Answer:
All real numbers (infinite solutions)
Step-by-step explanation:
To find the number of solutions, first, distribute and combine the like terms of the equation.
3(x+1)+x+2=2(2x+1)+3
3x+3+x+2=4x+2+3
4x+5=4x+5
Since both sides of the equation are equal, the number of solutions are infinite.
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 235 people entered the park, and the admission fees collected totaled 640 dollars. How many children and how many adults were admitted?
Answer: 115 Adults and 120 Children
Step-by-step explanation:
We have 2 unknowns: A is the number of Adults and C is the number of children.
We'll need at least two equations to solve for two unknowns.
One equation is easy: We know that A + C = 235, the total number of people who entered the park.
The second equation comes from the second fact that was provided: total admission fees were $640. We can write the sum of the two unknowns, A and C, when multiplied by their respective admission fee:
4A + 1.5C = $640 [$4 * the number of adults plus $1.5 * the number of children]
Rearrange the first equation for either variable, A or C. I picked A:
A = 235 - C
Now use this value for A in the second equation:
4A + 1.5C = $640
4*(235-C) + 1.5C = $640
-2.5C + 940 = 640
-2.5C = -300
C = 120 children
To find A:
A = 235 - C
A = 235 - 120
A = 115 adults
===
Double check to see if these value work:
C A
Fee($) 1.5 4
People 120 115
Income ($) 180 460
Total = 180 + 460 = $640
It works. 120 Adults and 115 Children.
Compare 4:10 and 12:20 using fractions. Which ratio is smaller? How do you know?
Help please.. DuE Today. No LiNkS!!
Thanks! 8th Grade Mathh
No.2
Answer:
[tex]\text{(C).} ~~y=-2x+3[/tex]
Step-by-step explanation:
F(x)=80-15x. When x is 2.5, what is the function's value?
(3 z + 1) + (5 + 7 z )
Answer:
10z + 5
Step-by-step explanation:
(3 z + 1) + (5 + 7 z )
3 z + 1 + 5 + 7 z [Remove parentheses]
10z + 5 [Combine like terms]
.
[tex]10z + 6[/tex]
[tex]3z + 7z + 5 + 1 = 10z + 6[/tex]
Overnight the low temperature dropped to-6 degrees Fahrenheit. If the temperature during the was 11 degrees Fahrenheit, what was the difference between the high and low temperatures?
Answer:
17 degrees F
Step-by-step explanation:
11 - (-6) = 17
Subtracting a negative is the same as adding.
a pond of a water has length20m and breadth 10m. how much kl of water should be taken out of the pond so that level of water should go down by 3m?
Answer:
600 kl
Step-by-step explanation:
The volume represented by a length of 20 m, a breadth of 10 m, and a depth of 3 m is ...
V = (20 m)(10 m)(3 m) = 600 m³
1 m³ = 1 kl
The volume of water that should be removed is 600 kl.
A car travels 286 km in three hours with a constant speed. How far can It travel in four hours with the same speed?
Answer:
381.(3) [km.]
Step-by-step explanation:
if according to the condition distance=286 [km] per 3 hours, then it is possible to make up the equation:
[tex]\frac{286}{3}=\frac{d}{4};[/tex]
and to calculate required distance 'd':
[tex]d=\frac{286*4}{3}=381.(3)[km].[/tex]
QUESTION REFER TO ABOVE ATTACHMENT .
( Notes ) :-
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The alteration has an effect on (K) I, II and III
The function is given as:
[tex]h = -at^2 + bt + c[/tex]
When the constant term (c) is altered, i.e. changed, the function becomes a different function entirely.
Take for instance, the new function is:
[tex]h = -at^2 + bt + c+ 1[/tex]
The functions [tex]h = -at^2 + bt + c[/tex] and [tex]h = -at^2 + bt + c+ 1[/tex] are different, and both functions will have different intercepts and vertices.
Hence, the alteration has an effect on (K) I, II and III
Read more about quadratic functions at:
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Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill
was $60.
What is Emika's monthly budget?
Emika's monthly budget is $60.
A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.
Let Emika's cell phone bill budget be represented with x.
In order to determine his monthly budget, divide $60 by 120%
x = $60 / 120%
x = $60 / 1.20
x = $50
To learn more about percentages, please check: https://brainly.com/question/25764815
write one in factor form with solutions 3,-1,-3i?
Answer:
Factored form: [tex](x-3)(x+1)(x^2+9)[/tex]
Expanded form: [tex]x^4-2x^3+6x^2-18x-27[/tex]
Step-by-step explanation:
[tex](x-3)(x+1)(x^2+9)[/tex]
[tex](x^2-2x-3)(x^2+9)[/tex]
[tex]x^4+9x^2-2x^3-18x-3x^2-27[/tex]
[tex]x^4-2x^3+6x^2-18x-27[/tex]
[tex]x-3=0[/tex] has a solution of [tex]x=3[/tex]
[tex]x+1=0[/tex] has a solution of [tex]x=-1[/tex]
[tex]x^2+9=0[/tex] has a solution of [tex]x=\pm 3i[/tex]
Please help with math problem! :)
Answer:
Step-by-step explanation:
y-8=2x-2
y = 2x + 6
y- intersect = 6
x- intersect = -6/2 = -3
Slope: 2
Write the inequality represented by the graph below
Answer:
y≥3x-1
Step-by-step explanation:
i did the thing
and y≥the mx+b
m=slope
b=y intercept
the symbol determines which way the shaded part faces
pls mark brainliest
Answer:
the guy up there is correct
Step-by-step explanation:
i tried the answer and it was correct
Aneesha determined that the cost of attending her public four-year college in her first year will be $6,220. If the average cost is expected to increase by 6%, what will be the cost of attending her second year in college?
A) $6,226.00
B) $6,257.32
C) $6,593.20
D) $6,820.00
Answer:
6593.2
Step-by-step explanation:
6,220*1.06 = 6593.2
Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3 miles due west. Family B leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1° north of due east.
Which family is farther from the marina? Explain your reasoning.
Answer:
A
Step-by-step explanation:
We can solve this by drawing it out
Family B has part of their north-south direction negated by going 1 degree north of east, because they are going south and then going north. Family A does not do this, and as a result, with all else equal, they go further away.
26 kg of potatoes cost $210.60. How much would 6 kg cost?
Answer:
$48.6
Step-by-step explanation:
We have to use Unitary Method, means, we'll first have to find cost of one unit.
26 Kg ---------> $210.601 Kg ---------> $210.60 / 266 Kg ---------> $210.60/26 x 6 = $48.6Hope it helps :)
Consider the function f (x) = -2/3x +5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box.
f (5/2)
Answer: 2.5
Step-by-step explanation:
PLZZ HELPPP!!!! I HAVE A EXAM TOMMOROW AND I HAVE TO FINSIH MY STUDY GUIDE..... AND I DONT KNOW THE ANSWERS PLZZZ HELP THE EXAM IS REALLLLLY IMPORTANT AND IS BASED ON WHETHER U PASS OR NOT AND AFFECTS UR GRADE BADLY!!!!!
Just focus I'm sure you will pass your exam :)
A potter can make 24 vases in 8 days. If the potter works 6 hours each day, how long does it take to make one vase?
The chess clubs at school decides to give $400 to a charity at Christmas time. If the chess club raised $1,000 fund raising. What percent of the fund raiser did they donate to charity
Answer: 40%
Step-by-step explanation:
To find the percent, divide the amount donated by the full amount of money raised. 400/1000 = 0.4.
Now to make this into a percentage, multiply the answer by 100. 0.4 * 100 = 40.
Percent of the fund raiser did they donate to charity 40%
What is percentage ?In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.
To find the percent,
divide the amount donated by the full amount of money raised. 400/1000 = 0.4.
Now to make this into a percentage,
multiply the answer by 100. 0.4 * 100 = 40.
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answer FAST please and i will give brainliest
Which represents the explicit formula for the arithmetic sequence an = 7 - 3(n - 1) in function form?
Answer:
f(n) = 7 - 3n + 3 and
f(n) = 10 - 3n or
f(n) = -3n + 10
Step-by-step explanation:
find three consectutive integers such that the sum of the second and third is -17
Answer:
-7, -8, -9
Step-by-step explanation:
-8 + -9 is -17
A set of 3 consecutive integers has a sum of 15. Which integers are they?
The answer is 4+5+6=15.Hope that helps. :)
Answer:
Step-by-step explanation:
Let the first number be x,
The second number (since it is consecutive) will be = x + 1
The third number (since it is right after the second) = (x+1) + 1 = x + 2
x + x + 1 + x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3 = 4
If the first number = 4,
Second number will be = 5 [(x+1) = 4+1]
Third number will be = 6 [(x+2) = 4 + 2]
Please help me Find the slope and please help me no links or bots please and thank you please actually help
Answer: slope for that is 1/2
Step-by-step explanation: rise over run y2-y1 x2-x1
A colony of bacteria is growing at a rate of 50% per hour.
If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours?
1139 bacteria
Answer:
1139
Step-by-step explanation:
The exponential growth rate formula is as follows:
F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have
A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get
F = 100(1+0.5)^6 = 1139
Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After one more round,he had 7 points. Express the change in points in the most recent round as an integer
Answer:
I think the answer would be +15.
Step-by-step explanation:
The change in points in the most recent round as an integer is given by 15 points.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After one more round, he had 7 points.
Assume that the change in points in the most recent round as an integer is given by [ΔR].
At -
R{7} = - 8 points
R{8} = 7 points
ΔR = R{8} - R{7}
ΔR = 7 - (- 8)
ΔR = 7 + 8
ΔR = 15 points
Therefore, the change in points in the most recent round as an integer is given by 15 points.
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A charity organization is having a fundraiser. The variable P models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets. P = 70n - 1500 How much money does the charity raise by selling a single ticket?
Step-by-step explanation:
the answer is the factor of n : 70.
with every sold ticket the charity raises $70.
add on :
to break even (to have at least 0 or more dollars as profit) they need to sell at least
70n - 1500 = 0
70n = 1500
7n = 150
n = 150/7 = 21.42857143...
that means, since they can't sell parts of tickets, they need to sell at least 22 tickets.
3. Amy raises $58.75 to participate in a walk-a-thon.
Jeremy raises $23.25 more than Amy. Oscar raises 3
times as much as Jeremy. How much money does
Oscar raise?
Company
PLZZ HELP!
Pete mixed 4 1/6 cups of popcorn with 3 5/6 cups of pretzels. He then divided the snack into bags with cups in each. After dividing, how many bags of snack bags will Pete have? ( btw it needs to be in fraction)
Answer:
3/10
Step-by-step explanation:
u divide the fractions and u got a decimal I change the decimal and got 3 so I changed it to a fraction and got 3/10