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.
Scott makes $12 per hour babysitting and $8 per hour working at the grocery store. He will need to make
at least $600 to buy a new computer
Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.
For babysitting, he earns $12 per hour.
For working at the grocery store, he earns $8 per hour.
So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.
He needs to make at least $600 to buy a new computer.
Therefore, we can write the equation:
12x + 8x ≥ 600
Combine the like terms:
20x ≥ 600
Now, solve for x by dividing both sides of the inequality by 20:
x ≥ 600 / 20
x ≥ 30
Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
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Complete question:
"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"
Rabbitton has 34 rabbits for every 8 gardens. Rabbit Ville has 48 rabbits for every 14 gardens. Which town has more rabbits per garden?
Rabbitton: 34 / 8 = 4 1/4
Rabbit Ville: 48 / 14 = 3 3/7
Rabbitton has more rabbits per garden
A seat for all games,events,concerts,and performances cost $900 there are 48 events in total but Alex only attended 14 how much did he pay.
solve for x in the triangle!!!
Answer:
13
Step-by-step explanation:
Combine all like terms:
14x-2
Since there are 180 degrees in a triangle, all three angles are going to equal 180.
14x-2=180
Add 2
14x=182
Divide by 14
x=13
discount is calculated on which price
Answer:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price
Which equation is correct?
792 × 5 = 700 × 5 + 90 × 5 + 2
792 × 5 = 700 + 90 × 5 + 2 × 5
792 × 5 = 700 × 5 + 90 × 5 + 2 × 5
792 × 5 = 7,000 × 5 + 900 × 5 + 20 × 5
Answer:
what's the correct number supposed too equal?
Answer:
I don't see a Solution to this equation
Alex and Maria went out for dinner. The bill was $25.80. They leave a 20% tip. How much of a tip will they leave?
Answer:
$5.16
Step-by-step explanation:
$25.80 x 20/100
Answer:
Step-by-step explanation:
Answer:
Tip Total: $ 5.16
Tip Each Person: $ 2.58
Total (Bill + Tip): $ 30.96
Total Each Person: $ 15.48
The sides of a triangle are in the ratio 3, 4, 5. State whether the triangle is right angled or not.
Answer:
If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.
Step-by-step explanation:
In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.
We are given the sides of a triangle whose ratio is 3:4:5.
Considering the sides to be 3x,4x,5x.
Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.
We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.
So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.
Squaring the base side 4x, we get:
(4x)2=16x2 …….(1)
Similarly, squaring the height side 3x, we get:
(3x)2=9x2 …….(2)
Squaring the hypotenuse side 5x, and we get:
(5x)2=25x2 …….(3)
Taking the sum of (1) and (2):
16x2+9x2=25x2, which is equal to the equation (3).
That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.
Answer:
it is a right triangle
Step-by-step explanation:
If the triangle is a right triangle, it will meet the Pythagorean theorem
a^2 + b^2 = c^2
3^2+4^2 = 5^2
9+16=25
25=25
This is true so it is a right triangle
y = –15x + 375.
Graph the linear equation.
Answer:
the required graph is in the attachment.
Step-by-step explanation:
Athlete A rode her bike 2.5 miles. Athlete B rode her bike 3 miles. How many more feet did Athlete B ride than Athlete A?
two rays that have a common endpoint and form a line
Answer: Overview. An angle is the union of two rays with a common endpoint. The common endpoint of the rays is called the vertex of the angle, and the rays themselves are called the sides of the angle.
Step-by-step explanation: just have done with before! i am really good at it
What has she done wrong?
Answer:
see explanation
Step-by-step explanation:
Her error is in squaring (2y)²
She has (2y)² = 2y²
when it should be 2y × 2y = 4y²
Then
(2y)² = 6² + 8²
4y² = 36 + 64
4y² = 100 ( divide both sides by 4 )
y² = 25 ( take square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:never touch
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
Using these points, we can determine that the equation is as follows:
Line B: y = -2/3x + 7/3
And since Line A has the same slope, it would make Line A's equations like this:
Line A: y = -2/3x - 11/3
This makes these equations Parallel to each other because they have the same slope with different y-intercepts.
which of the following numbers closest to 6? 34, 37, 38, 33.
(Will give BRAINLIST to best answer)
Angle QRS is a straight line. The measure of angle 2 is 60 degrees more than the measure of angle 1
Answer:
Angle 2 = 120 degrees, Angle 1 = 60 degrees
Step-by-step explanation:
Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.
x+x+60=180
2x+60=180
2x=120
x=60
Angle 1 = 60
Angle 2 = 60+60=120
Please help with this dilation
Answer:
k= 1/4 m=16
Step-by-step explanation:
7 over 28 is 1/4 and 4 times 4 is 16
In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts
In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.
Consider some possible orderings of the deck:
• If the 3 of spades is the 14th card, then the deck looks like
[all 13 ♥] … 3 ♠ … [all other 38 cards]
There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.
• If 3 ♠ is the 15th card, then the deck looks like
[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]
and there would be 14! × 37! ways of arranging the cards in this order.
There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is
[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]
There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is
[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]
find the sum
(2x+6)+(4x-12)
HELp
Answer:
6x-6
Step-by-step explanation:
(2x+6)+(4x-12)=2x+6+4x-12
=6x-6
help me please question in picture
Answer:
the answer is 3x as that is the slope
Answer:
3
Step-by-step explanation:
yeah < 3
A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 5 more students than her second class. In total, she teaches 65 students.
The equation 2x + x + (x + 5) = 65 represents this scenario, where x is the number of students in her
second class.
How many students are in her second class?
Answer: 15 students in her second class.
Step-by-step explanation:
Let A, B, and C stand for the number of students in each class. See the attached table.
The column labelled "Students" is formed by assinging B to the second class and finding how the other two classes relate to B. Class A has twice as many students as class B, so A = 2B. Class C has 5 more students than B, so C = B+5.
The total students amount to 65, whcih is the sum of A, B, and C:
A + B + C = 65
Substitute the values of A and C into this equation:
A + B + C = 65
2B + B + (B+5) = 65
4B + 5 = 65
4B = 60
B = 16
Use B=16 and solve for the other two classes (dotted blue line).
Find the area of the figure below, formed from a triangle and a parallelogram
Answer:
32 square millimeters
Step-by-step explanation:
Parallelogram area formula => B x h
Base = 6 mm
Height = 4 mm
Area = 24 mm^2
Triangle area formula B x h x 1/2
Base = 8 mm
Height = 2 mm
Area = 8 mm^2
Total area = 24 + 8 = 32 mm^2
The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
As per the given parallelogram and a triangle,
The bigger side of parallelogram = 6 + 2 = 8mm
Smaller side = 6mm
The perpendicular distance between the sides of the parallelogram = 4mm
The base of the triangle = 2mm
Height of triangle = 4 mm
Therefore, the complete area ⇒
(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²
Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".
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The Picture is attached below
Answer:
Step-by-step explanation:
HELP 35 POINTS
State the domain and range to each of these functions and determine function or not.
Answer:
see below
Step-by-step explanation:
2.x<1, y=all real numbers
3. -1<=x<=3 -3<=y<=2
4. x= all real numbers, y>-2
5. 7<=x<5, 3<=y<1
6.x>-4, y>-1
i need help fast please
Solve this and show steps
4.5×8-(0.4+9.6-(3.6-1.8))
Answer:
27.8
Step-by-step explanation:
You need to do brackets first
3.6-1.8 = 1.8
Then substitute
4.5 x 8- (0.4 + 9.6- 1.8)
0.4+9.6-1.8=8.2
4.5 x 8 - 8.2 =27.8
help me please.........
Answer:
the answer is 10,700 :)
Step-by-step explanation:
Umm so I'm confused
The question says
5x - 2y = 24
x + 2y = 12
Answer:
Step-by-step explanation:
5x-2y=24
x+2y=12
add the two equations
(5x-2y)+(x+2y)=24+12
6x=36
x=6
Plug in x=6 into any of the two equations
5(6)-2y=24
30-2y=24
-6= -2y
y= 3
x=6
y=3
(6,3)
Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.
A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P
Answer:
A. 10A+10P+54
Step-by-step explanation:
8+6(1/2 +5) divided by 2 plz i need help ill give u brainlyest (plz show how to do it as well)
Answer:
24.5
Step-by-step explanation:
8+6(1/2 +5) divided by 2
grace read 4 days a this week. She reads 10 minutes each day. if her teacher wants her to read a total of 60 minutes, how many more minutes does grace need to still read?
Answer: 20 more minutes
Step-by-step explanation:
Grace has already read 40 minutes due to her reading 4 times a week and 10 minutes each time(4x10=40). She has 20 more minutes to read as there as 60 minutes in a hour
Grace needs 20 minutes more to read.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Grace read 4 days a this week.
In one day she read= 10 minutes
So, in 4 days she read = 4 x 10
= 40 minutes.
So, total time taken = 60 minutes.
Thus, she needs to read (60 - 40) = 20 minutes.
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Solve this. c+5.96=6.76
Answer:
c=0.8
Step-by-step explanation:
Step 1: Subtract 5.96 from both sides.
c+5.96−5.96=6.76−5.96
c=0.8