The total entrance fee for a group of 4 adults and 3 children to a water park is $220. The total fee for a group of 2 adults and 1
child is $98. Determine the entrance fee for an adult and the entrance fee for a child.
a. Select the system of equationslokat model the situation. Solve by using substitution.

Answer:

14

Step-by-step explanation:

16-2= 14

Hope this helps!

Answer:

Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle

Answer:

16

Step-by-step explanation:

1L=10DL

10L=100DL

100DL÷6DL=16.67

Answer:

(x - 7)(x - 4)(x + 4).            

Step-by-step explanation:

A(x) = x3 – 7x² – 16x +112

Dividing by x-7:

      x^2  - 16               <-------- Quotient

     -----------------------------

x-7)x^3 - 7x^2 - 16x + 112

     x^3 - 7x^2

                    0 - 16x + 112

                        - 16x + 112

                          ..............

so A(x) = (x - 7)(x^2 - 16)       x^2 - 16 is the difference of 2 squares so we have:

(x - 7)(x - 4)(x + 4).

Checking by expanding the brackets:  

(x - 7)(x - 4)(x + 4)

= x(x - 4)(x + 4) - 7(x - 4)(x + 4)

= x(x^2 - 16) - 7(x^2 - 16)

= x^3 - 16x - 7x^2 + 114

= x^3 - 7x^2 - 16x + 112          

Answer:

a. Rosemarie has 16 grandchildren.

b. Each grandchild would receive $0.50 or 50 cents.

Step-by-step explanation:

a. There are 4 sons, and each son has 4 children.

Son 1: 4 children

Son 2: 4 children

Son 3: 4 children

Son 4: 4 children

So you can find the total number of grandchildren by adding up the amount of children each of the sons have: 4 + 4 + 4 + 4 = 16

Rosemarie has 16 grandchildren.

b. If the are $8 total, and it is split equally between Rosemarie's sons, it means each son would get $2 (because $8 / 4 sons = 2).

And then each son would split it between his 4 kids. So $2 / 4 kids = $0.50

Each grandchild would receive $0.50 or 50 cents.

Answer:

y = 1.5x + 9  

(y = height; x = number of cups)

Step-by-step explanation:

let x = number of cups

let y = height of the stack

the first cup will add 9 to the height (7.5 + 1.5)

so 9 is the y-intercept

for each additional cup, 1.5 will be added

so y = 1.5x + 9

Answer:

1) 906

Step-by-step explanation:

It's in the ones value making it represent the value of 6

Answer:

If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work? ∴ 7 women and 11 girls can do complete work in 3 ¾ days.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 women or 5 girls take 17 days to complete a piece of work.

The amount of work*people is:

Number of people in the second case:

Time required to complete same work:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The side lengths of Triangle representing a right angled Triangle is :

because , Pythagoras theorem is true for given Side lengths,

that is :

Answer:

7,24,25

Step-by-step explanation:

Use Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto 25^2=24^2+7^2[/tex]

[tex]\\ \sf\longmapsto 625=576+49[/tex]

[tex]\\ \sf\longmapsto 625=625[/tex]

[tex]\\ \sf\longmapsto verified[/tex]

Answer:

A is the correct option.

Step-by-step explanation:

Since both lines are perpendicular to each other, that means the sum of their angles is equal to 90°.

Then,

(5x + 2) ° + 13° = 90°

5x + 15° = 90°

5x = 75°

x = 15°

Answer:

3 ballons

Step-by-step explanation:

47-35=12

4x3=12

Answer:

I think it is a Toyota I don't remember the model name.

Step-by-step explanation:

Answer:

X = 22°

Step-by-step explanation:

Answer:

3.625

step by step explanation :

I  just simply searched it up

Answer:

Step-by-step explanation:

yo

Answer:

option 3 left bottom corner

Step-by-step explanation:

Answer:

$79.7468

Step-by-step explanation:

Answer:

The first one and the last one

Step-by-step explanation:

To sub x>0 and x<0 into every functions.

Then, u will get some function that y doesn't have a negative value or positive value.

Then, these function doesn't fulfill the range.

Then, u will get the answer.

The value of x is -(5 + 3√2).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

7- 3√2-x=12

Now solving

7- 3√2-x=12

Subtract 7 from both side

7- 3√2-x - 7 =12 - 7

- 3√2-x = 5

Now, add 3√2 both side

-3√2 -x + 3√2 = 5 + 3√2

-x= 5 + 3√2

x= -(5 + 3√2)

Hence, the value x is -(5 + 3√2).

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

infinite solution

Step-by-step explanation:

-2 times x is -2x

-2 times 3 is -6

-2 times x is -2x

-2 times 1 is -2

the equation now looks like this:

-2x-6=-2x-2-4

Simplify

-2x-6=-2x-6

0=0

So this is an infinite solution

Hope this helps!

Answer:

24 liters

Step-by-step explanation:

2×3×4

Answer:

[tex]x=5/2[/tex]

Step-by-step explanation:

When [tex]f(x)=30[/tex], we have [tex]3x+9x=30[/tex].

Combining like terms on the right side, we have [tex]12x=30[/tex].

Finally, dividing by [tex]12[/tex] we get [tex]x=30/12[/tex].

We note that [tex]30=6*5[/tex] and [tex]12=6*2[/tex], so [tex]30/12=5/2[/tex].

So, [tex]\boxed{x=5/2}[/tex] and we're done!

Answer:

Yes the answer is D. The actual net income for the month is -$30. Less money could have been spent on food.

Step-by-step explanation:

Just took the test on Edg. 2021

Answer:

x=45

Step-by-step explanation:

2(45)=90

90/2=90/2

61.69

hope this helps

Answer:

if ever po na dimo nakita yan dito ayan po yung answer

Answer:

Tim's with a y-intercept of $2,780

Step-by-step explanation:

To find Paul's y-intercept, solve the equation y-1400=56(x+26) for y. Then use the standard format for a linear equation y=mx+b to determine the y-intercept which would be b.

Step 1. Get y by itself by adding 1,400 to both sides.

y-1400 + 1400 = y

56(x+26) + 1400 = 56(x+26) + 1400

New equation y = 56(x+26) + 1400

Step 2. Distribute 56(x+26)

56(x+26) = 56 * x + 56 * 26 = 56x + 1456

New equation y = 56x + 1456 + 1400

Step 3. Simplify.

y = 56x + 2856

Paul's y-intercept would be 2856 because when y=0 x=2856

To Find Tim's y-intercept, subtract 225 * 8 from 4580.

225 * 8 = 1800

4580 - 1800 = 2780

Answer:D or answer 4 or 2,780 dollars.

Step-by-step explanation:

test

Answer:

Heres your answer graphed

Step-by-step explanation: