On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?

Answers

Answer 1

Answer: Number of 5-point question = 4

Number of 2-point questions =8

Number of 4-point question = 16

Step-by-step explanation:

Let x = Number of 5-points question.

then, Number of 2- point question = 2x

Also, Let y = Number of 4-point question.

Now, Total question : x+y+2x =28

⇒ 3x+ y =28    (i)

Total marks = 5x + 2 (2x)+4=100

⇒ 5x+4x+4y=100

⇒ 9x+4y=100     (ii)

Multiply 3 on both sides of (i), we get

9x+3y = 84    (iii)

Subtract (iii) from (ii), we get

y= 16

Put this in (i0, we get

3x+(16)=28

⇒ 3x = 12

⇒ x=4

Now, Number of 5-point question = 4

Number of 2-point questions = 2(4)=8

Number of 4-point question = 16

Answer 2

Answer

Answer: Number of 5-point question = 4

Number of 2-point questions =8

Number of 4-point question = 16

Step-by-step explanation:

Let x = Number of 5-points question.

then, Number of 2- point question = 2x

Also, Let y = Number of 4-point question.

Now, Total question : x+y+2x =28

⇒ 3x+ y =28    (i)

Total marks = 5x + 2 (2x)+4=100

⇒ 5x+4x+4y=100

⇒ 9x+4y=100     (ii)

Multiply 3 on both sides of (i), we get

9x+3y = 84    (iii)

Subtract (iii) from (ii), we get

y= 16

Put this in (i0, we get

3x+(16)=28

⇒ 3x = 12

⇒ x=4

Now, Number of 5-point question = 4

Number of 2-point questions = 2(4)=8

Number of 4-point question = 16

Step-by-step explanation: got the answer from the last person who answered and they are correct


Related Questions

Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3 ? (1 point) 27 to the power of 1 over 3 equals 9 to the power of 3 to the power of 1 over 3 equals 9 to the power of 3 multiplied by 1 over 3 equals 9 27 to the power of 1 over 3 equals 3 to the power of 9 to the power of 1 over 3 equals 3 to the power of 9 multiplied by 1 over 3 equals 3 27 to the power of 1 over 3 equals 3 to the power of 4 to the power of 1 over 2 equals 3 to the power of 4 multiplied by 1 over 2 equals 9 27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Answers

Step-by-step explanation:

27^1/3

=(3^3)^1/3

=(3^3)×1/3

=3, so your final answer is D.)27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Or

27^1/3=?

To find the answer, I will use one formula from Laws of Exponent

a^p/q

=q√a^p

Apply the same steps to 27^1/3

27^1/3

=³√27¹

=³√27

=3. Hope it help!

Answer:

27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Step-by-step explanation:

Use of formula: (a^b)^c = a^(bc)

Solution

27^(1/3) =(3^3)^(1/3) =3^(3*1/3) =3

This is matching the last answer option

27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

PART 1 40 points+brainless
i need help with these 5 questions

Answers

1)   1/243 (Fraction)

2)   Equal to 1

3)   1/x^7 (1 over x, x to the power of 7)

4)   4

5)   Equal to 1

Hope I helped

Which of the following figures has 90 rotation symmetry?


a oval
b triangle
c circle
d rectangle

Answers

It would be a rectangle

What is the simplest form of 4a + 8b/12​
Step by step pls

Answers

Answer:

4a + 2b/3

Step-by-step explanation:

focus on 8b/12 first:

factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3

then, go back to 4a:

4a is in its simplest form, it can't be factor

therefore, plus 4a and 2b/3 = 4a + 2b/3

Which equation has the same solution as 10x-x+5=4110 x − x + 5 = 41?

Answers

Answer:

d

Step-by-step explanation:

The equation having same solution as linear equation 10x -x + 5 =41 is equation: 9x +5 = 41

What is an linear equation in one variable?

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.

Given equation 10x -x + 5 =41

⇒ (10-1) x = 41-5

⇒9x = 36

⇒ x= 36/9 = 4

From given options :

1. 10x + 5 =41⇒ 10x = 36 ⇒ x = 36/10 = 3.6

2. 10x - 5 +x = 41 ⇒ 11x = 41+5⇒ 11x = 46 ⇒ x = 46/11

3. 9x = 46 ⇒ x = 46/9

4. 9x +5 = 41⇒ 9x = 41-5 = 36 ⇒ 9x = 36 ⇒ x = 36/9 = 4

Therefore, the equation 9x +5 = 41 has same solution x= 4 as the given solution.

Also, learn more about linear equation from the link below:

https://brainly.com/question/24145091

#SPJ2

What is the solution to this equation? 2 x + 3 = x − 4

Answers

Answer:

the answer is -7

Step-by-step explanation:

hope this helps

Answer:

-7

Step-by-step explanation:

(-14) + (-7) = ?*
Your answer

Answers

Answer:

-21

Step-by-step explanation:

Answer:
-21

Explanation
Um justtttt um it’s the answer

What is the slope of this line?

A. 3
B. -1/3
C. -3
D. -2
E. 4

Answers

Answer:

-3

Step-by-step explanation:

Pick two points on the graph, lets go with (0, 4) and (1, 1)

y = mx + b

m is the slope and to figure it out use below formula

m = (y₂ - y₁) / (x₂ - x₁)

  = (1 - 4) / (1 - 0)

  = -3 / 1

  = -3

Answer:

C. -3

Explanation:

Given problem;

 To solve for the slope of the line;

The slope of a line is the vertical distance to the horizontal displacement on a line.

  Slope  = [tex]\frac{Vertical distance}{horizontal displacement}[/tex]

For lines such as this, we use the formula below;

                        Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

To find the slope reference the image attached;

     point 1 (0,4)      x₁  = 0   y₁  = 4

     point 2 (2,-2)    x₂  = 2   y₂  = -2

Now input the parameters and solve;

          Slope  = [tex]\frac{-2 - 4}{2 - (0)}[/tex]   =    [tex]\frac{-6}{2}[/tex]  

          Slope  = -3

   

The slope of the line is -3

Simplify
9/17 - 8/17
A 9/17. B 1. C 0. D 17/34

Answers

Answer will be 1/17

A bucket of water is 1/2 full but it still has 3 4/6 gallons of water in it how much water do you need to fill the bucket

Answers

Answer:

7 1/3 gallons

Step-by-step explanation:

If the bucket is half full and still has half to go, you double the current contents of the bucket. 3 4/6 times 2 is equal to 7 2/6 gallons which simplifies to 7 1/3 gallons.

I don't fully understand your question though, if the question is asking how much MORE water is needed to fill the bucket, it's 3 2/3 gallons. If it's asking how much water in TOTAL it would take to fill the bucket completely, it's 7 1/3 gallons.

Answer to get points.

Answers

Answer:

I think it's B ////////////

20=-7+1/2x what are the values

Answers

Answer:

X = 54

Step-by-step explanation:

20=-7 + 1/2x

+7       +7.    

27 = 1/2x

*2      *2

x = 54

True or false. The solution to an equation in two variables such as y = 3x - 9 is the value of x that makes the equation true.

Answers

ok wait i think you are in my math class lol... this is on my quiz i just took

29. Find the measure of each angle.
E
с
(5x + 2)
3x
B

Answers

Answer:

The measure of each angle is :

3x° = 33°

(5x+2)° =57°

Step-by-step explanation:

From the diagram, angle <ABC is a right-angle triangle with a measure of 90°

This means the sum of the two angles <ABE + <CBE =90°

Given from the question :

<ABE = 3x°

<CBE = (5x+2)°

For an equation for sum of the two angles as;

<ABE + <CBE =90°

3x° + (5x+2)° = 90° ------collect like terms after opening the brackets

3x° +5x° + 2° =90°

8x°=90°-2°

8x°=88°

x°=88°/8° = 11°

Measure of the angles will be:

<ABE = 3x° = 3*11° = 33°

<CBE = (5x+2)° = (5*11° +2° ) =55°+2°= 57°

Answers are :

3x° = 33°

(5x+2)° =57°

A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
A. 333%
B. 50%
C.663%
D.200%

Answers

They won 20/30, so 100 / 30 = 3.3, then times by 20 = 66.66.

Hope this helps.

Answer:

c

Step-by-step explanation:

Soft 2 1/3 - 3/4 equals

Answers

Answer:

1 7/12

Step-by-step explanation:

Answer:

19/12 or 1 7/12

Step-by-step explanation:

-x²-8x-16=0
what is the solutions by solving by quadratic equations ​

Answers

Answer:

x = - 4

Step-by-step explanation:

Given

- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )

x² + 8x + 16 = 0 ← this is a perfect square

(x + 4)² = 0 ( take the square root of both sides )

x + 4 = 0 ( subtract 4 from both sides )

x = - 4

What is the missing table value?

4 inches to centimeters
A 2-column table with 4 rows. Column 1 is labeled inches with entries 1, 2, 3, 4. Column 2 is labeled centimeters with entries 2.54, 5.08, 7.62, question mark.

Answers

Answer:

10.16

Step-by-step explanation:

Answer:

10.16

Step-by-step explanation:

I got it right on edg 2020 (:

Which numbers round to 7.91 when rounded to the nearest hundredth? Select all that apply.
A. 7.914
B. 7.905
C. 7.901
D. 7.915
E. 7.909

Answers

Answer:

A. 7.914

B. 7.905

E. 7.909

Answer: A D AND E

Step-by-step explanation:

There the answers i took that test

Which function defines the sequence 6, 8, 10? *

Answers

Answer: add 2

Step-by-step explanation:

There are 3 consecutive integers that have a sum of 36. What are the integers?

Answers

Answer:

            11, 12, 13

Step-by-step explanation:

The consecutive integers are increasing by 1

k ← the smallest integer

k+1 ← the middle integer

k+1+1 = k+2   ← the largest integer

k + k+1 + k+2 = 36

   3k + 3 = 36

     ÷3         ÷3

    k + 1  =  12

        -1       -1  

        k  =  11

k+1 = 11 + 1 = 12

k+2 = 11 + 2 = 13

if y=198 when x=22, find y when x=182.

Answers

Answer:                

y = 1638      

Hope that helps

the sum of three consecutive even numbers is 114. what is the smallest of the three numbers?​

Answers

Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

[tex](2n)+(2n+2)+(2n+4)=114[/tex]

Solve for n. Combine like terms on the left:

[tex]6n+6=114[/tex]

Subtract 6 from both sides:

[tex]6n=108[/tex]

Finally, divide both sides by 6. Therefore, the value of n is:

[tex]n=108/6=18[/tex]

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

Given :-

Sum of three consecutive even numbers = 114

To Find :-

The smallest number .

Solution :-

Let the three consecutive even numbers be x, x + 2 and x + 4 .

[tex] \longrightarrow \rm x + x + 2 + x + 4 = 114[/tex]

[tex] \longrightarrow \rm 3x + 6 = 114[/tex]

[tex] \longrightarrow \rm 3x = 108[/tex]

[tex] \longrightarrow \bf x = 36[/tex]

Smallest number = 36

A cookie recipe calls for 4.5 cups of flour, makes 3 dozen cookies. How much flour is needed to make 6 dozen cookies?
Group of answer choices

Answers

Answer:

9 cups

Step-by-step explanation:

3 dozen of cookies : 4,5 cups

6 dozen : more

6

--- × 4,5 = 9 cups

3

help please because i am very dumb

Answers

A) 7000
B) 20000
C) 300000

Answer:

A.7,000

B20,000

c.300,000

Step-by-step explanation:

Option 1
Option 2
Option 3
Option 4
Which one is correct?

Answers

it is option 1 because that is the only one that makes sense

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?

y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 3 = y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)

Answers

Answer:

B. y - 2 = 1/3(x - 3)

Answer:

B.

Explanation:

If you actually do the math you get B

The weights of certain candles are normally distributed with a mean of 720mg and a standard deviation of 20mg. What proportion of candles weigh between 695mg and 734mg?

Answers

Answer:

ufoufoydiyd8yf86fiyxitdkydyofiyd8yfoyfoycoycoycoycoyfiyfiyfyocyiciycigxitc8txitditxt8xtix8tx8td8yd8yc8yyc8yf58d8txt7x85d85duts7td8txits

Step-by-step explanation:

yfid8yydyofoyf0

HELP THiS IS DUE In 30 MINUTES

Answers

Answer:

undefined

Step-by-step explanation:

The x coordinate of the two points are the same, while the y values are different. This means that the line is vertical. A vertical line does not have a defined slope, because the change in y divided by the change in x is dividing by zero. Therefore, the answer is "undefined"

Answer:

The slope of the line is undefined.

Step-by-step explanation:

Using the point slope formula, in the end, you will get -7 over 0. Since a zero is in the bottom, the slope is considered undefined.

What is the distance between the points (-3, 1) and (1, 3)?

Answers

Answer:

4.47

Step-by-step explanation:

a^2+b^2=c^2

2^2+4^2=c^2

4+16=c^2

20=C^2

[tex]\sqrt{20}[/tex]= [tex]\sqrt{c^2}[/tex]

4.47=c

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