Answer: x ≥ 17
Step-by-step explanation:
We know that she worked 7 hours at a dinner, for $10 per hour last week.
Then in the last week, she did make:
7*$10 = $70
Now she babysits, she wins $8 per hour, then if she works x hours, she will win:
w(x) = $8*x
if we add the $70 that she already had, we have:
$70 + $8*x
And we know that she wants to have, at least, $206, then we can write the inequality.
$70 + $8*x ≥ $206.
Now let's solve this for x.
first, we can subtract $70 in both sides:
($70 + $8*x) - $70 ≥ $206 - $70
$8*x ≥ $136
now we can divide by $8 in both sides:
($8*x)/$8 ≥ $136/$8
x ≥ 17
This means that she must babysit for at least 17 hours if she wants to buy the dress.
Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support Candidate R and the rest support Candidate T. How many people in the group are in favor of a flat tax
Missing Information:
Of the people in the group who support Candidate R, 58 percent are in favor of flat tax Of the people in the group who support Candidate T, 22 are in favor of a flat tax.Answer:
[tex]Total = 26.1\%N + 22[/tex]
Step-by-step explanation:
Given
[tex]R = 45\%[/tex] -- [tex]Percentage[/tex] [tex]of\ R[/tex] in the total population
[tex]Favor\ Flat\ Tax = 58\%[/tex] in group R
[tex]Favor\ Flat\ Tax = 22[/tex] in group T
Required
Determine the number of people that supports T
First, the proportion of those that supports flax rate in R needs to be calculated.
[tex]Proportion = 45\% * 58\%[/tex]
[tex]Proportion = 26.1\%[/tex]
So, those that favor flat tax rate in group R are:
[tex]Favor\ Flat\ Tax = 26.1\%N[/tex]
Where N represents the total population.
Total number of people that supports the flax tax rate is gotten by adding people that support flat tax rate in each group.
[tex]Total = Group\ R + Group\ T[/tex]
[tex]Total = 26.1\%N + 22[/tex]
If f(x)=|x+7|, find f(−12).
−19
−5
5
19
Answer:
5
Step-by-step explanation:
insert f(-12) for f(x) and solve
f(-12)=|-12+7|
add -12 and 7
f(-12)=|-5|
absolute value makes it positive
f(-12)=5
If f(x)=|x+7|, the value of f(-12)=5
Given :
the function f(x)=|x+7|. Lets find out f(-12)
f(x) is an absolute function . Absolute function always gives us positive value .
for example |-6|=6
In f(-12) the value of x is -12
To find f(-12) we replace x with -12 in f(x).
[tex]f(x)=|x+7|\\f(-12)=|-12+7|\\f(-12)=|-5|\\f(-12)=5[/tex]
so, we got f(-12)=5
The answer is 5
Learn more : brainly.com/question/19661937
Help! What are the answers?!! I'll give a brainlist.
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) nothing, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
need some help (Geo)
Solve the inequality −3(x−43)≤6
Answer:
x<41
Step-by-step explanation:
-3(x-43)<6
-3x+129<6
-3x<-123
x<41
There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability of that child getting a green marble?
a) .66
b) .40
c) .33
d) . 10
Answer:
D homie
Step-by-step explanation:
Solve the formula for the specified variable.
d = bx for b
Answer:
d/x
Step-by-step explanation:
[tex]d=bx\\\frac{d}{x} =b[/tex]
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
the graph below shows the cost of tomato plants for each plant purchased. What is the cost of one tomato plant.
Answer:
2.50
Step-by-step explanation:
Answer:
2.5 so $2.50 is your awnser
The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11
1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?
Answer:.
Step-by-step explanation:
Solve for x !!!!!!!!!!!
Answer:
C
Step-by-step explanation:
what percent of 30 is 12?
Can somebody help me solve this equation?
Which fraction is equivalent to 2/4
Answer: 1/2
Step-by-step explanation:
2/4=1/2
Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.
Step-by-step explanation:
Does 5 2/3 equal 34/6?
Answer: yes, 34/6 converted into a mixed number is 5 2/3
Hope this helps..... Stay safe and have a Merry Christmas!!!!!!!!!!!! :D
I just wish i could get at least 25 friends by Christmas because my account got deleted yesterday..
The number of goals scored by a soccer team varies directly as the number of shots on goal. If the lakeside bears scored 4 goals after 48 shots on goal, how many more shots on goal should the team game to score 3 more goals
Answer:4x
Step-by-step explanation:
9,492÷20=
WITH REMAINDER
Answer:
9492 divided by 20 equals
474 with a remainder of 12
Step-by-step explanation:
or 2373/5 or 474.6
Michael returned a bag of cans and received $4.65 back. If the deposit for each can was $0.05, how many cans did he return?
Answer:
I'm not sure
Step-by-step explanation:
Erica purchased adult and youth tickets for a movie. She bought x adult tickets for $7 each and y youth tickets for $5. Write an expression that can be used to show the total cost, C, of all tickets.
PLZ HELP IM FALING :o
i will give brainlyest
Answer:
C = 7x + 5y
Step-by-step explanation:
Algebraic Expressions
Erica purchased tickets for a movie. It's given each adult ticket cost $7 and each youth ticket cost $5.
If each adult ticket cost $7 and she bought x tickets, then she spent 7x dollars on adult tickets.
Similarly, if each youth ticket cost $5 and she bought y tickets, then she spent 5y dollars on youth tickets.
The total cost C is the sum of the individual costs, thus:
C = 7x + 5y
What is 7 divided by 9.8?
Answer:
The answer is 0.71
Step-by-step explanation:
I divided it
what is it???????????
Answer:
4/5
Step-by-step explanation:
The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.
Answer:
slope = 4/5
Step-by-step explanation:
The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines
y value - y value over x value - x value
Points: (-2,0) and (3,4)
4-0 = 4
3-(-2) = 5
4/5
Your answer must be simplified.
−3 < x -10
Answer:
7 < x
Step-by-step explanation:
−3 < x -10
Add 10 to each side
−3+10 < x -10+10
7 < x
If the length of a side of a square is increased by 3 cm, the perimeter of the new square is 40 cm more than twice the length of a side of the original square. Find the dimensions of the original square
Answer:
4cm by 4cm
Step-by-step explanation:
x+3+x+3+x+3+x+3=40
4x+12=40
4x=40-12
4x=28
x=28/4
x=7
original dimension=7-3
=4cm
The required original dimension of the square is 7.
Given that,
If the length of a side of a square is increased by 3 cm, the perimeter of the new square is 40 cm more than twice the length of a side of the original square. To determine the dimensions of the original square.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the length of the square be x,
Now,
According to the question,
The perimeter of the square = 40
4 (x + 3) = 40
x + 3 = 10
x = 7
Thus, the required dimension of the square is 7.
Learn more about simplification here: https://brainly.com/question/12501526
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HELP HELP PLEASE IMPORTANT
Answer:
2010
Step-by-step explanation:
1/2(24)(20)=240
50*45=2250
2250-240=2010
Use the table to write the rule (equation) for the relationship between x
and y.
х
y
0
-2
-1
1
2
0
Answer:
y=x-2
Step-by-step explanation:
y= 0-2=-2
y= 1-2=-1
y= 2-2=0
(please mark me as brainliest)
A triangle has a base length of 12 inches and a height of 14 inches. From that
information, answer the following:
What is the area?
Find each angle measure in the triangle.
Step-by-step explanation:
2x + 3x + 4x = 180
9x = 180
x = 20
2x = 2(20)=40
3x = 3(20)=60
4x = 4(20)=80
For a craft project, Jackie spent 45 minutes beading, 10 minutes painting, and 25
minutes sewing.
How much time did she spend working on her project?
Answer:
1 hour and 20 minutes
Step-by-step explanation:
45+25+10=80 minutes which equal 1 hour and 20 minutes
Help pls:( I’ll give you a crown if it’s right
Answer:
(9/5, 3) and (9, -3)
Step-by-step explanation: