Students in a 6th grade class are raising money for an end-of-year camping trip. So far, they have raised $240. This is 2/5 of the cost of the trip. How much does the trip cost?

Answer:

21 lemons

Step-by-step explanation:

If the ratio is 6:4, the ratio is also equal to 3:2. This means, for every 3 lemons, there are two limes.

So, if there are 35 lemons and limes in total, we would have 21 lemons and 14 limes.

Let me know if this helps!

Answer:

I'd say it's the first dot in from the left (close to 2.4)

Step-by-step explanation:

the square root of 6 is 2.4494, and that's very close to 2.4

The answer is option 3 - 60

Answer:

10cm

Step-by-step explanation:

Answer:

y = 18

Step-by-step explanation:

30² = 24²  + y²

900 = 576 + y²

y = [tex]\sqrt{324}[/tex]

y = 18

Answer: -4/3

Step-by-step explanation: hope this helps :)

Answer:

? ≈ 25.8°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{29}[/tex] , then

? = [tex]tan^{-1}[/tex] ( [tex]\frac{14}{29}[/tex] ) ≈ 25.8° ( to 1 dec. place )

Answer:

0.004

Step-by-step explanation:

Just mutiply and divide by 2

Answer:

Step-by-step explanation:

(f∘g)(x) = f(g(x))

 = f(x²-3)

 = 2(x²-3) + 1

 = 2x² - 5

(f∘g)(-2) = 2(-2)² - 5

  = 2·4 - 5

  = 8 - 5

  = 3

The composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 –  3 will be 3

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.

The notation used for composition is: (f o g)(x) = f(g(x))

(fog)(x) = f(g(x))

this implies , (fog)(-2) = f(g(2))

given :

f(x) = 2x + 1

g(x) = x2 – 3

(fog)(x) = f(g(x)) = f(x^2 - 3)

                        =  2 (x^2 -3) +1

                        = 2x^2 - 5                                    equation 1

fog(-2) =  f(g(2))

substituting the value of x = 2 in equation 2

           = 2 * (2)^2 -5

           = 3

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Answer:

56

Step-by-step explanation:

Simplifying

x + 7x = 56 + 8

Combine like terms: x + 7x = 8x

8x = 56 + 8

Combine like terms: 56 + 8 = 64

8x = 64

Solving

8x = 64

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '8'.

x = 8

Simplifying

x = 8

Answer:

75%

Step-by-step explanation:

25% of 120=120÷4=3

30/40=75%

Check:

75% of 40=30

Answer:

(0,4)

(1,6)

(2,8)

(3,1)

(4,0)

The required ordered pair mentioned in the mapping diagram is (0,4), (1,6), (2,8), (3,1), and (4,0).

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

A mapping diagram is used to illustrate the relationship between sets of domains and ranges.

here,
From the mapping diagram,
Each arrow represents the ordered pairs,
So,
The ordered pair is given as,
(0,4), (1,6), (2,8), (3,1), and (4,0)

Thus, the required ordered pair mentioned in the mapping diagram are (0,4), (1,6), (2,8), (3,1), and (4,0).

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Answer:

.8

Step-by-step explanation:

14/17 as a decimal is 0.82352941176

we only need to know what its the hundredths and tenths place so we then just round to thenearest tenth so 2 is less than 5 so 8 stays the same therefor out answer is .8

Answer:

i might be compltely wrong but i am geting 24

Step-by-step explanation:i probply am wrong

Answer:-18

Step-by-step explanation: i know evertyhing

Given:

The given statement are:

a. Eight less than the product of seven and x.

b. The sum of six and the product of three and d.

To find:

The expression for the given statements.

Solution:

a.

Product of 7 and x is 7×x = 7x.

Eight less than the product of seven and x is 7x - 8.

Therefore, the required expression for the statement "Eight less than the product of seven and x" is 7x-8.

b.

Product of 3 and d is 3×d = 3d.

The sum of six and the product of three and d is 6+3d.

Therefore, the required expression for the statement "The sum of six and the product of three and d" is 6+3d.

Answer:

A vertical line is any line parallel to the vertical direction. A horizontal line is any line normal to a vertical line. Horizontal lines do not cross each other.

Answer:

adding 4 to both sides. first option.

Step-by-step explanation:

four should have been subtracted, as it is not negative

Answers and Step-by-step explanations:

9:  (4/6) (-5/8)  

This is just multiplication of fractions, so all you need to do is multiply both numerators by eachother and both denominators by eachother.  Assuming that only the 5 is negative, (this is just an assumption since it's not clear which one is, or you can do the 8,)  You get -20/48, since 4 x (-5) = -20, and 6 x 8 = 48.  Simplify and you get -5/12.  

10:  (3/4) (-1/5)  

Multiply the numerators, (3 and -1), and the denominators, (4 and 5,) to get -3/20.  This is the lowest it can be simplified to, so therefore your answer is -3/20.  

11.  (-1/8) (-6/7)  

Multiply -1 and -6 to get 6, (since two negatives make a positive.)  Multiply the denominators, (8 and 7,) to get 56.  This maks 6/56, which simplifies to 3/28.  

12.  (-4/9) (1/5)  

Multiply the numerators, (-4 and 1,) to get -4.  Multiply the denominators (9 and 5,) to get 45.  Your answer is -4/45.    

I'm really sorry if I'm wrong for anything, hope this helps!  :)

Answer:

48

Step-by-step explanation:

Khan Academy

The value of [A] will be 48.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that we have rewritten -

(1/7)ˣ ⁻ ² - (1/7)ˣ  as  [A] x (1/7)ˣ

We have (1/7)ˣ ⁻ ² - (1/7)ˣ  rewritten as [A] x (1/7)ˣ. So, we can write -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :

[(1/7)ˣ / (1/7)²] - (1/7)ˣ

(1/7)ˣ [1/(1/7)² - 1]

We have -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

So, we can write -

(1/7)ˣ × [1/(1/7)² - 1] =  [A] × (1/7)ˣ.

On comparing, we  get -

[A] = [1/(1/7)² - 1]

[A] = 48

Therefore, the value of [A] will be 48.

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Answer:

x is 10.

Step-by-step explanation:

3x + 12 = 42

Subtract 12 from both sides

3x = 42 - 12

Subtract 12 from 42 to get 30

3x = 30

Divide both sides by 3

x = 30/3

Divide 30 by 3 to get 10

x = 10

Answer:

y=-24

Step-by-step explanation:

hope this will help you