Answers
The proportion is solved to give s = 3
How to simply the proportionProportion can simply be described as an equation made equal to each other.
Also, algebraic expression are defined as expression that are comprised of terms, variables, factors, coefficient and constants.
They are also made up of arithmetic operations, such as;
AdditionMultiplicationBracketParenthesesSubtractionFloor divisionDivisionFrom the information given, we have that;
s + 1/4 = 4/8
cross multiply
8(s + 1) = 16
Divide both sides by 8, we get;
s + 1 = 2
collect like terms
s = 3
Hence, the value is 3
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Related Questions
What is
−5f + 6 > 10f − 10
Please answer!
Answers
The solution to the given inequality [tex]-5f + 6 > 10f - 10[/tex] is [tex]f < 16/15[/tex].
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question, as follows:
[tex]-5f + 6 > 10f - 10[/tex]
To solve the inequality [tex]-5f + 6 > 10f - 10[/tex], we need to isolate the variable [tex]f[/tex] on one side of the inequality.
We will first subtract 6 from both sides to isolate the [tex]-5f[/tex] term:
[tex]-5f + 6 - 6 > 10f - 10 - 6[/tex]
Simplifying the left side:
[tex]-5f > 10f - 16[/tex]
Next, we will subtract [tex]4f[/tex] from both sides to isolate the [tex]-5f[/tex] term on the left side:
[tex]-5f - 10f > 10f - 10f - 16\\-15f > -16[/tex]
Finally, we will divide both sides by -9,
[tex]-( 15 f )/9 > -16/15[/tex]
Dividing both sides by -15:
[tex]f < 16/15[/tex]
This is the required solution to the given inequality.
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the distance between points (3,5) and (-2,1)=
Answers
Answer:
Slope: y= 4/5x+21/8
The distance is 4 units up and 5 units to the right.
Step-by-step explanation:
All students in the six grade either purchased their lunch or brought their lunch from home on Monday 24% of the students purchased their lunch 190 students brought their lunch from home how many students are in the six grade
Answers
Answer:
250
Step-by-step explanation:
190 students = 76%
190/76=2.5
2.5 x 100 =250
60 suitcase marked down 20%
Answers
1.20×60=12001200/100=12
12suitcase
Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 because of expenses. In the first hour of the fundraiser they collect equal donations from 9 parents, which brings their balance to -44 .
How much did each parent give?
Answers
Answer: 4
Step-by-step explanation:
(-88) - (-44) = -36
remove the (-) = 36
36 ÷ 9 = 4
MULTIPLE CHOICE GIVING BRAINLIEST AND 100 POINTS
please please please thank youuu
Answers
Answer:
6.00
Step-by-step explanation:
4r + g = 24
4r + 2g = 30 Subtract equation 2 from equation 1
-g = -6
so g = cost of gravity = 6 dollars
Simplify the expression:
[tex]\frac{\frac{x-1}{x+1} -\frac{x+1}{x-1} }{\frac{x-1}{x+1} +\frac{x+1}{x-1} }[/tex]
Answers
16. diagonal the perimeter of a rectangle is 32 feet. the length is three times as long as the width. find the length of the diagonal. round to the nearest tenth.
Answers
The length of the diagonal is 12.6 feet.
"Information available from the question"
The perimeter of a rectangle is 32 feet.
The length is three times as long as the width.
We have to find the length of the diagonal.
Let w = width
then
3w = length.
Because we know the perimeter:
Perimeter of the rectangle is : 2(l + w)
32 = 2(w + 3w)
32 = 2(4w)
16 = 4w
4 feet = w (width)
Length:
3w = 3(4) = 12 feet
Diagonal, we use the Pythagorean theorem:
Let d = diagonal
then,
[tex]d^2 = 4^2 + 12^2[/tex]
[tex]d^2[/tex] = 16 + 144
[tex]d^2[/tex] = 160
d = 12.6 feet
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Directions: Based on the information given in the following problem, compute the gross pay.
Regular salary: $984 per month
Overtime rate: $10.39 per hour (14 hours overtime to be paid)
Round your answers to two decimal places.
gross pay: $
Answers
The gross pay of the worker when using the given parameters is; $1,129.46
How to calculate the Gross Pay?Gross pay is defined as the total amount of money you get before taxes or any other deductions are subtracted from your salary.
Net pay is defined as the amount of pay remaining for issuance to an employee after deductions have been taken from individual's gross pay.
Thus;
Gross pay = Net pay + deductions
Net pay = Gross pay - deductions
The parameters are;
Regular salary: $984 per month
Overtime rate: $10.39 per hour (14 hours overtime to be paid)
Gross Pay = 984 + 14(10.39)
Gross Pay = $1,129.46
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Using the formula 1/a+1/b=1/c, express the variable b in terms of the variables a and c. Find b.
b =
Answers
The variable b in terms of the variables a and c is b = ac/(a - c)
How to express variable b in terms of variable a and cFrom the given formula expressed as
1/a + 1/b = 1/c
We want to express variable b in terms of the variables a and c. We would make variable b the subject of the formula.
Subtracting 1/a from the left hand side of the equation and the right hand side of the equation, it becomes
1/a - 1/a + 1/b = 1/c - 1/a
1/b = 1/c - 1/a
1/b = (a - c)/ac
Taking the reciprocal of the left hand side of the equation and the right hand side of the equation, it becomes
b = ac/(a - c)
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Simplify the expression (6^4)2.
Answers
a man has a garden measuring 84 m by 56 m. he wants to divide them equally into the minimum number of square plots. what is the length of each square plot?
Answers
If a man has a garden and he divide them equally into minimum number of square plots , then length of each square plot is 28m .
the length of the garden is = 84m ;
the width of garden is = 56m ;
the man is dividing the garden into equally minimum number of square plots ,
then , Factors of Width = 2×2×2×2×7 = 2×28 ;
the Factors of Length is = 2×2×2×3×7 = 3×28 ;
So , we will notice with a side of 28 m each , we can make 2 squares along the width of the garden ;
Similarly , with the side = 28m each, we can make 3 squares along the length of the garden ;
That means , we can make 6 squares of 28m side.
Therefore , the minimum length of each square plot = 28 m.
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a graph titled residuals versus launch angle has launch angle (degrees) on the x-axis, and residual on the y-axis. points decrease, and then curve up. based on the residual plot shown, is a linear model appropriate for using launch angle to predict height? a linear model is appropriate because the residual plot is curved. a linear model is appropriate because many of the residuals are close to zero. a linear model is not appropriate because the residual plot shows a clear pattern. a linear model is not appropriate because the y-intercept of the regression equation is negative.
Answers
In a residual plot, the residuals are plotted against the predictor variable. Ideally, the residuals should be randomly scattered around zero, without any patterns or trends.
If there is a pattern, it suggests that the linear model is not an adequate representation of the data and a more complex model may be necessary.
In this case, the residual scatter plot shows that the residuals are randomly scattered around zero, which suggests that a linear model is appropriate for summarizing the relationship between the predictor and response variables. This means that a straight line can be used to approximate the relationship and make predictions based on the data.
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PLEASE HELP!!!
For the figure below, what is the total sum degrees of the interior angles? Use the correct formula and show all work!
Answers
Answer: 900
Step-by-step explanation:
The Interior Angle formula is (n-2)x180. So you take 7 minus 2 times 180 and that gives you 900
Solve the following system of equations graphically on the set of axes below.
y= \frac{1}{6}x+7
y=
6
1
x+7
y= -2x-6
y=−2x−6
Plot two lines by clicking the graph.
Click a line to delete it.
Answers
The system of equations graphically on the set of axes is given below.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
y = (1/6)x + 7
y = -2x - 6
The graph of each equation is given below.
The point of intersection is (-6, 6).
i.e,
(1/6)x + 7 = -2x - 6
(1/6)x + 2x = -6 - 7
13x/6 = -13
x/6 = -1
x = -6
So,
y = -2x - 6
y = -2 x -6 - 6
y = 12 - 6
y = 6
Thus,
The system of equations graphically is given above.
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3(4w+2)+13 this was for hw and i need to get my grade up pls help
Answers
Answer:
12w+19
Step-by-step explanation:
[tex]3(4w + 2) + 13[/tex]
You multiply everything in the brackets with 3[tex]3(4w) + 3(2) + 13[/tex]
[tex]12w + 6 + 13[/tex]
combine the like terms[tex]12w + 19[/tex]
I need answer ASAP the question is in the picture
Answers
Answer:
assuming that it can be solved, then yes
Step-by-step explanation:
Which equations have no real solution but have two complex solutions? please thanks
Answers
Answer3rd one and 1st
Step-by-step explanation:
The price of an item has been reduced by 80%. The original price was $70. What is the price of the item now?
Please help me it's timed, plus you'll get 100 points.
!!!If correct, Brainliest, Thanks, and 5 stars!!!
Answers
Elena wants to create a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Draw and label the dimensions of a scale drawing of Elena’s bedroom, using
a scale of 1 to 50.
Answers
To create a scale illustration of her bedroom, Elena must draw a 10cm by 6cm rectangle.
How to draw a scale illustration of the bedroom?To create a scale illustration of her bedroom she must take into account the scale she will be using. In this case it would be 1:50, that is, each original unit must be divided into 50 parts. Therefore, we must divide the lengths into 50 as shown below. Additionally we must take the values in cm.
500cm / 50 = 10cm300cm / 50 = 6cmAccording to the above, a scale model would be 10cm by 6cm.
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Eric's freezer has a volume of 20,000 cubic inches. He freezes 30 cartons of strawberries in the freezer. Each carton is 10 inches long, 4 inches wide, and 5 inches high.
What is the volume of one carton of strawberries?
Enter your answer in the box.
in³
Check Answer
Question 2
What is the volume of all of the cartons of strawberries?
Enter your answer in the box.
in³
Answers
The volume of one carton of strawberries is 200 in³.
The volume of all of the cartons of strawberries is 6,000 in³.
What is the volume?The volume of each carton can be determined by multiplying the length, width and height together.
Volume = length x width x height
10 x 4 x 5 = 200 in³
The volume of all the boxes of strawberries can be determined by multiplying the number of cartons by the volume of one carton.
Volume of the 30 cartons of strawberries = 200 in³ x 30 = 6,000 in³
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find median in the following distribution
Answers
Answer:
A=2
B=2+3÷2=2.5
C=10+15÷2=12.5
D=20
Jordan compared 10 books at the school library. The following table shows the number of chapters and the total number of pages for each book.
Number of Chapters 3 4 5 8 10 12 13 14 16 20
Total Pages 18 38 45 85 76 145 138 160 180 220
Which of the following representations is most appropriate to show the relationship between the number of chapters and the total pages of a book?
Answers
Answer:
B.
Step-by-step explanation:
i think 99.9% sure!
Answer:
he representation that is most appropriate to show the relationship between the number of chapters and the total pages of a book is given by:
Graph 3
How to choose the correct graph?
Before choosing the correct graph, we must classify the function as discrete or continuous, as follows:
Discrete function: the input values of the function are only certain values on an interval.
Continuous function: the input values of the function are all the real values in the interval.
Then the graph of each type of function is given as follows:
Discrete function: dots.
Continuous function: solid line.
The input and output variables in this problem are given as follows:
Input variable: number of chapters.
Output variable: number of pages.
The number of chapters assumes only integer values, hence the function has a discrete domain, meaning that the graph is composed by dots.
However, the first graph is correct, as the third graph has a range of input and output values that is not present on the table, while the range in the first graph is according to the table.
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Step-by-step explanation:
Order the simplification steps of the expression below using the properties of rational exponents.
875x³y
·2³. (7.2³)
5xy³ √7x²
(5³) ³. 7. 2(¹+3).
(125) (7) (+) ³
¹2. y
5.
5.7.
.
5xy³ (72²) ³
.
(125-7). 2. y
..
(875x³y)
Answers
The simplification steps are as follows:
(2³)(7.2³) = 2³+3 = 128
(5³)³ = 125
(1 + 3) = 4
72² = 5184
125 - 7 = 118
So, the simplified expression is:
118 (5xy³) (5184³) 2y
What is properties of rational exponents?Properties of rational exponents are rules that dictate how to simplify expressions with fractional exponents. Some of the key properties are:
Product of Powers: (a^m)(a^n) = a^(m+n)Quotient of Powers: (a^m)/(a^n) = a^(m-n)Power of a Power: (a^m)^n = a^(mn)Power of a Product: (ab)^m = a^m b^mPower of a Quotient: (a/b)^m = a^m / b^mZero and Negative Exponent: a^0 = 1, a^(-n) = 1/a^nFractional Exponent: a^(m/n) = (a^m)^(1/n)
These properties are used to simplify expressions with rational exponents, which are exponents that are in the form of a fraction.
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at a seaport, the depth of the water during the day can be found using the equation where is the depth of water in feet and is the number of hours after midnight. at 8:30pm what will be the water's height?
Answers
The water's height at 8:30 PM is approximately 0.69 feet.
As per the data given in the question,
We have the equation,
depth = 4 * sin (0.5 * t)
where t is the number of hours after midnight.
As we need to find the depth of the water at 8:30 PM,
For finding the value of the depth at 8:30 PM we need to first convert 8:30 PM to the number of hours after midnight.
8:30 PM = 20.5 hours after midnight
So, substituting t = 20.5 into the equation,
we will get it as:
depth = 4 * sin (0.5 * 20.5)
depth = 4 * sin (10.25)
depth = 4 * 0.1736481776669303
depth = 0.6945971520676809
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Which ordered pair makes both inequalities true? y≤ -x + 1 y > x
(-3,5)
(-2, 2)
(-1, -3)
(0, -1)
NEED ASAP!!!!
Answers
Answer:
(-2,2)
Step-by-step explanation:
First, let's look at the 2 inequalities:
y ≤ -x + 1
y > x
Just by looking at the second inequality, we can remove any ordered pairs where x is greater than or equal to y. This eliminated the ordered pairs (-1,-3) and (0,-1). Now, the answer has to be (-3,5) or (-2,2). Knowing this, we can plug x and y into the equation and see if either of the answers are true.
(-3,5):
x = -3
y = 5
y ≤ -x + 1
5 ≤ -(-3) + 1
5 ≤ 3 + 1
5 ≤ 4
NOT TRUE
(-2,2)
x = -2
y = 2
2 ≤ -(-2) + 1
2 ≤ 2 + 1
2 ≤ 3
TRUE
So, since plugging in the ordered pair (-2,2) into the inequality gives us a true answer while (-3,5) doesn't, the order pair (-2,2) must be out answer.
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how to subtract a whole number from a mixed fraction?
Answers
Example:
5 - 1 1/2 ---> 5 - 1.5
the tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 2000 miles. what is the probability a particular tire of this brand will last longer than 58,000 miles?
Answers
The probability that a tire of this brand will last longer than 58,000 miles is 0.8413 or 84.13%.
Given in the question that the tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 2000 miles.
We have to calculate the probability that a particular tire of this brand which will last longer than 58,000 miles.
The standard normal variable corresponding to the given tire's tread life being longer than 58,000 miles can be calculated using the z-score formula:
The formula for computing a z-score is =(DataValue-Mean)/StDev
Therefore , we can write z = (58,000 - 60,000) / 2000
Hence, z = -1
Next, we can use a standard normal table to find the probability that a standard normal variable will be less than -1:
P(Z < -1) = 0.1587
Hence P = 1 - 0.1587
P = 0.8413
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Please help I don't know how to do it
Answers
The value of x is obtained as follows:
128º.
The measure of angle A is given as follows:
m < A = 132º.
How to obtain the measures?For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:
5x - 508 = x + 4.
4x = 512
x = 512/4
x = 128.
Then the measure of angle A is given as follows:
m < A = 5(128) - 508
m < A = 132º.
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here is a scatterplot of the data for 13 colonies of sparrowhawksthe value for the data set is 0.5602. what is the correlation? use 4 decimal places.
Answers
The correlation between the two variables in the data set for 13 colonies of sparrowhawks is 0.5602.
This means that there is a moderate positive correlation between the two variables, indicating that when one variable increases, the other variable is likely to increase as well.
To calculate the correlation coefficient, we can use Pearson’s correlation coefficient equation:
r = (n * Σxiyi - Σxi * Σyi) / √[(n * Σxi2 - (Σxi)2) * (n * Σyi2 - (Σyi)2)]
Where: n = the number of observations Σxi = the sum of all x-values Σyi = the sum of all y-values Σxiyi = the sum of the products of each x-value and y-value Σxi2 = the sum of the squares of each x-value Σyi2 = the sum of the squares of each y-value
Plugging in the values for our data set, we get:
r = (13 * 0.5602 - (13 * 0.5602)) / √[(13 * 0.2532 - (13)2) * (13 * 0.2532 - (13)2)]
r = 0.5602
This means that there is a moderate positive correlation between the two variables in the data set, indicating that when one variable increases, the other variable is likely to increase as well.
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