Two batches of soup will serve 8 people. Lonnie needs to make enough soup for 120 people. If the recipe calls for 2 onions for one batch, how many onions will Lonnie need?

Answers

Answer 1

Answer: "2 batches of soup will serve    8 people."
Then x batches of soup will serve 120 people
120.2 = 8.x
x = 30 batches of soup will serve 120 people.

"2 onions for    1 batch"
Then y onions for 30 batches
30.2 = 1.y
y = 60 onions

Answer 2

Answer: 2 batches - 8 people
2 onions - 1 batch
x onions- 120 people
From proportion
y batches-120 people
2batches - 8 people
after cross multiplication
120/8=15*2=30 batches
x onions - 30 batches
2 onions- 1 batches
30 batches *2=60 onions

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The steps below show the incomplete solution to find the value of x for the equation 7x + 8 − 3x = −6 + 10:

Step 1: 7x + 8 − 3x = −6 + 10
Step 2: 7x + 8 − 3x = 4
Step 3: 4x + 8 = 4

Which of these is most likely the next step?

4x = 12
4x = 4
4x = −4
4x = −12

Answers

Step 3: 4x+8=4
Step 4: 4x=4-8 ⇒4x=-4

Answer: Step 4: 4x=-4

Step 5: x=-4/4=1

Answer:

The answer is C. 4x = −4

Hope This Helps!

The function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens. Find and interpret C(0), C(2) and C(4)

Answers

Answer:

Step-by-step explanation:

Given the function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens, we are to interpret C(0), C(2) and C(4).

For C(0), we are to substitute x = 0 into the given function;

C(0) = 0²+78(0)+29

C(0) = 0+0+29

C(0) = 29

Since the cost C(x) is in hundreds of dollars, C(0) = 2900

C(0) means that the cost of producing 0 thousand pen is $2,900

For C(2), we are to substitute x = 2 into the given function;

C(2) = 2²+78(2)+29

C(2) = 4+156+29

C(2) = 189

Since the cost C(x) is in hundreds of dollars, C(2) = 189*100 = $18900

C(2) means that the cost of producing 2 thousand pens is $18,900

For C(4), we are to substitute x = 4 into the given function;

C(4) = 4²+78(4)+29

C(4) = 16+312+29

C(4) = 357

Since the cost C(4) is in hundreds of dollars, C(4) = 357

C(4) means that the cost of producing 4 thousand pens is $35,700

Final answer:

C(x) = x^2 + 78x + 29 models the cost to produce x thousand pens. Calculating C(0), C(2), and C(4), we find that C(0) = 29, C(2) = 189, and C(4) = 357. These values represent the cost in hundreds of dollars for producing 0, 2, and 4 thousand pens, respectively.

Explanation:

To find and interpret C(0), C(2), and C(4), we substitute the given values of x into the function C(x).

1.For C(0), we substitute 0 into the function C(x):

C(0) = (0)^2 + 78(0) + 29
C(0) = 0 + 0 + 29
C(0) = 29
So, C(0) = 29 hundred dollars, meaning it costs $2900 to produce 0 thousand pens.
For C(2), we substitute 2 into the function C(x):
C(2) = (2)^2 + 78(2) + 29
C(2) = 4 + 156 + 29
C(2) = 189
So, C(2) = 189 hundred dollars, meaning it costs $18,900 to
produce
2 thousand pens.
For C(4), we substitute 4 into the function C(x):
C(4) = (4)^2 + 78(4) + 29
C(4) = 16 + 312 + 29
C(4) = 357
So, C(4) = 357 hundred dollars, meaning it costs $35,700 to produce 4 thousand pens.

Learn more about Cost Function here:

brainly.com/question/31952319

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If 5x+6=10, what is the value of 10x+3?

A) 4
B) 9
C) 11
D) 20

Answers

Answer: 11

Step by step explanation:

Step 1 : solve the first equation to find the value of x

5x + 6 = 10

5x = 10 – 6

5x = 4

X = 4/5

Step 2 : Substitute the value of x in the second equation

10x + 3 = ?

10 ( 4/5) + 3

= 40 / 5 + 3

= 40 + 15 /5

= 55 / 5

= 11

$5x+6=10$
$5x=10-6$
$5x=4$
$x=4/5$

If we substitute the value of x into the second equation

$10x+3$
$10* 4/5+3$
$8+3=11$
Therefore, your solution is 11

Ms. Bennett's class has 15 students, 12 of them are athletes. What percentage of the Class are athletes.