One Positive number is five times another number the difference between the two numbers is 172 to find the numbers

Answer:

80+40+44-20÷24+32 ♡♡♡

Using set operations,

1.The number of students who study all the three subjects = 10

2.The number of students who study only mathematics and chemistry = 8

Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.

Let mathematics = M, physics = P, chemistry = C.

n(M∪P∪C) = 80

n(M) = 48

n(P) = 40

n(C) = 44

n(M∩P) = 20

n(M∩C) = ?

n(C∩P) = 24

n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32

20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32

n(M∩C) = 3n(C∩P∩M) - 12 - *

We know,

n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)

80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)

n(M∩C) = n(C∩P∩M) + 8 - **

Equating * and **,

n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12

2n(C∩P∩M) = 20

n(C∩P∩M) = 10

putting the value of n(C∩P∩M) in *

n(M∩C) = 18

n(M∩C) - n(C∩P∩M) = 8

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Answer:

cos h° = x/z

Step-by-step explanation:

SOH CAH TOA

Answer:

t = 8°

Step-by-step explanation:

We know that the sum of all the angles in a triangle is equal to 180°

Let's set up our equation => 18t + 36 = 180

Subtract 36 from both sides

18t = 144

t = 8

Thus, we have our answer

Answer:

7

Step-by-step explanation:

it is just 35÷5=7 and if she runs every 5 minutes she runs 7 laps.

Answer:

-3÷2

Step-by-step explanation:

if you have solving for x

1st step: will be to set up the function =0

so 2x+3=0

then 2x=-3

so x= -3/2

Answer:

x= -1/3 and -2

I have made it in above picture

Answer:

10, 12

Step-by-step explanation:

Answer:

10/90,12/90

Step-by-step explanation:

least common denominator is 90

Answer:

Step-by-step explanation:

you have a right triangle with the hypotenuse of 41 and another side of 40

a=[tex]\sqrt{41^2-40^2}[/tex]=[tex]\sqrt{1681-1600}[/tex]=[tex]\sqrt{81}[/tex]

a=9

Answer:

−5+11i

Step-by-step explanation:

(3+6i)−(8−5i)

Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.

3−8+(6−(−5))i

Subtract 8 from 3. Subtract −5 from 6.

−5+11i

Step-by-step explanation:

I hope this helps. The answer is D.

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

Answer:

1.25x+0.95y=22.60

x is apples y is oranges

Step-by-step explanation:

20 - 12 = 8

1.25(12) + 0.95(8) = 22.60

1.25 · 12 = $15

0.95 · 8 = $7.60

15.00 + 7.60 = $22.60

i hope that makes sense

4y + 3 > 23          subtract 3 from both sides

4y > 20                divide both sides by 4

y > 5

-2y > -2                divide both sides by -2 (the order changes)

y < 1

(-oo, 1) ∪ (5, oo)

Upvote

SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME

Answer:

we have

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-1)/(x--2)=(-1-1)/(1--2)

(y-1)/(x+2)=(-2)/3

3(y-1)=(-2(x+2))

3y-3=-2x-4

2x+3y-3+4=0

2x+3y+1=0 is a required equation

Answer:

z=4

Step-by-step explanation:

7z+4=34

7x=32-4

7z=28

7z/7=28/7

z=4

Answer:

i think you cn use frction

25°

Angles in a circle add up to 360°

5a + (a + 60) + (2a + 100) = 360

5a + 3a + 160 = 360

5a + 3a = 8a

8a + 160 = 360

Make a the subject

8a + 160 = 360

8a = 200

200 ÷ 8 = 25°

Have a great day <3

Answer:

divide 9,255 divide 1/3 and you will get your answer hope this helps :)))

Step-by-step explanation:

In the town of Summit, 3,085 people have jobs. If there are 9,255 people in the town and 1/3 of them are employed.

To find the number of people in the town of Summit who have jobs, we can multiply the total population by the fraction representing the employed individuals.

Total population = 9,255 people

Fraction employed = 1/3

Number of people employed = Total population * Fraction employed

Number of people employed = 9,255 * (1/3)

To simplify the fraction (1/3), we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.

Dividing 1 and 3 by 1, we get:

1/1 = 1

3/1 = 3

So, the simplified fraction is 1/3.

Continuing the calculation:

Number of people employed = 9,255 * (1/3)

Number of people employed = 9,255 / 3

Number of people employed = 3,085

Therefore, in the town of Summit, 3,085 people have jobs.

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Answer:

Step-by-step explanation:

x²/a² - y²/b² = 1

center (0,0)

vertex (3,0), so a = 3

focus (9,0)

e = 9/a = 3

directrices: x = ±a/e = ±1

The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x =  ±1.

The general equation of the hyperbola is in the form of

x²/a² - y²/b² = 1

We have been given center (0,0)

vertex (3,0),

so a = 3

focus (9,0)

So, e = 9/a = 3

The equation of directrices:

x = ±a/e = ±1

Hence, The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x =  ±1.

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Answer:

3.934 = 3.634; hope this helps........

Step-by-step explanation:

Solve:

Multiply the numbers

5.62 ⋅ 0.7 = 2.68 ⋅ 1.35

3.934 = 2.68 ⋅ 1.35

Multiply the numbers

3.934 = 2.68 ⋅ 1.35

3.934 = 3.618

Result

3.934 = 3.618

The input is a contradiction: it has no solutions

Answer:

Step-by-step explanation:

7 x 5 is 35. 7 x 2 is 14. 14 + 35 is 49

Answer:

Working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.

Step-by-step explanation:

Given that Ted can change an advertisement on a billboard in 5 hours, while Marie can do the same job in 2 hours, to determine how long it would take them if they worked together the following calculation must be performed:

Ted 1/5 in 1 hour

Marie 1/2 in 1 hour

1/5 + 1/2 = X

5X + 2X = 10

7X = 10

X = 10/7

X = 1 3/7

60/7 x 3 = 25.71

60 x 0.71 = 42.6

So, working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.

Answer:

y = 2x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 8)

m = [tex]\frac{8-2}{4-1}[/tex] = [tex]\frac{6}{3}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2 )

2 = 2 + c ⇒ c = 2 - 2 = 0

y = 2x ← equation of line

Answer:

2x-y=0 / y=2x

Step-by-step explanation:

6x-3y=0, 2x-y=0

Answer:

5,000? what does it want me to find

Step-by-step explanation:

Answer:

The percentage error is 8%

Step-by-step explanation:

Given

[tex]r = 10cm[/tex]

[tex]\triangle r =0.1cm[/tex]

Required

% error in the surface area

The surface area of a sphere is:

[tex]S = \4\pi r^2[/tex]

Differentiate

[tex]dS \approx 8\pi r\ dr[/tex]

Rewrite as:

[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error

The percentage error is then calculated as:

[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]

[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]

[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]

[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]

[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]

[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]

[tex]\% Error = 0.08 * 100\%[/tex]

[tex]\% Error = 8\%[/tex]