Ana writes test to upgrade her level. The test has 25 question for a total score of 150 points. Among the 25 questions, each multiple-choice questions carries 3 points and the descriptive type questions carries 8 points. How many multiple-choice question and descriptive types question are there in the test?




(I need answer with solution)​

Answer:

b

Step-by-step explanation:

Since it intercepts y at 4, and x at 2, we use y=ax+b and rearrange to get the equation from y=2x+4 to 2x-y=-4

Answer:

b) 2x - y = -4

Step-by-step explanation:

The y-intercept is the y-coordinate of the point (0, b) where the graph crosses the y-axis. It is also the value of y when x = 0.

The crosses the y-axis at point (0, 4). Therefore, the y-intercept, b = 4.

Next, we need to determine which of the given options matches the graph.  It helps to transform each of them into their slope-intercept form, y = mx +b:

2x - 2x + y = - 2x + 4

y = -2x + 4  (This is not the correct answer because the slope, m = -2. The given graph has a positive slope).

2x - 2x - y = - 2x - 4

-y = -2x - 4

Divide both sides by -1:

[tex]\frac{-y}{-1} = \frac{-2x - 4}{-1}[/tex]

y = 2x + 4 This is the correct answer because it matches the y-intercept (0, 4), and has a positive slope of 2.

We could easily disregard the last two options because both of their y-intercept is 0.

Therefore, the correct answer is Option b) 2x - y = - 4

The height of the escalator is as calculated using trigonometric ratios.

We know that in a right angled triangle the trigonometric ratios are

tan θ = perpendicular ÷ base

For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .

Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.

Now using the trigonometric ratio of tanθ

tan θ = 2 / 3

Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .

Now, the height is given as h .

∴ tan θ = h / 90

or, 2 / 3 = h / 90

or, h = 60 feet

Therefore the height of the escalator is 60 feet.

To learn more about trigonometric ratios visit:

https://brainly.com/question/1201366

#SPJ1

Answer:

(0,4) and (1,2)

Step-by-step explanation:

The standard equation of a straight line is given as y = mx + b

Given the equation y = -2x + 4

Is x = 0, then;

y = -2(0) + 4

y = 4

One of the point on the graph is (0,4)

If x = 1, then;

y = -2(1) + 4

y = -2 + 4

y = 2

Hence the second point is (1, 2)

Learn more on equation of a line here: https://brainly.com/question/19417700

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex] \red{ \rule{50cm}{0.01cm}}[/tex]

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

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

The value of x is :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

let's solve ~

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex] \red{ \rule{50cm}{0.01cm}}[/tex]

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

Answer:

b=y-ms

Step-by-step explanation:

Subtract y from both sides,

-b=ms-y

Divide through by -1,

b=-ms+y

Rearrange the equation.

b=y-ms

Answer:

looks like your understanding is pretty good! I'm not sure how you missed the first 2... you should check those two against your understanding.

Step-by-step explanation:

a) 2

b) 1

Step-by-step explanation:

Add 10 to the age you are now and get an answer.

Your age will be 10 years old.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Riddles are of two types: enigmas, which are problems generally expressed in metaphorical or allegorical.

Given that we need to find if you were born 10 years ago how old would you be,

So, you will be 10 years old.

It because when you born 10 years ago, The same as your age.

Thats the puzzle when someone's questions, that called Riddle.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Hence Your age will be 10 years old.

Learn more about riddles click;

https://brainly.com/question/478260

#SPJ2

Answer:

Simplify the expression.

Exact Form:

1/6561

Decimal Form:

0.00015241

…

Step-by-step explanation:

1/6561

Answer:

1/6561

Step-by-step explanation:

(3^-2)^4

multiply the exponents:-8

3^-8

then make the 3 a fraction to remove the negative 1/3^8 then multiply 1/3, 8times so the answer is 1/6561

Answer:

y=-5x+16

Step-by-step explanation:

Answer:

Step-by-step explanation:

a

Answer:

11/y

Step-by-step explanation:

Becasue you gave a formula with a common denominator, you only have to focus on adding the numerators 8 and 3

8 + 3 = 11 so than 11 goes over 'y' as 11/y

Hope this helps!

Answer:

-4<-1 and -1<4

Step-by-step explanation:

Answer/Step-by-step explanation:

Call Monday's price, P

Tuesday's price must just be .80P   [ 20% reduction]

Call Wednesday's price reduction ( 1 - R)

So...we have that

Tuesday's price  *  Wednesday's reduction  = (1/2)P

(.80)P  *( 1 - R)  = (1/2)P    divide through by  P  and note that 1/2  = .50

.80 (1 - R)  = .50        divide both sides by .80

1 - R  =  .50/.80

1 - R  = 5/8

1 - 5/8 = R

3/8   = R = .375  = 37.5%  = the reduction from Tues. to Wed.

Proof of this...let Monday's price  = 100

Tuesdays price  = .80 * 100   = 80

Wed price  = 80 (1 - R)  = 80 (1 - .375)  = 50 =  half of  Mon. price

Answer:

620 to 651

Step-by-step explanation:

21x31=651

210x31=620

Step-by-step explanation:

if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august

august has 31 day's so

20/21×31=

=29.524

Answer:

9

Step-by-step explanation:

the given expression can be re-written:

[tex]\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};[/tex]

then

[tex]\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.[/tex]

Answer:

75.35

Step-by-step explanation:

55 (1.37) = 75.35

Answer: x = 3

Step-by-step explanation:

Answer:

The slope (m) = 2/3

Step-by-step explanation:

Taking any two points on the line:

(0,-2) & (3,0)

Using the slope formula to calculate the slope (m):

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

= (0-(-2))/(3-0)

= (0+2)/3

= 2/3

Hence, the slope (m) is 2/3.

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

(-1;-3)

Step-by-step explanation:

[tex]\left \{ {{4(2x+y)=4*(-5)} \atop {3x-4y=9}} \right. \ => \ \left \{ {{8x+4y=-20} \atop {3x-4y=9}} \right. \ => \ \left \{ {{11x=-11} \atop {2x+y=-5}} \right. \ => \ \left \{ {{x=-1} \atop {y=-3}} \right.[/tex]

Answer:

So I added, 1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5, which equals 50.5.

Then, I divided 50.5 by 9 since that is how many number sections there are.

Therefore, I get 5.61.

Answer:

Not a possible math equation, sorry.

Answer:

<ABC = 70 degrees

<AMC = 60 degrees

< AMB = 60 degrees

Step-by-step explanation:

<ABC = 180-110 = 70 degrees

<AMC = 2x + 60 = 180

2x = 180 - 60

x = 120/2

x = 60

<AMB = 180/3 = 60

Answer:

it [tex]4^{3}[/tex]

Step-by-step explanation:

i took a test

Answer:

65 mph = 95.3 feet per second

Step-by-step explanation:

Sine

Answer:

it is the last one {-4, -1, 0, 1, 2}

Step-by-step explanation:

Answer:

It is SAS (side - angle - side)

Step-by-step explanation:

Both BCA and DCE cross from side then the angle and lastly side.

Step-by-step explanation:

1

3 x2+52x=1440

Step 2: Subtract 1440 from both sides.

1

3 x2+52x−1440=1440−1440

1

3 x2+52x−1440=0

For this equation: a=0.3333333333333333, b=52, c=-1440

0.333333x2+52x+−1440=0

Step 3: Use quadratic formula with a=0.3333333333333333, b=52, c=-1440.

x=

−b±√b2−4ac

2a

x=

−(52)±√(52)2−4(0.333333)(−1440)

2(0.333333)

x=

−52±√4624

0.6666666666666666

x=24,−180

Answer:

x=24,−180