Liberty Middle School’s enrollment increased to 660 students. This is an increase of 10% over last year’s enrollment. What was last year’s enrollment?

Answer:

g= - 32

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

Step 3: Add 5 to both sides.

Step 4: Multiply both sides by 4/(-1).

g=−32

Answer:

g = -32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3 = g/-4 - 5

Step 2: Solve for g

Step 3: Check

Plug in g into the original equation to verify it's a solution.

Here we see that 3 does indeed equal 3.

∴ g = -32 is the solution to the equation.

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The guy above me was correct. I got a 99% on my test.

Answer:

Line 1 : A. Neither B. Parallel__________ Line 2: A. Perpendicular B. Parallel

Step-by-step explanation:

Sorry this was hard to make a picture of it in my head. *Exhausted face* ._.

Answer:

Greater than 10 but less than 100.

Step-by-step explanation:

So 300% of 6 is 18.

10<18

18<100

Hope this helps <3

Answer:

yes

Step-by-step explanation:

yes it is because if 6ounces is $2.10 and the more ounces you add the higher the cost

btw just copy/paste :P

Answer:

-4

Step-by-step explanation:

adding a negative is the same as subtracting a positive

Answer: 24

8 + (-12) = -4

-4 + (-20) = -24

-24 + 24 = 0

0 + 4 = 4

20 + 4 = 24

Answer:

D. 3,158

Step-by-step explanation:

h(-67) means to plug the x in h(x)=-49x-125 into the function as -67

The function will then be:

h(-67)=-49(-67)-125

Multiply -49 and -67

h(-67)=3283-125

subtract

h(-67)=3158

so the answer is D

Hope this helps!  

Answer:

2/10?

Step-by-step explanation:

Answer:

$15 per hour and he worked 5 hours yesterday.

Step-by-step explanation:

Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.

Set up the equation like this.

7x=105

Divide by 7 to isolate the x

x=15

That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.

15x=75

Divide by 15 to isolate the x

x=5

That means he worked 5 hours yesterday.

P.S. give me crown

Answer:

 He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5  hours that day and he made 75 dollars.  

Step-by-step explanation:

This is a short answer so u dont have to write that much.

Answer:

see below

Step-by-step explanation:

5.  9x + 2 = 119°                    alternate interior angles are congruent

          9x = 117

           x = 13°

6.  12x - 8 + 104° = 180°       same side interior angles are supplementary

            12x + 96 = 180

                     12x = 84

                        x = 7°

7.  5x + 7 = 8x - 71                alternate exterior angles are congruent

         -3x = -78

            x = 26°

8.  4x - 7 = 7x - 61                corresponding angles are congruent

        -3x = -54

          x = 18°

9.  9x + 25 = 13x - 19          corresponding angles are congruent

            -4x = -44

               x = 11°

    13x - 19 + 17y + 5 = 180°        straight line adds up to 180°

    13(11) - 19 + 17y + 5 = 180

       143 - 19 + 17y + 5 = 180

                    17y + 129 = 180

                              17y = 51

                                  y = 3°

10.  6x - 7 + 3x - 29 = 180°     same side interior angles are supplementary

                   9x - 36 = 180

                           9x = 216

                             x = 24°

     6x - 7 = 8y + 17                   vertical angles are congruent

      6(24) - 7 = 8y + 17

         144 - 7 = 8y + 17

               137 = 8y + 17

               120 = 8y

                  y = 15°

11.  49 + 3x = 7x - 23                corresponding angles are congruent

            -4x = -72

               x = 18°

      3x = 11y - 1                         corresponding angles are congruent

      3(18) = 11y - 1      

          54 = 11y - 1

          55 = 11y

            y = 5°

12.  5x - 38 = 3x - 4                alternate interior angles are congruent

             2x = 34

               x = 17°

      7y - 20 + 5x - 38 + 90 = 180°        sum of triangle interior angle equals 180

      7y - 20 + 5(17) - 38 + 90 = 180°      

      7y - 20 + 85 - 38 + 90 = 180°    

                              7y + 117 = 180

                                      7y = 63

                                       y = 9°

Answer:

Sorry but where's the question

Step-by-step explanation:

Answer:

The slope is 12

Step-by-step explanation:

Remember the slope formula y=mx+b

m= the slope

b= y-intercept

The given area of the farm, A_0=1 hectare.

The fraction of the farm for cultivating tomatoes = 1/2

The fraction of the farm for cultivating lettuce = 2/5

The remaining fraction of farm for onion = 1-(1/2+2/5)=1/10

Therefore, the fraction of farm dedicated to onion is 1/10.

Now, the area dedicated to tomatoes = 1/2 of the area of land.

=1/2 x 1 = 1/2 hectare.

The area dedicated to lettuce = 2/5 of the area of land.

=2/5 x 1 = 2/5 hectare.

The area dedicated to onion = 1/10 of the area of land.

=1/10 x 1 = 1/10 hectare.

Answer:

A) 45

Step-by-step explanation:

BECAUSE 5 + 5 + 5 + 5 + 5 = 25

and 5 x 4 = 20

So, 25 + 20

= 45

Answer:

After 43 minutes, the bacteria will be 40 remainings.

Step-by-step explanation:

Given that:

Initial population of bacteria [tex]A_o[/tex] = 800

After time (t) = 18 mins

A = 240

Using the model:

[tex]A = A_o e^{k*t}[/tex]

[tex]240=800 e^{k*18}[/tex]

[tex]\dfrac{240}{800}= e^{18k}[/tex]

[tex]0.3= e^{18k}[/tex]

By applying natural log on both sides, we get:

In(0,3) = 18k (In e)

- 1.20397 = 18 k * (1)

18 k = -1.20397

k =  -1.20397/ 18

k = - 0.06688

k ≅ -0.07

After time (t), the bacteria population (A) = 40

Now;

[tex]40 = 800 e^{k*t}[/tex]

[tex]\dfrac{40 }{800}= e^{-0.07*t}[/tex]

[tex]0.05= e^{-0.07*t}[/tex]

In (0.05) = -0.07t * In (e)

- 2.9957 = - 0.07t

t = - 2.9957/ -0.07

t = 42.795

t ≅ 43 minutes

Thus, after 43 minutes, the bacteria will be 40 remainings.

Answer:

4y=x

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer: something in the negatives

Step-by-step explanation:

Answer:

n= 3/8

Step-by-step explanation:

63n -21 -7n

63n - 7n = 21

56n = 21

n=  3/8 or 0.375

Answer: 56n-21

Step-by-step explanation:

7(9n-3)-7n Multiply parenthesis

63n-21-7n

SUBTRACT 63n-7n- 56n

Answer is: 56n-21

We leave 21 alone because it is a constant. We leave 56n alone because there is no like term with the variable n.

Answer:

4

Step-by-step explanation:

1/2 of 8 is 4

Answer: 7

Step-by-step explanation:

just use a comparison

3/12 = x/28

1/4 = x/28

x = 7

Answer:

szxdcfgvhbjnk

Step-by-step explanation:

Answer:

20% of the animals are giraffes

80% of the animals are zebras

=====================================

Explanation:

Let's say there are 5 animals. This would mean there's 1 giraffe and 4 zebras, since we have four zebras per giraffe.

The percentage of giraffes is 1/5 = 0.20 = 20%

and the percentage of zebras is 4/5 = 0.80 = 80%

The requried percentage of giraffes is 20% and the percentage of Zebras is 80%.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

A zoo has the ratio to zebras (1 giraffe for every 4 zebras)
The total proportion of the zebras and giraffes = 5,
Percentage of giraffe = 1 / 5 × 100% = 20%
Percentage of zebras = 4 / 5 × 100% = 80%

Thus, the requried percentage of giraffes is 20% and the percentage of Zebras is 80%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

Your answer is... 1.2 km/hr

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are  obtuse, scalene, equilateral, isosceles etc.

An isosceles triangle is a triangle with two equal sides, the base angles of an isosceles triangle is equal.

Since ΔMNP is an isosceles triangle with MN = PN, then:

∠QMN = ∠QPN (base angles of an isosceles triangle are equal)

∠MNQ = ∠PNQ (NQ bisects ∠MNP producing two equal angles)

∠MQN = ∠PQN (right angles)

Answer:

C

Step-by-step explanation:

The +2 tells you where the 'y' will intersect... and it's gonna be positive 2, and only C has that so ye