.78\cdot40=\boxed{31.2}$

wolverine [178]3 years ago

3 0

78% of 40
(78*40)/100

3120/100

31,20

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8 students got a treat. 4/5 of them got starburst. How many students got starburst?

aliya0001 [1]

Out of the 8 students that got treats 80% (4/5) of them got starbursts. Therefore, 8x.08 = 6.4 students got starbursts. you cannot have a whole number of students get starbursts so based on the question round up or down.

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3 years ago

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations

ivann1987 [24]

Aurora's plan is an illustration of a geometric sequence.

The recursive function is $T_n = 2 T_{n-1$ .
She will complete the 8th station in 512 minutes

From the question, we have:

$(x,y) = \{(1,4),(2,8),(3,16),(4,32)\}$

<u>(a) The pattern model</u>

To check if it represents an arithmetic sequence, we calculate the common difference between the y-coordinates

$d = 8 - 4 = 4$

$d = 16 - 8 = 8$

$d = 32 - 16 = 16$

The calculated differences are not the same;

This means that, the model is not arithmetic

To check if it represents a geometric sequence, we calculate the ratio between the y-coordinates

$r = \frac 84 = 2$

$r = \frac{16}8 = 2$

$r = \frac{32}{16} = 2$

The calculated ratios are the same;

This means that, the model is geometric

<u>(b) The recursive function</u>

The sequence is given as: $(x,y) = \{(1,4),(2,8),(3,16),(4,32)\}$

Where:

$T_1 = 4$

$T_2 = 8$

$T_3 = 16$

$T_4 = 32$

Rewrite as:

$T_1 = 4$

$T_2 = 2 \times 4$

$T_3 = 2 \times 8$

$T_4 = 2 \times 16$

Substitute $T_3 = 16$ in $T_4 = 2 \times 16$

$T_4 = 2 \times T_3$

Express 3 as 4 - 1

$T_4 = 2 \times T_{4-1$

Represent 4 as n

$T_n = 2 \times T_{n-1$

Hence, the recursive sequence is:

$T_n = 2 T_{n-1$

<u>(c) The explicit formula</u>

In (a), we have:

$r =2$

$T_1 = 4$

The nth term of a geometric sequence is:

$T_n = T_1 \times r^{n-1}$

So, we have:

$T_n = 4\times 2^{n-1}$

Express 4 as $2^2$

$T_n = 2^2\times 2^{n-1}$

Apply law of indices

$T_n = 2^{2+ n-1}$

$T_n = 2^{2-1+ n}$

$T_n = 2^{1+ n}$

So, the time to complete the 8th station is:

$T_8 = 2^{1+ 8}$

$T_8 = 2^{9$

$T_8 = 512$

Hence, she will complete the 8th station in 512 minutes

Read more about geometric sequence at:

brainly.com/question/11266123

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2 years ago

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Which equation is the inverse of y = 2x2 – 8?

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Step-by-step explanation:

<h2>Answer: √(x + 8) / 2 is the inverse of y = 2x2 - 8.</h2>

<h2>mark me as brainliest</h2>

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Freddy reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read,

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The answer is A i've done this before

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3 years ago

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180kg, 250kg, 200kg, 209kg, 195kg, 205kg, 190kg, 188kg, 192kg. What is the IQR of the lion's weights.

velikii [3]

Answer:

Step-by-step explanation:

Given the data:

180kg, 250kg, 200kg, 209kg, 195kg, 205kg, 190kg, 188kg, 192kg

The interquartile range (IQR) = Q3 - Q1

Reordering the data:

180, 188, 190, 192, 195, 200, 205, 209, 250

Q3 = 3/4(n+1)th term

Q3 = 3/4(10) = 7.5 th term = (205+209)/2 = 207

Q1 = 1/4(n+1)th term

Q1 = 1/4(10) = 2.5th term = (188+190)/2 = 189

Q3 - Q1 = 207 - 189 = 18

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3 years ago