One fifth of a number is subtracted from four fifth of the same number. If the result is 9, what is the number. ​

Answers

Answer 1

Let x be the unknown number. One fifth of this number is x/5, one fourth of this number is x/4. So, we have

[tex]\dfrac{x}{4}-\dfrac{x}{5} = \dfrac{5x-4x}{20} = \dfrac{x}{20}[/tex]

We know that this difference equals 9, so we have

[tex]\dfrac{x}{20}=9[/tex]

Multiply both sides by 20 to get

[tex]x=180[/tex]


Related Questions

PLEASE HELP ASAP

Given: circle k(O), m FE =56°, FD=ED, m∠EFD=76°
Find: m∠EFO

Answers

Based on the inscribed isosceles triangle shown below, the measure of angle EFO is 62°.

In Euclidean Geometry, the measure of an intercepted arc is equal to the central angle of a circle. Based on the information provided above, the measure of arc FE is equal to 56°, so the measure of the central angle FOE must be equal to 56°.

By critically observing triangle FOE, we can logically deduce that it is an isosceles triangle with base FE because segments FO and EO represent the radii of circle O.

Since an isosceles triangle comprises two (2) side lengths that are equal and two (2) base interior angles that are congruent, we have:

FD = ED

m∠EFO ≅ m∠FEO

By applying triangle sum property to triangle FOE, we have;

m∠EFO + m∠FEO + mFE = 180°

2m∠EFO + m∠FE = 180°

2m∠EFO + 56° = 180°

m∠EFO = (180° - 56)/2

m∠EFO = 62°

Complete Question:

Given: circle k(O), m FE =56°, FD=ED, m∠EFD=76°

Find: m∠EFO

If f(x) = 5x + 4, which of the following is the inverse of f(x)?

Answers

set f(x) equal to y

y = 5x + 4

swap x and y

x = 5y + 4

make y the subject

x - 4 = 5y

[tex]y = \frac{x - 4}{5} [/tex]

replace y with f^-1(x)

[tex]f(x) = \frac{x - 4}{5} [/tex]

Which of the following sets of side lengths would not form a triangle?

A. 29, 39, 69

B. 29, 38, 49

C. 29, 41, 19

D. 29, 37, 10

Answers

The answer is A.

29 + 39 < 69.

f(x) = x2 − 8x 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(x) is U

Answers

Answer:

h(x) =  x - 5

set of all integers except 3

-∞ ≤ x ≤ ∞ and x ≠ 3

Step-by-step explanation:

Given the two equations in the question

Equation 1

f(x) = x² − 8x + 15

Equation 2

g(x) = x − 3

To find equation 3 that is h(x) we need to divide f(x) by g(x)

f(x) / g(x)

x² − 8x + 15 /  x − 3

By using quadratic factorisation  

(x-3)(x-5) / (x-3)

Cancel (x-3) from both numerator and denominator

h(x) = x-5

The domain of h(x)

set of all integers except 3

-∞ ≤ x ≤ ∞ and x≠3

Answer:

first blank is x-5

second blank is -infinity, 3

third blank is 3, infinity

What is 14 5/6 + 18 2/9 ? Express your answer in lowest terms.


plz answer quickly will give brainliest

Answers

Answer:

it is 32 and 7 over 15

Step-by-step explanation:

because when u add 14 and 18 u get 32 and then you add your numerator and your denimator so u will see that it is 32 and 7 over 15

The sum of 14 5/6 and 18 2/9 is 33 1/18, after adding the whole numbers and fractions separately and simplifying.

To find the sum of 14 5/6 and 18 2/9, we must first add the whole numbers and then the fractions separately. The whole numbers add up to 14 + 18, which is 32. To add the fractions 5/6 and 2/9, we need a common denominator, which is 54. Now converting the fractions we get (45/54) + (12/54). Adding these gives us 57/54, which is equal to 1 3/54 or reduced to its lowest terms, 1 1/18. Adding this to the sum of the whole numbers we get 32 + 1 1/18, which equals 33 1/18.

Does anybody get this or am I the only one confused?

Answers

Answer:

Step-by-step explanation:

nah man. i dont get it either

I think all you gotta do is type the word two-way table, just like it says inside the box. But after looking at this for a while I think that the only thing you can do is that.

So I guess just type what it says inside the box

PLZ HURRY IT'S URGENT!!!!!
What ratio is equivalent to 14/21?
A. 2/3 B. 1/7 C. 3/4 D. 2/7

Answers

Answer:

A. 2/3

Step-by-step explanation:

What you do is you reduce the fraction 14/21 to get 2/3 as your answer.

Answer:

A:2/3

Step-by-step explanation:

Since 14/21 simplifies to 2/3,14/27=2/3For anymore help= @ntarv1234 on brainly

What is the value of x? Enter your answer as a decimal to the nearest tenth in the box. ft Right triangle A B C with right angle at angle B. Angle A is 36 degrees. A B is 15 feet. B C is labeled x.

Answers

Answer:

x = 10.9

Step-by-step explanation:

Since the triangle is right, use the tangent ratio to find the value of x

tan36° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{x}{15}[/tex]

Multiply both sides by 15

15 × tan36° = x

⇒ x = 10.9 ( to nearest tenth )

Answer:

What is the value of x?

Enter your answer as a decimal to the nearest tenth in the box.

10.9 ft

may I get some help? ​

Answers

12. Answer:  $9.50

Step-by-step explanation:

4 tickets plus 1 popcorn equals 44.25

    4t         +       1(6.25)       =       44.25

4t + 6.25 = 44.25

   -  6.25   -6.25     Subtraction Property of Equality

4t            = 38.00

÷4             ÷4           Division Property of Equality

t             = 9.50  

13. Answer:

Step-by-step explanation:

4.9x - 1.9 = 27.5

       +1.9    +1.9        Addition Property of Equality

4.9x         = 29.4

÷4.9           ÷4.9        Division Property of Equality

     x          =   6

GgAnswer:

Step-by-step explanation:

gg

What is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠TRQ is an external angle and ∠RTS, ∠RST are interior angles, hence

45x = 25x + 57 + x

45x = 26x + 57 ( subtract 26x from both sides )

19x = 57 ( divide both sides by 19 )

x = 3

Answer:

x = 3

Step-by-step explanation:

We are given expression for measure of angles of two corners of a triangle, while for the third corner, we know the exterior angle.

We know that the sum of all three angles of a triangle is 180°.

So we can write it as:

[tex] 2 5 x + ( 5 7 + x ) + ( 1 8 0 - 4 5 x ) = 180 [/tex]

[tex]25x+x-45x=180-180-57[/tex]

[tex]-19x=-57[/tex]

[tex]x=\frac{-57}{-19}[/tex]

x = 3

Find the Volume 14cm 8cm 10 cm 10cm 10cm 8 cm

Answers

1120cm^3+800cm^3

ans

=1920cm^3

Answer:

Volume of the cuboid = 1120cm³

Step-by-step explanation:

The question is incomplete and incorrect. Here is the complete and correct question.

"Find the volume of cuboid measuring 14cm, 10 cm and 8cm"

The volume of a cuboid = Length × breadth × Height.

Given Length = 14cm

Breadth = 10cm

Height = 8cm

Volume of the cuboid = 14cm × 10cm × 8cm

Volume of the cuboid = 1120cm³

F(x)= x+5
———
X3+27
Find the horizontal asymptote....

Answers

Answer: [tex]y=0[/tex]

Step-by-step explanation:

The given function is a rational function:

To solve the given problem you must keep on mind that:

-  An asymptote is define as a line that the graph of the function approaches but never touches.

- In rational functions, if the degree of the polynomial in the numerator is lower than the degree of the polynomial in the denominator, then  the horizontal asymptote is located at y=0.

In the given function, the degree of the polynomial in the numerator (which is 1) is lower than the degree of the polynomial in the denominator (whic h is 2). Therefore, the horizontal asymptote is located at [tex]y=0[/tex]

car rentals invert a 130 flat fee in additional cost of 31.67 a day what is the maximum number of days you can rent a car if you have a $500 budget

Answers

Answer:

11 days

Step-by-step explanation:

Mrs. Quan wants to make a quilt that is 12 squares long and 9 squares wide. How many squares will be in her quilt?


A.
21 squares


B.
42 squares


C.
108 squares


D.
144 squares

Answers

Answer:C

Step-by-step explanation:9 times 12 equals 108

If point F is translated 2 units to the left and 2 units down, what are the coordinates of F'?

Answers

Answer:

(-4,-5)

Step-by-step explanation:

Just use the graph and follow the translation.

Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
A) −1
B) −2
C) −3
D) −4

Answers

ANSWER

A) -1

EXPLANATION

The average rate of change of the given quadratic function on the interval 0 ≤ x ≤4 is the slope of the secant line connecting the points (0,f(0)) and (4,f(4)).

That is the average rate of change is:

[tex] = \frac{f(4) - f(0)}{4 - 0} [/tex]

From the graph, f(0) is 0 and f(4) is -4.

We plug in these values to obtain;

[tex] = \frac{ - 4 - 0}{4 - 0} [/tex]

This simplifies to;

[tex] = \frac{ - 4}{4} [/tex]

[tex] = - 1[/tex]

Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1

Answer:

-1

Step-by-step explanation:

i just got it wrong

A polygon has the following coordinates: A(-5,5), B(2,5), C(-5,-2). Find the length of AB.
A.
5 units
B.
7 units
C.
6 units
D.
4 units

Answers

Answer:

7

Step-by-step explanation:

Since these two points are straight left and right from each other it's really easy.  Think of it as just moving so many spaces left or right on the x axis.  We are moving from point (-5,5) along the line y=5 to the point (2,5), which is moving 7 units.

select each type of line of symmetry that the following figure has, if any.
• vertical
•horizontal
•diagonal
•none

Answers

Answer: Vertical symmetry

Step-by-step explanation: A vertical line divides the image into two halves. But it cannot be divided horizontally or diagonally so it is vertical symmetry.

In the diagram below O id circumscribed about quadrilateral ABCD. What is the value of x?

Answers

Answer:

x = 21

Explanation:

x = [tex]\frac{105}{5}[/tex] = 21 degree will be the answer.

{The sum of angle of opposite circumscribed quadrilateral in circle is 180°}

Answer:

In a cyclic Quadrilateral , sum of opposite pair of interior angles are Supplementary.

So, ∠A + ∠C=180°

And, ∠B + ∠D=180°

We have to find the value of x.

So, we will use the equation

∠B + ∠D=180°

→5 x +75° =180°

5 x= 180° - 75°

5 x= 105°

Dividing both side by , 5 we get

x=21°

Option C

There are 8 friends who are going to have a water fight with two bags of 150 water balloons. Which of the following best describes how many water balloons each person will get if they divide the water balloons as evenly as possible?

Answers

Final answer:

Each friend will get 37 water balloons, with 4 remaining.

Explanation:

To divide the 300 water balloons evenly among the 8 friends, we can use division. We divide 300 by 8 to find out how many water balloons each person will get. The quotient is 37 with a remainder of 4. So, each friend will get 37 water balloons, and there will be 4 remaining balloons.

Learn more about Division here:

https://brainly.com/question/2273245

#SPJ12

What is the circumference of a circle is 22 pi yards. Find the radius of the circle in terms of pi


What is the answer

Answers

Answer:

r=C

Step-by-step explanation:

Which of the following measurements could be the side lengths of a right triangle? A. 54 in, 72 in, 108 in B. 54 in, 81 in, 90 in C. 45 in, 72 in, 90 in D. 54 in, 72 in, 90 in

Answers

Final answer:

To determine if a set of measurements could be the side lengths of a right triangle, we need to check if the Pythagorean theorem holds true. Option D, with side lengths 54 in, 72 in, and 90 in, satisfies the theorem and represents a right triangle.

Explanation:

In a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. This is known as the Pythagorean theorem: a^2 + b^2 = c^2.

So, to determine if a set of measurements could be the side lengths of a right triangle, we need to check if the Pythagorean theorem holds true. Let's check each option:

Option A: (54)^2 + (72)^2 = 2916 + 5184 = 8100. However, the measurement for the third side (108) does not satisfy the theorem, so this is not a right triangle.Option B: (54)^2 + (81)^2 = 2916 + 6561 = 9477. This also does not satisfy the theorem, so this is not a right triangle.Option C: (45)^2 + (72)^2 = 2025 + 5184 = 7209. Again, this does not satisfy the theorem, so this is not a right triangle.Option D: (54)^2 + (72)^2 = 2916 + 5184 = 8100. This time, the measurement for the third side satisfies the theorem (90), so this is a right triangle.

Therefore, the correct answer is option D: 54 in, 72 in, 90 in.

Learn more about Pythagorean theorem here:

https://brainly.com/question/28361847

#SPJ2

What is the degree measure? Please help me with number three show work please!

Answers

Check the picture below.

notice, both inscribed angles are intercepting the same arcQS.

the weight of an object on the moon.m.is about 1/6 of the object weight on earth on,e, which equation reprenstt the approximate weight of an object on the moon in terms of the object weight on earth

Answers

e = weight on Earth
m = weight on moon

m = 1/6e



Please consider marking this answer as Brainliest to help me advance.

which point lies on a circle with a radius of 5 units and center at P(6,1)?
a. Q(1, 11)
b. R(2, 4)
c. S(4, -4)
d. T(9, -2)

Answers

Answer:

Option B. [tex]R(2,4)[/tex]

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

[tex](x-6)^{2}+(y-1)^{2}=5^{2}[/tex]

[tex](x-6)^{2}+(y-1)^{2}=25[/tex]

step 2

Verify each case

case A) [tex]Q(1, 11)[/tex]

substitute the value of [tex]x=1, y=11[/tex] in the equation of the circle and then compare the results

[tex](1-6)^{2}+(11-1)^{2}=25[/tex]

[tex]25+100=25[/tex] ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) [tex]R(2,4)[/tex]

substitute the value of [tex]x=2, y=4[/tex] in the equation of the circle and then compare the results

[tex](2-6)^{2}+(4-1)^{2}=25[/tex]

[tex]16+9=25[/tex] ------> is true

therefore

the ordered pair R lie on the circle

case C) [tex]S(4,-4)[/tex]

substitute the value of [tex]x=4, y=-4[/tex] in the equation of the circle and then compare the results

[tex](4-6)^{2}+(-4-1)^{2}=25[/tex]

[tex]4+25=25[/tex] ------> is not true

therefore

the ordered pair S not lie on the circle

case D) [tex]T(9,-2)[/tex]

substitute the value of [tex]x=4, y=-4[/tex] in the equation of the circle and then compare the results

[tex](9-6)^{2}+(-2-1)^{2}=25[/tex]

[tex]9+9=25[/tex] ------> is not true

therefore

the ordered pair T not lie on the circle

Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. She has 5 times as many white shirts as gray shirts, minus the 1 white shirt she donated. Joanie has 2 times more gray shirts than brown shirts. If she has the same number of black and white shirts, how many gray shirts does Joanie have?
A. 2
B. 1
C. 4

Answers

Answer:

Option A. 2

Step-by-step explanation:

To solve this problem we can write equations for each shirt color.

Let's call:

b = black shirts

g = gray shirts

w = white shirts

B = brown shirts

If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:

[tex]b = 3g +3[/tex]     (i)

If you have 5 times more white shirts than gray shirts and gave a white shirt then:

[tex]w = 5g -1[/tex]      (ii)

It has 2 times more gray shirts than brown camsas, then:

[tex]g = 2B[/tex]         (iii)

It has the same amount of black and white shirts

[tex]b = w[/tex]            (iv)

We want to find the number of gray shirts.

Then replace (iv) in (ii)

[tex]b = 5g -1[/tex]        (v)

Now substitute (v) into (i) and clear g.

[tex]5g -1 = 3g +3\\\\5g -3g = 3 +1\\\\2g = 4\\\\g = 2[/tex]

Joan has 2 gray shirts

Joanie has 2 gray shirts, option A.

To determine the number of gray shirts Joanie has, we'll set up and solve a system of equations. Let G represent the number of gray shirts and let B, W, and R represent the number of black, white, and brown shirts, respectively.

Given the information:

Joanie has 3 times as many black shirts as gray shirts plus 3 new black shirts: B = 3G + 3.She has 5 times as many white shirts as gray shirts minus 1 white shirt: W = 5G - 1.Joanie has 2 times more gray shirts than brown shirts: G = 2R.She has the same number of black shirts as white shirts: B = W.

1. Set the equations for black and white shirts equal:

3G + 3 = 5G - 1

2. Simplify and solve for G:

3 + 1 = 5G - 3G

4 = 2G

G = 2

Thus, Joanie has 2 gray shirts.

1.The temperature was 80∘F and then fell 20∘F. 2.The temperature was -13∘F and then rose 9∘F. 3.The temperature was -5∘F and then fell 8∘F.

Answers

If your looking for the ending temperatures on each one here they are in Celsius and Fahrenheit!

1. 60°F or 15.6°C

2. -4°F or -20°C

3. -13°F or -26°C

Answer:

The initial temperature is 80 °F.

The final termperature is 20°F.

During this period, fell 60 °F which represents a percentage of

[tex]\frac{60}{80} \times 100= 75\%[/tex]

We repeat the process for the rest.

From -13 °F to 9 °F, the temperature arose 22 °F, which is equivalent to

[tex]\frac{22}{13} \times 100= 169.23 \%[/tex]

From -5 °F to 8 °F, the temperature fell 13 °F, which is equivalent to

[tex]\frac{13}{5} \times 100= 260 \%[/tex]

Ian graphs these equations and find that the lines intersect at a single point, (-2,-0.5).

Answers

Answer:

A. They are the only values that make both equations true.

Step-by-step explanation:

Equation A: 4y-3x=4

Equarion B: -2x-8y=8

Put x=-2, y=-0.5 in those two equations.

Equation A: 4(-0.5)-3(-2)=4

                     -2+6=4

                         4=4

Equation B: -2(-2)-8(-0.5)=8

                      4+4=8

                          8=8

So it's not B and C.

For D, you can tell that they are didferent lines by put them in to F(x)=kx+b format, and it tell you it's not D.

Answer:A

Step-by-step explanation:A P E X

What is the value of x?

Answers

Answer:  [tex]x=2[/tex]

Step-by-step explanation:

To solve this exercise you must apply the Intersecting secan theorem.

Then, according to this theorem, you can know that:

[tex]EC*ED=EB*EA[/tex]

Therefore, you must substitute the values shown in the figure attached, as following:

[tex](x+4)(x+4+1)=(x+1)(x+1+11)[/tex]

Now you can solve for x, as you can see below:

[tex](x+4)(x+4+1)=(x+1)(x+1+11)\\\\(x+4)(x+5)=(x+1)(x+12)\\\\\\x^2+5x+4x+20=x^2+12x+x+12\\\\x^2+9x+20=x^2+13x+12\\x^2-x^2+9x-13x=12-20\\-4x=-8\\x=2[/tex]

I don’t know how to go about answering this, please help.

Answers

Answer:

the first square that equals 625 goes to the 125 box

the second square that equals 81 goes to the 243 box

the third square that equals 32 goes to the 8 box

and the fourth square that equals 64 goes to the 256 box

Hope this helped :)

Step-by-step explanation:

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