Answer:
200 + 3x + 5x ≤ 720
(or simplified, 200 + 8x ≤ 720)
and x = 65
Step-by-step explanation:
x represents the number of rides
3 + 5 = 8
720-200 = 520
520/8 = 65
The inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality showed greater than and less than the relationship between variables and the numbers.
Given that the number of time operators of a popular amusement park ride spends loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes),
The inequality will be written as below,
200 + 3x + 5x ≤ 720
Here, x represents the number of rides
3 + 5 = 8
720-200 = 520
520/8 = 65
Therefore, the inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.
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What is the distance between (-4,-8) and (2,3)?
Answer:
Always computable as rightmost x value minus leftmost value: 4 - (-8) = 12
which of the following values are solutions to the inequality 9≤3x+4
Answer:
x≤5/3
So any number at 5/3 or above is a solution
Step-by-step explanation:
Subtract 4 on both sides:
5≤3x
Divide 3 on both sides
x≤5/3
So any number at 5/3 or above is a solution
Hope this helps!
Sophie decides to ride her bike also. After 3 days, she rode 114 minutes. After 8 days, she rode 304 minutes. What is Sophie's rate per day? She ridesminutes per day
Answer:
38 minutes per day
Step-by-step explanation:
Divide 114 to 3
114 ÷ 3 = 38
Divide 304 to 8
304 ÷ 8 = 38
Answer:
1 day = 38 minutes
Step-by-step explanation:
3 days = 114 minutes
=> 1 day = 38 minutes
=> 8 days = 38 x 8 minutes.
Her rate is 1 day = 38 minutes. Hoped this helped.
Camila ubicó 90 botellas en una estantería de un supermercado y de ellas eran de jugo sin azúcar.Si los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, ¿con cuál de las siguientes operaciones se calcula la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería?
Camila puso 30 botellas de cada sabor en la estantería.
Dado que Camila ubicó 90 botellas en una estantería de un supermercado, y los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, para determinar la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería se debe realizar el siguiente cálculo:
90/3 = X30 = XPor lo tanto, Camila puso 30 botellas de cada sabor en la estantería.
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Find x and y.
[tex]\\ \sf\longmapsto 2x+11=3x-9[/tex]
[tex]\\ \sf\longmapsto x=11+9[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
And
[tex]\\ \sf\longmapsto y+10=2y-40[/tex]
[tex]\\ \sf\longmapsto 2y-y=10+40[/tex]
[tex]\\ \sf\longmapsto y=50[/tex]
Step-by-step explanation:
x2x + 11 = 3x - 9
2x - 3x = -9 - 11
x = -20
[tex] \: [/tex]
yy + 10 = 2y - 40
y - 2y = -40 - 10
-y = -50
y = 50
A family drove to a resort at an average speed of 30 mph and later returned over the same road at an average speed of 50 mph. Find the distance to the resort if the total driving time was 8 hours.
Answer:
150 Miles
Step-by-step explanation:
Let's say it takes x time to get there.
X x 30=(8 - 6) x 50 (The distance is the same)
30X=400 - 50X=7 X=5 hours.
So the distance is 5 x 30=150 miles.
Please help me with this geometry work, its very confusing! Picture provided! Please help ASAP
please help! will make u brainliest
Answer:
i. Rs6,000
ii. Rs6,900
Step-by-step explanation:
i. FV = PV(1 + r)^d
FV = 40,000(1 + 0.15)^1
FV = 40,000(1.15)
FV = 46, 000
46, 000 - 40,000
Interest = Rs6, 000
ii. FV = PV(1 + r)^d
FV = 46,000(1 + 0.15)^1
FV = 46, 000(1.15)
FV = 52, 900
52, 900 - 46, 000
Interest = Rs6, 900
[tex]\huge\mathcal{♨Answer♥}[/tex]
Answer is on the attachment...
☆...hope this helps...☆
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The volume of a cube is 496cm
Work out the length of its side rounded to 1 DP
cm
Answer:
7.9
Step-by-step explanation:
Volume = side · side · side
∛496 = 7.915783219
A line includes the points (7, –7) and (11, –3). What is its equation in slope-intercept form?
What is the equation of a line (in standard form) that passes through point A(1,-4) and has a slope of 3/4?
Answer:
3x-4y=19
Step-by-step explanation:
Hi there!
We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.
y=3/4x+b
Now we need to solve for b
Since the equation passes through the point (1, -4), we can use it to solve for b
Substitute 1 as x and -4 as y.
-4=3/4(1)+b
Multiply
-4=3/4+b
Subtract 3/4 from both sides
-19/4=b
Now substitute -19/4 as b into the equation
y=3/4x-19/4
Now we have the equation in slope-intercept form, but remember, we want it in standard form
Since x and y are on the same side in standard form, subtract 3/4x from both sides
-3/4x+y=-19/4
Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)
So in order to clear the fractions and change the sign of the equation, multiply both sides by -4
-4(-3/4x+y)=-4(-19/4)
Multiply
3x-4y=19
Hope this helps!
Marty simplified the expression 2(x - 2) - 2(3) as 2x-8. Is he correct? Explain why or why not.
Answer: No
Step-by-step explanation:
It should be 2x-4 (2*×=2x and 2*2=4)
No, the simplified expression is not correct.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given expression
2(x - 2) - 2(3)
so 2(x - 2) = 2x - 2(2)
= 2x - 4
and 2(3) = 6
substitute the value
2(x - 2) - 2(3) = 2x - 4 - 6
= 2x - 10
and equation of Marty is 2x - 8
Hence the equation of marty is incorrect.
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System of equations pls help me
Answer:
(4,4)
Step-by-step explanation:
We can solve this system of equations using the elimination method.
In order to use the elimination method there must be two variables with the same coefficient. Note that the coefficients don't have to have the same sign ( eg. 6 and -6 would work ). If there are two similar variables with similar coefficients then you can add or subtract, depending on the signs of the coefficients, the two equations "eliminating" the variable. There would then be one variable left over in which you can solve for.
For this case, both equations have 7x, one negative 7 and one positive 7. When the signs are different you add the two equations. So our first step is to add the two equations
7x - 4y = -44
+ (-7x -3y = 16 )
-----------------------
Remove parenthesis
7x -4y = -44
-7x -3y = +16
------------------
0x - 7y = -28
We are left with -7y = -28.
Because there is now only one variable, we can solve for it.
-7y = -28
divide both sides by -7
y = 4
Now we want to find the value of x. We can do this by plugging in the value of y into one of the equations and then solving for x. Note that we can plug in 4 for y into either equation and solve for x and we would get the same answer.
7x - 3y = 16
y = 4
7x - 3(4) = 16
multiply 4 and -3
7x - 12 = 16
add 12 to both sides
7x = 28
divide both sides by 7
x = 4
So x = 4 and y = 4 so the solution to the system of equations is (4,4)
plz help im so confused
Answer:
i dont k if my explanation will help or not
Step-by-step explanation:
but it goes through the crosshairs in the 2nd quadrant at -10 on the y axis and up 6 on the x axis and then you go down 5 over 2
Diya used modeling to find
2
.
82
÷
3
.
She regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths. She divided all of the tenths and hundredths into three equal groups. Each group had 9 tenths and 4 hundredths. She decided that
2
.
82
÷
3
=
0
.
94
.
Which of the following is the correct conclusion about Diya's quotient of 0.94?
help mee
Answer:C
Step-by-step explanation: The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04
The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.
Given that, Diya regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths.
What are decimal numbers?Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.
According the given question, the numerical expression is
20/10 + 7/10+12/100
= 2+0.7+0.1
= 2.8
She divided all of the tenths and hundredths into three equal groups.
That is, 2.82/3
=0.94
Hence, the quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.
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x-1=0 pls answer me I'll give u 10 points
Answer: x=1
Add 1 to both sides x-1=0 x-1+1=0+1
You’re writing a novel.If you write 5 pages every 2 days,how long will it take you to write a 250 page novel?
Answer:
100 days
Step-by-step explanation:
You know that you write at a speed of 5 pages every 2 days. In order to write a 250 page novel, you're going to have to to write 250/5 = 50 *2 = 100 days.
What is the solutions of the system of equations?
SOS PLS HELP
Answer:
B) (-8, -6, 1)
There are a lot of steps and I don't want to spend the time writing it all out... sorry. :')
Hope this helps :)
A line that includes the points ( – 4, – 6) and (5,v) has a slope of – 2/9 . What is the value of v?
Answer:
v is -8
Step-by-step explanation:
The form of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We are given the slope, so let's write:
y = -(2/9)x + b
We can find b by using the one fully given point, (-4, -6).
y = -(2/9)x + b
-6 = -(2/9)(-4) + b
b = -6 - (8/9)
b = -(62/9)
Now we have y = -(2/9)x - (62/9)
We want the value of y when x is 5 to find v in (5,v):
y = -(2/9)x - (62/9)
y = -(2/9)(5) - (62/9)
y = -(10/9) - (62/9)
y = -(72/9)
y = -8
v is -8
A HORIZONTAL line passes through point (-3, -1). Find the equation of this line. A) x = 1 B) x = 3 C) y = -1 D) y = 1
Answer: C) y = -1
Step-by-step explanation:
A horizontal line is represented by y = a constant. As such, the line must be y = -1, because the given point is (-3, -1), which has a y-coordinate of -1.
Answer:
D y=-1
Step-by-step explanation:
In horizontal lines, the equation is y=b. B is the location of the y-axis where the line crosses through it. Hope this helps :)
divide Rs 18000 into 5 equal parts such that A gets 2 out of 5, B gets 1 out of 5 and C gets remaining
Answer:
72
Step-by-step explanation:
If it wrong i'm sorry
is 6,8,9 a pythagorem theorem? pls help me due rn
Answer:
No, it isn't.
Step-by-step explanation:
Pythagorean theorem is x^2 + y^2 = z^2.
6^2 + 8^2 = 9^2
36 + 64 = 81
100 = 81
So, it isn't.
Answer:
No.
Step-by-step explanation:
36+64 does not equal 9² (81)
In how many years will Rs 1200 at the rate of 15% interest amount to Rs 1740?
Answer:
3 years.
Step-by-step explanation:
Answer
3 years
Step by step explanation
Interest = 1740 - 1200
= 540
SI = prt/100
540 = 1200*15*t/100
540 = 12*15*t
540 = 180*t
t = 540/180
t = 3 yrs
One member of the solution set of 3x + 2 > x + 8 is
(A) 1
(B) 3
(C) 5
(D) -4
Anyone know the answer to this ?
3x + 2 > x + 8
3x - x > 8 -2
2x > 6
x > 3
ok done. Thank to me :>
SOLVE 11 AND 10 FOR POINTS NO LINKS ABSOLUTELY ALSO FOR 11 10 Answers may vary, however the
PRODUCT of the factors must equal......
Answer:
10. (-1, 7), (-7, 1)
11. (8, 4), (16, 2)
Step-by-step explanation:
10.Let x and y represent the two missing factors. Then you have ...
-3xy = 21
xy = -7 . . . . . . . divide by -3
Integer divisors of -7 are ±1, ±7, so possible factor pairs are (-1, 7), (-7, 1) and their reverse.
Of course, the only requirement is that the values be rational, so we could have (-1/4, 28), for example. One of the above factors can be multiplied by any rational number, and the other multiplied by its inverse.
__
11.If the two factors of interest are x and y, then the product of the three factors is ...
(-3/4)xy = -24
xy = (-4/3)(-24) = 32
Integer divisors of 32 are 1, 2, 4, 8, 16, 32. So, any of those, positive or negative, could be one of the (integer) factors you're looking for. On the attached graph, we have shown (x, y) pairs ...
(8, 4), (16, 2), (-4, -8)
There are an infinite number of possibilities.
the cost of 20 ounces of turkey is 4.20 dollars what is the cost per ounce of turkey?
Answer:
0.21
Step-by-step explanation:
Helpppppppppppp 70,000x379=????
Answer:
26,530,000
Step-by-step explanation:
this is quite easy, first you can write this question differently
Just view this problem as 7 x 379 which is 2653, now count how many zeros 70,000 has, which is 4 and add it to the answer 2653, which will give you 26,530,000
The multiplication or products of 70,000 and 379 is 26,530,000
How to multiply or find the product of valuesGiven:
70,000 × 379
= 26,530,000
Where from the left,
0 = unit position0 = Ten position0 = Hundred position0 = Thousand position3 = Ten thousand position5= Hundred thousand position6 = Million position2 = Ten million position.In words, 26,530,000 is written as twenty six million, five hundred and thirty thousand.
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find CP when sp=47180 loss=5%
Answer:
The cost price 49,359
Step-by-step explanation:
To find the loss, turn 5% to decimal then multiply it to the selling price
5% = 0.05
47,180 * 0.05 = 2,359
The loss is 2,359.
Now add it to the selling price to find the cost price.
47,180 + 2,359 = 49,539
Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.
Answer:
its 19 ur welcome byeeee
Step-by-step explanation:
What is an equation of the line with the slope -3 and a y intercept of 5? 1. Y=-3(x+5) 2. Y-5=-3x 3.-3x+y=5 4. Y=5x-3
Answer: Option 2
Step-by-step explanation: the slope is -3 so option 4 is wrong. Y intercept is 5 so the equation is y=-3x+5. Move the 5 to the left side and you get y-5=-3x which is option 2.