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algol13
3 years ago
8

Mr.Marcus is plotting a pack of pencils equally among his 25 students. After splitting the pencils he has 4 left. If there were

429 pencils to begin with, how many did each student receive?
Mathematics
1 answer:
Alinara [238K]3 years ago
6 0

Answer:

17

Step-by-step explanation:

429-4=425

425÷25=17

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Sonbull [250]

ANSWER

D. rotation, translation, reflection

EXPLANATION

Dilation is not a rigid motion.

When the triangle is dilated the image triangle may become bigger ( magnification) or smaller (reduction).

When the scale factor is negative 1, a congruent triangle is obtained.

Hence dilation will not always produce a congruent triangle.

Rotation, reflection and translation are rigid motions and hence will always produce a congruent triangle.

8 0
3 years ago
3.
sergeinik [125]

Answer:

14.11

Step-by-step explanation:

.83*16.5=14.11

8 0
3 years ago
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A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 6t, where t represents t
Neko [114]

Answer:

A)   A[p(t)] = 36πt²

B)   7234.56 square units

Step-by-step explanation:

               

<u>Given functions</u>:

\begin{cases}p(t)=6t \\ A(p)=\pi p^2 \end{cases}

<u>Part A</u>

To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):

\begin{aligned}A(p) & = \pi p^2\\\\ \implies A[p(t)] & = \pi [p(t)]^2\\& = \pi (6t)^2\\& = \pi 6^2 t^2\\& = 36\pi t^2\end{aligned}

<u>Part B</u>

Given

  • t = 8 minutes
  • π = 3.14

Substitute the given values into the equation for A[p(t)} found in part A:

\begin{aligned}A[p(8)] & = 36\pi t^2\\& = 36 \cdot 3.14 \cdot 8^2\\& = 36 \cdot 3.14 \cdot 64\\& = 113.04 \cdot 64\\& = 7234.56\:\: \sf square\:units\end{aligned}

Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.

4 0
2 years ago
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A customer calculated the cost of a new jacket, c, including a 7% sales
netineya [11]
We can put it into one step by multiplying the cost by 1.07 which basically takes into account the old cost of the jacket and the tax

the expression is
original amount * decimal multiplier (1.07) = new amount
3 0
3 years ago
Rebecca had these results when she drew 10 tiles from the bag. The bag has a total of 20 tiles. Her classmates got similar resul
7nadin3 [17]

Answer: 15 green 5 red

Step-by-step explanation:

if its less likely to pull red than green you would to chose the lowest amount

8 0
2 years ago
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