Answers
Answer:
There are 585 adults and children
Step-by-step explanation:
Let the number of adults be a, number of children be c and the number of seniors be a
Amount made per group;
adults; 52 * a = 52a
Children : 26 * c = 26c
Seniors = 20 * s = 20s
Adding all will give 20,490
52a + 20s + 26c = 20 490 ••••(i)
Now let us work with the ratios;
a : s = 6 : 1
a/s = 6/1
a = 6s •••••(ii)
Lastly;
a/c = 4/9
4c = 9a ••••(ii)
We want to get a + c
From the first equation , let’s substitute
52(6s) + 20s + 26c = 20,490
26c = 6.5 (4c)
but 4c = 9a; 6.5(9a)
But a = 6s
So we have; 6.5(9)(6s) = 351s
so we have;
312s + 351s + 20s = 20,490
683s = 20,490
s = 20490/683
s = 30
Recall;
a = 6s = 6 * 30 = 180
4c = 9a
4c = 9 * 180
c = (9 * 180)/4 = 405
So the total number of children and adult is a + c
405 + 180 = 585
Related Questions
what is the slope of this line?
Answers
Answer:
-1/200
Step-by-step explanation:
To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.
please make it correct
Answers
Answer:
"The drone is at the surface of the water at both 4 and 7 seconds into the observation."
Have a good day! :>
Answer:
B
Step-by-step explanation:
0 = t^2 - 11t + 28
0 = (t-4) x (t-7)
so it is at the surface at seconds 4, 7
One pound of pasta noodles can be made using the ingredients shown in the recipe below. A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?
Answers
Answer:
Pounds of noodles made per week = 47 1/2 pounds
Step-by-step explanation:
One pound of pasta noodles can be made using the ingredients shown in the recipe below.
Recipe for Pasta Noodles
Ingredients
3 1/2 cups of flour
4 large eggs
2 teaspoons of olive oil
A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?
28 1/2
47 1/2
53 1/4
55 1/2
Pounds of noodles made per week = Total cups of flour used each week / flour used per pound
= 166 1/4 ÷ 3 1/2
= 665/4 ÷ 7/2
= 665/4 ÷ 2/7
= (665*2)/(4*7)
= 1330/28
= 47.5 pounds
Pounds of noodles made per week = 47 1/2 pounds
I need answers ASAP!
Answers
Answer:
x>2
Step-by-step explanation:
im the same guy who wrote the comment. I just want points lol
John buys a bag containing 3 pounds of flour. He uses 12 ounces of the flour for a craft project. How much flour is left in the bag?
PLEASE ASAP
Answers
Answer:
36 ounces
Step-by-step explanation:
3 pounds is 48 ounces - 12 pounds used gives you 36 ounces which is 2 pounds and a quarter ( 2 1/4)
The base and height of a triangle with base
7 in. and height 3 in. are both doubled.
Answers
Incomplete question.
Help please! What part of the model represents "n" in the
equation?
Answers
What is the surface area of this triangular pyramid?
Answers
Answer:
48.25
Step-by-step explanation:
This is because when finding the area of a triangle it is known as base times height then divide by 2 and since the base is a triangle, multiply 4.3 times 5 which is 21.5 and divide by 2 which is 10.75 and for the top since its also a triangle multply 5x5 which is 25 divide by 2 whicih is 12.5, but there is 3 of them so multiply by 3 and you get 37.5, then add 37.5+10.75 to get 48.25 cm^2
by (2x^3 - x^2 - 24x + 12) / (2x - 1)
A x^2-1
B x^2-12
C 2x-1
D x^2-1/2x-12
Answers
Answer:
B
Step-by-step explanation:
(2x^3 - x^2 - 24x + 12) / (2x - 1) = x^2-12
(use long polynomial division)
Answer:
[tex]\boxed {\sf B.\:x^2-12}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{2x^3-x^2-24x+12}{2x-1}[/tex]
Factor the expressions that aren't already factored:
[tex]\sf \cfrac{(2x-1)(x^2-12)}{2x-1}[/tex]
Cancel out 2x-1 in both sides numerator and denominator:
[tex]\sf x^2-12[/tex]
___________________________
Find the area of the composite shape.
1,323 cm squared
1,209 cm squared
955.5 cm squared
1,029 cm squared
Answers
Answer:
4. A = 1029 cm²Steps:
A = (35×21)+(21+2×3.5)×21/2
A = 735 + (21+7)×21/2
A = 735 + 28×21/2
A = 735 + 588/2
A = 735 + 294
A = 1029 cm²A standard deck of playing cards contains 52 cards, equally divided among four suits(hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a kind, and an ace.
If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a kind?
A) [tex]\frac{1}{17}[/tex]
B) [tex]\frac{16}{51}[/tex]
C) [tex]\frac{4}{17}[/tex]
D) [tex]\frac{5}{17}[/tex]
Answers
Answer:
4/17
Step-by-step explanation:
solve 2x + -3 = -23 algebraically
Answers
Answer:
x = -10
Step-by-step explanation:
Answer:
x = -10
Step-by-step explanation:
Hope this helps!
Have a nice day <3
2)
g(x) = 2x-1
h(x) = 1 - g(x)
The functions g and h are defined above. What is the
value of h(0) ?
A) - 2
B)+
0
1
C)
D)
2.
Answers
Answer:
h(0) = -2x
Step-by-step explanation:
substitution 2x - 3y + = -45, x + 6y = 45
Answers
Answer:
y = 9
x = -9
Step-by-step explanation:
2x - 3y + = -45
x + 6y = 45, x = 45 - 6y
substitute for x:
2(45 - 6y) - 3y = -45
90 - 12y - 3y = -45
combine like terms:
90 - 15y = -45
15y = 135
divide both sides of the equation by 15:
y = 9
x = 45 - 6(9) = -9
Can someone pleaseee help me
Answers
Answer:6
Step-by-step explanation:
Vertical angle proof. 4x is equal to 24 so 24/4=6 and x is 6
What expression is equivalent to 4 + 2(3 + 5 exponent 2 - 6)?
Answers
Answer:
A. 48
Step-by-step explanation:
4 + 2(3 + 25 - 6) =
4 + 2(28 - 6) =
4 + 2 x 22 =
4 + 44 =
48
Hope that helps!
Help ..................
Answers
Pythagorean Theorm Unit? I got you!
It would be C, about 63.07
Help me please help me please help me please
Answers
Answer:
your answer is
1 - o
16- 2
20 - 5
24 - 4
Step-by-step explanation:
LOL i also have a acer laptop but its paired with windows 10
A rectangular painting has an area of 420 square inches. If the length is (2x + 5) inches and the width is (x) inches, then what is the value of x? Use completing-the-square and round the value of x to the nearest tenth. (Hint: You may find 2 solutions, but you only need the positive solution because the length and width must be positive values)
Answers
Answer:
12.1 inches
Step-by-step explanation:
Since the length of the rectangular painting is (2x + 5) inches and its width is x inches, it area A = (2x + 5)x square inches = 2x² + 5x.
Also, A = 420 square inches. So,
2x² + 5x = 420
2x² + 5x - 420 = 0
diving through by 2, we have
2x²/2 + 5x/2 - 420/2 = 0/2
x² + 5x/2 - 210 = 0
adding halt the coefficient of x squared to both sides, that is (5/2 ÷ 2)² = (5/4)² to both sides, we have
x² + 5x/2 + (5/4)² - 210 = 0 + (5/4)²
Simplifying, we have
(x + 5/2)² - 210 = 25/16
adding 210 to both sides, we have
(x + 5/2)² - 210 + 210 = 25/16 + 210
(x + 5/2)² = 25/16 + 210
(x + 5/2)² = (25 + 3360)/16
(x + 5/2)² = 3385/16
taking square root of both sides, we have
√(x + 5/2)² = ±√(3385/16)
(x + 5/2) = ±√3385/4
(x + 5/2) = ±58.18075/4
(x + 5/2) = ±14.55
x = -5/2 ±14.55
x = -2.5 ±14.55
x = -2.5 - 14.55 or -2.5 + 14.55
x = - 17.05 or 12.05
Since x = width and it cannot be negative, we choose the positive answer. So, x = 12.05 inches ≅ 12.1 inches (to the nearest tenth)
Qual a resposta da seguinte equação (x-3)(x-1)=0
Answers
Answer:
(x-3)(x-1) =0
x-3=0 or x-1=0
x=3 or x=1
Camille buys a cake for $24.99 . She also buys 12 brownies. Each brownie costs the same amount. She spends $39.99 on the cake and the brownies. Camille finds the cost of each brownie by calculating (39.99 - 24.99) *12 . Tanya finds the cost of each brownie by solving the equation $39.99 + 12b = 24.99 , where b is the cost of each brownie. Which approach uses the sequence of operations necessary to find the cost of each brownie: Camille’s, Tanya’s, both, or neither?
Answers
Answer:
hi
didn't get it
Step-by-step explanation:
.....
....
Answer:
sorry
Step-by-step explanation:
DUE RIGHT NOW!!!!! PLEASE HELP!!!!!
Answers
Which expression has the greatest value?
Answers
Answer:
the last one
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] and [tex]16^{3/2}[/tex] expressions have the greatest value.
What is square root and cube root of a number?
Square root of a number results a number that when square, gives us the previous number.
Similarly, cube root of a number results a number that when cubed, gives us the previous number.
Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64
[tex]16^{3/2}[/tex] = 4³ = 64
[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16
√(16²) = √(16 × 16) = 16
Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.
Learn more about square root and cube root of a number here: https://brainly.com/question/9664917
#Tag #SPJ2
If an object is moving at 8m/s and slows down to a stop in 2 seconds. What is the objects acceleration
Answers
Answer:
-4m/s
Step-by-step explanation:
Find the slope of the line through the points (-2, 1) and (0,4).
Answers
Answer:
-3/2 is the answer
y2-y1
x2-x1
4-1=3
0-2=-2
What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?
Answers
Answer:
x = 0
Step-by-step explanation:
24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7
solve the brackets by using the distribute property:
1(3x - 9) = 3x - 9
-2(2x - 10) = -8x + 20
rewrite the equation:
24 - 3x - 9 - 6 = -8x + 20 + 5x + 7
combine like therms:
27 - 3x = -3x + 27
subtract 27 from both sides:
27 - 3x - 27 = -3x + 27 - 27
- 3x = -3x
add x to both sides of the equation:
-3x + 3x = -3x + 3x
x = x or 0 = 0
to check, substitute 0 for x
24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7
anything times 0 is 0
24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7
solve:
24 + 9 - 6 = 0 + 20 + 0 + 7
27 = 27
warm up !!!!!!!!!!!!
Answers
Answer:
Option C. Rational numbers can be written as a fraction where denominator is not zero.
Answer:
B
Step-by-step explanation:
Hope this helps D:
Help me please, what are the new points??
Answers
Answer:
Step-by-step explanation:
Addiction is a journey that leaves you feeling stranded and alone. Come home to a substance-free lifestyle at New Points™. New Points™ is one of the world's first sober-living communities for men and women created specifically for the recovery process.
which expression eqaul 9 when x = 4 and y = 1/3
Answers
Answer:
it is 9
Step-by-step explanation:
you add the 4 and times 3
What is the solution to the equation below?
50+4= 2(C-5)
I need help I don’t know how to solve this problem!
Answers
Answer:
c=28
Step-by-step explanation:
50-4=2(c-5)
apply distributive property
50-4=2c-10
now simplify
46=2c-10
56=2c
28=c