Answer:
# of children = 170, # of Adults = 492 - 170 = 322
Step-by-step explanation:
Define C and A as
C = # of children
A = # of adults
Then,
A + C = 492
1.5C + 2.5A = 1060, so that
1.5C + 2.5(492 - C) = 1060
1.5C + 1230 - 2.5C = 1060
-C = 1060 - 1230
C = 170
You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90° counterclockwise about the origin.
Answer:
70
Step-by-step explanation:
Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).
When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:
⇒ Vertex D(-2, 2) becomes D'(-2, -2),
⇒ Vertex E(1, 5) becomes E'(-5, 1),
⇒ Vertex F(4, -1) becomes F'(1, 4),
This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.
Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).
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the area of the floor in George Square bedroom is 25 feet squared what is the length of his bedroom?
If the height of his room is 6 feet how much wall surface does he have in his room?
Answer:
1. 6.25 square feet
2. 37.5 square feet
Step-by-step explanation:
25 divided by 4=6.25
6.25x6=37.5
Answer:
Length of his bedroom is 5 Ft
Wall Surface he have in his room is 120 ft^2
Step-by-step explanation:
Identify the common difference of the sequence: -8, -1, 6, 13,...
Please do not post suggestions to go to random sites for the answers. I'm on a timed test. Don't waste my time.
A. -6
B. -7
C. 7
D. 6
Answer:
c positive seven because to find the common difference we have subtract -1from-8 that's I (T2-T2)
Rose and Liz both belong to a club of 20 members. A committee of 4 is to be selected at
random from the 20 members. Find the probability that both Rose and Liz will be
selected
Using the hypergeometric distribution, it is found that there is a 0.0316 = 3.16% probability that both Rose and Liz will be selected.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
Club has 20 members, hence [tex]N = 20[/tex]The committee has 4 members, hence [tex]n = 4[/tex]Rose and Liz are 2 of the members, hence [tex]k = 2[/tex]The probability that both are selected is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,20,4,2) = \frac{C_{2,2}C_{18,2}}{C_{20,4}} = 0.0316[/tex]
0.0316 = 3.16% probability that both Rose and Liz will be selected.
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Please answer this question!!
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
Thank You!
Answer:
19.42 ft
Step-by-step explanation:
Triangle Outer Perimeter:
5ft + 5ft = 10ft
Semi-Circle Outer Perimeter:First let's find the circumference of the entire circle:
Circumference = 2πr
Circumference = 2π * 3
Circumference = 6π
Circumference = 6(3.14)
Circumference = 18.84
Now to find the perimeter of the semicircle, we divide that value by two:
6π = 18.84
(6π)/2 = (18.84)/2
3π = 9.42 ft
Total Outer Perimeter:10 ft + 9.42 ft = 19.42 ft
-Chetan K
Which expressions are equivalent to the one below? Check all that apply.
5 to the 3rd power times 5x
C and B sorry if I responded late I looked it up on my answer sheet
Factor the following polynomial x^2-9
Answer:
(x+3)(x-3)
Step-by-step explanation:
We know that [tex](a+b)(a-b)=a^2+b^2\\[/tex]
So, here we have x² and 9, which can be written as 3².
Therefore, we can have x=a and 3=b
So we get
(x+3)(x-3)
To check that we are correct, we can expand the brackets:
x²-3x+3x-9
=x²-9
Jane, Andre, and Maria pick apples. Andre picks three times as many pounds as Maria. Jane picks two times as many pounds as Andre. The total weight of the apples is 840 pounds. How many pounds of apples does Andre pick?
Answer:
Andre picks 252 lbs of apples
Step-by-step explanation:
Maria picks 84
84 x 3 is 252
252 + 252(2) + 84 = 840
Pls help can’t figure it out
Help me with this please
Answer:
178 maybe tell its right or wronv
At the gym , Lucy did 12 more pushups than Jeremy. If Jeremy did 25 push-ups how many push-ups did Lucy do.
Answer:
Lucy did 37 Push-up
Given:
Lucy 12 More than Jeremy
Jeremy 25
Step-by-step explanation:
If Lucy did 12 more than Jeremy that given you that It "Addition"
so 12+ 25 = 37
Therefore, Lucy did 37 Push-up.
There is 1/2 cupcake left from
Answer:
each boy will get 1/4 of a cupcake
Step-by-step explanation:
1/2 ÷ 2= 1/4
please help.... fast
Answer:
HLStep-by-step explanation:
It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles is congruent.
I'm confident that this is the answer.
Please Help
Geometry
x^2-6x+13 step by step to vertex form
Which property of multiplication is shown? 3 * (5 * 7) = (3 * 5) * 7
Answer:
the associative property
Answer:
It is the associative property of multiplication
Step-by-step explanation:
It is generally expressed as
(ab)c=a(bc)
3*(5*7)=(3*5)*7
105=105
[tex]x^{2} +2x-24[/tex]
Graph the line that represents the equation 3y = 2x + 9.
Please show a photo!! I need answer ASAP
Write the sides of GHI in order from shortest to longest
Answer:
IH, GH, IG
Step-by-step explanation:
We will use this key rule: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
The angle G is 59 degrees, H is 61 degrees and I is 60 degrees.
The smallest angle is 59 degrees, so the shortest side is the one opposite to that angle, which is side IH.
The largest angle is 61 degrees, so the longest side is the side opposite to that angle, which is side IG.
The side in-between these two is side GH, which is opposite to the 60 degree angle.
Watson and Alva each have the same total number of toy cars and trucks Watson has 4 boxes. Each of his boxes has 7 cars and 2 trucks. Alva
has 2 boxes. Each of his boxes has 11 cars and the same number of trucks
How many trucks are in each of Alva's boxes?
Answer:
Alva has 7 trucks in each box.
Explanation:
You need to determine the total number of toys Watson has. Watson has 4 (7+2) = 4(9) = 36 toys.
Set 36 equal to an expression for the number of toys Alva has. Using t for the number of trucks, 36 = 2 (11+t).Then, solve the equation.
36 = 2(11+t) 36 = 22 + 2t 14 = 2t7 = tSo how many trucks are in each of Alva's boxes?
7 Trucks!The number of trucks that Alva has is 7.
How many trucks does Alva have?A linear function is a function that is made up of a single variable that is raised to the power of one.
The general form of a linear equation is:
y = mx + b
Where:
y = dependent variable b = constant m = independent variableThe first step is to determine the total number of toy cars and trucks that Watson has.
Total number of toy cars and trucks that Watson has = (4 x 7) + (4 x 2)
= 28 + 8 = 36
Since Watson and Alva have the same number of toy cars and trucks, it means that Alva would also have 36 toy cars and trucks.
The equation that represents the total number of toy cars and trucks that Alva has is:
(2 x 11) + (2 x t) = 36
22 + 2t = 36
36 - 22 = 2t
14 = 2t
t = 14 / 2
t= 7
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Help!!!!!!!!!!!!!!!!
Answer:
geevehrhrirbirbrbrnrnrbrbrbrbrbblo Uruguay 7dm9 7dm9 uvo idilio icono iconorbtbrbbrbrbrbrjrjjrj4jrkkenenenrnrnnktkr
Step-by-step explanation:
higos arraigo titubear otorgó eurodiputados
answer question right or else
Answer:
60
Step-by-step explanation:
yes, it's a question
have a great day
NEED ANSWER FAST FOR BRAINLIEST (MUST GIVE EXPLANATION)
Louise's filling to 2 gallon buckets with water the equation Y equals 0.4 X models the number of gallons of water in the first bucket after X minutes this graph shows the number of gallons in the second bucket after X minutes which statement is true
A- The second bucket will be completely filled five minutes before the first bucket
B-The first book it will be completely filled five minutes before the second bucket
C-The second book it will be completely filled 11 minutes before the first bucket
D-The first bucket will be completely filled 11 minutes before the second bucket
Let's see
y=0.4xWhen y becomes 2 right?
[tex]\\ \sf\longmapsto 0.4x=2[/tex]
[tex]\\ \sf\longmapsto x=2/0.4[/tex]
[tex]\\ \sf\longmapsto x=5mins[/tex]
Option B
Consider the graph shown. What is the slope of the line above?
m=1/2
m=2
m= -1/2
m= -2
And which equation represent?
y= -1/2x-1
y= 1/2x-1
y= -2x+1
y= 2x-1
Answer:
i need points im so sorry
Nick’s house is between his school and the library, which are one mile apart on the same street. A mile is 5280 feet. After school, Nick walks 3195 feet to his house. How many more feet he need to walk to get to the library?
Nick's needs to walk 2,085 feet more to get to the library.
Given:
1 mile = 5,280 feet
Distance from Nick's school to his house = 3195 feet
Recall,
Nick’s house is between his school and the library, which is one mile apart
So,
Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house
= 5,280 feet - 3,195 feet
= 2,085 feet
Therefore,
Nick's needs to walk 2,085 feet more to get to the library.
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Need answer please !!
Answer:
Step-by-step explanation:
Least common denominator is 10
there are 10/10 portions in the whole circle
1/2 = 5/10
2/5 = 4/10
10/10 - 5/10 - 4/10 = 1/10
Winston ate 180 hot dogs in 9 hours. At that rate, how many hot dogs
would he eat in 12 minutes?
What is the length of the diagonal of the square shown below? 5 45° 5 5 90° 5 O A. 5
B. 10
C. 5
D. 5/5
E. 5.2
F. 25
The length of the diagonal of the square is d = 5√2.
Given that, the measure of the side of the square is 5.
We need to find the length of the diagonal of the square.
How to find the length of the diagonal of the square?The diagonal of a square formula is d = a√2; where 'd' is the diagonal and 'a' is the side of the square.
Now, d = 5√2
Therefore, the length of the diagonal of the square is d = 5√2.
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Please help!
Triangle ABC has angle measures as shown. Show work. Complete sentence.
(a) What is the value of x?
(b) What is the measure of angle CBA?
(c) What is the measure of angle CAB?
(d) When these 3 interior angles of a triangle are added together, what does it equal?
9514 1404 393
Answer:
(a) x = 22
(b) 46°
(c) 44°
(d) 180°
Step-by-step explanation:
Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.
(a)The sum of the marked acute angles is 90°.
2x +(3x -20) = 90
5x = 110 . . . . . . . . . . add 20, collect terms
x = 22 . . . . . . . . . divide by 5
__
(b)∠CBA = (3x -20)° = (3·22 -20)° = 46°
__
(c)∠CAB = 2x° = 2(22)° = 44°
__
(d)The sum of a triangle's interior angles is 180°.