Consider the inequality, 1/2x +1 <4. If I
multiplied both sides by 2, would I need to flip
the inequality from a less than sign to a
greater than sign?
Answers
Step-by-step explanation:
To answer your question, no. Only when you are multiplying/dividing both sides by a negative number.
0.5x + 1 < 4
0.5x < 3
x < 6.
Related Questions
If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A U B) = _____.
SHOW ALL WORK
Answers
Answer:0.48
Step-by-step equation:
How much weight does the women in the video lose in a year? 80 pounds 90 pounds 50 pounds 20 pounds
Answers
Medical practitioners recommend losing around 365 pounds or 730 pounds per year.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Medical practitioners recommend losing around 1–2 pounds (0.5–0.9 kg) per week.
Hence for a year:
Amount of weight loss = (1 * 365) or (2 * 365)
Medical practitioners recommend losing around 365 pounds or 730 pounds per year.
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Name all chords that are drawn in Circle C
Answers
The name of all the chords that are drawn in Circle C are; SU, UV and TW.
How to Identify Circle Chords?The chord of a circle is a term that is defined as the line segment joining any two points on the circumference of the circle.
Looking at the image and comparing with the definition of chords above, we can say that the chords will be SU, UV and TW. This is because they join two points on the circumference of the given circle with center C
We further see that the segment CV is only the radius of the circle.
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Kristine wants to do hardwood flooring for her room. A floor plan of the room (in feet) is shown. How much hardwood flooring does she need?
Answers
Kristine would require at least 116ft of hardwood flooring for her room.
The answer is arrived at by using simple calculations of the area of a square - a polygon.
How do we arrive at the answer above?Note that there are missing portions on the shape of the floor. (See a more elaborate version attached).
The side labeled F = 12ft
The side labeled CDE comprises three sides: 8, 2, and 2 respectively. This is also equal to 12.
With this information, we can calculate the area of the square assuming it was full.
The area of a square is given as:
Length x Breadth or L²;
that gives us: 12 x 12 or 12² = 144ft.
Now we get the total actual area by removing the areas of the missing segments.
Section Ax and Ay is also a square. because the length and the breadth are equal.
hence the area of AxAy = 16ft.
We also have the area of the section labeled D,Dx. This section is a rectangle. The formula for the area of a rectangle is:
Length x Breadth.
Hence, we have
6 x 2 = 12ft.
Total area of missing sections are:
12 + 16 = 28ft.
The total area of the square less the missing areas is:
144 - 28 = 116ft.
Hence the total amount of Hardwood that Kristine would require in square ft is 116ft.
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ASAP. Please help me.
Answers
Find a right triangle
Answers
Answer:
10
Step-by-step explanation:
its a tripple: 3,4,5 (except everything is multiplied by 2)
no need to thank me, just mark me brainliest plz ;)
Step-by-step explanation:
hyp² = opp²/adj²
\(x {}^{2} = 6 {}^{2} + 8 {}^{2} \\ x { }^{2} = 36 + 64 \\ x {}^{2} = 100 \\ x = \sqrt{100 } \\ x = 10\)
Use the virtual models to solve 5/8 x 3
Answers
Answer:
5/8 x 3 = 15/8. If it needs to colour up then you to colour 15 of them.
"18 less than the quotient of a number and -5 is at most -2"
Answers
Answer:
so......... what's the question?
Step-by-step explanation:
please help this due at 3:00
x + y - 58 if x =9 and y = 3
Answers
Answer:
-46 :)
Step-by-step explanation:
9+3-58=-46
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\(9 + 3 - 58 = - 58 + 12 = - 46 \\ \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Part 3. Identify the X intercepts for
y = (x+4)^2-9
Answers
Answer:
x = -1 or x = -7
Step-by-step explanation:
y = (x + 4)^2 - 9
To find x-intercept, set y = 0
=> (x + 4)^2 - 9 = 0
=> ( x + 1)( x + 7) = 0
=> x = -1 or x = -7
To find the x intercepts, plug in y = 0 and solve for x
y = (x+4)^2 - 9
0 = (x+4)^2 - 9 ... replace y with 0
9 = (x+4)^2
(x+4)^2 = 9
x+4 = plus/minus sqrt(9)
x+4 = sqrt(9) or x+4 = -sqrt(9)
x+4 = 3 or x+4 = -3
x = 3-4 or x = -3-4
x = -1 or x = -7 You have the correct answers. Nice work.-----------------------------------------------------------------
Checking each answer:
Plug x = -1 into the original equation. You should get y = 0 as a result
y = (x+4)^2 - 9
y = (-1+4)^2 - 9
y = (3)^2 - 9
y = 9-9
y = 0 .... so this confirms x = -1 as a solution
The same should apply for the other potential solution x = -7
y = (x+4)^2 - 9
y = (-7+4)^2 - 9
y = (-3)^2 - 9
y = 9-9
y = 0 .... this confirms x = -7 as well
The product of three and a number is thirty
Answers
Answer:
10
Step-by-step explanation:
3 times 10 equals 30
Explaination:
3x=30
3•10=30
X=10
Write an expression to show how much it costs per week to keep the 8 adults x where the number of pounds one adults in a day. Simplify your expression
Answers
Answer:
y = 56xStep-by-step explanation:
Given the amount to keep one adult in a day to be x
Since 7 days = 1 week
Amount it will take to keep one adult for a week will be 7x
one adult = 7x pounds
To get the expression that show how much it costs per week to keep the 8 adults, we will say;
8 adults = y pounds
where y is the required amount
Solving both expressions
one adult = 7x pounds
8 adults = y pounds
Cross multiply
1 * y = 7x * 8
y = 56x
Hence the required expression is y = 56x
Select the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.
Answers
The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.
Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.
However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.
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What value of will make the triangles similar by the similarity theorem?
Answers
As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.
Similarity theorem:
In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Given,
Here we need to find the t value of will make the triangles similar by the similarity theorem.
For example, we are told that the 2 triangles are similar by SSS theorem.
Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Therefore, in the triangles ,applying the SSS postulate gives;
=> x/35 = 44/20
Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;
=> x = (44 * 35)/20
When we simplify this one then we get,
=> x = 77
Therefore, the value of x is 77.
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Square the binomial (r+s). what is the result?
a) r^2+s^2
b) r^2+2rs+s^2
c) 2r+2s
d) r^2+rs+s^2
Answers
Answer:
answer is b)
\( {(r + s)}^{2} = {r}^{2} + 2rs + {s}^{2} \)
Name a positive angle between 0 radians and 2π radians that is coterminal with an angle in standard position whose measure is −3π2 radians.
Answers
Answer:
The positive angle between \(0\) and \(2\pi\) radians that is coterminal with \(\theta = -\frac{3\pi}{2}\,rad\) is \(\theta = \frac{\pi}{2}\,rad\).
Step-by-step explanation:
GIven that the measure of the known angle is \(-\frac{3\pi}{2}\) radians and that such angle belongs to a set of angles in terms of revolutions (with a period of \(2\pi\)) done either clockwise or counterclockwise, we can represent the family of coterminal angles with the following expression:
\(\theta = -\frac{3\pi}{2}\pm (2\pi\cdot i)\), for \(i \in \mathbb{N}_{O}\) (1)
Where \(i\) is the index of the coterminal angle.
According to the statement, we must name a positive angle between \(0\) and \(2\pi\) radians, which can be found by the sign \(+\) and \(i = 1\). Hence, we find the required angle:
\(\theta = -\frac{3\pi}{2} + 2\pi\)
\(\theta = \frac{\pi}{2}\,rad\)
The positive angle between \(0\) and \(2\pi\) radians that is coterminal with \(\theta = -\frac{3\pi}{2}\,rad\) is \(\theta = \frac{\pi}{2}\,rad\).
Which of the following factors of production is unlikely to be found in a
command economy?
A. Entrepreneurship
B. Land
C. Capital
D. Labor
Answers
Option (A) is correct
What are factors of production?
" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."
What are some examples of entrepreneurship as a factor of production?
An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.
So, option (A) is correct
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Answer: entrepreneurship
Step-by-step explanation:
just took the quiz
Find the perimeter. Help please !
Answers
Answer:
2t + 15
Step-by-step explanation:
you add the expressions
\(perimeter=(t+5)+(t)+(10)=2t+15\)
I hope this help you
Used the given information to determine the probability below round solution with 3 decimal places
Answers
The conditional probability formula is
\(P(B|A)=\frac{P(B\cap A)}{P(A)}\)which gives
\(P(B\cap A)=P(A)\times P(B|A)\)Then, for the first question, we get
\(\begin{gathered} P(A\cap B)=P(B\cap A)=P(A)\times P(B|A) \\ P(A\cap B)=0.46\times0.05 \end{gathered}\)which gives
\(P(A\cap B)=0.023\)Now, for the second question, we know that, for independent events
\(P(A\cap B)=P(A)\times P(B)\)then, we have
\(P(A\cap B)=0.46\times0.28\)which gives
\(P(A\cap B)=0.129\)Now, for question 3, we know that, when the events are dependent and mutually non-exclusive
\(\begin{gathered} P(A\cup B)=P(A)+P(B)-P(A\cap B) \\ P(A\cup B)=P(A)+P(B)-P(A)\times P(B|A) \end{gathered}\)By substituting the given values, we have
\(\begin{gathered} P(A\cup B)=0.46+0.28-(0.46\times0.05) \\ P(A\cup B)=0.74+0.023 \\ P(A\cup B)=0.763 \end{gathered}\)Finally, for the 4th question, we have
\(P(A\cup B)=P(A)+P(B)\)which gives
\(\begin{gathered} P(A\cap B)=0.46+0.28 \\ P(A\cap B)=0.74 \end{gathered}\)In summary, the solutions are:
Question 1:
\(P(A\cap B)=0.46\times0.05=0.023\)Question 2:
\(P(A\cap B)=0.46\times0.28=0.129\)Question 3:
\(P(A\cup B)=0.46+0.28-(0.46\times0.05)=0.763\)Question 4:
\(P(A\cap B)=0.46+0.28=0.74\)donna spent a total of $80 at the grocery store of this amount she spent $64 on fruit what percentage of the total did she spend onf ruit
Answers
Answer:
Donna spent 80% on fruit.
Step-by-step explanation:
First, we know that she spent $64 on fruit. We also know that she spent a total of $80. Then, we take 64/80. This gives us 0.8. Move the decimal two to the right and you have the percentage, 80%.
Question
Lila has $40 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
Answers
Answer:
$40.8
Step-by-step explanation:
Use the formula
n(1+percentage given/100)\(x^{of the given year}\)
PS: the x means nothing just wanted to show you it is an indices
40(1+10/100)^2
40x1.01^2=$40.80
95% of what number is 57
Answers
95% of x = 57
To solve for x, we can divide both sides of the equation by 0.95:
x = (57/0.95) = 60
So 95% of 60 is 57
Therefore the number is 60
Abdoulaye is going to invest in an account paying an interest rate of 5.1%
compounded quarterly. How much would Abdoulaye need to invest, to the nearest
cent, for the value of the account to reach $138,000 in 14 years?
Answers
Answer: 67881.74
Step-by-step explanation:
Given secant of theta is equal to the square root of 6 over 2 comma what is cos?
Answers
The value of cos θ is equal to 1/3 when sec θ= √6/2.
Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.
Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.
In other words, secθ = 1/cosθ
Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.
cosθ = 1/secθ
We are given that secθ= √6/2
We can use this value to find cosθ= 1/secθ
cosθ = 1 / (√6/2)
To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).
cosθ = ((2/√6) / (√6/2) * (2/√6))
cosθ = (2/√6) / 1
cosθ = (2/√6 * √6/√6)
cosθ = 2/6 = 1/3
Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.
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Now let's explore how to use Desmos to help solve questions like the following.
The movie theatre charged $6 for children tickets (x) and $9 for adult tickets (y). The total revenue for Friday night was $1500. How could you type this out as an equation?
Answers
2(x+3)=2x+6 how many solutions dose it have
Answers
Answer:
The right side of the equation is only a different way of writing the left side, so any value of x will solve this equation.
The equation − 2 ( x + 3 ) = − 2 x − 6 does not have any specific solutions for the simple reason that the left and rigth sides are two representations of the same equation.
We have − 2 ( x + 3 ) means that each term inside the parenthesis should be multiplied with − 2 , i.e.
− 2 ( x + 3 ) = − 2 ⋅ x − 2 ⋅ ( + 3 ) = − 2 x − 6
Which is exactly what the right side says.
Any value of x will, therefore, fulfill this equation.
Is (–39, 42) a solution to the equation y = x + 81?
Answers
Answer:
Yes
Step-by-step explanation:
Yes because if you insert -39 for x and 42 for y then your equation is:
42 = -39 + 81
If you were to solve this equation it would be true.
Mary, Josephine, Quinn, Taylor, Max, and Taylor went out to lunch and the total bill was $72. Mary puts in $20 , and Josephine puts in $12. The rest of the group splits the bill equally. Which equation and solution represent the amount a that each of the remaining people pay?
Answers
Answer:
i. The equation required = \(\frac{remaining amount of the bill}{remaining number of people}\)
ii. Remaining people would pay $10 each.
Step-by-step explanation:
Total number of people involved = 6
Total bill of their lunch = $72
Mary and Josephine paid = $20 + $12
= $32
The remaining bill to be paid = $72 - $32
= $40
The rest of the group = 4
Splitting the remaining bill equally,
the equation required = \(\frac{remaining amount of the bill}{remaining number of people}\)
= ($40) ÷ 4
= $\(\frac{40}{4}\)
= $10
The amount that each of the remaining people would pay is $10.
add 7 with the diffrence of 12 and 9 =
Answers
Answer:
7+3 = 10
Step-by-step explanation:
if I understand the problem strangeness right, and there is nothing missing in it, then this is the simple answer.
the difference of 12 and 9 is 12-9 = 3.
and then adding this 3 to 7 is 7+3 =10
Answer:
10
Step-by-step explanation:
The difference of 12 and 9 is 3.
Now,
If we add 7 to 3, the answer is 10.
What is the third term in the binomial expansion of (3x y3)4? 54x2y3 18x2y3 18x2y6 54x2y6.
Answers
From the simplified form of the expression, the third term on expansion is \(54x^2y^6\)
Given the expression \((3x + y^3)^4\)
For binomial expansion, the power of 3x will be decreasing while y^3 will be increasing.On expansion, the resulting expression will be:
\(=(3x + y^3)^4\\=(3x)^4(y^3)^0 + 4 (3x)^3(y^3)^1 + 6(3x)^2(y^3)^2 + 4(3x)^1(y^3)^3 + (3x)^0(y^3)^4\\\)Simplify the result to have:
\(=81x^4+81x^3y^3+54x^2y^6+12xy^9+y^{12}\)From the simplified form of the expression, the third term on expansion is \(54x^2y^6\)
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Answer:
D
Step-by-step explanation:
D on edge