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hodyreva [135]
3 years ago
11

Simplify the expression: -29 - 1 - 4 - 89

Mathematics
2 answers:
Reptile [31]3 years ago
7 0

Answer:

-123

Step-by-step explanation:

-(29+1+4+89)

-(30+4+89)

-(34+89)

-123

hope this helps good luck at school :))

amm18123 years ago
6 0

Answer:

-123

Step-by-step explanation:

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The cereal box shown below is a rectangular prism.<br><br> Find the surface area of the cereal box.
MrRa [10]

Answer:

i am pretty sure the total surface area is 580

7 0
3 years ago
Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^
MrMuchimi

Answer:

- \bigg(3a -  \frac{5}{2} b) \bigg)^{2}

Step-by-step explanation:

15ab-9a^2-6  \frac{1}{4} b^2 \\  \\  = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\  \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\  \\   = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2  \\  \\ =  -  \{ - 15ab + (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2  \} \\  \\ =  -  \{ (3a)^2 +  \bigg(\frac{5}{2} b \bigg)^2 - 15ab  \} \\  \\  =   - \bigg(3a -  \frac{5}{2} b \bigg)^{2}

3 0
3 years ago
Mary and her brother John
BabaBlast [244]

let, x be the no of coins then according to question.Mary have 3x no of coins and John have x no of coins..

now, 3x+x=180

or,4x=180

or,x=180/4

therefore, x= 45

thus mary has 3×45=135 no of coins...

5 0
3 years ago
A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?
alexandr1967 [171]

Answer:

The probability that the last card dealt is an ace is \frac{1}{13}.

Step-by-step explanation:

Given : A deck of ordinary cards is shuffled and 13 cards are dealt.

To find : What is the probability that the last card dealt is an ace?

Solution :

There are total 52 cards.

The total arrangement of cards is 52!.

There is 4 ace cards in total.

Arrangement for containing ace as the 13th card is 4\times 51!.

The probability that the last card dealt is an ace is

P=\frac{4\times 51!}{52!}

P=\frac{4\times 51!}{52\times 51!}

P=\frac{4}{52}

P=\frac{1}{13}

Therefore, the probability that the last card dealt is an ace is \frac{1}{13}.

4 0
3 years ago
An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of 6m and a depth of 1.
adelina 88 [10]

Follow this as an example

An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of

10 m

and a depth of

1.4 m

. Suppose water is pumped into the pool at a rate of

11 m3

per hour. How many hours will it take to fill the empty pool?


Use the value

3.14

for

π

, and round your answer to the nearest hour. Do not round any intermediate computations.


The formula for the volume of a cylinder is  ∏r2h.  The problem gives d=10m, so r=5m.

The pool holds  (3.14)*52*1.4 m3 = 109.9 m3 of water.

At a rate of 11 m3 per hour:

            ( 109.9 m3 ) / (11 m3/hr)  = 9.990909 hr.

              rounding to the nearest hour, this is 10 hours


4 0
3 years ago
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