Hello there!
In order to solve this inequality, we should first use the distributive property:-
3(a-4)≥4(a+5)
3a-12≥4a+20
Now, add 12 to both sides:-
3a≥4a+32
Subtract 4a from both sides:-
3a-4a≥32
-a≥32
Divide both sides by -1:-
a≤-32
The inequality sign changed because we divided both sides by a negative number.
[tex]\mathcal{NOTE:-}[/tex]
I hope everything is clear; however, if you need any explanation or clarification, don't hesitate to let me know, and I will comment or edit my answer. Good luck and have a great rest of your day! :)
What is the surface area?
15 cm
12 cm
15 cm
18 cm
21 cm
Triangular Prism
Answer:
949
Step-by-step explanation:
just take ahalf times base times height then multiply by 4 to get the two sides then multiply the base rectangle then multiply the side rectangle and multiply ut by two and add to get the answer
Solve the following: A)4x-1/2=x+7
B)3x+2=2x+13/3
(Please help)
Answer:
A) x = 2.5
B) x = 7/3
Step-by-step explanation:
A) 4x - 1/2 = x + 7
4x - x = 7 + 1/2
3x = 7.5
x = 7.5/3
x = 2.5
B) 3x + 2 = 2x + 13/3
x +2 = 13/3
x = 13/3 - 6/3
x = 7/3
I hope this helps!
answer this easy please help
Answer:
1320
Step-by-step explanation:
The sample ad 600 chips. They wanted to test 36000 chips. 600*60=36000
If 22 out of 600 chips were defective, and 600*60=36000
Then 1320 chips were defective out of the 36000 because 22*60=1320.
the lengths of two sides of a triangle are 10 and 24. the third side is x how many whole number possible for x
Answer:
19
Step-by-step explanation:
The triangle inequality tells you the possible values of x are ...
24 -10 < x < 24 +10
14 < x < 34
There are 19 integer values of x in this range.
What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)
Answer:
7
Step-by-step explanation:
Given expression:
6x³y + 8x² + 5x + 7The constant is a term that has no variables. Let's verify the terms in the expression to determine which term is the constant.
Determining if 6x³y is a constant:
This term is not a constant because the term includes two variables (x and y).Determining if 8x² is a constant:
This term is not a constant because the term includes a variable (x).Determining if 5x is a constant:
This term is not a constant because the term includes a variable (x).Determining if 7 is a constant:
This term is a constant because the term has no variables.Learn more about constants: https://brainly.com/question/11977365
Answer:
7
Step-by-step explanation:
The constant term in an expression is the term without a variable.
The variables in this expression are x and y, so the constant term is 7 as this term does not have a variable.
Find the equation of the line that
is perpendicular to y = 4x + 5 and
contains the point (8,-4).
The equation of the line that is perpendicular to y = 4x + 5, in slope-intercept form is: y = -1/4x - 2.
What is the Equation of Perpendicular Lines?Lines that are perpendicular to each other have slope that are negative reciprocal to each other.
Slope of y = 4x + 5 is 4.
Negative reciprocal of 4 is -1/4.
Substitute m = -1/4 and (a, b) = (8, -4) into y - b = m(x - a):
y - (-4) = -1/4(x - 8)
y + 4 = -1/4x + 2
y = -1/4x + 2 - 4
y = -1/4x - 2
Equation of the perpendicular line is: y = -1/4x - 2.
Learn more about equation of perpendicular lines on:
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Make y the subject
z+2 = 2/1-y
A fruit seller sells 41 watermelons on Thursday and 59 watermelons on Friday. The cost
of each watermelon is ₹99. Find the total amount earned by the fruit seller.
Answer:
₹9900
Explanation:
On thursday sold : 41 watermelonsOn friday sold : 59 watermelonsTotal sold : (41 + 59) = 100 watermelons
Amount earned : 100 * 99 = ₹9900
#Thursday
Melons sold=41Money earned=41(99)
4059$#Friday
Melons sold=59Money earned
59(99)5841Total:-
5841+4059=$9900
im stuck lol i just need a answer
Answer:
131 here is the answer and your welcome
=
2) Solve the system 2x + 5y = 7 and 3x + 4y = 6 by elimination. Which
procedure produces opposite terms to eliminate x? Include proper
justification
Explain step by step
Answer:
I'd times the first equation by 3 and the second equation by 2. Giving:
6x + 15y = 21
6x + 8y = 12
then I'd subtract the second from the first
6x-6x + 15y-8y = 21-12
7y = 9
y = 7/9
then sub y into one of the equations and solve for x.
Answer:
Step-by-step explanation:
Solving simultanius equation by elimination
2x + 5y = 7 -------------(I)
3x + 4y = 6 ---------------(II)
To eliminate x, multiply equation (I) by (-3) and equation (II) by 2. Then add the two equations. Now, 'x' will be eliminated and we can find the value of 'y'.
(I) *(-3) -6x - 15y = -21
(II)*2 6x + 8y = 12 {Now add}
- 7y = -9
y = -9/-7
y = 9/7
PLS HELP - FREE BRAINLIEST: Suppose 4 < a < 5 and 2 < b < 4. Find all possible values of each expression.
The expression indicated that the values of a will be between 4.01 and 4.99 and b will be between 2.01 and 3.99.
How to calculate the expression?From the first expression, 4 < a < 5. This means that 4 is less than a and a is less than 5. This means the values of a will be between 4.01 and 4.99.
Also, 2 < b < 4. This means that 2 is less than b and b is less than 4. Therefore, the values of b will be between 2.01 and 3.99.
Learn more about expression on:
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Answer:
The answer to a is 4.5, and the answer to b is 3.
Step-by-step explanation:
The averages are found as shown:
4+5=9
9/2=4.5
2+4=6
6/2=3
To find averages, first add all of the certain amount of numbers shown, then divide it all by the same amount of numbers there are.
Example:
5+7+9=21
21/3=7
(1 + 1/x)^x = 1.0825
find the value of x.
Answer: about 0.0202161
Step-by-step explanation:
This is a transcendental equation, so graph the two equations and find the x coordinate where they intersect.
On Saturday, 73 people went to the two o’clock movie at the theater. Each person paid $4.00. How much money did the theater collect in all?
Answer:
$292.00
Step-by-step explanation:
Total amount collected= number of people×amount per each person
total amount= 73×$4.00
Total amount collected=$292.00
Answer:
$292
Step-by-step explanation:
its really easy, you just multiply 73 to 4
A line passes through the point (-1,-5) and has a slope of -5.
Write an equation in slope-intercept form for this line.
We're given a point that the line intersects and its slope.
Let's use Point-slope:-
[tex]\boxed{y-y1=m(x-x1)}[/tex]
y1 = -5
m=-5
x1=-1
[tex]\boxed{y-(-5)=-5(x-(-1)}[/tex]
[tex]\boxed{y+5=-5(x+1)}[/tex]
Convert to slope-intercept:-
[tex]\boxed{y+5=-5x-5}[/tex]
[tex]\boxed{y=-5x-5-5}[/tex]
Finally,
[tex]\bigstar{\boxed{\pmb{y=-5x-10}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
- You work in the human resources department of a
company. Per the employee benefits package, each
employee earns 1 and 1/2 vacation days per month. You
need to calculate the total number of vacation days
that an employee earns in a year. How many total
vacation days will an employee earn in a year?
Answer:
18 Days Off
Step-by-step explanation:
Firstly, to solve this question you have to identify how many months are in a year; that's 12. So now we know:
Each employee can take 1 1/2 days off in a monthThere are 12 months in a yearMaking a formula for calculation is the best way to do this, especially since we now have all of the information needed to answer.
VacationDays=1 [tex]\frac{1}{2}[/tex] × 12
Vacation days are the total number of vacation days in a year.
∴VD= 1 [tex]\frac{1}{2}[/tex] x 12
VD= 18
∴Total vacation days equal 18
Each employee gets 18 vacation days in a year.
The school cafeteria sells several types of pies at lunch. Last week it sold 12 apple pies, 19 pumpkin pies, and 30 blueberry pies.Which of the following would increase the range of the total number of pies sold?
a) Sell 2 fewer apple pies b) Sell 2 more pumpkin pies
c) Sell 2 fewer blueberry pies d) Sell 2 more apple pies
Answer:
d)sell 2 more apple pies
Step-by-step explanation:
increasing 12 apple pies sold to 14 sold would increase the range.
Karina gets a 3% interest rate per year for her savings account. She has $8,500 in her savings account. How much money does she have in her account after 1 year?
Answer:8755
Step-by-step explanation:100%+3%=103% in decimal form 1.03
8500x1.03=8755
What pair of factors of -28 has a sum of -3
Answer:
4 and -7
Step-by-step explanation:
Factors of -28: - 1, 1, - 2, 2, -4,4 ,-7,7,-14,14,-28,28
Factors with a sum of -3 = 4 and -7.
What is the probability that the spinner will land on the number 1?
Answer:
30% or 4/12
Step-by-step explanation:
Answer:
33.333...% (2/3)
Step-by-step explanation:
the number 1 makes up one third of the numbers on the spinner.
O is the center of the regular octagon below. Find its area. Round to the nearest tenth
if necessary.
The following solution is arrived at by using the formula for the area of a regular octagon in relation to its Apotem which in this case is 18. Hence the area of the Octagon given is 1,446.
What is an Apothem?An apothem is defined as a line from the center of a regular polygon at right angles to any of its sides.
What is the area of a Regular Octagon?The calculation for this shape using only it's apothem has some curved bends. In order to derive the area, we have to divide the octagon into triangles.
When we find the area of the triangles we can then multiply by the total number to get the area of the Octagon.
Hence we can say that the area of the Octagon (A) = (1/2b*h)n
Where b = base
h = height
n = number of triangles.
Recall that the total angle in a circle is 360°, hence given that all the triangles are equal, we must divide 360° by 8 triangles to get the angle in the vertex of each triangle.
Thus, 360°/8 = 45°
So we have The angle of our triangle which is opposite the base.
Recall that the triangle is split in two so that each of the triangles are right-angled triangle,
Hence, the angle opposite the base for each right angle triangle is given as:
45°/2 = 22.5°
So to get the length of the opposite side (x), we use the law of tangents:
Which means:
x = 18 Tan 22.5°
= 18 * 0.55785173935
≈ 10.04
So if x is ≈ 10.04, then area of that triangle is
= 1/2 * 10.04 * 18 (that is 1/2bh)
= 90.3792
From the above, we can state that the Area of the triangle with the Apothem is
= 90.3792 * 2
= 180.74
Recall our formula for finding the area of the octagon:
A = (1/2bh)n
A = (108.74) *8
A = 1,445.95
≈ 1,446
Learn more about Areas of Octagons at:
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For a 12-month period, the numbers of inches of snow per month in Chicago
were:
11, 10, 6, 1,0,0,0,0,0, 1, 2, 9
What is the range of the data values?
O A. 6.
B. 1
C. 11
D. 10
Answer:
C. 11
Step-by-step explanation:
Calculating range is subtracting the highest data value(11) from the lowest data value(0)
11 - 0 = 11
Consider f(x) = -(c+7)^2 + 4. Which of the following are true for f(x)? Check all that apply. Answer choices: the equation is a quadratic. The graph is linear. the vertex is (7,4). The axis of symmetry is x= -7. The y-intercept is (0,4). The graph has a relative maximum. The equation has no real solutions.
The answers are presented below:
The equation is a quadratic - TRUEThe graph is linear. the vertex is (7,4) - FALSEThe axis of symmetry is x= -7 - TRUEThe y-intercept is (0,4) - FALSE The graph has a relative maximum. - TRUEThe equation has no real solutions. - FALSEQuadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
The vertex of an up-down facing parabola of the form ax²+bx+c is [tex]x_v=\frac{-b}{2a}[/tex] . Knowing the x-coordinate of vertex, you can find the y-coordinate of vertex. When a vertical line passes through the vertex of the parabola, it is called the axis of symmetry.
The y-intercept is the point where the function crosses the y-axis. And, the x-intercept is the point where the function crosses the x-axis, in other words, when y=0.
First, you should convert the given equation to Standard form.
f(x) = -(c+7)² + 4
f(x)= - (c²+14c+49)+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-45
After that, you should check each option of the question.
The equation is a quadraticCorrect because present a degree 2 -- f(x)= -c²-14c-45
The graph is linearIncorrect because it is a quadratic function and this function is represented by a parabola.
The vertex is (7,4)The coefficients are: a=-1, b=-14, c=-45. Therefore,
[tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
Incorrect because x-coordinate of vertex is -7
The axis of symmetry is x= -7.Correct because [tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
The y-intercept is (0,4)You can find the y-intercept using c=0, then f(x)= -c²-14c-45 will be:
f(x)=-45.
Incorrect because the y-intercept is (0,-45).
The graph has a relative maximum.The coefficient a of a quadratic function is negative, thus the function has a point maximum. A relative maximum point is defined as the point where the function changes your direction. In other words, the values of the function increase before the relative maximum and the values decrease after the relative maximum.
Correct, see the attached image.
The equation has no real solutions.It is possible to find the number of roots or solutions from discriminant.
For quadratic equation the discriminant is determined by D=b²-4ac, where: a, b and c are coefficients.
If D > 0 - the function will have two real solutions;
If D = 0 - the function will have one real solution;
If D < 0 - the function will have imaginary solutions;
For given equation, the coefficients are: a=-1, b=-14, c=-45. Thus, D=(-14)²-4*(-1)*(-45)
D=196-180=16
D=16 thus D > 0
Incorrect because the D>0.
Read more about the quadratic function here:
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please could you give this answer quickly .
Answer:
The answer of this question is 11.3
10-20. 20-30. 30-40. 40-50. 50-60
5. 4. 5. 4. 2. N=20
5. 9. 14. 18. 20
M.D= (N/2)
20/2
10th item
(30-40)
Again,
L=30,
I=10
f=5
cf=9
n/2=10
L+(n/2)*I/f
Rewrite the equation below in standard form y= -1/3x +5
Answer:
x+3y=15
idrk how to explain but thats the answer
find the area of a rectangle that measures 2 2/3 in. by 36 1/2 in.
Answer:
97 1/3 or 97.3333
Step-by-step explanation:
multiply 2 2/3 by 36 1/2
:)
Simplify
chapter name:rationalization of surds
[tex] \frac{ \sqrt{6} }{ \sqrt{2} \times \sqrt{2} } [/tex]
[tex] \frac{ \sqrt{6} }{2 \sqrt{2}} [/tex]
[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ
Answer:
Step-by-step explanation:
Math question correctly answer with good explanation. Please and thank you
Answer:
Step-by-step explanation:
===========================================================
Explanation:
The figure is an unfolded version of a pyramid, so it's placed as flat as possible.
The square in the middle has area of 7*7 = 49 square meters. This is the base or floor of the pyramid.
Each triangle has area of base*height/2 = 7*5/2 = 35/2 = 17.5 square meters. Four such identical triangles combine to an area of 4*17.5 = 70 square meters. This is the lateral surface area, which is everything but the base.
So the total surface area is
BaseArea + LateralSurfaceArea = 49+70 = 119 square meters
Help pls use π = 3.14 and round your answer to the nearest hundredth
The volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.
What is the Volume of a Sphere?Volume of a sphere, where r is the radius of the sphere, is determined using the formula, V = 4/3 × π × r³.
Given the radius of the sphere is 4 feet
Volume of the sphere = 4/3 × π × r³ = 4/3 × 3.14 × 4³
Volume of the sphere = 268.08 ft³
Therefore, the volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.
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What is the quotient?
690/16
A.
B.
C.
D.
43 is the quotient
=======
[tex]\rightarrow \sf \dfrac{690}{16}[/tex]
[tex]\rightarrow \sf 43\dfrac{2}{16}[/tex]
=========
In a mixed fraction like: [tex]\sf a \dfrac{b}{c}[/tex]
a = quotientb = remainderc = divisorAnswer:
43
Step-by-step explanation:
To find the quotient of 690/16, the first step is to simplify the expression so that it would be easier to simplify.
[tex]\rightarrowtail \dfrac{690}{16} = \dfrac{345}{8}[/tex]
Now, let's simplify the expresssion using long division.
(Refer to image attached)
According to the image, we can tell that quotient is 43. Keep in mind that the quotient is the number obtained at the top.
Write the equation of the line, in general form, that has a slope of 3 and a y-intercept of -5.
Answer:
y = 3x - 5
Step-by-step explanation:
To find the equation of the line, you can use y = m x + c.
Here,
m ⇒ slope
c ⇒ y-intercept
Given that,
slope = 3
y-intercept = -5
So, to find the equation of the line you have to simply replace m and c in the formula, (y = m x + c )with the given slope and y-intercept.
Let us solve it now.
y = m x + c
y = 3x - 5
Answer:
y = 3x - 5
Step-by-step explanation:
Slope-intercept form of an equation
y = mx + bm = slopeb = y-interceptGiven that m = 3 and b = -5
y = 3x - 5