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aivan3 [116]
3 years ago
7

Kim and Kate sell gym memberships. Kim earned $50 her first day of work and $75 each day after that. Kate earned $35 her first d

ay of work and $75 each day after that. Part A Find the pattern for calculating the amount that Kim and Kate each earn. Use the drop-down menus to complete the statements. For Kim, start at 50 and add 75 for each day after the first day. For Kate, start at 35 and add 75 for each day after the first day. Part B How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all. 180 225 260 275 330 375 Kim will have earned $ and Kate will have earned $ after 4 days.
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0

For Kim, start at  50  and add  75  for each day after the first day.

For Kate, start at  35  and add  75  for each day after the first day.

Part B

How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all.

Kim will have earned $ 275  and Kate will have earned  260  after 4 days.

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Four friends equally share three candy bars. Which fraction represents how much each friends receives?
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Each friend would receive 3/4
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Which of the following contains all of the irrational numbers in the set
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d

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2 years ago
triangular park ABC has sides 3 m, 5 m, and 6 m. a gardener ravi wants to put a fence all around it and also plant grass inside.
Mariana [72]

Step 1) Check if the given triangle lengths form a right triangle

3^2 + 5^2 = 6^2

9 + 25 = 36

36 = 36

Step 2) Solve for the area of the triangle

Formula: A = 1/2 x base x height

A = 1/2 x 3 x 5

A = 1/2 x 15

A = 7.5 m^2

Step 3) Solve for the perimeter of the triangle

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P = 3 + 5 + 6

P = 14 m

Ravi needs to plant 7.5m^2 of grass and put up a fence that is 14m in total length.

Hope this helps!! :)

7 0
3 years ago
The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and
NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120

Let's find h with the quadratic formula:

\fbox {Quadratic formula:}  \frac{-b\pm\sqrt{b^2-4ac}}{2a}

h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation  

\fbox {Pythagorean equation:} <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>

The base and the height are our legs. We will use "H" for the hypotenuse

H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17

H = 17

If we decrease the base and the height by 2 centimeters, we have  

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3

H' \approx 14.3

So, the hypotenuse decreases H - H' \approx 17 - 14.3 = 2.7

3 0
3 years ago
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