If 2a - 8 = 4 and 3b - 8 = 10, what is the value of a + b?

Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barny

Fed [463]

Using a system of equations, it is found that:

There are 8 chickens in the yard.

There are 16 pigs in the yard.

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This question is solved using a system of equations. I am going to say that:

x is the number of chickens.

y is the number of pigs.

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A chicken has 1 head, as do a pig.
There are 24 heads.

Thus:

$x + y = 24 \rightarrow y = 24 - x$

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A chicken has 2 feet.
A pig has 4 feet.
In total, there are 80 feet.

Thus:

$2x + 4y = 80$

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Number of chicken:

Since $y = 24 - x$

$2x + 4y = 80$

$2x + 4(24 - x) = 80$

$2x + 96 - 4x = 80$

$2x = 16$

$x = \frac{16}{2}$

$x = 8$

There are 8 chickens in the yard.

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Number of pigs:

$y = 24 - x = 24 - 8 = 16$

There are 16 pigs in the yard.

A similar problem is given at brainly.com/question/24104709

8 0

3 years ago

Which of the following uses parallel construction? Select one: a. Jim likes to hunt, bike, and throwing darts. b. Mimie has to s

lana66690 [7]

Answer:

The correct answer is:

c. Joe will go running, biking and hunting

Step-by-step explanation:

Parallel construction or parallelism or parallel structure is a style used in writing a sentence, where there is a balance in phrases or clauses within one or more sentences by them having the same grammatical structure. parallelism adds elegance, clarity and symmetry to sentences. It essentially has to so with a repetition of a chosen grammatical form within a sentence.

In our example:

a. Jim likes to hunt, bike, and throwing darts. (not parallel)

Jim likes to hunt, bike, and throw darts (parallel)

The verbs, hunt, bike and throw must be in the same form (present continuous) to be parallel

b. Mimie has to study, drive her sister to the store, and enjoy herself in the garden. (not parallel).

The sentence in option b is not parallel because the other actions apart from "study" have a place where they took place; drive her sister to the store, enjoy herself in the garden, however, "study" doesn't have a place where the action occurs.

c. Jane will throw a ball, then she will mow the lawn. (not parallel)

the sentence is not parallel because there is an inconsistency in the pattern of the construct. a parallel version is:

Jane will first throw a ball, then she will mow the lawn, or

jane will throw a ball and mow the lawn.

d. Joe will go running, biking, and hunting. (parallel)

all the verbs are in the present continuous form.

6 0

3 years ago

What is the sale price on a pair of jeans that was originally priced at $29.95 if tHe discount waS 20%?

Firdavs [7]

My answer is too short

The answer is $5.99

5 0

2 years ago

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B

zvonat [6]

Answer:

18 over 100

Step-by-step explanation:

5 0

3 years ago

The physical motion of an object is modeled by the function

Ludmilka [50]

I think it’s 10.009 seconds. S=21.3t and s is given so you substitute it getting 213.2=21.3t so you divide by 21.3 to solve for t. You get 10.0093 so idk if you’d round it to 10.009 or 10.01

8 0

3 years ago