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Natali [406]
3 years ago
8

You have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is

1 ft:1.26 cm. if a toothpick is 6.3 cm tall, how many toothpicks tall will your model be? the model will be 6 toothpicks tall. your mother is out of toothpicks, and suggests you use cotton swabs instead. you measure them, and they are 7.7 cm tall. how many cotton swabs tall will your model be? if necessary, round your answer to the nearest whole number
Mathematics
1 answer:
sveticcg [70]3 years ago
4 0
Since your scale is 1ft:1.26cm, a 30-ft tall school would need to have a 30*1.26=37.8 cm model. Dividing this by how tall each toothpick is, you'll get:

\frac{37.8}{6.3} =6

ANSWER: The model would be 6 toothpicks tall.

To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:

\frac{37.8}{7.7} =5

ANSWER: The model would be 5 cotton swabs tall.
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Answer:

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5\left(6p+2\right)=20

\frac{5\left(6p+2\right)}{5}=\frac{20}{5}

6p+2=4

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2 years ago
Which ordered pair is a solution of the equation y = 10x?<br><br>​
ddd [48]

Answer:

THE ANSWER WILL BE...

NOTE : Just substitute the x and y variable with (-6,-60) and you will see I am right.

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-60= 10(-6)

<em><u>Please mark as brainliest</u></em>

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6 0
3 years ago
Solve. 9(4h - 6) = 2( -13 - 2h)
Afina-wow [57]

Answer: h= 7/10

Step-by-step explanation:

9(4h - 6 ) = 2(-13 - 2h)       Distribute on both sides

9(4h) + 9(-6) = 2(-13) + 2(-2h)

36h - 54 = -26 - 4h       Add 4h to both sides

+4h                   +4h

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40h = 28     Divide both sides by 40

h = 7/10

6 0
3 years ago
Read 2 more answers
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the h
Mama L [17]

The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively

<h3>Represent the distance-height relationship for each player’s ball as an equation, in a table and on a graph. </h3>

<u>Juan</u>

Juan's equation is given as:

h = -0.001d^2 + 0.5d + 2.5

h =

Set d to multiples of 50 from 0 to 400.

So, the table of values of Juan's function is:

d (ft)                   h(ft)

0                          2.5

50                        25

100                      42.5

150                        55

200                      62.5

250                        65

300                      62.5

350                        65

400                      42.5

See attachment for the graph of Juan's function

<u>Mark</u>

A quadratic function is represented as:

h = ad^2 + bd + c

Using the values on the table of values, we have:

c = 3 -- the constant value

So, the equation becomes

h = ad^2 + bd + 3

Using the two other values on the table of values, we have:

23 = a(50)^2 + b(50) + 3

38 = a(100)^2 + b(100) + 3

Using a graphing tool, we have:

a = -0.001

b = 0.45

So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3

See attachment for Mark's graph.

<u>Barry</u>

From the graph, we have the table of values of Barry's function to be:

d (ft)                   h(ft)

0                          2.5

50                        21

100                      35

150                       44

200                      48

250                       46

300                      41

350                       30

400                      14

450                      0

Using a graphing tool, we have the quadratic function to be:

y = -0.001x^2 +0.4x +2.5

<h3><u>The shortest and the greatest distance before hitting the ground</u></h3>

From the graphs, equations and tables, the distance travelled by the balls are:

Juan = 505 feet

Mark = 457 feet

Barry = 450 feet

This means that Juan's ball would travel the greatest distance while Barry's ball would travel the shortest.

<h3>The height the balls hit a fence at 350 ft distance</h3>

To do this, we set d = 350

From the graphs, equations and tables, the height at 350 ft by the balls are:

Juan = 65 feet

Mark = 38 feet

Barry = 30 feet

The above represents the height the balls hit the fence

Read more about quadratic functions at:

brainly.com/question/12446886

#SPJ1

4 0
1 year ago
keiko, chang, and scott sent a total of 130 text messages over their cell phones during the weekend. Scott sent 10 fewer message
Olenka [21]
Keiko sent 30 text messages Scott sent 20 text messages chang sent 80
8 0
3 years ago
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