When 4 < a < 5 and 5 < b < 8, the option that best describes a-b is B) between -4 and 0. This illustrates the equation.
How to calculate the value?From the information illustrated, 4 < a < 5. In this case, a can be 4.5. This implies that a is greater than 4.
Also, 5 < b < 8. In this case, b can be 7.5. Therefore, the difference between the values can be:
a - b
= 4.5 - 7.5
= -3
This number is between -4 and 0. In conclusion, the correct option is B.
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If given inequalities are 4 < a < 5 and 5 < b < 8, then a-b lies between -4 and 0. So Option B is correct.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Let us consider a inequality
4 < a < 5
By this inequality we have
a<5
a>4
So value of a lies between 4 and 5 which is a= 4.5.
5<b<8
b<8 and b>5
So values of b will be 6, 6.5 , 7 and 7.5.
Let us consider value 6.5 as b.
a-b
=4.5-6.5
=-2
This number a-b is between -4 and 0.
Hence if 4 < a < 5 and 5 < b < 8, then a-b lies between -4 and 0.
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What is the quotient in simplest form?
12/7 divided by 3
A. 7/36
B. 4/7
C. 1 3/4
D. 5 1/7
Answer:
Step-by-step explanation:
the answer would be the second option
Solve for x. Show each step of the solution.
5(2-x)-10=25-2(3x+40)
Answer:
x=50
Step-by-step explanation:
5(2-x)-10=25-2(3x+40)
Distribute:
10-5x-10=25-6x-80
Combine like terms
-5x-10=-6x-55
Put x to one side
x-10=-55
Make x by itself
x=-55
Answer: x=−55
Step-by-step explanation:
Solve the equation step-by-step:
5(2−x)−10=25−2(3x+40)
Simplify both sides:
5(2−x)−10=25−2(3x+40)
Distribute:
(5)(2)+(5)(−x)+−10=25+(−2)(3x)+(−2)(40)
10+−5x+−10=25+−6x+−80
Combine Like Terms:
(−5x)+(10+−10)=(−6x)+(25+−80)
−5x=−6x+−55
−5x=−6x−55
Add 6x to both sides.
−5x+6x=−6x−55+6x
x=−55
Fernando has been saving money to buy an e–book reader. A store has just marked
down the price of its readers by 40%. Each reader comes with a mail-in rebate for
$25.
If the reader used to cost $150, what will Fernando's final price be after the markdown
and rebate?
Complete each step to solve the problem.
1. How much money will Fernando save because of the 40% markdown? Show your
work.
2. The total amount off includes the markdown and rebate. What is the total amount
off?
3. What will the final price of the reader be? Show your work.
Answer: 65$
Step-by-step explanation:
1. 40% of 150 is 60 so 60$ off of 150 is 90
2. total amount off is 85$. 60 is the 40% off and additional 25 for the rebate
3. final price will be 65$. 90-25=65
A line passes through (12,-4) and (-6,10). Find the y-intercept, b, of the line.
The y-intercept of the line passes through (12,-4) and (-6,10) is 32/6
Let (x1, y1) = (12, -4)
and (x2, y2) = (-6, 10)
Using the formula of the two-point form of equation of line,
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y + 4)/(10 + 4) = (x - 12)/(-6 - 12)
(y + 4)/14 = (x - 12)/(-18)
-18y -72= 14x - 168
-18y = 14x - 168 + 72
-18y = 14x - 96
y = -(14/18)x + 96/18
y = -7/9 x + 32/6
Comparing with slope-intercept form of line y = mx + b
y-intercept(b) = 32/6
Therefore, the y-intercept of the line passes through (12,-4) and (-6,10) is 32/6
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Select whether the pair of lines is parallel, perpendicular, or neither.
y = 5, y = −3
The given pair of lines are parallel lines.
What are parallel lines?Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a fixed minimum distance between them and no contact or intersection are said to be parallel. A line with the same slope is said to be parallel. To put it another way, these lines won't ever cross. At the interception, perpendicular lines always intersect and form right angles.So, graph the lines on the given equation:
y = 5y = -3(Refer to the graph attached below)
We can easily look at the graph and tell that the given lines of the equations are parallel to each other.
Therefore, the given pair of lines are parallel lines.
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IS -9z divided by 2 = 13 closed or open
The statement -9z divided by 2 = 13 is a closed statement
How to determine the type of statement?From the question, the statement of the expression is given as
-9z divided by 2 = 13
When the statement is rewritten as an expression, it becomes
-9z/2 = 13
In the above equation, we can see that we have a variable
The variable is represeneted by z
When a mathematical statement or an expression has a variable
Then such statement is an open statement
Hence, the given expression is open
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assume that your kidneys can filter out of 10% of a medication in your blood every 6 hours, you take 200 milligrams dose of the medicine how many milligrams of the medicine are in your blood after 2 days
Answer: 160 mg
Step-by-step explanation:
10% of 200 is 20
therefore, every 6 hours, 20 milligrams of medicine filters into your blood.
there are 24 hours in a day, and 48 hours in 2 days.
6 * 4 = 24
20 * 4 = 80
you get 80 mg of medicine every day.
80 * 2 = 160
you get 160 mg of medicine in two days.
Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 6 clients who did Plan A ands who did Plan
B. On Saturday there were 2 clients who did Plan A and 3 who did Plan B
Charmaine trained her Friday clients for a total of 7 hours and her Saturday clients for a total of 3 hours. How long does each of the workout plans last?
The number of hour (time) for which workout plan A would last is 0.75 hour. Also, the number of hour (time) for which workout plan B would last is 0.5 hour.
How to calculate the number of hours (time)?In order to solve this word problem, we would assign variables to the number of hours (time) each plan and then translate the word problem into algebraic equation as follows:
Let x be the number of hours (time) for workout plan A.Let y be the number of hours (time) for workout plan B.Translating the word problem into an algebraic equation, we have;
On Friday ⇒ 6x + 5y = 7 ....equation 1.
On Saturday ⇒ 2x + 3y = 3 ....equation 2.
Next, we would solve the simultaneous equation by using elimination method:
3 × (2x + 3y = 3) = 6x + 9y = 9 ........equation 3.
Subtracting equation 1 from equation 3, we have:
6x + 9y = 9
6x + 5y = 7
4y = 2
y = 2/4
y = 1/2
y = 0.5 hour.
For the value of x, we have:
6x + 5y = 7
6x + 5(0.5) = 7
6x + 2.5 = 7
6x = 7 - 2.5
6x = 4.5
x = 4.5/6
x = 0.75 hour.
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Complete Question:
Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 6 clients who did Plan A and 5 clients who did Plan B. On Saturday there were 2 clients who did Plan A and 3 who did Plan B Charmaine trained her Friday clients for a total of 7 hours and her Saturday clients for a total of 3 hours. How long does each of the workout plans last?
six children are each offered a single scoop of any of 3 flavors of ice cream from the combinatorial creamery. in how many ways can each child choose a flavor for their scoop of ice cream so that each flavor of ice cream is selected by at least one child?
Answer: 18 combinations
Step-by-step explanation: you want to multiply the amount of ice cream flavors by the amount of children to be able to find the amount of possible combinations. so, 6 children x 3 flavors of ice cream = 18 different combinations. 6 x 3 = 18
-3(0.5+3p)=-6(p-5.9) show work
help
Answer:
p=12.3
Step-by-step explanation:
-1.5-9p= -6p+35.4
36.9=3p
p=12.3
Determine a series of transformations that would map Figure I onto Figure J
and its not just rotate the figure 90 degrees clockwise, you have the do TWO translations
3 × 90 thus equals 280 degrees.
The figure moves onto the following quadrant of the graph with each 90 degree rotation. In order to shift Figure I to the location of Figure J, you must move the three figure quadrants in a clockwise direction. 3 × 90 thus equals 280 degrees. Only one transformation is needed.
Which transformation corresponds to turning a figure 90 degrees counterclockwise?
The coordinate transformation (x, y) (y, x) is equivalent to a rotation of the origin 90 degrees counterclockwise. The coordinate transformation (x, y) (x, y) is comparable to a 180 degree counterclockwise rotation of the origin.
Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about the origin (-y,x). To put it another way, flip x and y, making y negative.
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A pie weighs 500g. jamie cuts it into 4 slices. the largest slice weighs the same as the other 3 combined. what is the weight of the largest piece of pie?
The weight of the largest piece of pie is 250 gram.
How to calculate the weight?Let the weights of others be illustrated as x.
Therefore, the weight of the largest weight is the addition of the others weight. This will be:
= x + x + x = 3x
Therefore, the weights will be:
3x + x + x + x = 500
6x = 500.
Divide
x = 500 / 6
x = 83.33.
The larger weight will be:
= 3x
= 3 × 83.33
= 250
The pie weights 250g.
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Jenna bought a new car for $29,000. She paid a 10% down payment and financed
the remaining balance for 48 months with an APR of 4.5%. Determine the monthly
payment that Jenna pays.
If the remaining balance for 48 months with an APR of 4.5%. the monthly payment that Jenna pays is: $595.17.
How to find the monthly payment?Using this formula to determine the monthly payment
P = A ×r × ( 1 +r)^n ÷( 1+ r)^n -1
Where:
P = Principal = ?
A = Amount = $29,000 × ( 1- .10) = 26,100
r = Interest rate = 4.5% / 12 = 0.00375
n = number of months = 48 months
Let plug in the formula
P = 26,100 × 0.00375 × ( 1+ 0.00375)^ 48 ÷ ( 1+ 0.00375)^ 48 -1
P = 26,100 × 0.00375 × ( 1.00375)^ 48 ÷ ( 1.00375)^ 48 -1
P = 26,100 × 0.00375 × 1.196814377 ÷ 1.196814377 -1
P = 26,100 × 0.00375 × 1.196814377 ÷ 0.196814377
P = $117.1382456 ÷ 0.196814377
P = $595.17
Therefore $595.17 is the monthly payment.
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7+3(p-1)=64 how to solve
Answer:
p = 20
Step-by-step explanation:
7 + 3(p - 1) = 64 ( subtract 7 from both sides )
3(p - 1) = 57 ( divide both sides by 3 )
p - 1 = 19 ( add 1 to both sides )
p = 20
a marketing research organization wishes to estimate the proportion of television viewers who watch a particular prime-time comedy on may 24th. the proportion is thought to be about 0.30. what is the least number(sample size) of viewers that should be randomly selected to ensure that a 95% confidence interval for the true proportion of viewers will have a width of 0.06 or less?
Least number (sample size) of viewers that should be randomly selected to ensure that a 95% confidence interval for the true proportion of viewers will have a width of 0.06 or less is 225.
E = 0.06,
P = 0.30
c= 95%
& = 1 - 0. 95
To x/2 = 0-025
21096*/ 2 = 0-025
Margin of error
P ( 1 - P )
To ac / 2 ) 2 P ( 1 - P )
E= ( 1. 96* 0 . 30 x ( 1 - 0 - 30 )0-06
=224.09 ~ 225
round to next number
225
In order to guarantee that a 95% confidence interval for the true proportion of viewers would have a width of 0.06 or less, the minimum number of viewers (sample size) that should be chosen at random is 225.
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Simplify: I3 - 6| - (12 ÷ 6 + 1)3
Solution
The question would like us to evaluate the following expression
[tex]|3-6\left|-(12\div6+1\right)^2[/tex]- We should deal with the modulus and bracket separately.
- After that, we can then perform the subtraction operation on the results of the modulus and bracket.
- This is done below:
[tex]\begin{gathered} |3-6|=|-3\left|\right? \\ |-3\left|\right?=3\text{ \lparen Because the modulus always returns a positive number\rparen} \end{gathered}[/tex]Also,
[tex]\begin{gathered} \lparen12\div6+1)^2 \\ By\text{ the rules of PEDMAS,} \\ Division\text{ comes before Addition, thus, we should perform the division operation first} \\ 12\div6=2 \\ \\ \lparen2+1)^2=3^2=9 \end{gathered}[/tex]Thus, combining both results, we have:
[tex]\begin{gathered} 3-9 \\ =-6 \end{gathered}[/tex]Final Answer
The answer is -6
Answer:
-6 hope it helps
thank you
A hiker descended 450 feet down to an elevation of 2300 feet. Which equation models this scenario?
The equation models this scenario regarding the hiker is x - 450 = 2300.
Whet is elevation?Elevation is simply used to illustrate the height above the sea level.
In this case, the hiker descended 450 feet down to an elevation of 2300 feet.
The equation that can model the scenario will be x - 450 = 2300
where x = Initial elevation
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Allie and Roman are trying to graph the blue line shown on the left. Only one of them has a correct answer.
Allie entered this equation: y=2x−8
Roman entered this equation: y=8−2x
Who is correct?
Answer:
3x
Step-by-step explanation:
Evaluate the function for the following values:
f(1) =
f(2)=
f(3) =
Answer: [tex]f(1)=1, f(2)=0, f(3)=2[/tex]
Step-by-step explanation:
[tex]0 \leq 0 \leq 1 \implies f(1)=1^2 =1\\\\1 < 1 \leq 2 \implies f(2)=-2+2=0\\\\2 < 3 \leq 3 \implies f(3)=3^2 -3(3)+2=2[/tex]
Ten bags of oranges were sold to a family of eight.each family member ate six oranges, what fraction of the oranges were eaten?
The fraction of oranges eaten by the family is 3/5
Given,
Number of oranges in a bag = 8 oranges
Number of bags sold to a family = 10 bags
Number of members in the family = 6 members
Number oranges ate by each member of the family = 6 oranges
We have to find the fraction of the oranges eaten by the family members;
Here,
8 oranges in 1 bag and 10 bags sold.
So, total number of oranges sold = 8 x 10 = 80 oranges
Each member ate 6 oranges and there are 8 members.
So, total number of oranges eaten by them = 6 x 8 = 48 oranges
Now,
The fraction of oranges eaten by the family = 48/80 = 6/10 = 3/5
That is,
3/5th of oranges were eaten by the family.
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monty takes a cab to work and pays a fare of $12.75, he tips the diver 20% and the tax rate is 8%. how much does he spend on the trip
The cost of the fare based on the information is $16.32.
How to calculate the value?Amount for the fare = $12.75
Tip for the driver = 20% = 20% × $12.75 = $2.55
Tax rate = 8% = 8% × $12.75 = $1.02
Therefore the total amount will be:
= Cost of fare + Tip + Tax
= $12.75 + $2.55 + $1.02
= $16.32
The cost is $16.32. This illustrate the concept of addition.
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I really need help on this!
Answer:
chad's other friend picked up 1 3/8 pounds of berries
Step-by-step explanation:
chad = 2 1/2 = 2 4/8
friend 1 = 1 3/8
2 4/8 + 1 3/8 = 3 7/8
5 1/4 = 5 2/8
5 2/8 - 3 7/8 = 1 3/8
Charlie graphs the equation y = -1/2x + 2.
Select all statements about Charlie's graph that are true.
-The line does not pass through the origin.
-The graph is a straight line.
-The slope of the line is 1/2
-The line passes through the point (0, -2).
-The y-intercept of the line is 2.
The True statements are: the graph is a straight line and the line does not pass through the origin. The y-intercept of the line is 2.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The equation is given as y = -1/2 x + 2
Then Formula of the linear equation ( in slope-intercept form ):
y = m x + b
m = -1/2, b = 2
0 = - 1/2 ( 0 )+ 2
0 ≠ 2 ( it does not pass through the origin )
- 2 ≠ 2
Therefore, the True statements are:
The graph is a straight line.
The line does not pass through the origin.
The y-intercept of the line is 2.
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[tex]10 \sqrt{3} - 4 \sqrt{48} - \sqrt{75} [/tex]
10v3-4v48-v75 help pld
The most appropriate choice for surds will be given by-
[tex]-11\sqrt{3}[/tex] is the correct answer.
What are surds?
There are some natural numbers which are not perfect squares. Their square root are not natural numbers. Those numbers are called surds. The most important method for simplification of surds is prime factorization.
[tex]10\sqrt{3} - 4 \sqrt{48}-\sqrt{75}\\10\sqrt{3} - 4\sqrt{2\times2\times 2\times 2\times3}-\sqrt{3\times 5\times5}\\10\sqrt{3} - 4\times 2\times 2\sqrt{3} - 5\sqrt{3}\\10\sqrt{3} - 16\sqrt{3}-5\sqrt{3}\\-6\sqrt{3} - 5\sqrt{3}\\-11\sqrt{3}[/tex]
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Went to start the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 is Gwen correct explain why or why not
The sum of -1 (3/4) and 2 (1/2) is the same as the difference between 2 (1/2) and 1 (3/4).
Firstly, we will convert the mixed fractions into improper fractions.
-1 and 3/4 = -7/4
2 and 1/2 = 5/2
Addition of -1 (3/4) and 2 (1/2) = -7/4 + 5/2 = -7/4 + 10/4 = 3/4
Difference between 2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4
As both the values equal to 3/4 , we can say that the addition of -1 and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.
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will mark branliest
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
circle formula:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Given:
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
put into circle formal format:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]
The center of the circle is at point (h,k)
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
center should be at: (1,-3)
Answer:
lower row, left grid.
Answer:
Lower left, bottm, circle
Step-by-step explanation:
See attached graph
PLEASE HELP ASAP GIVING 20
Answer:
I agree with your answer.
Step-by-step explanation:
HELP MEEEEEEEEEEEEEE
Answer:
(2,-3)
Step-by-step explanation:
[tex]\frac{\left(y+3\right)^2}{9}-\frac{\left(x-2\right)^2}{2}=1\\\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}=1\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}\\\frac{\left(y-\left(-3\right)\right)^2}{3^2}-\frac{\left(x-2\right)^2}{\left(\sqrt{2}\right)^2} =1\\(2,-3)[/tex]
How many vertices does a triangle prima have?
A triangle prima has six vertices. A triangular prism has five faces, three rectangular and two triangular, nine vertices, and six edges.
What is triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points determine a unique triangle and, by stretching, a unique aircraft. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The sum of the triangle's three angles equals 180 degrees. You've seen that a triangle is a simple closed curve made up of three line segments. It is made up of three vertices, three sides, and three angles.To learn more about triangle, refer to:
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Find the missing length of the triangle. 6.5 mm 2.5 mm b The missing length is millimeters.
In order to determine the value of the missing length b, use the Pithagorean theorem, given by:
h² = a² + b²
where:
h = 6.5 mm
a = 2.5 mm
solve the previous equation for b, as follow:
b = √(h² - a²)
b = √(6.5² - 2.5²)mm
b = √36 mm
b = 6 mm
Hence, the value of the missing length is 6 mm
