The original price was 600 if i'm correct
What is the value of the expression “eight more than three time the difference of four and a number” when n=3?
Hey there!!
Let's take the number as ' n '
Three times the difference of a four and number.
... 3 ( 4 - n )
Eight more than the expression.
... 8 + 3 ( 4 - n )
' n ' is given as ' 3 '.
Plugging in :
... 8 + 3 ( 4 - 3 )
... 8 + 3 ( 1 )
... 8 + 3
... 11
The required answer is 11.
Hope my answer helps!!
the game room of the youth center needs carpet. the room measures 3 feet by 2 feet on the blueprint. if the scale on the blueprint is 1 foot to 5 yards, what is the actual area of the game room?
The actual area of the game room is 150 square yards.
Explanation:To find the actual area of the game room, we need to convert the dimensions on the blueprint to actual measurements. The scale on the blueprint is 1 foot to 5 yards, so we can convert the length and width of the room by multiplying by 5. The room measures 3 feet by 2 feet on the blueprint, so the actual dimensions are 3 feet x 5 yards and 2 feet x 5 yards. Thus, the actual area of the game room is (3 feet x 5 yards) x (2 feet x 5 yards), which simplifies to 15 yards x 10 yards or 150 square yards.
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8x + 2 – 6 = 4x +8 +3x
Is there no answer, many answers, or only one answer?
Please show work.
in the number 2.348 the underlined digit is 3 what does it round to if its in the tenths place
I assume the underlined digit tells you to round off to that place. In this case, the 3 is in the tenths place, so you need to round off 2.348 to the nearest tenth.
2.348
The 3 is in the tenths place. If you are asked to round off to the nearest tenth, then first, drop the digits to the right of the 3. Now you have 2.3, but we need to look at the next digit in the original number. The original number was 2.348, with a 4 to the right of the 3. Since 4 is less than 5, you just keep the rounded number as 2.3.
Answer: 2.3
90 is 37.5% of what number?
90 is approximately 37.5 percent of 240.
To find the number that 90 is 37.5% of, we can set up the following proportion:
90 is to x as 37.5 is to 100
This can be expressed as:
90/x = 37.5/100
To solve for x, we can cross-multiply:
37.5 * x = 90 * 100
Now, divide both sides of the equation by 37.5 to isolate x:
x = (90 * 100) / 37.5
Simplifying the expression on the right side:
x = 9000 / 37.5
Dividing 9000 by 37.5:
x ≈ 240
37.5% of 240 is 90.
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90 is 37.5% of 240.
Part = (Percentage / 100) * Whole
In this case, we are given the part (90) and the percentage (37.5%), and we need to find the whole.
Whole = Part / (Percentage / 100)
Substituting the given values:
Whole = 90 / (37.5 / 100)
Whole = 90 / 0.375
Whole = 240
So, 90 is 37.5% of 240.
What is the value of x? 3/4x + 5 − 1/2x = 3
A. −8
B. −1/2
C. 1/2
D. 8
[tex]\dfrac{3}{4}x+5-\dfrac{1}{2}x=3\qquad|\text{multiply both sides by 4}\\\\\not4^1\cdot\dfrac{3}{\not4_1}x+4\cdot5-\not4^2\cdot\dfrac{1}{\not2_1}x=4\cdot3\\\\3x+20-2x=12\\\\(3x-2x)+20=12\qquad|\text{subtract 20 from both sides}\\\\x=-8[/tex]
Answer: A. -8What is 2 6/25 minus 1 1/10 in simplest form
Answer:
1 7/50
Step-by-step explanation:
2 6/25= 2 12/50
1 1/10= 1 5/50
2 12/50-1 5/50= 1 7/50
Step by Step:
[tex]2\frac{6}{25} - 1\frac{1}{10}[/tex]
Subratact whole numbers 2-1: 1
Combine fractions [tex]\frac{6}{25} - \frac{1}{10}[/tex]: [tex]\frac{7}{50}[/tex]
1 + /frac{7}{50}
Answer:
A = 1/frac{7}{50}
Notes:
N/A
there are approximately 4021/4 meters around a typical running track sandra has challenged herself to run 10 maps a day for 5 days how many meters will sandra run is she meets her challenge
Total distance of a typical running track = [tex]402 \frac{1}{4} meters[/tex].
Let us convert it into impoerper fraction first, we get
[tex]\frac{402\times4+1}{4}=\frac{1609}{4}meters.[/tex]
Total number of maps in a day = 10 maps.
Number of days of running = 5 days.
Total number of maps of 5 days = 10 × 5 = 50 maps.
Total number of meters in 50 maps = [tex]50\times\frac{1609}{4}=\frac{80450}{4}=20112\frac{1}{2}\ meters.[/tex].
Therefore, [tex]20112\frac{1}{2}\ meters[/tex] will sandra run is she meets her challengeGeorge claims that he is 3 years less than 3 times as old as his niece Pam will be one year from now. Let p= Pam’s age now. Write an expression to represent George’s age. Then simplify the expression.
G = George's age
G = 3(P+1) - 3
G = 3P + 3 - 3
G = 3P
A shopper bought a 12-pound bag of oranges for $18.75 what is the unit price per ounce
Convert 12 pounds to ounces which is 192 ounces.
Divide the price by the ounces. That would get $0.09765625 rounded to $0.10 per ounce.
The unit price per ounce will be equal to $0.10.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
A shopper bought a 12-pound bag of oranges for $18.75 what is the unit price per ounceThe unit price per ounce will be calculated as:-
1 pound = 16 ounces
12 pounds = 12 x 16 = 192
Cost of 192 ounces = $18
Cost of unit ounce = 18 / 192
Cost of unit ounce = 0.095156 ≅ $0.10
Therefore the unit price per ounce will be equal to $0.10.
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joe can run the 440 yard dash in 55 seconds, and Jack can run it in 88 seconds. How great a handicap must joe give Jack for the boys to finish the race at the same time?
88-55=33
33 second handicap
Joe must give Jake a 33 second catch up time period
The table shows the side lengths and perimeters of four squares. Side Length (x) Perimeter (y) 4.5 18 8.5 34 10.25 41 13.75 55 Which equation represents the relationship between the side length, x, and the perimeter, y?
Answer:
The equation will be: [tex]y=4x[/tex]
Step-by-step explanation:
Side lengths[tex](x)[/tex] ⇒ 4.5 8.5 10.25 13.75
Perimeter [tex](y)[/tex] ⇒ 18 34 41 55
First we will pick any two ordered pairs in form of point like [tex](x,y)[/tex]. So, here [tex](x_{1}, y_{1})= (4.5, 18)[/tex] and [tex](x_{2}, y_{2})= (8.5, 34)[/tex]
Now, the slope will be: [tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{34-18}{8.5-4.5}=\frac{16}{4}=4[/tex]
So, the equation using the point-slope form will be..............
[tex]y-y_{1}=m(x-x_{1})\\ \\ y-18=4(x-4.5)\\ \\ y-18=4x-18\\ \\ y=4x[/tex]
Thus, the equation that represents the relationship between the side length[tex](x)[/tex] and the perimeter[tex](y)[/tex] will be: [tex]y=4x[/tex]
Answer:
y=4x
Step-by-step explanation:
Which of the following describes the solution set for |-4+5x|=16? A{4}. B{4, -4}. C {4, -12/5}. D{-12/5}
Answer:
C: {4, -12/5}
Step-by-step explanation:
Let's actually solve |-4+5x|=16: Divide all 3 terms by 5. Then: |-4/5 + x| = 16/5.
If we were to graph this, the center (on a number line) would be at -4/5. Now if we add 16/5 to -4/5, we get 12/5, the larger solution; if we subtract 16/5 from -4/5, we get -20/5, the smaller solution, equivalent to -4. Correct answer choice is C.
This corresponds to option C.
The solution set for the absolute value equation |-4+5x|=16 can be found by considering both the positive and negative scenarios since an absolute value represents the distance a number is from zero on the number line, without regards to direction (positive or negative).
To find the solution set, we need to split the absolute value equation into two possible linear equations:
4 - 5x = 16-4 + 5x = -16Solving the first equation gives us:
5x = 16 + 45x = 20x = 4Solving the second equation gives us:
5x = 16 - 45x = 12x = 12/5x = 2.4However, x = 2.4 does not make sense in the context of our original problem, because we are looking for the negative solution when we consider the equation -4 + 5x = -16. The correct step is:
5x = -16 + 45x = -12x = -12/5Therefore, the correct solution set is {4, -12/5}, which corresponds to option C.
A marble is drawn from a random bag that contains 3green 4yellow 5 blue and 8pink marbles what’s the probability that the marble drawn will be green or blue?
Answer:
Green: [tex]\bf~\frac{3}{20}[/tex]
Blue: [tex]\bf~\frac{5}{20}[/tex] or [tex]\bf~\frac{1}{4}[/tex]
Combined probability of a green or a blue: [tex]\bf~\frac{8}{20}[/tex] or [tex]\bf~\frac{2}{5}[/tex]
Step-by-step explanation:
The probabilty of you getting a marble of a given colour is the amount of marbles of the given colour divided by the total amount of marbles.
By using that rule, we get a probabilty o [tex]\frac{3}{20}[/tex] for a green marble, a probabilty of [tex]\frac{1}{4}[/tex] for a blue marble, or if we sum those two and find the probabilty of getting a marble that is either green or blue, we get [tex]\frac{2}{5}[/tex]
[tex]\frac{3}{20} + \frac{5}{20} = \frac{8}{20} = \frac{4}{5}[/tex]
Hope it helped,
BioTeacher101
The perimeter of a triangle is 28 feet. One side of the triangle is 5 feet longer than the second side. The third side is 8 feet longer than the second side. Find the length of each side.
side one is 5 side two is 10 and the third side is 13. 28 is not divisible by three so if one side i 5 ft longer and another side is 8 ft longer then you add them 5+8=13 then subtract 13 from the perimeter 28-13=15 then divide 15 by 3 and get 5 5 5. add 5 (5+5) (5+8).
The lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.
Let's assume the second side of the triangle has a length of x feet.
According to the given information, the first side of the triangle is 5 feet longer than the second side, so its length would be x + 5 feet.
Similarly, the third side is 8 feet longer than the second side, so its length would be x + 8 feet.
The perimeter of a triangle is calculated by adding the lengths of all three sides, so we can write the equation:
x + (x + 5) + (x + 8) = 28
Now let's solve this equation to find the value of x:
3x + 13 = 28
3x = 28 - 13
3x = 15
x = 15 / 3
x = 5
So, the second side of the triangle has a length of 5 feet.
Using this value, we can find the lengths of the other two sides:
First side: x + 5 = 5 + 5 = 10 feet
Third side: x + 8 = 5 + 8 = 13 feet
Therefore, the lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.
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(500+n)-50 times 5=c
Hey there!!
Given equation :
... { ( 500 + n ) - 50 }5 = c
... { 500 + n - 50 }5 = c
... { 450 + n }5 = c
... 2250 + 5n = c
Hope my answer helps!!
The heart of an elephant at rest, will beat an average of 1320 beats in 60 min. What is the rate in beats per minute?
The answer is 23 beats
what is the result of converting 2.3 miles into yard? remember that 1 mile =1760 yards.
You and your mom enter a drawing with 3 different prizes. A total of 8 people entered the drawing, and prizes are awarded randomly.There are 336 ways to award the prizes.What is the probability that you win first prize and your mom wins second prize?
A. 8/336
B. 1/8
C. 6/336
D. 1/336
Answer: [tex]\frac{6}{336}[/tex]
Step-by-step explanation:
Given: The Number of different prizes = 3
The number of people entered the drawing room = 8
The number of ways to select for 3 prizes, such that you win first prize and your mom wins second prize = You × Mom × Rest of people
[tex]1\times1\times(8-2)=1\times6=6[/tex]
The total number of ways to award the prizes = 336
Therefore, the probability that you win first prize and your mom wins second prize=[tex]\frac{6}{336}[/tex]
I need to know what 1608 divided by 6 is plz
1608 divided by 6 is equal to the quantity of 268.
We can verify this by multiplying 268 by 6.
268 * 6 = 1608.
16/6=2 Ramander 4
4 bring the 0 down is 40.
40/6=......... If you need it the long way.
short way
1608/6=268
Diana sold 336 muffins at the bake sale bob sold 287 muffins. Bob estimates that he sold 50 fewer muffins than Diana. How did he estimate? Explain
he subtracted both numbers and got 49
The perimeter of a garden is 42 feet. The length is 15 feet, What is the width
Step-by-step explanation:
P = 2l + 2w --> w = 1/2·P - l = 1/2·42 - 15 = 6 feet
The width of the rectangular garden will be 6 feet.
What is the perimeter of the rectangle?The rectangle is defined as a quadrilateral having four sides and the angle suspended by all the sides is equal to 360 degrees. The perimeter is the sum of all the sides of the rectangle.
Given that the perimeter of a garden is 42 feet. The length is 15 feet.
The width of the rectangular garden will be calculated as:-
P = 2l + 2w
w = 1/2·P - l
w= 1/2·42 - 15
w= 6 feet
Therefore, the width of the rectangular garden will be 6 feet.
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How many $1 bills are the same as one $100 bill?
The number of the bills will be 100 to equate to $100 bills.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a $1 bills are the same as one $100 bill. the number of the bills will be calculated as:-
Number = 100 x 1 = 100
Therefore, the number of bills will be 100 to equate to $100 bills.
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I know the answer to the problem 94x27=2538 but can't figure out how to show my work in core math.
94*27=2538
90*20+4*7+20*4+90*7=2538
1800+28+80+630=2538
2538=2538
what is the result of converting 2.3 miles into yards
What is the solution of 4+sqrt5x+66=x+10
The solution for 4+√5x+66=x+10 is x=3 (option 2)
How to solve ?Given equation: 4+sqrt5x+66=x+10
Subtract 4 from both sides;
[tex]\sqrt(5x+66) = x+6[/tex]
Square both sides:
[tex]5x+66 = (x+6)^2[/tex]
Simplify further, we get:
[tex]5x + 66 = x^2 + 12x + 36[/tex]
[tex]x^2 + 12x - 5x + 36 - 66 = 0[/tex]
[tex]x^2 + 7x - 30 = 0[/tex]
Factor the equation to get:
[tex](x + 10)(x - 3) = 0[/tex]
[tex]x - 3 = 0[/tex]
[tex]x = 3[/tex]
Therefore, the solution of 4+√5x+66=x+10 is x=3 (option 2)
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Complete question:
What is the solution of 4+√5x+66=x+10?
1.x=-10
2.x=3
3.x=-10 or x=3
4.no solution
Keiko has a total of $ 5200 comma which she has invested in two accounts. The larger account is $ 900 greater than the smaller account. (Let x be the amount of money in the larger account and y be the amount of money in the smaller account.)
Keiko has a total of $5200
x is the amount of money in larger account
y is the amount of money in smaller account
x - y = $900
and x + y = $5200
This creates two simultaneous equations:
x - y = $900 ... (i)
x + y = $5200 ... (ii)
Adding (i) and (ii) :
2x = $6100 , x = $3050
y = x - $900 = $3050 - $900 = $2150
The amount of money in larger account (x) = $3050
The amount of money in smaller account (y) = $2150
To solve the problem, we set up and solved a system of equations using the given information. We find that Keiko has invested $2150 in the smaller account and $3050 in the larger account.
Explanation:Keiko has $5200 that she invested in two accounts. We're told the larger account is $900 more than the smaller one. Since we let x represent the amount of money in the larger account and y represent the amount of money in the smaller account, we can establish the following system of equations:
x + y = $5200 x = y + $900
Substituting the second equation into the first, we get:
(y + $900) + y = $5200
Solving for y from this equation, we obtain y = $2150, representing the smaller account. Substituting y into the original second equation, we find x = $3050, which is the larger account. Hence Keiko has $2150 in the smaller account and $3050 in the larger account.
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is square meters a type of surface area
Yes square meters is a type of surface area.
Describe how you can use make a ten strategy to find the sum 7+9.
Help please 2 grade,
To find the sum of 7+9 using the make a ten strategy, start with the larger number, add 1 to it to make it 10, subtract 1 from the other number, and then add the resulting numbers together.
Explanation:Using the make a ten strategy to find the sum 7+9:Start with the larger number, which is 9.Add 1 to make it 10.Subtract 1 from the other number, which is 7. Now it becomes 6.Add the two new numbers: 10 + 6 = 16.So, the sum of 7 + 9 is 16.
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Please help me answer this question and show work (see attached)
5.6 * (7 / 5) = 7.84