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, determine which system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week. (2 points) a No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 b No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 c Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 d Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answer:

angle 1 = 50

angle 2 = 130

Step-by-step explanation:

well, angle 2 and 130 are equal to one another since they're alternate exterior angles.

Angles 1 and 2 are supplementary angles, which equals 180 degrees.

due to angle 2 and 130 being equal, 2 is 130.

subtract 130 from 180 and it gives you 50, which is the answer to angle 1.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=5-1/7-1

m=4/6

m= 2/3

The slope is 2/3

Answer:

2/3

Step-by-step explanation:

To find the slope of a line between two points, you would use the formula

Δ[tex]\frac{y}{x}[/tex]

[tex]\frac{y2-y1}{x2-x1}[/tex] is also the same thing

so, [tex]\frac{5-1}{7-1} = \frac{4}{6} = \frac{2}{3}[/tex]

Answer:

Graph C

Step-by-step explanation:

In Graphs A and B, as x approaches negative infinity, the value of the function approaches positive infinity.

In Graph C as x approaches negative infinity, the value of the function approaches negative infinity.

Answer: Graph C

Answer:

thursday

Step-by-step explanation:

so the complete 100% accurate answer would be 0, youd have to pick the closest to that which is -2.

Answer:

The answer is Thursday -2.

Step-by-step explanation:

on edge

Answer:

a cube...............................

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Set the two equations equal to eachother to find x=16. The measures of the two angles are 73. 73 times 2 equals 146. 180 minus 146 is 34.

Answer: x=<4

Step-by-step explanation:

Answer:

x= 15, m<2= 50

Step-by-step explanation:

5x+55 and 2x+100 are equal

5x+55=2x+100

5x=2x+45

3x=45

x=15

Plug it into 5x+55

5(15)+55 = 130

^That angle and <2 are supplementary, so they need to= 180

130+ m= 180

m<2= 50

Answer:

B

Step-by-step explanation:

8/5=1.6

Subtract the price of the pizza from the total then divide by the cost of a basket:

13 -4 = 9

9/3 = 3

He bought 3 baskets of wings.

Answer:

10 I think-

Step-by-step explanation:

hope this helped :D

This may be right, this may be wrong

Answer:

1080

Step-by-step explanation: multiply by 3!!

Answer:

in 4 minutes is 1440 and in 12 minutes is 4320

Step-by-step explanation:

because you have multiply the 4 and the 12 by 360

Answer:

C

Step-by-step explanation:

6/16 +34/16 = 40/16= 10/4= 2.5

15/6= 2.5

Step-by-step explanation:

x/9 = 9/15

x = 9(9)/15

x= 5.4

Answer: -2y+3x/2+7/4

Answer:                D

csc  2  ( x )  −  cot  2 (x )

cos  ( x )

1 − sin 2 ( x )

x− 2 > 3

OR

− 2

4 − i  

6 + x  5

5+ x       x−8      

2 y − 1

OR

8 x

----

9  

− 4 ⋅ 3

2 + | − 2 |

Step-by-step explanation:

YOU SAID THIS IS 1OO POINTS IT ONLY 26

Answer:

f(5) = 5

Step-by-step explanation:

F(x)=x^2 - 4x

Let x = 5

F(5)=5^2 - 4*5

    = 25 - 20

    = 5

Answer:

$8998.91

Step-by-step explanation:

8000*1.04^3

it is to the power of 3 because this is the number of years

it is multiplied by 1.04 because there is 4% interest and it is 1.something because you want to add tp the 8000 so you have to multiply it by more than 1

it is 04 because this is where the units go (if it was 40% then the multiplier would be 1.4

Answer:

12w+13l≥150

Step-by-step explanation:

From the information given, the inequality would indicate that the amount Austin receives from washing cars plus the amount he receives from landscaping that are equal to the price per hour of each job for the number of hours would be greater than or equal to $150:

12w+13l≥150

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[tex]XCV \: \: angle = \frac{XWV \: \: arc}{2} \\ [/tex]

Multiply sides by 2

[tex]2 \: XCV \: \: angle = XWV \: \: arc[/tex]

[tex]XWV \: \: arc = 2 × XCV \: \: angle \\ [/tex]

[tex]XWV \: \: arc = 156°[/tex]

_________________________________

[tex]XWV \: \: arc + VCX \: \: arc = 360° \\ [/tex]

[tex]156° + VCX \: \: arc = 360°[/tex]

Subtract sides 156°

[tex]-156° + 156° + VCX \: \: arc = -156° + 360° \\ [/tex]

[tex]VCX \: \: arc = 204°[/tex]

_________________________________

[tex]XWV \: \: angle = \frac{XCV \: \: arc}{2} \\ [/tex]

[tex]17x = \frac{204}{2} \\ [/tex]

[tex]17x = 102[/tex]

Divide sides by 17

[tex] \frac{17x}{17} = \frac{102}{17} \\ [/tex]

[tex]x = 6[/tex]

_________________________________

Sum of the interior angles of XWVC equal 360° .

Thus in XWVC :

[tex]X + W + V + C = 360°[/tex]

[tex](9y) + (17x) + (6y) + (78°) = 360° \\ [/tex]

[tex]15y + 17x + 78° = 360°[/tex]

[tex]15y + 17(6) + 78° = 360°[/tex]

[tex]15y + 102° + 78° = 360°[/tex]

[tex]15y + 180° = 360°[/tex]

Subtract sides 180°

[tex]15y + 180° - 180° = 360° - 180° \\ [/tex]

[tex]15y = 180°[/tex]

Divide sides by 15

[tex] \frac{15y}{15} = \frac{180}{15} \\ [/tex]

[tex]y = 12[/tex]

_________________________________

[tex]X = 9y[/tex]

[tex]X = 9(12)[/tex]

[tex]X = 108°[/tex]

[tex]V = 6y[/tex]

[tex]V = 6(12)[/tex]

[tex]V = 72°[/tex]

[tex]W = 17x[/tex]

[tex]W = 17(6)[/tex]

[tex]W = 102°[/tex]

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Answer:

Step-by-step explanation:

As we know that

The cube of any given number is that number times itself.

For example, 8 cubed, denoted by 8³ is equal to 8 × 8 × 8.

An exponent basically indicates the number of times we must multiply the base number. For example, to compute 8³, we multiply 3 three times (8×8×8).

Answer:

I got 6 mi

hope I helped

Answer:

Maybe 32

Step-by-step explanation:

9514 1404 393

Answer:

  C.  1/6 pound of oranges

Step-by-step explanation:

  [tex]\dfrac{6}{12}\div3 = \dfrac{6\div3}{12}=\dfrac{2}{2\cdot6}=\dfrac{1}{6}[/tex]

Each person would receive 1/6 pound of oranges.

Answer:B. 1 1/2

Step-by-step explanation:

The amount of flour needed is 3/2 cups

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

For 3/4 cup flour = 1/2 cup of milk needed.

So, if the recipe is doubled then flour needed

= 3/4 x 2

= 3/2 cups

Learn more about Unitary Method here:

https://brainly.com/question/22056199

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Answer:

1. The x-axis represents the time duration Arthur spends on the different activities

2. The y-axis represents Arthur's distance from a reference location (home)

3.  During parts 2 and 4 Arthur's distance from home decreases

4. Arthur is waiting for bagels in part 3

5. i) The part of the graph that would change if Arthur's pace had not been constant after leaving the bagel shop is part 4

ii) Where by the Arthur's pace is not constant in part 4, there would be more than one different slopes along part 4 and part 4 will not be straight

6) i) If Arthur had spent less time reading his newspaper, the part that would change is part 1

ii) The horizontal length of each part is related directly to the duration of time spent in that part

For a reduction of time in part 1, the length of part 1 will be reduced proportionately to allow for the reduction of time spent in the part

Step-by-step explanation:

Answer:

1. What does the x-axis represent in this situation?

The x-axis represents time.

2. What does the y-axis represent?

The y-axis represents distance.

3. During which parts of the graph does Arthur's distance from home decrease?

Sections 2 and 4.

4. When is Arthur waiting for bagels? Explain how you know.

Section 3. The flat areas represent times when Arthur is not moving. We know that the first flat area shows Arthur reading his newspaper, and the third is when he reaches home; so the second flat area represents the time in which Arthur is waiting for bagels.

5. If Arthur's pace had not been constant after leaving the bagel shop, which part of the graph

would change? Explain how that part of the graph would change.

The part of the graph that would change is part 4. If his pace was not constant, section 4 would not be uniform, and would have many abnormalities. Essentially, Arthur would be randomly speeding up and slowing down.

6. If Arthur had spent less time reading his newspaper, which part of the graph would change? How would that part change?

If Arthur had spent less time reading his newspaper, the whole graph would change. Section one would be shorter, and the entire line would also be shorter. The distance on the graph from the beginning of section 1 to the end of section 5 would be reduced.