Select the correct answer.
The graph shows a proportional relationship between the number crates and the number of apples per crate.



What is the constant of proportionality in terms of the number of apples to the number of crates?

A.
30
B.
35
C.
40
D.
50

Answer:

5 1/4

Step-by-step explanation:

To convert into an improper fraction, we times the whole number by the denominator and then add the numerator. For the first number, it is 15/4 and the second number is 7/5. Then we multiply 15/4 and 7/5 to get 5 1/4.

Answer:

99/5

Step-by-step explanation:

CONVERT INTO:

33/4 x 12/5

MULTIPLY THE FRACTIONS:

(33x12)

--------------

5

CANCEL TERMS:

(33x3)

-----------

5

SIMPLIFY:

99/5

Answer: x = 22

Step-by-step explanation:

Compare the 2 triangles

[tex]\frac{2x-8}{24} = \frac{45}{x+8}[/tex]

Cross multiply

(2x-8) (x+8) = 45 x 24

2x^2 + 16x - 8x - 64 = 1080

2x^2 + 8x - 64 - 1080 = 0

2x^2 + 8x - 1144 = 0 ---> divide by 2

x^2 + 4x - 572 = 0

(sum and product)

x^2 - 22x + 26x - 572 = 0

x(x - 22) + 26(x - 22) = 0

(x + 26) (x - 22) = 0

x + 26 = 0

x = -26

x - 22 = 0

x = 22

Answer:

B. 31.4

Step-by-step explanation:

To find x, the hypotenuse, we need to use sin because we have been given the opposite (the side opposite the angle 35°) and we need to work out the hypotenuse (the longest or slanted side):

SOH, CAH, TOA

sin(θ) = opposite ÷ hypotenuse

Sub in the values (we don't know the hypotenuse so i've called it x):

sin(35) = 18 ÷ x (multiply both sides by x)

x × sin(35) = 18 (divide both sides by sin(35))

x = 18 ÷ sin(35) = 31.38204...

x ≈ 31.4

Hope this helps!

Answer:

Step-by-step explanation:

2 people make 2 bikes in 2 hours so  2 people can make 1 bike in 1 hour

So in 6 hours,  2 people can make 6 bikes.

So to make 12 bikes we need  2*2 = 4 people.

Answer:

Step-by-step explanation:

[tex] \frac{ {2x}^{2} - 7x - 4 }{ {x}^{2} - 5x + 4 } \\ \frac{ {2x}^{2} + x - 8x - 4 }{ {x}^{2} - x - 4x + 4} \\ \frac{x(2x + 1) - 4(2x + 1)}{x(x - 1) - 4(x - 1)} \\ \frac{(x - 4)(2x + 1)}{(x - 4)(x - 1)} \\ \frac{2x + 1}{x - 1} \\ [/tex]

Answer:

m∠1 = 107 degrees

m∠2 = 73 degrees

Step-by-step explanation:

1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.

2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.

Therefore, m∠2 = 73 degrees.

Creating an expression for the scenario, the Number of players that can be brought to the tournament is 21.

Given the Parameters :

We could represent the expression to calculate the number of players thus :

Total amount raised = (Bus rent + (amount per player × number of Players))

1405.25 = 822.50 + 27.75x

1405.25 - 822.50 = 27.75x

582.75 = 27.75x

x = (582.75÷27.75)

x = 21 players

Therefore, the Number of players would be 21.

Learn more : https://brainly.com/question/16102577

Median x˜ 18.5

that is the answer.

Answer:

x = -10

Step-by-step explanation:

-2x - 10y = 20 (plug y=0)

-2x = 20

x = 20/-2

x = -10

Answer:

7*7=49

Step-by-step explanation:

x2y

7*2*9

=129

7*9

=63

9*2

=18

7*2

=14

7*7

=49

Answer:

pretty sure it's 65

Step-by-step explanation:

They're usually congruent for these type of angles. Also, y would be 50

Answer:

x = 50°

Step-by-step explanation:

y = 65° because the base angles of an isosceles triangle are equal

x = 50° because angles in a triangle add up 180°

4. A: y= 2x + 6

B: y= x + 9

5. (3,12)

6. C: a pizza with 3 toppings will equal $12 at either restaurant

Answer:

46

Step-by-step explanation:

1 sum  42+4

Answer:

-12

Step-by-step explanation:

Answer:

-8(-4+x)

Step-by-step explanation:

This is because the value of all the numbers never changes. Because

"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.

Hope this helps! :)

Answer:

No solutions

Step-by-step explanation:

I hope my answer help you.

Answer:

(- 6, 5 )

Step-by-step explanation:

Substitute x = - 6 into the equation and solve for y

[tex]\frac{2}{3}[/tex] (- 6) + y - 1 = 0 , that is

- 4 + y - 1 = 0

y - 5 = 0 ( add 5 to both sides )

y = 5

Then solution is (- 6, 5 )

Answer:

1.5 Or C :)

Step-by-step explanation:

Answer:

2373.8 dollars

Step-by-step explanation:

3652 times 35% equals 1272.2 so 3652 - 1272.2 = 2372.8

Answer:

x = 4.5

Step-by-step explanation:

[tex]\frac{x}{3}[/tex] = 1.5 ( multiply both sides by 3 to clear the fraction )

x = 3 × 1.5 = 4.5

Answer:

Vertex form: f(x) = – (x – 3)² – 1  

vertex: (3, -1)

Step-by-step explanation:

Given the quadratic function, f(x) = -x²+ 6x -10:

where a = -1, b = 6, and c = -10

The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.

To find the vertex, (h, k), you need to solve for h by using the formula:  [tex]h = \frac{-b}{2a}[/tex]

Plug in the values into the formula:

[tex]h = \frac{-b}{2a}[/tex]

[tex]h = \frac{-6}{2(-1)} = 3[/tex]

Therefore, h = 3.

Next, to find the k, plug in the value of h into the original equation:

f(x) = -x²+ 6x -10

f(x) = -(3)²+ 6(3) -10

f(x) = -1

Therefore, the value of h = -1.

The vertex = (3, -1).

Now that you have the value for the vertex, you can plug these values into the vertex form:

f(x) = a(x - h)² + k

a =  determines whether the graph opens up or down, and makes the parent function wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Plug in the vertex, (3, -1) into the vertex form:

f(x) = – (x – 3)² – 1  

This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.