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ArbitrLikvidat [17]

3 years ago

5

PLS HELPP WILL GIVE 70 POINTS!! How do you write a problem as an equivalent expression in standard form? Problems like 1+1 or (3

.375x - 8.9y) - (-7 5/8x - 5 2/5y)

1 answer:

dimaraw [331]3 years ago

3 0

Answer:30 • (17x + 2y)

———————————————

40

Step-by-step explanation:

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28/29 and 30 plz short explanation thanks

zzz [600]

Integers are numbers like ...-3, -2, -1, 0, 1, 2, 3... and so on. So, according to this definition, let's solve this problem:

28. We know that the product of three integers is -3. So, the statement states that we have three factor, so:

a.b.c = -3

The possible values of the factors are:

Factors are: 3, 1 and -1 in which case:

(3)(1)(-1) = -3

Factors are: -3, 1 and 1 in which case:

(-3)(1)(1) = -3

29. In this problem we know two nonzero integers, that is, they cannot be equal to zero. Thus, they must have different sign, that is, one of them must be positive and the other negative. For instance:

-9 and 2

(-9)(2) = -18, So -18 is less than -9 and 2

Another example:

1 and -8

(1)(-8) = -8, So -8 is equal to -8 and -8 is less than 1.

30. The sign of the product of two integers with the same sign is positive, that is:

(+)(+) = (+) and

(-)(-) = (+)

So, the sign of the product of three integers with the same sign are two options:

<u>Option 1.</u> The three integers are positive in which case:

(+)(+)(+) = (+), So the sign of the product is positive

<u>Option 2.</u> The three integers are negative in which case:

(-)(-)(-) = (-), So the sign of the product is negative.

This option two gives us that result because:

(-)(-) = (+) and (+)(-) = (-)

5 0

3 years ago

Determine,in each of the following cases, whether the described system is or not a group. Explain your answers. Determine what i

zheka24 [161]

Answer:

(a) Not a group

(b) Not a group

(c) Abelian group

Step-by-step explanation:

<em>In order for a system <G,*> to be a group, the following must be satisfied </em>

<em> (1) The binary operation is associative, i.e., (a*b)*c = a*(b*c) for all a,b,c in G </em>

<em>(2) There is an identity element, i.e., there is an element e such that a*e = e*a = a for all a in G </em>

<em> (3) For each a in G, there is an inverse, i.e, another element a' in G such that a*a' = a'*a = e (the identity) </em>

<em> </em>

If in addition the operation * is commutative (a*b = b*a for every a,b in G), then the group is said to be Abelian

(a)

The system <G,*> is not a group since there are no identity.

To see this, suppose there is an element e such that

a*e = a

then

a-e = a which implies e=0

It is easy to see that 0 cannot be an identity.

For example

2*0 = 2-0 = 2

Whereas

0*2 = 0-2 = -2

So 2*0 is not equal to 0*2

(b)

The system <G,*> is not a group either.

If A is a matrix 2x2 and the determinant of A det(A)=0, then the inverse of A does not exist.

(c)

The table of the operation G is showed in the attachment.

It is evident that this system is isomorphic under the identity map, to the cyclic group

$\mathbb{Z}_{5}$

the system formed by the subset of Z, {0,1,2,3,4} with the operation of addition module 5, which is an Abelian cyclic group

We conclude that the system <G,*> is Abelian.

Attachment: Table for the operation * in (c)

4 0

3 years ago

Mrs. Blake's bill at a restaurant was $42.75. She wants to leave the waiter an 18% tip. How much will she pay in all, including

svlad2 [7]

The quick way to do this is to multiply the bill by 1, mult. it again by 0.18, and then add the two results together.

Better and faster: Mult. the bill amount ($42.75) by 1.18:

1.18($42.75) = $50.45 (answer)

4 0

3 years ago

In May, the school store sells 80 erasers. In June, the store sells only 16 erasers. What is the percent of change in erasers so

lawyer [7]

Answer: 80%

Step-by-step explanation:

Since we have given that

Number of erasers sold in May = 80

Number of erasers sold in June = 16

Decrement in 1 month gap is given by

16-80=-64

So, Percentage of change in erasers sold from May to June is given by

$\frac{-64}{80}$ × 100

= -80% (Decreased 80%)

4 0

3 years ago

How do I do this equation? Need help please <br> Will mark brainliest

jenyasd209 [6]

The x (the second one) has a one in front of it so 5x *1x=5x so 5x-4 is the answer

4 0

3 years ago

Read 2 more answers