5/root 7 - root 3 +1/root 7+ root 3

Answers

Answer 1

[tex]\\ \sf\longmapsto \frac{5}{ \sqrt{7} - \sqrt{3} } + \frac{1}{ \sqrt{7} + \sqrt{3} } \\ \\ \sf\longmapsto \frac{5( \sqrt{7} + \sqrt{3} ) + 1 (\sqrt{7} - \sqrt{3} )}{( \sqrt{7} - \sqrt{3} )( \sqrt{7} + \sqrt{3} )} \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + 5 \sqrt{3} + \sqrt{7} - \sqrt{3} }{( { \sqrt{7} )}^{2} - ( \sqrt{3}) {}^{2} } \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + \sqrt{7} + 5 \sqrt{3} - \sqrt{3} }{7 - 3} \\ \\ \sf\longmapsto \frac{6 \sqrt{7} + 4 \sqrt{3} }{4} [/tex]


Related Questions

Twenty-seven minus 3/2 of a number (x) os not mpre than 36. What is the number?

Answers

Answer:

-6

Step-by-step explanation:

27-3/2x=36

53-3x=72

3x=-18

x=-6

PLZ HELP- I NEED HELP IM A LIL SLOW

Answers

Answer:

7 and above

Step-by-step explanation:

Go and 7 draw a dot and a arrow to the right

Answer:

Step-by-step explanation:

How to solve this question. I need to show my work for this question.
A cookie recipe calls for 3 eggs and makes 4 dozen cookies.
a). How many cookies could you make with a dozen eggs?
b). How many eggs would you need to make 18 dozen cookies?

Answers

Step-by-step explanation:

Recall that 1 dozen = 12 so 4 dozen cookies has a total of 48 cookies. We are going to use the following ratios to solve the problem:

[tex]\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right)[/tex] and [tex]\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right)[/tex]

a) [tex]12\:\text{eggs}×\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right) = 192\:\text{cookies}[/tex]

b) 18 dozen cookies = 216 cookies

[tex]216\:\text{cookies}×\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) = 13.5\:\text{eggs}[/tex]

What is 3.142857 rounded three decimal places

Answers

Answer:

3.143

Step-by-step explanation:

Since you're rounded it to the third decimal, you look at the fourth one. And since the fourth one is 8, ur going round 2, which is the third decimal to 3.

Answer:

The answer is below

Step-by-step explanation:

In this question, to round three decimal place, we need to count three numbers after the dot.

Here..

the three numbers are 142

so after that we round it, so first of all we ignore 1 and, and focus on the number 2 and 4.

and if the number is below 5, it is rounded to the last number, but if the number is 5 or more than it, then we round it to the next number.

For example

142 - here we have 2, which is below 5, so we round it to '140'

where as if we have..

147 - here we have 7, which is above 7, so we round it to '150'

____________________________________________________________

So in this problem we round 142, so the number 2 is below 5 so it is round to 140

therefore the answer is - 3.14

How to solve this question

Answers

hopefully this answer can help you to answer the next question. can you choose this answer as the brainliest answer and give five stars

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 5:32 p.m At this time, he started pumping gas into the tank. At exactly 5:38 p.m , the tank was full and he noticed that he had pumped 10.6 gallons. What is the average rate of flow of the gasoline into the gas tank?

Answers

9514 1404 393

Answer:

  1.767 gal/min

Step-by-step explanation:

The flow rate in gallons per minute is found by dividing gallons by minutes.

  (10.6 gal)/(6 min) ≈ 1.767 gal/min

look at the image to find the question

Answers

Answer:

yes, the volume = 16 ft^3

I do not understand this question, anyone help? Most brainiest for the right answer!

Answers

Answer:

56.7

Step-by-step explanation:

We know

mean = sum / count, with count being the amount of papers corrected in this case. We want to find the sum of all the papers as well as the count to figure out the mean of all papers.

For Tony's papers,

mean = sum / count

50 = sum / 40

multiply both sides by 40 to isolate the sum

sum = 50 * 40 = 2000

For Alice's papers,

mean = sum / count

70 = sum / 20

multiply both sides by 20 to isolate the sum

70 * 20 = sum = 1400

The total sum of all 60 papers is equal to the sum of 40 papers + the sum of the remaining 20 papers, or 2000 + 1400 = 3400. The mean of the 60 papers is therefore

mean = sum / count

mean = 3400/60 ≈ 56.7

Find the perimeter of the image below

Answers

Permittee image below find of

Ivan drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 737 miles?
hours
Х
?

Answers

Answer: x= 11

Step-by-step explanation:

To answer the question, we first need to know how many miles he/she/it can drive in one hour (to make it simpler. Doing a bunch of calculations involving decimals and other stuff can be very confusing)

335 divided by 5 is 67

Therefore in one hour Ivan can drive 67 miles. We want to know the TIME it takes for Ivan to drive 737 miles and the formula for time is Distance / Speed.

The distance is 737 miles

The speed is 67 miles/hour

737 divided by 67 is 11

Therefore Ivan takes 11 hours to drive 737 hours

(Công ti A, kì kế toán theo tháng, đơn vị tính : vnđ). Tháng 1/N, công ti A bán 1 lô hàng hóa cho công ti T, tổng trị giá bán là 500.000.000đ, khách hàng đã nhận đủ hàng và thanh toán ngay 50% bằng tiền gửi ngân hàng, số còn lại cam kết thanh toán (theo hợp đồng) vào tháng 2/N. Hỏi : kế toán ghi nhận doanh thu tháng 1/N và tháng 2/N như thế nào nếu đơn vị áp dụng 2 nguyên tắc trên?

Answers

Duenxiyi ïôf h ûîö œêùd

What is the probability of rolling a 2 and 3 with 2 die

Answers

1/6 * 1/6 = 1:36
the probability of rolling a 2 is 1/6 and the probability of rolling a 3 is 1:6 to find the final probability you need to multiply the two

If 2L of solution needs to be administered through an IV over 24hours, then how many mililitres of solution needs to be provided per hour, rounded to two decimal places?

Answers

Answer:

83.33 milliliters

Step by step explanation:

2L = 2000 ml   Change the liters to milliliters first

2000 ml : 24 hours

x ml : 1 hour

Next you cross multiply : 2000 × 1 hour = 2000 and 24 × x = 24x

Then you divide:

[tex]\frac{24x}{24} : \frac{2000}{24}[/tex]

x : 83.3333333...

When this is rounded off it is equal to 83.33

HOPE THIS HELPED

The produce of three and the sum of a number and eight

Answers

Answer:

3(x + 8)

Step-by-step explanation:

"The product of three and the sum of a number and eight".

First, note that:

1) Product means multiply.

2) Sum means addition.

With that in mind, also note the order of operations. The order of operations is defined as PEMDAS, or:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Also, let "a number" be denoted as the variable, x.

~

Firstly, "the sum of a number and eight": x + 8

Next, "The product of...": 3 *

Putting the two parts together will generate: 3(x + 8)

3(x + 8) is your answer.

~

Ron has 22 coins with a total value of $ 1.85. The coins are nickels (5 cents) and dimes (10 cents). How many of each coin does he have?
Please help asap and thank you in advance!!

Answers

Answer:

18 dimes and 1 nickle

Step-by-step explanation:

This is because 18 time 10 is 180 and one of 5 add it and this is $1.85

Remeber a dollar is 100 cents

15 dimes, $1.50 and 7 nickels 35¢.


22 coins in total, $1.85 in total.

Hope this helps.

Question 9
Explain using complete sentences how you would solve for the
variable a in this equation : p = (3a +4)/ b
Edit View
Insert
Format Tools Table
12nt
Daragranh
DET
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A
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T2

Answers

Answer:

To solve for a, you will need to get that variable alone on one side. First you will multiply each side by variable b. This will give you the equation pb = 3a + 4. Next you subtract 4 from each side. This puts it at pb - 4 = 3a. After that you’ll divide both sides by 3 and get a alone. This gives you (pb - 4)/3 = a or, if you switch it around, a = (pb - 4)/3. This is the simplest form when solving for a in this equation.

Answer:

Hello,

All my sentences will be written in mathematical language.

Step-by-step explanation:

[tex]p=\dfrac{3a+4}{b} \\\\p*b=3a+4 \ :\ \forall\ x,y,z\in\mathbb{R},z\neq 0:x=y\Longleftrightarrow\ x*z=y*z\\\\p*b-4=3a \ :\forall\ x,y,z\in\mathbb{R} :x=y\Longleftrightarrow\ x+z=y+z\\\\\dfrac{p*b-4}{3} =a \ :\forall\ x,y,z\in\mathbb{R},z\neq 0:x=y\Longleftrightarrow\ x*z=y*z\\\\a=\dfrac{p*b-4}{3} \ :\forall\ x,y\in\mathbb{R}:x=y\Longleftrightarrow\ y=x[/tex]

Which equation represents a circle whose center is left parenthesis negative 7 comma 4 right parenthesis with a radius of 5?

Answers

Answer:

last option

Step-by-step explanation:

(x-h)²+(y-k)²=r²

(x--7)²+(y-4)²=5²

(x+7)²+(y-4)²=25

The equation of the circle is (x + 7)² + (y - 4)² = 25.

Option D is the correct answer.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The equation of a circle with center (h,k) and radius r.

(x - h)² + (y - k)² = r²

Substituting the given values, we get:

(x - (-7))² + (y - 4)² = 5²

Simplifying the equation:

(x + 7)² + (y - 4)² = 25

Therefore,

The equation of the circle is (x + 7)² + (y - 4)² = 25

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ3

A rectangular plot has 17 m length and 14 m width. What will be the cost

of fencing at a rate of Rs. 25 per metre?

Answers

Answer:

Step-by-step explanation:

perimeter=2(l+w)=2(17+14)=2(31)=62 m

cost of fencing=62×25=1550 Rs.

How many gallons of a 42% salt solution do we need to mix with 98 gallons of a 20% salt solution so that the resulting mixture is a 28% salt solution ?

Answers

Answer:

56

Step-by-step explanation:

98 gallons of a 20 percent salt solution results in 20/100 * 98 = 19.6 gallons of salt.

Let's say we need x gallons of the 42% salt solution.

To make sure that the resulting mixture has 28% salt, we need to have the total salt divided by the total amount of gallons.

We have 98 total gallons in the first solution, and x total gallons in the second solution. We have 19.6 gallons of salt in the first solution and 42% of x gallons in the second solution:

[tex]19.6+\frac{42}{100}(x)=\frac{28}{100}(98+x)[/tex]

Expanding, we have

[tex]19.6+\frac{42}{100}x=27.44+\frac{28}{100}x[/tex]

Subtracting 19.6 and subtracting 28/100x from both sides equals

[tex]\frac{14}{100}x=7.84[/tex]

Multiplying both sides by 100:

[tex]14x=784[/tex]

Dividing both sides by 14:

[tex]x=56[/tex]

HELPP plz don't send a file whats the answer and explanation plz if you can

Answers

Answer:

5/0 is not a rational number

Step-by-step explanation:

you cant divide by 0

Two trains are 500 miles apart when they first start moving towards each other. If in two hours the distance between them is 300 miles and one train goes 20 miles faster than another, find the speed of the faster train. (Note: there are two possible solutions. Could you please find both?)

Answers

Answer:

Step-by-step explanation:

They travel 500 - 300 = 200 miles in 2 hours so their combined speed is

100 mph.

If their respective speed are x and y mph then we have the system

x + y = 100

x - y = 20

Adding the 2 equations

2x = 120

x = 60

and y = 40.

The other solution is that y = 60 mph and x = 40 mph.

What is the value of n in the equation shown?
Captionless Image

Answers

Answer:

bzbdvdbdyrhevgdhs sdd

Step-by-step explanation:

ushebdvrudvd very

zhrjdvfjvrhfbrjrbr

hhrbdbdbfbfhfhthr

rhdjdbbffbdbbdve

Describe how to find the domain of a square root function just by looking at the function.

Answers

Answer:

Step 1: Set the expression inside the square root greater than or equal to zero. Step 2: Solve the equation found in step 1. In this case, we divided by a negative number, so had to reverse the direction of the inequality symbol. Step 3: Write the answer using interval notation.

The length of the hypotenuse of a 30​ -60 ​-90 triangle is 32. What are the lengths of the​ legs?

Answers

Answer:

16, 16(sqrt3)

Step-by-step explanation:

30-60-90 triangles follow a rule where the hypotenuse is 2 times the shortest leg, and the longer leg is sqrt3 times the shorter leg.

So, the sides are x, 2x, and (sqrt3)x.

If 2x = 32, then x = 16.

Therefore the two legs are 16 and 16(sqrt3)

you can search up 30-60-90 triangle for more information

look at the image below

Answers

The answer is 113.1ft³
That looks like a sphere to me

[tex]if x = -5\\x^{2} + 3\\x - 2[/tex]

Answers

Answer:

this question is inappropriate

please Help with my area math question. ​ I don't remember how to do it. multiply or add? and what is the answer to this?

Answers

Answer:

100 inches^3

Step-by-step explanation:

The volume of the back rectangle is

V = l*w*h

V = 8*5*1 = 40 inches ^3

The volume of the front rectangle is

V = 6*2*5 = 60 inches^3

Add the volumes

40+60 = 100 inches^3

5 times 3 times 2

show work

Answers

Answer:

30

Step-by-step explanation:

5x3=p

px2 = a

5x3 = 15 x 2 = 30

Answer:

5 times 3 times 2=30

Step-by-step explanation:

5×3=15×2=30

A physician orders Diflucan oral suspension 200 mg now followed by 100 mg daily for a total of two weeks. How many 35 mL bottles of Diflucan 10 mg/ml suspension are needed to fill this prescription?

Answers

Answer:

Step-by-step explanation:

Total amount = 200 mg + (13 days)×(180 mg)/day = 2620 mg

One 35 mL bottle contains (35 mL)×(10 mg)/mL) = 350 mg of medication.

(2620 mg)×(1 bottle)/(350 mg) ≈ 7.5 bottles

8 bottles are needed.

2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Answers

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

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