Answer:
b= 3
Step-by-step explanation:
2b +4 = 3b +1
-2b. -1
b = 3
A 130 gallon tank initially contains 10 lbs salt dissolved in 60 gallons of water. Brine containing 1 lb salt per gallon begins to flow into the tank at the rate of 3 gal/min and the well-mixed solution is drawn off at the rate of 1 gal/min. How much salt is in the tank when it is about to overflow
Answer:
80 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 60 gallons of water in the tank and water flows in at 3 gal/min. In x minute, the amount of water in the tank = 60 + 3x
Water flows out at 1 gal/min, therefore in x minute the amount of water in the tank = 60 + 3x - x = 60 + 2x
The tank begins to overflow when it is full (has reached 130 gallons). Therefore:
130 = 60 + 2x
2x = 130 - 60
2x = 70
x = 35 minutes.
In 35 minutes the tank would start to overflow.
1 lb salt per gallon flows into the tank at 3 gal/min, in 35 min the amount of salt that entered the tank = 3 gal/min × 35 min × 1 lb/gal = 105 lb
1 lb salt per gallon flows out of the tank at 1 gal/min, in 35 min the amount of salt that flow out of the tank = 1 gal/min × 35 min × 1 lb/gal = 35 lb
Initially there is 10 lb of salt dissloved into 60 gallons of water.
Therefore the amount of salt is in the tank when it is about to overflow = 10 + 105 - 35 = 80 lb of salt.
For what value of the variable will the expression 2b−3 be equal to the following: −11
what is 2/3 + 1/2 equal?
Answer: To add fractions, find the LCD and then combine.
Exact Form:
7 /6
\(￣︶￣*\)) Hope this helps!!
Answer:
7/6
Step-by-step explanation:
2/3+1/2
4/6+3/6
4+3/6
7/6
when examining distributions of numerical data, what three components should you look for
Answer:
The three components you should look for when examining distributions of numerical data are Shape, center, and spread
-Source(I took AP statistics in senior year of high school and passed the AP test)
The three components for examining distributions of numerical data are Shape, centre, and spread.
What is distribution of data?
A normal distribution is a common probability distribution. It has a shape often referred to as a "bell curve." Many everyday data sets typically follow a normal distribution: for example, the heights of adult humans, the scores on a test given to a large class, errors in measurements.
When examining the distribution of a quantitative variable, one should describe the overall pattern of the data (shape, centre, spread), and any deviations from the pattern (outliers). When describing the shape of a distribution, one should consider: Symmetry/skewness of the distribution Peakedness (modality) - the number of peaks (modes) the distribution has. Not all distributions have a simple, recognizable shape. Outliers are data points that fall outside the overall pattern of the distribution. It is always important to interpret the features of the distribution (as they appear in the histogram) mean in the context of the data.
Hence, The three components for examining distributions of numerical data are Shape, centre, and spread.
For more references on distribution, click;
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Find the value of x that will make A||B.
A
B
4x
2x
X =
?
Answer:
x = 30
Step-by-step explanation:
Lines A and B are parallel lines and a transverse line is intersecting these lines at two distinct points.
By the definition of interior consecutive angles, sum of the measures of interior consecutive angles is 180°.
4x + 2x = 180°
6x = 180
x = 30
Therefore x = 30 will be the answer.
You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. Create and graph a system of inequalities that represents the constraints
Answer:
how is the maximum 10 hrs but you need to put in 20hrs
Lisa's age is 4 years older than three times Sammy's age. Lisa is 28 years old. Let s represent Sammy's age. Which equation can be used to solve for Sammy's age?
Answer:
24
Step-by-step explanation:
let Sammy's age be x and Lisa y
since Lisa is 4years older than Sammy
y=x+4
28-4=y
y=24
14 + 5(16 – 9) – 2 + 4 •12 =
The Answer Is 95
Hope This Help's
14 + 5(7) - 2 + (4x12) = 14 + 35 - 2 + 48 = 95
The original price of a camera was $50 and the sale price this week is $38. What is the percent of change in the price
of the camera?
A.24% B. 12% C.20% D.25%
Answer:
24%
Step-by-step explanation:
x (original price) = 50$
y (sale price) = 38$
p (percentage) = ?
p = (x - y) / x
p = (50-38) / 50
p = 12/50
p = 0.24
p = 24%
Answer:
24%
Step-by-step explanation:
i did it in my head
Catherine wants to pass year for Ms. Ford's class and all she has left is to take the final Spring Final. If she earned a 60 on Semester 1, a 62 on RC3 and a 53 on RC4 what is the minimum score she would need to earn on the final to pass for the year? RC3 and RC4 are averaged together for 90% of the semester 2 grade. The Spring final is 10% of the semester 2 grade. The final grade is the average of the Semester 1 and Semester 2 grade. A 70% is passing.
Step-by-step explanation:
The final grade is the average of the two semesters.
70 = ½ (60 + x)
x = 80
So Catherine needs a Semester 2 grade of 80%.
The average of RC3 and RC4 is ½ (62 + 53) = 57.5. This accounts for 90% of the Semester 2 grade. The other 10% is the Spring final.
80 = 0.90 (57.5) + 0.10 (x)
x = 282.5
Catherine would have to score 282.5% on the Spring final in order to pass.
If -3x–7 =23 then 6x=?
Answer:
6x = -60
Step-by-step explanation:
-3x - 7 = 23
-3x = 30
x = -10
6(-10) = -60
Rewrite 0.011 as a fraction in lowest terms
Answer:
11/1000
Step-by-step explanation:
and did not copy i swear
Answer:
11/1000 or 10/500
Step-by-step explanation:
3÷1/3+1=
PLEASE HELP!!!!!
Answer:
9+1=10 following bodmas rule
Density is calculated by dividing the mass by volume. A student measures the mass of an 8 cm3 object as 12.9g. What is the density of the object to the nearest tenths with proper units?
a.) 2 g/cm3
b.) 1.61 g/cm3
c.) 1.5 g/cm3
d.) 1.6 g/cm3
Write the name of the
period that has the
digits 913.
Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what was his mistake? Yes, he is correct. No, he needed to add the exponents of powers of the same base in the first step. No, he needed to apply the exponent to all factors in the product in the second step.
-c
No , he needed to apply the exponents to all factors in the product in the second step .
-i+5=t-19 please help
Answer:
t=24-i
Step-by-step explanation:Solve for t
by simplifying both sides of the equation, then isolating the variable.
Plz help! I dont understand this
Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, History, Chemistry, English}, B = {Psychology, Drama, French, Chemistry, English}, and C = {Physics, History, French}. Find the following. n(B) + n(C)
Answer:
b. psychology drama French chemistry English
640 - 40 = A.600 B.640 C.360 D.784 answer and you will get 45 points if you get correct and used paper and pencil.
Answer:
A. 600
Step-by-step explanation:
Answer:
A.............................,.
16.2=2.7(h=1) solve for h
Answer:
h = 5Step-by-step explanation:
[tex]16.2=2.7(h+1)\\\\2.7\left(h+1\right)=16.2\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\2.7\left(h+1\right)\cdot \:10=16.2\cdot \:10\\\\Refine\\27\left(h+1\right)=162\\\\\mathrm{Divide\:both\:sides\:by\:}27\\\frac{27\left(h+1\right)}{27}=\frac{162}{27}\\\\Simplify\\h+1=6\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\h+1-1=6-1\\\\Simplify\\h=5[/tex]
9. The maximum value of a data set
consisting of 25 positive integers is 84. A
new data set consisting of 26 positive
integers is created by including 96 in the
original data set. Which of the following
measures must be 12 greater for the new
data set than for the original data set?
Answer:
Let m be the minimum value of original data set.
Given -
The range of original data set = 84 -mA new data set consists of 26 positive integers and 96 original data set.Therefore, the range of new data set is 96-m.
Now, we can find the difference between two ranges by subtracting the ranges -
[tex] \\ \implies \sf \: (96 - m) - (84 - m) \\ \\ \\ \sf \footnotesize \: using \: \: distributive \: \: property \: - \\ \\ \\ \bf \: it \: \: will \: \: be \: \: equal \: \: to \: \: 12. \\ [/tex]
Therefore, the range of the new data set must be greater than the range of original data set.
a retail chain buys 1000 wireless speakers if the price is $190 and $2600 if the price is $110. A wholesaler will supply 800 wireless speakers at $128 each and 2400 at $192. Assuming that the supply and demand functions are linear, find the market equilibrium price and market equilibrium quantity
Answer:
The market equilibrium price is $160 and market equilibrium quantity is 1600
Step-by-step explanation:
A linear function is of the form y = m * x + b, where m is the slope and b is called the intercept.
The shape of a demand and supply curve will be: Q = m * P + b
The point-slope form of the linear function is written as y- y1 = m * (x- x1) where (x, y) and (x1, y1) are the coordinates of the point. In this case: Q- Q1 = m * (P- P1)
A retail chain buys 1000 wireless speakers if the price is $ 190 and 2,600 if the price is $ 110. Then (P, Q) = (190,1000) and (P1, Q1) = (110, 2600). Replacing in the point-slope form:
1000 - 2600= m*(190 - 110)
and solving for m you get:
-1600=m*80
[tex]m=\frac{-1600}{80}[/tex]
m= -20
To find the value of b from the demand curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:
Q= -20*P + b
Replacing (P, Q) = (190,1000)
1000= -20*190 + b
1000= -3800 + b
1000 + 3800= b
4800= b
The demand function is Q= -20*P + 4800
In an analogous way, the supply function can be deduced. A wholesaler will supply 800 wireless speakers at $128 each and 2400 at $192. Then (P, Q) = (128,800) and (P1, Q1) = (192, 2400). Replacing in the point-slope form:
800 - 2400= m*(128 - 192)
and solving for m you get:
-1600=m*(-64)
[tex]m=\frac{-1600}{-64}[/tex]
m= 25
To find the value of b from the supply curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:
Q= 25*P + b
Replacing (P, Q) = (128,800)
800= 25*128 + b
800= 3200 + b
800 - 3200= b
-2400= b
The supply function is Q= 25*P - 2400
The point where the supply and demand curves intersect is called the market equilibrium point. At this point the quantity supplied and the quantity demanded is the same and the price must also be the same. So:
-20*P + 4800= 25* P -2400
Solving for P:
-20*P - 25*P= -2400 - 4800
-45*P= -7200
[tex]P=\frac{-7200}{-45}[/tex]
P= 160
Since at the equilibrium point the quantity supplied and the quantity demanded is the same, replacing the price P in either of the two functions (demand or supply) I obtain the equilibrium quantity. In this case, it is replaced in the supply function:
Q= 25*160 -2400
Q= 1600
Finally, the market equilibrium price is $160 and market equilibrium quantity is 1600
what is the opposite of the opposite of 8
Answer:
8
Step-by-step explanation:
The opposite of the opposite of 8 is just 8
Answer:
-8
Step-by-step explanation:
the opposite of 8 is -8 because of positive and negative numbers
A dog walking along some train tracks meets a train every 4 minutes and the train catches up the dog every 12 minutes. Find the value of x if the trains leave the endpoint of the route every x minutes.
Answer and Step-by-step explanation:
Dog meets the train in = 4 minutes
Train catches up the dog in = 12 minutes
Let x be the time when train leave the route,
Train catch up the dog in 12 minutes, the endpoint of route is x and the dog meet up the train in 4min, so the equation becomes:
12 - x = 4
To find out the value of x, subtract 12 from both sides, we get
x = 4 – 12
-x = -8
Which gives x = 8, when train leaves the endpoint of route.
Help ASAP
Find the Distance between (5,2) and (-3,-4)
Answer:
[tex]d = 10[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in your 2 coordinates into the formula to find distance d:
[tex]d=\sqrt{(-3-5)^2+(-4-2)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]d=\sqrt{64+36}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]d = 10[/tex]
what is the answer to -17 = 6m - 4 + 7m ?
Answer:
====LEARN WITH REY====Hi sis, try to help yaStep-by-step explanation:
= -17 = 6m - 4 + 7m
= 6m - 7m = 17 + 4
= 1m = 21
= m = 21 : 1
= m = 21
========================#Study with brainly #Learn with reyWhich y values are represented on the the graph below?
Answer:
The value is of y is 1 . please follow me I will give u more answer
The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
From the graph, the maximum value of the line segment will be 3 and the minimum value of the line segment will be negative 3. Then the range can be given as,
R = [-3, 3]
- 3 ≤ y ≤ 3
The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.
More about the domain and range link is given below.
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The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: u =5 H_1: U =/ 5 . I can not make the equal wiht aline through it
Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed
What parameter is being used? A population proportion B population mean C standard deviation
Correct clear question is;
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: μ = 5 H_1: μ ≠ 5
Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed
What parameter is being used? A population proportion B population mean C standard deviation
Answer:
A) C - Two tailed hypothesis
B) B - Population mean
Step-by-step explanation:
We are given the hypotheses to be;. Null Hypothesis; H_0: μ = 5
Alternative hypothesis; H_1: μ ≠ 5
From the alternative hypothesis, we can see that the critical area of distribution of the parameter being tested could either be less than 5 or greater than 5 due to the not equal to sign. This means it could either be left tailed or right tailed. Thus, it is a two tailed hypothesis.
From the hypothesis, we see that the symbol μ is being used.
In statistics, μ is generally used as a symbol to denote population mean.
Thus, parameter being used/tested is population mean
Find the coordinates of point P that partition AB in the
ratio 1:4.
Please give explanation
Answer:
(1.6, 0)
Step-by-step explanation:
Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.
Use the formuka below to find the coordinates of point P:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(1, -1) = (x_1, y_1) [/tex]
[tex] B(4, 4) = (x_2, y_2) [/tex]
[tex] m = 1, n = 4 [/tex]
Solve by plugging the above values where necessary as follows:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{1(4) + 4(1)}{1 + 4} [/tex]
[tex] x = \frac{4 + 4}{5} [/tex]
[tex] x = \frac{8}{5} [/tex]
[tex] x = 1.6 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{1(4) + 4(-1)}{1 + 4} [/tex]
[tex] y = \frac{4 - 4}{5} [/tex]
[tex] y = \frac{0}{5} [/tex]
[tex] y = 0 [/tex]
The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)