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Lana71 [14]
3 years ago
12

5 is a _______ number. prime composite

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0
Prime number
It can only divide by the number itself and 1.
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Richie and Phoebe are saving money to buy a new tv. They need at least $510 to purchase the new TV. Phoebe weeds yards and Richi
den301095 [7]

Answer:

  • 12x +9y ≥ 510
  • y ≤ 2x
  • y ≥ 25

Step-by-step explanation:

Phoebe earns 12x for her yard weeding, and Richie earns 9y for his dog walking. They want the sum of these earnings to be at least 510, so the first constraint inequality is ...

  12x +9y ≥ 510

__

Richie plans to walk no more than 2x dogs, since y is the number of dogs he walks, the second constraint is ...

  y ≤ 2x

__

Richie will walk at least 25 dogs, so ...

  y ≥ 25

6 0
3 years ago
Read 2 more answers
Help me with 16,17,18,and 19 please simpl
mixas84 [53]

Answer:

Ques 16)

We have to simplify the expression:

\dfrac{t^2}{t^2+3t-18}-(\dfrac{5t}{t^2+3t-18}-\dfrac{t-3}{t^2+3t-18})\\   \\=\dfrac{t^2}{t^2+3t-18}-(\dfrac{4t+3}{t^2+3t-18})\\  \\=\dfrac{t^2-4t-3}{t^2+3t+18}

Ques 17)

\dfrac{3w^2+7w-7}{w^2+8w+15}+\dfrac{2w^2-9w+4}{(2w^2+9w-5)(w^2-w-12)}\\  \\=\dfrac{3w^2+7w-7}{w^2+8w+15}+\dfrac{(2w-1)(w-4)}{(2w-1)(w+5)(w+3)(w-4)}\\\\=\dfrac{3w^2+7w-7}{(w+3)(w+5)}+\dfrac{1}{(w+3)(w+5)}\\\\=\dfrac{3w^2+7w-7+1}{(w+3)(w+5)}\\\\=\dfrac{(3w-2)(w+3)}{(w+5)(w+3)}\\\\=\dfrac{3w-2}{w+5}

Ques 18)

Let the blank space be denoted by the quantity 'x'.

\dfrac{x}{12a^2+8a}+\dfrac{15a^2}{12a^2+8a}=\dfrac{7a}{3a+2}\\ \\\dfrac{x+15a^2}{12a^2+8a}=\dfrac{7a}{3a+2}\\\\=\dfrac{x+15a^2}{4a(3a+2)}=\dfrac{7a}{3a+2}\\\\=\dfrac{x+15a^2}{4a}=7a\\\\x+15a^2=28a^2\\\\x=28a^2-15a^2\\\\x=13a^2

Ques 19)

Let the missing quantity be denoted by 'x'.

\dfrac{p^2+7p+2}{p^2+5p-14}-\dfrac{x}{p^2+5p-14}=\dfrac{p-1}{p-2}\\ \\\dfrac{p^2+7p+2-x}{p^2+5p-14}=\dfrac{p-1}{p-2}\\\\\dfrac{p^2+7p+2-x}{(p-2)(p+7)}=\dfrac{p-1}{p-2}\\\\p^2+7p+2-x=(p-1)(p+7)\\\\p^2+7p+2-x=p^2+6p-7\\\\x=p+9


7 0
2 years ago
I’m stuck on all of these <br> :( any help would be very appreciated
dem82 [27]

Answer:

1. 8x^3+6x^2+7

Step-by-step explanation:

8 0
3 years ago
If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance
Tomtit [17]

Answer:

a) Interest earned = $36

New Balance  = $336

b) Interest rate  = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance =  $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding interest

Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding rate

Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%

So, Interest rate  = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding time

Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding Principal

Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0
3 years ago
a farmer bought a number of pigs for $180. However, 3 of them died before he could sell the rest at a profit of 8 per pig. His t
Gre4nikov [31]

Answer:

He bought approximately 16 pigs.

Step-by-step explanation:

In order to find how many pigs the farmer had originally all you have to do is add three to amount of pigs he sold, since three of the died. In order to find how many he sold all you need to do is divide 109 by 8, since he made a profit of $8 per pig. 109 / 8 = 13.625, 13.625 + 3 = 16.625

4 0
3 years ago
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