Are the solutions correct?

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

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.

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:

what he said

Step-by-step explanation:

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

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:

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:

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:

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.

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:

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

Answer:

A. W-2 form

Step-by-step explanation:

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.

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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<, > - 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:

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:

I THINK THE ANSWER IS D

TELL ME IF I"M WRONG

Step-by-step explanation:

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: 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.

[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:

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

Let us simplify each Expression Separately :

✿  [tex]\mathsf{(\frac{cot\theta.cos\theta}{sin\theta}).tan\theta}[/tex]

[tex]\mathsf{\implies (\frac{cot\theta.tan\theta.cos\theta}{sin\theta})}[/tex]

[tex]\mathsf{We\;know\;that : tan\theta.cot\theta = 1}[/tex]

[tex]\mathsf{\implies (\frac{cos\theta}{sin\theta})}[/tex]

[tex]\mathsf{We\;know\;that : cot\theta = \frac{cos\theta}{sin\theta} }[/tex]

[tex]\mathsf{\implies (\frac{cot\theta.cos\theta}{sin\theta}).tan\theta = cot\theta }[/tex]

✿  [tex]\mathsf{(\frac{sin\theta}{cos\theta.tan\theta})}[/tex]

[tex]\implies \mathsf{(\frac{\frac{sin\theta}{cos\theta}}{tan\theta})}[/tex]

[tex]\mathsf{We\;know\;that : tan\theta = \frac{sin\theta}{cos\theta} }[/tex]

[tex]\implies \mathsf{(\frac{tan\theta}{tan\theta})}[/tex]

[tex]\implies \mathsf{1}[/tex]

[tex]\mathsf{\implies (\frac{sin\theta}{cos\theta.tan\theta}) = 1}[/tex]

[tex]\mathsf{The\;Simplest\;form\;of\;the\;Given\;Expression\;is : cot\theta}[/tex]

The simplifying form of expression by using the trigonometry formula is,

⇒ [tex]\frac{cot (\theta) cos (\theta) }{sin (\theta) } \times tan(\theta) \div \frac{sin (\theta)}{cos(\theta)tan(\theta)}[/tex] = cot θ

The used formula is,

[tex]\frac{sin \theta }{cos \theta } = tan \theta[/tex]

And, [tex]\frac{cos \theta }{sin \theta } = cot \theta[/tex]

Given that,

The expression is,

[tex]\frac{cot (\theta) cos (\theta) }{sin (\theta) } \times tan(\theta) \div \frac{sin (\theta)}{cos(\theta)tan(\theta)}[/tex]

Now, by using the trigonometry formula, simplify the expression as,

⇒ [tex]\frac{cot (\theta) cos (\theta) }{sin (\theta) } \times tan(\theta) \div \frac{sin (\theta)}{cos(\theta)tan(\theta)}[/tex]

Substitute [tex]\frac{sin \theta }{cos \theta } = tan \theta[/tex] And, [tex]\frac{cos \theta }{sin \theta } = cot \theta[/tex],

⇒ [tex]\frac{cot(\theta)}{tan\theta} \times tan\theta \div \frac{tan\theta}{tan\theta}[/tex]

⇒ [tex]cot \theta \div 1[/tex]

Therefore, the solution of expression is,

⇒ cot θ

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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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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

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:

16.5 inches

Step-by-step explanation:

WE have arc length formula for a circle as

Arc length = [tex]\frac{x}{360} (2\pi r)[/tex]

where x is the central angle the arc subtends at the centre.

Here x = 135

r= 7 inches

Hence arc length

=[tex]\frac{135}{360} (2\pi )(7) =16.5"[/tex]

Hence option B

16.5 inches is right answer for arc length for a circle of radius 7 inches.

The measure of length of arc AB is 16.5 inches. Therefore, option B is the correct answer.

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Given that, the radius of the circle is 7 inches and measure of arc AB is 135°.

Let O be the center of circle.

So, ∠AOB=135°

We know that, arc length of circle is θ/360° ×2πr

= 135°/360° ×2×3.14×7

= 0.375×2×3.14×7

= 16.485

≈ 16.5 inches

Therefore, the approximate length of AB is 16.5 inches.

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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.