A machine can make 56 parts in 4 hours.It can also make 70 parts in 5 hours. Write an equation that relates the number of parts the machine can make and the time in hours.Predict how many parts the machine can make in 9 hour and 30 minutes.

Answer:

3y - x = 3

Step-by-step explanation:

The slope intercept form of the equation is expression is y = mx+c

m is the slope

c is the y inercept

From the graph

c = 1

Using the coordinates (-3, 0) and (0, 1)

m = 1-0/0-(-3)

m = 1/3

Get the required equation

y = 1/3x + 1

Multiply through by 3

3y = x + 3

3y - x = 3

Hence the required equation is 3y - x = 3

Answer:

x=-0.5

Step-by-step explanation:

the question is -9=18x

we divide both sides by 9

-1=2x

divide both sides by 2

x=-0.5

Answer:

-18

Step-by-step explanation: -12 - 3 - 3 sence 2 hours passed

i think is the answer

Answer:

36 Quarters and 3 dimes

Step-by-step explanation:

4 x 9 = 36

10 x 3 + 30

Answer:

28 quarters and 23 dimes

Step-by-step explanation:

q = d + 5

.25a +.1d = 9.30

.25(d+5) +.1d = 9.30

.25d + 1.25 +.1d = 9.30

.35d = 8.05

d = 23

23 + 5 = 28

q = 28

Answer:

A lot

Step-by-step explanation:

. Some are equal to others and some are not.

. Some are halves, whole.

. There are improper ones and mixed numbers.

............ Thats all i got so far im learning more about them now

Answer:

Step-by-step explanation:

+ k is f(x) = x2. The vertex of the function g(x) is loca… ... The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located at (9, –8). What are the values of h and k? g(x) = (x – )2 +. 1.

Answer: D.31

Step-by-step explanation: 4(2)^3-10 = 22 then take that into 3(22)-4/2 = 31

The value of the composition of function g ( f ( 2 ) ) = 31

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 4x³ - 10

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = ( 3x - 4 ) / 2

The composition of function is g ( f ( 2 ) )

Now , the value of f ( 2 ) = 4 ( 2 )³ - 10

f ( 2 ) = 32 - 10 = 22

And , the value of g ( 22 ) = [ 3 ( 22 ) - 4 ] / 2

g ( 22 ) = 62 / 2 = 31

Hence , the value of the function is g ( f ( 2 ) ) = 31

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Answer: -x + 51

(this has to be 20 charectors long so just filling in the blank lolz)

Answer:

Step-by-step explanation:

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

Answer:

from left hand side:tan^2/secx=(,sin^2x/cos^2x)/(1/cosx)=sin^2x/cosx=sinx×sinx/cosx=sinx.tanx=right hand side.verified.

Answer: 4(5 + 4)

Step-by-step explanation:  Both 16 and 20 are multiples of 4, so factor out 4 and  leave the remaining factors in parentheses

4*5 + 4*4  becomes

4(5 + 4) add  inside parentheses

4(9)  multiply to check

4 × 36

same as adding 20 + 16 = 36

Answer:

Cost of one rocket = $1.5

Step-by-step explanation:

Given:

6 rockets and 11 bombs cost = $36.50

14 rockets and 8 bombs cost = $41

Find:

Cost of one rocket

Computation:

Cost of one rocket = x

Cost of one bomb = y

So,

6x + 11y = 36.50.....eq1

14x + 8y = 41......eq2

From eq1

y = [36.50 - 6x]/11

From eq2

14x + 8y = 41

14x + 8[36.50 - 6x]/11 = 41

x = 1.5

Cost of one rocket = $1.5

Answer:

$23,077

Step-by-step explanation:

Let the minimum amount you want to earn be represented as x

Therefore

6.5% of x = $1,500

6.5/100 × x = $1500

6.5x/100 = $1500

Cross Multiply

6.5x = $1500 × 100

x = $1500 × 100/6.5

x = $23076.923077

Approximately to the nearest dollar= $23,077

Therefore, the minimum amount he needs to sell in order to earn $1,500 if he earns a 6.5% commission on everything he sells is $23,077

Answer:

the answer is B, complementary angles

Step-by-step explanation:

complementary angles are two angles that add up to 180 degrees

105 + 75 = 180

Answer:

x=160/7 ° .    or 22 6/7°

Step-by-step explanation:

Vertical angles

16x + 40° = 360 .   360-40 = 320

320°/14

x=160/7°

Answer:

If not a test ill help

Step-by-step explanation:

Answer:

2.55 is the unit rate

Answer:

-3

Step-by-step explanation:

Note the right side of the equation. There is a negative sign outside of the parenthesis. Distribute the negative sign to all terms within the parenthesis:

x + 3 = - (-x + __)

x + 3 = x - ___

Note:

1) When multiplying a negative and positive together, the answer will be negative

2) When multiplying a negative and negative together, the answer will be positive:

x + 3 = x - ___

Note the equal sign, this means that the two side of the equation must equal. This means that the only answer choice is -3:

x + 3 = x - (-3)

x + 3 = x + 3 (True)

~

Answer:

16 deliveries in each hour

Step-by-step explanation:

1. 288 divided by 18 hours

2. 288 divided by 18 = 16

3. So in each hours she delivers 16 packages

Answer:

false

Step-by-step explanation:

because the answer would be 4

Answer:

True

Step-by-step explanation:

4(2)-1<2(2)+7

7<11 true

Answer:

5 D

6 D

hsjsjsainsownx s hq

Answer:

1) D.

6) D.

Step-by-step explanation:

6)

The line is a negative slope. y-intercept: (0, -4) and the x-intercept: (-2, 0)

So to get the slope, use this equation, and use (-2, 0) and (0, -4):

[tex]\frac{y^2-y^1}{x^2-x^1} \\\\[/tex]

[tex]\frac{0-(-4)}{-2-0} \\= -2[/tex]

Answer:

The value of x is 84 and the remaining angles are: 76° and 86°

Step-by-step explanation:

Given three angles are

18

x-8

and

x+2

We have to find the angles and for that we have to find the value of x

As we know that the sum of internal angles of a triangle is 180°

So,

[tex]18+(x-8)+(x+2) = 180\\18+x-8+x+2 = 180\\2x+12 = 180\\2x = 180-12\\2x = 168\\x = \frac{168}{2}\\x = 84[/tex]

And the angles are:

x-8 = 84-8 = 76

x+2 = 84+2 = 86

Hence,

The value of x is 84 and the remaining angles are: 76° and 86°

Answer:

-692784311700

Step-by-step explanation:

Answer:

The measure of the red angle says 20 degrees

the other angle is 70 degrees

Step-by-step explanation:

Answer:

B. 86 degrees

Step-by-step explanation:

Given the following angles

m∠NOP = 24

m∠NOQ = 110

Required

m∠POQ

The following addition postulate is true for the angles

m∠NOQ = m∠NOP + m∠POQ

m∠POQ = m∠NOQ -m∠NOP

Substitute the angles given into the formula:

m∠POQ  = 110 - 24

m∠POQ  = 86°

Hence the measure of angle POQ is 86 degrees

Answer:

x=5/32

Step-by-step explanation:

hope this helps!

Answer:

The answer is 125 eggs.

The total number of eggs required will be 125.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-

Number of eggs = 5 x 5 x 5

Number of eggs = 125

Therefore, the total number of eggs required will be 125.

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Answer:

Step-by-step explanation:

You and your family of 5 bought  2 canoes.

Your were on the river for 5 hours. How much did your trip cost?

Answer:

Volume of the cylinder = 62.4 cm³

Step-by-step explanation:

Volume of a cylinder = area of base × height of the cylinder

Area of base = 15.6 square centimeters

Height of the cylinder = 4 centimeters

Volume of a cylinder = area of base × height of the cylinder

= 15.6 cm² × 4 cm

= 62.4 cm³

Volume of the cylinder = 62.4 cm³

Answer:

3 4/33

Step-by-step explanation: