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shtirl [24]
2 years ago
6

John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70. Which inequality w

ill tell him at least how many more points he needs to pass the class
A. 72 + 78 + 70 + x < 289
B. 72 + 78 + 70 + x ≤ 289
C. 72 + 78 + 70 + x ≥ 289
D. 72 + 78 + 70 + x > 289
Mathematics
2 answers:
dedylja [7]2 years ago
8 0
Since the sum of scores must be at least 289:

72+78+70+x ≥ 289
Serjik [45]2 years ago
5 0

Answer:

C. 72+78+70+x\geq 289

Step-by-step explanation:

Let x represent the number of points John needs to pass the class.

We have been that John  must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70.

After scoring x points on John's total score would be 72+78+70+x.

Since John needs at least 289 test points to pass his math class, so the total number of points should be greater than or equal to 289.

We can represent this information in an inequality as:

72+78+70+x\geq 289

Therefore, the inequality 72+78+70+x\geq 289 represents the number of more points John needs to pass the class.

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8 0
1 year ago
James purchased five bonds of face value of $1,000 that paid 5% annual interest rate. the total annual interest income of james
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Given:
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1 year ago
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A theatre has the capacity to seat people across two levels, the Circle and
andriy [413]

Answer: 76.19\%

Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and \frac{2}{3} of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5.

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

\frac{2}{5}=\frac{528}{s}

Solving for "s", we get:

s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

Total=1,320\ seats+528\ seats=1,848\ seats

 We know that \frac{2}{3} of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

(1,320)(\frac{2}{3})=880

Therefore, the total number of seats that were occupied las Friday is:

Total\ occupied=880\ seats+528\ seats=1,408\ seats

Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

\frac{100}{1,848}=\frac{p}{1,408}

Solving for "p", we get:

(1,408)(\frac{100}{1,848})=p\\\\p=76.19\%

8 0
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Answer:

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