The trampoline park charges a $8 for kids and $4 for adults. Your extended family is going there to celebrate your birthday. Your family has at most $190 dollars to spend on entrance fees. You can invite at most 35 people. What are some possible combinations of adults and kids who could go to your party? Write a system of equations for this situation.

Answer:

59%

Step-by-step explanation:

Answer:

5.7

Step-by-step explanation:

cos 18° = x / 6

0.9511 =x / 6

cross multiply

x = 5.70666

To 1 decimal place

ANSWER = 5.7

Have a nice day !

Answer:

5.7 =x

Step-by-step explanation:

cos theta = adjacent side/ hypotenuse

cos  18 = x /6

6  cos 18  = x

5.706339098 =x

Rounding to the nearest tenth

5.7 =x

Answer:

c

Step-by-step explanation:

Answer:

D does not show an equivalent rate

Step-by-step explanation:

we first need to find out how many words typed per minute so we divide 75 by 3 (3 divided by 3 is 1 and what we do to one side must be done to the other)

75 ÷ 3 = 25

25 word per 1 minute

now we need to multiply the minute by 25 to get the number of words typed

25(words) x 1(minute) = 25 words in 1 minute(so A is correct)

25(words) x 2(minute) = 50 words in 2 minutes(so B is correct)

25(words) x 4(minute) = 100 words in 4 minutes (so C is correct)

25(words) x 5(minute) = 125 words in 5 minutes(so D is incorrect)

Answer:

y ≤ 0

Step-by-step explanation:

The correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

What are domain and range of a function?

Range is the set of all values that the given function can output, whereas domain is the input or set of values for which the function is defined.

The graph of a function is shown. We know that the range of function is the output of the input of values we give to the function. Another thing to keep in mind is that we often plot functions with the outputs on the vertical axis and the inputs on the horizontal axis.

From graph it is clear that the function is going down from axis to negative y - axis.

So , it is clear that range will be less than or equal to zero.

i.e.,

Range is :

y ≤ 0

Therefore , the correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

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Answer:

a. 12 students had received college credit for math

b. 26 students had received college credit for science

The trapezoid has two right angles and at least one obtuse angle, the correct option is B.

A obtuse angle is an angle which is greater than 90° and less than 180°.

A right trapezoid (also called right-angled trapezoid) has two adjacent right angles.

Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.

An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base.

Hence, the trapezoid has two right angles and at least one obtuse angle.

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Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

It can be written as:

[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]

[tex]\dfrac{1}{2}x+1+3y<8[/tex]

[tex]\dfrac{1}{2}x+3y<8-1[/tex]

[tex]\dfrac{1}{2}x+3y<7[/tex]

All the points that satisfy the above inequality are in the solution set of the given inequality.

For example (0,0).

[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]

[tex]0<7[/tex]

This statement is true. It means (0,0) is in the solution set.

For example (0,3).

[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]

[tex]9<7[/tex]

This statement is false. It means (0,3) is not in the solution set.

The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

Answer:

Step-by-step explanation:

the odds are 4 in 11

Answer:

3570

Step-by-step explanation:

the current monthly rent is 4200.

now, decreasing it by 15% means to reduce it, to subtract 15% from it.

4200 = 100%

42 = 1%

15% = 42 × 15 = 630

so, the new rent is 4200 - 630 = 3570

Answer:

im not sure but i think its 151200

Step-by-step explanation:

12000 + %5 = 12600 x 12 = 151200                   i could be completely wrong tho

Answer:

below

Step-by-step explanation:

that is the solution above

The simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Here, given expression;

 [tex]\frac{x+2}{4x^2+5x+1} X \frac{4x+1}{x^2-4}[/tex]

[tex]\frac{x+2}{4x^2+4x +x+1} X \frac{4x+1}{x^2-2^2}[/tex]

[tex]\frac{x+2}{4x(x+1)+1(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]

[tex]\frac{x+2}{(4x+1)(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]

[tex]\frac{1}{(x+1)(x-2)}[/tex]

Thus, the simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

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Answer:

x = 7

Step-by-step explanation:

123 = 17x + 4

123 - 4 = 17x

119 = 17x

119 / 17 = x

7 = x

Answer:its a or c hope it helps i

Step-by-step explanation:

Answer:

It is a vertical COMPRESSION

Step-by-step explanation:

"The graph of function g is a vertical compression of the graph of function f"... I just took the test. It's NOT B. Hope this helps!

Answer:

4.12m

Step-by-step explanation:

(distance of whole shadow - distance of Aisha from tree)

17.95-12.5=5.45m

17.95/5.45=3.29...(scale factor)

3.29...*1.25=4.12m(to the nearest hundredth)

Answer:

midpoint

Step-by-step explanation:

the midpoint divides a segment into two equal parts

Answer:

midpoint of the answer

Step-by-step explanation:

midpoint means middle point. thus the line is divided in 2 equal parts

this is g mail ok dont do enything messed up ok :)

Answer:

www.//.thehub.com./..

Answer:

Y,O,Q

Step-by-step explanation:

Answer:

y = 90000 (1.023)^x

Answer:

B.white

Step-by-step explanation:

They are more white mask.

Answer:

a)[tex]ms^{-1}[/tex]

b)[tex]71ms^{-1}[/tex]

Solution:

a)

we are finding the derivative from position to velocity thus

units = [tex]ms^{-1}[/tex]

b)

[tex]m=\frac{y(2)-y(0)}{2-0}=\frac{139+3}{2}=71ms^{-1}[/tex]

Answer:

78.5

Step-by-step explanation:

The radius of the circle is 25 so youu multiply that by 3.14

25*3.14=78.5

Answer:

x = 0 and x = -1/2

Yes there is an error in the student's work. The error is that he is considering only single value of x. To correct the error he/she must calculate all the possible values of x. The process is shown in the paper.

Answer:

first one is A) 21

second one is D) 150

Step-by-step explanation:

first one : add all marbles  =  10

there are 3 red

chances of picking a red 3/10 or 30 percent or .3

multiple 70 by .3 and get 21

second one:

A = 6[tex]a^{2}[/tex] (Surface area of cube)

600 = 6[tex]a^{2}[/tex]

a = 10

half of 10 is 5

6([tex]5^{2}[/tex]) = 150

Answer:

Its b) 55

Step-by-step explanation:

trust me,......

a)

sin18 = AB/80

AB = (sin18)(80) = 24.7214 m

b)

tan25 = BT/AB = BT/24.7214

(24.7214)(tan25) = BT

BT = 11.5278 m

Answer:

8 = 3a + 4

4=3a

4/3=a

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

a = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

To solve for a, you must isolate it (variables on one side, constants on the other):

8 = 3a + 4 (starting equation)

8 - 4 = 3a + 4 - 4 (subtract 4 from both sides)

4 = 3a + 0 (calculate)

4 = 3a (no need to write +0)

[tex]\frac{4}{3}[/tex] = [tex]\frac{3a}{3}[/tex] (divide both sides by 3)

[tex]\frac{4}{3}[/tex] = a (simplify -- 3/3 = 1)

So, a = [tex]\frac{4}{3}[/tex].