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) Group of answer choices 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 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

Answer:

The line is horizontal and the slope is 0.

Step-by-step explanation:

Any line that is horizontal has a slope of 0.

Answer:

39,055

Step-by-step explanation:

so you say 6 over 100 multiplied by $36,500 over 1. then 100 into 36,500 then you get 365. then you say 6 multiplied by 365 and you get 2,555. then you say 2,555 plus 36,500 then you get 39,055

Answer:

8.8

Step-by-step explanation:

kids cheating in tests.....

8.7749643787

8.8(1dp)

Answer:

(1 - .35) x $28 = $18.20

Answer:22

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x be chickens and y be cows

x+y=15

x=15-y

2x+4y=44, using x=15-y

2(15-y)+4y=44

30-2y+4y=44

2y+30=44

2y=14

y=7, since x=15-y

x=8

So there are 8 chickens and 7 cows.

Answer:

x*2=y+x= both

Step-by-step explanation:

y would be her sister age, you would have to multiply Marias age by 2 to get her sisters age since her sister is twice her age then you have to add them together to get the sum of both their ages.

Example: maria is 16

               16*2=32+16=48

           so the sum of both of their ages is 48 (JUST AN EXAMPLE)

Answer:

2 hours

Step-by-step explanation:

To solve this question, we can convert the fraction into decimal form momentarily, so that 5 1/2 is now 5.5, and 3 1/2 is now 3.5. We know that Sara has already driven 3.5 hours, and it takes 5.5 to get to her aunts house. To dins how much longer Sara has left to drive, simply subtract the total amount of hours by the hours already completed:

5.5 - 3.5 = 2.0

Meaning, Sara has 2 hours left to drive

Hope this helps :)

Answer:

254

Step-by-step explanation:

Add everytin step by step.

Answer:

6

Step-by-step explanation:

divide 3/4 by 1/8  (same as multiplying by 8)

this gives you 6

Answer:

So you take 3.4 and subtract from 6.6 which equals 3.2. Then if you add 3.4+3.2= 6.6. Hope this helps.

Step-by-step explanation:

Sorry I am late hope this helps

Sample Response:

Sum means the result of adding two numbers. The bar diagram represents that an unknown number and 3.4 together make 6.6. So 3.4 + what number equals 6.6? The result is 3.4 + 3.2 = 6.6. The sum of 3.4 and 3.2 is 6.6.

Answer:

x = 5.29

Step-by-step explanation:

24x = 127

Divide both sides by 24.

x = 127/24

x = 5.29

Answer:

x = 20

Step-by-step explanation:

4(x + 7) - 5x + 2 = 10

open the parenthesis

4 * x + 4 * 7 - 5x + 2 = 10

4x + 28 - 5x + 2 = 10

combine like terms

-x + 30 = 10

subtract 30 from both sides of the equation

-x + 30 - 30 = 10 - 30

-x = 10 - 30

-x = -20

mutiply the equation by -1

-1 * -x = -20 * -1

x = 20

Answer:

Step-by-step explanation:

show the rest

Answer:

False

Step-by-step explanation:just took the test

Answer:

you got to go back to the question before that and then you will know.

Step-by-step explanation:

Answer:

∠DGB = 101°

Step-by-step explanation:

Given:

∠CGB = 79°

Find:

∠DGB

Computation:

We know that CD is a straight line

So,

∠CGB + ∠DGB = 180

79 + ∠DGB = 180

∠DGB = 101°

Answer:

11 [tex]\frac{3}{8}[/tex] miles.

Step-by-step explanation:

To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b

$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.

$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.

We know Brandon spent $6.80 on the cab ride. So, this is our y.

We get the equation: 6.80 = 0.40x + 2.25.

To solve, first subtract 2.25 from both sides of the equation:

6.80 - 2.25 = 0.40x + 2.25 - 2.25

We get: 4.55 = 0.40x

Now, just divide by 0.40 on both sides:

4.55 ÷ 0.40 = 0.40x ÷ 0.40

We get: 11.375 = x

So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 [tex]\frac{3}{8}[/tex] .

I would appreciate brainliest, if not that's ok!

Answer:

x + 7

Step-by-step explanation:

amy is unknown x + 7 equals zack

Answer:

Step-by-step explanation:

Answer:

There's a proportion relationship between number of shell and their cost

Step-by-step explanation:

The graph is not given.

However, I've added the appropriate graph as an attachment.

From this, point....

I'll show that the cost and number of shells as given in the question are proportional.

Represent cost with y and number of shells with x

x = 2 when y = 0.8

x = 3 when y = 1.2

x = 4 when y = 1.6

Divide each value of y by x to get the constant of proportion (r).

r = y/x

r = 0.8/2 = 0.4

r = 1.2/3 = 0.4

r = 1.6/4 = 0.4

Notice that the values of r remain constant.

Hence, there's a proportion relationship between both

And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.

The graph is not given.

However, I've added the appropriate graph as an attachment.

From this, point....

I'll show that the cost and number of shells as given in the question are proportional.

Represent cost with y and number of shells with x

x = 2 when y = 0.8

x = 3 when y = 1.2

x = 4 when y = 1.6

Divide each value of y by x to get the constant of proportion (r).

r = y/x

r = 0.8/2 = 0.4

r = 1.2/3 = 0.4

r = 1.6/4 = 0.4

Notice that the values of r remain constant.

Hence, there's a proportion relationship between both

And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.

Answer:

4x-12

Step-by-step explanation:

4 x x is 4x and 4x-3 is -12

Answer:

the first month it was 10 each for a video game and the 2nd month it was

Answer:

6,000 & 19,200

Answer:

Area = 396 units²

Step-by-step explanation:

Let's assume:

Length = 2c - 5

Width = 5c + 9

Perimeter = 2(L + W) = 106 units

Thus:

2[(2c - 5) + (5c + 9)] = 106

Find the value of c

2[2c - 5 + 5c + 9] = 106

2[7c + 4] = 106

14c + 8 = 106

14c = 106 - 8

14c = 98

Divide both sides by 14

c = 98/14

c = 7

✔️Area of the rectangle = Length × Width

Area = (2c - 5)(5c + 9)

Plug in the value of c

Area = (2×7 - 5)(5×7 + 9)

Area = (14 - 5)(35 + 9)

Area = (9)(44)

Area = 396 units²

Answer:

x=-16/3

Step-by-step explanation:

9x-8(-8)=16

9x+64=16

9x=-48

x=-48/9

x=-16/3

Answer:

a²+b²+c²+2ab+2bc+2ca

Answer:

7.7466

Step-by-step explanation:

Hope it helps:)

what kind of math is this X_X

Answer:

12.4 cm

Step-by-step explanation:

Answer:

21.2888888889. it is wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

The function in vertex form:

x- intercepts are 15 and 35:

Answer:

[tex]18e^2f^3-12e^2f = 6e^2f(3f^2-2)[/tex]

Step-by-step explanation:

Given

[tex]18e^2f^3-12e^2f[/tex]

Required

Factorize:

[tex]18e^2f^3-12e^2f[/tex]

Express 18 as 6 * 3 and 12 as 6 * 2

[tex]18e^2f^3-12e^2f = 6*3e^2f^3-6*2e^2f[/tex]

Factor out 6

[tex]18e^2f^3-12e^2f = 6(3e^2f^3-2e^2f)[/tex]

Factor out [tex]e^2[/tex]

[tex]18e^2f^3-12e^2f = 6e^2(3f^3-2f)[/tex]

Factor out f

[tex]18e^2f^3-12e^2f = 6e^2f(3f^2-2)[/tex]