Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds.

(n - 30) + n = 210
(n + 30) + n = 180
(n + 30) + n = 210
(n - 30) + n = 180

Answer:

0

Step-by-step explanation:

all the question is asking is

if x is 2 then what is y

the line on the left is downward facing line which ends at

(2,0) <- where is x is 2 and y is 0

the upward facing line on the right does start at (2,3)

but the dot there is a

hollow dot

hollow dot represents excluded value

The steps needed is :Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Dilation is a transformation, which is used to resize the object.

As the radius of big circle is 6 then the dilation should be scale factor 3.

As well as they should share the same center.

The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,

Learn more about this concept here:

https://brainly.com/question/17024106

#SPJ1

Answer: [tex]230^{\circ[/tex]

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex] are tangents to the circle.

Therefore, we know [tex]\triangle ABO \cong \triangle CBO[/tex] by HL.

Thus, by CPCTC,

[tex]\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}[/tex]

This means the measure of minor arc AC is [tex]130^{\circ}[/tex], and thus [tex]b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}[/tex]

Answer:

So let start with 1/4 simplest form of that would be 9/4 and for 11/24 simplest would be just that so now we got 11/24 - 9/4 = 1/72

Step-by-step explanation:

11/24

4/9

now we do 11 x 9 equals 99 so now 4 x 24 = 96

now we take the two new denominators2 24 and 9

and we do 24 x 9 = 216 so now we got

99/216

96/216

now 99 - 96 is 3 so we got a new fraction

3/216 now we just simplify that  so we get 1/72

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

Total number of students and teachers who rode to the zoo in buses will be

Total number of students and teachers who rode to the zoo in vans will be

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Answer: -2

Step-by-step explanation:

convert it to a equation:

7x+8=5x+4

move x's to a side and numbers to the other

2x=-4

divide by 2

x=-2

Let us consider the number to be 'n'.

Given condition :

Subtract '5n' from each side :

Subtract '8' from each side :

Divide '2' from each side :

∴ The number is -2.

The factored form of the given expression is (x+2)(x-3)

Quadratic equation are equation that has a leading degree of 2. Given the equation below

6=x^2-x

Equate to zero

x^2-x - 6 = 0

Factorize

x^2 - 3x + 2x - 6 = 0

x(x-3)+2(x-3) = 0

x = 3 and -2

Hence the factored form of the given expression is (x+2)(x-3)

Learn more on factoring here: https://brainly.com/question/24734894

#SPJ1

Answer:

$6,722.63

Step-by-step explanation:

Now: $10,200

In 1 year: 0.92 × $10,200 = $9,384

In 2 years: 0.92 × $9,384 = $8,633.28

In 3 years: 0.92 × $8,633.28 = $7,942.6176

In 4 years: 0.92 × $7,942.6176 = $7,307.208192

In 5 years: 0.92 × $7,307.208192 = $6,722.63

Answer: $6,722.63

Answer:

$6,722.63

Step-by-step explanation:

Using this formula A=P(1-d/100)^n where

A = Amount

P = Principal

d = percent

n = number of year

A=P(1-d/100)^n

A = 10,200(1-8/100)⁵

A = 10,200(1-0.08)⁵

A = 10,200(0.92)⁵

A = 10,200(0.6591)

A= $6,722.63

Answer:

3-8x 34= -5x 34 = -170

Step-by-step explanation:

The relation that represents a one-to-one function is

A. x with entries 5, 14, 7, 13, 12.

  f(x) with entries 26, 197, 50, 170, 197.

Option A is the correct answer.

We have,

A one-to-one function is a function that has one output for one input.

Now,

A.

x with entries 5, 14, 7, 13, 12.

f x) with entries 26, 197, 50, 170, 197.

This is a one-to-one function.

B.

x with entries -2, -1, 0, 1, 2.

f(x) with entries 5, 2, 1, 2, 5.

This is not a one-to-one function.

The x values -1 and 1 have the same f(x) value 2.

C.

x with entries 7.25, 7.5, 7.75, 8, 8.5.

f(x) with entries 11, 13, 15, 13, 11.

This is not a one-to-one function.

The x values 7.25 and 8.5 have the same f(x) value 11.

Thus,

The relation that represents a one-to-one function is

A. x with entries 5, 14, 7, 13, 12.

   f(x) with entries 26, 197, 50, 170, 197.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer:

2%

Step-by-step explanation:

You can write it out as equation first.

430*x%=8.60, leave x% alone, so the equation will change into

x%=8.60/430

8.60/430=0.02=2%

therefore, x%=2%

Answer:

DEH & DEJ

Step-by-step explanation:

It a acute and angle so it equal complementary

Answer:

√a^3−7-4

Step-by-step explanation:

Replace all occurrences of + − with a single −. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because 1⋅ −1= −1

The local minima of [tex]f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2}[/tex] are (x, f(x)) = (-1.5, 0) and (7.980, 609.174)

The function is given as:

[tex]f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2}[/tex]

See attachment for the graph of the function f(x)

From the attached graph, we have the following minima:

Minimum = (-1.5, 0)

Minimum = (7.980, 609.174)

The above means that, the local minima are

(x, f(x)) = (-1.5, 0) and (7.980, 609.174)

Read more about graphs at:

https://brainly.com/question/20394217

#SPJ1

Step-by-step explanation:

By putting value of a and b in 3b-a

The value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= 3b - a

Plug a = -7 and b = 4

= 3(4) - (-7)

= 12+7

= 19

Thus, the value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

The amount John saves off his minimums after 3 months is $450

From the question, we are to determine the amount John saves off his minimums after 3 months

The amount John saves off his minimums after 3 months =

($500 - $350) × 3

$150 × 3

= $450

Hence, the amount John saves off his minimums after 3 months is $450

Learn more on Calculating amount saved here: https://brainly.com/question/422550

#SPJ1

B = y - mx = 1 - (2/3)(0) = 1

y = (2/3)x + 1

Answer:

Where are the exercizes.

The first subscription option is given by T = 92 while the second subscription option is given as T = 3x. Where T represent the cost of borrowing x number of books.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let T represent the cost of borrowing x number of books.

For the first subscription option:

T = 92

For the second subscription option:

T = 3x

The first subscription option is given by T = 92 while the second subscription option is given as T = 3x. Where T represent the cost of borrowing x number of books.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

38.4

Step-by-step explanation:

32×%20=6.4

32+6.4=38.4 new price

Answer:

More than 30 dollars

Step-by-step explanation:

This situation can be described with the inequality:

x - 5 > 25

1. Add 5 to both sides

2. X > 30

The required system hence becomes

3x-y+4>0,

y + 6 > (x + 2)²

When the symbols “>”, “<”, “≥”, “≤”,  are used to connect two real numbers or algebraic expressions, that relationship is known as an inequality.

The Graph is given below of the given problem statement.

Observe that the parabola y=x² has vertex at (0,0) we can shift the vertex to (-2,-6) to get the parabola

y + 6 = (x + 2)²

And the inequality is

y + 6 > (x + 2)²

Hence, this parabola is as required by the problem.

And the line passing through (-3,-5) and (0,4) is

[tex]\frac{\left(y-4\right)}{\left(-5-4\right)}=\frac{\left(x\right)}{-3}[/tex]

The required inequality hence becomes

3x-y+4>0

Learn more about inequalities here-

brainly.com/question/20383699

#SPJ10

Answer:

Vertex

Step-by-step explanation:

Vertex is the 'point' of an angle

Answer:

28

Step-by-step explanation:

1 dog = 4 legs, 2 dogs = 8 legs

1 horse = 4 legs, 4 horses = 16 legs

1 giraffe = 4 legs.

So we need to add "2 dogs = 8 legs", "4 horses = 16 legs", and 1 giraffe = 4 legs.

(8 + 16 + 4)

We get the final answer: 28

Answer:

I think its y = 2.

Then, your answer will be 10.

Step-by-step explanation:

y²- 2y + 10

=2² - 2.2 + 10

=4 - 4 + 10

=10    ans.

Hope its helpful!

Answer:

If y = 2.

Your answer is 10.

Step-by-step explanation:

y²- 2y + 10

=2² - 2.2 + 10

=4 - 4 + 10

=10   ans.

Hope its helpful!

(a) The arc length of each of the two smaller semicircles is [tex]4\pi[/tex], and the arc length of each of the two larger semicircles is [tex]15\pi[/tex]. Therefore, the perimeter is [tex]2(4\pi)+2(15\pi)=38\pi[/tex].

(b) The area of each of the smaller semicircles is [tex]\frac{1}{2}(\pi)(4^2)=8\pi[/tex], and the areaof each of the larger semicircles is [tex]\frac{1}{2}(\pi)(15^2)}=\frac{225\pi}{2}[/tex].

So, the combined areas of the four semicircles is [tex]241\pi[/tex].

The area of the rectangle is 60, so the total area is [tex]241\pi+60[/tex].

Answer:

(0, 0)

Step-by-step explanation:

Ok so you have the equation: [tex]y = log_2{(x+2)}-1[/tex]. To find the zero you simply set the y equal to zero and then solve for x

[tex]0 = log_2{(x+2)}-1[/tex]

Add 1 to both sides

[tex]1 = log_2{x+2}[/tex]

Rewrite the equation in exponential form:

[tex]2^1=x+2[/tex]

Subtract 2 from both sides

[tex]0 = x[/tex]

So the zero of the function is at the origin (0, 0)

Answer:

[tex]\log_48[/tex]

Step-by-step explanation:

[tex]\log_432-\log_4(4) = \log_4(\frac{32}{4} )=\log_48[/tex]

Using the Poisson distribution, the probabilities are given as follows:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

The mean is given as follows:

[tex]\mu = 10.6[/tex]

Hence the probability of no dandelions in an area of 1 m² is P(X = 0), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-10.6}(10.6)^{0}}{(0)!} = e^{-10.6}[/tex]

The probability of at least one dandelion is:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - e^{-10.6}[/tex]

The probability of at most two dandelions is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-10.6}(10.6)^{0}}{(0)!} = e^{-10.6}[/tex]

[tex]P(X = 1) = \frac{e^{-10.6}(10.6)^{1}}{(1)!} = 10.6e^{-10.6}[/tex]

[tex]P(X = 2) = \frac{e^{-10.6}(10.6)^{2}}{(2)!} = 56.18e^{-10.6}[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = e^{-10.6} + 10.6e^{-10.6} + 56.18e^{-10.6} = 67.78e^{-10.6}[/tex]

More can be learned about the Poisson distribution at https://brainly.com/question/13971530

#SPJ1