Answers
Answer:
20 + 4x = 180
Step-by-step explanation:
180-20= 160
160=4x
160/4= 40= x
Related Questions
Plz help help me it’s so hard
Answers
Answer:
It's the second answer choice
Step-by-step explanation:
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides.
Suppose the paper is 7"-wide by 9"-long.
a. Estimate the maximum volume for this box?
b. What cutout length produces the maximum volume?
Answers
Answer:
B
Step-by-step explanation:
To answer this question it is necessary to find the volume of the box as a function of "x", and apply the concepts of a maximum of a function.
The solution is:
a) V (max) = 36.6 in³
b) x = 1.3 in
The volume of a cube is:
V(c) = w×L×h ( in³)
In this case, cutting the length "x" from each side, means:
wide of the box ( w - 2×x ) equal to ( 7 - 2×x )
Length of the box ( L - 2×x ) equal to ( 9 - 2×x )
The height is x
Then the volume of the box, as a function of x is:
V(x) = ( 7 - 2×x ) × ( 9 -2×x ) × x
V(x) = ( 63 - 14×x - 18×x + 4×x²)×x
V(x) = 4×x³ - 32×x² + 63×x
Tacking derivatives, on both sides of the equation
V´(x) = 12×x² - 64 ×x + 63
If V´(x) = 0 then 12×x² - 64 ×x + 63 = 0
This expression is a second-degree equation, solving for x
x₁,₂ = [ 64 ± √ (64)² - 4×12*63
x₁ = ( 64 + 32.74 )/ 24
x₁ = 4.03 this value will bring us an unfeasible solution, since it is not possible to cut 2×4 in from a piece of paper of 7 in ( therefore we dismiss that value)
x₂ = ( 64 - 32.74)/24
x₂ = 1.30 in
The maximum volume of the box is:
V(max) = ( 7 - 2.60) × ( 9 - 2.60)×1.3
V(max) = 4.4 × 6.4 × 1.3
V(max) = 36.60 in³
To chek for maximum value of V when x = 1.3
we find the second derivative of V V´´, and substitute the value of x = 1.3, if the relation is smaller than 0, we have a maximum value of V
V´´(x) = 24×x - 64 for x = 1.3
V´´(x) = 24× 1.3 - 64 ⇒ V´´(x) < 0
Then the value x = 1.3 will bring maximum value for V
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divide 25.84 divide by 4
Answers
Answer:
25.84 divide by 4 Is 6.46.
Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on
her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,
0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the
first light is red, and let R2 denote the event that the second light is red.
a) Determine the probability that at least one light will be red. (Show how you calculate this.)
b) Determine the conditional probability that the second light will be red given that the first light is
red. (Show how you calculate this.)
c) Are the events R1 and R2 independent? Justify your answer numerically.
d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.
Answers
Answer:
Explained below.
Step-by-step explanation:
The information provided is,
P (R₁) = 0.35
P (R₂) = 0.45
P (R₁ ∩ R₂) = 0.20
(a)
Compute the probability that at least one light will be red as follows:
P (at least one light will be red) = P (R₁ ∪ R₂)
= P (R₁) + P (R₂) - P (R₁ ∩ R₂)
= 0.35 + 0.45 - 0.20
= 0.60
Thus, the probability that at least one light will be red is 0.60.
(b)
Compute the conditional probability that the second light will be red given that the first light is red as follows:
[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]
[tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]
Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.
(c)
If two events, say A and B are independent then:
P (A|B) = P (A).
The value of P (R₂ | R₁) = 0.57.
And the value of P (R₂) = 0.45
P (R₂ | R₁) ≠ P (R₂)
Thus, the events R₁ and R₂ are not independent.
(d)
If two events, say A and B are mutually exclusive then:
P (A ∩ B) = 0
The value of P (R₁ ∩ R₂) = 0.20.
Thus, the events R₁ and R₂ are not mutually exclusive.
A fair die is rolled three times. A 4 considered success while all other outcomes are failures. Find the probability of each number of successes.
Answers
Answer:
Probability of success = 1/6.
Step-by-step explanation:
A die has 6 sides, all different assuming the die is fair. If a 4 is the ONLY successful outcome, the probability of a successful outcome is 1/6, and the probability of a failed outcome is 5/6, because 5 of the 6 sides are not the number 4.
Graph the line that passes through the coordinates below and determine which statement is true.
(2,3) (3,4.5) (4,6) (6,9)
A.
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B.
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D.
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
Answers
Answer:
the correct answer is: C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Step-by-step explanation:
A straight line passing through the points (1, 2), (3, 4), (5, 6) and (7, 8) does not pass through the origin, as shown on the graph below.
Therefore, the line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Answer:
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin--the correct answer is B.
Step-by-step explanation:
You first graph the coordinates shown, then you repeat the same pattern until the answer is revealed which is shown in the column above. Also, a reminder to all a proportional line is a line that goes through the origin ((0,0)).
Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent
change from last year to this year?
A
An increase of 10%
B
A decrease of 10%
С
An increase of 20%
D
A decrease of 20%
Answers
Answer:
C. An increase of 20%
Step-by-step explanation:
50/100 = 60/x
Cross products
50 x = 6000
Divide 50 by both sides
x = 120
60 is 120% of 50, so there is a 20% increase
Hope this helps!
-Jerc
The equation Ax + By = 14 goes through the coordinates (-7, -4) and (14, 2).
What are the values of A and B?
Answers
Answer:
A=-6
B=7
Step-by-step explanation:
We want to solve for the values of A and B.
let us substitute the values of the coordinates, that is x and y into the expression and obtain the two equations.
then we solve simultaneously
-7A-4B=14---------1
14A+2B=14--------2
-14A+-8B=28---------3
14A+2B=14------------2
0-6B=42
6B=42
B=42/6
B=7
put B=7 in eqn 1 we have
-7A-4(7)=14---------1
-7A-28=14
-7A=14+28
-7A=42
A=42/-7
A=-6
The values of A and B are 3 and -7 respectively
In order to determine the values of A and B,
First, we will determine the equation of the line passing through the coordinates (-7, -4) and (14, 2).
Using the formula for determining the equation of a line with two given points,
[tex]\frac{y-y_{1} }{x -x_{1} } =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
From the question
x₁ = -7
y₁ = -4
x₂ = 14
y₂ = 2
Putting these values into the equation,
We get
[tex]\frac{y--4}{x--7} =\frac{2--4}{14--7}[/tex]
∴ [tex]\frac{y+4}{x+7} =\frac{2+4}{14+7}[/tex]
[tex]\frac{y+4}{x+7} =\frac{6}{21}[/tex]
This becomes,
[tex]6(x+7) = 21(y+4)[/tex]
Clearing the brackets
[tex]6x + 42 = 21y + 84[/tex]
Then,
[tex]6x -21y = 84 -42[/tex]
[tex]6x -21y = 42[/tex]
Dividing through by 3
We get
[tex]3x - 7y = 14[/tex]
∴ The equation of the line that goes through the coordinates (-7, -4) and (14, 2) is [tex]3x - 7y = 14[/tex]
Now, we will compare the above equation to the equation given.
The given equation is Ax + By = 14
By comparing
A = 3 and B = -7
Hence, the values of A and B are 3 and -7 respectively
Learn more here: https://brainly.com/question/21967006
Find the slope of the line that passes through (-5,-6), (-14,10)
Answers
Answer:
[tex]m=-\frac{4}{3}[/tex]
Step-by-step explanation:
Formula
[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Solve
[tex]m=\frac{10+6}{-14+5}=\frac{16}{-9}=-\frac{4}{3}[/tex]
Answer:
Step-by-step explanation:
A=(-5, -6) = (x1 , y1)
B= (-14, 10)= (x2 , y2)
slope= y2 - y1/ x2- x1
=10+6/ -14+5
= 16/ -9
= 4 / -3
Find f(5). f(x) = x2 + 2x
Help please
Answers
Answer:
Your answer is: 15
Your equation would have f(5) = x^2 + 2x
Substitute the given value into the function and evaluate.
Step-by-step explanation:
Hope this helped ; )
what is the area in hectares of a triangular field whose base is 1310 m and height is 800 m
Answers
7(9y + 2y – 6) – 9y =
Answers
Answer:
68y-42
Step-by-step explanation:
Answer:
68 y-42
Step-by-step explanation:
What is the slope of the line that is represented by the values in the table above?
Answers
Answer:
[tex] slope (m) = 6 [/tex]
Step-by-step explanation:
To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.
Let's use, (-1, 0), and (0, 6).
Apply the formula, [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex], where,
[tex] (-1, 0) = (x_1, y_1) [/tex]
[tex] (0, 6) = (x_2, y_2) [/tex]
Thus:
[tex] m = \frac{6 - 0}{0 - (-1)} [/tex]
[tex] m = \frac{6}{1} [/tex]
[tex] slope (m) = 6 [/tex]
Graph the line y=−3x+b if it is known that the graph goes through point:
A(−2, 4)
Answers
Which of the following is equal to 7%?
O A. A
O B. 73
O C. 173
O D.
SUBMIT
Answers
The decimal equivalent of 7% is, C. 0.07.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know, Percentages and decimals are related to each other.
Decimals can be converted into percentages by multiplying them by 100
and vice versa.
Given, We have to find the decimal equivalent of 7%.
The decimal equivalent of 7% is,
= 7/100.
= 0.07.
Q. Which of the following is equal to 7%?
A. 7.
B. 0.7.
C. 0.07.
D. 7%.
learn more about percentages here :
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The ratio of a number x and four added to two
Answers
Answer:
hope it helps...
Step-by-step explanation:
The ratio of a number x and four added to two:
= 4x + 2 = 0
= 4x = -2
= 4x/4 = -2/4
= x = -2/4
= x = -1/2
Ms. Watts is a famous motivational speaker. She travels across the country by jet and gives an average of ten presentations a week
She gives her speeches in auditoriums that are always full and hold an average of 1000 people each. She charges $40 per person
at each of these speeches. Her average expenses for each presentation, including renting the auditorium, are about $15,000. The
cost of meals, motels, jet travel, and support personnel total $75,000 per week. How many weeks will Ms Watts need to travel if she
wants to earn $1,400,000 per year?
Answers
Answer:
5 weeks
Step-by-step explanation:
We are told that the auditorium holds an average of 1000 people each.
And that she charges $40 each.
Thus;
Total income for each speech is;
1000 × 40 = $40000
Since she gives an average of 10 presentations each week.
Total income per week = 10 × 40000 = $400,000
Now,the expenses she makes for each speech weekly is;
Renting auditorium = $15000
Motel, jet expenses, support personnel = $75000
Thus,
Total expenses per week = 15000 + 75000 = $90000
Now, total profit per week is;
P_weekly = Total income per week - Total expenses per week
P_weekly = $400000 - $90000
P_weekly = $310000
There are 52 weeks in a year, thus, profit in a year is;
P_yearly = 52 × 310000 = $16120000
Now, we want to find out how long it took her to make $1,400,000 a year.
We know that;
$16120000 was achieved in 52 weeks
Thus;$1,400,000 will be achieved in;
(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.
Write the multiplicative comparison statement as an equation.
18 is 3 times as many as 6.
Answers
Answer:
18 = 3 × 6
Step-by-step explanation:
Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?
A.
{-4, 4, 14}
B.
{2, 4, 9}
C.
{-12, -4, 6}
D.
{12, 4, -6}
Answers
Answer:
The range is {12, 4, -6} ⇒ D
Step-by-step explanation:
The range of the relation is the values of y corresponding to the values given for x which is the domain of the relation
∵ The relation is 12x + 6y = 24
∵ The domain of the function is {-4, 0, 5}
→ That means x = -4, 0, 5, we need to find their corresponding values of y
∴ Substitute the values of x in the relation
∵ x = -4
∴ 12(-4) + 6y = 24
∴ -48 + 6y = 24
→ Add 48 to both sides
∴ -48 + 48 + 6y = 24 + 48
∴ 6y = 72
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{72}{6}[/tex]
∴ y = 12
∵ x = 0
∴ 12(0) + 6y = 24
∴ 0 + 6y = 24
∴ 6y = 24
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{24}{6}[/tex]
∴ y = 4
∵ x = 5
∴ 12(5) + 6y = 24
∴ 60 + 6y = 24
→ Subtract 60 from both sides
∴ 60 - 60 + 6y = 24 - 60
∴ 6y = -36
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{-36}{6}[/tex]
∴ y = -6
∵ The range is the values of y which corresponding to the domain
∴ The range is {12, 4, -6}
The answer is down below have a good day!!!
1 3 Divide - 2 +7=Explain each step you used to find the quotient. 9 5 What is the first step in finding this quotient? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a fraction. Use a comma to separate answers as needed.) O A. Multiply the whole parts of the mixed numbers. The product is OB. Multiply the fraction parts of the mixed numbers. The product is OC. Convert the mixed numbers to fractions. The fractions are OD. Find the reciprocal of the dividend. The reciprocal is
Answers
Answer: 15 an ummm fine
Step-by-step explanation:
Answer:
15 is the correct answer
I'm still figure is a rectangular prism identity which one of the line segment in the given figure is perpendicular to HG
Answers
Answer: so, its pretty simple so just figure it it so, its pretty simple so just figure it it
Step-by-step explanation: so, its pretty simple so just figure it it so, its pretty simple so just figure it it!
-3.6 divided by -0.75
Answers
Answer:
4.8
Step-by-step explanation:
the two negatives cancel each other
Answer:
4.8
Step-by-step explanation:
Since both numbers are in negative form and a division is supposed to occur, take away the negative so that the division can properly occur:
3.6 ÷ 0.75
Now simplify:
4.8
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The mapping diagram shows a functional relationship.
A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (8, 4), (negative two-thirds, 3), (11, negative 1), (4, one-half).
Complete the statements.
Answers
Answer:
do you have the diagram
Step-by-step explanation:
Answer:
yes ido
Step-by-step explanation:
* Which answer choice describes y = -3x² +7x - 2
Answers
Y=-(3x-1)(x-2)
Answer:
y = -[tex]3^{2}[/tex] + 7x - 2
Step-by-step explanation:
-9-2= -11
y = -11 +7x
+11
y+11 = 7x
/7
1.57142857143= x
Is the square root of 14 +6.2 less than 3 pi - 8.2?
Answers
Answer:
No. √14 + 6.2 is more than 3π - 8.2
Step-by-step explanation:
√14 + 6.2
√20.2
≈ 4.494
π ≈ 3.14159
3(3.14159) - 8.2
9.42577 - 8.2
1.22477
Therefore, the answer is no.
313.92 ÷ 6.4 + 200.4 What is the value of the expression?
Answers
Answer:249.45
Step-by-step explanation: First take 313.92 divided by 6.4 and then add 200.4 which is when you get your final answer of 249.45
If 21 out of 100 patients have high cholesterol, what percent of the patient population has high cholesterol?
Answers
Answer: 21%
Step-by-step explanation:
Percent by definition is based on "out of 100." If 21 out of 100 has high cholesterol, then the percentage is 21%
Answer:
21%
Step-by-step explanation:
Percents are always out of 100. If it says a # out of 100, the percentage is always the number that it is mentioning.
For example,
51 out of 100 is 51%
79 out of 100 is 79%
Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day?
5h+8
8h+5
7h+11.2
11.2h+7
Answers
Answer:
the answer is A.
Step-by-step explanation:
The 7 work days is represented by a linear equation
The expression that represents her gross pay each day is 5h + 8
What are linear equations?Linear equations are equations that have constant rates
How to determine the linear equationThe earning at the end of 7 work days is represented as:
35h + 56
To calculate the gross pay, each day:
We divided the total earnings by 7
So, we have:
[tex]Gross =\frac{35h + 56}{7}[/tex]
Evaluate the quotient
[tex]Gross =5h + 8[/tex]
Hence, the expression that represents her gross pay each day is 5h + 8
Read more about linear equations at:
https://brainly.com/question/14323743
The equation y= 10x represents a proportional relationship what is the constant of proportionality
Answers
Answer:
constant of proportionality = 10
Step-by-step explanation:
Direct proportion equation :
y = kx, where k is the constant of proportionality
If anyone is willing to try and answer this go ahead
Answers
Answer:
X intercept: x = 4 or in point form (4,0)
Zero for the function at (4, 0)
Y intercept : y = 160 or in point form (0,160)
slope = -40 mph
Step-by-step explanation:
The y-intercept, x-intercept are directly obtained from the graph by noticing the points on the axes where the line crosses them.
The slope is calculated using the points (0, 160) and (4, 0) and the formula for the slope of the segment that joins them:
slope = (y2 - y1)/(x2 - x1) = (160 - 0) / (0 - 4) = -160/4 = -40
and the units of the slope are miles over hour (that is miles per hour or mph)