Write a numerical expression for the verbal phrase. The quotient of 81 and 3.
A. 3÷81
B. 27
C. 81÷3
D.81×3​

Answer:

see below

Step-by-step explanation:

The first step is to read the problem

Then you need to make a plan

Implement the plan

Then evaluate the answer to see if it makes sense

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{9}}}}}[/tex]

Step-by-step explanation:

Given,

A = { Dirk , Johan , Frans , Sarie }

B = { Frans , Sarie , Tina , Klass , Henrika }

To find : n ( A ) + n ( A )

Now, count the number of member of a set A

n ( A ) = 4

Also, Count the number of members of a set B

n ( B ) = 5

Finding n( A ) + n ( B )

= 4 + 5

= 9

Hope I helped!

Best regards! :D

Answer:

17

Step-by-step explanation:

To find the hypotenuse, you would use the Pythagorean theorem.

[tex]A^{2} +B^{2} =C^{2}[/tex]

We can plug 8 and 15 into A and B\

[tex]8^{2} +15^{2} =C^{2}[/tex]

We can simplify this to

64+225=[tex]C^{2}[/tex]

289 = [tex]C^{2}[/tex]

To get C by itself not squared, we can do the square root of both sides.

[tex]\sqrt{289} =\sqrt{C^{2} }[/tex]

If we simplify, we get

17 = C or C = 17

Therefore the length of the hypotenuse is 17.

[tex]:\implies\sf\:18=1\times 18[/tex]

[tex]:\implies\sf\:18=2\times 9[/tex]

[tex]:\implies\sf\:18=3\times 6[/tex]

Hence, All the factors of 18 are

[tex]\boxed{\bf{\orange{(1,2,3,6,9,18)}}}[/tex]

Answer:

1, 2, 3, 6, 9, 18 is the answer

Step-by-step explanation:

Answer:

5 sandwiches.

Step-by-step explanation:

$15 for the water, $10 for the soda. So if you add 15 and 10 that's 20. 40-25 = 15 on sandwiches. If each sandwich is $3, then that's 5 sandwiches.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of sandwiches bought is 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of a bottle = $1.50

Cost of a soda = $2

Cost of a sandwich = $3

Number of bottles bought = 10

Number of sodas bought = 5

Number of sandwiches bought = S

Total amount spend = $40

Now,

10 x 1.50 + 5 x 2 + 3S = 40

Simplify.

15 + 10 + 3S = 40

25 + 3S = 40

Subtract 25 on both sides.

3S = 40 - 25

3S = 15

Divide both sides by 3.

S = 15/3

S = 3

Thus,

The number of sandwiches bought is 3.

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Answer:

a. 227 cm

b. 495 cm

Step-by-step explanation:

a. Radius of arc = sin(½θ) = 2.10/r

θ = (360-225)/2 = 67.5

Radius of arc = sin(67.5) = 2.10/r

r = 2.10/sin(67.5) = 2.273 m = 227 cm (nearest cm)

b. Length of arc = θ/360*2πr

Take π as 3.14

r = 210 cm

θ = 360 - 225 = 135°

Length of arc = [tex] \frac{135}{360}*2*3.14*210 = 495 cm [/tex] (to nearest cm)

There's no following. You need to post a picture or complete the question.

Answer:

x > 8

Step-by-step explanation:

When you divide or multiply both sides of an inequality by a negative number, the equality is switched.

-2x + 3 < -13

(-2x + 3) - 3 < -13 - 3

-2x < -16

-2x/-2 < -16/-2

x > 8

Answer:

x > 8

Step-by-step explanation:

In order to solve the inequality for x, we must get x by itself on one side of the equation.

-2x + 3 < -13

3 is being added to -2x. The inverse of addition is subtraction. Subtract 3 from both sides of the equation.

-2x + (3-3) < (-13-3)

-2x < -13 -3

-2x < -16

x is being multiplied by -2. The inverse of multiplication is division. Divide both sides of the equation by -2.

-2x/-2 < -16/-2

When dividing or multiplying by a negative number, remember to flip the inequality sign.

-2x/-2 > -16/-2

x > -16/-2

x > 8

The solution to the inequality is x>8

Answer:

194

Step-by-step explanation:

Answer:

9x+10-5z

Step-by-step explanation:

(9x + 3) – (5z - 7)

9x+3-5z + 7)

9x+10-5z

Answer:

h(x + 1) = 5x² + 10x + 2

Step-by-step explanation:

Step 1: Write out function

h(x) = 5x² - 3

Step 2: Plug in x + 1 for x

h(x + 1) = 5(x + 1)² - 3

Step 3: Expand

h(x + 1) = 5(x² + 2x + 1) - 3

Step 4: Distribute

h(x + 1) = 5x² + 10x + 5 - 3

Step 5: Combine like terms

h(x + 1) = 5x² + 10x + 2

Answer:

2 miles

Step-by-step explanation:

2/5 mile = 1/5 hour

x mile(s) = 1 hour

Cross multiplying.

x · 1/5 = 2/5 · 1

x/5 = 2/5

Multiplying both sides by 5.

x = 10/5

x = 2

Daisy will walk 2 miles in 1 hour.

Answer:

[tex]\Huge \boxed{\mathrm{2 \ miles}}[/tex]

Step-by-step explanation:

2/5 mile = 1/5 hour

x mile(s) = 1 hour

Cross multiplying.

x · 1/5 = 2/5 · 1

x/5 = 2/5

Multiplying both sides by 5.

x = 10/5

x = 2

Daisy will walk 2 miles in 1 hour.

Answer:

-12, 0, 13, [-14], [-16], 17

Step-by-step explanation:

I hope this helps you...

Answer:

x = 8

Step-by-step explanation:

Let's solve your equation step-by-step.

5x−6=3x+10

Step 1: Subtract 3x from both sides.

5x−6−3x=3x+10−3x

2x−6=10

Step 2: Add 6 to both sides.

2x−6+6=10+6

2x=16

Step 3: Divide both sides by 2.

2x /2 = 16/ 2

x=8

Answer:

So x=8 is the answer.

Step-by-step explanation:

5x-6=3x+10

Adding 6 on both sides to find out the value of x

5x-6+6=3x+10+6

5x=3x+16

Subtracting 3x on both sides to find out the value of x

5x-3x=3x-3x+16

2x=16

Dividing 2on both sides

2x/2=16/2

x=8

I hope this will help you :)

Answer: 362,365 copies

Step-by-step explanation: Using proportions, I set it up like 33700/? (total copies)= 9.3/100. I multiplied 33700 and 100 to get 3370000 and divided by 9.3 and rounded.

Answer:

Total Cost 6400

Step-by-step explanation:

Each quarter is 600 dollars

There are 6 quarters. 6 * 600 =              3600

Books                                                       2800

Total                                                          6400

Answer:

6400

Step-by-step explanation:

600*6=3600

3600+2800=6400

Answer:

x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{5}{4}[/tex] x + [tex]\frac{2}{5}[/tex] = - [tex]\frac{13}{30}[/tex]

Multiply through by 60 ( the lcm of 4, 5 and 30) to clear the fractions

- 75x + 24 = - 26 ( subtract 24 from both sides )

- 75x = - 50 ( divide both sides by - 75 )

x = [tex]\frac{-50}{-75}[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

is it a times before the +?

Step-by-step explanation:

Answer:

  12

Step-by-step explanation:

If the slope of the function were exactly 6 on the interval between 2 and 4, then the increase on that interval from f(2) = 10 would be (4-2)·6 = 12. Since the slope is at least 6, the increase is at least 12, so ???? = 10+12 = 22.

Answer:

D

Step-by-step explanation:

The required expression that is equivalent to the given expression is -5(w+3.1) . Option D is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression,
= -10w - 15.5
taking 5 commons from both the terms,
= -5(2w + 3.1)

Thus, the required expression that is equivalent to the given expression is -5(w+3.1) . Option D is correct.

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Answer:

Step-by-step explanation:

your doing the calculation wrong

Answer:

The answer is B

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

5x-4y=

Let x=5 and y = -5

5*5 - 4 * (-5)

25 + 20

45

Hey There!! ⚘~

The answer to this is: add 1/2x to both sides.

multiply both sides by 6/7

Hope It Helped!~

〰️~ItsNobody~〰️

Answer:

Combine Like Terms

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

(.15(20))/(20+w)=.12

3/(20+w)=.12

20+w=25

w=5

So 5 pounds of water must be added to the solution.

Answer:

The answers are letters A,B,and C

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of 6 ft² to be purchased and y represent the number of 8ft² cabinet to e purchased.

x > 0 and y > 0

6 ft² cabinet cost $10 and 8 ft² cabinet cost $20, only $140 is available to spend, therefore the cost equation is:

10 x + 20 y  ≤ 140

Also the office can hold only 72 ft², the space equation is:

6x + 8y ≤ 72

The volume equation is:

V = 8x + 12y

From the graph attached, we have to find the point with maximum volume by testing the point (12, 0), (0,7) , (8,3)

For (12, 0): V = 8(12) + 12(0) = 96 ft³

For (0, 7): V = 8(0) + 12(7) = 84 ft³

For (8, 3): V = 8(8) + 12(3) = 100 ft³

The (8,3) point has the maximum volume. That is 8 6 ft² cabinet and 3 8ft² cabinet

Answer:

Step-by-step explanation:

Since the actual probability of having a boy child is 0.51, the probability of having a girl child will be (1 - 0.51) = 0.49

A couple plans to have 3 kids; 2 of whom are boys

(A) Using the binomial model, the probability that 2 of the 3 children will be boys is (2/3) × 0.51 = 0.34

(B) The possible orderings of the 3 children are given below:

B1 B2 G / B1 G B2

B2 B1 G / B2 G B1

G B1 B2 / G B2 B1

Where B1 is one male child and B2 is the other male child

(C)  If we wanted to calculate the probability that a couple who plans to have 8 kids will have 3 boys, briefly describe why the approach from part (b) would be more tedious than the approach from part (a)

If the probability of 2/3 is 0.34 then the probability of 3/8 will be 0.1912 when you cross multiply