Answers
Answer:
No.
Step-by-step explanation:
Pre-SolvingWe are given the following inequality:
[tex]76 < 5-\frac{136}{s}[/tex]
And we want to know if s=2 is a solution, meaning if s is 2, will the inequality still be true?
SolvingWe can substitute 2 for s in the inequality to test it.
Replace s with 2.
[tex]76 < 5-\frac{136}{2}[/tex]
First, let's divide 136 by 2.
136/2 = 68
The inequality is now:
76 < 5 - 68
Subtract 68 from 5.
76 < -63
The inequality reads "76 is less than -63", which is a false statement (76 is positive, -63 is negative, and positive numbers are greater than negative numbers).
Ergo, s = 2 is not a solution to the inequality.
Related Questions
II
Finding simple interest without a calculator
Lella deposits $600 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 3 years?
Answers
The Solution:
Given:
Lella deposited $600 into an account that pays 2% simple interest per year.
Required:
To find the interest Lella will get in the first 3 years.
To find the interest, we shall use the formula below:
[tex]I=\frac{PRT}{100}[/tex]In this case,
[tex]\begin{gathered} P=\text{amount deposited=\$600} \\ T=\text{time in years =3 years} \\ R=\text{rate in percent=2\%} \\ I=\text{simple interest paid=?} \end{gathered}[/tex]Substituting these values in the above formula, we get
[tex]I=\frac{600\times2\times3}{100}=6\times2\times3=\text{ \$36}[/tex]Thus, the interest she will be paid in 3 years is $36.00
Therefore, the correct answer is $36.00
Daniel ate 3 pieces of pizza. Jeremy ate 2 times that much. How many pieces of (p) did Jeremy eat?
Answers
Let:
x = pieces of pizza eaten by Daniel
y = Pieces of pizza eaten by Jeremy
Daniel ate 3 pieces of pizza. so:
[tex]x=3[/tex]Jeremy ate 2 times that much, so:
[tex]\begin{gathered} y=2x \\ so\colon \\ y=2(3) \\ y=6 \end{gathered}[/tex]Jeremy ate 6 pieces of pizza
Find the distance between the two points. 16.) (-4,2), (5,1)
Answers
distance is 9.055
Explanation:Given:
Two points; (-4, 2) and (5, 1)
To find:
the distance between two points
We will apply the formula for distance between two points:
[tex]$$dis\tan ce\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}$$[/tex][tex]\begin{gathered} x_1=-4,y_1=2,\text{ }x_2=5,\text{ }y_2\text{ = 1} \\ distance\text{ = }\sqrt{(1-2)^2+(5-(-4))^2} \\ distance\text{ = }\sqrt{1\text{ + 9}^2} \\ distance\text{ = }\sqrt{82} \\ distance\text{ = 9.055} \end{gathered}[/tex]x + 4y = 4 2x + 4y = 8x=4y=-2
Answers
x + 4y = 4
2x + 4y = 8
x=4
y=-2
we know that
If a ordered pair is a solution of a equation, then the ordered pair must satisfy the equation
we have the ordered pair (4,-2)
Verify if the ordered pair is a solution of the given equations
Equation 1
x+4y=4
substitute the value of x and the value of y in the given equation
(4)+4(-2)=4
4-8=4
-4=4 ------> is not true
the ordered pair is not a solution of the equation
Equation 2
2x + 4y = 8
substitute the value of x and the value of y in the given equation
2(4)+4(-2)=8
8-8=8
0=8 -----> is not true
the ordered pair is not a solution of the equation
helpppppppppppppppppppppppppppppp
Answers
Step-by-step explanation:
im still working on the 2nd part
Yes or no to tell wether the fact the fraction is equivalent to this decimal __(4.05)_____________________________________Is the following fractions equal to the one decimal listed? 405/99401/9981/33802/198
Answers
802/198 is equal to 4.0505
What is the area of a rectangle with length of 6.5 feet (ft) and width of 2.5 ft?
Answers
The area of a rectangle is given by the formula
[tex]\begin{gathered} A=l\cdot w \\ \text{ Where l is the length and} \\ w\text{ is the width of the rectangle} \end{gathered}[/tex]So, you have
[tex]\begin{gathered} l=6.5\text{ ft} \\ w=2.5\text{ ft} \\ A=l\cdot w \\ A=6.5\text{ ft }\cdot2.5\text{ ft} \\ A=16.25\text{ ft}^2 \end{gathered}[/tex]Therefore, the area of this rectangle is 16.25 square feet.
A triangle has vertices P (4.1), Q (4, 5) and R (7,5) What is the area of ∆PQR? (Area= 1/12 basexheight)
Answers
First, plot the points on a graph and form the triangle:
By looking at the triangle we can see that:
Base: 2
Height: 4
Area : 1/2 x 2 x 4 = 4 units2
I need to use my work and I don’t know what to put please help me !!!
Answers
We are given the information that Bailey reads 2 and a half books in 3 and a third weeks.
2 and a half books can be seen as 5/2 books, just as follows
[tex]2\frac{1}{2}\text{ = }\frac{4}{2}+\frac{1}{2}\text{ = }\frac{5}{2}[/tex]On the other hand, 3 and a third weeks can be seen as 10/ weeks, just as follows:
[tex]3\frac{1}{3}\text{ = }\frac{9}{3}+\frac{1}{3}=\text{ }\frac{10}{3}[/tex]Next, we just have to use a rule of three, its as follows: "if Bailey read 5/ books in 10/3 weeks, how many books does she reads per week?"
[tex]\begin{gathered} 10/3\text{ --> 5/2} \\ 1\text{ --> x} \end{gathered}[/tex]With that, we proceed with the division:
[tex]\frac{\frac{5}{2}}{\frac{10}{3}}\text{ = }\frac{15}{20}\text{ = }\frac{3}{4}[/tex]That means that Bailey reads 3/4 books per week
Martin Brothers Moving rents moving vans by the hour. The company charges a flat fee of $17.99, plus an additional $19.99 per hour. One customer pays $57.97 for her rental. How long was her rental?
Answers
Let h be the number of hours that the customer rented the van, then we can set the following equation:
[tex]19.99h+17.99=57.97.[/tex]Subtracting 17.99 from the above equation we get:
[tex]\begin{gathered} 19.99h+17.99-17.99=57.97-17.99, \\ 19.99h=39.98. \end{gathered}[/tex]Dividing by 19.99 we get:
[tex]\begin{gathered} \frac{19.99h}{19.99}=\frac{39.98}{19.99}, \\ h=2. \end{gathered}[/tex]Answer: 2 hours.
Zales sells diamonds for $1,100 that cost $800. What is Zales’s percent markup on selling price? Check the selling price.
Answers
Zale's percent mark up is 37.5 percent.
How to find the percent mark-up?Mark up percentage is calculated by dividing the gross profit of a unit by the cost of that unit.
In other words, Mark-up percentage is the difference between a product's selling price and cost as a percentage of the cost.
Therefore, Zale's sells diamonds for $1,100 that cost $800.
Hence,
mark up = 1100 - 800
mark up = $300
percentage mark up = 300 / 800 × 100
percentage mark up = 30000 / 800
Therefore,
percentage mark up = 37.5%
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a rectangular rug has dimensions of 9'×12'find area of the rug
Answers
Explanation:
Area of the rectangular rug = length × width
dimension of rug = 9'×12'
length = 12', width = 9'
Area = 12 × 9
Area = 18
Examine this lable of points, which are all on a certain line. 8 What is the slope of this line? Enter your answer as a number, like this 42 Or, if the slope is undefined. enter a lowercase letter "u. like this. u
Answers
The formula for determining slope, m is expressed as
slope, m = (y2 - y1)/(x2 - x1)
y1 represents initial value of y
y2 represents final value of y
x1 represents initial value of x
x2 represents final value of x
From the table,
y2 = - 8
y1 = 0
x2 = - 1
x1 = - 5
Slope, m = (0 - - 8)/(- 1 - - 5)
Slope, m = (0 + 8)/(- 1 + 5)
Slope, m = 8/4
Slope = 2
simplest form , 7/6 ÷ 4
Answers
[tex]\text{ }\frac{7}{6}\text{ / 4 = }\frac{\frac{7}{6}}{\frac{4}{1}}\text{ = }\frac{7}{24}[/tex]
The answer is 7/24
help meee pleaseeee pleasee
Answers
Answer:
f(4) = (16/7)
f(0) = -12
f(-5) = (-7/11)
Step-by-step explanation:
x + 12
f(x) = -----------
2x - 1
(4) + 12 16
f(4) = ----------- = ---------
2(4) - 1 7
(0) + 12 12
f(0) = ----------- = ------- = -12
2(0) - 1 -1
(-5) + 12 7 -7
f(-5) = ------------ = ----------- = -------
2(-5) - 1 -11 11
I hope this helps!
the diameter of the bagels 4.2 in what is the biggest circumference in inches
Answers
Diammeter = 4.2 inch
Radius = diammeter/2 = 4.2/2 =2.1 inch
[tex]\text{Circumference =2}\times\text{ }\pi\times r[/tex][tex]\begin{gathered} \pi\text{ = 3.14} \\ \text{Circumference = 2 }\times3.14\times2.1\text{ =13.188 inches} \end{gathered}[/tex]Write the following ratio using two other notations: 1/3
Answers
Given:
[tex]\frac{1}{3}[/tex]To write the given fraction into two other notations, we use "to" for word notation while ":" for number notation.
Therefore, the answers are:
1 to 3
1:3
Help 20 points (show ur work)
There are 2 questions
Answers
The length of the trail is equal to 3mi and the selling price of the item is equal to $120.
RatioIn mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.
In this question, we have to use the ratio given to determine the length of the trail.
Given that the ratio is 5in : 2mi, we have to convert the values to uniform units.
[tex]1mi = 63360in\\2mi = x\\x = 126720[/tex]
The ratio is now 5in : 126720in
Given that on the map, the length is 7.5in
[tex]5 = 126720\\7.5 = x\\x = 190080in[/tex]
Let's convert this into mi.
[tex]190080in = 3mi[/tex]
The actual length of the trail is 3in.
b)
To find the selling price of the item, let's use the percentage given to do that.
discount = 40%actual price = $200We can find 40% of 200 and then subtract the value from 200.
[tex]40\% of 200 = 0.4 * 200 = 80[/tex]
The discount price is $80 and we can find the selling price here.
[tex]selling price = actual price - discount price\\selling price = 200 - 80\\selling price = 120[/tex]
The selling price of the item is $120
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I need help IMMEDIATELY! I'm so confused and this is due in 7 minutes!!
I won't hesitate to give brainliest to whoever answers fastest! Please please please show work
1. Given [tex]f(x)= 2x^2-4x+2[/tex], what is the value of [tex]f(2/3)[/tex]?
2. Given [tex]f(x)= 4x^2+2x-6[/tex], what is the value of [tex]f(1/4)[/tex]?
Answers
The values of the functions are:
1. f(2/3) = 2/9
2. f(1/4) = -21/4
How to Find the Value of a Function?If we are given the a function to find the value for which x assumes a given value, substitute the given value of x into the function and solve.
1. To find the value of f(2/3), substitute x = 2/3 into the function f(x) = 2x² - 4x + 2.
f(2/3) = 2(2/3)² - 4(2/3) + 2
f(2/3) = 2(4/9) - 8/3 + 2
f(2/3) = 8/9 - 8/3 + 2
f(2/3) = (8 - 24 + 18)/9
f(2/3) = 2/9
2. To find the value of f(1/4), substitute x = 1/4 into the function f(x) = 4x² + 2x - 6.
f(1/4) = 4(1/4)² + 2(1/4) - 6
f(1/4) = 4(1/16) + 1/2 - 6
f(1/4) = 1/4 + 1/2 - 6
f(1/4) = (1 + 2 - 24)/4
f(1/4) = -21/4
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Vocabulary Are 23 and 24 adjacent angles? Explain. 1. 2. 3. 4 Reasoning Does every angle have a complement? Explain.
Answers
We will have the following:
1. We have that 3 & 4 are not adjacent angles.
2. We have that 3 and 4 are adjacent angles.
3. We have that 3 and 4 are not adjacent angles.
4. Not every angle has a complement. A complement is when two angles add up to 90°, so any angle greater than 90° won't have a complement.
***Explainations***
1- 3 & 4 in order to be adjacent have to share the same vertex [They do] and have to be one right next to the other [They are not, there is another angle between them].
2. 3 & 4 are adjacent since they share the same vertex and are one next to the other.
3. 3 & 4 are not adjacent since they do not share a vertex.
Find two positive numbers whose difference is 14 and whose product is 1976
Answers
The positive numbers that the difference is 14 and the product is 1976 are 38 and 52.
How to find the positive numbers?The difference of the positive numbers is 14 and the products of the positive numbers is 1976.
The positive numbers are the numbers that are greater than zero.
Positive numbers includes fractions, In general, positive numbers are natural counting numbers.
Therefore,
let the numbers be x and y
Hence, the difference of the positive numbers is 14.
x - y = 14
The product of the positive numbers is 1976. Therefore,
xy = 1976
Make x the subject of the formula in equation(ii)
x = 1976 / y
Substitute the value of x in equation(i)
1976 / y - y = 14
14y = 1976 - y²
solve the quadratic equation formed.
y² + 14y - 1976 = 0
Hence,
y² - 38y + 52y - 1976
y(y - 38) + 52(y - 38)
(y - 38)(y + 52)
Therefore,
y = 38 and y = -52
The number is positive .
Therefore, we can only use 38.
y = 38
Substitute the value of y in equation(i)
x - 38 = 14
x = 14 + 38
x = 52
Therefore, the positive numbers are 38 and 52.
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As the table shows, projections indicate that the percent of adults with diabetes could dramatically increase.Answer parts a. through c.c. In what year does this model predict the percent to be 27.96%(round to the closest year)
Answers
b. You have to consider year 2000 as the initial year, i.e. as x=0.
To predict the percent of adults with diabetes in 2014, first, you have to calculate the difference between this year and the initial year to determine which value of x you need to use:
[tex]x=2014-2000=\text{ }14[/tex]The value of x you have to use is x=14
Replace this value into the linear model calculated in item a to predict the percentage of adults with diabetes (y)
[tex]\begin{gathered} y=0.508x+10.692 \\ y=0.508\cdot14+10.692 \\ y=7.112+10.692 \\ y=17.804 \end{gathered}[/tex]In the year 2014, the predicted percentage of adults with diabetes is 17.8%
c. You have to determine the year in which the model predicts the percent to be 27.96%.
To determine this year, you have to equal the linear model to 27.96% and calculate for x:
[tex]\begin{gathered} y=0.508x+10.692 \\ 27.96=0.508x+10.692 \end{gathered}[/tex]-Subtract 10.692 from both sides of the equal sign
[tex]\begin{gathered} 27.96-10.692=0.508x+10.692-10.692 \\ 17.268=0.508x \end{gathered}[/tex]-Divide both sides by 0.508
[tex]\begin{gathered} \frac{17.268}{0.508}=\frac{0.508x}{0.508} \\ 33.99=x \\ x\approx34 \end{gathered}[/tex]Next, add x=34 to the initial year:
[tex]2000+34=2034[/tex]The model predicts the percentage to be 27.96% for the year 2034
how to solve 4(a+1)=12how to solve 13+2k=5+4khow to solve -4e+28=10ehow to solve -6(4+c)=-66
Answers
In this problem, we must solve some linear equations.
1)
[tex]\begin{gathered} 4\cdot(a+1)=12, \\ a+1=\frac{12}{4}, \\ a+1=3, \\ a=3-1, \\ a=2. \end{gathered}[/tex]2)
[tex]\begin{gathered} 13+2k=5+4k, \\ 13-5+2k=4k, \\ 8+2k=4k, \\ 4k-2k=8 \\ 2k=8, \\ k=\frac{8}{2}, \\ k=4. \end{gathered}[/tex]3)
[tex]\begin{gathered} -4e+28=10e, \\ 28=10e+4e, \\ 28=14e, \\ e=\frac{28}{14}, \\ e=2. \end{gathered}[/tex]4)
[tex]\begin{gathered} -6(4+c)=-66, \\ 4+c=\frac{-66}{-6}, \\ 4+c=11, \\ c=11-4, \\ c=7. \end{gathered}[/tex]Answers
• a = 2
,• k = 4
,• e = 2
,• c = 7
It takes 2000 bees 1 year to make 7 jars of honey. How long will it take 5000 bees to make 70 jars of honey?
Answers
If the bees are working at the same rate, the number of years taken to make 70 jars is 4 years.
What is the rate of jar making by a bee?
The rate at which a bee makes a jar is calculated as follows;
rate = 2000 bees / 7 Jars
rate = 285.71 b/J
The later of rate of the bees is calculated as follows;
rate = 5000 bees / 70 jars
rate = 71.42 b/J
If the bees were to maintain the first rate, the number of years taken to make 70 jars is calculated as follows;
number of years = (285.71) / (71.42) = 4 years
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the running trail in the local park is 3.826 miles long. If the park board were planning to extend the trail by 2.46 miles, what would the new length of the running trail be?
Answers
The running trail is 3.826 miles long. If we add 2.46 miles, the new length will be:
[tex]3.826miles+2.46\text{ miles}[/tex]which gives 6.286 miles. Then, the new lenght will be 6.286 miles long.
Question 2.Draw diagrams to represent the following situations.a. The amount of flour that the bakery used this month was a 50% increase relative to last month.b. The amount of milk that the bakery used this month was a 75% decrease relative to last month.
Answers
Given:
a. The amount of flour that the bakery used this month was a 50% increase relative to last month.
So, we will draw a diagram that represents the situation
As shown, for last month, we have drawn a rectangle divided into two equal areas, each one represents 50%
this month was a 50% increase, so, we have drawn 3 areas which represent 50% increase
b. The amount of milk that the bakery used this month was a 75% decrease relative to last month.
As shown, for last month, we have drawn a rectangle with four equal areas
75% decrease, so, we have to remove 3 areas to make the remaining = 25%
So, the difference will give a 75% decrease
I need help to do these composition of functions. I have a photo if needed.h(a)=4a+1g(a)=2a-5Find (h×g)(-9)
Answers
The composition of two functions is defined as follows:
[tex](h\circ g)(x)=h(g(x))[/tex]Use the given rules of correspondence of h and g to find the composition of those two functions. Then, evaluate the composition at -9:
[tex]\begin{gathered} h(a)=4a+1 \\ \Rightarrow h(g(a))=4\cdot g(a)+1 \end{gathered}[/tex][tex]\begin{gathered} g(a)=2a-5 \\ \Rightarrow4\cdot g(a)+1=4\cdot(2a-5)+1 \\ =8a-20+1 \\ =8a-19 \end{gathered}[/tex]Then:
[tex]\begin{gathered} (h\circ g)(a)=h(g(a)) \\ =4\cdot g(a)+1 \\ =8a-19 \\ \\ \therefore(h\circ g)(a)=8a-19 \end{gathered}[/tex]Evaluate the composition of h and g at a=-9:
[tex]\begin{gathered} (h\circ g)(-9)=8(-9)-19 \\ =-72-19 \\ =-91 \end{gathered}[/tex]Therefore:
[tex](h\circ g)(-9)=-91[/tex]2. Find the equation ofthe line:through (-5,1) parallel to2y = 2x - 4
Answers
Given data:
The given point is (a,b)=(-5,1).
The given line is 2y=2x-4.
The given line can be written as,
2y=2(x-2)
y=x-2
The standard equation of the line is,
y=mx+c
comapre the given line with the standard form.
m=1
The slope of two parallel lines are always equal.
m'=m
=1
The expression of the line which is parallel to the given line is,
y-b=m'(x-a)
Substitue the given values in the expression.
y-1=1(x-(-5))
y-1=x+5
y=x+6.
Thus, the equation of the line parallel to the given line is y=x+6.
A student takes out 2 loans to pay for college. One loan at 8% interest and the other at 9% interest. The total amount borrowed is $3,500, and the interest after 1 year for both loans is $294. Find the amount of each loan.
Answers
The amount of each loan are $2,100 and $1,400.
What is mean by Simple interest?
The simple interest is defined as;
Simple interest = P r t
Where, P is principal amount.
r is rate and t is time period.
Given that;
Student take 2 loans for pay the college.
One loan at 8% interest and the other at 9% interest.
And, The total borrowed amount = $3,500
and, The interest loan = $294
Let The first amount of loan = x
And, The other amount of loan = y
So, We can formulate;
x + y = $3,500 ..... (i)
And, The interest loan = $294
So, We can formulate;
8x/100 + 9y/100 = $294
8x + 9y = 29400 ... (ii)
Solve equation (i) and (ii) , we get;
Multiply by 8 in equation (i) and subtract from (ii), we get;
y = $1400
Hence,
x + y = $3,500
x + 1400 = 3500
x = 3500 - 1400
x = $2,100
Therefore, The amount of each loan are $2,100 and $1,400.
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If sine= 2/3, which of the following are possible for the same value of ?
Answers
Given
[tex]\sin\theta=\frac{2}{3}[/tex]Find
which of the following are possible?
Explanation
as we know ,
[tex]\begin{gathered} \sin\theta=\frac{P}{H} \\ \end{gathered}[/tex]so , H = 3 , P = 2
then
[tex]\begin{gathered} B=\sqrt{H^2-P^2} \\ B=\sqrt{9-4} \\ B=\sqrt{5} \end{gathered}[/tex]so ,
[tex]\begin{gathered} \cos\theta=\frac{B}{H}=\frac{\sqrt{5}}{3} \\ \\ \tan\theta=\frac{P}{B}=\frac{2}{\sqrt{5}} \\ \\ sec\theta=\frac{1}{\cos\theta}=\frac{3}{\sqrt{5}} \end{gathered}[/tex]Final Answer
Hence , the correct options are B and C