A museum recorded that it had 988 visitors in 4 hours .What is the unit rate in visitors per hour?

Answer:

x = 18

Step-by-step explanation:

1/2 x - 7 = 1/3 (x - 12)           Remove the brackets on the right

1/2x - 7 = 1/3 x - 12*1/3

1/2x - 7 = 1/3 x - 4               Subtract 1/3 x from both sides

1/2x - 1/3x - 7 = - 4             Combine like terms on the left

1/6x - 7 = - 4                       Add 7 to both sides

1/6 x = - 4  + 7                    Combine the right side

1/6 x = 3                             Multiply both sides by 6

6 * 1/6x = 3*6

x = 18

Answer:

x= -9

Step-by-step explanation:

-8-3x+8=27

-8+8=0

-3x=27

divide by -3 both sides

27÷-3= -9

x= -9

Answer:

C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents

(sq rt 3)^2 = 3

add exponents and power of 1

Step-by-step explanation:

Open the brackets

px - pq = x

Add pq to both sides.

px = x + pq

Subtract x from both sides.

px - x = pq

x (p - 1) = pq

Divide both sides by (p - 1)

x = pq/(p-1)

Please gimme brainliest.

Answer:

1.67 gallons

Step-by-step explanation:

Given that:

Original mixture contains 80% detergent and 20% water in a 15 gallon bucket.

New Mixture to contain 60% detergent and 40% water of 5 gallon bucket.

To find:

Volume of Pure water to be added to each 5 gallon bucket to obtain the new mixture.

Solution:

First of all, let us calculate the answer by adding pure water to 15 gallon bucket.

Let the number of gallon of water to be added = [tex]x[/tex]

New volume = (15+[tex]x[/tex]) gallons

Now, let us compare the number of gallons of water in the mixture before and after.

[tex]15\times 20\% + x = (15+x)\times 40\%\\\Rightarrow (3+x)\times 5 = (15+x)\times 2\\\Rightarrow 15+5x=30+2x\\\Rightarrow 3x=15\\\Rightarrow x =5\ gallons[/tex]

Therefore, to a 15 gallon bucket (80% detergent and 20% water)of detergent mixture, if we add 5 gallons of pure water , it will become 60% detergent and 40% water.

To a 5 gallon bucket, the number of gallons of water to be added = [tex]\frac{5}{3} =\bold{1.67\ gallons}[/tex]

Step-by-step explanation:

4,6 and 8 are composite numbers

and 2 is an prime number

hope it helpful

Answer:

4 , 6 , & 8 are composite numbers

Answer:

9

Step-by-step explanation:

13*3=39

48-39=9

Answer:

48-39=9

        ^

(13 x 3=39)

Answer:

B - 9

Step-by-step explanation:

5 x 9 = 45 or 45 divided 5

Answer:

2292.84

Step-by-step explanation:

Amswer

it is b Step-by-step explanation:

Answer:

on the 15th day, there will be 14/10, or 7/5, or 1 2/5, or 1.4 of a gallon in the tank

Step-by-step explanation:

Answer:

She earned 300 dollars by selling 100 headbands.

Answer:

mAngle1 + mAngle2 = 180°

Step-by-step explanation:

This is the answer hope it helps

if u had a picture i could give further details

Hope this helped

Answer:

What if I told you I guessed

Step-by-step explanation:

but submitted and got it correct

...

Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.

Step-by-step explanation:

Answer: A. $5.70

Step-by-step explanation:

Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

Answer:

Rs. 20,000

Step-by-step explanation:

the boundary wall will act as a perimeter.

the perimeter of a square field is 4S( S = side)

S x S = area

S2 = area

S =

square root of S2= square root of area

square root of S2 = S

S = square root of area

S = square root of 1600

S = 40m

perimeter = 4 x S

                 = 4 x 40

                 = 160m

1m = rs. 500

40m = 40m x rs.500

                     1m

=Rs. 20,000

Answer:

The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.

Step-by-step explanation:

A composite number is an integer that is not a prime number, that is, a number that can be divided only by one and itself. Let be [tex]n[/tex] the smallest composite number such that there are two positive integers [tex]x[/tex], [tex]y[/tex] such that [tex]x - y = 10[/tex] and [tex]x\cdot y = n[/tex]. [tex]n[/tex] is a positive integer, since both integers are positive. Then, we can use the following formula:

[tex](y+10)\cdot y = n[/tex]

[tex]y^{2}+10\cdot y = n[/tex]

[tex]y^{2}+10\cdot y - n = 0[/tex] (1)

We obtain the roots of this second order polynomial by means of the Quadratic Formula:

[tex]y = \frac{-10\pm \sqrt{10^{2}-4\cdot (1)\cdot (-n)}}{2}[/tex]

[tex]y = -5\pm \sqrt{25+n}[/tex] (2)

Given that [tex]y > 0[/tex], we must observe the following inequation:

[tex]-5\pm \sqrt{25+n}>0[/tex] (3)

[tex]\sqrt{25+n} > 5[/tex]

[tex]25 + n > 25[/tex]

[tex]n > 0[/tex]

Let is find the values of x and y by iterative means:

x = 11, y = 1

[tex](11)\cdot (1) = 11[/tex]

11 is not a composite number, but a prime number.

x = 12, y = 2

[tex](12)\cdot (2) = 24[/tex]

24 is a composite number, which contains the following product of prime numbers:

[tex]2^{3}\cdot 3 = 24[/tex]

The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.

Answer:

34

Step-by-step explanation:

It is an isosceles triangle.

112 + u + u =180       {Angle sum property}

112 + 2u   = 180

        2u = 180 - 112

        2u = 68

          u = 68/2

         u = 34

Answer:

1. 58 = 5x-2, 60 = 5x, x = 12

2. 134 = 16x+22, 112 = 16x, x = 7

3. 125 = 7x-1, 126 = 7x, x = 18

4. 133+9x+2 = 180, 9x=45, x=6

5. 8x-77 = 3x+38, 5x = 115, x=23

6. 11x-47 = 6x-2, 5x = 45, x=9

7. 13x-21 = 5x+75, 8x = 96, x=12

8. 5x+3+9x-33 = 180, 14x = 210, x=15

9. 8x-31 = 6x+3, 2x = 34, x=17

5y+35+6(17)+3 = 180, 5y = 40, y = 8

10. 29x-3+15x+7 = 180, 44x = 176, x=4

13y-17+15(4)+7 = 180, 13y = 130, y=10

1. x = 12

2. x = 7

3. x = 18

4. x = 5

5. x = 23

6. x = 9

7. x = 12

8. x = 15

9. x = 17; y = 8

10. x = 4; y = 10

To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:

Let's solve the given problems as shown below given that line l is parallel to line m:

1. [tex]58 = (5x - 2)[/tex] (corresponding angles)

solve for x

[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)

[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)

[tex]12 = x\\x = 12[/tex]

2. [tex]134 = 16x+22[/tex] (alternate exterior angles)

[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)

[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)

[tex]7 = x\\x = 7[/tex]

3. [tex]7x - 1 = 125[/tex] (alternate angles)

[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]

4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)

[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]

5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)

[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]

6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)

[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]

7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)

[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]

8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)

[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]

9. [tex]8x-31 = 6x+3[/tex] (alternate angles)

[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]

Solve for y

[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)

[tex]5y + 35 + 6x + 3 = 180\\[/tex]

Plug in the value of x

[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]

10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)

Solve for y

[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)

Plug in the value of x

[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]

Learn more about parallel lines here:

https://brainly.com/question/16227989

Answer:

slope is 2

Step-by-step explanation:

simplify this equation so that you can get to "y ="

your equation is: 6x - 3y = 5

start by subtracting 6x from both sides: -3y = -6x - 5

then divide both sides by -3 to isolate y: y = 2x - 5/3

so now we can clearly see that the slope is 2, since that is what is right next to x

Answer:

25[tex]\pi\ m^2[/tex]

Step-by-step explanation:

Given that:

A large circle in the park has its middle part painted.

The circle is divided in 4 equal parts.

Radius of the circle = 10 meters

To find:

Area of each section of the circle, [tex]A[/tex] = ?

Solution:

Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.

First of all, let us have a look at the formula for area of a circle with given radius [tex]r[/tex]:

[tex]Area = \pi r^2[/tex]

Here, [tex]r = 10 m[/tex]

Putting the value in the above formula, we get:

So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]

Now, there are 4 equal parts of the circle, therefore area of each section will be equal.

Area of each section of the circle:

[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]

Answer:

no one ate any bagels apparently lol

Step-by-step explanation:

just add you the numbers and you will get the answer

Answer: A -11

Step-by-step explanation: trust me

Step-by-step explanation:

[tex]2x + y + 3x - 7y \\ = (2x + 3x) + (y - 7y) \\ = (5x) + ( - 6y) \\ = 5x - 6y \\ = mx + b \\ where \: \: m = 5 \\ where \: \: b = - 6y[/tex]

Answer:

$170 + $35n

Step-by-step explanation:

Given that:

First day:

Transport fare = $70

Fee per ticket = $19

2nd day:

Transport fare = $100

Fee per ticket = $16

Total cost in dollars for the two days for n members

Number of members = n

First day:

70 + 19n

Second day :

100 + 16n

Totak cost :

(70 + 19n) + (100 + 16n)

70 + 100 + 19n + 16n

170 + 35n

$170 + $35n