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.
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
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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
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.
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 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]
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 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.
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 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.
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:
(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]
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
QUESTION REFER TO ABOVE ATTACHMENT .
( Notes ) :-
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• Need answer step - by - step explanation .
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
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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:
F(x)=80-15x. When x is 2.5, what is the function's value?
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?
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]
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
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.
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.
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 :)
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
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
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
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
Compare 4:10 and 12:20 using fractions. Which ratio is smaller? How do you know?
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]
Help please.. DuE Today. No LiNkS!!
Thanks! 8th Grade Mathh
No.2
Answer:
[tex]\text{(C).} ~~y=-2x+3[/tex]
Step-by-step explanation: