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Lina20 [59]
3 years ago
8

I. How long is the lunch period?

Mathematics
1 answer:
Marina86 [1]3 years ago
6 0
II, III, and IV are statistical questions about lunchtime that anticipate variability. 
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Jane, Scott, and Frank have a total of $144 in their wallets. Frank has 4 times what Jane has. Scott has $6 less than Jane. How
konstantin123 [22]

Answer:

Jane have $25

Frank have $100

Scott have $19

Step-by-step explanation:

To find the amount that each have, we have to represent this information in a mathematical format  and then solve

let x represent represent the amount that Jane has

let Y represent represent the amount that Frank has

let z represent represent the amount that Scott has

From the question given, "Jane, Scott, and Frank have a total of $144"  can be represented mathematically as

x + y + z = $144 ---------------------------------------------------------------------------------(1)

"Frank has 4 times what Jane has"   can be represented mathematically as

y = 4x ---------------------------------------------------------------------------------------------(2)

"Scott has $6 less than Jane"  can be represented mathematically as

z= x- 6 ----------------------------------------------------------------------------------------------(3)

we can now solve the equations using the substitution method

substitute equation (2)  and (3)  into equation (1)

x + y + z = $144

x + 4x + x-6 = $144

6x -6 = $144

add 6 to both-side of the equation

6x - 6 + 6 = $144 + 6

6x =$150

Divide both-side of the equation by 6

6x/6 = 150/6

x = $25

from equation 2

y = 4x

substitute x= $25 in equation (2)

y = 4 (25)

y = $100

substitute x=$25 in equation  (3)

z = x- 6

z = 25 - 6

z=$19

Jane have $25

Frank have $100

Scott have $19

6 0
2 years ago
1. A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing
dybincka [34]

Given:

Consider the below table attached with this question.

Every square meter of ceiling requires 10.75 tiles.

To find:

The missing values in the table.

Solution:

We have,

1 square meter of ceiling =  10.75 tiles.      ...(i)

Therefore, the number of tiles corresponding to 1 square meter of ceiling is 10.75.

Multiply both sides by 10.

10×1 square meter of ceiling =  10×10.75 tiles.

10 square meter of ceiling =  107.5 tiles.

Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.

Divide both sides by 10.75 in (i).

\dfrac{1}{10.75} square meter of ceiling = 1 tile.

Multiply both sides by 100.

\dfrac{100}{10.75} square meter of ceiling = 100 tiles.

On approximating the value, we get

9.3 square meter of ceiling = 100 tiles.

Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.

Multiply both sides by a in (i).

a×1 square meter of ceiling =  a×10.75 tiles.

a square meter of ceiling =  10.75a tiles.

Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.

8 0
3 years ago
Read 2 more answers
What is 4 x 4 x 4 x 4 x 4 x 4 in exponential notation?
Norma-Jean [14]

Answer:

4^{6}  

4096

Step-by-step explanation:

i tried

6 0
2 years ago
Read 2 more answers
Do the results support or contradict the common belief that the mean body temperature is 98.6degrees​F? A. The results contradic
nata0808 [166]

Answer:

A. The results contradict the belief that the mean body temperature is 98.6 °F because both the mean and the median are less than 98.6 °F.  

Step-by-step explanation:

Assume the temperature data were those in the table below.

You would have calculated that

  Mean = 97.9 °F

Median = 97.9 °F

These observations contradict the belief that the mean body temperature is 98.6 °F.

A 2017 study found the mean oral temperature of more than 35 000 British patients was 97.9 °F.

 

7 0
3 years ago
Please help and thank you
likoan [24]

Answer:

survey

Step-by-step explanation:

because she wants to know the opinions of the girls

6 0
2 years ago
Read 2 more answers
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