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Lemur [1.5K]
4 years ago
5

There are 28 horses and sheep in a field. There are 6 times as many sheep as horses. Wright and solve a system of linear equatio

ns to find the number of horses in a number of sheep
Mathematics
1 answer:
olya-2409 [2.1K]4 years ago
6 0
Let h be horses
let s be sheep

h + s = 28
6s = h

plug h into eq’n one

(6s) + s = 28
7s = 28
s = 4

plug s into eq’n 2

6(4) = h
24 = h

therefore there are 24 horses and 4 sheep
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You buy two types of fish at the local market. You need 1.5 pounds of tilapia and
Mila [183]

Answer:

$9.35

Step-by-step explanation:

Tilapia: 1.5 * $3.88 = $5.82

Cod: 1 * 3.53 = $3.53

$3.53 + $5.82 = $9.35

6 0
3 years ago
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Roger served 5/8 pound of cracker wich was 2/3 of the entire box what was the weight of the crackers originally in the box
horrorfan [7]
Answer:
original weight of the box = 15 / 16 pounds

Explanation:
Assume that the original amount in the box is x.
We are given that:
5/8 pounds represent 2/3 of the total amount (x).
This can be translated into the following equation:
(2/3) x = 5 / 8

Now, we will solve for x as follows:
(2/3) x = 5 / 8
Multiply both sides by 24 to get rid of the denominators as follows:
(2/3) x * 24 = (5 / 8) * 24
16 x = 15
Divide both sides by 16 to isolate the x as follows:
x = 15 / 16 pounds

Hope this helps :)

8 0
4 years ago
7x+6>or equal to -(x-6)
WINSTONCH [101]

Answer:

x≥ 0

Step-by-step explanation:

7x+6 ≥ -(x-6)

Distribute the minus sign

7x+6 ≥ -x+6

Add x to each side

7x+x+6 ≥ -x+x+6

8x+6 ≥ 6

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8x+6-6 ≥ 6

8x≥ 0

Divide by 8

8x/8≥ 0/8

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3 0
3 years ago
Henry buys a large boat for the summer, however he cannot pay the full amount of $32,000 at
Anna007 [38]

Answer:

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

Step-by-step explanation:

Loan payment per month=Amount to pay÷discount factor

Mathematically  P=A÷D

where D is the discount factor calculated using the formula;

\frac{(1+i)^n-1}{i(1+i)^n}

where i=periodic interest rate=annual rate divided by number of payment periods

A is the amount to pay after downpayment

P is the loan monthly payment amount

n=number of periodic payments=payments per year times number of years

⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments

Given;

Cost of boat=$32000

Down payment=$14000

Loan to pay=$32000-$14000=$18000

Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458

Periodic payments, n=4×12=48

Finding the discount factor D;

D=\frac{(1+i)^n-1}{i(1+i)^n} \\\\\\D=\frac{(1+0.00458)^{48} -1}{0.00458(1+0.00458)^{48} } \\\\\\D=\frac{1.2455-1}{0.005703} \\\\\\D=\frac{0.2455}{0.005703} =43.05

To get the amount to pay monthly divide the loan to pay with the discount factor

=\frac{18000}{43.05} =418.14

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

8 0
3 years ago
$123.74856 rounded to the nearest cent would be?
Airida [17]
$123.75 you would round all of them to the nearest hundreth
3 0
3 years ago
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