Solve the equation: 3(x + 2) = 24

Answer:

a

Step-by-step explanation:

Answer:

(500÷1.8)÷60

By dividing 1.8 out of 500, u can know

Answer:

number of servings = 1.5

Step-by-step explanation:

1 gallon = 16 Cups

cups of lemonade concentrate : lemonade servings

212 cups : 20 servings

How many servings can Mary make using 1 gallon of lemonade concentrate

Let

x = number of servings

cups of lemonade concentrate : lemonade servings

16 cups : x servings

Equate both ratios to get x

212 : 20 = 16 : x

212 / 20 = 16 / x

Cross product

212 * x = 20 * 16

212x = 320

x = 320 / 212

= 1.5094339622641

Approximately 1.5 servings

number of servings = 1.5

Answer:

you didnt say what b was but itd be 12/b

Step-by-step explanation:

Answer:

b/12

Step-by-step explanation:

whats b?

7 + 5 = 12

so whatever b is, divide that by 12

b/12

Answer:

Its either 8x/5 or 5x/8

im not sure sorry.

Answer:

$15

Step-by-step explanation:

Answer:

p=23

Step-by-step explanation:

Answer:

P=23

Step-by-step explanation:

38-15=23

p=23

Hope this helps

Have a great day!

Answer:

3/5

Step-by-step explanation:

60 percent is the fraction 60/100 and simplifyping that by ten is 6/10

6/10 divided by two is 3/5

Answer:

39.5 [tex]ft^{2}[/tex]

Step-by-step explanation:

We need to take this shape by shape

Top triangle

a = b*h/2

a = 3*2/2

a = 6/2

a = 3

__________________________________________________________

Bottom triangle:

a = b*h/2

a = 3*3/2

a = 9/2

a = 4.5

__________________________________________________________

Rectangle:

a = b*h

a = 8*4

a = 32

__________________________________________________________

Now add them all up

3 + 4.5 + 32 = 39.5

The area of the shape is 39.5 [tex]ft^{2}[/tex]

Hope this helped!

Answer:

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?

Step-by-step explanation:

Answer:

its 8

Step-by-step explanation:

Answer:

nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh

Step-by-step explanation:

Answer:

it should take 70 mins to fill all 5

hope this helps!! :)

Step-by-step explanation:

14 x 5 = 70

Answer:

70

Step-by-step explanation:

14 minutes = 1 cavity

x minutes = 5 cavities

70= x

Answer:

the answer is option : D

Step-by-step explanation:

multiply 9 with the given hrs to find the correct one

Answer: B

Step-by-step explanation:

Answer: A.  the price for a shirt that originally cost s after a 21% discount

Step-by-step explanation:

Answer:

6 19/20 dollars

Step-by-step explanation:

Sonya had 20 dollars to spend on 3 gifts.

She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.

Gift A + Gift B + Gift C = $20

Gift C = $20 - (Gift A + Gift B)

Gift A = $8 1/4

Gift B = $4 4/5

Hence:

The amount she had left for gift C is :

Gift C = $20 - ($8 1/4 + $ 4 4/5)

Gift C = $20 - $13 1/20

Gift C = $ 6 19/20

Answer:

5.8 meters

Step-by-step explanation:

The formula to calculate this is given as:

Height/ Shadow

Shadow of the pole = 25.5 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

25.5 m - 15.4 m = 10.1 m

Tim's height = 2.3 m

Hence:

x/25.5 = 2.3/10.1

Cross Multiply

10.1x = 25.5 × 2.3

x = 25.5 × 2.3/10.1

x = 5.8069306931 m

Approximately = 5.8m

Hence, the height of the flagpole = 5.8m

Answer:

Step-by-step explanation:

by inspection.. ( looking at the graph)  we can see that the slope is down hill. so it's going to be negative and also  slope = rise / run     [rise is negative in this question] soo ... i'm looking carefully to see where the line is crossing the grid marks exactly .. it looks like to me  (-3,1) and (2,-3)   you tell me if that looks right... if it does .. then the rise / run is 4/5  and this is a negative slope  sooo  

- 4/5

:)

Answer:

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = ({7 \sqrt{2}) }^{2} + ( {7 \sqrt{2} ) }^{2} \\ {c}^{2} = 2(49 \times 2) \\ {c}^{2} = 196 \\ c = \sqrt{196} \\ c = 13 \: units[/tex]

Step-by-step explanation:

400,200,100,50,25,12.5, ...... 0.78125

Step-by-step explanation:

multiply 5x+2y=19 by 3 youll get 15x+6y=57

eliminate y

7x-6y=9

15x+6y=57 +

22x=66

x=3

substitute x to 5x+2y=19

15+2y=19

2y=4

y=2

Answer:

hypotenuse = 4.24

Step-by-step explanation:

sin θ = opposite / hypotenuse

sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

hypotenuse = 4.24

[tex]\displaystyle K_c \approx 0.0424[/tex]

Math

Pre-Algebra

Order of Operations: BPEMDAS

Chemistry

Equilibrium

Step 1: Define

[RxN]   2NO₂ ⇆ N₂O₄

[Equilibrium Rate Law]   [tex]\displaystyle K_c = \frac{[N_2O_4]}{[NO_2]^2}[/tex]

NO₂ = 11.95 M

N₂O₄ = 6.05 M

Step 2: Find K

This value of K tells us that the reactants are favored in the equilibrium reaction (K < 0.1).

9514 1404 393

Answer:

  (x, y) = (1, 1)

Step-by-step explanation:

About Algebra

All of Algebra is based on a few simple rules:

When we solve equations by substitution, we make use of these facts.

__

About Substitution

Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.

Finding the Expression to Substitute

In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.

Let's choose to substitute for y. This means we need an equation of the form ...

  y = <some expression involving x>

The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...

  5x -y +y = 4 +y

  5x = 4 + y . . . . . . . . . simplified

Subtracting 4 (from both sides) gets us the form we want.

  5x -4 = 4 -4 + y

  5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y

Using the Expression to Substitute

Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:

  -x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation

  -x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses

  19x -16 = 3 . . . .  . . collect terms

This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.

  19x -16 +16 = 3 +16

  19x = 19 . . . . simplify

Now, we can divide by 19 (to both sides) to get x by itself.

  (19x)/19 = 19/19

  x = 1 . . . . almost done; we still need to find y

Finishing Up

Using the equation for y that we used for substitution, we can find y from our value of x.

  y = 5x -4 = 5×1 -4 = 5-4

  y = 1

So, the solution is x = 1, y = 1, or (x, y) = (1, 1).

_____

Additional comment

In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.

__

Alternate Solution

If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.

For example, we could solve the first equation for x:

  x = (4 +y)/5

Substituting that into the second equation gives ...

  -(4 +y)/5 +4y = 3

  -4/5 -y/5 +4y = 3

  (3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms

Now, you get to divide by 3 4/5 to get ...

  y = (3 4/5)/(3 4/5) = 1

Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.

  x = (4 +1)/5 = 1 . . . . finishing up

Answer:

A: $6

B: $2.01

C: $0

D: $4.50 or $7.50

E: 0 ≤ x ≥ 10

F: The more expensive you make the toy then that will mean that less people will want to buy it for its high price.

Step-by-step explanation:

{Data Expunged}

Answer:

Point D     :D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is

[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )

14x = 98 ( divide both sides by 14 )

x = 7 → C

Answer:

The ladder is 10 ft long...

Answer:

wish i could help have a gret day

Step-by-step explanation:

Answer:

43-7=36

Number of children in the group=36/2

=18children are there in the group

Step-by-step explanation: