Mark is three times as old as Julie. The sum of their ages is 56. How old is Mark? If J = Julie's age and M = Mark's age, which system of equations could be used to solve the problem? 3J = M and J + M = 56 J = 3M and J + M = 56 J = 3M and JM = 56

Answer:

Angles 2 and 3 are supplementary to each other

Step-by-step explanation:

A supplementary angle is 2 angles that when you add the sum is 180.

Answer:

E

Step-by-step explanation:

630/2+3+4=630/9=70

Multiply each value in the ratio by 70.

Jane: 70*4=280

Answer:

3x^2+6x

Step-by-step explanation:

3x(x+2)

First distribute the 3x

You end up with

(3x^2+6x)

and that is the answer.

Answer: The second period class has the greater first quartile.

The second-period class has the greater first quartile. Then the correct option is A.

Like the other twin graph styles discussed in earlier sections, double package plots provide for a fast detailed evaluation of two sets of data.

The double box plot shows the test scores for Miss Robinson's second and fourth-period classes.

Based on the double box plot. Then the true sentence will be

The second-period class has the greater first quartile. Test Scores

Then the correct option is A.

More about the double box link is given below.

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Answer:

2/10

Step-by-step explanation:

-5+7=2, since the denominator stays the same.

2/10, simplified is 1/5

Answer:

2/10 or 1/5

Step-by-step explanation:

Because -5/10 and 7/10 both have 10 as the denominator we don't have to do anything about that, so you just add and simplify.

If you need me to go through it in depth let me know, but I hope that helps!

Have a great day!

Answer:

   -1    

Step-by-step explanation:

Given that:

r = sin 2θ  , θ = ± π/4 , ± 3π/4

Recall that:

x = r cosθ

y = r sinθ

The  differential of y with respect to x

[tex]\dfrac{dy}{dx} = \dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}}[/tex]

[tex]\dfrac{dy}{dx} =\dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}} = \dfrac{ r cos \theta + sin \theta* \dfrac{dr}{d \theta} } {\dfrac{dr}{d \theta} *cos \theta- sin \theta \ r}[/tex]

at  θ = π/4  , r = sin π/2

r = 1

[tex]\dfrac{dy}{dx} = \dfrac{ r cos \theta + 2 cos (2 \theta)*sin \ \theta } {2 \ cos (2 \theta) *cos \theta- sin 2 \theta * sin \theta}[/tex]

where;

θ = π/4

[tex]\dfrac{dy}{dx} = \dfrac{ 1 \times cos (\dfrac{\pi}{4}) + 2 cos (\dfrac{\pi}{2})*sin (\dfrac{\pi}{4}) } {2 \ cos (\dfrac{\pi}{2})*cos (\dfrac{\pi}{4})- sin (\dfrac{\pi}{2}) * sin (\dfrac{\pi}{4})}[/tex]

[tex]\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}}+0 }{0-1 * \dfrac{1}{\sqrt{2}}}[/tex]

[tex]\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}} }{- \dfrac{1}{\sqrt{2}}}[/tex]

[tex]\mathbf{\dfrac{dy}{dx} =-1}[/tex]

slope of the curve (dy/dx) at theta(θ)  = pi/4 is -1

Answer:

The slope is undefined.

The graph will be a vertical line.

Step-by-step explanation:

just did it

The graph will be a vertical line. Option C is correct.

Given that,
The slope of the line is zero we have to determine what are the conditions.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The slope of the line is zero,
m = 0
tanФ = 0
y / x = 0
for the above condition, Δy must be zero or Δx must be infinite and the line will be a verticle.

Thus, the graph will be a vertical line. Option C is correct.

Learn more about slopes here:
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Answer:

-32/3

Step-by-step explanation:

-10 2/3 , -10.6

Answer:

-32 I just looked it up on photomath

Answer:

20,038

Step-by-step explanation:

20,320 - 282

Answer:

y = 3/4x -3

Step-by-step explanation:

[tex]3x-4y=12\\[/tex]

Move 3x to the right and change its sign

[tex]-4y = -3x+12[/tex]

Divide both sides of the equation by -4

[tex]\frac{-4y}{-4} =\frac{-3x}{-4} + \frac{12}{-4} \\\\y = \frac{3}{4} x -3[/tex]

The answer is it BELONGS TO THE RATIONAL SET

The number 3/4 is belong in Rational number.

Here,

The number is 3/4.

We have to find the number sets of 3/4 belong to.

What is Rational number?

A number that can be represented as the quotient p/q of two integers such that q ≠ 0.

Now,

The number is 3/4.

Clearly, the number is in the form of fraction p/q such that q ≠ 0.  

Hence, The number 3/4 is belong in Rational number.

Learn more about the rational number visit:

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Answer:

5

Step-by-step explanation:

Step 1:

3x + 4 = 19

Step 2:

3x = 19 - 4

Step 3:

3x = 15

Answer:

x = 5

Hope This Helps :)

Answer:

5 gallons of gasoline

Step-by-step explanation:

since we have the number of miles the car drives per gallon (38) we can set up an equation

the equation would be the number of miles per gallon (38) times the number of gallons it would take to drive 190 miles (x) equals 190 miles

38x = 190

you then divide 190 by 38

x = 5 gallons

Five gallons of gasoline must be taken to travel 190 miles.

The unitary method is a problem-solving methodology that involves first finding the value of a single unit and then finding the necessary value by multiplying the single unit value.

On one-gallon gasoline, the car can travel 38 miles.

Let x gallons of gasoline be taken to travel 190 miles.

So, 38x=190

⇒x=190/38=5

Hence, 5 gallons of gasoline is taken to travel 190 miles.

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Answer:

This question does not make sense for very specific reasons

Step-by-step explanation:

1. 5,000 does not look like 5thousand

2. 10 times as many as 5 tens is not really a question at all

3. the question itself already contains the answer 5,000

Answer:

-4, 2, 14, 34, and 42

Step-by-step explanation:

These are all even because they are multiples of 2. Also, for it to be even, the ones place MUST be one of the following: 0, 2, 4, 6, 8

Answer:

-4,2,14,34,42

Step-by-step explanation:

Even numbers are divisible by 2

-4/2 =-2

2/2 =1

14/2 = 7

34/2 = 17

42/2 = 21

Answer:

9

Step-by-step explanation:

2ny + x

Start with n and y

n= 3/4

y = 6

2*n*y = 2* 3/4 * 6          2 * 6 = 12

12 * 3/4 = 36 / 4 = 9

There are many ways to do this. I have chosen one that does not require cancellation.

Answer:

radius = 1.37 cm

height = 2.71 cm

Step-by-step explanation:

We are given volume = 16 m³.

Formula for volume of a cylinder is;

V = πr²h

Thus,

πr²h = 16

h = 16/πr²

Now formula for the surface area is;

S = 2πr² + 2πrh

Putting 16/πr² for h gives;

S = 2πr² + 2πr(16/πr²)

S = 2πr² + 2π(16/πr)

S = 2π(r² + 16/πr)

To minimize, we will find the derivative of S and equate to zero

S' = 2π(2r - 16/πr²) = 0

4πr - 32/r² = 0

4πr = 32/r²

r³ = 32/4π

r = ∛(32/4π)

r = 1.37 cm

From h = 16/πr²;

h = 16/(π × 1.37²)

h = 2.71 cm

Answer:

0.2

Step-by-step explanation:

Step 1:

20 divided by 100 = 0.2

Answer:

0.2

If you want to get a decimal from a percent you need to divide the percent by 100.

Hope This Helps :)

Remember all decimal are basicaly,

x% = (x)/(100)

so

20%=(20)/(100)=0.20

Answer:

31/55

Step-by-step explanation:

The LCD is 55.

1/55 + 6/11 =

= 1/55 + 30/55

= 31/55

31 is prime, so the fraction cannot be reduced.

Answer: 31/55

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{domain = { (- 2 \: , \: 1 \: , \: 3)}}}}}[/tex]

[tex] \boxed{ \bold{ \boxed{ \sf{range = ( \: - 2 \: , \: 0 \: , \: 4)}}}}[/tex]

Step-by-step explanation:

Domain is the set of all x values.

Range is the set of all y - values.

{ ( - 2 , 0 ) , ( 1 , -2 ) , ( 3 , 4 )}

Domain = { -2 , 1 , 3 }

{ ( -2 , 0 ) , ( 1 , -2 ) , ( 3 , 4 )}

Range = { - 2 , 0 , 4 }

Hope I helped!

Best regards! :D

Answer:

$4,000

Step-by-step explanation:

to find the market price you:

1000x100=100000

100000/25=4000

Answer:

4,000

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Total shirts: 4

White shirts: 1

p(white shirt) = 1/4

Total ties: 3

Striped ties: 1

p(striped tie) = 1/3

The overall probability is the product of the individual probabilities.

p(white shirt & striped tie) = p(white shirt) * p(striped tie) = 1/4 * 1/3 = 1/12

Answer:

The answer is 1/2

Step-by-step explanation:

4 shirts that mean 1/4

and 3 ties that mean 1/3

If we choose one it will be 1/2

sry if you don't get it

Answer:

1 standard deviation

Step-by-step explanation:

Given that :

IQs as measured by the Wechsler Adult Intelligence Scale are approximately Normal with:

Mean = 100

Standard deviation = 15

About 84% of people will have IQs below 115 because:

84% = 0.84

From z - table, 0.84 corresponds to a z- score of about 0.995

0.995 = 1. 00

The z-score gives the number of standard deviations by which a raw score is above or below the average or mean value.

Raw score = 115

Mean = 100

Standard deviation (sd) = 15

Mean + number of sd's

100 + 1(sd)

100 + 1(15) = 100 + 15 = 115

Answer:

  D.)  because it cannot be expressed as a ratio of integers

Step-by-step explanation:

The root of any integer that is not a perfect square is irrational. 5 is not a perfect square, so is irrational—it cannot be expressed as the ratio of integers.

__

Proof

Suppose √5 = p/q, where p and q are mutually prime. Then p² = 5q².

If p is even, then q² must be even. We know that √2 is irrational, so the only way for q² to be even is for q to be even—contradicting our requirement on p and q.

If p is odd, then both p² and q² will be odd. We can say p = 2n+1, and q = 2m+1, so we have ...

  p² = 5q²

  (2n+1)² = 5(2m+1)²

  4n² +4n +1 = 20m² +20m +5

  4n² +4n = 4(4m² +4m +1)

  n(n+1) = (2m+1)²

The expression on the left will be even for any integer n; the expression on the right will be odd for any integer m. This equation cannot be satisfied for any integers m and n, so contradicting our assumption √5 = p/q.

We have shown using "proof by contradiction" that √5 cannot be the ratio of integers.

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the perpendicular line we must first find the slope of the original line

We must first write the equation in the general form above in order to find the slope

3x + 2y = - 7

2y = - 3x - 7

Divide both sides by 2

y = - 3/2x - 7/2

Comparing with the general equation above

Slope = - 3/2

Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line

Slope of perpendicular line = 2/3

So the equation of the line using point (-8,7) and slope 2/3 is

[tex]y - 7 = \frac{2}{3} (x + 8) \\ y - 7 = \frac{2}{3} x + \frac{16}{3} \\ y = \frac{2}{3} x + \frac{16}{3} + 7[/tex]

We have the final answer as

[tex]y = \frac{2}{3} x + \frac{37}{3} [/tex]

Hope this helps you

Answer: 6 hours

Step-by-step explanation:

You have to divide 360 by 60 minutes.

Answer:

There are 360 minutes in 6 hours.

Hope this helps :)

Answer:

Step-by-step explanation:

[-6 + -3      -2 + 2    2 + 1} =   [-9   0   3}

Oops someone else answered it before me

answer: 200dvi

I hope this helped, not entirley sure if I did it correctly.

Hey there!

(7 * 10^5) ÷ (2 * 10^2)

10^5

= 10 * 10 * 10 * 10 * 10

= 100 * 100 * 10

= 10,000 * 10

= 100,000

10^2

= 10 * 10

= 100

= (7 * 100,000) ÷ (2 * 100)

7 * 100,000

= 700,000

2 * 100

= 200

700,000 ÷ 200

= 3,500

Therefore, your answer is: 3,500

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)