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r-ruslan [8.4K]
3 years ago
12

To get to work, matt walks 0.75 miles from his house to the bus stop and rides the bus 3.8 miles to his office. if he walks at a

pace of 3.6 miles per hour and the bus drives at an average speed of 15 miles per hour, how long is his commute?
Mathematics
1 answer:
natulia [17]3 years ago
3 0
4.16666667 is what i got 
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2 Mini Lesson: A wireless phone plan costs Eric $35 for a month of service during which he sent 450 text messages. If he was cha
mafiozo [28]

9514 1404 393

Explanation:

From your knowledge of the world, you know that ...

  • the cost of multiple items is the sum of their individual costs
  • multiplication can be used for repeated addition
  • utility fees are the sum of fixed fees and usage-related fees
  • for a phone plan, text message costs are a usage-related fee

The problem statement asks for the cost of a single text message. For the purpose of finding that value, it is convenient to represent it using the variable <em>t</em>. The problem statement says Eric was billed for 450 text messages, so we expect his usage-related fee to be 450t, the sum of the costs of 450 messages--using multiplication for the repeated sum.

The problem statement says Eric was billed 12.50 for fixed fees. So, we expect Eric's total bill to be ...

  fixed fees + usage-related fees = 12.50 + 450t

The problem statement says Eric's total bill was 35.00, so we assume that is the sum of the above-listed fees. That is, the two ways to express Eric's total bill are equal.

  12.50 +450t = 35.00

4 0
3 years ago
Find the length of the unknown side. Round your answer to the nearest tenth.
slamgirl [31]

Answer:

11.5

Step-by-step explanation

a^2+b^2=c^2

8(8)+(x)^2=196

64 + x^2=196

\sqrt{x^{2} }=\sqrt{132}

x=11.48

x=11.5 rounded

6 0
3 years ago
_____ cups rice is equivalent to 1 pound
Tanya [424]

Answer:

2.5 cups is equal to 1 pound.

Step-by-step explanation:

___2.5__ cups rice is equivalent to 1 pound

Hope This Helped

7 0
1 year ago
Read 2 more answers
Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate
lakkis [162]

Answer:

See explanation

Step-by-step explanation:

Start by dividing the isosceles triangle in half along the upper vertex angle (not the congruent base angles). This creates two right triangles. Since you divide the triangle in half along an angle, they both have an equal base angle, and they share a side, they are congruent by ASA. Since the corresponding sides of congruent triangles are equal, the sides opposite the congruent base angles of a triangle must be congruent.

Hope this helps!

8 0
2 years ago
Can you explain how a table can be used to find the rate of change
serg [7]

A table will generally give you an output value for each of several input values. To find the average rate of change over some range of inputs, divide the difference between output values by the difference between input values for the corresponding inputs.

For example, consider the table

input .... output

.. 1 ............ 3

.. 3 ........... -5

The average rate of change between these input values is

... (change in output)/(change in input) = (-5 -3)/(3 - 1) = -8/2 = -4.

6 0
3 years ago
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