MATHEMATICS MIDDLE SCHOOL

Which operation will change the value of any non zero number?a. adding zero
b. multiplying by zero
c. multiplying by one
d. dividing by one

Answers

Answer 1
Answer: B. Multiplying by zero

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Jonas is making a map of his neighborhood for a school project. He knows that his house is 1.2 miles from the park. If every 0.25 ft on his map represents 0.8 mile, how far will his house be from the park on the map?

Answers

Answer:

His house is 0.375 ft. far from the park on the map.

Step-by-step explanation:

Jonas is making a map of his neighborhood for a school project.

The distance between his house and the park = 1.2 miles

He represents 0.8 mile on his map = 0.25 feet

Therefore, 1 mile on the map = (0.25)/(0.8)

so, 1.2 miles on the map = (0.25)/(0.8) × 1.2

= 0.3125 × 1.2 = 0.375 ft.

His house is 0.375 ft. far from the park on the map.
1.2 ÷.8 =1.5 1.5×.25 ft = .375 ft

Jesse drives 500 miles in 10 hours. what is the unit rate?

Answers

All the necessary information's are already given in the question. Based on these information's the answer to the question can be easily deduced.
In 10 hours Jesse drives = 500 miles
Then
In 1 hour Jesse drives = 500/10 miles
                                    = 50 miles
So the unit rate of Jesse is 50 miles per hour.

Write an equation of a line that is perpendicular to the line below and passes through the given point

Answers

a line perpendicular  would have the opposite slope, meaning that if you multilied the line of this slope and the new slope, you would get -1

in y=mx+b   m=slope and b=yintercept
-1/5 times 5/1=-1 so the new slope is 5
so y=-1/5x+3 
the point you want is 2,8 or this equation is true when x=2 and y=8 are true so subsitute and solve for the new 'b'

8=5(2)+b
8=10+b
subtract 10 from both sides
-2=b

the equaqtion is y=5x-2
When you see an equation in the format:
y = mx + c.
Know that the slope = m.

y = -1/5 x +  3.

Therefore slope, m = -1/5.  But for the new line to be perpendicular to this, the new line's slope would be the negative reciprocal of -1/5.

That is using the condition for perpendicularity:
m1* m2 = -1.            m1 = -1/5.

Where m2 = new slope of the line.

m2  =  -1 / (-1/5)  = 5.

So the slope of the perpendicular line is 5.

Using the slope and one point format:

y - y1 = m(x - x1)  here  (x1 , y1) is the point given (2, 8),  x1 = 2 ,  y1 = 8.

m = 5, the new gradient here.

y - 8  = 5(x - 2)
y - 8 = 5x - 10
y = 5x - 10 + 8
y = 5x -2.

So that's the equation of the perpendicular line passing through the given point.

A line passes through (2, 8) and (4, 12). Which equation best represents the line?y = 1 over 2 x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2 x + 10

Answers

The equation which best represents the line with the given points (2, 8) and (4, 12)isy = 2x + 4.

Given the following points:

  • Points on the x-axis = (2, 8).
  • Points on the y-axis = (4, 12).

To determine the equation which best represents the line, we would find its slope by using the following formula:

The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following formula;

Slope. \;m = (Change \; in \; y \;axis)/(Change \; in \; x \;axis) \n\nSlope. \;m = (y_2 - y_1)/(x_2 - x_1)

Substituting the given points into the formula, we have;

Slope. \;m = (12 - 8)/(4 - 2)\n\nSlope. \;m = (4)/(2)

Slope, m = 2.

The standard form of an equation of line is given by the formula;

y = mx + c

Where:

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

Next, we would solve for the intercept:

y = mx + b\n\n8 = 2(2) + b\n\n8 = 4 + b\n\nb = 8 - 4

Intercept, b = 4.

Finally, we can now write the equation which best represents the line as follows:

y = 2x + 4

Read more: brainly.com/question/18123312
You need to calculate it's slope.
(x₁,y₁) = (2,8) and (x₂,y₂) = (4,12)
Now,(y₂-y₁) = m(x₂-x₁)
(12-8) = m(4-2)
2m = 4
m = 4/2
m = 2

Now, take any one point for calculation of b in equation;
8 = 2(2) + b
b = 8 - 4
b = 4

So, Equation of the line would be: y = 2x + 4 

In short, Your Answer would be Option C

Hope this helps!

What is the coefficient of the fifth term in (a+b)^9

Answers

Answer:

The coefficient of the fifth term is 126.

Step-by-step explanation:

The question implies that after the expansion of (a+b)^(9), what would be the coefficient of the fifth term. This long expansion can be easily done by the application of the Pascal principle of expansion.

Thus,

(a+b)^(9) = a^(9) + 9a^(8)b + 36a^(7) b^(2) + 84a^(6)b^(3) + 126a^(5)b^(4) + 126a^(4) b^(5) + 84a^(3) b^(6) + 36a^(2) b^(7) + 9ab^(8) + b^(9)

So, from this expansion, the fifth term is 126a^(5)b^(4). And its coefficient is 126.

Answer:

If you expand this using pascals triangle you will see that the fifth term is 126a^5b^4

the coefficient is the number 126

A bakery bakes 184 loaves of bread in 4 hours. how many loaves does the bakery bake in one hour

Answers

46. Because 184 divided by 4 is 46.
To figure out how many loaves of bread the bakery bakes you simply divide 184 by 4:

184÷4=46
Therefore the bakery bakes 46 loaves of bread per hour 
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