Can someone help please .

Answer:

If x represents the no. of adults

and y represents the children, then

x + y = 550

9x + 3.50y = 3575

Answer:

Step-by-step explanation:

Number of children = y

Number of adults = x

Total people = 550

x + y = 550 ------------------ (I)

Charge for 'y' children =3.50 * y = 3.5y

Charge for 'x' adult = 9 * x = 9x

Total amount = $ 3575

9x  + 3.5y = 3575 -------------(II)

Multiply equation (I) by (-9)

(I)*(-9)  -9x - 9y = -4950  

(II)         9x  + 3.5y = 3575  { Now add and so 'x' will be eliminated}

                  - 5.5y   =  -1375

y = -1375/-5.5

y = 250

Plug in y = 250 in equation (I)

x + 250 = 550

            x = 550 - 250

            x = 300

Number of children = 250

Number of adults = 300

Answer:the variation is 5

Step-by-step explanation:

Answer:

5 on edg

Step-by-step explanation:

Answer:6 ÷ 4x = 15

Step-by-step explanation:

six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15

Answer:

x=84

Step-by-step explanation:

x÷4-6=15

x÷4=21

x=84

Answer:

2.73

Step-by-step explanation:

2.72(6)03

use 6= 2.73

Answer:

Step-by-step explanation:

1. the solution is the fourth one

2. the solution is the first one

Answer:

screen shot for first page

y=-|x-3|-3 second page

Step-by-step explanation:

screen shot for first page

y=-|x-3|-3 second page

Answer:

the last one

Step-by-step explanation:

Answer: The answer is the last graph.

Step-by-step explanation:

The first graph's difference is not a constant ratio.

The 2nd is multipled first by -5, then 5. Therefore wrong.

The third's difference is changing: (4,8,16...._) It would have to be always 4 if it was a linear.

The last one has the same increase every time.

Answer:

segment IG ≅ segment LJ

Step-by-step explanation:

Please refer to the attached image as per the triangles as given in the question statement.

[tex]\triangle HGI, \triangle JKL[/tex]

[tex]G\left(-3,1\right),\ H\left(-1,1\right),\ I\left(-2,3\right)[/tex]

[tex]J\left(3,3\right),K\left(1,3\right),L\left(2,1\right)[/tex]

Given that:

[tex]HI\cong KL[/tex] and

[tex]\angle I \cong \angle L[/tex]

SAS congruence between two triangles states that two triangles are congruent if two corresponding sides and the angle between the two sides are congruent.

We are given that one angle and one sides are congruent in the given triangles.

We need to prove that other sides that makes this angle are also congruent.

To show the triangles are congruent i.e. [tex]\triangle GHI \cong \triangle JKL[/tex] by SAS congruence we need to prove that

segment IG ≅ segment LJ

Let us use Distance formula  to find IG and LJ:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]IG =\sqrt{(-2+3)^2+(3-1)^2} =\sqrt5\ units[/tex]

[tex]LJ =\sqrt{(2-3)^2+(1-3)^2} =\sqrt5\ units[/tex]

Hence, segment IG ≅ segment LJ

[tex]\therefore[/tex] ΔGHI ≅ ΔJKL by SAS

Answer:

6

Step-by-step explanation:

Volume of the cone = V=πr2h ^3=π·62·24 ^3≈904.77868

So, the volume of the sphere, will be the same too:

904.78 = 4/3 x pi x r^3

Solve:

904.78 = 4.18 x r^3

r^3 = 904.78 divided by 4.18

r^3 = 216.45

r = cube root of 216(approximate) = 6.

Hope this helps.

Good Luck

Answer:

x= 150

Step-by-step explanation:

X/5 = 30

x = 5×30

x= 150

Answer:

150

Step-by-step explanation:

[tex]\frac{x}{5}[/tex] = 30

→ Multiply both sides by 5 to isolate x

x = 150

A U B={1,2,3,5,7}

A n B={3,5}

solution,

U=(1,2,3,4,5,6,7}

A={1,3,5,7}

B={2,3,5}

Now,

A U B

={1,3,5,7} U{2,3,5}

={1,2,3,5,7}

A n B

={1,3,5,7} n {2,3,5}

={3,5}

please see the attached picture..

Hope this helps..

Good luck on your assignment

Answer:

The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.

Answer:

First one is the true statement

Answer:

DB=BK

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

double check your answer

Answer:

  C.  Add a radical term to both sides and square both sides twice

Step-by-step explanation:

We suppose you want to solve ...

  [tex]\sqrt{b+20}-\sqrt{d}=5\\\\\sqrt{b+20}=5+\sqrt{d}\qquad\text{add a radical term}\\\\b+20=25+10\sqrt{d}+d\qquad\text{square both sides once}\\\\b-d-5=10\sqrt{d}\qquad\text{subtract right-side non-radical terms}\\\\(b-d-5)^2=100d\qquad\text{square both sides a second time}[/tex]

__

We note that the solution summary (choice C) doesn't mention the fact that you need to separate the remaining radical term from the others after the first squaring.

The result is a quadratic function that produces extraneous solutions. This is shown in the attached graph. The red function is the original relation between b (x) and d (y). The blue function includes the red function and another branch that is all extraneous solutions.

Answer:

-3 does not belong because it is not an algebraic expression unlike the others.

-3 dose not belong because it is an algebraic expression and you can also tell cause it ha no X

Answer:

(i) 1/21

(ii) 1/10

(iii) Take a look at the explanation: Try this one yourself. I have given you some hints.

Step-by-step explanation:

(i) Two red balls:

To do this, we need to find the total amount of possible choices first. To do this, we multiply 15 by 14. This is our denominator:

15(14) = 210

Now, we need to find the total combinations of red balls. We solve 5 choose 2 for this one.

5 choose 2 = 5(4)/2! = 10

Our numerator is 10. Therefore, our probability is 10/210 = 1/21.

(ii) Two blue balls or two black balls:

To do this, we need to add the probabilities of getting a blue ball with a black ball. (Since there is an "or" sitting there. If there is an "and", we multiply)

So, let's calculate the probability of getting a blue ball first:

Blue:

We use the same denominator as before: 210.

Our numerator is now 6 choose 2, which is:

6 choose 2 = 6(5)/2! = 15.

Now, our fraction is 15/210, BUT, dont simplify, as we will need to add.

Black:

Same steps: denominator is 210, but the numerator is 4 choose 2.

Solving 4 choose 2:

4 choose 2 = 4(3)/2! = 6.

Our numberator is 6.

But, we cant forget to add them!

(15 + 6)/210 is 21/210, which is 1/10.

(iii) I'll let you try this one by yourself. Here is a hint:

Solve for the probability of chooseing a black ball and a red ball. Then, multiply.

Enjoy the process, and I hoped this helped you! (If you have any questions, feel free to ask)

Answer:

x=88° a=+3 b=4a-3

Step-by-step explanation:

as triangles ADE and BCE are congruent by sss axiom

so correponding angles are equal

i.e<AED = <BEC

and <DAE =90-60

=30°

so

62°+x+30°=180°

therefore x=88°

Answer:

hope this helps uh...!!!

Answer:

Step-by-step explanation:

3x+6y=-18

y=-3x/6-18/6

y=-1/2 x-3

Answer:

-3, 5/2

Step-by-step explanation:

What are the roots of the function y = 4x2 + 2x – 30?

To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.

Factor out the GCF of : 2, so the equation becomes 0 = 2(2x2+x-15)

Next, factor the trinomial completely. The equation becomes: 0=2(x+3)(2x-5)

Use the zero product property and set each factor equal to zero and solve.

x+3=0      2x-5 = 0

x = -3, 5/2

The roots of the function are -3, 5/2.

Hope this helped!

The roots of the function y = 4x² + 2x - 30 are -3, 5/2 after using the zero product property.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

y = 4x² + 2x - 30

To find the roots of the quadratic equation plug y = 0

4x² + 2x - 30 = 0

4x² + 12x - 10x - 30 = 0

4x(x + 3) - 10(x + 3) = 0

(x + 3)(4x -10) = 0

x + 3 = 0  or  4x - 10 = 0

x = -3 or x = 10/4 = 5/2

Thus, the roots of the function y = 4x² + 2x - 30 are -3, 5/2 after using the zero product property.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

a) Domain: All real numbers

b) Domain: -4<x<=4

a) Range: All real numbers greater than 2

b) Range: 0<=y<=4

Step-by-step explanation:

Domain is the possible x values

Range is the possible y values

Open circle means not included

Close circle means included

Answer: a) Domain: x = (-∞, ∞)              b) Domain x = (-4, 4]

                  Range y = [2, ∞)                        Range y = [0, 4]

Step-by-step explanation:

Domain represents the x-values. Range represents the y-values.

a) the graph doesn't end so every x-value is possible

  x = All Real Numbers       x = (-∞, ∞)

The lowest y-value (minimum) is at y = 2.  All other y-values are greater than that. y ≥ 2      y = [2, ∞)

b) The graph starts at x = -4 with an open dot so it doesn't include -4.  It ends at x = +4 with a closed dot so it does include +4.

     -4 < x ≤ 4           x = (-4, 4]

The lowest y-value (minimum) is at y = 0.  All other y-values are greater than that up to y = 4. 0 ≤ y ≤ 4      y = [0, 4]

Answer:

b

Step-by-step explanation:

Let’s lets take a step back.

What is domain?

Domain is the x values in a graph.

So with the points listed -> (0,2) (3,1) (-2,0) (2,-1)

The domain are 0, 3, -2, 2.

So the anser is b.

Answer:

The answer is B

Step-by-step explanation:

because the domain is always gonna be on the x axis id there are to numbers such as 5,-2 the first number is always the domain so when looking at the graph find each set of number in this case it would be -2,0   0,2   2,-1   3,1

you then take the first number from every set which is -2,0,2,3 and thats your domains

Answer:

5x(5y + 1)

Step-by-step explanation:

The only way to simplify this is to factor out GCF. We cannot factor out into binomial terms because there is no x² or y² term.

When we first glance at the expression, we can see that we can take out a 5:

5(5xy + x)

Afterwards, we can see that we can take out an x:

5x(5y + 1)

That would be our answer in the most simplified way.

Answer:

5(5xy + x)

Hope this helps

Answer:

The 13th term is 67,108,864

Step-by-step explanation:

The term goes up by -4 so you times each number by -4 until you have reached the 13th term. for example 64*-4 is the 4th term, whatever you got for 64*-4 you times by -4 until you have reached the 13th sequence :)

Hey there! :)

Answer:

V = 3408 units³

Step-by-step explanation:

Given:

r = 12

h = 71

Volume of a cone: V = 1/3 (bh) where b = πr²

Calculate the area of the base:

A = 12²π

A = 144π units²

Plug this into the formula for the volume of a cone:

V = 1/3 (144π · 71)

V = 1/3 (10224)

V = 3408 units³

Answer:

B . 3408 π  units^3

Step-by-step explanation:

[tex]h = 71\\r = 12\\V =?\\V = \frac{1}{3} \pi r^2 h\\V = \frac{1}{3} \pi \times 12^2 \times 71\\V = \frac{1}{3} \pi \times 144 \times 71\\V = 3408 \pi -units^3[/tex]

Answer: Maria was born in 1964

Step-by-step explanation:

Let Sue's age be x

Maria's age be 3x

Five years ago, their ages were

x-5, 3x-5

So

(x-5) + (3x-5) = 18

x-5 + 3x - 5 = 18

4x -10 = 18

4x = 18+10

x = 28/4 = 7

Sue's age x-5 = 7-5 = 2

Maria's age = 3x-5 = 3(7)-5 = 21-5=16

Maria was born in 1980 - 16 = 1964

Answer: 1964

Step-by-step explanation:

to solve this question we should assign an equation for each year :

let x be Maria's age and y Sue's age.

Now let's solve each equation by trying to minimise the number of variables we are dealing with

how ?

let's multiply x+y= 18  by -1

we get -x-y=-18

Now let's add this last equation to x-3y-10 = 0 to get rid of x

so Sue's age is 2 .

let's calculate x the age of Maria by replacing y by 2 in x+y= 18

Let's check : in 1985 Maria's age is 21 and sue's age is 7

so it's true.

Now let's calculate Maria's year of birth :

In 1985 Maria was 21 so :

Maria was born in 1964

By the Triangle Inequality Theorem, the sum of two sides should be greater than the length of the third side, while the difference of these two sides should be less than the length of this third side. Normally you would take the absolute value of the difference of these two side as you wouldn't know which is greater than the other!

The simplest way to prove whether these line segments can form a triangle, is by going against this theory. Let us prove that the line segment don't form a triangle. As you can see, adding 7 and 1 is greater than 1, respectively 7 and 7 is greater than 1. Thus -

Solution = A. True

Answer:

5x - 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 3x - 2 + 2x + 1 ← collect like terms

= 5x - 1

Answer:

B) 4x = 6

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

I had the same question today what a coincidence! :)

Answer: X

Step-by-step explanation:

X is where the second stage occurs

Answer:

The answer would be X hope this helps and have a great day :)

Step-by-step explanation:

Answer:

y =x+6

Step-by-step explanation:

The slope is 1. Up one, over one.

The y intercept is 6.

Answer:

y = x + 6

Step-by-step explanation:

y = mx + b

The slope can be found by rise/run.

(0, 6) (1, 7)

(7 - 6)/(1 - 0)

1/1 = 1

The y-intercept is (0, 6) or 6.

y = 1x + 6