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3 years ago

Write 14/6 as a mixed number

Mathematics

2 answers:

WITCHER [35]3 years ago

8 0

14/6 as a mixed number is 2 and 1/3

Maksim231197 [3]3 years ago

5 0

14/6 as a mixed number is 2 and 1/3

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Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 miles per hour for t hours and at an average rate of

IceJOKER [234]

Answer:

Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

Step-by-step explanation:

Given:

Brady rode 70 miles in 4 hours.

For $t$ hours he rode at the average rate of 17 miles/hour

For rest of the time he rode at the average rate of 22 miles per hour.

To find the time Braady rode at the slower speed.

Solution:

Total time of riding = 4 hours

Time for which Brady rides at 17 miles/ hour = $t$ hours

Distance covered in $t$ hours = $Speed\times time=17\times t =17t\ miles$

So, time for which Brady rides at 22 miles/ hour = $(4-t)$ hours

Distance covered in $(4-t)$ hours = $Speed\times time=22\times(4-t) =(88-22t)\ miles$

Total distance can be given as:

⇒ $17t+88-22t$

Simplifying.

⇒ $-5t+88$

Total distance given =70 miles.

Thus, the equation to find $t$ can be given as:

$-5t+88=70$

Subtracting both sides by 88.

$-5t+88-88=70-88$

$-5t=-18$

Dividing both sides by -5.

$\frac{-5t}{-5}=\frac{-18}{-5}$

∴ $t=3.6$ hours

$3.6\ hours = 3\ hour+ (0.6\times 60)\ minutes = 3\ hour\ 36\ minutes$

Thus, Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

6 0

3 years ago

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 334 people entered the park, a

zhuklara [117]

Answer: Number of children = 184

Number of adults = 150

Step-by-step explanation:

Let x be the number adults and y be the number of children.

334 people entered the park.

$\Rightarrow\ x+y=334----------(1)$

The admission fee at an amusement park is $1.50 for children and $4 for adults and fees collected totaled 876.00 dollars.

$\Rightarrow\ 1.50x+4y=876----------(2)$

Multiply 4 to equation (1), we get

$4x+4y=1336---------(3)$

Eliminate equation (2) from (3)

$2.50x=460\\\\\Rightarrow\ x=\dfrac{460}{2.5}=184$

Put x= 184 in (1)

$184+y=334\\\\\Rightarrow\ y=334-184=150$

∴ Number of children = 184

Number of adults = 150

8 0

3 years ago

Solve (x +9)2 = 25.

alexandr1967 [171]

Answer:

$x = - 4 \: or \: x = - 14$

Step-by-step explanation:

We have been given the equation

$(x + 9) {}^{2} = 25$

and we are asked to apply the square root property of equality to our given a equation and isolate the variable

First, take the square root of both sides of our equation

$\sqrt{(x + 9) {}^{2} } = \sqrt{25}$

$x + 9 = \: 15$

$x + 9 = 5 \: or \: x + 9 = - 5$

$x + 9 - 9 = 5 - 9 \: or \: x + 9 - 9 = - 5 - 9$

$x = - 4 \: or \: x = - 14$

THEREFORE, THERE ARE TWO SOLUTIONS FOR OUR GIVEN EQUATION

$x + 9 = 5 \: then \: x = - 4. \\ x + 9 = - 5 \: then \: x = - 14$

PLEASE MAKR ME BRAINLIEST IF YOU ARE HAPPY WITH THE ANSWER

8 0

3 years ago

When you subtract one negative integer from another, will your answer be greaTER THAN OR LESS THAN THE INTEGER YOU STARTED WITH?

Phoenix [80]

Less than what you started with. For example 7- -2 is 5 which is less than 7.

6 0

4 years ago

Read 2 more answers

Help please !! Thank u

leonid [27]

Answer:

parallel = same slope (-2x)

so it's y=-2x + b

let's find b by plugging in 1 for x and 3 for y (the coordinates)

3 = -2*1 + b

3 = -2 + b

5 = b

there you have it:

y = -2x +5

brainliest would really be appropriated (possible when someone else also leaves an answer)

4 0

3 years ago