PLEASE HELP ASAP!! Students take a test worth a total of 100 points. There are 24 questions on this test, some are worth 5 points and others are worth 3. Solve for how many 5 point questions and 3 point questions there are on the test

Answer: 0.12

x is the number which is chosen

The number of ways to choose x from 1 to 100 is 100 (ways)

because x  is divisible by 8​ => x ∈ {8; 16;...; 96}

=>  the number of terms divisible by 8 from 1 to 100 is (96 - 8)/8 + 1 = 12

the number of ways to choose x which is divisible by 8​ is 12 (ways)

=>  the probability that x is divisible by 8​ is 12/100 = 0.12

Step-by-step explanation:

Answer:

8/12

Step-by-step explanation:

Answer:

The missing angle is 65°

Step-by-step explanation:

For context, all triangles' angles will always add up to 180°. The outside angle of S is supplementary to the inside angle, so in order to find S:

180 - 153 = 27°

<TSU = 27°

S = 27°

U = 88°

As mentioned before, angles of triangles will add up to 180. In order to find the missing angle (?) we will add the other two sides and subtract them from 180.

27 + 88 = 115

180 - 115 = 65°

Answer:

To stay within budget, she must use 4.4 gigabytes.

Step-by-step explanation:

Giving the following information:

Fixed cost= $57.50 per month

Variable cost= $4 per gigabyte.

She wants to keep her bill at $75.10 per month.

First, we need to establish the total cost formula:

Total cost= 57.5 + 4*x

x= number of gigabytes

Now, we isolate x:

75.1= 57.5 + 4x

17.6/4= x

4.4= x

To stay within budget, she must use 4.4 gigabytes.

Answer:

she has to use 4.4 gigabytes

Step-by-step explanation:

Answer:

number 3

Step-by-step explanation:

Answer:

M = 2 b= 10

Step-by-step explanation:

Turn it to mx + b form

By +2x to both sides

Y = 2x + 10

unfortunetly my answer was wrong so i edited it........

Answer:

x = 3, x = 4

Step-by-step explanation:

The absolute value function always gives a positive result.

However the expression inside can be positive or negative, that is

2x - 7 = 1 or - (2x - 7) = 1

solving both

2x - 7 = 1 ( add 7 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x - 7) = 1 ← distribute left side

- 2x + 7 = 1 ( subtract 7 from both sides )

- 2x = - 6 ( divide both sides by - 2 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 4 : | 8 - 7 | = | 1 | = 1 = right side

x = 3 : | 6 - 7 | = | - 1 | = 1 = right side

Then x = 3, x = 4 are the solutions

Answer:

[tex] \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}[/tex]

Step-by-step explanation:

[tex] \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ [/tex]

Answer: x =  

-1/6 -2

explanation:

I looked it up on Math

way

Answer: x=-2 x=-1/6

Step-by-step explanation: you can use factoring to solve this becuase it is factorable to real numbers. You would want to use quadratic formula is there is an imaginary number or square roots.

(6x+1)(x+2)=0

set them both equal to zero and solve, foil your answer

Answer:

a

Step-by-step explanation:

Answer:

I think it's

Step-by-step explanation:

It might be a because (6.9, 10) is not a graph included.

Answer:

first blank: 2

second blank: 2

Answer:

-6 and -3

Step-by-step explanation:

Answer:

Average price = $3.185

Step-by-step explanation:

Given:

12 notepads = $4.20 each

25 folders = $0.80 each

3 calculators =  $19.00 each

Find:

Average price

Computation:

Average price = Total cost / Total number of item

Average price = [(12)(4.20) + (25)(0.80) + (3)(19)] / [12 + 25 + 3]

Average price = [(50.4) + (20) + (57)] / [40]

Average price = [127.4] / [40]

Average price = $3.185

Answer:

Step-by-step explanation:

Answer:

5 small rooms and 10 large rooms

Step-by-step explanation:

EZ POG

Answer:

78 boys

Step-by-step explanation:

If the raio is 2:3 that means there are 5 equal parts

56/2 28

3 x 28 = 78

Answer:

-4/3

Step-by-step explanation:

it says to find the slope you do y2 - y1 / x2 - x1.

From the points, you have x1 = -3, x2 = 0, y1 = 3, y2 = -1.

Plug those in:

-1 - 3 / 0 - (-3) = -4 / 3 = -4/3

Answer:

-1-3/0-(-3)= -4/3

Step-by-step explanation:

since m=y2-y1/x2-x1 the equation would be -1-3/0-(-3) which equals to -4/0+3 which equals -4/3. since it's slope you do not simplify.

Answer:

11

Step-by-step explanation:

q^4=4

r=1

s^6=6

4+1+6=11

Answer:

ab+5a+3b+15

Step-by-step explanation:

(a+3)(b+5)

a(b+5)+3(b+5)

ab+5a+3b+15

Answer:

d

Step-by-step explanation:

Answer:

the second one and the last one

Step-by-step explanation:

Answer:

C- 4f less than or equal to 36

Step-by-step explanation:

The fish are 4 dollars each so how many fish you buy, you will multiply 4. Example- I will buy 5 fish so 5×4=20.

You can only spend less than 36 or you can spend exactly 36 dollars.

In my example I spent less than 36 dollars. I don't know if you understand but tell me if you need help.

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

1,3,1,2

Step-by-step explanation:

don't know if I'm working correctly

Answer:

4th option

Step-by-step explanation:

The first step for the first two choices are incorrect, the first one is supposed to be same side exterior angles, the second, same side exterior as well. For the third, the third step is not alternate interior angles.

Answer:

true false false true

Step-by-step explanation:

Answer:

The answer is C