Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20

Answer:

x = 1/3

There is one solution

Step-by-step explanation:

3x -1= 1-3x

Add 3x to each side

3x+3x -1= 1-3x+3x

6x-1 =1

Add 1 to each ide

6x-1+1 = 1+1

6x =2

Divide each side by 6

6x/6 = 2/6

x = 1/3

There is one solution

Answer:

x = [tex]\frac{1}{3}[/tex] One solution

Step-by-step explanation:

3x - 1 = 1 - 3x

Add 1 to both sides;

3x = 2 - 3x

Add 3x to both sides;

6x = 2

Divide both sides by 6;

x = [tex]\frac{2}{6}= \frac{1}{3}[/tex]

One solution

Answer:

Its 16

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

n -2 is 1/16

1/16

1/n^2 is 1/16

Answer: B) X = 5

Step-by-step explanation:

You need to get x by itself to find the solution, that means adding/subtracting anything around it first which is 9.

your new equation would be -2x = -10

to get x completely alone, divide it by -2 and divide the other side, it makes x = 1 which is how to solve for it, when you divide -10 by it you get the answer of x = (B) 5

Answer:

B. 5x+3y=325

Step-by-step explanation:

the total value of the strawberries and blueberries sold is equal to 325. we have to multiple the variable for each fruit with the amount its sold for in order to get this equation.

Answer:

The coordinates of B are (-8,-4)

Step-by-step explanation:

Midpoint of a segment

Given points A(xa,ya) and B(xb,yb), the coordinates of the midpoint M can be found knowing that:

[tex]\overline{AM}=\overline{MB}[/tex]

Applying that relation in both axes separately, we can write:

[tex]x_A-x_M=x_M-x_B[/tex]

[tex]y_A-y_M=y_M-y_B[/tex]

Knowing the coordinates of the midpoint and A, we can find the coordinates of the other extreme B solving both equations for the required variable:

[tex]x_B=2x_M-x_A[/tex]

[tex]y_B=2y_M-y_A[/tex]

Plugging in the known values:

[tex]x_B=2(-6)-(-4)=-12+4=-8[/tex]

[tex]y_B=2(-6)-(-8)=-12+8=-4[/tex]

The coordinates of B are (-8,-4)

Answer:

N(-4, 1)

Step-by-step explanation:

Counterclockwise means anti clockwise.

Now, when rotated by 90° about the origin, the point N will be in the second quadrant starting clockwise from the 0 - 90° quadrant

When it's rotated counterclockwise by another 90°, it will be at the first quadrant starting clockwise from the 0 - 90° quadrant

When it's rotated another 90°, it will be located in the 4th quadrant starting clockwise from the 0 - 90° quadrant.

Thus, after 270° N will be in the 4th quadrant starting clockwise from the 0 - 90° quadrant.

Therefore, the coordinates of N at that point will be;

On x - axis: -4 units

On y - axis: 1 unit

Thus coordinates are;

N(-4, 1)

Answer:

-4x -y :)

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting temperature = - 5°F

Temperature at midday =increase in temperature by 78°F = (starting temperature + 78°F)

Temperature at nightfall = decrease in temperature by 32°F = ( temperature at midday - 32°F)

Temperature at midday:

(-5°F + 78°F) = 73°F

Temperature at nightfall:

(Temperature at midday - 32°F)

(73°F - 32°F) = 41°F

Answer:

Equation: 3x +10=24

x= 4.6

Step-by-step explanation:

3x+10=24 (-10 on both sides of equation)

3x=14 (divide both sides by 3)

x=4.666 or 4.6 with the repeating symbol above the six

Answer:

16

Step-by-step explanation:

H = (-16) × (1-2)2 + 64

=(-16) × (1-4) + 64

=(-16) × 3 + 64

=(-48) + 64

=16

Answer:

Complentary = angle add up to 90 degrees

let smaller angle = x

x+2x=90

3x=90

x=30

-----

30 is the measure of the smaller angle.

Answer:

as in a decimal? or a regular number?

Step-by-step explanation:

456.70 i think

Answer:

24

Step-by-step explanation:

Divide the amount of time (5) by the amount being made (85)

Then Multiply it by the new number and pages made (408)

It comes out to be 24

Answer:

Step-by-step explanation:

Region represented by the inequality y ≥ 2 will be the area above the dark line y = 2.

Equation of the other line is,

3.5x + 2y ≤ 20

2y ≤ 20 - 3.5x

y ≤ -1.75x + 20

Shaded region representing the solution of the inequality will be below the solid line y ≤ -1.75x + 20.

Therefore, solution of the system of inequalities will be the common region of both the colors in the graph attached.

Graph of the question will not represent the solution of the system of inequalities.

Answer:

The blue line should be solid because the inequality has “or equal to.” The green shading should be on the other side of the blue line. The blue line should be part of the solution set.

Step-by-step explanation:

this is the sample answer you will get it right

Answer:

x=6.5

Step-by-step explanation:

5+1=6

39 divided by 6 equals 6.5.

Could I please have BRAINLIEST.

Answer:

9/1

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Given that 2x + 3y = 12 , then

(2x + 3y)² = 12² = 144 ← distribute left side using FOIL

4x² + 12xy + 9y² = 144 ( subtract 12xy from both sides )

4x² + 9y² = 144 - 12xy = 144 - 12(6) = 144 - 72 = 72

Answer: X = -7

Step-by-step explanation:

the number is represented as X

6x + 10 = 4x - 4

solve your equation by subtracting 10 on both sides to make -4 -14

6x = 4x - 14

subtract 4x on both sides to get 2x

2x = -14

divide -14 by 2x

x = -7

Check it by plugging it in the equation

-42 + 10 = -28 - 4

-32 = -32

Answer:

-7

Answer:

f(7)=112

Step-by-step explanation:

f(7)=[tex]-x^{2}[/tex]+9x

f(7)=[tex]-7^{2}[/tex]+9(7)

f(7)=49+63

f(7)=112

Answer: 4 hours

Step-by-step explanation: Add up 4 + 3 and then divide that number into 28.

28/7 = 4

Hi there!

[tex]\large\boxed{5}[/tex]

Find the midpoint using the midpoint formula:

m = (p1 + p2) / 2

m = (-2 + 12) / 2

m = 10 / 2

m = 5.

Answer:

Upper bound for distance = 100.49. This is the highest number that you can round up to get 10.52.

Lower bound for time = 10.515 seconds. This is the lowest number that you can round up to get 10.52.

Upper bound for average speed = Upper bound for distance divided by upper bound for time.

100.49/10.5249 = 9.548 seconds.

Lower bound for average speed = Lower bound for distance divided by lower bound for time.

99.5 / 10.515 = 9.463 seconds.

Step-by-step explanation:

Hope this helps you out.

The upper bound for the distance of 100 metres is 100.4 meters.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Given:

Kelly runs a distance of 100 metres in a time of 10.52 seconds.

The upper bound represents the highest number, to which round off can be done to the nearest unit.

We have distance of 100 metres

So, the upper bound for the distance is 100.4 meters.

Hence, the upper bound for the distance is 100.4 meters.

Learn more about rounding off here:

https://brainly.com/question/13391706

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Answer:

The answer is

[tex] \frac{1}{3} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,4) and (5, 3).

The slope is

[tex]m = \frac{3 - 4}{5 - 8} = \frac{ - 1}{ - 3} = \frac{1}{3} \\ [/tex]

We have the final answer as

[tex] \frac{1}{3} \\ [/tex]

Hope this helps you

Step-by-step explanation:

Hey there!

Here;

The given coordinates are(8,4) and (5,3).

Use slope formulae.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{3 - 4}{5 - 8} [/tex]

Simplify it to get answer.

[tex]m = \frac{ - 1}{-3} [/tex]

Therefore the slope is, 1/3.

Hope it helps....

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

34$

Step-by-step explanation:

3x +15 =117

3x=117 - 15

3x=102

x=102 :3

x=34 $cost a pair of pants

23π / 6 radians is equivalent to the 690-degrees.

To convert degrees to radians, we use the formula:

radians = degrees × π / 180

Therefore, for 690 degrees:

radians = 690 × π / 180

Simplifying this expression:

radians = 23π / 6

Therefore, 690 degrees is equivalent to 23π / 6 radians.

Learn more about unit conversion here:

https://brainly.com/question/19420601

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Answer:

D

Step-by-step explanation:

7/10 + 2/5 + 3/4

Convert to common denominator

14/20 + 8/20 + 15/20 = 37/20

Convert to mixed number

1 17/20