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Viktor [21]
3 years ago
9

Fred bought a box of wooden popsicle sticks so that he could make a jewelry box for his mom. He used 58 popsicle sticks to make

the jewelry box. Fred has 34 popsicle sticks left. Let p represent how many popsicle sticks were in the box to start. Which equation models the problem?
Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer:

<h3>p - 34 = 58</h3>

Step-by-step explanation:

Given

Initial number of popsicle sticks in the box to start = p

Amount used = 58 popsicle sticks

Amount left = 34 popsicle sticks

The equation that models the problem is expressed as;

Initial popsicle sticks in the box = Amount used + amount left

Substitute the given values;

p = 58 + 34

p - 34 = 58

<em>hence the required model is p - 34 = 58 </em>

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The coordinates of three vertices of square ABCD are A(−212,112),B(−212,−3), and C(2,112).
Lady_Fox [76]

Answer:

<em>P=760</em>

Step-by-step explanation:

Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.

Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).

This shape has sides that are parallel to both axes.

To calculate the perimeter we find the length of two sides.

The distance from A to B is the difference between their y-axis:

w=112-(-3)=115

The distance from A to C is the difference between their x-axis:

l=2-(-212)=215

It's evident this is not a square but a rectangle. The perimeter is

P=2w+2l=330+430

P=760

7 0
3 years ago
Decide if the situation involves a permutation... anyone?
ehidna [41]

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

4!=4\cdot3\cdot2\cdot1=24

possible ways to do it.

4 0
3 years ago
Can someone please help me with these two questions ​
Anarel [89]

Answer:

  23.  0.4583 seconds

  24.  0.0107 seconds

Step-by-step explanation:

The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.

 90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s

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23. The time it takes for the ball to travel 60.5 ft is ...

  time = distance/speed

  time = (60.5 ft)/(132 ft/s) = 0.4583 s

It takes 458.3 milliseconds to reach home plate.

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24. time = distance/speed

  time = (17 in)/(1584 in/s) = 0.0107 s

The ball is in the strike zone for 10.7 milliseconds.

4 0
3 years ago
Evaluate the expression when x = 5<br> Am I correct? Is 5 the answer? I’m confused.
mixas84 [53]
The answer is negative 5
7 0
3 years ago
a 36 inch board is to be cut into three pieces so that the piece is twice as long as the first piece and the third piece is 3 ti
ICE Princess25 [194]

Answer:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

Step-by-step explanation:

Length of the first piece = x

Length of the second piece = 2x

Length of the third piece = 3x

Total length is 36 inches:

x + 2x + 3x = 36

6x = 36

x = 6

Therefore, the lengths are:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

7 0
3 years ago
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