Answer:
The system of equations is:
[tex]a+s = 250\\5a+2.50s = 837.50[/tex]
Here a is the number of adult tickets and s is the number of student tickets
Step-by-step explanation:
We will use the given statements to make a system of equations for the given scenario.
First of all we have to decide which variables to be used.
Let a be the number of adult tickets and
Let s be the number of student tickets
So according to the statement that the department sold 250 tickets in total, the equation will be:
[tex]a+s = 250[/tex]
This is equation one of the system of equations
According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: [tex]5a[/tex]
According to the statement that cost of student ticket is $2.50, total cost of student tickets will be:[tex]2.50s[/tex]
The total earning was $837.50 so the second equation will be:
[tex]5a+2.50s = 837.50[/tex]
Hence,
The system of equations is:
[tex]a+s = 250\\5a+2.50s = 837.50[/tex]
Here a is the number of adult tickets and s is the number of student tickets
what is the greatest common factor of 4 and 22
Answer:
2
Step-by-step explanation:
Factors of 4: 1, 2, 4
Factors of 22: 1, 2, 11, 22
GCF: 2
2 is the greatest common factor of 4 and 22.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the greatest common factor of 4 and 22
Greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
Factors of four and twenty two
We need to find the factors of 4 and 22
Factor of four are one comma two comma four
4: 1,2,4
Factors of twenty two are one comma two comma eleven comma twenty two
22: 1,2,11,22
2 is common greatest common factor of and 22
Hence, 2 is the greatest common factor of 4 and 22.
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A teacher has b boxes of pencils, with 10 pencils in each box. She gives away 4 boxes to the students in her class. How many pencils does she have left?
9514 1404 393
Answer:
10b -40
Step-by-step explanation:
After giving away 4 of the b boxes she started with, she has (b-4) boxes remaining. Since there are 10 pencils in each box, the number of pencils she has left is ...
10(b -4) = 10b -40
Solve for x - Remember to multiply both sides by the reciprocal 2/3 x = 12 *
Answer:
x=18
Step-by-step explanation:
First, multiple both sides by reciprocal 3/2.
It will look like this: x=12*3/2
Then, simplify:
x=18
Hope it helped.
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the neartst tenth if necessary.
Answer: 32.0%
Step-by-step explanation:
The price of car last month = $250
The price of the car this month = $330
Increase in price = $330 - $250 = $80
Percentage increase = (Increase in price/Cost price last month) × 100
= $80$250 × 100
= 0.32 × 100
= 32.0%
The percent of increase in the price of the car is 32.0%.
a right angle is formed by the x-axis, and the line y = -3x + 6. what is the length of the hypotenuse?
Answer:
The length of the hypotenuse is [tex]2\sqrt{10}[/tex] ≅ 6.325
Step-by-step explanation:
∵ A right angle is formed by the x-axis, y-axis and the line y = -3x + 6
∴ The line intersected the x-axis at point (x, 0)
→ To find x substitute y in the equation by 0
∵ 0 = -3x + 6
→ Add 3x to both sides
∴ 0 + 3x = -3x + 3x + 6
∴ 3x = 6
→ Divide both sides by 3
∵ [tex]\frac{3x}{3}=\frac{6}{3}[/tex]
∴ x = 2
∴ The line intersected the x-axis at point (2, 0)
∵ The line intersected the y-axis at point (0, y)
→ Substitute x in the equation by 0 to find y
∴ y = -3(0) + 6
∵ y = 0 + 6
∴ y = 6
∴ The line intersected the xyaxis at point (0, 6)
∵ The endpoints of the hypotenuse are (2, 0) and (0, 6)
→ Use the rule of the distance d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex] to find it
∵ x1 = 2 and y1 = 0
∵ x2 = 0 and y2 = 6
∴ h = [tex]\sqrt{(0-2)^{2}+(6-0)^{2}}=\sqrt{4+36}=\sqrt{40}=2\sqrt{10}[/tex]
∴ The length of the hypotenuse is [tex]2\sqrt{10}[/tex] ≅ 6.325
The attached figure for more understanding
Yasmine needs to create invites for a party. She has 3/4 of an hour to make the invites. It takes her 1/12 of an hour to make each card. How many invites can she create. Use a model to represent the qutient
I’ll give brainliest :)!
Answer:
-13
Step-by-step explanation:
g(1) = -5*1 = -5
f(g(1)) = f(-5) = 2*(-5) - 3 = -10-3 = -13
A receipe makes 3 dozen (36) muffins. You only want to make one dozen. How much of the original recipe should you make.
Answer:
a third 1/3
Step-by
you only want 1 dozen so its 1 dozen/3 dozen
A motel rents double rooms at $34 per day and single rooms at $27 per day. If 26 rooms were rented one day for a total of $807, how many rooms of each kind were rented? system of equations
Let, number of double rooms and single rooms are d and s.
d + s = 26 ....1 )
Hotel rents double rooms at $34 per day and single rooms at $27 per day.
34d + 27s = 807 ....2)
Solving equation 1 and 2, we get :
34( 26 - s ) + 27s = 807
884 - 34s + 27s = 807
7s = 77
s = 11
And d = 26 - 11 = 15
Therefore, number of double rooms and single rooms are 15 and 11.
Hence, this is the required solution.
Liam volunteers to help plan the event. First month he volunteered for x hours. The next month he volunteered for 2 times as many hours as he had the first month. If he volunteered for a total of 45 hours,how many hours did he volunteer during the first month? Write an equation to represent the situation and solve
Answer:
0/3 that’s what my teacher said on this test
Step-by-step explanation:
b) Wendy and Xavier share money in the
ratio 4:3. Wendy gets £30 more than
Xavier. How much does each receive?
Answer:
22.5
Step-by-step explanation:
30/4=7.5
7.5*3=22.5
please help! 50 points
.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties)
Answer:
Thanks so much
Step-by-step explanation:
plz give me brainiest
Answer:
= 0.312
Solution:
Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.
We then have the equations:
2000000 ÷ 6410251 = 0.312
and therefore:
2 ÷ 6.410251.6109 1) = 0.312
Both calculated to 3 decimal places.
0 0 0 0 0 0 0. 3 1 2
6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0
− 0
2 0
− 0
2 0 0
− 0
2 0 0 0
− 0
2 0 0 0 0
− 0
2 0 0 0 0 0
− 0
2 0 0 0 0 0 0
− 0
2 0 0 0 0 0 0 0
− 1 9 2 3 0 7 5 3
7 6 9 2 4 7 0
− 6 4 1 0 2 5 1
1 2 8 2 2 1 9 0
− 1 2 8 2 0 5 0 2
1 6 8 8
Please help me figure out what the slop-intercept form is. Also, what is the solution to the system?
Answer:
p= y=6x+2
Q= y=-2x+2.5
Step-by-step explanation:
the formula is y=mx+b
M=slope
B=y-intercept
The y-intercept is the number that your line goes through
The slope is two ordered pairs where you use the formula rise over run to find your slope.
Mario runs a yard company. He charges $20 to show up for the job and $4 for each 10 square Yards. His competition, Linda's Lawn Care, charges $10 for showing up and $6 for each square 10 yards. After how many 10 square yards are, they charging the same? And how much is charged at that moment?
Answer:
5 square 10 yards
$40
Step-by-step explanation:
Mario:
20 + 4x
Her competitor:
10 + 6x
Where,
x = number of 10 square yards
Equate the expressions
20 + 4x = 10 + 6x
Collect like terms
20 - 10 = 6x - 4x
10 =2x
Divide both sides by 2
x = 10 / 2
= 5
x = 5 square 10 yards.
Charge at that moment
Using any of the cost equation
10 + 6x
= 10 + 6(5)
= 10 + 30
= 40
$40
Or
20 + 4x
= 20 + 4(5)
= 20 + 20
= $40
What is the slope of the line through the points (0,-3) and (2,1)?
Answer:
alright so you got 2 points! now this is the slope formula! y2-y1/x2-x1
okay let's label your points! (x1 0,y1 -3) (x2 2,y2 1)
let's follow the formula this makes it so we can solve! 1--3/2-0
I understand you may get a decimal but don't use 2.5 use a fraction because teachers seem to like fractions and general decimals can be hard to use (experience lol) 2.5 is 5/2 so this means your slope is 5/2
this formula works every single time and if you memorize it you can do any other problems with 2 points! please memorize y2-y1/x2-x1
Order from greatest to least : 0.8; 8.83; 0.083; 80.83
Answer:
ok
Step-by-step explanation:
0.083,80.83,8.83,0.8
Hope that helps you.
Dominique and Ella are comparing whose jet traveled faster. The graph shows the relationship between the total distance Dominique traveled and the time in hours. The distance Ella traveled after x hours can be represented by the equation y=550x.
Who if anyone, traveled at a faster speed? Explain.
Answer:
Ella
Step-by-step explanation
Ella travelled faster than Dominique by 50 miles/hr.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Dominique and Ella are comparing whose jet traveled faster.
The speed of the jet will be equivalent to slope of the line representing the motions.
Dominique's speed = (2200 - 1100)/(4 - 2) = 1000/2 = 500 miles/hr
Ella's equation of motion -
y = 550x
Ella's speed = 550 miles/hr
Therefore, Ella travelled faster than Dominique by 50 miles/hr.
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What property would you use to solve. 6x=72
Answer:
divison i believe
Answer: Multiplication Property of Equality
What is the equation helppp
Answer:
y=2x+4
Step-by-step explanation:
Answer:
The slope-intercept equation is y=2x+4
Step-by-step explanation:
The y-intercept is where it crosses the y-axis, so 4, and to find the slope find perfect points or pretty points and rise then run. I took the point (0,4) and found the next pretty point (1,6) and rise/run it. In order to get to the next point you have to rise 2 and run 1 or 2/1 which is 2, so the slope is 2, then you plug it into the equation y=mx+b the y=intercept is b and the slope is m.
Point P′(−3, 2) is the image of point
P(3, 8) under a translation. What
is the image of (0, −6) under the
same translation?
Answer:
The image of (0, -6) after the same transformation is (-6, -12)
Step-by-step explanation:
After the required translation, the given image of the given point P(3, 8) is P'(-3, 2)
Therefore, the translation of preimage P(3, 8) to the image P'(-3, 2) is given by the difference between the coordinates as follows;
The translation from P(3, 8) to P'(-3, 2) = T(-3 - 3, 2 - 8) = T(-6, -6)
Therefore after the same translation, the preimage of (0, -6) will have an image given as follows;
Coordinate of preimage (0, -6) → T(-6, -6) (0, -6) = (0+ -6, -6 + -6) → Coordinate of image (-6, -12)
The image of (0, -6) after the same transformation = (-6, -12).
If u understand this May u please help me please
Answer:
y=-(2/3)x-3
Step-by-step explanation:
What is the equation for the line that passes through the point (-4,-6) and has a slope of -1/2?
Answer:sorry I’m ish could help
Harold's car has a fuel tank with 12 gallons of fuel in it. The fiel efficiency of Harold's car is 25 miles per gallon. Write an equation to represent the amount of fuel remaining, f, in Harold's car after driving m miles.
Answer:
I believe the answer is
f = 25m + 12
Answer: f = 12 - 1/25m
Step-by-step explanation:
I did the quiz!
What is the solution to (x – 3)3(x + 1)(x - 2) 0?
0 (-0, -1) U (2,3)
0 (-00, -1] U [2, 3]
0 (-1, 2) U (3, m)
0 -1, 2]U [3, 0)
Answer:
B.
Step-by-step explanation:
Edge
Answer:
Well, it is B on Edge.
Step-by-step explanation:
I did the unit test.
Plz mark as Brainliest!
PLEASE HELP ME 10 POINTS
Representing linear functions: slope-intercept form
Answer:
answer should be A
Step-by-step explanation:
Christian wanted to divide 12 pies up into 1/4 pieces.
Dylan said he would end up with 48 pieces. Jaime said
he would end up with 3 pieces. Explain why you agree
with either Dylan or jaime.
Answe Jamie is Right
Step-by-step explanation:
If Christian wants to divide the pies into 4 people, everyone would have 3 pieces. It also Dylan wouldn't make since because there are 12 pies.
Write 2x+y=17 in slope-intercept form
Answer:
Step-by-step explanation:
Let's solve for x.
2
x
+
y
=
17
Step 1: Add -y to both sides.
2
x
+
y
+
−
y
=
17
+
−
y
2
x
=
−
y
+
17
Step 2: Divide both sides by 2.
2
x
2
=
−
y
+
17
2
x
=
−
1
2
y
+
17
2
Answer:
x
=
−
1
2
y
+
17
2
This can be determined by the concept of straight line. [tex]\bold{y=-2x+17}[/tex] is the slope-intercept form of [tex]2x+y=17[/tex].
Given: 2x + y = 17
As, we know that,
Equation of line is,
[tex]\bold{y=mx+c}[/tex]
Where, 'm ' gives the slope/gradient of the line and 'c' gives y-intercept.
From the given equation,
[tex]2x+y=17[/tex]
Solve it further , we get,
[tex]\bold{y=-2x+17}[/tex]
This is the slope-intercept form of [tex]2x+y=17[/tex].
Here, comparing this with [tex]y=mx+c[/tex], we get
m= -2 ( slope/gradient) and c= 17 (y-intercept)
So, slope / gradient of line : m= -2.
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Is 3/10 and 2/15 proportional
Answer:
No
Step-by-step explanation:
3/10 = 6/20 not 2/15
simplify (3m²n⁴)³ pls it would really help if right you get brainleist
Answer:
27m^6n^12
Step-by-step explanation:
(3)^3 = 27
m^2^3 = m^6
n^4^3 = n^12
Answer:
27m⁶n¹²
Step-by-step explanation:
that the answer because you just have to multiply, and the ² and ⁴ add it and then you added to ³.