Suppose you plan to purchase 10 items that each cost 4.45. Explain how you use mental math to to find the cost of 10 items

Answers

Answer 1

Answer:

Answer:

44.5

Step-by-step explanation:

Multiplying 10 with 4.45 using mental math to find the total cost of 10 items. first multiply 0 with 445 which will yield 000, then multiply 1 with 445 which will yield 445 now put a cross beneath last 0 in 000 and write 445 before it and perform addition which will yield 4450 as the decimal was initially was before the second last digit in 4.45, place it accordingly in 4450 which will yield 44.5.

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Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m2 by increasing the width and length by the
same amount. What will be the dimensions of the new garden?

Answers

Answer: 16 m by 12 m.

Step-by-step explanation:

Given: The length of garden l = 13 m

The width of the garden w= 9 m

The area of the rectangular garden is given by :-

$\text{Area}=l* w\n\Rightarrow\text{Area}=13*9\n\Rightarrow\text{Area}=117\ m^2$

It she wants to increase the garden, the dimensions of the new garden will be (13+x) m by (9+x) m , then according to the question we have :-

$(13+x)\cdot(9+x)=192\n\Rightarrow\ 117+x^2+22x=192\n\Rightarrow\ x^2+22x=75\n\Rightarrow\ x^2+22x-75=0\n\Rightarrow\ x^2+25x-3x-75=0\n\Rightarrow\ x(x+25)-3(x+25)=0\n\Rightarrow\ (x+25)(x-3)=0\n\Rightarrow\ x=-25\ x=3$

Since, $x\neq-25$

Hence, x=3

Therefore, the dimensions of the new garden will be (13+3) m by (9+3) m=16 m by 12 m.

Stuck on this for a while not sure

Answers

Circumference of 1 table:
C = πd = 140π = 439.82 cm

Each person needs 60 cm, so divide the circumference by 60 to find the number of people who can sit at each table.
439.82/60 = 7.33

So at most 7 people can sit at each table.

7*12 = 84 so the room can only hold 84 people.

You're right

Which number is equivalent to $(3^(3) )/(4^(2) )$ A. $(27)/(8)$
B. $(27)/(16)$
C. $(9)/(8)$
D. $(9)/(16)$

Answers

B; 3x3x3= 27
4x4=16

27/16

Answer:

Step-by-step explanation:

$3^(3)$ = 3x3x3 = 27

also

$4^(2)$ = 4x4 = 16

then

$(3^(3) )/(4^(2) )$ = $(27)/(16)$

Describe how to round 3.987 to the nearest tenth.

Answers

First since you have a decimal the tenth place is to the right of the decimal. And the number in the tenths place is 9 so you look at the number 8 and since it is 5 or greater you round up one so now the 9 becomes 10 so the 9 will be the zero and the 3 becomes 4. So your number should be 4.0
Hope this helps :)

Alex is mailing an envelope that weighn0.346 pound. What is the weight of the envelope rounded to the nearest hundredth?

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Your answer would be 0.35 :)

Explain how you know which coins could be used to show 0.77 of a dollar

Answers

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