Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
When Zainab started work, her original hourly wage was ‘y’ dollars. Her wage was then doubled, and then increased by $4. If Zainab now gets paid $17 an hour, what was her original hourly wage?
Answer:
$6.5 dollars
Step-by-step explanation:
We can make an equation to find out the original total.
2y+4=17
(subtract 4 from both sides)
2y=13
(divide by 2)
y=6.5
Hope this helped :D
How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?
Answer:
The answer is 15!
Step-by-step explanation:
225 divided by 15 is 15! Hope this helps! :)
the reataurant started the week with blank quarts the of olive oil
Answer:
where is the question like background info
Step-by-step explanation:
A horse's mane grows at the rate of 6 over 5 centimeters per month.
How many months will it take the horse's mane to grow 24 over 10 centimeters?
Explain your answer using words, and show your work using division of fractions.
Answer:
It will take 2 months for the' mane to grow 24/10 centimeters, because 24/10 divided by 6/5 = 24/10 x 5/6 would be 2 months.
Step-by-step explanation:
Hope this helps, have a good day/night :)
It will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A horse's mane grows at the rate of 6 over 5 centimeters per month.
Let x be a number of months.
(6/5)x = 24/10
6x = 12
x = 12/6 = 4/2 or
x = 2 months
Thus, it will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.
Learn more about the linear equation here:
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Find cos 2α; the angle α is in the fourth quadrant, and sin α = -0.45. Which double-angle identity should you use?
cos2α = 1 – 2〖sin〗^2α
sin(α)cos(α) - cos(α)sin(α)
sin(α)cos(α)
2sin(α)cos(α)
Answer:
it is the last one
Step-by-step explanation:
me big brain
Can y’all help me plz.
Answer:
No. two inputs cannot have the same output
Step-by-step explanation:
This is not a function because -2 and 2 have the same output which is 4
HOPE THIS HELPS :)
Prism A and Prism B have the same volume. Which could be the dimensions of Prism B?
Prism A:
length = 8 feet
width = 4 feet
height = 5 feet Prism B:
length=? feet
width=? feet
height=? feet
Answer:
length = 20 ftwidth = 20 ftheight = 0.4 ftStep-by-step explanation:
The volume of Prism A is ...
V = LWH
V = (8 ft)(4 ft)(5 f) = 160 ft³
Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...
length = 20 ft
width = 20 ft
height = 0.4 ft
Step-by-step explanation:
We know that
Volume of prism = lwh
=> 8 × 4 × 5
=> 32 × 5
=> 160 ft³
So,
The possible length, height and width could be
Length = 10 ft
Breadth = 8 ft
Height = 2 ft
given f (x) = 2x - 10 forwhichvalueofxthat f (x) = -12
Answer:
=-240..................
Answer:
x = - 1
Step-by-step explanation:
f(x) = 2x - 10 and f(x) = - 12, then equating gives
2x - 10 = - 12 ( add 10 to both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
a desk costs $145. what is the total cost of 23 desks?
Answer:
145*23=3335$
by multiplying cost by sum of desk
15 points!!! Please help with math
Answer:
(b) y -4 = 3(x -2)
Step-by-step explanation:
You are given the form
y -y1 = m(x -x1)
and the values
y1 =4, m =3, x1 =2
Putting these in their places gives ...
y -4 = 3(x -2)
find 3 arithmetic means between -4 and 16
The lawn is a circle with radius 3m.
Work out the area of the lawn.
Answer:
28.27m
Step-by-step explanation:
the formula for area of a circle is
A= π x r^2
A = π x r^2 = π x 3^2 = 28.27433
Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-
Answer:
154.5
Step-by-step explanation:
just inputed the equation in desmos.
Answer: 154.5
Step-by-step explanation:
4.2*103=432.6
2.7*103=278.1
432.6-278.1=154.5
Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?
Name the perpendicular bisector….
Answer:
B and C
Step-by-step explanation:
I chose these bisector angles because they both are at a 90 degree angle
Write an equation of the line that passes through the point (3,-5) and has the slope of 2
Answer:
Y-Y1=M(x-x1)
that's the formula then fixing in your values we have
y + 5 =2(x-3)
y+5 =2x-6
Crossing over we have
y-2x=-6-5
equation of the line equals
y-2x-11 =0
6.
Two cars A and B 250 km apart are traveling towards each other on the same road. Car A travels at 55 km/h
while car B travels at 70 km/h.
(a) When will they meet on the road?
(b) Find the distance each car travels before they meet.
Answer:
At 2 hours they will meet on the road
Car A: 110 km; Car B: 140 km
Step-by-step explanation:
Since the total distance is 250 km, we know that when the sum of the miles driven by each car adds to 250, they will meet.
Let x be the time, in hours.
Miles Travelled
Car A (55km/h)x
Car B (70 km/h)x
(55km/h)x + (70 km/h)x = 250
55x + 70x = 250
125x = 250
x = 2 hours At 2 hours they will meet on the road
Distance Travelled
Car A (55km/h)2 = 110 km
Car B (70 km/h)2 = 140 km
Explain why the square root of a number is defined to be equal to that number to the 1/2 power
Answer:
Because square root is essentially the same thing as the power to a half
sqrt(x) is the same as (x)^1/2
Graph the solution to this inequality on the number line.
-3x<4.2
-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
1.5 2
2.5 3
[tex]\\ \sf\longmapsto -3x<4.2[/tex]
[tex]\\ \sf\longmapsto x<4.2/-3[/tex]
[tex]\\ \sf\longmapsto x<-1.4[/tex]
Graph attached
The solution to the given set of inequality is -
x > - 1.4.
What is the general equation of a Straight line? What is a linear inequality?
The general equation of a straight line is -
y = mx + 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.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
A linear equality is of the form -
y ≤ mx + c
y ≥ mx + c
y > mx + c
y < mx + c
We have the given inequality as -
-3x < 4.2
We have the following inequality as -
-3x < 4.2
x > (- 4.2/3)
x > - 1.4
Therefore, the solution to the given set of inequality is -
x > - 1.4.
To solve more questions on straight lines, visit the link below-
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Determine if 0.929229222922229222229... is rational or irrational and give a
reason for your answer.
Answer:
It is irrational.
Hope you could get an idea from here.
Doubt clarification - use comment section.
yler’s brother earns a commission. He makes `2.5\%` of the amount he sells. Last week, he sold `\$9,000` worth of shoes. How much was his commission?
which graph best represents the solution set of y< -4x?
D because the line is not "dotted' and it's on the y intercept and not in the x-axis
3x - 2 < 4
what is the solution for the inequality
Answer:
x<2
Step-by-step explanation:
Please I need help now!!!
Answer:
An Ojibwe event in which women of all ages run, bike and canoe.
Step-by-step explanation:
A and B are complementary angles. If A = (x – 23)° and m
B = (2x + 29)°, then find the measure of B.
Answer:
∠ B = 85°
Step-by-step explanation:
Complementary angles sum to 90° , then
x - 23 + 2x + 29 = 90 , that is
3x + 6 = 90 ( subtract 6 from both sides )
3x = 84 ( divide both sides by 3 )
x = 28
Then
∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°
17 and 18 guys
aaaaaaaaaaaa I can do the rest but i just need to get this done & over with
Answer:
17a 3.5 hours
17b 3 hours
18. w=10
Step-by-step explanation:
17a 60 miles/hour and 210 miles
so 210/60 = 3.5 hours
17b, 70 miles/ hour and 210 miles
so 210/70 = 3 hours
18. 1.5/2=7.5/w
1.5w=7.5*2
w=10
How many groups of are there in 30?
Answer:
6
Step-by-step explanation:
divide or multiply by 5 to get 30
Answer:
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Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts for 11 months. She must also pay $3 interest each month. What is her monthly payment, including interest?
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answer:
9
Step-by-step explanation:
The equation for a slope is y=mx+b, b being the y-intercept. Then, you can plug in the equation given and have 9 as your answer.
Answer:
the y intercept is 0
Step-by-step explanation:
i used a slope to help me find the y-intercept
9. In the figure below, Angle 1 is congruent to Angle 2.
What reason can be used to prove that mis parallel to n?
A. if a pair of verticals angles is congruent, then the lines forming them are parallel
B. If a pair of angles formed by a transversal is corresponding and supplementary, then two lines are parallel
C. If a pair of angles is congruent and the sum of their measures 180 degrees, then the line forming the angles are parallel
D. If two line are intersected by a transversal, and a pair of corresponding angles is congruent, then the two lines are parallel
Answer:
D
Step-by-step explanation:
When 2 angles are congruent and corresponding, the lines are parallel