Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh

Answers

Answer 1
Answer: The answer is:
Justin weighs 165 pounds.
Greg weighs 180 pounds.


If:
j - Justin's weight
g - Greg's weight

Then the system of equations is:
j + 15 = g              ⇒ g = j + 15
1/2g = j - 75          ⇒ j = 1/2g + 75

We can replace j in the first equation:
g = 1/2g + 75 + 15
g - 1/2g = 90
1/2g = 90
⇒ g = 90 ÷ 1/2 = 180

Thus, Greg weighs 180 pounds.

Now, using the first equation, we will calculate Justin's weight:
j + 15 = g                    ⇒ j = g - 15
g = 180

Thus 
j = g - 15 = 180 - 15 = 165

Therefore, Justin weighs 165 pounds.

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Montel sold 13 popcorn buckets and 13 fruit baskets for a fundraiser. The fruit baskets cost $20.75 each. If Montel raised a total of $468.00, how much did each popcorn bucket cost?

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 33 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 ​seconds? At that​ time, which elevator is​ deeper?

Answers

Answer:

The position of the equipment elevator is 180 feet deep

The position of the miner's elevator is 156 feet deep

The equipment elevator is deeper.

Step-by-step explanation:

From the question,

For the equipment elevator

Velocity (v) = 4 feet/second

and for the miner's elevator,

Velocity (v) = 13 feet/second

To determine the position of each elevator, the position can be related to the distance covered.

From

Velocity = Distance / Time

Distance = Velocity × Time

Now, from the question,

The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.

Now, for the equipment elevator

Velocity = 4 feet/second

Time = (33 + 12 seconds) = 45 seconds

From

Distance = Velocity × Time

Distance = 4 × 45

Distance = 180 feet

The position of the equipment elevator is 180 feet deep

For the miner's elevator,

Velocity = 13 feet/second

Time = 12 seconds

Also, from

Distance = Velocity × Time

Distance = 13 × 12

Distance = 156 feet

The position of the miner's elevator is 156 feet deep

Hence, the equipment elevator is deeper.

Let ​ x^2−12x=61 .​ What values make an equivalent number sentence after completing the square? Enter your answers in the boxes. HELP PLEASE

Answers

Complete the square:

x^2 - 12x + (-6)^2 - (-6)^2 = 61, or
      (x-6)^2            -36       = 61, or

x-6 = plus or minus sqrt(97), or

x = 6 plus or minus sqrt(97)
A=1 , b=-12 , c=61. B^2-(4 •a•c) = d
-12^2-(4•1•61)= d
X= (-b-sqr (d) ) / 2a or x=(-b+sqr (d) )/2a

Jake mowed 216 sq.yd. of lawn in 3 hr. Ricky mowed 108 sq.yd. of lawn in 2 hr.Can you fill in the values for Ricky?



Ricky’s square yards mowed:

Ricky’s time (hr.):

Answers

Final answer:

To find Ricky's values, set up a proportion and solve for Ricky's square yards mowed and time.

Explanation:

To find the values for Ricky, we can use a proportion. Since Jake mowed 216 sq.yd. in 3 hr, we can set up the proportion as 216/3 = Ricky's square yards mowed/2. To solve for Ricky's square yards mowed, we can cross multiply and divide: 216 * 2 = 3 * Ricky's square yards mowed. Therefore, Ricky's square yards mowed = 432 sq.yd. Next, we can find Ricky's time by setting up another proportion: 216/3 = 432/Ricky's time. Cross multiplying and dividing gives us Ricky's time = 6 hr.

Learn more about Proportion here:

brainly.com/question/32430980

#SPJ3

Answer:

108 Square Yards

2 Hours

Step-by-step explanation:

PLEASE MARK BRAINLIEST

All you do is look at the question and it says he mowed 108 square yards in 2 hours.

A security system sales manager conducts a survey that includes this question. Pick the best description of this survey question.Due to the recent increase in burglaries, how likely are you to install our security system?


A. The survey question is worded in a way that doesn’t introduce bias.


B. It should be reworded as a “yes or no” question to avoid bias.


C. This is a sensitive question because it relates to privacy and security.


D. It influences the respondent to say they are likely to install the security system.

Answers

Answer:

D. It influences the respondent to say they are likely to install the security system.

Step-by-step explanation:

Mentioning the recent influx of burglaries is a tactic to scare people into installing their security system.


Which conjunction or disjunction is equivalent to |t – 7| > 12?A.
t – 7 > 12 or t – 7 < –12
B.
t – 7 < 12 and t – 7 > –12
C.
t – 7 < 12 or t – 7 > –12
D.
t – 7 > 12 and t – 7 < –12

Answers

|t-7| > 12\ \ \ \Leftrightarrow\ \ \ (t-7>12\ \ \ \ \ or\ \ \ \ \ -(t-7)>12)\ /\cdot (-1)\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ t-7>12\ \ \ \ \ or\ \ \ \ \ \ \ \ \ \ \ t-7<-12\n\nAns.\ A

The price of a plane ticket has increased from $150 to $200. By what percent has the price increased?A) 15%
B) 25%
C) 33%
D) 50%

Answers

It is 33% because that is a third. A third of 150 is 50 and it has increased by 50 to get to 200.