2.02b + 4.30 = 2.00b + 6.30
Answer: b = 100
Step-by-step explanation:
simplifying
2.02b + 4.30 = 2.00b + 6.30
reorder the terms:
4.30 + 2.02b = 2.00b + 6.30
reorder the terms:
4.30 + 2.02b = 6.30 + 2.00b
solving
4.30 + 2.02b = 6.30 + 2.00b
solving for variable 'b'.
move all terms containing b to the left, all other terms to the right.
add '-2.00b' to each side of the equation.
4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b
combine like terms: 2.02b + -2.00b = 0.02b
4.30 + 0.02b = 6.30 + 2.00b + -2.00b
combine like terms: 2.00b + -2.00b = 0.00
4.30 + 0.02b = 6.30 + 0.00
4.30 + 0.02b = 6.30
add '-4.30' to each side of the equation.
4.30 + -4.30 + 0.02b = 6.30 + -4.30
combine like terms: 4.30 + -4.30 = 0.00
0.00 + 0.02b = 6.30 + -4.30
0.02b = 6.30 + -4.30
combine like terms: 6.30 + -4.30 = 2
0.02b = 2
divide each side by '0.02'.
getting: b = 100
A cellular service provider charged a customer $40 for 150 minutes of airtime. The same provider charged another customer $55 for 300 minutes of airtime. What linear model represents the total cost, C, as a function of t, the amount of airtime in minutes?
Answer: C(t) =0.10t+25
Step-by-step explanation:
you can plug in the information as a slope of a line. (55-40)/(300-150) = 0.10
then enter it into the point slope form with point (150,40)= y-40=0.10(x-150) when done you get y=0.10x+25 which is the answer C(t)=0.10t+25
A craftsperson must attach a lead strip around all four sides of a stained glass window that is
8 4/5 in. by
14 17/25 in. before it is installed. Find the length of lead stripping needed.
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Answer:
46 24/25 in
Step-by-step explanation:
Opposite pairs of sides are the same length, so the total length needed is ...
2(8 4/5 +14 17/25) = 2(8 20/25 +14 17/25) = 2(22 37/25) = 2(23 12/25)
= 46 24/25 . . . inches
please help to find the answer
Answer:
\frac{2\sin(x)}{2\left(\cos(x)\right)^{3}-\sin(2x)} and \frac{2\sin(x)}{2\left(\cos(x)\right)^{3}+\sin(2x)}
Suppose the ages at retirement for workers in the U.S. are normally distributed with an unknown population mean and standard deviation. If a random sample of 43 retirees is taken to estimate the mean retirement age, what t-score should be used to find a 80% confidence interval estimate for the population mean?
Answer: 1.302
Step-by-step explanation:
The sample used was 43 retirees, so n=43. To find the degrees of freedom:
df=n−1=43−1=42
The confidence level is given in the scenario: 80%. So,
α=1−CL=1−0.8=0.2
But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.
We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).
The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean
What is the confidence interval?A confidence interval is a range of values, derived from a sample of data, that is likely to contain an unknown population parameter with a certain level of confidence.
here, we have,
The sample used was 43 retirees, so n=43.
To find the degrees of freedom:
df=n−1=43−1=42
The confidence level is given in the scenario: 80%. So,
α=1−CL=1−0.8=0.2
But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.
We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).
Hence, The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean
To learn more about the confidence interval, visit:
brainly.com/question/17097944
#SPJ2
in the number 32.8 which digit is in the ones place
help pls
Answer:
Step-by-step explanation:
the number 2 is in the ones place
its a pretty easy answer
Plz help me simply algebra problem
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex]\frac{-9p^{-5}(-7)r^{-7}(-4)p^{-4}}{4p^{-10}3p^{10}4p^{-2}}=\frac{(-9)*(-7)-(-4)*r^{-7}*p^{-5+(-4)}}{4*3*4*p^{-10+10+(-2)}}\\\\=\frac{(-3)*(-7)*(-1)r^{-7}p^{-9}}{1*1*4*p^{-2}}\\\\=\frac{(-21)r^{-7}p^{-9 - (-2)}}{4}\\\\=\frac{-21r^{-7}p^{-9+2}}{4}\\\\=\frac{(-21)r^{-7}p^{-7}}{4}[/tex]
I need help with this problem for my homework pls help
Answer:
x = 6.93
y = 13.86
Step-by-step explanation:
We can solve x by;
Tan(60) = 12/x
Tan(60) * x = 12
x = 12 / Tan(60)
x = 6.93
We can solve y by;
A² + B² = C²
12² + 6.93² = y²
144 + 48.02 = y²
192.02 = y²
[tex]\sqrt{192.02}[/tex] = y²
13.86 = y
Hope this helps!
If f(x) = 4x - 7 and g(x) = 2x + 4, evaluate fx) + g(x) for x = -3.
A-52
B --21
C-22
D-15
Answer:
Step-by-step explanation:
4(-3)-7+2(-3)+4
=-21
There are two packs of hyenas that live just outside of a small town in Harar, Ethiopia. Each night, the
packs fight to determine which pack can go through the city gate. The city provides unlimited food and
water to any hyenas that enter.
Is there competition taking place in the scenario? *
2 points
Yes
No
Answer:
yes
Step-by-step explanation:
the packs are fighting for a common goal against each other
so they are competing
In circle S with mZRST = 86 and RS = 4 units find area of sector RST. Round to
the nearest hundredth.
R
S
T
Answer:
[tex]Area = 12.00[/tex]
Step-by-step explanation:
Given
[tex]\theta = m\angle RST = 86^o[/tex]
[tex]r = RS = 4[/tex]
Required
Area of RST
The sector area is calculated using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{86}{360} * 3.14 *4^2[/tex]
[tex]Area = \frac{86* 3.14 *4^2}{360}[/tex]
[tex]Area = \frac{4320.64}{360}[/tex]
[tex]Area = 12.00[/tex] ------------ approximated
Find the measures of the acute angles of the right triangle shown
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Answer:
2x° = 64°(x-6)° = 26°Step-by-step explanation:
The acute angles in a right triangle are complementary:
2x° +(x -6)° = 90°
3x = 96 . . . . . . . . . divide by °, add 6
x = 32 . . . . . . . . . divide by 3
(x-6)° = (32 -6)° = 26°
2x° = 2(32)° = 64°
The acute angles have measures 26° and 64°.
A service station charges $251 for four
new tires and installation. If the
installation portion of the bill is $84,
what is the price of one tire? Write and
solve an equation.
Answer:
$41.75
Step-by-step explanation:
$251-84=167
167 divided by 4 is $41.75
Hope this helps! :)
Order the side lengths
Answer:
Step-by-step explanation:
First fill in the missing angles of each triangle:
angle IJK = 180-47-51 = 82°
angle KJL = 180 - 63 - 57 = 60°
Within EACH triangle, the side length is proportional to the opposite angle.
Therefore for triangle IJK,
JK < JL < IK
and for triangle JKL
JL < KL <JK
so combining (chaining) the two inequalities,
JL < LK <JK < JL < IK
Answer:
Step-by-step explanation:
first lets find angle J in triangle IJK
for angle J
47 + 51 + angle J =180 degree (sum of interior angle of a triangle )
98 + angle J =180
angle J =180 - 98
angle J =82 degree
Now lets find angle J in triangle JKL
for angle J
57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)
120 + angle J =180
angle J = 180 - 120
angle J =60 degree
now lets place the angle from samllest to largest
angle I = 41 degree
angle K = 51 degree
angle K of JKL triangle = 57 degree
angle J of JKL triangle = 60 degree
angle L =63 degree
angle J of IJK triangle = 80 degree
Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,
side opposite to angle I is JK
side opposite to angle K is IJ
side opposite to angle K of JKL triangle is JL.
side opposite to angle J of JKL triangle is LK.
side opposite to angle L is JK.
side opposite to angle J of IJK triangle is IK.
therefore required answer is
JK , IJ , JL , LK , JK , IK
A car moves at a constant speed of 90km/h from a starting point. Another car moves at 70km/h after 2hours from the same starting point. if both cars moves in the same direction, after how many hours will the distance between the first car and the second car to be 40 km.
Step-by-step explanation:
are you sure you wrote the problem here correctly ?
because the distance will be 40km after less than half an hour just by the first car driving. way before the second car even starts.
to be precise, it would be after 60 minutes × 40 / 90
(= how many minutes of an hour are needed to reach 40km while going 90km/h) :
60 × 40 / 90 = 60 × 4 / 9 = 20 × 4 / 3 = 80/3 = 26.67 minutes.
but maybe the question was about 400km distance between the two cars.
so, the first car goes 90km/h for 2 hours.
at that moment it will be 2×90=180km ahead.
that would mean that 220km are still missing for the 400km assumption.
with each hour driving the first car makes 20km more than the second car.
to build up 220km that way would require
220/20 = 11 hours.
plus the 2 original head start hours this would make 13 hours as overall answer.
5/8
of a sum of money is $240. What is the value of the sum of money?
Answer:
The total amount is 384
Step-by-step explanation:
Let m = the amount of money
5/8 of the money is 240
5/8 * m = 240
Multiply each side by 8/5
8/5 * 5/8 * m = 8/5 * 240
m =384
The total amount is 384
The number of accidents in a factory for each month is provided: Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26 Which hypothesis test would be appropriate for determining whether some months have a greater number of accidents than others
Answer:
Chisquare goodness of fit test
Step-by-step explanation:
Given the data:
Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26
The Chisquare goodness of fit test is used to test the relationship between the observed and theoretical or expected model data. Here, we make and assumption about the population using the sample distribution. For the goodness of fit test, there is only one observed variable, here it is the number of factory accident. The null hypothesis is of the claim that the number of factory accidents per month is the same for each month ;
Null hypothesis : Number of factory accident each month is the same ; while the alternative hypothesis is tests that some month gave greater number of accidents, that is ; the number of factory accidents is not the same for each month.
A couple plans on having three children. Suppose that the probability of any given child being female is 0.5, and also suppose that the genders of each child are independent events. a. Write out all outcomes in the sample space for the genders of the three children. b. What should be the probability associated with each outcome
Please help me on this question. Thanks
Answer:
E. p - 7 + 7 = 22 + 7
Step-by-step explanation:
p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)
p = 22 + 7
p - 7 = 22//
What is the value of p?
Answer:
133 - x = 180
x= 47
142 - y = 180
y = 38
x + y = n
47 + 38 = 85
need answer quick !!! please
Answer:
f(-10) = 186
Step-by-step explanation:
Sub in -10 to the x - values:
f(x) = 2[tex]x^{2}[/tex] + [tex]x[/tex] - 4
f(-10) = 2(-10)^2 - 10 - 4
f(-10) = 200 - 10 - 4
f(-10) = 186
NO LINKS NO FILES! Jill says that the rules for multiplying and dividing integers are alike. Do you agree? Explain.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Answer:
I do not agree
Step-by-step explanation:
because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same!)
PLEASE HELP WILL MARK YOU!!!
Answer:
hear is your required answer
Answer:
please see the image given above. hope this helps
3/8 pounds is greater or less than 1/4 pounds ?
Answer:
3/8 pounds is greater than 1/4 pounds
Step-by-step explanation:
Turn 1/4 to 2/8 by multiplying the top and bottom by 2
Compare
3/8>2/8
Damon drove 120 miles on 2 hours and Ashley drove 135 miles in 2.3 hours. Ashley insist that she was traveling at a faster rate than damon. Is she correct, why?
Answer:
She is not correct
Step-by-step explanation:
distance = rate x speed
Damon:
120 = 2r
r = 60 miles per hour
Ashley:
135 = 2.3r
r = 58.7 miles per hour
Calcula el volumen de un depósito de desechos sólidos subterráneo formado por una parte prisma
cuadrangular que tiene de lado 8 m y una profundidad de 20 m. se sabe, además que la otra parte del
depósito es una pirámide con altura de 4 m.
Step-by-step explanation:
v8yviyc8yv9yv8yv8yviyv8yv8v6
PLEASE HELP ASAAPPP PLEASEE
Answer:
m∠1 = 81
m∠2 = 99
Step-by-step explanation:
The angles are supplemaentary and therefor sum to 180
3x + (x + 72) = 180
4x + 72 = 180
4x = 108
x = 27
m∠1 = 3x
m∠1 = 27(3)
m∠1 = 81
m∠2 = x + 72
m∠2 = 27 + 72
m∠2 = 99
which ones do i press ?
Answer:
Step-by-step explanation:
b,e
A sofa is 900 more than the price of c which system of equation can be used to find price of each piece
Answer:
$1200
Step-by-step explanation:
S + C = 1200
S = C + 900
C + 900 + C = 1200
2C + 900 = 1200
2C = 300
C = 150
The chair costs $150. The sofa is $1050.
Together they cost $1200.
If numbers collected from a survey are measurements, what are these measurements called before you perform any calculations?
Answer: raw data
Step-by-step explanation:
Raw data, is also referred to as the primary data, and it refers to the data that's collected from a source. It is a day that is yet to be processed. e.g the raw scores during examination can be considered to be raw data since it hasn't been processed yet to get further information.
Therefore, if the numbers collected from a survey are measurements, then the measurements before any calculation is performed is called raw data.
