-4y minus 3 plus 3y equals 8 minus 2y minus 15

Joe is hiking a trail that is 30 miles long. after several days, he is two times as far from the beginning of the trail as he is

lora16 [44]

In order to answer this question let's suppose,
Joe is x miles from the beginning and y miles from the end. These assumptions are necessary to answer further:

Now,
x=2y
x+y=30
plugging in x=2y in the above equation
2y+y=30
3y=30
y=10

Hence, according to our calculations, Joe has to hike 10 miles further

5 0

3 years ago

PLEASE HELP<br> Solve. x^2+9x+2=0

Nataliya [291]

Answer:

x = (1/2) (-9 ± √73)

Step-by-step explanation:

Using completing the square method

x²+9x+2=0

x²+9x = -2 (complete the square by adding (9/2)² to both sides)

x²+9x + (9/2)² = -2 + (9/2)²

( x + (9/2) )² = -2+ (9/2)²

( x + (9/2) )² = -2+ (81/4)

( x + (9/2) )² = 73/4

x + (9/2) = ± √(73/4)

x + (9/2) = ± √(73) / 2

x = -(9/2) ± √(73) / 2 (factorize out (1/2) )

x = (1/2) (-9 ± √73)

8 0

3 years ago

Five times the sum of one-half and a number

yawa3891 [41]

5( $\frac{1}{2}$ + x) would be your answer. The 5 and the parenthesis imply multiplication, and inside the parenthesis is one-half and a number being added.)

7 0

3 years ago

2. The prices of several different cereals are given below. Find the mean, median, mode, MAD, and IQR of these values. Which mea

Maru [420]

Mean = $ 4. 72

Median = $ 4. 5

Mode = No mode

MAD = $ 4. 8

IQR = $ 0. 5

Measure of center = $ 4. 5

Measure of variability = $ 2. 50

<h3>How to determine the values</h3>

Given the data;

$3.50, $4.25, $6, $4.75, $5.80, $4

Mean = sum of data/ number of data values

Mean = $\frac{3. 50 + 4. 25 + 6 + 4. 75 + 5. 80 + 4}{6}$

Mean = $ 4. 72

Median is the number in the center when the data is arranged in an ascending order

$3. 50, $4, $4. 25, $4. 75, $5. 80, $6

Median = $\frac{4. 25 + 4. 75}{2}$

Median = $ 4. 5

Mode is the number with the highest repeats.

From the given data, none of the numbers was repeated.

Thus, there is no mode.

MAD, mean absolute deviation = |data value - mean|

MAD = $|(3. 50 - 4. 72) + (4. 25 - 4. 72) + (6 - 4. 72) + (4. 75 - 4. 72) + (5. 80 - 4.72) + (4- 4. 72) |$

MAD = $1. 22 + 0. 47 + 1. 28 + 0. 03 + 1. 08 + 0. 72$

MAD = $ 4. 8

IQR, interquartile range = Quartile 3 - quartile 1

IQR = 4. 75 - 4. 25

IQR = $0. 5

Note that the mean and median are the most common measures of center.

A measure of variability is a single number that is used to describe the spread of a data set

The measure of the center best for the data is the median = $4. 5

Measure of variability = range = highest value - lowest value = $6 - $3. 50 = $2. 50

Learn more about mean here:

brainly.com/question/20118982

#SPJ1

5 0

2 years ago

Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each b

andriy [413]

Here is the equation: $x+(x+3)=11$ ⇒ $x+x+3=11$

You need to get "x" by itself so minus 3 from each side

$x+x+3-3=11-3$ ⇒ $x+x=8$ ⇒ $2x=8$

Divide 8 by 2

$8$ ÷ $2=4$

x=4

So each 4 is equivalent to 4

Lets check:

$4+(4+3)=11$ ⇒ $4+4+3=11$ ⇒ $11=11$

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7

4 0

3 years ago