All categories

2 years ago

Which of the following problems can be solved using the equation below? x+15=2x

Mathematics

1 answer:

pshichka [43]2 years ago

6 0

Answer:

Answer is below

Step-by-step explanation:

Subtract 2x from both sides.

$x+15-2x=2x-2x\\-x+15=0$

Subtract 15 from both sides.

$-x+15-15=0-15\\-x=-15$

Divide both sides by -1.

$\frac{-x}{-1}=\frac{-15}{-1} \\x=15$

So therefore your answer is 15

You might be interested in

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in. Find

mr Goodwill [35]

Answer:

The volume in such a package is 27648 in³

Step-by-step explanation:

Consider the provided information.

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.

Let the dimension are x by x by y.

Where x is the variable for the square base package and y is the variable for length.

Thus l=x, b=x and h=y

Then the volume of the box is: $V(x)=x^2y$ (∵V=lbh)

The maximum combined length and girth is 144.

Therefore, $4x+y=144$

$y=144-4x$

Substitute the value of y in volume of the box.

$V(x)=x^2(144-4x)$

$V(x)=144x^2-4x^3$

$V'(x)=288x-12x^2$

Substitute V'(x)=0.

$0=288x-12x^2$

$12x(24-x)=0$

$x=0\ or\ x=24$

Now apply second derivative test.

$V''(x)=288-24x$

$V''(0)=288-24(0)>0$ (Min)

$V''(24)=288-24(24)$ (Max)

Hence, the maximum volume is at x=24

If x=24 then $y=144-4(24)=48$

Substituting value of x = 24 and y = 48 $V(x)=x^2y$ gives 27648.

Hence, the volume in such a package is 27648 in³

5 0

3 years ago

Priya drew a circle whose area is 25 cm. Dan drew a circle whose diameter is 4 times the radius of Priya's circle. How many time

Vitek1552 [10]

Answer:

400

Step-by-step explanation:

first work out the radius of priya's circle with the equation a = $\pi r^{2}$

$25 = \pi r^{2}$

$\frac{25}{\pi } = r^{2}$

$r = \sqrt{\frac{25}{\pi } }$

we know the diameter of a circle is 2 times the radius so the diameter of priya's circle is 2x $\sqrt{\frac{25}{\pi } }$

this means that if the diameter of dan's circle is 4 times bigger it must be

8x $\sqrt{\frac{25}{\pi } }$

to find the radius of dan's circle we divide the diameter by to 2 to give

4x $\sqrt{\frac{25}{\pi } }$

then use the a= $\pi r^{2}$ equation again

$a= (4 \sqrt{\frac{25}{\pi } })^{2} \pi$

which equals 400

hope that helped

6 0

3 years ago

Jamal is planning the seating for the new auditorium. He drew 15 seats for the first row, and is planning on each following row

Fofino [41]

If he wants to have 3 seats more in each row it will go from 18 to 21 to 24 etc. In this case the equation will be y=3x+12

3 0

3 years ago

Order from least to greatest 1/5 1/2 and 1/3

Sedaia [141]

Step-by-step explanation:

recommended is to convert to decimal

1/5 is 0.2

1/2 is 0.5

1/3 is 0.33

Order is 1/5, 1/3, 1/2

5 0

3 years ago

Read 2 more answers

Which of the following functions is graphed below?

yanalaym [24]

Answer:

c) l x - 5 l - 4

Step-by-step explanation:

when you're graphing functions whatever is inside the paranthesis, square root or absolute value determines whether you go left or right, if its a negative you go to the right, if its positive you go to the left. So the opposite of what you would expect it to go

in this instance its - 5, so you go 5 units to the right

and the number outside determines if you go up or down, in this question its - 4 so you go down 4 units

7 0

2 years ago