solve 2x^2+x-6=0

1. {-3/2, 2}

2. {}

3. {-2, 3/2}

25 : 1,25,50,75,100,125,150,175,200

40: 1,40,80,120,160,200

They will meet again after 200 minutes.

[tex]x = \frac{200}{60} = 3 + \frac{20}{60} [/tex]

So they will meet again after 3 hours and 20 minutes;

9:30 + 3:20 = 12:50 p.m.

That's your answer

The next time where both bus A and bus B are together at a stop is

12:50 pm.

Given,

Bus A stops at a certain bus stop every 25 minutes.

Bus B stops at the same stop every 40 minutes.

If both buses are at the bus stop at 9:30 a.m.

We need to find when is the next time they will be there together again.

1 hour = 60 minutes.

Find the total minutes traveled by bus A after 8 stops.
We have,

1 stop = 25 minutes

Multiplying by 8 on both sides.

8 x 1 stop = 8 x 25 minutes

8 stops = 200 minutes

We see that at the 8th stop bus A has traveled for 200 minutes.

Find the total minutes traveled by bus B after 5 stops.
We have,

1 stop = 40 minutes

Multiplying both sides by 5.

5 x 1 stop = 5 x 40 minutes

5 stops = 200 minutes

We see that at the 5th stop bus B has traveled for 200 minutes.

We can say that after 200 minutes of traveling each bus has stopped at the same place.

We have,

Both buses are at the bus stop at 9:30 a.m.

So,

60 minutes = 1 hour

200 minutes

= 60 minutes + 60 minutes  + 60 minutes  + 20 minutes

= 3 hours 20 minutes

So,

9:30 am + 3 hours 20 minutes

= 12:50 pm

Thus the next time both the buses are together is 12:50 pm.

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Answer: 45%

Step-by-step explanation:

27/60 squares are covered

I reduced the fraction to 9/20, multiplied by 5 to make the denominator 100 and the numerator is 45, therefore fraction is 45/100.

Answer:

20 percent

Step-by-step explanation:

4/20 or 1/5 or 20 percent

[tex]( { \frac{3}{5} })^{2} [/tex],

[tex] \frac{9}{25} [/tex]

is the answer

Answer:

(3/5)by2

Step-by-step explanation:

3/5

3*3=9

5*5=25

9/25

Answer:

The correct answer should be 4

Answer:

-1/36

Step-by-step explanation:

-5/18  - ( -1/4)

Subtracting a negative is like adding

-5/18 + 1/4

Getting a common denominator of 36

-5/18 *2/2 + 1/4 *9/9

-10/36 + 9/36

-1/36

Answer:

9 cm^2

Step-by-step explanation:

The area of a triangle is calculated with the following formula:

1/2*b*h (b: base, h: height)

The base is given as 3 and height is 6 so

1/2*3*6 = 9 cm^2 is the answer we are looking for.

Answer:

30 percent of 90 is 27

Answer:

27

Step-by-step explanation:

What is 30 percent (calculated percentage %) of number 90? Answer: 27.

Answer:

0.00572

Step-by-step explanation:

pretty sure thats the answer

Answer:

trapizoide

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

Answer:

6 containers

Step-by-step explanation:

        This problem is asking us to divide the total 2/3 gallons by the 1/8 gallon of paint being poured into each container.

Given:

[tex]\frac{2}{3} /\frac{1}{8}[/tex]

"Keep, change, and flip:"

[tex]\frac{2}{3}*\frac{8}{1}[/tex]

Multiply across:

[tex]\frac{2*8}{3*1} =\frac{16}{3}[/tex]

Simplify:

5 [tex]\frac{1}{3}[/tex]

        Since the problem is counting the one partially filled, we round 5 [tex]\frac{1}{3}[/tex] up to be 6 containers with paint in them.

Answer:

320,145

Step-by-step explanation:

Anything under 5 goes down and anything above 5 goes up.

Answer:

300,000

Step-by-step explanation:

Given the following question:

[tex]324145[/tex]

To round to the nearest hundred thousand of this number we must first find the hundred thousand place value and then determine if the number next to that place value is greater than five, if so, we can round the number up.

[tex]324145[/tex]
[tex]PV=3[/tex]
[tex]2 < 5[/tex]
[tex]=30000[/tex]

Rounded to the nearest hundred thousand "300,000" is your answer.

Hope this helps.

Answer:

Step-by-step explanation:

number is x

(2x)/7

=40

Answer:

A. 60-degrees N of E because it is closer to the east than the north.

Step-by-step explanation:

Answer:

wat is dat about? :3

The minimum number of pieces of candy must be taken to ensure that two of the same pieces of candy are picked is 12.

So obviously, there is the case where with only two draws you can get the same candy twice, but we need to find a number N such that we know for sure that always that we take N candy, we drew at least one pair of equal candy.

There are 11 types of candy in the bag.

Now, suppose the next thing.

First, you draw a candy, now there are 10 types of candy in the bag that are different than the one you got.

Now you draw again, and get a different candy, so now there are 9 types of candy in the bag different to the two you got.

Now you keep doing this and getting a different type of candy until you already have the 11 types of candy in your hands.

Now if you draw a candy again, one pair will be formed (because you have all the types of candy already).

From this, we can conclude that always that you draw 12 pieces of candy, at least one pair will be formed.

If you want to learn more about counting, you can read:

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Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of (x-2, y) unit(s) and a across the x-axis.

Step-by-step explanation:

The triangle ABC is shown in the image attached. The coordinates of the triangle are A(8, 8), B(10, 4), C(2, 6), while the triangle A'B'C' is at A'(6, -8), B'(8, -4), C'(0, -6).

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is translated a units on the x axis and b units on the y axis, the new coordinate is O'(x+a, y+b).

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y)

Hence if triangle ABC is translated -2 units on the x axis (2 units left), the new coordinates are A*(6, 8), B*(8, 4), C*(0, 6). If a reflection across the x axis is then done, the new coordinates are A'(6, -8), B'(8, -4), C'(0, -6).

Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of 2unit(s) left and reflected across the x-axis.

Step-by-step explanation:

Answer:

A 36 meters

Step-by-step explanation:

the perimeter is the sum of all sides around the object.

and 1 m² is a square with 1m side length.

so, we only need to count the bordering squares.

we have

12 + 3 + 3 + 5 + 2 + 3 + 3 + 5 = 36 m

I guess, we are only doing the first drawing, right ?

The quotient of the number given number  7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.

Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The number StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction, given can be written as,

[tex]\dfrac{7^{-1}}{7^{-2}}[/tex]

Let the quotient of this division is n. Therefore,

[tex]n=\dfrac{7^{-1}}{7^{-2}}[/tex]

A number in numerator of a fraction with negative exponent can be written in the denominator with the same but positive exponent and vise versa. Therefore,

[tex]n=\dfrac{7^{2}}{7^{1}}\\n=7[/tex]

Hence, the quotient of the number given number  7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.

Learn more about the quotient here;

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Answer:

C

Step-by-step explanation:

C

While making a perfect square for the given quadratic equation [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] the value of c is 9/4

It is given that the quadratic equation  [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] while forming the perfect square.

It is required to find the value of c.

It is defined as the equation of polynomial of degree two. The standard form of the quadratic equation is as follows:

[tex]\rm ax^2+bx+c=0[/tex]  where [tex]\rm a\neq 0[/tex]

We have a quadratic equation:

[tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex]

We know that we can make any quadratic equation into a perfect square by the perfect square trinomial method as follow:

[tex]\rm ax^2+bx+c=0\\\rm ax^2+bx=-c\\\rm ax^2+bx+(\frac{b}{2a})^2 =-c+(\frac{b}{2a})^2\\[/tex]

So, the value of 'c' would be:

[tex]\rm c=(\frac{b}{2a})^2\\[/tex]  here b=3 and a=1 by comparing the equation to the standard equation.

[tex]c=(\frac{3}{2\times1} )^2\\c=(\frac{3}{2} )^2\\c=\frac{9}{4}[/tex]

Thus,  while making a perfect square for the given equation the value of c is 9/4

Know more about the quadratic equation here:

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Answer:

9/4

Step-by-step explanation:

correct on edge