, Natasha worked 7 hours at a diner for $10 per hour last week. She also makes $8 per hour when she babysits. She wants $206 for a prom dress. Create an inequality to show how many hours she must babysit.
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.
helppppppppppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
A and C
Conclusions from data - confidence intervals and margins of error
right answers only!
Answer:
Is Something supposed to be attached?
Step-by-step explanation:
There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answer:
13 / 19
Step-by-step explanation:
Given that :
U = 130
Let :
s = swimming pool
t = track
g = gym
n(g) = 61 ; n(s) = 68 ; n(t) = 60
n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19
n(g n s n t) = 6
n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13
Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)
= 13 / 19
= 13 / 19
5. a) Determine the total surface area of
this tent, including the floor, in order to
estimate the amount of canvas needed
to construct it.
b) What is the volume of the tent?
13m
22 mm
13.5 m
3 m
I
4 m
4 m
Unit 6
Step-by-step explanation:
Radius of the conical part = radius of cylindrical part r=
2
3
m
Slant height of the cone l=2.8 m
Height of the cylinder, h=2.1 m
Canvas needed to make the tent = Curved surface area of the conical part + curved surface area of the cylindrical part.
Curved surface area of conical part = πrl=
7
22
×
2
3
×2.8=13.2
Curved surface area of cylindrical part =2πrh=2×
7
22
×
2
3
×2.1=19.8
Total surface area = Curved surface area of conical part + Curved surface area of cylindrical part
=13.2+19.8=33 m
2
Cost of 1 m
2
canvas = Rs. 500
Cost of 33 m
2
canvas =33×500=16500
Therefore, it will cost Rs. 16500 for making such a tent.
What is 1/3 (x + 15) = 3
Answer:
hi there
-6
Step-by-step explanation:
x=-6
Final Answer: [tex]x = -6[/tex]
Steps/Reasons/Explanation:
Question: What is [tex]\frac{1}{3} (x + 15) = 3[/tex]?
Step 1: Simplify [tex]\frac{1}{3}(x + 15)[/tex] to [tex]\frac{x+15}{3}[/tex].
[tex]\frac{x + 15}{3} = 3[/tex]
Step 2: Multiply both sides by [tex]3[/tex].
[tex]x + 15 = 3[/tex] × [tex]3[/tex]
Step 3: Simplify [tex]3[/tex] × [tex]3[/tex] to [tex]9[/tex].
[tex]x + 15 = 9[/tex]
Step 4: Subtract [tex]15[/tex] from both sides.
[tex]x = 9 - 15[/tex]
Step 5: Simplify [tex]9 - 15[/tex] to [tex]-6[/tex].
[tex]x = -6[/tex]
~I hope I helped you :)~
what is -8/9 as a decimal
Answer:
-0.89
Hope I helped
Which of the following is not equal to -5/6?
2p
O a) -(5/6)
b) 5/-6
C) -5/6
d) -(-5/6)
Write a function rule.
y is 9 less than the product of 8 and x.
Answer:
dumyemimynumifgmfdhum
un cuadro tiene 12 cm en sus lados ¿cuanto mide su area y su perimetro
Answer:
area es 48 cm
el perimetro es 144cm
Step-by-step explanation:
Please help due by tonight EXPLAIN because I don’t want it to be wrong it’s one question. If you don’t know, don’t answer.
Answer: C
Step-by-step explanation:
Find the sale price of the item. Round to two decimal places if necessary. Original price: $238.13 Markdown: 70% The sale price is $
pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due very soon!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$71.44
Step-by-step explanation:
PLEASEE HELPPP!
what is the measure of
Answer:
x=12
Step-by-step explanation:
Im not sure which measure you're talking about, but I'll show you what I did here:
A triangle = 180 degrees.
4x + 8x + 4x =16x
-8 - 1 - 3 = -12
180 = 16x - 12 -Add 12 to both sides
192 = 16x -divide by 16 to get x by itself
12 = x
Angle A = 88 degrees (8 times 12 then subtract 8)
Angle B = 47 degrees (4 times 12 then subtract 1)
Angle C = 45 degrees (4 times 12 then subtract 3)
A jet liner flying east with the wind traveled 2800 km in 4 hours 40 minutes. The return trip, flying against the wind, took 7 hours. Find the rate of the wind. *
Answer:
its pog
Step-by-step explanation:
Answer:
stop cheating on ur WRMS ALgebra 1 math test
Step-by-step explanation:
ik where u live
If –2 and –5 are the roots of the equation ax + bx + 20 = 0, find the values of a and b.
Answer:
a=2
b=14
Step-by-step explanation:
Step-by-step explanation:
a=2b=14.................
Need done soon as possible
Answer:
x = -9
Step-by-step explanation:
Applying midsegment theorem, we would have the following:
CB = ½(RT)
CB = x + 19
RT = x + 29
Plug in the values
x + 19 = ½(x + 29)
2(x + 19) = x + 29
2x + 38 = x + 29
Collect like terms
2x - x = -38 + 29
x = -9
What is the sum of -7 1/6 + 3 5/6 in simplest form?
Answer:
-3 1/3
Step-by-step explanation:
I need help with that.
Answer:
x=6
Step-by-step explanation:
work is shown in picture
60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?
Answer:
16:60 = 4/15
Step-by-step explanation:
Which statement best explains why the Tenth Amendment reserves some rights and powers to the states? The framers believed in the principle of federalism. The framers wanted the states to be more powerful than the national government. The framers wanted to limit citizens' rights. The framers wanted to control civil liberties.
Answer:
The farmers believed in the principal of federalism
Step-by-step explanation:
edge 2020
The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.
The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.
The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.
Read more on https://brainly.com/question/12623993?referrer=searchResults
can someone please help me with this work
Sarah said that 26÷8 is the same as/equal to 14÷4 and the answers are "3r2". What did Sarah do wrong? 5th grade math help fir my daughter. I think Sarah meant: 26÷8 is the same as or equal to 13÷4 instead of 14÷4 which is what she did wrong?
Answer:
Yes
Step-by-step explanation:
Yes, that is exactly what Sarah did wrong. Apparently, she tried to divide both the numerator and denominator in this problem by 2 (half) but divided the numerator incorrectly. 26 divided by 2 would equal 13 but Sarah mistakenly calculated it as 14 which would give her a totally different value when divided by the new denominator. If were to have divided correctly it would give her [tex]\frac{13}{4}[/tex] which is the same as [tex]\frac{26}{8}[/tex]
what’s the slope of the line?
Answer:
-10/3 or -3 and 1/3
Step-by-step explanation:
you can do y1-y2 over x1-x2 of two points
or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3
but its negative slope cause your going back 3 to the left
7k = 3k - 36
It’s gotta be a step by step equation
Brad has recorded insect activity data for 40 days. He has recorded 1/6 of the data needed for his science fair project. How many total days does he need to record data? Write an equation and explain how you used it to find your answer.
Answer:
240 days
Step-by-step explanation:
Create an equation where x represents the total number of days
Use the information that 40 days is 1/6 of the total:
40 = 1/6x
Now, solve for x:
40 = 1/6x
Multiply both sides by 6, since it is the reciprocal of 1/6
40 = 1/6x
240 = x
So, the total number of days he has to record data is 240 days.
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation 5 grams. How many mice must be weighed so that a 95% confidence interval will have margin of error of 0.6 grams?
Answer: n = 267
Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.
It can be calculated as
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
in which
z is z-score related to the confidence interval, which is this case is 1.96;
s is standard deviation;
n is the number in a sample;
So, the number of mice must be:
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]
[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]
[tex]\sqrt{n}=16.33[/tex]
n = 267
For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.
The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.
Given :
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with a standard deviation of 5 grams.95% confidence interval.The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:
[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]
where z is the z-score, s is the standard deviation, and n is the sample size.
Now, substitute the known values in the above formula.
[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]
Simplify the above expression in order to determine the value of 'n'.
[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]
n = 267
Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.
For more information, refer to the link given below:
https://brainly.com/question/20982963
5
The ink page yield for a printer cartridge indicates how many pages a cartridge
should print. A cartridge rated at 550 pages is 66% full.
How many pages should be left to print?
[2]
How many pages have already been printed?
Total
0
11
Ma
Evaluate. (-5/2)^2 I totally forgot how to do this
Answer:
25/4
Step-by-step explanation:
[tex] \bigg( - \frac{5}{2} \bigg)^{2} = \bigg( \frac{5}{2} \bigg)^{2} = \frac{ {5}^{2} }{ {2}^{2} } = \frac{25}{4} \\ [/tex]
Two mathematicians were both born in the last 500 years. Each lives (or will live) to be 100 years old, then dies. Each mathematician is equally likely to be born at any point during those 500 years. What is the probability that they were contemporaries for any length of time
Answer:
The answer is "0.36".
Step-by-step explanation:
we assume, that they are not blood-relatives, then we need both the dates (birth and death)
Births between 1512 and 2012 may occur at any time, and all of the math forms are what we have to be born at least 100 years apart.
Pr(Mathematician 1 is born inside an interval of 1512-2012 on a particular year)= [tex]\frac{1}{50000}[/tex])
Mathematician 2 born in 1512-2012 interval on every specific year) = [tex]\frac{1}{50000}[/tex]
S Year of birth'
After that, We need to find all of the years of absolute value (birth the year Mathematician 1-birth year of Mathematician 2) <= 100 or give the probability of this happening.
Prob(Mathematician 1 birth between 1512-2012 in a specific group of 100 years):
[tex]\to \frac{100}{500}=\frac{1}{5}[/tex]
For just a mathematician, are using the same rationale 2.
By using fact for freedom now Pr(that the dual births are divided by 100 years)) = 1-Pr(they are divided by more than 100 years):
[tex]\to 1- (\frac{400}{500})^2 \\\\\to 1- (\frac{4}{5})^2 \\\\\to 1- \frac{16}{25}\\\\\to \frac{25 -16}{25}\\\\\to \frac{9}{25}\\\\\to 0.36[/tex]
What is the range of the function f(x) = 1/2^x?