The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?
Given :
The admission fee at a small fair is $1.50 for children and $4.00 for adults.
On a certain day, 2,200 people enter the fair and $5,050 is collected.
To Find :
How many children and how many adults attended.
Solution :
Let, number of children and adults attended are c and a.
So, c + a = 2200 ....1)
Now, fair collected is given by :
1.5c + 4a = 5050 ....2)
Putting value of a from equation 1) to 2), we get :
1.5c + 4( 2200 - c ) = 5050
1.5c - 4c = 5050 - 8800
2.5c = 3750
c = 1500
a = 2200 - 1500
a = 700
Therefore, 1500 children and 700 adults attended the fair.
Which expression is equivalent to
(5^-2)(5^-1)?
Answer:
5^-2.5^-1
5^-2-1
5^-3
1/125
what are the steps for solving
6x-1=-x+9
Answer:
x=10/7
Let's solve your equation step-by-step
6x−1=−x+9
Step 1: Add x to both sides
6x−1+x=−x+9+x
7x−1=9
Step 2: Add 1 to both sides
7x−1+1=9+1
7x=10
Step 3: Divide both sides by 7
7x/7=10/7
x=10/7
Answer:
x = 10 / 7
Step-by-step explanation:
6x - 1 = -x + 9
Add 1 to both sides of the equation.
6x - 1 = -x + 9
6x - 1 + 1 = -x + 9 + 1
Simplify
Add the numbers
6x - 1 + 1 = -x + 9 + 1
6x = -x + 9 + 1
Add the numbers
6x = -x + 9 + 1
6x = -x + 10
Add x to both sides of the equation.
6x = -x + 10
6x + x = -x + 10 + x
Simplify
Combine like terms
6x + x = -x + 10 + x
7x = -x + 10 + x
Combine like terms
7x = -x + 10 + x
7x = 10
Divide both sides of the equation by the same term
7x = 10
7x/7 = 10/7
Simplify
Cancel terms that are in both the numerator and denominator.
7x/7 = 10/7
x = 10/7
Solution
x = 10/7
I hope this helps have a great day!!!The new club sticker is in the shape of a triangle. It has a height of 8 inches and a base of 10 inches. The area of the club sticker is square inches.
Answer:
Height (h)=8 in
Base(b)=10in
Area (A) of a triangle = 1/2*b*h
A=8in*10in=80in sqr
Step-by-step explanation:
The sticker is in triangular form so one has to Area of triangle formula: 1/2x base x height
12,400 x one and one fifths. Will the product of this equation be less than or greater than 12,400? EXPLAINNNNN YOUR REASONING PLZZZZ
Answer:
The product of this equation will be greater than 12,400Step-by-step explanation:
Make this an expression
12,400x1 1/5
Now, Solve this expression
-make 1 1/5 an improper fraction
12,400x 6/5
-multiply the numerators by the numerators and the denominators by the denominators... remember that a whole number's decimal is always 1
12,400/1 x 6/5
12,400x6= 74400
1x5=5
74400/5= 14880
Is 14880 less than or greater than 12400? It is greater.
Which expressions are equivalent?
a. 1/5k-2/3j and -2/3j+1/5k
b. 1/5k-2/3j and -1/5+2/3j
c. 1/5k-2/3j and 1/5k-2/3j
d. 1/5k-2/3j and 2/3j-1/5k
Answer:
according to the creator its A
Step-by-step explanation:
i did A and it was correct on edge 2021
21. At Seaford Middle School the cafeteria serves ice cream sandwiches every 5 days and serves
pizza every 6 days. When will be the next day that they serve both ice cream sandwiches and pizza?
Answer:
on the 30th day
use the gcf and the distributive property to find the sum of 26 + 39
Answer:= 13
Step-by-step explanation:
A store sells backpacks in two sizes small and large . The large backpacks sell for 20% more than the smaller backpacks. If a large backpack costs $75, how much does the small size cost
Answer:
$50
Step-by-step explanation:
75x20%= 1500 then divided by 100 is 15. 75 - 15 is 50
H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.
Answer:
H in terms of c is H = 5c³.
Step-by-step explanation:
Given that:
H = 40 and c = 2
H varies directly to the cube of c.
Which means that,
H ∝ c³
Let,
k be the proportionality constant.
H = kc³
Putting H=40 and c=2
[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]
Dividing both sides by 8,
[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]
Now,
H in terms of c.
H = 5c³
Hence,
H in terms of c is H = 5c³.
which of the following is geometric sequence?
Answer:
Choice C
Step-by-step explanation:
A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.
Choice A:
[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]
Nope that's not what we're looking for.
Choice B:
[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]
This would be a perfect arithmetic sequence but not the type of sequence we are looking for.
Choice C:
[tex]6^{*3},18^{*3},54^{*3},162[/tex]
Yes! See how this one is multiplying by 3 and not adding or subtracting.
Choice D:
[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]
Nope this is not it either.
Solve the system of linear equations using any method.
-6y + 2 = -4x
y – 2 = x
Answer:
x=-5 and y=-3
Step-by-step explanation:
-6y+2=-4x convert this into standard form
y=x+2
plug in the slope intercept form in to y
-6(x+2)+4x=-2
-6x-12+4x=-2
-2x-12=-2 now solve for x
-2x-12+12=-2+12
-2x=+10
x=-5 now solve for y
y=-5+2
y=-3
so basically x=-5 and y=-3
~Can ~ you ~ please ~ help ~ me ~ out?~
Also please don't make fun of how I write my questions- ;w;
If you do that's okay, I'm not the boss of you ^^
Answer: c
Step-by-step explanation:
301,251,769 to the nearest ten thousand
Answer:
301,250,000
I'm pretty sure that's it.
Emma has 2 2/3 pies. Sam has 1/2 of Emma's amount. How much pie does Sam have
Answer:
1 and 1/3 pie
Step-by-step explanation:
2 2/3 divide by 1/2= 1 and 1/3
what is the slope of the line that passes through the pair of points. (1,7) , (10 ,1)
Answer:
-6/9 = -2/3 (C)
Step-by-step explanation:
Express this number in scientific notation.
31 billion
Answer:
3.1 * 10^10
Step-by-step explanation:
we know 1 billion is 1,000,000,000
In scientific notation
1,000,000,000=1 * 10^9
To find the value of 31 Billion
Multiply the value of one billion for 31
so
31 * 1 * 10^9 = 31 * 10^9
= 3.1 * 10^10
what is the graph of 3x+5y=-15?
Answer:
Root: (-5,0)
Vertical Intercept: (0,-3)
m = -3/5
b = -3
Step-by-step explanation:
How do I solve this ?
x - 7 > - 11
Answer: 77
Step-by-step explanation:
Multiply both sides of the equation by
Simplify both sides of the equation.
x = 77
Answer:
[tex]x - 7 > - 11 \\ x > 7 - 11 \\ \boxed{x > - 4}[/tex]
x>-4 is the right answer.Sam plans to double his savings each day. He starts
with $0.03 in his account. How much will be have saved
after 30 days?
Answer:
$32212254.72Step-by-step explanation:
Initial value = $0.03Increase rate = 2 times each dayTime = 30 daysSaving amount after 30 days:
$0.03*2^30 = $32212254.72Is this a function? thanks for the answers:)
Answer:
Yes
Step-by-step explanation:
I am pretty sure it is a linear function
Answer:
yes
Step-by-step explanation:
[tex]3x+6-y=2y-8\\\\3x+6=2y+y-8\\\\3x+6=3y-8\\\\3y-8=3x+6\\\\3y=3x+6+8\\\\3y=3x+14\\\\y=x+\frac{14}{3}[/tex]
so yes it's a function
Add 40c - 6 and -25c -13
can anyone help with this?
Answer:
zuzhztxrctwhdvdhsuwjd
How would figure out if a equation has one answer,zero answers,or infinite. Like a equation like 3(x+9)=3x+27
The expression -320+15y represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute. What was the depth of the submarine after 15 minutes?
Step-by-step explanation:
Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :
-320+15y
We need to find the depth of submarine after 15 minutes.
Put y = 15 in the above expression.
-320+15y = -320+15(15)
= -320 + 225
= -95
Hence, the submarine is below sea level at 95 feet.
There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
Answer:
The ratio of number of purple beads to the number of pink beads is: 15:31
Step-by-step explanation:
Number of pink beads = 31
Number of Purple beads = 15
We need to find ratio of number of purple beads to the number of pink beads
So, The ratio of number of purple beads to the number of pink beads is:
Number of purple beads : Number of pink beads
15 : 31
Since it cannot be simplified further, So
The ratio of number of purple beads to the number of pink beads is: 15:31
Arisia puts $500 into a savings account with an annual simple interest rate of 4.5%. If the savings account pays 5% simple interest, how much interest will Arisia earn on her $500 principal over 20 years?
Answer:
$500
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 500 × 0.05 × 20 = 500
I = $ 500.00
The simple interest accumulated
on a principal of $ 500.00
at a rate of 5% per year
for 20 years is $ 500.00.
PLS HELP
What is the answer to the proportion you set up in the last problem? Type ONLY the number in the box
Answer:
4
Step-by-step explanation:
z = [tex]\frac{6}{15}[/tex] × 10
= 4
Help it is due ASAP....
Answer:
c
Step-by-step explanation:
Answer: ∠4 and ∠5
Step-by-step explanation:
Those angles are alternate.
Sorry I took long btw, my mom called me and I forgot bout this. TnT
Hope I helped tho!
PLEASE HELP ASAP - SLOPE