Step-by-step explanation:
two consecutive numbers means that one is larger by 1 than the other number.
so, we have to choices depending on whether the first number (multiplied by 3) is the larger one, or the second number.
to show what I mean, let's start with the second number being the larger one.
we are dealing therefore with x and (x+1).
3x + (x+1) - 2 = 144
4x - 1 = 144
4x = 145
x = 145/4
this is not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution.
therefore we are checking the other approach :
we are dealing therefore still with x and (x+1). but now we multiply the other number by 3.
3(x+1) + x - 2 = 144
4x + 1 = 144
4x = 143
x = 143/4
this is still not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution either.
and now I am beginning to think you left out some important information in the question.
could it be these 2 numbers are consecutive even or consecutive uneven numbers ?
because then the difference between the both of them is 2 and not 1.
we are dealing therefore with x and (x+2). first attempt to make the smaller number the "first" number :
3x + (x+2) - 2 = 144
4x = 144
x = 144/4 = 36
ah ! now that looks different !
36 and 38 are valid solutions under the changed assumptions. and we are dealing with consecutive even numbers.
let's check :
36×3 + 38 - 2 = 36×3 + 36 = 36×4 = 144
correct.
and fun fact, if we turn this around and make the larger number the "first" number, we are still dealing with x and (x+2), but now we multiply the larger number by 3 :
3(x+2) + x - 2 = 144
4x + 6 - 2 = 144
4x + 4 = 144
4x = 140
x = 140/4 = 35
35 and 37 are also valid solutions under the new assumptions and two consecutive uneven numbers ...
so, please check what your original question (and maybe the headlines and description around it) says. and then pick the right solution.
Mr. discrete told his students if everyone in the class did at least 35 of the 40 homework assignments for second nine weeks he would add 4% to their final test if he determines the score by doubling the number of correct problems out of 50 and then adding the bonus which inequality would determine the fewest problems a student could answer correctly and still have a A?
A student must answer at least 35 of the 40 homework assignments correctly to get an A.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
To determine the fewest number of problems a student could answer correctly and still get an A, we need to set up an inequality that represents the condition for getting an A.
If Mr. Discrete determines the score by doubling the number of correct problems out of 50 and then adding the bonus, then the score for each student can be represented by the equation:
2x + 4% × 50 = 100, where x is the number of correct problems.
If the student needs to get an A, then the score must be at least 90. Therefore, we can set up the inequality:
2x + 4% × 50 ≥ 90
Substituting 4% for 0.04, we get:
2x + 0.0450 ≥ 90
Solving for x, we find:
x ≥ 35
Therefore, to receive an A, a student must complete at least 35 out of the 40 homework assignments.
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NO FILES NO LINKS ASAP
Answer: A = 117 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (9)(13) A = 117 units^2
Luisa buys a plane ticket that has an original price of $240. She used a coupon code to get 30% discount off of the original price.She is then charged a 7% tax on the discounted price
Answer:
The final cost after the discount and tax is $179.76
Step-by-step explanation:
Since the discount is 30%, she only pays 70% of the price of the ticket.
Discounted price before tax:
70% of $240 = 0.7 × $240 = $168
Now think of the price $168 as a new price.
The price is $168 which is 100% of the price. Tax is 7% of the price, so you must pay 107% of the price.
107% of $168 = 1.07 × $168 = $179.76
Answer: The final cost after the discount and tax is $179.76
A restaurant allows groups to rent a private room in the restaurant for $50. This is in addition to the cost of food which is $10 per person.
Use the Ray tool to make a graph that shows C, the total cost for a group of p people to eat in the rented private room. Graph the ray by plotting two points. The first point selected must be the endpoint of the ray. The second point can be any other point on the ray.
Answer:
See attached
Step-by-step explanation:
First, our y-intercept must be $50 because no matter how many people come, there will be the cost of the room for $50. Then, for every person that comes, the price will increase by $10. Since the y-axis is going by tens, this will look like a 1/1 slope.
The first point is at (0, 50) and you can see the rest of the ray graphed
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
a glass has a radius of 3. a rectangular tray dimensions are 36 by 24. how many glasses can fit on the tray
Answer:
24.
Step-by-step explanation:
The diameter of the glass = 3*2 = 6.
So 36/6 = 6 glasses can be fitted along the length,
- and 24/6 = 4 can be fitted along the width of the tray.
So the number of glass that can fit on the tray = 6*4 = 24.
A family wants to build a pen for their new puppy. They want the area of the pen to be more than 225 square feet.
If the width of the pen is 25 feet, what is the set of possible lengths for the pen?
The pen must have it's length from any value greater than 9 for it's area to be greater than 225 squared feet
InequalityIn Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions
Given that the area (A) must be greater than 225 squared feet, the width is 25 feet.
Assuming the pen is rectangular in shape;
A = L * W
L * 25 > 225
25L > 225
solving for L
L > 225/25
L > 9
The possible lengths for the pen are values greater than 9
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Graph the functions to find The solution.
f(x)=x^2 - 2
g(x)= 2x + 1
Answer: Look at the picture ⬇️
4 1/4-2 3/5 what is the answer to this.
Answer:
1.65
Step-by-step explanation:
Pls solve this, it’s math
And only if you know the answer pls
Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)
[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y
Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].
From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.
-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.
What is 216/162 written as an improper fraction in simplest form?
A.6/4
B.4/3
C.3/2
Answer:
4/3
Step-by-step explanation:
216 / 162
= 108 / 81
= 12 / 9
= 4 / 3
Answer:
The improper fraction is 4/3 because when you read the sentence and listen to the teacher it will tell you the answer because of your teacher giving you the answers you will get 100% on your assignment or Quiz.
Step-by-step explanation:
Brainliest Plz
i’m physically begging for someone to help i do not understand
Answer:
Step-by-step explanation:
4 ones 4 tenths plus 4 tenths
Answer:
4 8/10
Step-by-step explanation:
4x1+4x1/10+4x1/10=4+4/10+4/10=4 8/10
Adding 4 ones, 4 tenths and 4 tenths gives 4.8
To add 4 ones, 4 tenths and 4 tenths, we can combine the whole numbers and the decimal parts separately.
4 ones = 4 x 1
4 tenths = 4 x 1/10
So, 4 ones + 4 tenths + 4 tenths
= 4 x 1 + 4 x 1/10 + 4 x 1/10
= 4 + 0.4 + 0.4
= 4+ 0.8
= 4.8
Therefore, when you add 4 ones, 4 tenths and 4 tenths, the result is 4.4.
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Please help me with this question thx
Answer:
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Step-by-step explanation:
A cake measures 18 centimeters in diameter. Find how much room there is to spread frosting on the top of the cake.Complete the answer sentence. You may consider writing your answer to the hundredths place and using the calculator to help you solve.
YES I AM GIVING A BRAINLIST :D
Which of the following systems of equations has exactly one solution?
Answer:
y=10x-2x ................
A line is an undefined term because it
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Undefined Terms.
In geometry, point, line, and plane are considered undefined terms because they are only explained using examples and descriptions. Name the points, Lines, & Planes. Collinear points are points. that lie on the same line.
Answer:
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
what is the slope?
what is the y-intercept?
Proportional or not proportional?
equation?
Answer:
slope=8
y-intercept=12
equation y=8x+12
Step-by-step explanation:
not sure if it is a Proportional or not proportional?
miss tan has 20 boys and 15 girls in her English class.What percent of the student are girls?
Step-by-step explanation:
it's 42.85 percent that you can say 42 or maybe 43
Mother is M years old, and she is 4 times as old as her daughter, her age is x+8/x. how much older is the mother than her daughter, Mary?
[tex]4(x + \frac{8}{x}) - (x + \frac{8}{x}) = 3(x + \frac{8}{x}) = 3x + \frac{24}{x}[/tex]
ok done. Thank to me :>
Mr. Smith and Mr. Kelly are business partners they agreed to divide the profits in the ratio of 3 to 2 the profit amount of 24,000 how much did each person receive
Answer: Mr. Smith makes 14,400, Mr. Kelly makes 9,600
Step-by-step explanation: First add the ratio together. 3+2=5.
Then divide 24,000 into five parts, 24,000/5 = 4,800.
After getting 4,800, multiply 4,800 by 3 to get Mr. Smith's portion of the money received. 4,800 x 3 = 14,000.
And you can do the same for Mr. Kelly but use 2 instead of a 3.
4,800 x 2 = 9,600
To check your work you can add the two answers together
9,600 + 14,400 = 24,000.
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
Is 3 a divisor of 51?
Explain why it is or why it’s not.
A shortcut to tell whether a whole number is divisible by 3 is to add its digits together and see if the result is divisible by 3.
Answer:
yes 51 divided by 3 equals 17 there is no remainder
Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?
Answer:
6
Step-by-step explanation:
250 mL is 0.25 L or 1/4 L.
1 L is enough for 4 students.
A 2-L bottles is enough for 8 students.
Since 24 students is 3 times 8 students, you need 3 times a 2-liter bottle.
Answer: 3
Find the length of the third side. If necessary, write in simplest radical form.
Step-by-step explanation
Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won the race for the eighth graders. He completed the race in 20.3 seconds and knocked down 3 hurdles. If 2 seconds are added to the finishing time for each hurdle that is knocked down, what is the final time for each runner? Award 110 points to the team with the fastest time.
pls help im tired.
Answer:
My answer is Myra: 24.8s Byron: 26.3s so byron is the winner
Step-by-step explanation:
I did it on my track and field day assignment and got it right
2 1/4 x 3 2/5
show all your work
Answer:
153/20
Step-by-step explanation:
I assume you're asking
[tex]2 \frac{1}{4} \times 3 \frac{2}{5} [/tex]
So
[tex] \frac{9}{4} \times \frac{17}{5} [/tex]
=
[tex] \frac{153}{20} [/tex]
what is 120 times 1 over 100
Help,
Is the following triangle acute, obtuse, or a right triangle
Answer:
Right-as long as it has one right angle it is a right triangle. It actually can't have more than one right angle.
Step-by-step explanation:
The Theater Club would like to take a trip to the local theater to see a play. They need to pay for admission to the play, lunch at the theater, and transportation to and from the theater. Admission to the play is $3 per person, and lunch costs $6 per person. It costs $55 to charter a bus for the event. The club raised $244 for the total cost of the trip. How many people can go on the trip?
Answer:
ok
Step-by-step explanation:
try and check the denominator and cross check with the first expense made
x is an acute angle. Find the value of x in degrees. 3 sin(x) = 2. X =
Answer:
Step-by-step explanation:
square root (3)/2 = 1.732/2 = .86603
Sin(x) = 0.86603
x = sin-1(0.86603)
x = 60