Which expression results in a rational number

Given

A=√12

B= 4√3

c=√49

D=√100

(1) A+B

(2) B+C

(3) D+A

(4) C+D

Answer:

1) Actual cost was $5,762.50

2) Joe's birthday is on January 1st.

Step-by-step explanation:

1) To find this, since we know they were wrong by an identical amount and one was over and the other was under, we can average the cost to find the difference between the amounts. Then we can add that difference to the lower (or subtract it from the higher) amount:

6950 - 4575 = 2375

2375 / 2 = 1187.50

4575 + 1187.50 = $5,762.50

2) Joe could turn 21 on January 1st, but was 20 on December 31st. Next year Joe would turn 22 on January 1st.

I hope this helps!

-TheBusinessMan

Answer:

[tex]14[/tex]

Step-by-step explanation:

We can set up the following system of equations:

[tex]\begin{cases}10d+5n=150\\d+n=22\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.

Multiplying the second equation by -5 and adding both equations lets us isolate and solve for [tex]d[/tex]:

[tex]10d+5n+(-5(d+n))=150+(-5(22)),\\5d=40,\\d=8[/tex]

Plugging [tex]d=8[/tex] into any of the two equations will let us solve for [tex]n[/tex]:

[tex]8+n=22,\\n=\fbox{$14$}[/tex].

Therefore, she has 14 nickels.

Answer:

[tex]45\frac{9}{10}[/tex] or [tex]45.9[/tex]

Step-by-step explanation:

All we have to do here is substitute the given value of [tex]r[/tex] into the given expression. Therefore, after substituting [tex]r=-\frac{1}{2}[/tex] into [tex]46+\frac{1}{5}r[/tex], we get:

[tex]46+\frac{1}{5}r[/tex]

[tex]= 46+\frac{1}{5}*(-\frac{1}{2} )[/tex] (Substitute [tex]r=-\frac{1}{2}[/tex] into [tex]46+\frac{1}{5}r[/tex])

[tex]=46-\frac{1}{10}[/tex] (Multiply)

[tex]=45\frac{9}{10}[/tex] or [tex]45.9[/tex] (Simplify)

Hope this helps!

Hey there!

The answer to your question is  [tex]45\frac{9}{10}[/tex]

We can find this by simply plugging in the "r" value into the given equation.

46 + [tex]\frac{1}{5}[/tex] ([tex]\frac{-1}{2}[/tex])

Now we evaluate the equation:

46 + [tex]\frac{1}{5}[/tex] ([tex]\frac{-1}{2}[/tex])

46 + [tex]\frac{-1}{10}[/tex]

[tex]45\frac{9}{10}[/tex]

Hope this helps and have an amazing day!

Answer: it would take him 10 hours to make 120 paper

Answer:

C

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

1. x=2 y=4

2. x=2 y=2

Step-by-step explanation:

Answer:

Number 1 Explanation:

Number 2 Explanation:

Answer:

C, price increases

Step-by-step explanation:

this is correct I promise you.

Answer:

C

Step-by-step explanation:

Prices increase because there is a higher demand for the product, but it does not double because each individual seller can set their price.

Step-by-step explanation:

please where is the question

Answer:

that one seems a little bit too hard....

Answer: y < -2x-4

Step-by-step explanation:

Answer:

I hope this helps

Answer: y < x-1

Step-by-step explanation:

Answer:

The solution for a is a =  [tex]\frac{P-b}{2}[/tex]

Step-by-step explanation:

To solve an equation for one of its variables, do that

Let us solve the question

∵ The perimeter formula for an isosceles triangle is P = 2a + b

∵ We need to solve it for a

→ By using the first step above, subtract the two sides by b to move it

    from the right side to the left side

∵ P - b = 2a + b - b

∴ P - b = 2a

→ By using the second step above, divide both sides by 2

∵ [tex]\frac{P-b}{2}[/tex] = [tex]\frac{2a}{2}[/tex]

∴  [tex]\frac{P-b}{2}[/tex] = a

→ Switch the two sides

∴ a =  [tex]\frac{P-b}{2}[/tex]

∴ The solution for a is a =  [tex]\frac{P-b}{2}[/tex]

Answer:

the answer is the option B 35

Step-by-step explanation:

first, add 4 and 3. you will get 7. Next, multiply 7 by 5 and you will get the answer :35

[tex]5(3 + 4) \\ 5(7) \\ 35[/tex]

Answer:

0.62 cents per pound

Step-by-step explanation:

2.48/4

to find price per pound which is the unit price

2.48/4=0.62

brainliest appreciated

Answer:

the answer is 82 F add the temperature together

The total increase in temperature between 5:00 a.m. and 11:00 a.m., in degrees Fahrenheit, is 164.5°F.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at one location, the temperature increased from -7° F to 40 F between 5:00 a.m. and 9:00 a.m. By 11:00 a.m., the temperature was 3.5 times greater than the 9:00 a.m. temperature.

The temperature will be calculated as,

Temperature = ( 40 - (-7) x 3.5

Temperature = 47 x 3.5

Temperature = 164.5°F

To know more about an expression follow

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Answer:

2

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

you are given the hypotenuse of 60 and a leg of 35

a^2 + b^2 = c^2

35^2 + b^2 = 60^2

1225 +b^2 = 3600

-1225            -1225

                     2375

B^2 = square root 2375

48.73 round  up to 49

Answer:

30/100 X 15 = 4.50

4.50 X 4 = 18

$18

Answer:

The answer is 288 minutes

Answer:

4x-3 or A

Step-by-step explanation: because there are 4 x's and 3 "-" which makes it 4x-3

Answer:

Hi, this is a strange problem but I believe the answer is A) 4x-3.

Step-by-step explanation:

I think the X symbols represent "X"es and the dashes represent single negative digits. I may be wrong, but I think this is what your teacher is most likely looking for. Good luck! :)

Answer:

$53,700

Step-by-step explanation:

Commission earned = percentage commission x total number of houses sold

[tex]\frac{6}{100}[/tex] x $895,000 = $53,700

Answer:

4:7  7 being to total number of marbles (part to whole ratio)

There are 16 blue marbles were in the bag before I added more.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratio of blue marbles to yellow marbles is 4 : 3.

And,  If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Now,

Since, The ratio of blue marbles to yellow marbles is 4 : 3.

Hence, Number of blue marbles = 4x

Number of yellow marbles = 3x

And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Then, We can formulate;

⇒ 4x + 5 / 3x - 3 = 7x / 3x

⇒ (4x + 5) / (3x - 3) = 7 / 3

⇒ 3 (4x + 5) = 7 (3x - 3)

⇒ 12x + 15 = 21x - 21

⇒ 15 + 21 = 21x - 12x

⇒ 36 = 9x

⇒ x = 4

Thus, The number of blue marbles = 4x

                                                      = 4 × 4

                                                      = 16

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Answer: 24,000 feet

Step-by-step explanation:

Well there is 60 minutes in an hour. So every 60 minutes you add by 6000

and 6000 x 4= 2400

:)

Answer:

19/2 = 9.5.  This is the speed she can ride in a single hour.  At that speed, she would travel 9.5/3 miles in 1/3 of an hour.  9.5/3 = 3.1666666666666667

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Answer:

Rewrite the equation as y−6=35 .

y−6=35

Move all terms not containing y to the right side of the equation.

y=41

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

Answer:

m D = m C

Step-by-step explanation:

I'll explain later... I have exams hhh

Answer:

7

Step-by-step explanation: