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ladessa [460]
3 years ago
6

Write the system and

Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

Answer:

20 apples, 32 pears

Step-by-step explanation:

Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).

One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.

Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.

Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.

Dividing by 0.2 gives a=20.

We can sub this into either equation to get the value of p.

a+p=52, so 20+p=52, meaning p=32.

**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!

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The roots of the equation 3x²-2x-4=0 are J and K. Evaluate J² + K².
melamori03 [73]

Answer:

28/9

Step-by-step explanation:

If the roots are J and K, then:

3 (x − J) (x − K) = 0

3 (x² − (J+K)x + JK) = 0

So if we factor out the leading coefficient:

3x² − 2x − 4 = 0

3(x² − 2/3x − 4/3) = 0

The coefficient of the second term is the sum of the roots:

J + K = 2/3

And the constant is the product of the roots:

JK = -4/3

If we take the sum of the roots and square it:

(J + K)² = (2/3)²

J² + 2JK + K² = 4/9

And subtract twice the product:

J² + K² = 4/9 − 2JK

J² + K² = 4/9 − 2(-4/3)

J² + K² = 4/9 + 8/3

J² + k² = 28/9

6 0
3 years ago
How many counselors you would need for 64 campers.
allochka39001 [22]

Answer:

Step-by-step explanation:

Depends on how many groups of kids you want, say you want a counselor for every 10 kids, you can get at least 6 or 7 counselors

6 0
3 years ago
List all the factors of 27.
monitta

Answer:

The factors for 27 are 1,27,3,9

5 0
2 years ago
Read 2 more answers
Melanie buys a carrying case for her new laptop computer. The retail price is $24.50 and the sales tax is 7%. What is the amount
Stella [2.4K]
The answer $1.72. you divide $24.50 by .07 and the answer comes out to $1.715 and then you round up and have 1.72
4 0
2 years ago
A pair of pant and a t-shirt cost $25. If the pant cost $7.28 more than the shirt, how much did the pant cost?
Lena [83]
$16.14 =pants

Explanation:

$25-$7.28=17.72

17.72/2 =8.86

8.86+7.28=16.14

25-16.14=8.86 shirt

I hope that helped ..
4 0
2 years ago
Read 2 more answers
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