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3 years ago

Solve the absolute value equation for |r-6|=3

Mathematics

2 answers:

Volgvan3 years ago

6 0

The solutions would be 3 and 9

melamori03 [73]3 years ago

4 0

Answer:x1=3, x2=9

Step-by-step explanation:

use photomath (app) it helps a lot

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Find the value of x such that the data set has the given mean. 98, 123, 105, 114, 109, x ; mean 113 x = (Type an integer or a de

kotykmax [81]

Answer: 129

Step-by-step explanation:

the mean is the average of the data. including x, there are 6 data points

average = total/6

average = (98 + 123 + 105 +114 +109 + x) / 6

113 = (98 + 123 + 105 +114 +109 + x) / 6

113 = (549+ x) / 6

678 = 549 + x

x = 129

6 0

2 years ago

A jar contains $14.25 in quarters and dimes. There are 75 coins in the jar. Find the number of quarters in the jar.

Marianna [84]

Set up a system of equations.
d + q = 75
.1d + .25q = 14.25

Multiply the first equation by -.1 so that the "d's" will cancel.
-.1d -.1q = -7.5
.1d +.25q = 14.25
Now add the two equations together
.15q = 6.75
divide both sides by .15
q = 45
There are 45 quarters in the jar

8 0

3 years ago

I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct

Bond [772]

Given the system of equations:

$\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}$

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

$\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}$

Step 2: Substitute the expression found for x in the first equation.

$\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}$

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

$\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}$

Then, divide both sides by 15.

$\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}$

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

$\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}$

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

7 0

1 year ago

In 1925, airplane engines were cooled with water. Water freezes at a temperature of 32º Fahrenheit. Average winter low temperatu

Snezhnost [94]

Answer:

From November to March, the temperature in Alaska is between 0°F/-18°C and -30°F/-35°C, which is very cold. May and September are both often the driest and the wettest months in Alaska's summer.

I hope this helps you

5 0

2 years ago

MATH PLEASE HELP

Rom4ik [11]

Answer:

y=6x+8 I think I'm not shure about that.

8 0

2 years ago