Work out
m
and
c
for the line:
3
x
+
2
y
−
1
=
0

Answer:

y = 12x

Step-by-step explanation:

Note the relationship

x = 3 : y = 36 , that is 36 = 12 × 3

x = 4 : y = 48, that is 48 = 12 × 4

x = 5 : y = 60 , that is 60 = 12 × 5

x = 6 : y = 72 , that is 72 = 12 × 6

The value of y is obtained by multiplying corresponding x value by 12

Then

x = 7 → y = 12 × 7 = 84

in general for any x

y = 12x

Answer:

7.5 hours

Step-by-step explanation:

y=mx+b, where y is cost and x is hours.

175 = 20x + 25

150 = 20x

7.5 = x

He worked 7.5 hours

Answer:

7

Step-by-step explanation:

all sides in equilateral triangle are equal so side to the bottom is 56ft

base sides same in isosceles triangle so 56 = 8x

8x=56

56/8 is 7

Answer:

48

Step-by-step explanation:

You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.

150 * 0.32 = 48

Step-by-step explanation:

when finding the percentage of a number, multiply the number by the percentage's decimal form.

here's an example: 20% of 300

20% is 20/100 which is 0.20

now we just multiply

0.20×300=60

now for 32% of 150

32%--->32/100---->0.32

0.32×150=48

there you go! hope that helped

Step-by-step explanation:

44 ÷ 33

= 1.333333333..........

Hope it's helpful.

Answer:

244140625

5¹²

it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.

Answer:

Function is slightly increasing

Step-by-step explanation:

PLATO

Answer:

A. 4

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (0, 1)

Point (-1, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

The answer is A. 4

Step-by-step explanation:

Identify points.

Point (0, 1)

Point (-1, -3)

Simply plug in the 2 coordinates into the slope formula to find slope m.

[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]

[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]

Step-by-step explanation:

sqrt(12×a³b⁵) × sqrt(6×ab²)

the content of multiplied square roots can be combined into one square root :

sqrt(12×6×a³×a×b⁵×b²) = sqrt( 72a⁴b⁷) =

= sqrt(4×9×2 × a⁴ ×b⁶×b) = 2×3×a²×b³×sqrt(2b) =

= 6a²b³×sqrt(2b)

Answer: The value will increase by one as B increases by one or so on

Step-by-step explanation:

Answer:

It increases

Step-by-step explanation:

Answer:

Not a because it is only consistant with x not y because it goes 1 2 4 then 6

not b because only consistant with x not y because it goes 1 2 2 2

It is c because it goes 2 4 6 and 8 which is a consistent rate of two.

Step-by-step explanation:

Answer:

48 ft 2

Step-by-step explanation:

The radius is 4 ft because it is half of the diameter.

3 * 4^2 = 3 * 16 = 48

Answer:

b

Step-by-step explanation:

The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].

The given parameters:

The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;

total segment = 5 + 6 = 11

The value of each partition on the directed line segment is calculated as follows;

[tex]partition = \frac{1}{11} \times distance[/tex]

The distance between point D and point E is calculated as follows;

[tex]D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9[/tex]

The partition of the two points (D to E) is calculated as follows;

[tex]partition = \frac{1}{11} \times 9 = 0.82[/tex]

Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].

Learn more about partition of line segments here: https://brainly.com/question/4429522

Answer:

B

Step-by-step explanation:

edge2021

Answer:7

Step-by-step explanation:(67-25) divided by 6

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Subtract the flat rate from the total first:

67-25 = 42

Now divide that by total hours:

42/6 = 7

Answer: $7 per hour

Rewrite both fractions with a common denominator:

8/11 x 5 = 40/55

3/5 x 11 = 33/55

40/55 is greater than 33/55 so 8/11 is greater than 3/5

Answer:

c=$214.28

Step-by-step explanation:

Since you have the (p) value (p=285.7) all you need to do is plug it into one of these two equations

c=0.75p --- c=0.75(285.7)= 214.275-- 214.28

c=0.4p+100 --- c= 0.4(285.7) + 100 --- c= 114.28 +100 -- c= 214.28

either way its the same, just plug it into one or the other

Functions can be represented using equations, graphs and tables.

The function is given as:

[tex]a(l) = \frac 12 l^2[/tex]

When l = 1, we have:

[tex]a(1) = \frac 12 \times 1^2[/tex]

[tex]a(1) = 0.5[/tex]

When l = 2, we have:

[tex]a(2) = \frac 12 \times 2^2[/tex]

[tex]a(2) = 2.0[/tex]

When l = 3, we have:

[tex]a(3) = \frac 12 \times 3^2[/tex]

[tex]a(3) = 4.5[/tex]

When l = 4, we have:

[tex]a(4) = \frac 12 \times 4^2[/tex]

[tex]a(4) = 8.0[/tex]

Represent the above results as a table, we have:

l          a(l)

1          0.5

2         2.0

3          4.5

4          8.0

Read more about tables and functions at:

https://brainly.com/question/13136492

7/8 minus1/4 minus 1/2

7/8 - 1/4 - 1/2 =

(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =

7/8 - 2/8 - 4/8 =

(7 - 2 - 4)/8 =

1/8

the answer is 1/8

Step-by-step explanation:

female workers:2250

% female workers:?

First, find the percentage of workers who aren't men since we are told the number of workers who aren't men

100-55=45

Therefore 45% of workers aren't men

Let the total number of workers =x

Now form an equation for the problem

[tex]x \times \frac{45}{100} = 2250[/tex]

[tex]x = 2250 \div \frac{45}{100} [/tex]

[tex]x = 5000[/tex]

Therefore, there are 5000 workers in total

Answer:

Number of baskets with 12 pieces of fruit: 15

Number of baskets with 15 pieces of fruit: 45

Step-by-step explanation:

25% x 60 = 0.25 x 60 = 15

75% x 60 = 0.75 x 60 = 45

The complete model for the given question is;

Number of fruit baskets that contain 12 fruits = 15 baskets

Number of fruit baskets that contain 15 fruits = 45 baskets

We are told that he bought 60 fruit baskets.

Percentage of the fruit baskets that have 12 pieces of fruit = 25%

Percentage of the fruit baskets that have 15 pieces of fruit = 75%

Thus;

Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets

Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets

Read more about percentages at; https://brainly.com/question/11865045

Answer:

65 miles per hour.

Step-by-step explanation:

You can divide 325 by 5 to get how many miles she drove per hour :)

Answer:

65mph

Step-by-step explanation:

Divide 325 by 5 to get your answer.

The formula for speed is speed=Distance/Time

So take the total distance, and divide it by the time

Answer:

3 hours or more

Step-by-step explanation:

why because of the games and entertainment

Answer:

answer c would be correct because the model both moved and rotated.

Answer:

The graph for y = (1/2)x + 1 is C.

Step-by-step explanation:

y = (1/2)x + 1

This line has a slope of 1/2.  That is a positive line, so option A is incorrect.  It also has a y-intercept of 1.  The value of y when x is zero is 1.  There are two graphs in which the line intersects (0,1):  A and C.  But A has already been rejected, so it must by Graph C:  

Double check this to see if the slope is 1/2.  Does y increase by 1/2 for every step of 1 on x?  Graph C:

x     y

-2     0

-1      1/2

0       1

+1      1 1/2

+2      2

Yes:  Y increases by (1/2) for every x increase of 1.

The graph for y = (1/2)x + 1 is C.

Answer:

homeostasis

Step-by-step explanation:

Homeostasis refers to the body's ability to maintain a stable internal environment (regulating hormones, body temp., water balance, etc.).

Answer:

Homeostasis is the ability to maintain a relatively stable internal state that persists despite changes in the world outside. All living organisms, from plants to puppies to people, must regulate their internal environment to process energy and ultimately survive.

The maintenance of stable, constant, internal conditions is called homeostasis. ... Like the walls of a house, cell membranes protect the inside of cells and maintain homeostasis through molecular transport. Controlling how much of which molecules enter or leave a cell allows cells to function properly.

Step-by-step explanation:

Answer:

im pretty sure that the answer is -50.5 feet.

Step-by-step explanation: