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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week. (2 points)

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answer:

B

Step-by-step explanation:

Answer:

    [tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]      =   [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]

Step-by-step explanation:

Step(i):-

Given  expression

        [tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]

      = [tex]\frac{(x+3) }{(x^{2} +1)}[/tex]

Step(ii):-

    = [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]

Answer:

im pretty sure its a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B

Answer:

15x+9y= 360----------1

x+y= 30--------------2

Step-by-step explanation:

Step one:

given data

let adult be x

and child be y

A hairstylist charges $15 for an adult haircut and $9 for a child haircut

She wants to earn $360 dollars

15x+9y= 360----------1

and cut 30 haircuts this week

x+y= 30--------------2

Step two:

Hence the system of equations for the situation is given as

15x+9y= 360----------1

x+y= 30--------------2

Answer: $13.25 each ticket

Step-by-step explanation: 530 divided by 40

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Note: This question is very generic and incomplete. So, I will be using the general properties of operation for a general expressions for the sack of understanding and concept.

Solution:

There are several properties of arithmetic operations. But here, we will be discussing about the common properties of operations.

1. Commutative property of Addition

2. Commutative property of Multiplication

3. Associative property of Addition

4. Associative property of Multiplication

Let's Start,

1. Commutative property of Addition:

a + b = b + a

it means that if we add 2 to 3 or 3 to 2, the result will be same.

2 + 3 = 3 + 2

5 = 5

Similarly.

2. Commutative property of Multiplication:

a x b = b x a

it means that if we multiply 2 to 3 or 3 to 2, the result will be same.

2 x 3  = 3 x 2

6 = 6

3. Associative property of Addition:

Let's suppose we have 3 variables now,

a, b and c

so,

a + (b + c)  = (a + b) + c

2 + (3 + 5)  = (2 + 3) + 5

2 + (8) = (5) + 5

10 = 10

Similarly.

4. Associative property of Multiplication:

a x (b x c)  = (a x b) x c

2 x (3 x 5)  = (2 x 3) x 5

2 x ( 15) = (6) x 5

30 = 30

Hence, these operations are very useful in solving the bigger and complex questions in mathematics.

Step-by-step explanation:

Subtracts those with same units but given that 40" is lower than 50", we need to borrow from 50' which can be read as 50 minutes.

40" is read as 40 seconds. Since 1 minute has 60 seconds, we have:

40" + 60" = 100" and

50' - 1' = 49'

These values will yield 60° 49' 100"

Now that the upper values are higher than the one below, we can now perform the operation:

60° - 30° = 30°

49' - 40' = 9'

100" - 50" = 50"

Checking with a calculator:

Answer: you will spend 56$

Step-by-step explanation: 20% less is 2$ difference so you buy a medium pizza for 8$ times 7 is 56$

Answer:

1 pound for 90 cents

Step-by-step explanation:

7.20 / 8 = 0.90

5 star, thank, and brainliest if helpful

Answer:

$6.98

Step-by-step explanation:

0.29x+1.23y=Total amount

x=pounds of potatoes

y=pounds of onions

Substitute:

0.29(3.7)+1.23(4.8)

Multiply:

1.073+5.904

Add:

6.977

Round:

6.98

Answer:

The value of x = 8.5

The value of FG = 8.5 units

Step-by-step explanation:

Given

Determining the value of x

As F is between E and G, so

EF = FG

7 = 2(x-5)

7 = 2x-10

2x = 7+10

2x = 17

divide both sides by 2

2x/2 = 17/2

x = 8.5

Thus,

The value of x = 8.5

Determining the value of FG

As

FG = 2(x-5)

substituting x = 8.5

FG = 2(8.5 - 5)

FG = 2(3.5)

FG = 7

Thus,

The value of FG = 8.5 units

Summary:

The value of x = 8.5

The value of FG = 8.5 units

Answer:

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

Answer:

35 more video games

Step-by-step explanation:

40 times 3 and then substract 85

120-85=35

Answer:

C≈16.34cm

Step-by-step explanation:

I think.

Answer:

C = 16.34

Step-by-step explanation:

If the radius is 2.6 cm, than the circumference is 16.34 cm.

The formula is c = pi x radius x 2

Answer:

2

Step-by-step explanation:

because their gretest common factor is 2

Answer:

The greatest common factor of 6 and 14 is 2

Step-by-step explanation:

The GCF is the largest whole number that goes into both of the other numbers

Hope this helps :-)

Answer:

ones

Step-by-step explanation:

^^^^^^^^^^

Answer:

Step-by-step explanation:

1). Unit rate = slope of the graph at x =1

   Unit rate means value of y at x = 1

   From the graph of the given function,

   (1, 2) is the point which defines the unit rate.

2). Table (1),

   If the data shows the proportional relationship,

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

   [tex]\frac{2}{6}=\frac{1}{3}[/tex]

   [tex]\frac{1}{3}= \frac{1}{3}[/tex]

   Therefore, table (1) represents the proportional relationship.

   Table (2),

   If the data given in table is proportional,

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

   [tex]\frac{8}{5}=\frac{4}{2}[/tex]

   [tex]\frac{8}{5}=\frac{2}{1}[/tex]

   Which is not true.

   Therefore, table (2) doesn't show the proportional relationship.

The answer is x-3. We don't know the brother's height, so we make it into a variable. You may pick any variable, but x is a common choice. We then subtract 3 from x, which would give us Aria's height. Since we don't know the height of the brother, we won't know Aria's height.

Answer:

slope m = (5+1)/(-6+8) = 6/2 =3

Angle A (6x +11)  = 53

12x - 7 = 77

Answer: in attached

Step-by-step explanation:

See image