Solve the following equation:
2/3 - 1/x = 13/15

Answer:

7.2

Step-by-step explanation:

The radius of the circle is 14.

The length of the chord is 12.

Half the length of the chord and radius form a right angled triangle as shown in the diagram below.

We need to find one of the sides of the triangle, d in the diagram.

Using Pythagoras rule:

[tex]14^2 = 12^2 + d^2\\\\196 = 144 + d^2\\\\d^2 = 196 - 144 = 52\\\\d = \sqrt{52} = 7.2[/tex]

The distance between the chord and the center of the circle is 7.2

Answer: 4sqrt10

Step-by-step explanation: The Chord is 12 so half the chord is 6 so the base is 6 and the radius is the hypotenuse, which is 14. and the distance is the missing leg.

so 14^2=6^2+x^2

196=36+x^2

sqrt160=x

4sqrt10=x

Answer: 364 with a remainder of 28

Step-by-step explanation:

14952/41

41 goes into 149 3 times

149 - (41 *3)

149 - 123 = 26

41 goes into 265 6 times

265 - (41*6)

265 - 246 = 19

41 goes into 192 4 times

192 - (41*4)

192 - 164 = 28

So 14952/41 = 364 with a remainder of 28

Answer:

The answer is -13.

Step-by-step explanation:

Answer:

40 copies for $3000

Step-by-step explanation:

First: The Equation

y=(20+x)(100-x)

This shows how for every new painting, the price will go down.

y=2000+80x-x²

Convert it to standard form: ax²+bx+c

You can now choose to graph it or find the vertex form. For the limit of time, I will just use a graph.

The vertex, (40,3000), is your answer, where the x value is the number of paintings and the y value the money made.

Answer:

4x +16 the slope is 4 because its parallel to the other equation

The solution is: the equation of the line that is parallel to the line

y - 1 = 4(x + 3) and passes through the point (4, 32) is y = 4x + 16.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have,

When two lines are parallel, their slope stays the same. thus we have y = 4x (so far)

Then use the point (4, 32) to plug in the coordinates to y = 4x + b

y = 4x + b (because y-intercept changes)

32 = 4(4) + b

32 = 16 + b

b = 32 - 16

b = 16

now, we get,

the y-intercept is 16 and the equation of the line that passes through the point (4,32) and is parallel to the line y = 4x + 13 is y = 4x + 16.

Hence, The solution is: the equation of the line that is parallel to the line

y - 1 = 4(x + 3) and passes through the point (4, 32) is y = 4x + 16.

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Answer:

The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.

Step-by-step explanation:

The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!

Answer:

40

Step-by-step explanation:

To solve this, we can create an equation that represents this situation. Since Christopher score 7 more than twice what Mathew scored, the equation will be:

C = 2M + 7

(Variables are representative of the first letter of each name)

Seeing as Christopher scored 87, we can put that into the equation and solve for M.

So, the equation will be:

87 = 2M + 7

Subtract 7 from both sides in order to isolate variable M on the right side.

80 = 2M

Now solve for M, which is 40 (divide both sides by 2).

Answer:

I think that the answer is C

Answer: D. h(x) = 3x - 6

Step-by-step explanation:

edge2021

Answer:

$180

Step-by-step explanation:

First, you have to calculate the amount that Olivia would have paid at the end of the loan which would be the result of multiplying her monthly payment for the number of payments:

Total payment= $308*(12*5)

Total payment= $308*60

Total payment= $18,480

Then, you have to calculate the amount that Garrett would have paid at the end of the loan:

Total payment= $311*(12*5)

Total payment= $311*60

Total payment= $18,660

Now, you have to calculate the difference in the amount Olivia and Garrett would have paid:

$18,660-$18,480= $180

According to this, an $18,000 loan will cost Garrett $180 more than Olivia.

Answer:

Including the princpal and two counselors, only 40 students will be able to attend each meeting.

If the principal and two counselors dont attend, then 41 students can attend with one of their parents.

Answer to the question:

2.9m

Answer: The no. is 8

Step-by-step explanation:

Let the no. be x

6x - 1 = 47

6x = 48

x = 8

Answer:

let the certain number be x

6 × x - 1= 47

6x - 1 = 47

6x = 47 + 1

6x = 48

x = 48/6

x = 8

Answer:

The first pair.

Step-by-step explanation:

3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.

Answer:

[tex](x^{-3} )^{2}[/tex]

[tex]x^6 x^{-12}[/tex]

Step-by-step explanation:

[tex](x^{3} x^{-6} )^{2}[/tex] is the expression given to be solved.

First of all let us have a look at 3 formulas:

[tex]1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}[/tex]

Both the formula can be applied to the expression([tex](x^{3} x^{-6} )^{2}[/tex]) during the first step while solving it.

Applying formula (1):

[tex](x^{3} x^{-6} )^{2}[/tex]

Comparing the terms of [tex](x^{3} x^{-6} )[/tex] with [tex]p^a \times p^b[/tex]

[tex]p=x, a =3, b=-6[/tex]

[tex]\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}[/tex]

So, [tex](x^{3} x^{-6} )^{2}[/tex] is reduced to [tex](x^{-3} )^{2}[/tex]

Applying formula (2):

Comparing the terms of [tex](x^{3} x^{-6} )^{2}[/tex] with [tex](p^a \times q^b)^c[/tex]

[tex]p=q=x, a =3, b=-6, c=2[/tex]

[tex]\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}[/tex]

So, [tex](x^{3} x^{-6} )^{2}[/tex] is reduced to [tex]x^6 x^{-12}[/tex].

So, the answers can be:

[tex](x^{-3} )^{2}[/tex]

[tex]x^6 x^{-12}[/tex]

Answer:

b d

Step-by-step explanation:

Answer:

r = 7/(9sinθ - cosθ)

to rectangular form is:

y = (1/9)x + 7/9

Step-by-step explanation:

Given that

r = 7/(9sinθ - cosθ)

Consider the following polar-to-rectangular equivalents.

x² + y² = r²

x/r = cosθ

y/r = sinθ

So

r = 7/(9sinθ - cosθ)

Can be written as

r = 7/(9y/r - x/r)

r = 7/(1/r)(9y - x)

Multiplying through by (1/r)

1 = 7/(9y - x)

Multiplying through by (9y - x)

9y - x = 7

9y = x + 7

Divide both sides by 9

y = x/9 + 7/9

y = (1/9)x + 7/9

And this is the answer

Answer:

y = (1/9)x + 7/9

Step-by-step explanation:

Divide both sides by 9

y = x/9 + 7/9

y = (1/9)x + 7/9

Divide both sides by 9

y = x/9 + 7/9

y = (1/9)x + 7/9

Answer: H' = (-4, 4)

Step-by-step explanation:

H = (-4, -4)

reflect across y = -2:

H is 2 units below y = -2 so when reflected it will be 2 units above y = -2

--> the x-coordinate doesn't change    the new y-coordinate is: 0

H' = (-4, 0)

reflect across y = 2:

H' is 2 units below y = 2 so when reflected it will be 2 units above y = 2

--> the x-coordinate doesn't change    the new y-coordinate is: 4

H'' = (-4, 4)

Answer:

Is the time in the graph drawn?

Step-by-step explanation:

Answer: 26

Step-by-step explanation:

cut 3 and 15

cut 5/10 which was 15/10

15/10=2

then multiply 13*2 = 26

Answer:

Step-by-step explanation:

Total surface area of a cone [tex]S[/tex] = [tex]\pi r^{2}+\pi rl\\[/tex]

Since the diagram is half of a cone, its surface area will be [tex]S = \frac{\pi r^{2} +\pi rl}{2}[/tex]

r = radius of the cone

l = slant height

From the diagram diameter of the cone = 16m;

r = 16/2 = 8m

l = 17m

[tex]S = \frac{\pi (8)^{2} +\pi (8)(17)}{2}\\S = \frac{64\pi + 136\pi }{2} \\S = 32\pi + 68\pi \\S = 100\pi cm^{2}[/tex]

Answer: x= 6.6667

Step-by-step explanation:

subtract 15 on both sides=20

divide 3 on both sides

Answer:

6.666

Step-by-step explanation:

Answer:

Yo whats up

Step-by-step explanation:

...

Answer:

OK but you get specific answers here and you can't always find the exact thing you're looking for on google

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

w(x) = 2x³ + 3x

Put x as 3.

w(3) = 2(3)³ + 3(3)

Solve for the power.

w(3) = 2(27) + 3(3)

Multiply the terms.

w(3) = 54 + 9

Add both the terms.

w(3) = 63

Answer:

I hope it helps :)

Step-by-step explanation:

[tex]w(x) = 2x^3+ 3x\\w(3)\\w(3) = 2(3)^3 +3(3)\\w(3) = 2(27) +9\\w(3) = 54+9\\w(3) =63[/tex]

Answer:

250 girls in the school and 370 students all total

Step-by-step explanation:

250 girls are in the school and 390 total students in the school.

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

The ratio of boys to girls in a school is 12:25

Let, No. of boys in the school = 12x

No. of girls in the school = 25x

Total students in the school = 12x+25x = 39x

Given, there are 120 boys

So, 12x = 120

x = 10

No. of girls in the school = 25x = 25(10)

No. of girls in the school = 250

Total students in the school = 39x = 39(10)

Total students in the school = 390

Hence, 250 girls are in the school and 390 total students in the school.

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Answer:

2/3, 7/10, 11/15 and 4/5

Step-by-step explanation:

2/3=0.66

7/10=0.7

11/15=0.73

4/5=0.8

Answer:

9 = (9 x 8)/8 = 72/8

10 =(10 x 8)/8 = 80/8

=> Six rational numbers between 9 and 10​ could be selected as:

73/8, 74/8, 75/8, 76/8, 77/8, 78/8

Hope this helps!

:)

Answer: A =350 (1.05)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form; 5/100=0.05)

t= years

A = population after t years

Replacing with the values given:

A = 350 (1+0.05)^t

A =350 (1.05)^t

Feel free to ask for more if needed or if you did not understand something.

Answer: 9π/2

Step-by-step explanation:

A semicircle is half of a circle. Therefore, you must divide the area by 2.

[tex]A=\frac{\pi r^2 }{2}[/tex]

Since we know the radius, we can directly plug it into the formula.

[tex]A=\frac{\pi (3)^2}{2} =\frac{9\pi }{2}[/tex]

Since the problem stated to give the answer in terms of π, 9π/2 is our answer.

Answer:

[tex]\frac{9\pi }{2}[/tex] cm²

Step-by-step explanation:

The area of a semicircle can be expressed by the formula [tex]\frac{\pi r^{2} }{2} = A[/tex].

When you plug in the radius, you get [tex]\frac{\pi 3^{2} }{2} = \frac{\pi 9}{2} = \frac{9\pi }{2}[/tex].

Answer:

Step-by-step explanation:

to calculate mean add all the entries in a week ,then divide by 7(the number of days)

i give you hint

mean for week 1=(52+65+...   +60)/7

Answer:

$83.2

Step-by-step explanation:

price= $128

sale discount= 35%

sale price= $128- 35%= $128*0.65= $83.2

Answer:

83.2$

Step-by-step explanation:

Given:

A docking station for an iPod cost 128$.

The discount percent is 35%.

Solve for:

The sale price of docking station.

Solution:

The amount of discounted price (DP) could be calculated by formula:

DP = original price x discount percent

     = 128 x 35%

     = 128 x 35/100

     = 44.8$

=> The sale price (P) is:

P = original price - discounted price

  = 128 - 44.8

  = 83.2$

Hope this helps!

The value of the given expression √121 + ∛125 would be 16 which is determined by the square root and cube root properties.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The expression below which is given in the question

⇒ √121 + ∛125

Here 11×11 = 121 and 5×5×5 = 125

⇒ √(11×11) + ∛(5×5×5)

By the square root and cube root properties to get

⇒ 11 + 5

Apply the addition operation,

⇒ 16

Thus, the value of the given expression √121 + ∛125 would be 16.

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