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
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
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
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 3Step-by-step explanation:
Use of formula: (a^b)^c = a^(bc)Solution
27^(1/3) =(3^3)^(1/3) =3^(3*1/3) =3This 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 3PART 1 40 points+brainless
i need help with these 5 questions
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
What is the simplest form of 4a + 8b/12
Step by step pls
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?
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
Answer:
the answer is -7
Step-by-step explanation:
hope this helps
Answer:
-7
Step-by-step explanation:
(-14) + (-7) = ?*
Your answer
Answer:
-21
Step-by-step explanation:
What is the slope of this line?
A. 3
B. -1/3
C. -3
D. -2
E. 4
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
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
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.
Answer:
I think it's B ////////////
20=-7+1/2x what are the values
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.
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
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%
Answer:
c
Step-by-step explanation:
Soft 2 1/3 - 3/4 equals
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
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.
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
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? *
Answer: add 2
Step-by-step explanation:
There are 3 consecutive integers that have a sum of 36. What are the integers?
Answer:
11, 12, 13Step-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.
Answer:
y = 1638
Hope that helps
the sum of three consecutive even numbers is 114. what is the smallest of the three numbers?
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.
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
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
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?
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)
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?
Answer:
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Step-by-step explanation:
yfid8yydyofoyf0
HELP THiS IS DUE In 30 MINUTES
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)?
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