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Answer: x = -2

Step-by-step explanation:

first, we move the constant to the right.

3x = -7 + 1

then, we calculate that.

3x = -6

finally, we divide both sides.

x = -2

The solution to the equation 3x - 1 = -7 is x = -2.

To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.

Here are the steps to solve it:

Step 1: Start with the given equation: 3x - 1 = -7.

Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:

3x - 1 + 1 = -7 + 1.

Simplifying, we get: 3x = -6.

Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.

We can do this by dividing both sides of the equation by 3:

(3x)/3 = (-6)/3.

Simplifying further, we have: x = -2.

Step 4: We have found the solution to the equation: x = -2.

Therefore, the solution to the equation 3x - 1 = -7 is x = -2.

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Step-by-step explanation:

By Side-Splitter Theorem,

20 / 30 = 36 / (x + 5 + 30).

Therefore (x + 5 + 30) = 54, x = 19.

Answer:

x=59

Step-by-step explanation:

hope this helped

As we know that,

Pythagoras triplet

1) a² + b² = c²

Let

[tex]\sf \: {2}^{2} + {2}^{2} = {4}^{2}[/tex]

[tex]\sf \: 4 + 4 = 16[/tex]

2) a² + b² = c²

[tex]\sf \:5 {}^{2} + {12}^{2} = {13}^{2}[/tex]

[tex]\sf \: 25 + 144 = 169[/tex]

3)a² + b² = c²

[tex]\sf {3}^{2} + {5}^{2} = {6}^{2}[/tex]

[tex]\sf 9 + 25 = 36[/tex]

4) a² + b² = c²

[tex]\sf {5}^{2} + {4}^{2} = {7}^{2}[/tex]

[tex]\sf \: 25 + 16 = 49[/tex]

Only B can be Pythagoras triplet.

The triangles of the dimensions are not similar by any property of similarity. Thus option D is correct.

Concept of similarity : Two triangles can be similar by AAA, SAS, SSS property .

Given,

Two triangles with different side lengths.

Here,

The two triangles are similar if they have same shape , but can be of different sizes and corresponding sides are of same proportions.

Here,

Triangles are of same shape but the corresponding sides are not in same proportions.

∴ 8/5 = 10/6.25 ≠  12/7

Therefore the two triangles are not similar.

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Answer:

y=1/4x+6

Step-by-step explanation:

The formula for writing a slope equation is y=mx+b. The slope is 1/4, or m, and the y-intercept is 6, or b. Don't worry about the x or y, leave them as variables.

Answer:

Salome is 29 inches tall.

Step-by-step explanation:

Each feet has 12 inches.

Salome:

Salome is 2 feet 5 inches tall.

Since each has 12 inches, 2 feet = 2*12 = 24 inches

24 + 5 = 29 inches.

So Salome is 29 inches tall.

Answer:

Hdhd

Step-by-step explanation:

Usu

Answer:

The answers are 0 and -1

Step-by-step explanation:

Answer:

0 and -1

Step-by-step explanation:

Answer:

Radius = 1.78 inches

Diameter = 3.56 inches

Circumference = 11.18 inches

Step-by-step explanation:

Area of circle = 10 inches square

[tex]\pi r^2 = 10\\r^2 = \frac{10}{3.14}\\r^2 = 3.18\\\sqrt{r^2}=\sqrt{3.18}\\r=1.78[/tex]

Radius = 1.78 inches

Diameter = 2r = 2(1.78) = 3.56 inches

Circumference = 2πr = 2*3.14*1.78 = 11.18 inches

If there's a graph, maybe I could help...?

Answer:

I would say the answer is 13.5

Step-by-step explanation:

Times 7.5 (hours) and $1.80 (dollars).

The reason why this works:

It is $1.80 per hour so if you multiply it by 7.5 the amount of hours that would make it so you'd get the answer $13.5

Answer:

3

Step-by-step explanation:

_+(-4) = -1

_-4 = -1

_ = 3

Answer:

For the first 2 for the second 3

Step-by-step explanation:

first would be 1x the second would be -1x

Answer:

2 and 3

Step-by-step explanation:

Answer:

2/3 = 16/24

7/8 = 21/24

Step-by-step explanation:

Answer:

~1467

Step-by-step explanation:

$200,000 x 8.5% or .085 = $17,000 Annualy

$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments

Answer is $1467 Rounded

The monthly interest payment is $1,467.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]

= $1,467

Therefore we can conclude that the monthly interest payment is $1,467.

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Answer:

$54.99/person

Step-by-step explanation:

Divide '26 persons' into the total cost $1,429.74:  we get $54.99/person.

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

Answer:

approx 72 feet

Step-by-step explanation:

the left and bottom sides of the quadrilateral are easy to see that their sum is 15 + 20 or 35

however, from (40, 30) to (45, 40) you can use the distance formula

d = √(y - y)² + (x - x)²

d = √10² + 5²

d = √125 which is approx 11.1

from (20, 40) to (45, 40) you get:

d = √5² + 25²

d = √650 which is approx 25.5

Answer:

∠J=85°

Step-by-step explanation:

Theory to know when answering this question:

1. The sum of the angles in a quadrilateral (shape with four sides) is 360°

2. Similar shapes have the same angles

Point 1 tells us that ∠P+∠Q+∠S+∠R=360

Point 2 tells us that ∠F=∠P, ∠G=∠Q, ∠J=∠S, and ∠H=∠R.

∴∠F+∠Q+∠J+∠R=360

109+122+∠J+44=360

∠J=360-275=85°

Answer:

The fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]

Adding both equations

[tex]-\frac{2}{3}x-y=2[/tex]

[tex]+[/tex]

[tex]\underline{\frac{2}{3}x+y=6}[/tex]

[tex]0=8[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]

0 = 8 is FALSE!

Therefore, the system of equations has no solution.

Thus,

No Solution!

Hence, the fourth option i.e. 'no solution' is correct.

Answer:

Step-by-step explanation:

There are 12 months in one year, so there would be 12*y in y years.

Answer:

there 12 months in one 1 year

Step-by-step explanation:

Answer:

Sam is 24 years old and his mother is 48 years old.

Step-by-step explanation:

Equations

Let's call

x   = Sam's current age

Since Sam's mother is twice as old as Sam:

2x = Sam's mother current age

x + 12 = Sam's age in 12 years

2x - 12 = Sam's mother age 12 years ago

These two last expressions are equal:

x + 12 = 2x - 12

Subtracting x and adding 12:

x = 24

2x = 48

Sam is 24 years old and his mother is 48 years old.

Answer:

Sam is 24 and his mom is 48

Step-by-step explanation:

Answer:

The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]

Step-by-step explanation:

Area of a rectangle:

A rectangle has length l and width w. The area of a rectangle is:

[tex]A = lw[/tex]

A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.

This means that [tex]l = 8x - 2, w = 3x - 3[/tex]

Which expression represents the area of the court?

The tennis court is rectangular, so

[tex]A = lw = (8x - 2)(3x - 3) = 24x^2 - 24x - 6x + 6 = 24x^2 - 30x + 6[/tex]

The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]

Answer:

Step-by-step explanation:

[tex]h(x)=-3x^{4} +5x^{3}-8x^{2} -3x+2[/tex]

roots:±1, ±[tex]\frac{1}{3}[/tex], ±2, ±[tex]\frac{2}{3}[/tex]

Answer: Do you mean a pie chart or a dessert pie? anyway i will answer for the pie chart

Step-by-step explanation:

pie charts are used in data handling and they are circular divided up into different segments which each represent a value or a different size

Answer:

the water to be added is 0.2 L

Step-by-step explanation:

The computation of the water to be added is given below:

The banberry amount is

= 7% of 6 Liters

= 0. 42L

Now

Let us assume the amount of water added be x L

So, the total solution is

=  6+ x L

Now percentage of banberry is

= 0.42 × 100 ÷ (6+x)

5 = 0.42 × 100 ÷ (9 + x)

9 + x = 9.2

x = 0.2 L

hence, the water to be added is 0.2 L

Answer and explanation:

Decision variables are variables that are independent(indeoendent variables) and can be controlled by the decision maker. Decision variables influence outcome or result of a solution, usually denoted x in linear programming.

Decision variables above include:

Number of Aqua-Spa Produced.

* Number of Hydro-Lux Produced.

* Number of Pumps Purchased.

* Amount of Available Labor Hours.

* Amount of Available Tubing Available