For Jack's lemonade recipe, 12 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?

Answer:

y=2.5x+10

Step-by-step explanation:

The given line is y=2.5x+4.

Here, the slope of the line, [tex]m_0=2.5[/tex] and

the y-intercept of the line, [tex]C_0=4[/tex].

The graph of the line has been shown in the figure.

The parallel lines never intersect each-other and always have a fixed distance between then.

Mathematically, a line having the slope, m, and the y-intercept, C, i.e

y=mx+C is parallel to the given line if it has equal slopes, [tex]m=m_0[/tex], and different intercepts, [tex]C\neq C_0[/tex].

So, the equation of the parallel line is

y=2.5x+C, where [tex]C\neq 4[/tex].

For example, take C=10 than the equation of a parallel line is

y=2.5x+10 has been shown in the graph.

Like this, there are infinitely many possible parallel lines to the given line.

Answer:

9(1 + x + y)

Step-by-step explanation:

[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

5.94 rounded up to the neares tenth is 10

Step-by-step explanation:

logic also I don't think there is a next step

Answer:

(2,2)

Step-by-step explanation:

mid point formula: x1+x2/2      y1+y2/2

5+(-1)=4/2=2

8+(-4)=4/2=2

(2,2)

Answer:

If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line  is a perpendicular bisector of the connecting line segments.

Step-by-step explanation:

Answer:

x = 14.75

Step-by-step explanation:

I just used the equation 6x + 10 and replaced the x with every single answer choice. Angle B kinda looks like it's close to a 90⁰ angle but a little more so I chose the answer that fit well with my statement.

Answer:

There were 5 phones sold and 10 accessories sold.

Step-by-step explanation:

Answer:

3000 feet or 1000 yards because there are 3 feet in a yard, and make sure there is a squared sign at the end of ft or yards( ft^2)    (yd^2)

Step-by-step explanation:

Answer:

I will help you but is there any picture that can help me answer the question?

Answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

Step-by-step explanation:

So we know that Θ is acute and that:

[tex]\cos(\theta)=6/7[/tex]

First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.

The Pythagorean Identity is:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

We know that cosine is 6/7. Substitute:

[tex]\sin^2(\theta)+(\frac{6}{7})^2=1[/tex]

Square:

[tex]\sin^2(\theta)+\frac{36}{49}=1[/tex]

Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:

[tex]\sin^2(\theta)=\frac{49}{49}-\frac{36}{49}[/tex]

Subtract:

[tex]\sin^2(\theta)=\frac{13}{49}[/tex]

Take the square root of both sides:

[tex]\sin(\theta)=\pm\sqrt{\frac{13}{49}}[/tex]

Simplify:

[tex]\sin(\theta)=\pm\frac{\sqrt{13}}{7}[/tex]

As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

and we're done!

Answer:

The first siding should be located at 30 miles

The time for the freight to arrive at the siding is 40 minutes

Step-by-step explanation:

From the given information:

Let [tex]T_f[/tex] represent the time for the freight train

Also, let [tex]T_P[/tex] represent the time at which the passenger train reach the location

Let Y represents the location where the location of the siding of the track needed to take place.

Thus, for freight time:

[tex]T_f = \dfrac{Y}{45} --- (1)[/tex]

The siding location is:

[tex]T_P = \dfrac{2}{6}+\dfrac{Y}{70}[/tex]

[tex]T_P =0.333+\dfrac{Y}{70} --- (2)[/tex]

To determine Y:

[tex]T_P -T_f = 0.1 --- (3)[/tex]

replacing the value of [tex]T_f[/tex]  and [tex]T_P[/tex] in the above equation (3), we have:

[tex]0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1[/tex]

collecting like terms, we have:

[tex]\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333[/tex]

[tex]\dfrac{45Y- 70Y}{3150} =-0.233[/tex]

[tex]\dfrac{-25Y}{3150} =-0.233[/tex]

- 25Y = -0.233 × 3150

- 25Y = -733.95

Y = -733.95/-25

Y = 29.36 miles

Y [tex]\simeq[/tex] 30 miles to the nearest whole number

Thus, the first siding should be located at 30 miles

To estimate the time for the fight to arrive the siding, we replace 30 miles for [tex]T_f[/tex] in equation (1).

Then, we have:

[tex]T_f = \dfrac{Y}{45}[/tex]

[tex]T_f = \dfrac{30}{45}[/tex]

[tex]T_f =0.667\ hr[/tex]

[tex]T_f =(0.667 \times 60 )minutes[/tex]

[tex]T_f =40.2 \ minutes[/tex]

[tex]\mathsf{T_f \simeq 40 \ minutes}[/tex]

Thus, the time for the freight to arrive at the siding is 40 minutes

Answer:

9.

Step-by-step explanation:

I am assuming that the two numbers are positive.

Let the numbers be 3x and 7x.

Then 3x * 7x = 19

21x^2 = 189

x^2 = 9

x = 3.

So the smaller of these numbers is 3*3 = 9.

Answer:

9 if that does not work try - 21

Step-by-step explanation:

Let the two numbers be x and y

x/y = 3/7               which means that x is the smaller number.

x*y = 189

Cross multiply the top equation

7x = 3y      

Divide by 7

x = 3/7 ^ y

x*y = 189

(3/7  y) * y = 189

Multiply by 7

3y^2 = 189*7

3y^2 = 1323

Divide by 3

y^2 = 441

Take the square root of both sides

y = 21

The question is a bit ambiguous. You could use - 9 and - 21 in which case the smallest number is -21. I think they intend 9 however.

x = 3/7 * 21

x = 3*3

x = 9

Check

x*y = 9 * 21 = 189

Set [tex]y = f^{-1}(x)[/tex] and [tex]f(y) = x[/tex]

Interchange the variables [tex]x[/tex] and [tex]y[/tex]

[tex]3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}[/tex]

Answer:

Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.

Step-by-step explanation:

Answer:

1. x=6, 2. x=14 3. x= -2, and 4. x=6.5

Step-by-step explanation:

1. 120=20x, x=6.

2. 47=2x+19, x=14

3. 4x+3=2x-1, x= -2

4. 3x+4+7x+11=180, x=6.5

Answer:

Positive

Step-by-step explanation:

Two negatives make a positive.

It is 28 feet far above form the ground.

1225=441+B^2

1225-441=B^2

784=B^2

√784=√B^2

28=B

B=28 feet

Answer:0.300

Step-by-step explanation:Just took something familiar

Answer:

0.31

Step-by-step explanation:

Answer:15/28

Step-by-step explanation:

3/7 divided 4/5

3/7x5/4=15/28

Answer: 3/7 x 5/4

Step-by-step explanation: 3/7 ➗ 4/5 = 15/28

3/7 x 5/4 = 15/28

Answer:

Step-by-step explanation:

C

The lines are have one solution and are consistent and Independent.

Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.

Given:

y = 0.5x

2y = x + 4

Now solving the Above Equation

2(0.5x) = x+ 4

x = x+ 4

0 = 4

and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]

Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]

Then, the lines are have one solution and are consistent and Independent.

Learn more about Consistent and Inconsistent here:

https://brainly.in/question/31728105

#SPJ2

Complete Question

Which of the following statements are true and which are false? Give reasons for your answers.

(i) Only one line can pass through a single point.

(ii) There are an infinite number of lines which pass through two distinct points.

(iii) A line can be produced indefinitely on both sides.

(iv) If two circles are equal, then their radii are equal.

(v) if AB=PQ and PQ=XY, then AB=XY.

A (i),(ii) - True

  (iii),(iv),(v)-False

B(i),(ii),(iii) -True

  (iv),(v)-False

C   (i),(ii) -False

     (iii),(iv),(v)-True

D  (i),(ii),(iii) -False

    (iv),(v)-True

Answer:

The  correct option is  C

Step-by-step explanation:

    i is false because several lines can pass through a single point

    ii is false because only one line can pass through two distinct points

    iii is true because you can extend a line from both points (start and  end points )

      iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal

       v is true because from Euclid's First Axiom , if a=  c and c =  d  the  a =  d

Answer:

24 23/100

Step-by-step explanation:

Answer:1 centiliter

Step-by-step explanation:1 centiliter equals 0.01 liters

Answer:

41.25

Step-by-step explanation:

if x=7.5 in order to find 5.5x you would multiply 5.5 by 7.5

=41.25

Answer:

41.25

Step-by-step explanation:

5.5(7.5) Stubstitue the varuable for the value

41.25 Multiply

Answer:

Step-by-step explanation:

K(0 , 4)

Midpoint M (3 , 3)

Let Point  L(x₂ , y₂)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\[/tex]

Compare x and y coordinates

[tex]\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3[/tex]

Cross multiply,

x₂ = 3*2     ; 4 + y₂ = 3*2

x₂ = 6        ;  4+ y₂ = 6

                         y₂ = 6- 4

                          y₂ = 2

L(6 , 2)

Answer:

6,2

Step-by-step explanation:

I don't think you want to know how I did it, it's pretty boring for most people except me

Answer:

4:1

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

-3/7 * ( x-52)

Let x = 10

-3/7 ( 10-52)

-3/7 * -42

-3 * -42/7

-3 * -6

18

answer

0

Step-by-step explanation:

you plug in the 2 into every xbox value

Answer:

f(x)= x²-2x

For finding f(x²), replace x with x²

f(x²)= (x²)²-2x²

= x⁴-2x²

Hope it helps :-)

Answer:

17

Step-by-step explanation:

Answer:

22-5=17 the answer is 17

Answer:

6 and 7

Step-by-step explanation:

I think you mean 'the sq rt of 48 lies between what 2 integers.'

The answer is 6 and 7.