What is x?
3(x - 4) - 14 = 2(x - 7) + 6

Answers

Answer 1

Answer: $3(x - 4) - 14 = 2(x - 7) + 6 \n \n 3x - 12 - 14 = 2x - 14 + 6 \ / \ expand \n \n 3x - 26 = 2x - 14 + 6 \ / \ simplify \n \n 3x - 26 = 2x - 8 \ / \ simplify \n \n 3x = 2x - 8 + 26 \ / \ add \ 26 \ to \ each \ side \n \n 3x = 2x + 18 \ / \ simplify \n \n 3x - 2x = 18 \ / \ subtract \ 2x \ from \ each \ side \n \n x = 18 \ / \ simplify \n \n$

The final result is x = 18.

Answer 2

Answer: 3(x - 4) - 14 = 2(x - 7) + 6
⇒ 3x+ 3(-4) -14= 2x+ 2*7+ 6 (distributive property)
⇒ 3x -12 -14= 2x -14+ 6
⇒ 3x+ (-12 -14)= 2x+ (-14+ 6) (combine like terms)
⇒ 3x -26= 2x -8
⇒ 3x -2x= -8+ 26 (inverse operation)
⇒ x= 18

Final answer: x= 18.

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Simplify this expression.
2^5(13 +12)

Answers

Answer:

800

Step-by-step explanation:

You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800

The value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is

Answers

Answer:119

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

Consider the points A (-16, 39), B(4, 3) and C (9, -6):
Find the slope of AB.

Answers

Answer:

$(-9)/(5)$

Step-by-step explanation:

$(3-39)/(4-(-16))$ ⇒ $(-36)/(20)$ ÷ $(2)/(2)$ = $(-9)/(5)$

HELPPP 100 POINTS!Tyler belongs to a fitness club at a community centre. The graph below represents the relationship between the number of times he visited the club and his total monthly cost. What type of variation is this relationship, and what is the initial value? *

#1 Direct Variation, and initial value is 0
#2 Partial Variation, and initial value is 0
#3 Direct Variation, and initial value is 20
#4 Partial Variation, and initial value is 20

Answers

The type of variation in this relationship is direct variation, and the initial value is 20.

What is the linear relationship?

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

The given graph represents the relationship between the number of times he visited the club and his total monthly cost.

As per the given graph, we can conclude as follows:

The type of variation in this relationship is a direct variation because the points are increasing, and the initial value is 20 because the coordinate of the initial point is (0, 20).

Hence, the correct answer would be option (C).

Learn about the linear relationship here :

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Answer:

Step-by-step explanation:

To make 2 batches of nut bars, jayda needs to use 4 eggs. How many eggs are used in each batch of nut jars?

Answers

4/2=2
2 eggs are used in each batch

Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use. Each key on the student calculators is 14 millimeters wide, and each key on the demonstration calculator is 2.8 centimeters wide. If the student calculators are 252 millimeters tall, how tall is the demonstration calculator?

Answers

The height of the demonstration calculator is 504 millimeters.

To find the height of the demonstration calculator, we can use the ratio of the key widths between the student calculators and the demonstration calculator.

Let's first convert all measurements to the same unit for consistency. Since we need to find the height of the demonstration calculator, let's convert the width of the keys on the demonstration calculator to millimeters, which is the unit used for the height of the student calculator.

1 centimeter (cm) = 10 millimeters (mm)

Width of the key on the demonstration calculator =

= 2.8 cm x 10 mm/cm

= 28 mm

Now, we know the width of each key on the demonstration calculator is 28 millimeters.

We can use this information to find the height of the demonstration calculator.

The ratio of the width of the keys on the demonstration calculator to the width of the keys on the student calculator is:

= 28 mm (demonstration calculator) / 14 mm (student calculator)

Now, let's set up a proportion to find the height of the demonstration calculator (Hd):

Hd (demonstration calculator) / 252 mm (student calculator)

= 28 mm (demonstration calculator) / 14 mm (student calculator)

Hd / 252 = 28 / 14

Hd / 252 = 2

Hd = 2 x 252

Hd = 504 millimeters

So, the height of the demonstration calculator is 504 millimeters.

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Final answer:

The height of the large demonstration calculator is 50.4 cm, determined by converting measurements to the same units and using the scale factor between the student and demonstration calculators.

Explanation:

The question involves scale factor and unit conversion in mathematics. The scale factor between the student calculator buttons and the large demonstration calculator buttons is 2.8 cm (button size of large calculator) divided by 1.4 cm (button size of student calculator, which equates to 14 mm). Therefore, the scale factor is 2.

To find the height of the large calculator, we multiple the height of the student's calculator (252 mm or 25.2 cm) by the scale factor 2. Therefore, the height of the large demonstration calculator is 50.4 cm.