Which is a central idea of the article?
A. Congress passed the Fair Labor Standards Act to protect young workers.
B. Hundreds of thousands of kids work long hours under dangerous conditions on U.S. farms.
C. Reyes has been working on farms in Michigan since he was 9 years old.
D. Worldwide, about 152 million kids ages 5 to 17 are child laborers.

Answer:

-4x - 2y

Step-by-step explanation:

Hope it works

Answer:

Step-by-step explanation:

−1(4x+2y)

=(−1)(4x+2y)

=(−1)(4x)+(−1)(2y)

=−4x−2y            

Hope this helps u out

Answer:

180 X 365 = 65700 litres

65700/1000 = 65.7 cubic metres

65.7 X 91.22 = 5993.154

5993.154 / 100 = 59.93154

59.93 + 28.20 = 88.13

yes Henry should have a water meter

Answer:

B. negative x-coordinate and negative y-coordinate

Answer:

2/3

Step-by-step explanation:

Answer:

m∠b = 92 ; m∠c = 92

Step-by-step explanation:

∠b and ∠c both form supplementary angles with the 88° angle. I'll just choose b in this instance.

b + 88 = 180

b = 92

Now we know that ∠b is 92°.

Moreover, ∠c and ∠b are known as vertical angles meaning they are equivalent to each other. Therefore, ∠c is also 92°

Step-by-step explanation:

We need to write the sum of 2x - 7 and the opposite of 2x

Opposite of 2x is (-2x)

Sum means to add the number :

2x-7 + (-2x)

Remove parentheses,

2x-7 - 2x

Taking like terms together,

2x-2x-7= 0-7

= -7

Hence, the answer is -7.

Answer:

C. x < –1

Step-by-step explanation:

What is the solution of x + 6 < 5?

A. x < 11

B. x > 11

C. x < –1

D. x > –1

-1+6<5

but you need less than 5 so

x<-1

Answer: The polynomial 3x2 is of one variable with a degree of 2.

The polynomial x2y + 3xy2 + 1 is of two variables a with a degree of 3.

Step-by-step explanation: For this case we have the following polynomials:

3x2

x2y + 3xy2 + 1

We have then:

For 3x2:

Classification: polynomial of one variable:

Degree: 2

For x2y + 3xy2 + 1:

Classification: polynomial of two variables

Degree: 2 + 1 = 3

Answer:

monomial  

2    

trinomial  

3

Step-by-step explanation:

Answer:

Cost of one doughnut is $0.25

Step-by-step explanation:

Let the rate of one doughnut = $x

On Saturday he bought a large coffee and 2 doughnuts.

Cost of one large coffee = $1.25

Cost of 2 doughnuts = $2x

Total cost = $(1.25 + 2x)

On Sunday, he bought a small coffee and 5 doughnuts.

Cost of one small coffee = $0.50

Cost of 5 doughnuts = $5x

Total cost = $(0.50 + 5x)

Since, Brian spent same amount of money each morning,

Total expenditure on Saturday morning = Total expenditure on Sunday morning

(1.25 + 2x) = (0.50 + 5x)

1.25 - 0.50 = 5x - 2x

0.75 = 3x

x = $0.25

Therefore, cost of one doughnut is $0.25

Answer:

ok

Step-by-step explanation:

Answer:

there is no solution

Step-by-step explanation:

y + 7 = 3x

6x - 2y = 6    which can be simplied to be 3x - y = 6  (divide by 2)

let y = 3x - 7

substitute:  3x -(3x - 7) = 6

                  3x - 3x + 7 = 6

                              7 ≠ 6  therefore, no solution

Answer:

71/100

Explanation:

As you can see, the decimal ends at the hundredths place, so the fraction is 71/100. Its simple! If the number end at the tenths, hundredths, or thousandths, just take that number and do it like this! 38/1,000

Hope this helped! ;)

Answer:

Step-by-step explanation:

According to sine law of trigonometric functions,

sin(α)/a =sin(β)/b

hence using this

sin(18)/y = sin(x)/2y

sin(x)=2*sin(18)

sin(x)=2*0.309

sin(x)= 0.618

x=sin-1(0.618)     ( sin-1  is sine inverse)

x=38.17 °

Answer:

140 shells. So, C

Step-by-step explanation:

Let x equal the total number of shells in Stanley's collection. Then,

.35 x = 49

x = 49 / .35

x = 140

Answer: 7/8

10-2/12-4= 7/8

Step-by-step explanation:

Answer:

the answer might be number 3

Answer:

one solution:  x = -3,  y = 26

Step-by-step explanation:

3x + y = 17

x + 2y = 49

If you multiply the first equation by -2 and then add you will eliminate the 'y' term

-2(3x + y) = -2(17)

  -6x - 2y = -34

+    x + 2y = 49

   -5x = 15

     x = -3

-3 + 2y = 49

2y = 52

y = 26

Answer: D is located at point (-3, -4)

Answer:

9.34

Step-by-step explanation:

add 6 then mulitiply 11-1 xC=9.34

Answer:

B: 8^3 in squared

Step-by-step explanation:

2^3 = 2*2*2= 8

4^3 =4*4*4=64

Area of rectangle equals length times width.

So, 8 * 64 equals 512 and 8^3= 512

Use calculator. Also, you can just treat it as normal multiplication and choose the one with the same units. so it would be 8, but then the next thing you would need to look at is the exponent. Since 8^6 is not the same exponent as the two in the problem, it has to be the 8^3, which are the same  

Answer:

[tex]m(\widehat{WXZ})[/tex] = 160°

Step-by-step explanation:

By angle sum postulate,

m∠WYX + m∠XYZ = m∠WYZ

m∠WYZ = 50° + 30°

              = 80°

Since, inscribes angle (∠WYZ) = [tex]\frac{1}{2}\times (\text{Intercepted arc WXZ})[/tex]

80° = [tex]\frac{1}{2}(\widehat{WXZ})[/tex]

[tex]m(\widehat{WXZ})[/tex] = 160°

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!

9514 1404 393

Answer:

  ∠E = ∠A = 34°; ∠AFB = ∠DFE = 107°-34° = 73°

Step-by-step explanation:

Here's where I'd go next.

73° (∠EDA) is exterior to ΔDAC, so is the sum of remote interior angles A and C. That is, ...

  ∠C + ∠A = 73°

  ∠C = 73° -∠A = 73° -39° = 34°

Triangle CBE is given as isosceles, so its base angles C and E are congruent, both 34°.

Exterior angle CDF is the sum of remote interior angles DEF and DFE, so we have ...

  107° = 34° +∠DFE

  ∠DFE = 107° -34° = 73°

The angle we just found (∠DFE) is a vertical angle with ∠AFB, so has the same measure.

  ∠AFB = 73° . . . . vertical angle with ∠DFE

_____

In summary, it looks like we have added some steps to the derivation:

  4. ∠A = 34° . . . . exterior angle theorem (∠A +39° = 73°)

  5. ∠E = ∠A = 34° . . . . definition of isosceles triangle

  6. ∠DFE = 73° . . . . exterior angle theorem (∠E +34° = 107°)

  7. ∠AFB = 73° . . . . vertical angles

_____

Additional comment

Any sort of math problem solving has you work from what you know to what you need to know by making use of previously learned relationships between the bits of information you have. Here, you really only need to know (a) angles of a linear pair total 180°; (b) angles in a triangle total 180°; (c) angles opposite congruent sides in a triangle are congruent. Everything we claim above can be concluded using these facts. The various theorems we used are simply shortcuts that allow you to bypass intermediate steps in the problem-solving process.

Answer:

option (c)

Step-by-step explanation:

Given,

ABCD is a square.

AC and BD are diagonals

We know that,

Sides of the square make 90 degrees with each other.

And Diagonals bisect the opposite angles of the square.

Now,

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABC = 90^\circ[/tex]

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABD = \dfrac{90^\circ}{2}[/tex]

[tex]\angle ABD = 45^\circ[/tex]

Hence, option (c) is correct.

Answer:

481.5

Step-by-step explanation:

The music art museum is divided into 6 sections

Each section contains the same timert of tiles

There are 2889 tails total

Therefore the number of tiles in each section can be calculated as follows

= 2889/6

= 481.5

Hence there are 481.5 tiles in each section