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mote1985 [20]
2 years ago
8

Which ordered pair is the solution of the system of a linear equation? (See image)

Mathematics
1 answer:
Sindrei [870]2 years ago
4 0

Check the picture below.

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A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460. How many of each type of bill d
Andru [333]

Answer:

$10 bill = 14 and  $20 bill = 16.

Step-by-step explanation:

Given  : A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460.

To find :  How many of each type of bill does the cashier have.

Solution : We have given that

A cashier has 30 bills

Let bill of $10  = x .

Bill of $20 = y .

Money of  $10  = 10x .

Money of  $20  = 20y.

Total bill

x + y = 30-------(1)

10x + 20y = 460-----(2)

On multiplying equation 1 by 10 and subtracting from equation 2.

10x + 20 y = 460

(-)10x +(-) 10 y =  (-)300

______________

0  +  10 y = 160 .

On dividing  by 10

y  = 16 .

Plug y = 16 in equation 1

x + 16  = 30

On subtracting both sides by 16.

x = 30 - 16.

x  = 14

Therefore, $10 bill = 14 and  $20 bill = 16.

4 0
4 years ago
The equation 2x^2 -5x=-12 is rewritten in the form 2(x-p)^2 +q=0. What is the value of the q?
Ket [755]

Answer:

if i had to say i would say the answer is Q=4

i could be wrong please let me know

Step-by-step explanation:

hope this helps

7 0
4 years ago
A set of 10 cards consists of 5 red cards and 5 black cards. The cards are shuffled thoroughly, and you choose one at random, ob
Nesterboy [21]

Answer:

d) The binomial distribution with n = 4 and p = 0.5

Step-by-step explanation:

They re 10 cards consisting of 5 red cards and 5 black cards which are shuffled thoroughly and choosing at random. After choosing the cards are replaced back.

The probability of choosing a red card = number of red cards / total number of cards = 5 / 10 = 0.5

The probability of choosing a black card = number of black cards / total number of cards = 5 / 10 = 0.5

Since after choosing, the cards are replaced back and shuffled making the next draw independent of the previous draw repeated four times. This is a binomial distribution with n = 4 and p = 0.5

5 0
4 years ago
What is the smallest 3-digit number of the form aaa such that it is divisible by 9? (Here, a represents a digit.)
polet [3.4K]

Answer:

If all three digits need to be the same (I assume that's what aaa means) it's 333

Step-by-step explanation:

For a number XYZ to be divisible by 9, X+Y+Z must be divisible by 9. Here's why:

X*100 + Y * 10 + Z = X + Y + Z + 99*X + 9*Y = X + Y + Z + 9(11X + Y)

So we need to find the smallest a so that a+a+a = 3a is divisible by 9. The smallest would be 0, but 000 is not a real 3-digit number. The next one is 3.

7 0
3 years ago
Find the Net Pay: $678 gross pay, Federal Withholding $132, FICA $51.87, State $43.15, Health $13.25.
forsale [732]
678 - (132 + 51.87 + 43.15 + 13.25) =
678 - 240.27 =
437.73 <== net pay
3 0
4 years ago
Read 2 more answers
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