If you can buy one can of pineapple chunks for $2 then how many can you buy with $10?(WITH PROPORTIONS PLEASE)

Answer:

1)

[tex]\text{ Slope = -3}[/tex]

2)

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

[tex]m=\frac{3-(-4)}{-1-7}[/tex]

Subtract. So, our slope is:

[tex]m=\frac{7}{-8}=-7/8[/tex]

2)

Now, let's use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

[tex]y-(-4)=-\frac{7}{8}(x-7)[/tex]

Simplify. So, our point-slope equation is:

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

[tex]y+4=-\frac{7}{8}x+\frac{49}{8}[/tex]

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

[tex]y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}[/tex]

Subtract. So, our slope-intercept equation is:

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

And we're done!

Answer: Shown Below

Step-by-step explanation:

1. -7/8

2. y+4= (-7/8)(x-7)

3. y=(-7/8)x+ (17/8)

Just did it

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

Answer: 50,499

Step-by-step explanation:

Since you are calculating the salary after 4 years, 4 would be the value of T. you then just solve the equation, so because of PEMDAS you plug in 1.06 to the 4th and then multiply it by 40,000, resulting in 50,499.

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Answer:

(- 5, 0 ), (7, 0 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, - 108 ), thus

y = a(x - 1)² - 108

To find a substitute (0, - 105 ) into the equation

- 105 = a(- 1)² - 108 ( add 108 to both sides )

3 = a

y = 3(x - 1)² - 108 ← equation in vertex form

To find the x- intercepts, let y = 0, that is

3(x - 1)² - 108 = 0 ( add 108 to both sides )

3(x - 1)² = 108 ( divide both sides by 3 )

(x - 1)² = 36 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{36}[/tex] = ± 6  ( add 1 to both sides )

x = 1 ± 6, so

x = 1 - 6 = - 5

x = 1 + 6 = 7

x- intercepts are (- 5, 0), (7, 0)

Answer:

B (from down below) They are similar but your q does not match up with the picture

Step-by-step explanation:

to determine if two triangles are similar you have to make sure the ratios are the same. So 10 / 8 = 1.25, so all sides should have this ratio. 15 / 12 is also 1.25 so you know to sides are similar and also the triangles ARE SIMILAR. So The statement would be KMN is similar to KLP.

Answer:

E. 4 shifts

Step-by-step explanation:

L.C.M. of 18 and 24

18=2×3×3

24=2×2×2×3

L.C.M.=2×2×2×3×3=72

so after 72 hours time will be same

or 72/18=4 shifts

Answer:

-7 8/10  =  b

Step-by-step explanation:

Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10.  Then we have:

(11/3)b + b = 6b - 104/10.

This simplifies to b( (11/3) + 1 - 6) = 104/10, or

                             b(11/3 - 15/3) = 104/10, or

                             b( -4/3 ) = 104/10

Multiplying both sides by -3/4 isolates b, as desired:

                                                     -3(104)

                             (-3/4)(-4/3)b = -------------

                                                        4(10)

Then b = -312/40, or -156/20, or -78/10, or -7 8/10  =  b

The value of b from the expression given will be b= -7 8/10 .

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given an expression as;

4 1/3b + b = 6b–10.4

Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10, Then we have:

(11/3)b + b = 6b - 104/10.

This simplifies as;

b( (11/3) + 1 - 6) = 104/10, or

b(11/3 - 15/3) = 104/10, or

b( -4/3 ) = 104/10

Multiplying both sides by -3/4 isolates b, as desired:

-3(104)

(-3/4)(-4/3)b = -4(10)

Then b = -312/40,

or -156/20,

or -78/10,

or -7 8/10  =  b

Therefore the value of b from the expression given will be b= -7 8/10 .

Learn more about equations here;

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Answer:

a. 0.2061*2000 apples = 412.20 or about 412 apples.

b. 0.2389*2000 apples = 477.8 or about 478 apples.

Step-by-step explanation:

We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).

The parameters for this normal distribution are (without using units):

The mean, [tex] \\ \mu = 8.2[/tex].

The standard deviation, [tex] \\ \sigma=2.8[/tex]

We need to use z-scores, given by:

[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]

For a diameter smaller than 5.9cm, we have:

[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]

The value for z:

[tex] \\ z = -0.82142 \approx -0.82[/tex]

Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).

Then, P(z<-0.82) = 0.2061

How many apples would have a diameter: a) smaller than 5.9cm?

The answer is 0.2061*2000 apples = 412.20 or about 412 apples.

How many apples would have a diameter: b) larger than 10.2cm?

We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.

[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]

[tex] \\ z = 0.71428 \approx 0.71[/tex]

Then, P(z<0.71) = 0.7611

But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):

P(z>0.71) = 1 - P(z<0.71)

P(z>0.71) = 1 - 0.7611

P(z>0.71) = 0.2389

The answer is 0.2389*2000 apples = 477.8 or about 478 apples.

Answer: the elementary 45

Step-by-step explanation: if you need anything else let me know

To find the minimum value of function 1, we need to find the vertex. The formula for the x-coordinate of the vertex is -b/2a, which is -1 in this equation. However, to find minimum and maximum values, we need to look at the y-coordinate. f(-1) is 4, which we know is a minimum (rather than a maximum), because the leading coefficient is positive -- so the parabola opens upwards. So, the minimum value of f(x) is 4, and the coordinate is (-1, 4).

From the table, the minimum value of g(x) is 3, and the coordinate is (0, 3).

Therefore, function 2 has the lowest minimum value, with coordinates (0, 3).

Answer:

(0, 1)

Step-by-step explanation:

The point lies on the line x = 0.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(0, 1)

Answer:

$5 per ticket

Step-by-step explanation:

If you put it into a ratio of movie tickets to cost it will be 7 : 35

When you simplify it the ration will be 1 : 5

Answer:

$5 per ticket . # Unit rate.

Step-by-step explanation:

7 tickets costs =$35

therefore, 1 ticket cost = $35÷ 7

= $5

Step-by-step explanation:

The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.

Answer:

The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.

Step-by-step explanation:

this was correct

Answer:

[tex]y=x-6[/tex]

Step-by-step explanation:

    First to write this equation you will need to know slope intercept form which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as [tex]y=mx+b[/tex] . The variable [tex]m[/tex] would be the slope while the variable [tex]b[/tex] would be the y -intercept.

    So to find out this we would have to assume that m or the slope would have to be 1 so we would have [tex]y=1x+b[/tex] or [tex]y=x+b[/tex].  

    Now we have the first half of the equation we can move on to the variable [tex]b[/tex] or the y-intercept (0,-6) . To find the variable [tex]b[/tex] we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be [tex]y=x-6[/tex]

Answer:

A. 34 miles

Step-by-step explanation:

First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.

The answer to this problem is A. 34 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.

Let 'y' be the total amount and 'x' be the number of miles. Then we have

y = 3.50x + 1.65

If Mohammad wants to spend, at most $60. Then the number of miles is given as,

60 = 3.50x + 1.65

3.50x = 58.35

x = 16.67

x ≈ 17 miles

The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.

More about the linear equation link is given below.

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Answer:

[tex]\boxed{17.156}[/tex]

Step-by-step explanation:

A rational number can be written in the form p/q, where p and q are whole integers.

[tex]\sqrt{15} \approx 3.87298334621...\neq \frac{p}{q}[/tex]

[tex]2.6457513110... \neq \frac{p}{q}[/tex]

[tex]17.156=\frac{4289}{250}[/tex]

[tex]\sqrt[3]{85} \approx 4.39682967216... \neq \frac{p}{q}[/tex]

17.156 is a rational number.

Answer: 3/2

Step-by-step explanation:

Hi, to answer this question we have to write the next expressions::  

Height 1= 8 +12 y

Height 2 =5 +14y

Where y = number of years

Since both heights must be the same

Height 1 = height 2

8+12y = 5+14y

solving for y:

8-5 =14y-12y

3 = 2y

3/2 =y

y = 3/2 years

Feel free to ask for more if needed or if you did not understand something.

8 + 12y = 5 + 14y

12y + 8 = 14y + 5

12y + 8 - 8 = 14y + 5 - 8

12y = 14y - 3

12y - 14y = 14y - 3 - 14y

-2y = -3

(-2y)/-2 = -3/-2

y = 3/2

Answer:

[x]   f(x)

[-6]  13

[-3]   4

[0]   1

[3]   4

[9]   28

Step-by-step explanation:

f(0) = (1/3)(0^2)+1 = 1

f(3) = (1/3)(3^2)+1 = 4

f(9) = (1/3)(9^2)+1 = 28

Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem

Step-by-step explanation:

Answer:

126

4m + 24.25 < 34.25

Answer:

Idek I just need points

Step-by-step explanation:

Umm

Answer:

C 15°

Step-by-step explanation:

Since the formula for converting Fahrenheit to Celsius is (F - 32) × 5/9

F = 59°

59 - 32 = 27°

27 × 5/9 = 27 divided by 9 is 3

3 × 5 = 15° Celsius

[tex]\frac{1}{15}[/tex] or 6.67%

In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.

Now, the probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]

From the question;

The event A is the situation of local residents having a post office box. Therefore the;

number-of-outcomes-in-the-event-A = 8   [since only 8 of the local residents have a post office box]

number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]

Therefore,

P(A) = [tex]\frac{8}{120}[/tex]

P(A) = [tex]\frac{1}{15}[/tex]

The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]

PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:

[tex]\frac{1}{15} * 100%[/tex]% = 6.67%

Answer:

I believe the answer is B. translation 6 units right, and then a 90 degree clockwise rotation about the origin.

Step-by-step explanation:

Because if you try a by reflecting it across the x axis and then tranforming it 6 units to the right you get a differenct graph. The same  thing happens if you try c by rotating 180 degress counter clockwise about the origin!

I hope this helps, if it does please mark brainliest!!! Thank you. Have a great day :)

Answer:

The correct answer is A. 600 square centimetres

Step-by-step explanation:

Let's recall that the formula of the surface area of a cube is:

A = 6s², where s  is the side length of the cube.

Replacing with the value we know, we have:

A = 6 * 10²

A = 6 * 100

A = 600 square centimetres

The correct answer is A. 600 square centimetres

Answer:

Step-by-step explanation:

( in 3hrs calculate distance)

,the cheetah will run 90 miles farther the cougar

pls mark my answer as the brainliest

Answer:

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

Answer:

B,MJAB=115°

D,mCBA=55°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Absolute maximum:  none

Absolute minimum:  -4.5 (when x = 2.5)

Relative maximum:  (-0.5, 4)

Answer:

y=1.5x

78

Step-by-step explanation:

y=1.5x

y=1.5(52)

y=78