The graph shows the relationship between time
and the number of soda bottles a machine can make use the points 4,180band (7,315) to find the number of soda bottles the machine can make each minute.

Answers

Answer 1

Answer:

45

Step-by-step explanation:

The points on the graph :

(4, 180) ; (7, 135)

x1 = 4 ; y1 = 180

x2 = 7 ; y2 = 315

The number of soda bottles the machine can make in a minute is the gradient or slope :

Gradient = change in y / change in x

Gradient = (y2 - y1) / (x2 - x1)

Gradient = (315 - 180) / (7 - 4)

Gradient = 135 / 3

Gradient = 45

Hence, the machine can make 45 soda bottles in a minute.


Related Questions

PLS HELP ME THIS IS SO HARD

Solve each equation.
Part A: p = 0.49
The value of p is
Part B: n3 = 125
The value of n is

Answers

Answer:

p=0.78837351631052428187102047390789

n=5

Chick-fil-A has three drive-thru lanes. Depending on the day and time of day, they sometimes
close all or some of the lanes. Let the random variable X represent the number of lanes that
are open on a randomly selected time during the week. The table shows the probability
distribution of X.

Part (a): What is the probability that at least one lane is open at a randomly selected time?
Part (b): What is the expected value of number of open lanes at a randomly selected time?
Part (c): What is the probability that all three drive-thru lanes are open, given that at least one lane is open?
Part (d): Given that at least one drive-thru lane is open, would the expected value of the number of open lanes be less than, equal to, or greater than the expected value from part b?

Answers

Answer:

Pls remind me am in a test I'll come back

Find the slope of the line passing through the points (-3, 7) and (2. –6).
Undefined
X
$
?

Answers

The slope is -13/5.
To find this you subtract the two y and get -13. You then do this with the x of the same two points and get -5. So the answer is -13/5, and you simplify if possible.

Simplify the expression:
(5x6) (3x-2)=15xn. Find "n"

Answers

Answer:

[tex]\frac{6x-4}{x}[/tex]

Step-by-step explanation:

(5 x 6)(3x - 2) = 15xn

30(3x - 2) = 15xn

[tex]\frac{2}{1}[/tex] * (3x - 2) = ([tex]\frac{1}{2}[/tex]xn) * [tex]\frac{2}{1}[/tex]

6x - 4 = xn

n = [tex]\frac{6x-4}{x}[/tex]

You can't cross the 'x' out of the numerator or denominator because of the - 4 in the numerator.

Answer:

(3×2) (5×6)=15×n

Step-by-step explanation:

(5×6) (3×2)=15n

Problem 1: Tyler reads 2/3 of a book on Monday, 1/3 of it on Tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?

Answers

Answer:

180 pages

Step-by-step explanation:

Let

x = total number of pages

Monday + Tuesday + Wednesday

2/15x + 1/3x + 2/9x

= (6x+15x+10x)/45

= 31/45x

Thursday

x - 31/45x

= (45x-31x)/45

= 14/45x

3/4 of 14/45x

= 3/4 * 14/45x

= 42/180x

Total pages read = 31/45x + 42/180x

= (124x+42x)/180

= 166/180x

If he still has 14 pages left to read on Friday

Total read from Monday to Thursday + Friday

x = 166/180x + 14

x - 166/180x = 14

(180x-166x)/180 = 14

14/180x = 14

x = 14 ÷ 14/180

x = 14 × 180/14

x = 180 pages

What is the reciprocal of
8/5

Answers

Answer:

0.025

Step-by-step explanation:

Answer: 0.025

Step-by-step explanation:

What is the rule for 180° rotation if the Origin is the center of rotation?

Answers

Answer:

Step-by-step explanation:

The rule for 180 and 180 degree rotation is this  (x,y)→(−x,−y)

180 and 180 degree rotation is this  (x,y)→(−x,−y)

Step-by-step explanation:

Help me out I gave Brainliest.

Answers

Answer:

8x+9y=3

Step-by-step explanation:

y=-8/9x+1/3

y=(-8x+3)/9....LCM

9y=-8x+3...cross multiple

9y+8x=3 OR

8x+9y=3

In one hour, a roadside stand sells 24 bouquets of flowers.
The stand starts operating at 9:00 AM and closes at 12:30 PM for a 30 minutes lunch break. If sales continue at the same rate, how many bouquets of flowers will the stand sell-by 6:00 PM?

Answers

Answer:

204

Step-by-step explanation:

Answer:

Bow Giap big answer big drip

Step-by-step explanation:

Aaaa

please help, would be greatful :)

Answers

Answer:

x ≈ 25.5°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = x°

Opposite Leg = 10

Hypotenuse = 21

Step 2: Solve for x

Substitute [tangent]:                    tanx° = 10/21Inverse trig:                                  x° = tan⁻¹(10/21)Evaluate:                                      x = 25.4633°Round:                                          x ≈ 25.5°

Someone pls help me I’ll mark u brainliest

Answers

Ok I will help 10 min

the center of a circle is 5 units below the origin, and the radius is 10 units. what is the equation of the circle?


x^2+(y+5)=10

(x+5)^2+y^2=10

x^2 + (y+5)^2=100

(x+5)^2+y^2=100

Answers

Answer:

x² + (y + 5)² = 100

Step-by-step explanation:

If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).

Using the equation of a circle with center (h, k)

(x - h)² + (y - k)² = r² where r = radius of the circle.

Given that r = 10 units, and substituting the values of the other variables into the equation, we have

(x - h)² + (y - k)² = r²

(x - 0)² + (y - (-5))² = 10²

x² + (y + 5)² = 100

which is the equation of the circle.

Answer:(c)

Step-by-step explanation:

Given

the radius of circle=10 units

The center is 5 units below the origin i.e. (0,-5) is the center

The general equation of a circle is

[tex](x-a)^2+(y-b)^2=r^2\quad [\text{Where, (a,b) is the center of the circle and r is radius}][/tex]

Putting values

[tex](x-0)^2+(y-(-5))^2=10^2\\(x)^2+(y+5)^2=100[/tex]

Second last option is correct

Write an equation of a line that passes through (7, 1) and is parallel to y= -x + 3.

Answers

Answer:

y=-x+8

Step-by-step explanation:

Plug in (7,1)

2 of 5
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many
students are girls?

Answers

Answer: 16 of the students are girls.

Step-by-step explanation:

3/5 = boys —> 60% of students.

2/5 = girls —> 40% of students.

40% = 0.4

G = 40 * 0.4

G = 16

Given,
Ratio of boys to girls = 3:5
Let the number of boys = 3x
Let the number of girls = 5x
Also given, total number of students in class = 40
So, 3x +5x = 40
8x = 40
x = 40/8
x = 5
Therefore, number of girls in the class = 5(5) = 25
Number of boys in the class = 3(5) = 15

The area of a rectangle is expressed as (12m + 18). If the width is 6, factor a 6 out of the expression to find the length of the rectangle

Answers

Answer: L = 2m+3

Step-by-step explanation: The area of a rectangle is found using the formula A=L*W. The area A=12m+18. The width is W=6. The length will be the expression where 6 times it gives 12m+18. The expression is 2m+3 since 6(2m+3) = 12m+18.

Pls help.... i dont really know how to find this slope ;/

Answers

Answer:

a

Step-by-step explanation:

the answer is a because every week it shows (shows on the graph) that he is earning 6 dollars.

Answer:

A

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ] and we can use the points (0, 0) and (5, 30) to solve.

30-0/5-0

30/5

6/1

6

Now that we know what the slope is, we can eliminate C and D.

This means that he saves around $6 per week. With this being said, we can eliminate B as well.

Best of Luck!

Which quotient shows the decimal placed correctly? A) 6÷0.5=1.2 B) 0.64÷2=3.2 C) 0.57÷5=0.114 D) 1.08÷0.3=0.36

Answers

Answer:

C) 0.57÷5=0.114

Step-by-step explanation:

Which quotient shows the decimal placed correctly?

Solving for each of the option

A) we are told that:6÷0.5=1.2

Hence: 6/0.5

= 12

Option A is wrong

B) we are told that: 0.64÷2=3.2

Hence: 0.64/2

= 0.32

Option B is wrong

C) we are told that: 0.57÷5=0.114

Hence: 0.57/5

= 0.114

Option C is correct

D) we are told that: 1.08÷0.3=0.36

Hence = 1.08/0.3

= 3.6

Option D is wrong

Therefore, option C is the only correct Option where the quotient shows the decimal placed correctly

If 1 gram = 100 centigrams and 1 centigram = 10 milligrams, how many
milligrams are in 1.42 grams?
0.142
142
1,420
14,200

Answers

Answer:

1,420 milligrams

Step-by-step explanation:

We know there are 100 centigrams in 1 gram, and there are 10 milligrams in a centigrams. That would mean there are 1,000 milligrams in 1 gram (100 * 10 = 1000).

As a result, all you need to do is multiply 1.42 by 1000 to get the amount of milligrams.

1.42 * 1000

Alternatively, to make 1.42 a whole number first, multiply by 100, then add a zero. (That's the other 10!)

(1.42 * 100) * 10

142 * 10

There are 1,420 milligrams in 1.42 grams.

the answer is guy above guy he answered correct

Multiply.
(8x+3)(-3x - 5)
Simplify your answer.

Answers

Hopefully this will help!

Keisha orders chicken alfredo for $9.99,
salad for $3.99, and a drink for $1.52. She
decides to leave a 10% tip for the waiter.
What will she owe total?

Answers

$9.99+ $3.99 + $1.52 = $15.50
10% =1/10 (just divide by 10)
$15.50 divided by 10 = $1.55

The temperature in London is 4 degrees Celsius on Monday. The temperature in Moscow is -12 degrees Celsius. What is the difference in temperature between the two cities?

Answers

4 - (-12) = 16

difference = 16 degrees celcius.

request: please mark brainiest, and click the thanks button if correct <3

solve x 3 to the second power =8​

Answers

Answer:

It would be B

Step-by-step explanation:

8/3=2.66666666667

meaning x=8/3

Is 8 feet ,10 feet ,12 feet a right triangle or not

Answers

no. that is not a right triangle!

Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of pi for answers that contain pi.

Answers

Answer:

125πkm

Step-by-step explanation:

The figure shown is a cylinder :

Volume of a cylinder is obtained using tbe relation :

V = πr²h

Where ; r = Radius ; h = height

r = 5km ; height = 5km

Hence,

V = π * 5² * 5

V = 25 * 5 * π

V = 125πkm

What is the most appropriate level of accuracy for measuring the height of a tree?
38.268 feet
38.27 feet
38. feet
38 feet

Answers

B) 38.37 feet

Hope this helps :)
Also can I get brainliest?
It’s ok if no:)
Have a nice day!

What is the distance from (5,-5) to (-5,-5)?

Answers

Answer: 10

Step-by-step explanation:

10 points
A pigeon flies for 7 hours at a speed of 70 km/h.
Calculate how far the pigeon flies.

Answers

Answer:

490km

Step-by-step explanation:

70km/hrs for 7hrs

so if the pigeon flies 70km in one hour we just have to multiply 70 by 7 to get 7hours.

70x7=490km

That means the pigeon flies 490km in 7hrs

Nrite and evaluate the expression. Then, complete the statements.
nine more than the product of seven and a number, decreased by three
The expression to model the situation is
The value of the expression when n = 8 is

Answers

Answer: 9 + 7n - 3 and 62

Step-by-step explanation:

Answer:

Write and evaluate the expression. Then, complete the statements.

 

nine more than the product of seven and a number, decreased by three

 

The expression to model the situation is  

✔ 9 + 7n – 3

.

The value of the expression when n = 8 is  

✔ 62

.

Step-by-step explanation:

State if each set of three numbers can be the lengths of the sides of a triangle.

Answers

Step-by-step explanation:

Imagine lying out 2 sticks with lengths 9 and 12

on the ground. The maximum length you can

get is by putting them in a straight line. (9 + 12 = 21)

However, 21 is less than 24, which is

supposed to be the 3rd side of the triangle.

Hence the set 9, 12, 24 cannot form a triangle.

(1, 2), (2, -1), (3,0), (4, 1), and (5, 1) Do those points represent a function? Explain why or why not.

Answers

Answer:

The relation is a function

Step-by-step explanation:

Given

[tex](1, 2), (2, -1), (3,0), (4, 1),\ and\ (5, 1)[/tex]

Required

Determine if the points is a function or not

A relation can be expressed as: [tex](x_1,y_1), (x_2,y_2),(x_3,y_3)......(x_n,y_n)[/tex]

Where

[tex]x = domain[/tex]

[tex]y = range[/tex]

When any domain element occurs more than once, then the relation is not a function.

The domain of the above points are:

[tex]x = \{1,2,3,4,5\}[/tex]

In this case, no domain occur more than once; in other words, no x value occur more than once

Hence, the relation is a function

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