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irga5000 [103]
2 years ago
5

On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least

50 points on the final to earn a "B" in the class. Which inequality represents x, the number of correct multiple-choice questions, and y, the number of correct word problems, he needs to earn a "B"?
A. 4x + 8y < 50
B. 4x + 8y ≤ 50
C. 4x + 8y > 50
D. 4x + 8y ≥ 50
Mathematics
2 answers:
PolarNik [594]2 years ago
8 0
Each multiple choice is worth 4 points, and X is the number of questions he get's right. For example, he gets 3 right: 4 x 3 = 12 points in total.
The same goes for the <span>word problems. Y represent the </span><span>the number of correct answers so, for example: he gets 4 right and each one is worth 8 points: 8x4
</span> 
Since he needs to have a least 50 points, that means that he can have 50 or more than that. That can be written as: <span>≥

So, as i explained, the only possible option is D.</span>
<span> 4x + 8y ≥ 50 </span>
kupik [55]2 years ago
7 0
Answer is D.

Greater than or equal to represents AT LEAST.
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Total albums:
8 + 12 + 4 = 24

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P(First blue) = 12/20
P(Second blue) = 11/19

P(Both blue) = 12/20 x 11/19
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3 0
2 years ago
Zack has two savings accounts with the total of $9,000. He withdew 10 percent from one and 60 percent from the other to buy his
klio [65]

The remaining balances in the first and second account are $5805 and $1020 respectively.

<em><u>Explanation</u></em>

Suppose, the initial balance in the first account was  x dollar.

As the total amount in two accounts was $9000, so the <u>initial balance in the second account was</u>  (9000-x) dollar

He withdrew 10% from the first and 60% from the second account to buy the ring which cost $2175. So, the equation will be......

0.10x+0.60(9000-x)=2175\\ \\ 0.10x+5400-0.60x=2175\\ \\ -0.50x= 2175-5400= -3225\\ \\ x=\frac{-3225}{-0.50}= 6450

So, <u>the initial balance</u> in the first account was $6450 and in the second account was ($9000 - $6450)= $2550

Thus, the remaining balance in the first account = 90% of $6450 = (0.90*6450)= \$5805

and the remaining balance in the second account = 40% of $2550 = (0.40*2550)=\$1020

3 0
2 years ago
Pia’s math teacher has given five assignments this week. Pia has completed three of these and earned scores of 87, 85, and 92. W
tekilochka [14]

Answer:

The least possible score Pia can earn on the fourth assignment and still be able to finish the week with an average score of 90 on all five assignments is 86

Step-by-step explanation:

The information given are;

Pia's scores in the first three assignments = 87, 85, and 92

The question asks to find upon finishing the week's five assignments the least possible score that Pia can earn on the fourth assignment and still be able to have an average score of 90  on all five assignments

Let the least score required to have an average score of 90 on all five assignments be X

If X is the least score to obtain an average of 90 for the five assignments, then fifth assignment score, will be maximum possible score obtainable to allow the attainment of the average score of 90  which is 100, which gives;

(87 + 85 + 92 + X + 100)/5 = 90

∴ 5 × 90 = 450 = 87 + 85 + 92 + X + 100 = 364 + X

X = 450 - 364 = 86

Therefore, the least possible score Pia can earn on the fourth assignment and still be able to finish the week with an average score of 90 on all five assignments = 86.

6 0
2 years ago
Evren used 24 centimeters of tape to wrap 3 presents. How many presents would Evren be able to wrap with 112 cm of tape?
Paul [167]

Answer:

14

Step-by-step explanation:

Since we're given the conversion 24 cm for every 3 presents wrapped, we can divide our total amount of tape by this conversion, assuming a constant proportion.

Evren has 112 cm of tape. We can write the following proportion:

\frac{112}{x}=\frac{24}{3}, where x is the number of presents he can wrap with 112 cm.

Cross-multiplying, we have:

24x=336,\\x=\frac{336}{24}=\boxed{14\text{ presents}}

3 0
2 years ago
Celeste can spend no more than $30 to buy quinoa and rice. She will pay $5 per pound for quinoa and $2 per pound for rice. Which
Furkat [3]

Can you send pic of graph

Step-by-step explanation:

Pls

5 0
2 years ago
Read 2 more answers
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