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adell [148]
2 years ago
9

Leo hike 6)7 0f a kilometer.Jericho hike 2/3 kilometer.who covered a longer distance?how much longer?

Mathematics
1 answer:
nekit [7.7K]2 years ago
5 0

Answer:

The correct answer is A. 4/21.

Step-by-step explanation:

Given that Leo hiked 6/7 of a kilometer, while Jericho hiked 2/3 kilometers, to determine who covered a longer distance and how much longer it was, the following calculation must be performed:

Common multiple of 7 and 3 = 21

6/7 = 18/21

2/3 = 14/21

18 -14 = 4

Thus, Leo hiked a longer distance, hiking 4/21 km more than Jericho.

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Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.
LiRa [457]

Answer:

The answer is

y = 2x + 13

Step-by-step explanation:

Remember:

Slope-intercept form: \:  \\ y = mx + b \\  \\ m = slope \\ b = y - intercept

M =  \frac{y_2 - y_1}{x_2 - x_1}

First: Find the slope.

M =  \frac{13 - 5}{0 - ( - 4)} =  \frac{8}{4}   = 2

.

Second: Solve for the y-intercept

y = mx + b \\ 5 = 2( - 4) + b \\ 5 =  - 8 + b \\   \frac{+ 8 =  + 8 \:  \:  \:  \:  \:  \:  \:  \: }{13 = b}

.

Third: Plug in.

y = mx + b \\ y = 2x + 13

8 0
3 years ago
Determine the range of the function.
Naya [18.7K]

Answer:

Solution: f(x)\ge-5\\Interval:[-5,\infty)

Step-by-step explanation:

Equation: \frac{1}{4} x^2-5 = y

1). \frac{1}{4} x^2-5 = y →\frac{x^2}{4}-5=y

2). \frac{x^2}{4}-5=y ∴ a=\frac{1}{4}, b=0, c=-5

3). x_v=-\frac{b}{2a}

         =-\frac{0}{2(\frac{1}{4})}

         =0

4). now plug x_v into y_v

y_v=\frac{0^2}{4}-5

    =-5

5). Minimum (0,-5) ∴ f(x)\ge-5

4 0
3 years ago
Which of the following statements is true?
vlada-n [284]
The number -4 is a whole number
7 0
2 years ago
The brand name of a certain chain of coffee shops has a 54% recognition rate in the town of Coffleton. An executive from the com
malfutka [58]

Answer:

0.156

Step-by-step explanation:

Using binomial probability formula, we have :

P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ  ------------------------------------------------- (1)

Where n = total number of sample

           a = number of success

            p = probability of success

            q = probability of failure

            n-a = number of failures

From the question:

n =10 , a = 7, p=0.54, q = 1-p = 0.46

Substituting into equation (1) we have:

P (7 out of 10) =  ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷

                      = 0.1563

                     ≈ 0.156

                   

8 0
3 years ago
A warehouse is 55 yards long, 35 yards wide, and 5 yards high. What is the area of the warehouse floor? If the warehouse is fill
amid [387]

Answer:

The area of the warehouse floor is 1925yd²

The volume of the boxes is 4812.5yd³

Step-by-step explanation:

First we have to calculate the area, for this we must multiply the length by the width

a = area

l = long = 55yd

w = width = 35yd

a = l * w

a = 55yd * 35yd

a = 1925yd²

to calculate the volume we have to multiply the area by the height

asks us for the volume for half the height so we have to divide the height by 2

a = area = 1925yd²

h = height = 5yd/2 = 2.5yd

v = volume

v = a * h

v = 1925yd² * 2.5yd

v = 4812.5yd³

The area of the warehouse floor is 1925yd²

The volume of the boxes is 4812.5yd³

5 0
3 years ago
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