10 POINTS FOR SIMPLE QUESTIONS!

What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46?
12.5, 15.5, 16.5, 18.5

How many solutions does the equation 5x + 3x − 4 = 10 have?
Zero, One, Two, Infinitely many

What is the value of z in the equation 4(2z + 3) = 12?
−13, 12, 0, 12

What is the solution to the following equation?
5(2x − 6) + 20 = 10
9, 5, 3, 2The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:

Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13

Which of these is most likely the next step?
3x = 16, 3x = 10, 3x = 39, 3x = 3

Answer:

Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.

Step-by-step explanation:

A scuba diver used the expression below to describe his position in relation to sea level.

2 + (–20) + 8

positive number is the feet above the sea level

negative number is the feet below the sea level (deep)

starting at 2 , 2 feet above sea level then down the sea 20 feet down,

finally rise 8 feet above the sea level

So, Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.

To determine the system of two inequalities which is represented by the graph, you have to do such steps:

1 step. The dashed blue line represents sign > or <. The line has the equation y=2x, then the inequality should be y>2x or y<2x. Since point (-1,1) belongs to the blue shaded region, then the inequallity y>2x is true.

2 step. The solid red line represents sign ≤ or ≥. The line has the equation x+2y=-8, then the inequality should be x+2y≤-8 or x+2y≥-8. Since the origin  (0,0) doesn't belong to the red shaded region, then the inequallity x+2y≤-8 is true.

Thus, the system is

[tex]\left\{\begin{array}{l}y>2x\\x+2y\le-8.\end{array}\right.[/tex]

Answer: correct choice is A.

Final answer:

The equation of the line that passes through the point (0, -3) and is parallel to another line with a slope of 1.2 is y = 1.2x - 3.

Explanation:

To find an equation for a line that passes through the point (0, –3) and is parallel to another line with a slope of 1.2, we use the fact that parallel lines have the same slope. Since a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept, and we already know the slope (m = 1.2) and the y-intercept (b = -3, since the line passes through (0, -3)), our equation becomes:

y = 1.2x - 3

This means that any line parallel to one with a slope of 1.2 and passing through (0, -3) will also have a slope of 1.2, but the y-intercept will be unique to the point it passes through.

Answer:  The correct option is

(c) (-1, 0).

Step-by-step explanation:  We are given to solve the following system of equations :

[tex]p-3q=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-5p+16q=5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

From equation (i), we have

[tex]p-3q=-1\\\\\Rightarrow p=3q-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of p from equation (iii) in equation (ii), we get

[tex]-5(3q-1)+16q=5\\\\\Rightarrow -15q+5+16q=5\\\\\Rightarrow q=5-5\\\\\Rightarrow q=0.[/tex]

From equation (i), we get

[tex]p=3\times0-1=-1.[/tex]

Thus, the required solution is (p, q) = (-1, 0).

Option (c) is CORRECT.

Answer:

c 268

Step-by-step explanation:

i did the test on the home school time for learning

The slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The function graphed shows the total cost for a taxi cab ride for x miles the cost in taxi is shown in y axis and the distance covered by taxi in x axis. Now, to find put the slope we must two coordinates which can be found out from the graph easy by observation as (0,3) and (2,8).

How using slope formula to find the slope of line :

[tex]\begin{aligned}\frac{y_{2}-y_{1}}{x_{2}-x_{1}}&=\frac{8-3}{2-0}\\&=\frac{5}{2}\\&=2.5\end{aligned}[/tex]

It represents the cost of taxi per mile of distance travelled.

Therefore, the slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

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Answer:

Step-by-step explanation:

252/3 = 84

84-1 = 83

84+1=85

83 +84 +85 = 252

 the numbers are 83, 84, 85

In a multiplication table, each number from 1 to 12 would appear 12 times corresponding to each multiplier. In a table specific for a single number, that number would repeat 12 times.

The question is asking about a number that appears 7 times in a multiplication table. In a multiplication table, numbers 1 through 12 are repeated 12 times, once for each multiplier. However, in a multiplication table between 1 and 10, the number 1 appears multiple times as it is a factor for every other number. As an exception, if we have a multiplication table that is specific to a certain number, for example, the number 7, then number 7 would appear 12 times as it is the constant multiplier for each number in the table.

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the answer is D

the exponent is 8.869 where the 9 is 9/1000, the 6 is 6/100 and the 8 to the right od the decimal point is 8/10

The side length of each of the cement squares is 1.5m. This is calculated by dividing the total area by the number of squares to find the area of each square, and then taking the square root to find the side length.

To solve this question, we need to first understand that the total area of the patio equals the sum of the areas of each individual cement square. There are eighteen squares, and the total area is 40.5 square meters. This means that the area of one cement square can be acquired by dividing the total area by the quantity of the squares.

So, the calculation would be 40.5m² / 18, giving us an area of 2.25m² for each square.
Now, since these are squares and all sides of a square are equal, their area is represented by the square of one side length. Therefore, to get the length of one side, we extract the square root of the area.

The calculation is √2.25, which equals 1.5. So, the side length of one of the cement squares is 1.5m.

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The most common size of a sedan tank is 18.5 gallons. So if it is 75% full, it contains 13.875 gallons of gas. If it recorded a mileage of 15,121 miles, mileage per gallon, therefore, is 1090 rounded off to the nearest whole number.

Given: Gas full tank of a sedan – 18.5 gallons

            75% full = 13.875 gallons

            Mileage using 13.875 gallons of fuel = 15,121 miles

The mileage per gallon computation using the ratio equation:

Ratio is 15121:13.875 or

            X/1= 15121/13.875

            13.875x = 15121

            X = 15121/13.875

            X =1089.80 or 1090 miles per gallon (rounded off)

Answer:

The additive identity postulate

Step-by-step explanation:

6 + 0 = 6

Any number added with zero, we get the same number.

That is, a + 0 = a, where "a" is any real number.

Let's take a = 9, we get

9 + 0 = 9

Let's check out a few more examples:

-9 + 0 = -9

2/3 + 0 = 2/3

22 + 0 = 22

You can see any number added with 0, we get the same number.

Here 0 is additive identity, this is called additive identity postulate.

We are given 6 + 0 = 6 which illustrated by "The additive identity postulate."

Therefore, answer is "The additive identity postulate"

The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.

The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.

Answer:

rational zero

Step-by-step explanation:

Final answer:

The side length of a square with the same perimeter as an equilateral triangle with side 7 cm is 5.25 cm.

Explanation:

To find the side length of a square with the same perimeter as an equilateral triangle with sides of 7 cm, first calculate the perimeter of the triangle, which is 7 cm x 3 = 21 cm. Since a square has four equal sides, divide the perimeter by 4 to get the side length of the square. Thus, the side length would be 21 cm ÷ 4 = 5.25 cm.

Answer:

Find the radius of a circle if a central angle of 3π/2 intercepts an arc of 26.4 centimeters.

Ans: 5.6 cm

Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

Ans: 5 rad

Find the arc length intercepted by a central angle of 3π/4 radians in a circle whose radius is 18.4 inches.

Ans: 13.8π