Which expression are equivalent to 5(1/3x + 7)-3(1/2x -4)? Select three options.

Answer:

Q=(a,b,c,d)

S=(a,d,g)

QUS=(a,b,c,d,g) Union of set means all the elements in both set.

Answer:

39.25 square ft

Step-by-step explanation:

[tex]Area \: of \: sector = \frac{45 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{1}{8} \times 3.14 \times {10}^{2} \\ \\ = \frac{3.14 \times 100}{8} \\ \\ = \frac{314}{8} \\ \\ = 39.25 \: {ft}^{2} [/tex]

Answer:

(370-2x)ml

Step-by-step explanation:

We are given that

In first hand sanitizer

Total solution=200ml

Alcohol=15% of 200ml

Alcohol=[tex]\frac{15}{100}\times 200=30ml[/tex]

In second hand sanitizer

Solution=200 ml

Alcohol=x% of 200 ml

Alcohol=[tex]\frac{x}{100}\times 200=2x ml[/tex]

We have to find the water in the resulting mixture of hand sanitizers.

Total solution of two hand sanitizers=200+200=400ml

Total alcohol in two hand sanitizers=(30+2x)ml

Water in two hand sanitizers=400-(30+2x) ml

Water in two hand sanitizers=400-30-2x ml

Water in two hand sanitizers=(370-2x)ml

Hence, water  in the resulting mixture of hand sanitizers=(370-2x)ml

Answer:

5. b  6. c  7. d  8. a

Step-by-step explanation:

Answer:

13 reminder 7.

Step-by-step explanation:

Answer: 164

Step-by-step explanation:  656 /4

164

Answer: 360 in. squared

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I did it and got it right

Answer:

140 minutes

Step-by-step explanation:

If it takes him 30 mins to plant three, then 30 divided into three equal groups is 10. Then we multiply 14 and 10 together since it takes Andre ten minutes to plant each sapling. This means  that the 14 saplings takes ten minutes EACH to plant.

Answer: 140

Step-by-step explanation:

i got it right

Answer:

B)  -1,-4,-7,-10,........

The first five terms

-1,-4,-7,-10,........

Step-by-step explanation:

Explanation:-

Given that the explicit rule

           [tex]a_{n} = -3n +2[/tex]

Put n=1  

   ⇒ a₁ = -3(1) +2

       a₁  = -1

Put n=2

⇒  a₂ = -3(2)+2

      a₂ = -6+2

     a₂  = -4

Put n=3

  a₃ = -3(3)+2

  a₃ = -9+2

 a₃ = -7

Put n=4

a₄ = -3(4)+2

a₄ = -12+2

a₄ =-10

The first five terms

-1,-4,-7,-10,........

Answer: great adventure theme park is more expensive

Step-by-step explanation:

Answer:

That is statement is true

Answer: $197 Billion

Step-by-step explanation: To find the difference between the two amounts, you simply subtract them! In this case, 447 - 250 = 197. Hope this helps!

Answer:

10.45?

Step-by-step explanation:

Answer:

5.05

Step-by-step explanation:

-2.7+7.75

2.7 is how much he descends so its negative

And 7.75 for how much he went up so its positive

Answer:

Quadrant 2

Step-by-step explanation:

Take a look at the picture I added it should help you on futures questions like this :)

Answer:

48 kilometers

Step-by-step explanation:

If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)

Answer:

100 miles

Step-by-step explanation:

Given :

To work :

speed = 50mph

Let time taken = x

From work :

speed = 40mph

30 minutes = 30/60 = 0.5

Time taken = x + 0.5

Distance from home to work :

Distance = speed * time

To work distance = from work distance

This can be algebraically expressed as :

50 * x = 40(x + 0.5)

50x = 40x + 20

50x - 40x = 20

10x = 20

x = 20/10

x = 2

Hence,

Distance = 50 * 2 = 100

The the distance from home to work = 100 miles

The distance from Michael home to work is 100 miles

Speed is the ratio of the total distance travelled to the total time taken. It is given by:

Speed = distance / time

Let d represent the distance from Michael home to work. Hence:

He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:

d/50 = (d - 20) / 40

40d = 50d - 1000

10d = 1000

d = 100 miles

The distance from Michael home to work is 100 miles

Find out more on speed at: https://brainly.com/question/4931057

Answer:

is there supposed to be answer choices?

Step-by-step explanation:

Answer:

2.11

Step-by-step explanation:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

In our example,

    Prime number  to the power of  equals .

    Prime number  to the power of  equals .

Answer:

translated

Step-by-step explanation:

the shape slides to a new position, but nothing is changed size wise.

40m+35=

Step-by-step explanation:

I'm not sure but I think it is this

40m+35=

Answer:

(9)(27) also 243

Step-by-step explanation:

So, 3^2=9, and 3^3=27, so (3^2)(3^3) is equal to (9)(27) or 243

Answer:

Irrational

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

5/2

Answer:

[tex]Rate = 15[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 56 - 0.020x^2[/tex]

Required

Find the average change from​ 1,000 car seats to​ 1,050 car seats --- Missing information

This is calculated using:

[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]

In this case:

[tex]a = 1000[/tex]

[tex]b = 1050[/tex]

Now, we have:

[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

Calculating R(1050)

[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]

[tex]R(1050) = 58800-22050[/tex]

[tex]R(1050) = 36750[/tex]

Calculating R(1000)

[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]

[tex]R(1000) = 56000- 20000[/tex]

[tex]R(1000) = 36000[/tex]

So:

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

[tex]Rate = \frac{750} {50}[/tex]

[tex]Rate = 15[/tex]

The average rate of change is 12

Answer:

2

Step-by-step explanation:

bc

Answer:

(2/5)√5

Step-by-step explanation:

from the sine rule (see attached for reference), we can construct the following relationship

12/sinθ  = (6√5) / sin 90°

recall that sin 90° = 1, hence our equation becomes:

12/sinθ  = (6√5) / 1

12/sinθ  = (6√5)   (rearranging)

12 ÷ (6√5)  = sin θ

sin θ = 12 / (6√5)

sin θ = 2 / √5   (moving radical to numerator by multiplying by √5/√5)

= 2 / √5     x     √5/√5

= 2√5 / 5

= (2/5)√5