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mario62 [17]
2 years ago
9

If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true? A. x + 12 ≤ 2(5 − y) B. x + 12 ≤ 2x − 3 C. x + 12 ≤ 2(x −

3) D. x + 12 ≤ y − 5
Mathematics
2 answers:
anyanavicka [17]2 years ago
7 0

Answer: The correct option is,

C. x + 12 ≤ 2(x − 3)

Step-by-step explanation:

Given inequalities,

x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3)

Let a = x + 12, b = 5 - y and c = 2(x-3)

Here, a ≤ b and b ≤ c

Since, by using the transitive property of inequality,

⇒ a ≤ c

⇒ x + 12 ≤ 2(x − 3)

Therefore, OPTION C is correct.

Angelina_Jolie [31]2 years ago
6 0

Answer: C

Step-by-step explanation:

Trust me I been there

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Doris ran 2.5 kilometers, then sprinted 300 meters and finally walked 1 4 of the distance she sprinted. How many meters did she
mr Goodwill [35]

Answer:

She traveled a total of 2875 metres during practice.

Step-by-step explanation:

Doris ran 2.5 kilometres, then sprinted 300 meters and finally walked 1/4 of the distance she sprinted.

To find the total distance that she traveled, we simply add the distance that she ran, sprinted and walked.

We will convert all distances to metres.

She ran 2.5 kilometres:

1 km = 1000 m

2.5 km = 2.5 * 1000 = 2500 m

So, she ran 2500 m.

She sprinted 300 m.

Se walked 1/4 the distance that she sprinted:

1/4 * 300 = 75 m

She walked 75 m.

Therefore, the total distance she traveled is:

2500 + 300 + 75 = 2875 m

She traveled a total of 2875 metres during practice.

5 0
2 years ago
Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 pe
timofeeve [1]

A,B,C,D i.e. all statements are true!

<u>Step-by-step explanation:</u>

According to question, Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 per week to cover her expenses. The inequality for above scenario will be :

15x + 10y\geq 300 where, x is number of necklaces & y is number of bangles.

A.

Lynn will meet her goal if she sells 12 bangles and 12 necklaces. i.e. x=12 and y=12 , putting values inequality : 15(12) + 10(12)  = 300 which follows inequality . True statement!

B.

Lynn will meet her goal if she sells 20 bangles and 6 necklaces.

putting values inequality : 15(6) + 10(20) = 290 which follows inequality . True statement!

C.

Lynn will meet her goal if she sells 6 bangles and 12 necklaces. putting values inequality : 15(12) + 10(6) = 240, which follows inequality . True statement!

D.

Lynn will meet her goal if she sells 2 bangles and 18 necklaces.putting values inequality : 15(18) + 10(2)=290, which follows inequality . True statement!

7 0
2 years ago
Read 2 more answers
There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using d
soldier1979 [14.2K]
I believe the equation would be
160+0.2y

Because 160 deer and you round the 20% into a decimal point.
3 0
2 years ago
Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were blac
geniusboy [140]

Answer: C. He used too few trials for the sample space.


Step-by-step explanation:

Given: Josh used a standard deck of 52 cards to conduct an experiment.

As half of the cards in the deck were red.

If we take sample space= 52 cards

Then probability of getting a red card=\frac{1}{2}

But Josh took 8 cards as sample space which is not enough for the sample space.

therefore, C. is the right answer. "He used too few trials for the sample space."


8 0
1 year ago
Read 2 more answers
Last year Beth's annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biwee
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Answer:

Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.

38,350 / 26 = her salary from last year per check.

46,462 / 26 = her new salary per check

(46,462 - 38,350) / 26 = the difference per week

8 0
1 year ago
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