A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Answer:

p=24

Step-by-step explanation:

Answer:

6x + 35

Step-by-step explanation:

distribute three and five through parenthesis

remove parenthesis

collect like terms

calculate

8x+3(x+5)-5(x-4)

8x+3x+15-5x+20

6x+35

Step-by-step explanation:

Original Equation:

8x+3(x+5)-5(x-4)

Multiply the number behind bracket one(x+5) and bracket two(x-4)

So it's going to be;

8x+3x+15-5x+20

We have +20 because when you multiply two negative numbers it becomes a positive.

So now we will Combine Like Terms

11x+3x-5x+15+20

Then you will add

11x-5x+35

6x+35

So when you are done this will be the final answer will be;

6x+35

Answer:

a = $13.5

Step-by-step explanation:

Let a = adult tickets

Let c = children tickets

Translating the word problem into an algebraic equation;

For the Martinez family;

2a + 3c = $60

For the Wright family;

3a + 5c = $95.5

Thus, the simultaneous equations are;

[tex] 2a + 3c = $60[/tex] ..........equation 1

[tex] 3a + 5c = $95.5[/tex] .........equation 2

We would use substitution method to solve;

From equation 2, we make a the subject of formula;

3a = 95.5 - 5c

a = (95.5 - 5c)/3

Substituting the value of "a" into equation 1, we have;

2[(95.5-5c)/3] + 3c = 60

Multiplying all through by 3;

2(95.5 - 5c) + 9c = 180

191 - 10c + 9c = 180

191 - c = 180

c = 191-180

c = $11

To find the value of a;

2a +3c = 60

Substituting the value of "c" into the equation, we have;

[tex] 2a + 3(11) = 60[/tex]

[tex] 2a + 33 = 60[/tex]

[tex] 2a = 60 - 33[/tex]

[tex] 2a = 27[/tex]

[tex] a = \frac{27}{2}[/tex]

a = $13.5

Therefore, the cost of an adult movie ticket is $13.5.

Answer:

894 square miles

Step-by-step explanation:

The area of a parallelogram is base•height. In this case the base is 37.25 and the height is 24 (the parallelogram. is sideways). 37.25•24=894.

Answer:

1.) c

2.)b

3.) a

Answer:

3rd option

Step-by-step explanation:

The dotted line at x=3 removes the 2nd one

Cus it's a dotted line, the > sign has no line under it so not 1st option

last option has y intercept at 1 but the graph's y intercept is at -2 so it's not it

Answer:

A

Step-by-step explanation:

The average rate of change of f(x) in the close interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 0, 3 ]

From the graph

f(b) = f(3) = 4

f(a) = f(0) = - 3 , thus

average rate of change = [tex]\frac{4-(-3)}{3-0}[/tex] = [tex]\frac{7}{3}[/tex] → A

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am so sorry, but I actually don’t know how to do that. What grade is this? Dang it this is really hard.

Answer:

Multiply 2 i think!

Step-by-step explanation:

Hope this helped!

Answer:

63 mils

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Pls choose C, it goes from 12 to -4. that's a -16 difference. Over 4 units ([-2,2]), that's -16/4. It's not A because it goes from -4 to 12. That's a 12 difference, making it positive 4 instead of negative 4

Answer:

That's the ans.

Step-by-step explanation:

I screentshot the ans.

Answer:

27 / 28

Step-by-step explanation:

Given that:

Water faucet is turned 5/7 to the right ; then

Water faucet is again turned 1/4 to the right

How far is the water faucet turned ;

Since it is turned towards the same direction during both turning ;

First turning + second turning

5/7 + 1/4

L.C.M of 7 and 4 = 28

[(4*5) + (7*1)] / 28

(20 + 7) / 28

27 / 28

Answer:

See Below

Step-by-step explanation:

To solve, set the equation equal to zero. Then move the six to the other side. Once this is done, you need to isolate the variable by dividing both sides by two.

2y + 6 = 0

     - 6   -6

2y = - 6

2y/2 = -6/2

y = -3

Answer:

yes, yes, yes, no, yes

Step-by-step explanation:

Answer:

∠ J = 45°

Step-by-step explanation:

In a parallelogram , opposite angles are congruent.

∠ H and ∠ J are opposite angles , thus

∠ J = ∠ H = 45°

The measure of angle J in parallelogram HIJK is 45°

A parallelogram is a quadrilateral (four sides and four angles) in which opposite sides are parallel and equal to each other. Opposite angles of a parallelogram are congruent to each other.

∠H = ∠J (Opposite angles of a parallelogram are congruent)

∠J = 45°

The measure of angle J in parallelogram HIJK is 45°

Find out more on parallelogram at: https://brainly.com/question/970600

Step-by-step explanation:

since the two lines are parallel, slope of the line is Sam so it's 3.

let eqn of the line be y = 3x + b.

sub (4, -2):

4 = 3(-2) + b

b = 10

therefore, equation of the line is y = 3x + 10

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer: its b for you

[tex]y = -\frac{5}{3} x-5[/tex]

Step-by-step explanation: hope this helps :)

Answer:

The equation will be x=3l and the value of l is 5 when x=15

Step-by-step explanation:

Proportion is defined as the change in one quantity cause change in other quantity.

Writing x varies directly at l

x∝l

Removing the proportionality symbol introduces a constant of proportionality

[tex]x=kl[/tex]

x=6 when I=2, Putting values

[tex]6 = k(2)\\k = \frac{6}{2}\\k = 3[/tex]

The equation will become

[tex]x = 3l[/tex]

Now to find the value of l when x=15, putting x=15 in equation

[tex]15 = 3l\\\frac{15}{3} = \frac{3l}{3}\\l =5[/tex]

Hence,

The equation will be x=3l and the value of l is 5 when x=15

m=24=+(-9,1,3

        3

Step-by-step explanation:

Substitute n=3,\pm 1n=3,±1 into 3m-9n=243m−9n=24

Solve for mm in 3m-(-9,1,3)=243m−(−9,1,3)=24

Answer: sry for a late answer but it is D

Step-by-step explanation:

Answer:

<1=134 degrees

<2=46 degrees

Step-by-step explanation:

Ans in attachment

hope it helps :)

plz mark as brainliest

Answer:

x < 9

if g(x) < 27

Step-by-step explanation:

Since g(x) = 3x

then for g(x) = 27

3x = 27

x = 27/3

x = 9

so when g(x) < 27

x < 9

Answer:

The input of a algebraic equation

Step-by-step explanation:

You're welcome