Answer:
The number of adult that were at fair are 480 adults
The number of children that were at fair are 580 children
Step-by-step explanation:
The given parameters are;
The entry tickets cost for children = $5
The entry ticket cost for adult = $10
The number of people that entered the fair on a certain day = 1,000
The amount collected for entry tickets sold = $7,100
Let 'x' represent the number of children that bought tickets and were at fair, and let 'y' represent the number of adults that bought tickets and were at the fair, we have;
x + y = 1,000...(1)
5·x + 10·y = 7,100...(2)
Making 'y' the subject of both equations gives;
For equation (1)
y = 1000 - x...(3)
For equation (2)
10·y = 7,100 - 5·x
y = (7,100 - 5·x)/10 = 710 - x/2
y = 710 - x/2...(4)
Equating both values of 'y' from equation (3) and equation (4), we have;
1000 - x = 710 - x/2
1000 - 710 = -x/2 + x = x/2
290 = x/2
x = 580
The number of children that bought tickets and were at fair = x = 580 children
From equation (3), y = 1,000 - x = 1,000 - 580 = 420
y = 480
The number of adult that bought tickets and were at fair = y = 480 adults.
1. Elena takes two triangles off of the left side and three
triangles off of the right side. Will the hanger still be
in balance, or will it tip to one side? Which side?
Explain how you know.
Answer:
Step-by-step explanation:
Given 2X + 4Y = 13 and 3X + Y = 2, what is the value of X?
Answer:
x = -1/2
Step-by-step explanation:
2x + 4y = 13
3x + y = 2 (you can multiply this equation by -4 in order to eliminate the y-term)
-4(3x + y = 2) = -12x - 4y = -8
+ 2x + 4y = 13
-10x = 5
x = -5/10 or -1/2
x(-1/2) + 4y = 13
-1 + 4y = 13
4y = 14
y = 14/4 or 7/2 or 3 1/2
the ratio of girls to boys in Kevin's class is 2 to 3. If there are 10 girls, how many boys are there?
Answer:
there are 15 boys in kelvin's class
Step-by-step explanation:
Read the caption please! Thank you :)) please help!
Answer:
[tex]\huge\boxed{\sf 360 \ degrees}[/tex]
Step-by-step explanation:
A quadrilateral (having four sides) has a sum of interior angles equal to 360 degrees.
Since, A Parallelogram has 4 sides so it is also a quadrilateral which means that the sum of its interior angles equal 360 degrees.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Rewrite using a single positive exponent.
78
73
can anyone answer this question
A=|3x-6| + 2 , xeR
prove that:
A=3x-4 for every x≥2
Answer:
We know that the function IxI is such that:
IxI = x if x ≥ 0
IxI = -x if x < 0.
In this case, we have:
A = I3x - 6I + 2
If we do the same as above, we can write:
A = (3x - 6) + 2 if (3x - 6) ≥ 0
Let's look at the condition in the right, let's isolate the variable:
(3x - 6) ≥ 0
3x ≥ 6
x ≥ 6/3 = 2
Then the condition:
(3x - 6) ≥ 0
is equivalent to:
x ≥ 2
Then we can write:
A = (3x - 6) + 2 if x ≥ 2
If we simplify it further, we get:
A = 3x - 6 + 2 if x ≥ 2
A = 3x - 4 if x ≥ 2
This is what we wanted to prove.
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After 11months, he weighed 140 kilograms. He gained weight at a rate of 5.5 , point, 5 kilograms per month. Let yyy represent the sumo wrestler's weight (in kilograms) after xxx months.
Answer:
y = 5.5x + 79.5
Step-by-step explanation:
Given that:
Weight gained after 11 months = 140 kg
Rate of weight gain = 5.5kg per month
Weight in kg after x months = y
Representing the equation in the form:
y = mx + c
m = rate of water gain = slope = 5. 5
.the intercept c, can be obtained thus ;
x = 11 ; y = 140
140 = 5.5(11) + c
140 = 60.5 + c
140 - 60.5 = c
79.5 = c
Hence,
y = 5.5x + 79.5
2/3 × 4/7 help mee!!!!!!!
Answer:
0.38095238095
Step-by-step explanation:
Answer:
8/21
Step-by-step explanation:
Which of the following below is a function?
Answer:
i don't know sorry
Step-by-step explanation:
What is 10 percent of 44
Answer:
4.4
Step-by-step explanation:
10% of 44 is 4.4
Answer:
4.4
Step-by-step explanation:
The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair $7, 100 is collected. How many adults and how many children were in the fair.
Answer:
580 children
420 adult
Step-by-step explanation:
y=1000 -x
-5x+10000=7100
-5x=-2900
x=580
1000-580=420 y=420
What is the value of z?
Answer:
Step-by-step explanation:
Item 1:
Discount = Original price - discount price
= 22.50 - 13.50
= $ 9
Discount percentage = [tex]\frac{9}{22.50}*100\\\\[/tex]
= 40%
Discount percentage = 40%
Tax = 14.31 - 13.50 = $0.81
Tax% = [tex]\frac{0.81}{13.50}*100\\\\[/tex] = 6%
Tax percentage = 6%
Item 2:
Tax = 6% of 16.20
= 0.06 * 16.20
= 0.972
Tax = $ 0.97
Total price (including tax )= 16.20 + 0.97 = $ 17.17
x = $ 17.17
Item 3:
Discount = 40% of 32.50
= 0.4 * 32.50
= $ 13
y = 32.50 -13
y = $ 19. 50
Tax = 6% of 19.50
= 0.06 * 19.50
= 1.17
z = 1.17 + 19.50
Z =$ 20.67
plsss helppp
WILL GIVE BRAINLIEST
Answer:
I thinks it's point 2 and if it's wrong I am sorry for that
Matt says that 5 − 1 1/4 will be more than 4, since 5 – 1 is 4. Is Matt correct? Explain your answer. please and do step by step
Answer:
No
explanation:
You are subtracting one and some more, so its going to be less than 4
HELP PLS
Find the solution of this system of equations
8x - 4y = -32
- 3x + 4y = 42
Answer:
(2,12) or x = 2 y = 12
this is correct trust
What is the smallest data when referring to data and statistics? Word Bank: Mean, Median, Mode, Range, Quartile, Interquartile Range, Minimum, Maximum *
Answer:
Minimum
Step-by-step explanation:
Answer:
Minimum
Step-by-step explanation:
Minimum means the least or smallest amount or quantity possible, attainable, or required.
The sequence follows a times -1 pattern: 6, -6, 6, -6. Write a formula for the (n)th term of the sequence. Your “n” term must start with 1
Answer:
The formula for the nth term of the sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Step-by-step explanation:
Given the sequence
6, -6, 6, -6
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Computing the ratios of all the terms of the adjacent terms
[tex]\frac{-6}{6}=-1,\:\quad \frac{6}{-6}=-1,\:\quad \frac{-6}{6}=-1[/tex]
The ratio of all the adjacent terms is the same and equal
so
r = -1
so substituting r = -1 and [tex]a_1=6[/tex] in the geometric sequence
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=6\left(-1\right)^{n-1}[/tex]
Thus, the formula for the nth term of the sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Determine if the two triangles are congruent. If they are, state how you know.
((If you only know the answer to one, that’s fine. anything helps))
Answer:
bsuxnd6djsj hsujehe I am going to have 3gysuue yusbe I will get the 2ybhsie usibeh I will h eyeh and the kids g. b73 yv 6e7ueh hehe gud b y I b 6hhe I am going to have to get a few things that are not on the schedule for me and I 2.
Find the value of x and y
Answer:
x = 8
y = 29
Step-by-step explanation:
By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.
Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.
Hence one can say that;
4x + 17 = y + 20
Inverse operations;
4x + 17 = y + 20
-17 -17
4x = y + 3
-3 -3
4x - 3 = y
Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.
When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words, the same measure.
Based on that, one can say;
5x + 9 = y + 20
Earlier it was found that;
y = 4x - 3
Now substitute that into the previous equation, and solve using simplification and inverse operations;
5x + 9 = 4x - 3 + 20
5x + 9 = 4x + 17
-9 -9
5x = 4x + 8
-4x -4x
x = 8
Back solve to find y
y = 4x - 3
y = 4(8) - 3
y = 32 - 3
y = 29
what is the value of x?
Answer:The answer is X=-27 I am very sure
Step-by-step explanation:
2) Pranavi can hike 4 mile in 7% minutes. How long would it take her to hike
a mile?
How many square feet of outdoor carpet will
we need for this hole?
?
12 ft
2 ft
2 ft
4 ft
The amount of carpet needed to make the hole is 44 ft²
Area
Area is the amount of space that a two dimensional object or figure occupies.
The area of the big rectangle = length * width = 12 * 4 = 48 ft²
Area of hole = length * width = 2 * 2 = 4 ft²
Amount of carpet required = 48 ft² - 4 ft² = 44 ft²
The amount of carpet needed to make the hole is 44 ft²
Find out more on area at: https://brainly.com/question/25292087
As an estimation we are told 5 miles is 8 km.
Convert 70 miles to km.
km
Answer: 112 km
=====================================================
Work Shown:
(5 miles)/(8 km) = (70 miles)/(x km)
5/8 = 70/x
5*x = 8*70 ... cross multiply
5x = 560
x = 560/5 .... divide both sides by 5
x = 112
According to the given estimation, 70 miles converts to 112 km.
The more accurate conversion is approximately 70 miles = 112.65408 km, so this estimation isn't too far off.
Solve for Z
(This should be another easy question, + there are answers you can choose from)
Answer:
Z = 6
Step-by-step explanation:
Z/12 = Cos(60°)
Z/12 = 1/2
Simplify: -4(2 - 8x)
Answer:
32 − 8
Step-by-step explanation:
1. Rearrange terms
− 4 (2 − 8)
− 4 (− 8 + 2)
2. Distribute
− 4 (− 8 + 2)
32x - 8
Solve the system using elimination.
−3 − 2 = −4
9 + 3 = 15
Answer:
1) −5≠−4
False
2) 12≠15
False
Step-by-step explanation: I guess this is what you looking for, hope this help
Answer:
2 is true because I solved it
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the sum of these numbers.
3186 + 957 =
Please Help!
please help me please will give brainliest to anyone who is good
show your reasons
Triangle P R Q is shown. The length of P R is 4, the length of R Q is 6, and the length of P Q is 5. Law of cosines: a2 = b2 + c2 – 2bccos(A) Find the measure of AngleQ, the smallest angle in a triangle whose sides have lengths 4, 5, and 6. Round the measure to the nearest whole degree. 34° 41° 51° 56°
Answer:
41°
Step-by-step explanation:
Using cosine rule : since the 3 sides are given
p = 6 ; q = 4 ; r = 5
q² = p² + r² - 2prCosQ
2prCosQ = p² + r² - q²
COS Q = (p² + r² - q²) / 2pr
Cos Q = (6² + 5² - 4²) / 2*6*5
Cos Q = 45 / 60
Cos Q = 0.75
Q = Cos^-1 (0.75)
Q = 41.409622
Q = 41° ( nearest degree)
Answer:
Step-by-step explanation:
b 41 degrees