Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use. Each key on the student calculators is 14 millimeters wide, and each key on the demonstration calculator is 2.8 centimeters wide. If the student calculators are 252 millimeters tall, how tall is the demonstration calculator?
Answers
The height of the demonstration calculator is 504 millimeters.
To find the height of the demonstration calculator, we can use the ratio of the key widths between the student calculators and the demonstration calculator.
Let's first convert all measurements to the same unit for consistency. Since we need to find the height of the demonstration calculator, let's convert the width of the keys on the demonstration calculator to millimeters, which is the unit used for the height of the student calculator.
1 centimeter (cm) = 10 millimeters (mm)
Width of the key on the demonstration calculator =
= 2.8 cm x 10 mm/cm
= 28 mm
Now, we know the width of each key on the demonstration calculator is 28 millimeters.
We can use this information to find the height of the demonstration calculator.
The ratio of the width of the keys on the demonstration calculator to the width of the keys on the student calculator is:
= 28 mm (demonstration calculator) / 14 mm (student calculator)
Now, let's set up a proportion to find the height of the demonstration calculator (Hd):
Hd (demonstration calculator) / 252 mm (student calculator)
= 28 mm (demonstration calculator) / 14 mm (student calculator)
Hd / 252 = 28 / 14
Hd / 252 = 2
Hd = 2 x 252
Hd = 504 millimeters
So, the height of the demonstration calculator is 504 millimeters.
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Final answer:
The height of the large demonstration calculator is 50.4 cm, determined by converting measurements to the same units and using the scale factor between the student and demonstration calculators.
Explanation:
The question involves scale factor and unit conversion in mathematics. The scale factor between the student calculator buttons and the large demonstration calculator buttons is 2.8 cm (button size of large calculator) divided by 1.4 cm (button size of student calculator, which equates to 14 mm). Therefore, the scale factor is 2.
To find the height of the large calculator, we multiple the height of the student's calculator (252 mm or 25.2 cm) by the scale factor 2. Therefore, the height of the large demonstration calculator is 50.4 cm.
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Related Questions
Someone help me with this algebra 2 question
Assume that lines a and b are parallel, and the given angles are given in degrees. What is the value of x? (Equation: 2x + 90 = x + 95)
Convert these base five and base two numbers to base ten.a. 1312ve b.110110110two
Which is bigger 8/10 or 79/100
2. A credit card company charges a late fee of 25 dollars each time a customer
fails to pay on time. A customer missed the payment 4 times last year. At
the customer's request and out of courtesy, the credit card company
decides to cancel all late fees for that year. Write a numerical expression to
show how much money was return.
Answers
Step-by-step explanation:
1.
$4 for 8 days. that means $4 on each and every day, 8 times.
so, in total that is 4 × 8 = $32
that is how multiplications work.
m×n means that m is added n times (or vice versa and n is added m times).
2.
similar here.
$25 each time the customer missed a payment. and he missed 4 times that year.
the bank returned the fees for all 4 occasions. so,
returned money = 25 × 4 = $100
Answers
Answers
Answer
Find out the what is her monthly fixed charge .
To prove
Let us assume that the cost per mintues = x
Let us assume that the monthly charge be = y
As given
n Chatty Cathy’s cell phone plan she pays for minutes used plus a fixed monthly charge.
For 500 minutes she pays $35 total
Than the equation becomes
500x + y = 35
As given
for 1500 minutes used she pays $55 total.
Than the equation becomes
1500x + y = 55
Subtracted 500x + y = 35 from 1500x + y = 55
1500x - 500x + y - y = 55 - 35
1000x = 20
x = $0.02
Put in the 500x + y = 35
500 × 0.02 + y = 35
10 + y = 35
y = 35 - 10
y = $25
Therefore the monthly fixed charge be $25.
Answers
Answer:
$894.97 is needed more to break even
Step-by-step explanation:
In this question, we want to know how much money the pizza shop need so that their profits will equal their expenses.
Let’s calculate their profit
This can be calculated from the pizza sales
That would be;
61(3.06) + 89(1.42) = $186.66 + $126.38 = $313.04
Now, given that their bills for the first month is $1,208.01, the amount still needed to break even would be the amount of their bills minus the profit made from selling soda and pizza
That would be 1,208.01 - 313.04 = $894.97
Answers
Answer:
$1.35 per yard
Step-by-step explanation:
$8.10/6=$1.35
Answer:
$1.35
Step-by-step explanation:
$8.10 divided by 6
Answers
About 29.5 people per km^2