MATHEMATICS COLLEGE

Solve the
equation:
6x = -78

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

6x= -78 you just solve it algabraicly

  6x= -78

    /6x  /6x

    x= -13
Answer 2
Answer:

Answer:

x = 13

Step-by-step explanation:

Divide both sides of the equation by the same term

6x/6 =78/6

Simplify

Cancel terms that are in both the numerator and denominator

6x/6=78/6

x=78/6

Divide

x=78/6

x=13

Hope this helps!

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Victor collects data on the price of a dozen eggs at 8 different stores.median: $ 1.55
Find the lower quartile and upper quartile of
the data set.
lower quartile: $
upper quartile: S
?
$1.39 $1.40 $1.44 $1.50 $1.60 $1.63 $1.65 $1.80

Answers

Answer:

Lower quartile: $1.42

Upper quartile: $1.64

Step-by-step explanation:

The median is the middle value when all data values are placed in order of size.

The ordered data set is:

$1.39 $1.40 $1.44 $1.50 $1.60 $1.63 $1.65 $1.80

There are 8 data values in the data set, so this is an even data set.

Therefore, the median is the mean of the middle two values:

\implies \sf Median\;(Q_2)=(\$1.50+\$1.60)/(2)=\$1.55

Place "||" in the middle of the data set to signify where the median is:

$1.39 $1.40 $1.44 $1.50 ║ $1.60 $1.63 $1.65 $1.80

The lower quartile (Q₁) is the median of the data points to the left of the median.  As there is an even number of data points to the left of the median, the lower quartile is the mean of the the middle two values:

\implies \sf Lower\;quartile\;(Q_1)=(\$1.40+\$1.44)/(2)=\$1.42

The upper quartile (Q₃) is the median of the data points to the right of the median.  As there is an even number of data points to the right of the median, the upper quartile is the mean of the the middle two values:

\implies \sf Upper \;quartile\;(Q_1)=(\$1.63+\$1.65)/(2)=\$1.64

Answer:

to find the lower quartile and upper quartile of the given dataset, we need to first arrange the data in ascending order:

$1.39, 1.40, 1.44, 1.50, 1.60, 1.63, 1.65, 1.80$

The median of the dataset is given as $1.55$. Since there are an even number of data points, the median is the average of the two middle values, which in this case are $1.50$ and $1.60$.

Now, we need to find the lower quartile and upper quartile. The lower quartile is the median of the lower half of the data set, and the upper quartile is the median of the upper half of the data set.

The lower half of the dataset is $1.39, 1.40, 1.44, 1.50$. The median of this half is the average of the middle two values, which are $1.40$ and $1.44$.

Therefore, the lower quartile is $1.42$.

The upper half of the dataset is $1.60, 1.63, 1.65, 1.80$. The median of this half is the average of the middle two values, which are $1.63$ and $1.65$.

Therefore, the upper quartile is $1.64$.

Hence, the lower quartile of the dataset is $1.42$ and the upper quartile is $1.64$.

Two trains leave stations 288 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?

Answers

Answer:To find out how long it will take for the two trains to meet, you can use the concept of relative speed. When two objects are moving toward each other, their relative speed is the sum of their individual speeds.

In this case, one train is traveling at 85 miles per hour, and the other is traveling at 95 miles per hour. So, their relative speed is:

Relative Speed = 85 mph + 95 mph = 180 mph

Now that you know the relative speed of the two trains, you can use the formula:

Time = Distance / Speed

The distance they need to cover to meet is 288 miles, and their relative speed is 180 mph. Plug these values into the formula:

Time = 288 miles / 180 mph

Time = 1.6 hours

So, it will take 1.6 hours for the two trains to meet. To express this in minutes, you can multiply by 60:

1.6 hours * 60 minutes/hour = 96 minutes

Therefore, it will take 96 minutes for the two trains to meet.

Step-by-step explanation:

Which of the following statements are equivalent to the ratio 10:3? Choose all that apply-(5 points)
A. 28 days to 6 days
B. 120 meters to 8,000 meters
C. 2,000 pounds to 600 pounds
D. 300 seconds to 20 seconds
E. 250 cents to 75 cents
Need answer ASAP please

Answers

Answer:
C and E would be your answers
Explanation:
C is correct because If you multiple 10 by 200 you get 2,000 and then do 3 times 200 gets 600.
E is correct because if you do 10 x 25 it become 250 and if you do 3 x 25 it equals 75!!
—————
So sorry if I am wrong!!

Explain how you know 437,160 is greater than 43,716

Answers

437160 has more numbers than 43716

Answer:

Because 437,160 is greater than 43,716

:)

Step-by-step explanation:

It has more numbers and on the number line, 437,160 is greater than 43,716

Think about it this way:

Suppose a company has a profit of $437,160 this spring.

And another one has $43,716 this spring.

Now, the question is:

Which company has a larger profit?

Please mark Brainliest:)

Lydia and Adam are buildng a display of soup cans at the market where they work. the display is in the form of a square pyramid, with a base of 81 cans. They will continue making smaller layers until there is one can at the top. Adam is going to the stockroom to get the can they will need. a. How many layers will be in the display?

b. How many canse will Lydia and Adam use total?

Answers

Answer:

(a). 9 layers

(b). 285

Step-by-step explanation:

In the question,

The Square Pyramid is needed to be made from the cans.

The base of the pyramid has = 81 cans

So,

Side of the Square = s

So,

s^(2)=81\ns = 9

Therefore, the number of cans on one side of the square base = 9 cans

So,

The number of cans will be reducing by 1 in each layer upto the point we are left with only 1 can in the top.

So,

1st layer = 9 cans

2nd layer = 8 cans

3rd layer = 7 cans

4th layer = 6 cans

5th layer = 5 cans

6th layer = 4 cans

7th layer = 3 cans

8th layer = 2 cans

9th layer = 1 can

Number of layers are = 9

(b).

Total number of cans used by Lydia and Adam will be,

Sum of number of cans in all the layers.

Number\,of\,cans=9^(2)+8^(2)+7^(2)+6^(2)+5^(2)+4^(2)+3^(2)+2^(2)+1^(2)\nNumber\,of\,cans=81+64+49+36+25+16+9+4+1\nNumber\,of\,cans=285

Therefore, the number of cans = 285

P(q ÷ 3 - p ); use p = -6, and q= -3

Answers

Answer:

Step-by-step explanation:

p(q ÷ 3 - p )

p = -6

q= -3

-6(-3/3 - (-6))

-6(-1 + 6)

-6(+5)

-30
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