Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
Answer:
227 children and 109 adults
Step-by-step explanation:
227*1.5+109*2.5=613
227+109=336
Which of the following is equal to g(x)?
A. 1/3 (x)
B. (x+3)
C. (x) - 3
D. (x - 3)
Which is the slope of the line that passes through the points (3,17) and (7,25)?
Answer:
The slope is 2.
Step-by-step explanation:
helppppp meeeee plz i'll give brainliest!!!
Answer:
1
Step-by-step explanation:
2m + 4 = 6
2m = 6 - 4
2m = 2
m = 1
the answer is one.. ....
A sports team is building a new stadium on a rectangular lot of land. If the lot measures 7x by 7x and the sports field will be 5y by 5y, how much of the lot will be left over to build bleachers on?
Answer:
Area of rectangular lot= l * f
Step-by-step explanation:
Area of rectangular lot= l * f=7x*7x = 49x^2
Area of stadium= 5y*5y = 25y^2
Area left of build bleachers = 49x^2 - 25y^2
11. Find the H.C.F of 96 and 120.
Answer:
24.
Step-by-step explanation:
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Then the greatest common factor is 24.
simplify
√(8+2√15)
Please hurry
Decimal form is 3.96811878
Which of the following is a classified as a trinomial
Answer:
A
Step-by-step explanation:
theres 3 ( x³, -3x, 3)
Answer:
A) x² - 3x + 3
Step-by-step explanation:
A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.
In other words, a trinomial is a polynomial consisting of three monomials.
The dog-to-cat ratio at the adoption center is 7:3 The total number of dogs and cats is 110. How many dogs are at the adoption center? How many cats?
Answer:
77 dogs
33 cats
Step-by-step explanation:
7+3 = 10
110 ÷ 10 = 11
11 x 7 = 77
11 x 3 = 33
-2x + 4 = 3
how would you solve this problem?
Solve for x.
0.5x+78.2=287
Answer:
x =417.6
Step-by-step explanation:
0.5x+78.2=287
Subtract 78.2 from each side
0.5x+78.2-78.2=287-78.2
.5x =208.8
Divide each side by .5
.5x/.5 = 280.8/.5
x =417.6
what is 2/8 divided by 3/4
Answer:
1/3
Step-by-step explanation:
2/8 ÷ 3/4
Copy dot flip
2/8 * 4/3
Simplify
2*4 / (8*3)
8/24
1/3
Answer:
0.333333333333 should be the answer, hope this helps!
For which function does f decrease by 15% every time x increase by 1? A: f(x)= 0.15^x B: f(x)=8.5^x C: f(x)=15^x. D: f(x)=85^x
Answer:
[tex]f(x) = (0.85)^x[/tex]
Step-by-step explanation:
Exponential amount of decay:
The equation for an amount that decays exponentially has the following format:
[tex]A(x) = A(0)(1 - r)^x[/tex]
In which r is the decay rate, as a decimal.
Decrease by 15%
This means that [tex]r = 0.15[/tex]. So
[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]
So
[tex]f(x) = (0.85)^x[/tex]
write a liner equation that passes through the point (2, -9) and has a slope of -5
Answer:
y=-5x-9
Step-by-step explanation:
A bag contains 4 green marbles, 5 yellow marbles and 6 red marbles. What is the
probability of selecting a yellow or red marble? Justify your answer.
Answer:
11/15
Step-by-step explanation:
P('Y' or 'R') = 5/15 + 6/15 which is 11/15
Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%
Answer:
0.25 and 25% are equivalent
Step-by-step explanation:
The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².
The area of the new park is ___ yd².
Answer: I think it’s Area of the new park is 602000 yd
Answer:
90,375 yd^2
Step-by-step explanation:
A scale factor of three means that the park will be 3 times larger than the original, they may use fancy words, but it’s that simple.
30,125 * 3 = 90,375 yd^2
In the diagram below of triangle UVW, X is a midpoint of UV and Y is a
midpoint of VW. If mZXYV = 7x + 21, and mZUWY = 91 – 7x,
what is the measure of ZXY?
V
X
Y
U
W
Given:
In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle UWY=91-7x[/tex]
To find:
The measure of angle XYV.
Solution:
Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.
If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.
[tex]\angle XYV \cong \angle UWY[/tex] [Corresponding angle]
[tex]m\angle XYV=m\angle UWY[/tex]
[tex]7x+21=91-7x[/tex]
We need to solve this equation for x.
[tex]7x+7x=91-21[/tex]
[tex]14x=70[/tex]
[tex]x=\dfrac{70}{14}[/tex]
[tex]x=5[/tex]
Now,
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle XYV=7(5)+21[/tex]
[tex]m\angle XYV=35+21[/tex]
[tex]m\angle XYV=56[/tex]
Therefore, the measure of angle XYV is 56 degrees.
What will be the new position of the given point (-2,7)after translation of 3 units up and 1 units left?
Answer:( -3, 10)
Step-by-step explanation:
please help!!! due soon :)))) (look at my other questions too)
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
The graph shows the movement of a car from point A to point D, there are two slant line AB and CD.
(1) Calculate the speed of the car during the first 10 seconds.
(2) For how long did the car stop.
(3) What is the average speed of the car for the whole journey.
(4) Why the line BC is flat not slant.
Answer:
The answer is below
Step-by-step explanation:
a) The speed of the car during the first 10 seconds is equal to the slope of the line AB. The line AB passes through (0, 0) and (10, 200)
slope = (200 - 0)/(10 - 0) = 20 m/s
The speed of the car during the first 10 seconds is 20 m/s
b) The time for the car to move from point A to point D = 60 seconds
c) Distance from point A to B = 200 m, distance from C to D = 500 - 200 = 300 m, distance from B to C = 20 m/s * 20 s = 400 m
Total distance from A to D = 200 + 400 + 300 = 900 m
Average speed = total distance / total time = 900 m / 60 seconds = 15 m/s
d) line BC is flat because the car moves at a constant speed from point B to point C. That is the speed does not change.
If −2x + 3 = 13, then 2x =____?
Thirty students were asked what their favorite number from 1 through 9 was. The results were 8 students said 3. 6 students said 4, 9 students said 7, and 2 students said 9. What is the experimental probability that the number 7 was picked as the favorite number?
Answer:
3/10
Step-by-step explanation:
From the question, we have the total number of sampled students as 30
9 students said 7 was their favorite
So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents
We have this as;
9/30 = 3/10
Complete the equation of this circle:
А
(x - [ ? ])2+(y - [ ])2= [ ]
equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,
so in first box - h
in second box - k
after equal to box = r²
Answer:
The answers that would be put into the question box's are: 3, 2, and 16:
(x - 3)^2 + (y - 2)^2 = 16 :)
Hope this helps
Please help <3 I am struggling
Answer:
Step-by-step explanation:
The distribution of the values of a population is shown below, and a simple Random sample is drawn from the population. Based on this information alone, can the same will be used to make inferences about the population?
Answer: C
Step-by-step explanation:
Yes, because the population values appear to be normally distributed
Write an equation of a line with the given slope and y-intercept. slope: - 13 y-intercept: –1
Answer:
y = -13x - 1
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify variables
Slope m = -13
y-intercept b = -1
Step 2: Find Equation
Substitute in variables [Slope-Intercept Form]: y = -13x + -1Simplify: y = -13x - 1Which of the following is a rational number
answer:
a. √36
step-by-step explanation:
a rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions√36 = rational — the answer to this is 6 and it is a whole number
-√12 = -3.46410161514... — it is repeating without an order so irrational
5/0 = irrational — the denominator cannot be a 0
π = irrational — pi is always irrational
i give u brainliest if u answer
Answer: B & D
Step-by-step explanation:
what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x
Answer:
Step-by-step explanation:
according to the question equation is
5x+8+3x=26+6x
8x+8=26+6x
8x-6x=26-8
2x=18
x=18/2
x=9
Answer:
x=9
Step-by-step explanation: