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Lady bird [3.3K]
3 years ago
10

30 points! Since there are a few questions please help.

Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

black socks = 36

total socks 48

apple's = 6

strawberry sweets = 72

2nd class = 24

total stamps = 42

Dylan = 75

total student 1900

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1) Solve the following system of equations algebraically. Give your solution as two
Bad White [126]

For this case we have the following system of equations:

y = x ^ 2 + 7x + 12\\y = 2x + 8

Equating both equations we have:

x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

4 + 1 = 5\\4 * 1 = 4

Then, the factorized equation is of the form:

(x + 4) (x + 1) = 0

Thus, the solutions are:

x_ {1} = - 4\\x_ {2} = - 1

We look for solutions for the variable "y":

y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6

Thus, the system solutions are given by:(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

ANswer:

(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

8 0
3 years ago
1. The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag a
lapo4ka [179]

Answer:

Option d :18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given :  The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality : 2.5x+4y\leq 60

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

2.5(10)+4(2)\leq 60

25+8\leq 60

33\leq 60

Hence it is correct.

Option b : 20 bags of chips and 2 jars of salsa

so, x = 20 and y =2

Putting values in inequality

2.5(20)+4(2)\leq 60

50+8\leq 60

58\leq 60

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

2.5(14)+4(5)\leq 60

35+20\leq 60

55\leq 60

Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

2.5(18)+4(6)\leq 60

45+24\leq 60

69\geq 60

Hence it is not correct since it violates the inequality

4 0
3 years ago
Read 2 more answers
Write an equation of the line passing through the point (3, -1) and parallel to the line y=2/3x - 5. Show work
alex41 [277]

Answer:

The answer is: y = 2/3x - 3

Step-by-step explanation:

Given point: (3, -1)

Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.

Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:

y - y1 = m(x - x1)

y - (-1) = 2/3(x - 3)

y + 1 = 2/3x - 6/3

y + 1 = 2/3x - 2

y = 2/3x - 3

Proof:

f(3) = 2/3(3) - 3

= 6/3 - 3

= 2 - 3

= -1, giving the point (3, -1)

Hope this helps! Have an Awesome Day!!  :-)

6 0
3 years ago
Please explain step by step for 0.67÷0.3=?
pentagon [3]
Multiply each of the numbers by a ten to a power that they both become whole numbers.

0.67 * 10^2 = 67
0.3 * 10^2 = 30

Divide as usual.

67 / 30 = 2 \frac{1}{3}

So, the answer is 2 1/3.
3 0
3 years ago
Simplify. I'm don't know how to type it so I am going to take a picture.​
Vesnalui [34]

Answer:2/1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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