x/ 2 = 7

A) x = 5
B) x = 7
C) x = 9
D) x = 14

Answer:

k = 25

Step-by-step explanation:

(2x  - sqrt(k) )^2              Expand this as a binomial                          

4x^2 - 4x*sqrt(k) + k      The middle term must be -20x Solve for k so it is

-4xsqrt(k) = - 20x            Divide by -4x

sqrt(k) = -20x/-4x             Do the division

sqrt(k) = 5                         Square both sides

k = 25

Bank of Peace= 15000(1+0.025)³=£16153.36

Bank of Trust=15000(1+0.038)=£15570

£15570(1+0.01)=£15882.95

Bank of Peace is the best choice.

I would choose the  Bank of Peace to get the most of my savings.

Formula for calculating the compound value of the savings at the Bank of Peace = FV = P (1 + r)^n

FV = Future value  

P = amount deposited  

R = interest rate  

N = number of years

£15,000 x (1.025)^3 = £16,153.36

Interest earned at the Bank of Trust in the first year = £15,000 x 0.038 = $570

Total amount at the end of the first year = $570 + £15,000 = £15,570.

Value for the two extra years = $15,570 x (1.01)^2 =$15,882.96

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Answer:

Yes it is proportional.

Step-by-step explanation:

35/1 is the same thing as 70/2, as well as 105/3, because they all simplify to 35/1.

Answer:

I THINK THE ANSWER IS D

TELL ME IF I"M WRONG

Step-by-step explanation:

Answer:

Option a is the correct choice.

Step-by-step explanation:

Let n be number of hours studied by Nikki.

We are told that Cindy studied seven more hours than Nikki studied. This means that number of hours studied by Nikki plus 7 hours equals to the number of hours studied by Cindy.    

We can represent this information in an expression as :

[tex]\text{The number of hours studied by Cindy}=n+7[/tex]

We can see from our given choices that expression given in option a represents the number of hours studied by Cindy in terms of hours studied by Nikki.

Therefore, option a is the correct choice.

Answer:

It is when you distribute one number between two numbers like this

Step-by-step explanation:

2(5+3)

5 x 2 and 2 x 3

10 + 6

16

Answer:

$8.2

Step-by-step explanation:

The final price of the coat = $45 -0.2 * $45 = $36

The final price of the suit = $95 − 0.3 * $95 = $66.5

sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2

Hi There!

Answer:

B) 28

Step-by-step explanation:

y = 12 and x = 14 are both proportional.

y = 24 and x = ? are both proportional.

You notice that 24 is twice as much as 12 so we do the same with x.

14 * 2 = 28

They are both proportional when y = 24 and x = 28.

Hope This Helps :)

Answer:

B) 28

Step-by-step explanation:

The equation for direct proportion is

y= kx

If y =12 and x =14

12 = k * 14

Divide each side by 14

12/14 = k

Simplifying

6/7 =k

y =6/7 x

Now if y =24

24 = 6/7 x

Multiply each side by 7/6 to isolate x

24 * 7/6 = 7/6 * 6/7 x

28 =x

[tex]\dfrac{13}{10}=\dfrac{13}{10}\cdot100\%=13\cdot10\%=130\%\\\\\dfrac{13}{10}\ \text{of a number is}\ 130\%\ \text{of a number}.[/tex]

Answer:

130%

Step-by-step explanation:

Answer:

the ansnwer is 56

mark as brainlest please!!

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Add 7, 8 times and you'd get 56

The expression 2x²+ 5x - 12 has infinite many solutions

From the question, we have the following parameters that can be used in our computation:

2x²+ 5x - 12

The above is an expression and not an equation

This means that it has infinite many solutions

Hence, the expression 2x²+ 5x - 12 has infinite many solutions

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The problem where one number is 7 more than another and their squares differ by 217 can be solved by creating a system of equations and simplifying to find the numbers are 12 and 19.

To solve the problem where one number is 7 more than another and the difference between their squares is 217, we can create a system of equations. Let's assume the first number is x and the second number is x+7. The problem then translates to the equation (x+7)² - x² = 217.

Step-by-step solution:

After computing the solution, we find that the two numbers are 12 and 19.

<, > - dotted line

≤, ≥ - solid line

[tex]2x-3y<18\qquad\text{subtract 2x from both sides}\\\\-3y<-2x+18\qquad\text{change the signs}\\\\3y>2x-18\qquad\text{divide both sides by 3}\\\\y>\dfrac{2}{3}x-6\\\\y=\dfrac{2}{3}x-6-\text{It's a linear function}\\\\for\ x=0\to y=\dfrac{2}{3}(0)-6=0-6=-6\to(0;\ -6)\\\\for\ x=6\to y=\dfrac{2}{3}(6)-6=2(2)-6=4-6=-2\to(6;\ -2)[/tex]

Answer:

144/3=48 ft per sec

Step-by-step explanation:

Answer:

48 per second

Step-by-step explanation:

if you divide 144 by 3 you get 43

Answer:

see explanation

Step-by-step explanation:

(1)

to calculate the slope m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (18, - 5)

m = [tex]\frac{-5+5}{18+2}[/tex] = [tex]\frac{0}{20}[/tex] = 0

(2)

divide number of miles travelled by number of gallons used

= [tex]\frac{132}{6}[/tex] = 22 miles per gallon

Answer: Segment AC (second choice)

The radius is the segment that goes from the center, point A, to a point on the circle (either B, C or M). Since AB and AM aren't mentioned, this means that only AC is a radius of the four answer choices listed.

Our first step is the find the lcm of 4 and 12 so we can add the two fractions without having a problem.

The lcm of 4 and 12 is clearly 12 because 12 is a multiple of 4. 12 divided by 4 is 3, so you must multiply by 3/3 to be able to add the two fractions.

1/4*(3/3)=3/12.

So, 3/12+5/12=7/12.

Jim and Jon painted 7/12 of the the fence.

Answer:

2/3 of the fence

Step-by-step explanation:

Jim painted 1/4 of the fence

Jon painted 5/12 of the fence

Together they painted

1/4+5/12 of the fence

We need a common denominator to add the fractions

The common denominator is 12

1/4*3/3 + 5/12

3/12 + 5/12

8/12

This can be simplified by dividing the top and bottom by 4

2/3

Together, they painted 2/3 of the fence.

Answer:

11/12

Step-by-step explanation:you have to turn all the mixed numbers into improper fraction so 1 1/3 is 16/12 1 1/4 is 15/12 and if you add them you get 2 7/12 and that minus 3 6/12 is 11/12

There are 11/12 ounces of black pepper in Catalina's seasoning packet.

Catalina uses a 3 1/2 ounce packet of seasoning for her steaks.

This packet contains 1 1/3 ounces of garlic powder and 1 1/4 ounces of onion powder.

To find out how many ounces of black pepper are in the packet, we need to subtract the combined weight of the garlic and onion powders from the total weight of the seasoning packet.

Garlic powder: 1 1/3 ounces = 4/3 ounces

Onion powder: 1 1/4 ounces = 5/4 ounces

Total seasoning packet: 3 1/2 ounces = 7/2 ounces

We then add the amounts of garlic and onion powders to get their combined weight:

4/3 + 5/4 = (16 + 15) / 12 = 31/12 ounces

The next step is to subtract the combined weight of the garlic and onion powder from the total weight of the seasoning packet:

7/2 ounces - 31/12 ounces = (7\*6 - 31) / 12 = (42 - 31) / 12 = 11/12 ounces.

Answer:

5.00 a yard

Step-by-step explanation:

5.4 + 6.2 = 11.6

58.00 divided by 11.6 =

5

5.00 a yard

Answer:

$5 per yard

Step-by-step explanation:

Add 6.2 and 5.4

You get 11.6

Divide 11.6 by 58

The answer is 5

Answer:

a(n) = 130 + (n-1) 13

13th term = 286

Step-by-step explanation:

We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.

We know that the arithmetic sequence can be defined by:

[tex]a_n=d(n-1)+c[/tex]

where [tex]d[/tex] = the common difference between consecutive terms ; and

[tex]c[/tex]=[tex]a_1[/tex]

13th term:

[tex]a_{13}=130+(12)13 = 286[/tex]

Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.

Answer:

18.84 (or 19 to 2.s.f)

Step-by-step explanation:

The formula for the circumference of a circle is π * diameter. To find the diameter you multiply the radius by 2:

3 * 2 = 6

Then simply plug the value into the formula:

π * 6 = 6π ≈ 18.84 ≈ 19 to 2.s.f

Answer:The answer is 18.84

Step-by-step explanation:To figure out the circumference of a circle you need to divide the radius by 2. After that you would do [tex]2\pi * ( your number )[/tex] * 2

Answer:

3

Step-by-step explanation:

If you look at this number line, all you have to do is count how many times it takes to get from -3 to 3. And you get 3.

Answer:

An infinite amount

Step-by-step explanation:

Because numbers stretch on infinitely you literally can keep multiplying the starting value by numbers forever to keep equal fractions.

The simple interest after three years is ₹2625 and the total amount is ₹14,375.

To find the simple interest and total amount after three years, we can use the formula:

Simple Interest = Principal × Rate × Time

Total Amount = Principal + Simple Interest

Given that the Principal is ₹11,750 and the Annual Rate of Interest is 7.5%, we can calculate the Simple Interest by substituting these values into the formula:

Simple Interest = ₹11,750 × 0.075 × 3

After calculating, we find that the Simple Interest is ₹2625.

To find the Total Amount, we can use the formula:

Total Amount = Principal + Simple Interest

Substituting the values into the formula, we get:

Total Amount = ₹11,750 + ₹2625

After calculation, the Total Amount is ₹14,375.

Answer:

50%

Step-by-step explanation:

47 is half of 94 which is the same thing as 50% of 94

Answer:

94% of 47 is just 47 x 0.94 ¯\_(ツ)_/¯

So 44.18

Please mark brainliest which would help alot.

Step-by-step explanation:

Answer:

A. W-2 form

Step-by-step explanation: