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3 years ago

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Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound.

Which equation can be used to represent the amount of raspberries, r, in terms of apples, a? r = 4 minus two-thirds a r = 4 + two-thirds a r = 6 minus three-halves a r = 6 + three-halves a

2 answers:

ANTONII [103]3 years ago

8 0

Answer:

r = 4 -2/3 a

Step-by-step explanation:

She spent in total 24 dollars. So, you can set the equation equal to 24.

? = 24

It costs $4 per pound for apples and $6 per pound for raspberries. You could represent apples as 4a and raspberries as 6r. Put this into the equation.

4a + 6r = 24

Now set the equation equal to r. You have to get r alone on one side.

4a + 6r = 24

(4a + 6r) - 4a = (24) - 4a

6r = 24 - 4a

6r = (24 - 4a)/6

r = 4 - 4/6 a

r = 4 - 2/3 a

Ket [755]3 years ago

4 0

Answer:

r = 4- 2a/3

In the words of the problem, its r = 4 minus two-thirds a

Step-by-step explanation:

You can set up a general equation for this problem, and then solve for r to get your answer. In this case its:

4a + 6r = 24

Now move 4a to the other side by subtracting 4a from both sides:

6r = 24-4a

Finally, divide both sides by 6 to get:

r = 4- 2a/3

In the words of the problem, its r = 4 minus two-thirds a

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We will use parallelogram properties to answer our given problems.

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LM=KN and KL=MN

Upon substituting our given values we will get,

45=KN and 31=MN

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

We have been given $m\angle N=119^{o}$ , therefore $m\angle L=119^{o}$ .

We will find measure of angle K by using supplementary angles.

$m\angle N+m\angle M=180^{o}$

$119^{o}+m\angle M=180^{o}$

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Upon substituting our given values we will get,

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Upon substituting our given values we will get,

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Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

$m\angle PQR=106^{o}$

$m\angle PQS=m\angle QSR$ Alternate interior angles.

$m\angle PQS=49^{o}$

$m\angle QRS=m\angle QPS$ Opposite angles of parallelogram.

$m\angle PQR+m\angle QPS=180^{o}$

$106^{o}+m\angle QPS=180^{o}$

$m\angle QPS=180^{o}-106^{o}$

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Therefore, measure of angle QRS will 74 degrees.

$m\angle PRS=m\angle QPR$ Alternate interior angles.

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$m\angle RPS=74^{o}-m\angle QPR$

$m\angle RPS=74^{o}-35^{o}$

$m\angle RPS=39^{o}$

Now let us find measure of angle PSQ.

$m\angle PSQ=m\angle PQR-m\angle QSR$

$m\angle PSQ=106^{o}-49^{o}$

$m\angle PSQ=57^{o}$

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