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2 years ago

PLEASE HELP !!!!!! find the missing number on the number line

Mathematics

2 answers:

Bogdan [553]2 years ago

4 0

8 because the line is going up by 1 as seen from 4 and 6

Anarel [89]2 years ago

3 0

The answer is 8. the reason is because it goes from 4 to 6 so that’s a 2 difference

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Ben and Landon took turns driving on a 820 mile road trip. Ben averaged 60 miles per hour and Landon averaged 56 miles per hour.

SashulF [63]

<u>Answer</u>:

See below!

<u>Explanation</u>:

distance = speed * time
speed = distance/time
time = distance/speed

<u>equation for distance</u>:

Lets Ben hours be x and Landon hours be y,

60x + 56y = 820 .........equation 1

<u>equation for time</u>:

$\frac{60x}{60}+ \frac{56x}{56} =14$

x + y = 14 .........equation 2

Make x the subject:

60x + 56y = 820

x = (820 - 56y)/60 ..........equation 3

x + y = 14

x = 14 - y ........equation 4

Solve equation 3 and 4 simultaneously:

14 - y = (820 - 56y)/60
60(14 - y) = 820 - 56y
840 - 60y = 820 -56y
840 - 820 = -56y + 60y
20 = 4y
y = 5

[ Therefore Landon drove 5 hours ]

Extra's further investigated:

if y = 5

x = 14 - y
x = 14 - 5
x = 9

[ Therefore Ben drove 9 hours ]

4 0

2 years ago

Read 2 more answers

To make the cone, melted chocolate is pumped onto a huge cold plate at a rate of 2 ft3/sec. Due to the low temperature, the choc

Julli [10]

Answer:

The height of cone is increasing at a rate 0.102 feet per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 2\text{ cubic feet per second}$

Instant height = 5 feet

The height of the cone is always equal to the diameter.

Volume of cone =

$V = \dfrac{1}{3}\pi \dfrac{d^2}{4}h\\\\\text{where d is the diameter and h is the height of cone}\\\\V = \dfrac{1}{12}\pi h^3$

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{12}\pi h^3)\\\\\dfrac{dV}{dt} =\dfrac{\pi}{4}h^2\dfrac{dh}{dt}$

Putting all the values, we get,

$2=\dfrac{\pi}{4}(5)^2\dfrac{dh}{dt}\\\\\Rightarrow \dfrac{dh}{dt} = \dfrac{8}{25\pi} =0.102$

Thus, the height of cone is increasing at a rate 0.102 feet per second.

8 0

3 years ago

Kim is playing a board game. He and his opponent were both on the same spot on the board until Kim got a card that sent him -6 s

shepuryov [24]

Answer:

To determine how many spaces there are on the board.

Step-by-step explanation:

5 0

3 years ago

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What is the slope of a line that passes through the points (8,-3) and (-2,5)

Vitek1552 [10]

Answer:

-4/5

Step-by-step explanation:

3 0

2 years ago

There are red and blue balls in a bag. The number of blue balls is 27 and the red balls are 4/ 7 of all balls. What is the total

aliina [53]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ We know this:

3/7 = 27

You need to find the value of 1/7

To do this, divide by 3

27/3 = 9

1/7 = 9

Multiply this by 7 to get the total number of balls:

9 x 7 = 63

There are 63 balls.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0

2 years ago