MATHEMATICS MIDDLE SCHOOL

Rina drove for 1 hour at 45 mph and 1.5 hours at 50 mph. What was her average speed for the trip?

Answers

Answer 1

Answer:

Answer:

Her average speed for the trip was 48 mph.

Step-by-step explanation:

Rina drove 1 hour at the speed = 45 mph

Distance covered in 1 hour = 45 miles

she drove 1.5 hours at the speed = 50 mph

Distance covered in 1.5 hour = 50 × 1.5 = 75 miles

Total distance covered by Rina = 45 + 75 = 120 miles

Total time taken by Rina = 1 + 1.5 = 2.5 hours

Average speed = Total distance / Total time

= 120 ÷ 2.5 = 48 mph

Her average speed for the trip was 48 mph.

Answer 2

Answer: 1hour at 45mph , total distance = 45miles
1.5hours at 50kmph , total distance= 50 × 1.5 = 75miles

total distance tracaled = 120mls
total time = 2.5 hours

$(miles)/(hour) = (120)/(2.5) = 48mph$

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Simplify 3x – 2y + 6 - 6x + 5y - 8.A)
-2xy
- 2x²y²
-3x - 7y - 2
-3x + 3y - 2

Answers

Answer:

-3x+3y-2

Step-by-step explanation:

3x-6x= =3x

-2y+5y= 3y

6-8= -2

One circular table has a diameter of 9ft, and another circular table has a diameter of 14ft. How much greater is the area of the larger table? round to the nearest whole number.

Answers

$Area \ of \ a \ Circle : \n \nA= \pi r^2 \n \n diameter : \ d_(1)= 9 \ ft \n radius : r_(1) =(d_(1))/(2)=(9)/(2)=4.5 \ ft \n \n d_(2)= 14 \ ft \n radius : r_(2) =(d_(1))/(2) =(14)/(2)=7 \ ft \n \nA_(1)= (4.5)^2 \pi=20,25 \ cdot 3.14 = 63.585 \ ft^2 \n \nA_(2)= 7^2 \pi=49 \cdot 3.14 = 153.86 \ ft^2 \n \n A_(2)-A_(1)= 153.86 - 63.585 = 90.275 \approx 90 \ ft^2$

Area of circle= πr²
r-radius

A1-area of table with diameter 9ft
A2-area of circle with diameter 14ft
d=2r

A1=π*(4,5)²=20,25π
A2=π*7²=49π

A2-A1=49π-20,25π=28,75π=90,275≈90ft²

Why do whole numbers raised to an exponent get greater well fractions raised to an exponent get smaller

Answers

Because when you raise an exponent on a fraction, it is basically dividing into itself. Imagine 1/3 multiplied my 3 (Ans is 1), the fractions aren't whole numbers so when they multiply into another number, it uses division

What is the value of x if line a is parallel to line b and is cut by a transversal? x = 35

x= 19

x can not be determined from the information given

x = 27.25

Answers

Answer:

x=35

Step-by-step explanation:

These are alternate interior angles. Since a and b are parallel, they are equal

5x - 54 = 3x+16

Subtract 3x from each side

5x-3x -54 = 3x -3x +16

2x -54 = 16

Add 54 to each side

2x-54+54 = 16+54

2x = 70

Divide each side by 2

2x/2 = 70/2

x = 35

80+ Points...What is the domain of the function represented by the graph?

A.
x ≤ 4
B.
0 ≤ x ≤ 4
C.
all real numbers
D.
x ≥ 0

Answers

The domain of the function represented by the given graph is option B: 0 ≤ x ≤ 4.

A parabola is a U-shaped curve, and in this case, it opens upwards since the coefficient of the squared term is positive. As the parabola is symmetric, it will extend indefinitely in both directions. Therefore, the parabola includes all real numbers.

However, the domain of the function represented by this graph is limited. The function is defined for all x-values along the parabola. Still, it may not be defined for x-values that lie beyond the points where the parabola intersects the x-axis.

Since the points of intersection are (0, 0) and (4, 0), we can conclude that the function is only defined for x-values between 0 and 4, inclusive. This is because any x-value less than 0 or greater than 4 would lie outside the range of the parabola, and the function would not be defined at those points.

So, the correct answer is option (b).

To know more about function here

brainly.com/question/28193995

#SPJ2

Answer:

Your answer is C...............

Complete the equation for the linear function whose graph contains the points (9, 7) and (4, –8).