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
The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20∘C20, degrees, start text, C, end text. Lainey tried to swim on Monday and Thursday (which was 333 days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was 30^\circ\text{C}30∘C30, degrees, start text, C, end text on Monday, but decreased at a constant rate in the next 333 days.
Answer:
Inequality: 30 - 3d ≤ 20
Rate of decrease from Monday to Thursday: greater than or equal to 10/3 degrees Celsius per day
Step-by-step explanation:
Translate theconditions into mathematical terms:
HIgh temperature on Monday = T₀ = 30°C.
The temperature decrease at a constant rate in the next 3 days. Call d such rate, so T₃ = T₀ - 3d = 30 - 3d
That the pool is open when the high temperature is higher than 20°C means that, if the pool is closed, then the temperature is less than or equal to (≤) 20°C:
30 - 3d ≤ 20
And that is the requested inequality.
From that, you can solve for the rate of temperature decrease, d:
Add 3d to both sides: 30 ≤ 20 + 3d
Subtract 20 from both sides: 10 ≤ 3d
Divide both sides by 3: 10/3 ≤ d
Apply symmetry property: d ≥ 10/3
Hence, the rate of temperature decrease is greater than or equal to 10/3 degrees Celsius per day, from Monday to Thursday.
Answer:
30 - 3d ≤ 20
d≥10/3
Step-by-step explanation:
How i can answer this question
Answer:
4k+11
Step-by-step explanation:
There you go. Happy to help.
1/2.5+1/5.8+1/8.11+...+1/97.100
Answer:
that's is the correct answer
Step-by-step explanation:
hope it helps
in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram
The total number of students who studied only two subjects is 13.
The given parameters:
Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2xThe number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;
[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]
Thus, the total number of students who studied only two subjects is 13.
Learn more about overlapping three sets here: https://brainly.com/question/2041029
When we first learn arithmetic, we focus on working with whole numbers. Then, we extend our understanding to fractions and negative numbers.
In algebra, we transfer these same skills to expressions involving variables. What elementary skills have you used so far in this course, and how have you extended them?
PLESE ANSWER AS FAST AS YOU CAN, IT MEANS ALOT!
Answer:
I don't think I can remember every skill I was taught through the years but in Kindergarten we used Number Sense so we could understand the meaning of more and less also there's estimation and PEMDAS. I've also learned how to round up so that the solution is at least around those numbers if the skill is to be applied.
hope that helps
Step-by-step explanation:
Erica has $12 credit on her Cel-Tel phone card. It costs her $1 to make a phone call using her Cel-Tel card. Erica also has $15 credit on her MTT phone card. It costs her $2 to make a phone call using her MTT card. Which system of equations can be solved to find the number of calls, x, that Erica can make and have the same amount of money, y, on both phone cards?
yy==−2x+15−x+12
y = - 2 x + 15 y = - x + 12
yy==2x+15−x+15
y = 2 x + 15 y = - x + 15
yy==−2x−15−x−12
y = - 2 x - 15 y = - x - 12
yy==15x−212x−1
y = 15 x - 2 y = 12 x - 1
Answer: b
Step-by-step explanation:
Using the digits 1 to 9, without repeating any numbers, place a digit in each box that will create 3 equivalent ratios.
6:3 = 14:7 = 58:29
hope this is helpful!
High school Geometry
Answer:
the answer is b. sss is not possible
15(x + 3)2
Box the exponent (s)
please help
Answer:
"2" is the exponent
Step-by-step explanation:
There is no exponent in your expression.
__
When the expression is typeset, the superscript text is considered to be an exponent:
[tex]15(x+3){\boxed{^2}}[/tex]
When the expression is written in plain text, the exponent is indicated by a caret (^):
[tex]\textsf{15(x+3)\^\ \!\!\boxed{\textsf{2}}}[/tex]
Answer:
[tex] {15x}^{2} + 90x + 135 \\ [/tex]
Step-by-step explanation:
[tex]15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\ 15 |(x(x + 3) + 3(x + 3)| \\ 15( {x}^{2} + 3x + 3x + 9) \\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 90x + 135 \\ [/tex]
5p coins weigh approximately 3 grams
what would the weight of £5 worth of 5p coins ?
give your answer in kg
Answer:
0.3kg(300g)
Step-by-step explanation:
£1=100p
£5=500p
5p=3g
500p=x
x=500*3/5
x=300g
Step-by-step explanation:
£5 in pence is 500p
The number of 5p coins in 500p is:
500/5 = 100 (5p coins)
each 5p coin weighs 3g
therefore the £5 weighs in grams:
3x100 = 300g
To change to Kg: 300/1000 = 0.3 Kg
yo can i get sum help over here
Answer:
0.1 i think
Step-by-step explanation:
each line is 0. *number* until u reach 1 then it goes to 1.*number*
Answer:
0.1
Step-by-step explanation:
PLEASE ANSWER THIS !!!
m>17.2
What word sentence represents this inequality?
3: A number is less than 17.2
2: A number is greater than 17.2
1: A number is at most 17.2
Answer:
2. "a number is greater than 17.2"
Step-by-step explanation:
m > 17.2 can be read by saying "the number m is greater than the number 17.2" which also can be read as 2. "a number is greater than 17.2"
If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?
what is 12/3/5 simplified?
Answer:
1/4
Step-by-step explanation:
Divide both the numerator and denominator by the GCD 9 ÷ 9
36 ÷ 9
Reduced fraction: 1/4 Therefore, 9/36 simplified to lowest terms is 1/4.
B =
Round your answer to the nearest hundredth.
Answer:
Angle B = 48.19
#Rounded off to the nearest hundredth after the decimal point
Step-by-step explanation:
As Seen in the diagram is a right angled triangle and by using the infamous laws of Trigonometry, we can use the Trigonometric ratios in an indirect sense to find our answer...
Now to solve this question we need to first see what values are given to us! So the values given to us are
Hypotenuse= 3
Adjacent= 2
C= 90° (since it is the angle opposite to the hypotenuse and if observed with every right angled triangle, it will always be the case)
B=?
A=?
Questions objective= find B
I shall provide a labelled version of right angled triangle which shall aid where is the adjacent, opposite or the Hypotenuse below
Now coming back to the question,
The Opposite side of the angle we are trying to find is the adjacent and there are many Trigonometric ratios but for the sake of the question, we will need to use the one affiliated with Cosine
the way we shall interpret it is quite simple
Cos ∅°= [tex]\frac{Adjacent}{Hypotenuse}[/tex]
Now by interpreting the values from the diagram
Cos A°= [tex]\frac{2}{3}[/tex]
Now to find the actual value of a number that has an operation that disrupts the actual value, we only need to use the inverse of the operation on it to find the actual value
so by this statement we need to put an inverse of Cos
∴ A°= [tex]Cos^{-1}[/tex]([tex]\frac{2}{3}[/tex])
A°= 48.1896851
Now we need to subtract the value of 180° - (Angle A + Angle C)
by doing so we will get the value of 41.82 (rounded off to the nearest hundredth)
hence B= 41.82 °
We can add up all the values and it will be approximately be equal to 180 (keep in mind that some of these values of triangle are irrational due to which they never end)
Please do double-check it as I could've made a mistake too
Till then a Thank You, aa 5 Stars or even better, A BRAINIEST will make my day
Take care of yourself and I guess the answers complete :)
pls help on my maths question
Answer:
Somewhat illegible but looks like the equation should be:
S = u t + 1/2 a t^2
100 = 20 + 1/2 * a * 4 where t = 2
a* 4 = 160
a = 40
HELP ASAP!! FULL RATING IF AWNSER!
ANSWER ALL PLEASE!!
IM STUCK!
Answer:
1: 3)
2: 2)
4: 3)
5: 4)
6: 4)
How do I find the scale factor‼️‼️
Answer:
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Which of the following points lies in the solution set of the inequality y > 3x +10?
(1) (1,10)
(3) (4, 20)
(2) (-1,3)
(4) (2,16)
Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct
In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if y is greater than the result.
For the coordinate point (1, 10)
y > 3(1) +10
y > 13
Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.
For the coordinate point (4, 20)
y > 3(4) +10
y > 22
Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.
For the coordinate point (-1, 3)
y > 3(-1) +10
y > -7
Since 3 is greater than -3, hence (-1, 3) lie in the solution set.
Learn more on inequality here: brainly.com/question/24372553
Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of $37,500.
a. Their odwn payment is what percent of the purchase price?
b. what percent of the purchase price would a 67,500 down payment be?
a. The down payment is __?__% of the purchase price.
(Type a whole number.)
b. A 67,500 down payment would be __?__% of the purchase price.
(Type a whole number.)
Divide the down payment by the purchase price then multiply by 100 to get the percent.
A. 37,500 / 150,000 = 0.25
0.25 x 100 = 25%
B. 67,500/150,000 = 0.45
0.45 x 100 = 45%
f(x) = 8x-3 and g(x) =4x +5; find (f /g) (x)
Answer:
32x + 37
Step-by-step explanation:
f(g(x)) = 8(4x+5) - 3
= 32x + 40 - 3
= 32x + 37
Find the slope of each line.
1)
Answer:
7/1 or 7
Step-by-step explanation:
because you rise (vertically) seven and run (horizontally) 1, so 7/1 but simplified it's just 7 so either is valid.
Betty makes 40 cupcakes per hour to find the number of cupcakes baked in h hours use the equation f(h)=40 evaluate f(5) and explain what it means
Answer:
Step-by-step explanation:
f(h) = (40 cupcakes / hr)*h
f(5) represents the number of cupcakes baked in 5 hours: 200 cupcakes
Graph: y =
|x – 4| + 2
This is a photo of answer
Answer:
see attached
Step-by-step explanation:
The constants in the function shift the absolute value graph right 4 units and up 2 units. The attachment shows the translated function.
3 In AABC, 2C = 90°, then which of the following is true? a) ABP = BCP + AC b) AC2 = AB? + BC2 c) BC2 = AB? + ACP d) AC = AB + BC
Answer:
a bit hard q
Step-by-step explanation:
becoz i am not good at algebra
the sum of three numbers is 182, the second is 6 times bigger than the first and the third is 14 times bigger than the second number, what are those numbers?
Answer:
The numbers are [tex]2,12,168[/tex]
Step-by-step explanation:
Let the numbers be [tex]a,b,c[/tex]
We have
The sum of three numbers is [tex]182[/tex]
[tex]a+b+c=182-----eqn1[/tex]
The second is [tex]6[/tex] times bigger than the first
[tex]b=6a-----eqn2[/tex]
The third is [tex]14[/tex] times bigger than the second number
[tex]c=14b-------eqn3[/tex]
Substituting in eqn 3
[tex]c=14\times 6a=84a ----eqn4[/tex]
Substituting in eqn 1
[tex]a+6a+84a=182\\\\91a=182\\\\a=2[/tex]
Substituting in eqn 2
[tex]b=6\times2=12[/tex]
Substituting in eqn 3
[tex]c=14\times12=168[/tex]
The numbers are [tex]2,12,168[/tex]
The first number is a , the second number is b , the third number is c
( 0 < a < b < c )
The sum of three numbers is 182
⇒ a + b + c = 182 (1)
The second is 6 times bigger than the first
⇒ b = 6a (2)
The third is 14 times bigger than the second number
⇒ c = 14b = 14.6a = 84a (3)
(1),(2),(3): ⇒ a + 6a + 84a = 182
⇒ 91a = 182
⇒ a = 2
⇒ b = 6a = 6.2 = 12
⇒ c = 14b = 14.12 = 168
Those numbers are 2 , 12 , 168
ok done. Thank to me :>
Which pairs of angles are alternate interior angles? Select all that apply.
There are two vertical parallel lines and a transversal. The angle formed by the transversal on the left of the first vertical line are labeled as 1, and 2, and the angle formed by the transversal on the right of the first vertical line are labeled as 3 and 4. The angle formed by the transversal on the left of the second vertical line are labeled as 5 and 6, and the angle formed by the transversal on the right of the second vertical line are labeled as 7 and 8.
Answer:
9 and 10 i dont know why they have us doing this confusing stuff
Step-by-step explanation:
If y varies directly as x, and y= 12 when x = 4, what is y when x = 8?
Answer:
24 !!
Step-by-step explanation:
Simple, x got doubled, and since y varies directly as x, 12 doubled = 24. I hope this helps!!!
PLZ HELP
Use the distributive property to remove the parentheses.
Answer:
I don't know if i did this correctly because i can't find my notes but i hoped i helped.
Step-by-step explanation:
I need help with this
Answers:
Square = 8Triangle = 3Circle = 2Hope you could get an idea from here.
Doubt clarification - use comment section.