MATHEMATICS COLLEGE

Which is the solution to the system of equations?y = 1/8x - 1
-5x + 4y = -13
A. (0, -1)
B. (8,0)
C. (1, -7/8)
D. (2, -3/4)

Answers

Answer 1

Answer:

Answer:

D. (2, -3/4)

Step-by-step explanation:

Using the substitution method:

-5x+4(1/8x-1)=-13

-5x+0.5x-4=-13

-4.5x/4.5=-9/4.5

-x=-2

x=2

You are supposed to replace 2 in the first equation now but as there is no other option with x value of 2 D is the answer.

If continued:

-5(2)+4y=-13

-10+4y=-13

4y=-3

y=-3/4

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Solve the inequality for x. –8x + 16 > –72

Answers

Answer:

x>11

Step-by-step explanation:

x needs to be alone so subtract 16 on both sides, making the equation -8x > -88, next simply make x positive amd alone by dividing -8 on both sides, ending in the result of × > 11

Brand X batteries have a mean life span of 102 hours, with a standard deviation of 6.8 hours. Brand Y batteries have a mean life span of 100 hours, with a standard deviation of 1.4 hours. Complete each of the sentences.

Answers

Answer:

Step-by-step explanation:

Hello!

X₁: Life span of a battery of Brand X

X₁~N(μ₁;σ₁²)

μ₁= 102hours

σ₁= 6.8hours

X₂: Life span of a battery of Brand Y

X₂~N(μ₂;σ²)

μ₂= 100hours

σ₂= 1.4hours

To complete the first two sentences, you have to use the empirical rule:

μ±δ= 68% of the distribution

μ±2δ= 95% of the distribution

μ±3δ= 99% of the distribution

1. About 68% of brand x’s batteries have a lifespan between 95.2 and 108.8 hours.

μ₁±σ₁= 102 ± 6.8= 95.2; 108.8

2. About 68% of brand y’s batteries have a lifespan between 98.6 and 101.4 hours.

μ₂±σ₂= 100 ± 1.4= 98.6; 101.4

3. The life span of brand Y ’s battery is more likely to be consistently close to the mean.

The standard deviations show you the dispersion of the distribution. A low standard deviation indicates that the values are close to the mean. A high standard deviation indicates that the values are further away the values are from the mean.

The standard deviation for the X batteries is σ₁= 6.8hours and the Y batteries are σ₂= 1.4hours since the standard deviation for the Y batteries is less than the standard deviation for the X batteries, you'd expect that the life span of the Y batteries will be closer to the mean than the life span of the X batteries.

I hope it helps!

omar has 5 liters of water he divides the water evenly between 4 buckets. how many milliters does omar pour in each bucket

Answers

Final answer:

Omar pours 1,250 milliliters of water into each of the 4 buckets after converting 5 liters to milliliters and then dividing by the number of buckets.

Explanation:

Omar has 5 liters of water which he wishes to divide evenly between 4 buckets. To find out how many milliliters of water he pours into each bucket, we need to follow two steps: convert liters to milliliters and then divide that amount by the number of buckets.

First, we convert 5 liters of water to milliliters. Since there are 1,000 milliliters in 1 liter, we can multiply:

5 liters × 1,000 = 5,000 milliliters

Next, we divide the total milliliters by the number of buckets:

5,000 milliliters ÷ 4 buckets = 1,250 milliliters per bucket

Therefore, Omar pours 1,250 milliliters of water into each of the 4 buckets.

Learn more about Unit Conversion here:

brainly.com/question/19420601

#SPJ2

Answer:

1250 milliliters

Step-by-step explanation:

Omar has 5 liters of water. He divides evenly between 4 buckets.

5/4 = 1.25

He pours 1.25 liters in each bucket.

Convert 1.25 liters into milliters.

1.25 × 1000

1250 milliliters.

Omar pours 1250 milliliters in each bucket.

I have a algebraic problem
7277+x=10245

Answers

Answer:

x =2968

Step-by-step explanation:

7277+x=10245

Subtract 7277 from each side

7277-7277+x=10245-7277

x =2968

Answer:

x = 2968

Step-by-step explanation:

7277 + x = 10245

-7277 -7277 (Subtract 7277 from both sides to leave x by itself)

_____________

x = 2968

Could you give brainliest

3. Dan's credit card was lost on a vacation. He immediately reported it missing. The person who found it days later used it, and charged $x worth of merchandise on the card, where x > $200. How much of the $x is Dan responsible for paying?

Answers

The question is an illustration of the Truth in Lending Act, and Dan is responsible for paying $0

Truth in Lending Act

The Truth in Lending Act is simply an act that protects people from unfair charges on their credit cards, especially in case of theft and card misplacement.

The scenarios

From the question, we have the following scenarios

His card got lost
He reported
Someone else saw the card and purchased goods worth over $200

Because Dan reported when his card got lost, he is protected by the Truth in Lending Act (TILA).

Hence, Dan is responsible for paying $0

Read more about the Truth in Lending Act at

brainly.com/question/1979208

Final answer:

Dan is not responsible for any of the unauthorized charges made on his lost credit card, as he reported it as lost immediately. The maximum amount he could legally be held liable for, per the Fair Credit Billing Act, is $50.

Explanation:

In a scenario where Dan's credit card is lost and reported missing, the responsibility for charged dollars rests on the card issuer, not on Dan. According to the Fair Credit Billing Act (FCBA), the legal limit he's responsible for is $50. However, given that Dan reported the card as lost immediately, he should not be held responsible for any unauthorized charges made.