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3 years ago

10

on the 5th grade class picnic, 50 students share 75 sandwiches equally. how many sandwiches does each student get.

in all diferent forms of interpret the remainder

2 answers:

Arlecino [84]3 years ago

4 0

Each student would get 1 1/2 sandwiches

Brut [27]3 years ago

4 0

Answer: Each student get $1\frac{1}{2}$ sandwich.

Step-by-step explanation:

Since we have given that

Number of sandwiches =75

Number of students = 50

As we have to divide the sandwiches equally,

So, we will use "Division Operation".

$\frac{75}{50}\\\\=\frac{3}{2}\\\\=1\frac{1}{2}\ sandwiches$

Hence, each student get $1\frac{1}{2}$ sandwich.

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Which of the following disasters is typically not covered by property

Dima020 [189]

Answer: C

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3 years ago

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

so

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

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2 years ago

Order the following numbers from least to greatest: 105, 10−99, 10−17, 1014, 10−5, 1030

neonofarm [45]

If I understood your question correctly, it should be...
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3 years ago

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Answer:

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TEA [102]

Answer:

Step-by-step explanation:

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Use how the placement of the decimal point changes when dividing by a power of 10 to help you

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2 years ago