Given :-
John scored 75% of the total marks .To Find :-
How many marks did he get .Solution :-
Let us say that the maximum marks for the exam was x . So he got 75% of x that is ,
[tex]\longrightarrow[/tex] Marks = 75% of x
[tex]\longrightarrow[/tex] Marks = 75/100 × x
[tex]\longrightarrow[/tex] Marks = 3/4 × x
[tex]\longrightarrow[/tex] Marks = 3x/4
Hence he scored 3x/4 marks in the test.
Sweet Treats Bakery sells gourmet cookies. If three gourmet cookies cost $7.95, then
how much will it cost to buy 10 cookies?
Answer:
$26.50
Step-by-step explanation:
7.95/3=2.65
2.65*10=26.5
Answer:
$26.50
Step-by-step explanation:
If 3 cookies are 7.95, we can do 7.95/3 to find the cost of 1 cookie.
1 cookie is 7.95/3 = 2.65.
Now, we can find the cost of 10 cookies by simply multiplying 10 to the cost of 1 cookie, which is 2.65*10 = 26.5.
10 cookies will cost $26.50.
solve the system {2x+y=8 using substitution method.
{x-y=6 using elimination method
please answer my question
Answer:
y = -4/3
x = 14/3
Step-by-step explanation:
2x+y=8
x-y=6
First of all, we need the same coefficient, so we can make both of these 2x by multiplying the second one by 2.
2x+y=8
2x-2y=12
Then we need to subtract equation 1 from 2.
3y=-4
Solve normally
y = -1.33333 / -4/3
Substitute
x - (-4/3) = 6
x = 14/3
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] \red {\mathbb{ \underline { \tt by \: elimination \: method \: s}}}[/tex]
2x+y=8________(i)x-y=6_________(ii)from equation (i):-
[tex]2x - y = 8 \\ x = \frac{8 - y}{2} [/tex]
put value of x in eq (ii)[tex]x - y = 6 \\ \frac{8 - y}{2} - y = 6 \\ \frac{8 - y - 2y}{2} = 6 \\ 8 - y - 2y = 12 \\ 8 - 3y = 12 \\ - 3y = 12 - 8 \\ - 3y = 4 \\ y = \frac{ - 4}{3} [/tex]
put value of y in eq (i)[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
now,
By elimination method:-[tex]2x + y = 8 \\ x - y = 6 \\ - - - - - - - \\ multiply \: eq \: (i) \: by \: 1 \\ and \: eq(ii) \: by \: 2 \\ \\ (2x + y = 8) \times 1\\ (x - y = 6) \times 2 \\ - - - - - - - \\2x + y = 8 \\ 2x - 2y = 12 \\ subtract \: these \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ [/tex]
put value of y in equation (i)
[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
A bag contains 10 white golds balls and 6 stripped golf balls. A golfer wants to add 112 golfs balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?
Step-by-step explanation:
10+6 = 16
since 112/16 = 7
add 7*10 white and 7*6 striped
Answer:
Alright, solve 10 + 6 = 16
Place a proportion of 10 / 16 and 6 / 16
Multiply 10 and 112, and 6 and 112, and divide both by 16
This will get you 70 / 42
70 / 42 = 10 / 6
70 * 6 = 420, 42 * 10 = 420
420 = 420
70 white golf balls, and 42 striped.
Step-by-step explanation:
Im sorry for lagging man :( i hope that helps
Ben purchased lunch today at the school cafeteria for $2.75. Before today, Ben owed $9.15 on his lunch account. How much money is in his lunch account after today?
Answer:
$6.40
Step-by-step explanation:
9.15-2.75=6.40
The volume of a rectangular prism is (x^4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x^3 + 3x^2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? 4 O X+1- X4+4x2 + 3x? +8x+4 4 X+1+ X4-4x2 + 3x2 + 8x+4 x* O x+1-2-3x2 +8 © X+1 +
Answer:
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Given :
Volume of rectangular prism
Base Area of a rectangular prism =
---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Step-by-step explanation:
Dividing the volume by the base area, you find the height to be ...
The height of the prism is
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
x⁴ + 4x³ + 3x² + 8x + 4 = (x³ + 3x²+8)h
Divide both sides by (x³ + 3x²+8)
h=(x⁴ + 4x³ + 3x² + 8x + 4)/(x³ + 3x²+8)
h=(x+1)((x³ + 3x²+8)-4)/(x³ + 3x²+8)
h=(x+1) - 4//(x³ + 3x²+8)
Hence, If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ7
Elena said the equation 9x+15=3x+15 has no solutions because 9x is greater than 3x. Do you agree with Elena? Explaining your reasoning.
Answer:
it does have a solution x=0
Step-by-step explanation:
9x+15=3x+15
6x+15=15
6x=0
x=0
Answer:
I agree.
Step-by-step explanation:
Here is my explantion:
[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]
Find the value of x and thank for answer
a 4 foot statue has a shadow of 3 feet.next to the statue is a telephone pole with a shadow of 18 feet.what is the height of the telephone pole
Answer:
c 15.9 m
Step-by-step explanation:
you are welcome
For which values of x does each expression make sense? √(-2x)^2
We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0
We know that the argument of a square root can only be a real number equal to or larger than zero.
In this case, we have the expression:
[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]
One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.
The first thing we need to do is to make the argument equal or larger than zero:
-2x ≥ 0
x ≤ 0/-2
x ≤ 0
So the given expression only makes sense for x ≤ 0
If you want to learn more about rational expressions, you can read:
https://brainly.com/question/18545256
Answer: No, the answer is All Real Numbers
Step-by-step explanation: e
Find three consecutive whole numbers such that the sum of the squares of the numbers is equal to 434
Answer:
[tex]\left \{ {{x^2+y^2+z^2=434} \atop {x-y-z=0}} \right.[/tex]
Step-by-step explanation:
Find the size of CAO
Answer:
The measure of <CAO = 21°
Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.
Answer:
N=48
Step-by-step explanation:
2^9+2^4+48=576
576 is a perfect square
The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48
The number is given as:
[tex]2^9 + 2^4 + N[/tex]
Evaluate the exponents
[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]
Add 512 and 16
[tex]2^9 + 2^4 + N = 528 + N[/tex]
The above equation means that:
The sum of 528 and N is greater than 537 (this is so because N is 2-digit i.e. the possible value of N starts from 10).The smallest perfect square greater than 537 is 576.So, the smallest value of the equation is 576.
The equation becomes
[tex]528 + N = 576[/tex]
Subtract 528 from both sides
[tex]N = 576 - 528[/tex]
[tex]N = 48[/tex]
Hence, the least value of N is 48
Read more about perfect squares at:
https://brainly.com/question/1538726
What is the measure of _____?
Answer:
95 degrees
Step-by-step explanation:
The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180
Add common terms, then subtract 10: 2x = 170
Divide by 2: x = 85
So angle F is 85 + 10, or 95 degrees.
Help! I give brainlest. Problem is in Image
Answer:
65
Step-by-step explanation:
let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.
[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]
Answer:
65
Step-by-step explanation:
9^2-4^2=65
Sketch the graph of each line by identifying the x-and y-intercepts.
Alexander and his friends are going into a restaurant. How much would it cost to buy 2 hotdogs and 40 chicken wings if each hotdog costs $4.00 and each chicken wing costs $0.50? How much would it cost to buy 22 hotdogs and 4040 chicken wings if each hotdog cost \$h$h and each chicken wing cost \$c?$c?
Please help me solve this ASAP!
Answer:
Translation 2 units up and 4 units to the left.
What is the slope of the line that passes through the points (9, 1) and (17, 2)
A: 8/15
B: 8/1
C: 1/8
D: 15/8
Answer:
C
Step-by-step explanation:
Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)
m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8
Can you help me please and thank you.
Answer:
The length is 40m
Step-by-step explanation:
Length = x
P = 2x + 2W
118 = 2x + 2(19)
118 = 2x + 38
118 - 38 = 2x
80 = 2x
80/2 = x
40 = x Length
y = amount of $ paid for the job
y + $48 = $200 total job for 3 -hours
y ÷ 3 amount paid per hour
y varies inversely with x and x= 3 when y =10. What is the value of y when x=6?
k =
y=
Answer: Y=20
Step-by-step explanation:
X is doubled from 3 to 6 meaning that y is also doubled.
Double 10 is 20 so y=20.
if anyone has mine.craft education edition, i just created a world and here the code
rail, llama, llama, cookie
:)))
cost $ 99.99 Markup rate 10 %
!!!!!!!10 POINTS TO WHO EVER ANSWER I WILL BE GIVING MORE ON THE NEXT QUESTION!!!!!!!
Answer: %0.00100010001
Step-by-step explanation:
Round 4.01 to the nearest one decimal place.
pls help me rnnn and dont u dare to put links
Answer:
g=4, h=2
Step-by-step explanation:
Answer:
[tex]g=4, h=2[/tex]
Step-by-step explanation:
First, put them together. 6g+-6 gets rid of g to leave the rest: 10h=20
Then, just divide 10h by 10 to get h alone. h=2
Plug it in 6g+8h=40
6g+16=40
-16 -16
6g=24
g=4
So the answer is g=4, h=2
Have a great day! :))
He receives 35 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 55 points for a free movie ticket.
Write and solve an inequality which can be used to determine vv, the number of visits Omar can make to earn his first free movie ticket.
Answer:
8
Step-by-step explanation:
Geometry work pls help ASAP
Answer:
3321
Step-by-step explanation:
Write the equation of the parabola with a focus of (-5,0) and directrix of x=7
Answer:
[tex]\left(y-5\right)^2=-14\:\left(x-\frac{7}{2}\right)[/tex]
Step-by-step explanation:
Answer:
x=(y-5)^2/14 +7/2
plss help, it’s pretty easy tho
Answer:
B
Step-by-step explanation:
please help me. i don't understand
Answer:
#9 the answer is 7
Step-by-step explanation:
so start with what you know. the sum of the angles in a triangle equal 180 degrees
so...
(x + 13) + (17x - 7) + 48 = 180
now just combine like terms
18x + 54 = 180
18x = 126
x = 7
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.
Answer:
whaat?
Step-by-step explanation: