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3 years ago

What does x equal if x times the power of two, plus 6 equals 31?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

6 0

Answer:

x=5

Step-by-step explanation:

x^2+6=31 Find x

Subtract 6 from both sides

x^2=25

take the square root of both sides

x=+5 or -5

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Find the area of the figure below.

kiruha [24]

Answer:

157.08 in2

Step-by-step explanation:

hope it helps

7 0

3 years ago

Dante surveyed students to see how they feel about a proposal to choose a new school mascot. The frequency table shows the resul

kenny6666 [7]

Answer:

Dante most likely asked the students if they should change the school mascot. This is a statistical question because the question can be answered by data that varies.

Step-by-step explanation:

You can see that the results for this question are either "yes" or "no". This means that Dante asked a question with a yes or no answer related to changing the mascot. This question was probably something along the lines of whether or not the mascot should be changed.

The definition of a statistical question is "a question that should have different answers". Therefore, this is a statistical question because the answers will be different from student to student.

Hope this helps!

8 0

3 years ago

3/5 of your teammates want to wear red jerseys. 1/4 of those teammates also want to wear red pants. What fraction want to wear r

Lina20 [59]

Answer:

3/20

Step-by-step explanation:

1/4 of 3/5= 3/20

hope its clear

8 0

3 years ago

The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York

beks73 [17]

Answer:

2 hours

Step-by-step explanation:

Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.

To find : How many hours will the slower train travel for before both trains will arrive at the same point?

Solution : Let the distance covered by NY is x

and let the distance covered by KY is y

Total distance covered is $x+y=720$ ........[1]

→ New York city,

Distance traveled = x

Speed of the train = 80 mph

Time taken = t+2

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t+2=\frac{x}{80}$ .......[2]

→ Louisville,

Distance traveled = y

Speed of the train = 60 mph

Time taken = t

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t=\frac{y}{60}$ .......[3]

Put the value of t from [3] into [2]

$\frac{x}{80}- \frac{y}{60}=2$ ......[4]

Now, we solve equation [1] and [4],

Put the value of y from [1] and put back in [4], $y=720-x$

$\frac{x}{80}- \frac{y}{60}=2$

$\frac{x}{80}- \frac{720-x}{60}=2$

$\frac{60x-80(720-x)}{80\times60}=2$

$60x-57600+80x=9600$

$140x-57600=9600$

$140x=57600+9600=67200$

$x=\frac{67200}{140}=480$

Put x=480 in [1]

$x+y=720$

$480+y=720$

$y=240$

So, The distance covered by train from New York city is x=480 miles

The distance covered by train from Louisville is y=240 miles.

Now put value of y in [3] to get time,

$t=\frac{y}{60}$

$t=\frac{240}{60}$

$t=4$

So, The time taken by train from Louisville is 4 hr.

The time taken by train from New York city is t+2=4+2=6 hr.

→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.

7 0

3 years ago

John's age is 4 more than 3 time Mike's age. If their sum is 20, how old are Mike and John?

natima [27]

Let me help you with this :)

John = x
Mike = y

x = 4 + 3y (4 more than 3 times)

x + y = 20 (we put the x above into this equation)

4 + 3y + y = 20
4y = 16 (we transfers the 4 on the left side to the right side and subtract it from the 20)
y = 4 (the answer is 4)

we use this for the equation:

x = 4 +3*4
x = 16

John is 16 years old and Mike is 4 years old :)

6 0

3 years ago