The solution of the inequality 2b + 5 ≤ 30 is b ≤ 12.5
What are inequalities?Inequalities refers to some type of equations where the relationship between the left hand side and the right hand side of an equation is expressed in terms of symbols other than equal to
The symbols include
less thangreater thanless than or equal to greater than or equal toIn the problem given the symbol used is less than or equal to and the equation is solved by
2b + 5 ≤ 30
2b + 5 - 5 ≤ 30 - 5
2b ≤ 25
dividing through by 2
2b / 2 ≤ 30 / 2
b ≤ 12.5
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would you break a ten or a hundred when you subtract 282-47
I would break a ten when I subtract 282-47.
What is a ten?
This is the number after nine. it is a two-digit number. it is written as 10.
What is a hundred?
It is a number after 99. It is a three-digit number. It is written as 100.
What is subtraction?
This simply means taking away a number from another. its mathematical symbol is ( - ).
To subtract 282-47;
282
- 47
= 235
we need to break a ten i.e ( eight- tens) to get a ten to add to two making it 12. then subtract (12 -7) = 5.
7 is now remaining in the tens column i.e( seven- tens). Then subtract (7-4) =3.
Then bring down the two in the hundreds column.
Therefore, 282-47 =235
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mikayla lives 4 miles north and 6 miles west of the pizzeria. will the pizzeria deliver to her home?
pizzeria will not deliver to mikayla as distance is out of radius.
Coverage location of pizzeria company.According to question, as the reference with the origin of the circle, it can deliver pizzeria in the radius of 6 miles
According to given data:mikayla lives 4 miles north and 6 miles west,
So, distance of mikayla from company,
By using Pythagoras theorem
Distance = √(4)^2 + (6)^2 = √52 miles
As distance is greater than radius, pizzeria will not deliver to mikayla.
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- Lyra was trying to determine the slope ratio for the triangle at right, and she
says the answer is 2.675. Isiah claims that cannot be correct. Who is
right? How do you know?
Answer:
Isiah is correct. The slope is about 0.344.
Step-by-step explanation:
Lyra and Isiah want the slope of the hypotenuse in a triangle with an angle of elevation of 19°.
SlopeThe slope is the ratio of "rise" to "run". In a right triangle, that is the ratio "opposite"/"adjacent". This ratio is the tangent of the angle of elevation.
tan(19°) ≈ 0.344
The slope is about 0.344. Isiah is correct.
Isiah knows Lyra is not correct because the slope in a triangle with a 45° angle is 1. Lyra' value of 2.675 is about right for an angle of 69.5°, much greater than either 45° or the given angle of 19°.
__
Additional comment
Unfortunately, the diagram is not drawn to scale. This is often the case with diagrams in geometry problems. The diagram here is misleading in that it seems to show a slope greater than 1 for a 19° angle.
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The solution of the quadratic equation will be;
⇒ x = - 1 ± √5 / 8
⇒ x = –1 Plus or minus Start Root Start Fraction 5 Over 8 End Fraction End Root.
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The quadratic equation is,
⇒ 8x² + 16x + 3 = 0
Now,
Solve the equation as;
⇒ 8x² + 16x + 3 = 0
⇒ 8x² + 16x = - 3
⇒ 8 (x² + 2x) = - 3
Now, Using completing the square as;
⇒ 8 (x² + 2x + 1) = - 3 + 8
⇒ 8 (x + 1)² = 5
⇒ (x + 1)² = 5 / 8
⇒ (x + 1) = ±√5 / 8
⇒ x = ±√5/8 - 1
⇒ x = - 1 ± √5/8
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On September 16th you bought 2,500 shares of the stock you have chosen to follow this year,
along with 1,100 shares of Home Depot, 3,500 shares of Ford, and 900 shares of JetBlue.
Create a stock ticker to represent these trades.
The stock markets utilize "Ticker Symbols," which are distinctive one- to five-letter codes, to uniquely identify companies.Because stock quotes used to be printed on a ticker tape machine that resembled the images below, it is known as a ticker symbol.
Create a stock ticker to represent these trades ?A tracking stock is unique equity offered and issued by a parent company that tracts the financial performance of a segment of the division.Tracking stocks usually trade in open markets separate from the parent company's stock.An example of tracking stock is:Walt Disney Company's subsidiary which it owns fully named: go.com. The company is also known as The Go Network. The stock symbol is GOT.Its P/E Ratio is 11.38XI chose this stock because its parent company has a very strong brand and great leadership.Price/Earnings Ratio is used for establishing the value of a company. It measures the current share price against it's earnings per share (EPS).To learn more about stock ticker refer
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Which one of the following is NOT equivalent to 3/4? 16/24 15/20 6/8 24/32 PWEASE HURRY THESE ARE ALL MY POINTS
Which one of the following is NOT equivalent to 3/4?
16/24 = 2/3
15/20 = 3/4
6/8 = 2/3
24/32 = 3/4
Answer: 16/24 and 24/32 are not equivalent to 3/4
Step-by-step explanation:
Equivalent fractions represent the same value, even though they look different.
Here, when we convert every fraction to its simplest form, we can verify if they are equal.
(16/24) ÷ (8/8) = 2/3
(15/20) ÷ (5/5) = 3/4
(6/8) ÷ (2/2) = 3/4
(24/32) ÷ (4/4) = 6/7
As the simplest forms of 16/24 and 24/32 are not 3/4, they are not equivalent fractions of 3/4.
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There is a line that includes the point (-1, 1) and has a slope of 9. What is its equation in slope-intercept form?
Answer: would be y=9x+10
Step-by-step explanation: Use the point slope form
pls help me with this
Answer:
31-6/1-1
=25/0
=undefined
Solve each equation for y
A. (y- 10) = -3(x - 2)
B. (y-2) = 3(x+1)
C. (y-2 = 1/3(x-3)
Will do brainliest! 100%
Answer:
A. [tex]y=-3x+16[/tex]
B. [tex]y=3x+5[/tex]
C. [tex]y=\frac{1}{3}x+1[/tex]
Step-by-step explanation:
A.
[tex]y-10=-3(x-2)[/tex]
[tex]y-10=-3x+6[/tex]
[tex]y=-3x+16[/tex]
B.
[tex]y-2=3(x+1)[/tex]
[tex]y-2=3x+3[/tex]
[tex]y=3x+5[/tex]
C.
[tex]y-2=\frac{1}{3}(x-3)[/tex]
[tex]y-2=\frac{1}{3}x-1[/tex]
[tex]y=\frac{1}{3}x+1[/tex]
a rectangular storage area is to be constructed along a side of a building. a security fence is required along the remaining three sides of the area. what is the maximum area that can be enclosed with 703 ft of fencing?
The largest area that may be surrounded by fencing is 61776.13 m².
A building's side will have a rectangular storage room built into it. The remaining three corners of the space need security fencing.
The maximum area is enclosed within 703ft of fencing.
Let x = width
L = length
The perimeter with 3 sides;
L + 2x = 703
L = (703 - 2x)
Let, Area = x * L
Now, replace L with (703 - 2x);
A = x * (703 - 2x)
A = 703x - 2x²
To get the max area by finding the axis of symmetry;
x = -b/2a
In this equation a = -2; b = 703
x = -703 / (2*-2)
x = 175.75m, ( width for the max area )
To get the max area, x=175.75;
A = -2(175.75²) + 703(175.75)
A = -61776.12 + 123552.25
A = 61776.13 m² is a max area
Hence, The maximum area that can be enclosed with 703ft of fencing is 61776.13 m².
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Evaluate Each expression show your work
1. Evaluate 3 + 4x if x = 5
Answer:
23
Step-by-step explanation:
3+4x
3+4(5)
3+20
23
Hopes this helps please mark brainliest
Could someone help me out, please?
Answer:
For x = -2, y would equal -3.
For x = -1, y would equal -2.
For x = 0, y would equal -1.
For x = 1, y would equal 0.
For x = 2, y would equal 1.
Step-by-step explanation:
So what we have to do is plug in the x-values from the table into the equation.
1) y = -2 -1 => y = -3
2) y = -1 - 1 => y = -2
3) y = 0 - 1 => y = -1
4) y = 1 - 1 => y = 0
5) y = 2 - 1 => y = 1
a high school theater club has 40 student, 6 of whom are left handed. two student will be selected at random, one at a time without replacement. what is the pobability that the 2 student selected will both be left-handed/
1.92% is the probability .
Describe probability using an example?
By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. The most basic illustration is a coin toss. There are only two outcomes that can occur when you flip a coin: either heads or tails.The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
P = x/y
Find out the probability that the first student selected will be left-handed
we have
x = 6
y = 40
substitute
P = 6/40
Simplify
P = 3/20
the probability that the second student selected will be left-handed
we have
x = 6 - 1 = 4
y = 40 -1 = 39
substitute
P = 5/39
the probability that the 2 students selected will both be left-handed
Multiply the probabilities
P = 3/20(5/39) = 15/780
Convert to percentage
Multiply by 100
15/780 * 100 = 1.92%
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1. (2ab^5)^4/ab^3
2. (x^3y^5/ab^7)^2
3. 5mn^7-1
ANSWER :
[tex] \rm{1.)16a {}^{3}b {}^{17} }[/tex]
= (2ab^5)^4
= 2ab^5×2ab^5×2ab^5×2ab^5
= 16a^4b^9
= 16a^4b^9/ab^3
= 16a^3b^17
[tex] \rm2.) \frac{x {}^{6} y {}^{10} }{a {}^{2}b {}^{14} } [/tex]
= (x^3y^5)^2
= (x^6y^10)
= (ab^7)^2
= (ab^14)
= (x^6y^10)/ab^14
[tex] \rm3.)4mn {}^{7} [/tex]
= 5mn^7 - 1
= 4mn^7
the local theater has three types of seats for broadway plays: main floor, balcony, and mezzanine. main floor tickets are $60, balcony tickets are $42, and mezzanine tickets are $40. one particular night, sales totaled $107,588. there were 152 more main floor tickets sold than balcony and mezzanine tickets combined. the number of balcony tickets sold is 432 more than 3 times the number of mezzanine tickets sold. how many of each type of ticket were sold?
z = 134 (number of mezzanine units sold)
b = 834 (number of balconies sold)
m = 1120 (number of main floor sales)
Equations:
60m + 42b + 40z = 107,588
m = b + z + 152
b = 3z + 432
Substitute for "b" to get m = 4z + 584
------
Substitute for m and b and solve for "z"::
60(4z+584) + 42(3z+432) + 40z = 107588
240z + 35040 + 126z + 18144 + 40z = 107588
406z + 53184 = 107588
406z = 54404
z = 134 (# of mezzanine sold)
Solve for "b" and for "m" using z = 134
b = 3(134) + 432
b = 834 (# of balcony sold)
m = 834 + 134 + 152
m = 1120 (# of main floor sold)
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2x+2y=-22
5x +6y = -63
Answer:
Step-by-step explanation:
Find an equation to represent x or y
2x + 2y = -22
-2y
2x = -22 - 2y
Divide by 2
x = -11 -y
Plug in the found equation
5 (-11 - y) +6y = - 63
- 55 -5y + 6y = - 63
-55 + y = - 63
+55
y = - 8
Plug in the y to find x
2x + 2(- 8) = - 22
2x - 16 = - 22
+ 16
2x = - 6
Divide by 2
x = - 3
Which term is a constant numerical value? I need so much help
1: A is directly proportional to B.
When A = 12, B = 3
Direc
(a) Find a formula for A in terms of B.
(b) Find the value of A when B = 5
(c) Find the value of B when A= 36
Answer:
a)A=4B
b)A=20
c)B=9
If it is directly proportional it means that A=kB.
you can substitute the numbers to find k.
12=k3
k=4
so the formula is A=kB.
For part b and c it is just substitution
In one book, there are 15 lines per page. In another book, there are 90 lines in every 6 pages. Determine whether the ratios of lines to pages are proportional in both books.
The ratios of lines to pages are proportional in both books.
How to calculate the value?From the information, in In one book, there are 15 lines per page.
In another book, there are 90 lines in every 6 pages. Therefore, the number of lines per page will be:
= Number of line / Number of page
= 90 / 6
= 15 lines per page
Therefore since they're the same for both books as we got 15 lines, they're proportional.
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{2x+7y=-20
{x-3y=16
Solve for systems of equations
By solving the linear equations we get the final values of x = 4 & y = 4.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order term are included.
We have,
2x + 7y = -20 ----------(i)
x - 3y = 16 ----------(ii)
By multiplying equation (ii) with 2 we get,
2x + 7y = -20 ---------(III)
2x - 6y = 32 -----------(IV)
taking subtraction of equations (III) and (IV), we get
y = 4
by putting value of y in equation (ii) we get,
x = 4
Hence by solving the linear equations we get the values of x = 4 & y = 4.
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PC=3x+7, can you find PC?
The value of PC is 40 when C is the circumcenter of triangle PQR.
Given that,
Consider the complete question is
C is the circumcenter of triangle PQR.
PC=3x-7
RC=5x-15 &
QC= 51-x
We have find the side PC.
A triangle's vertices are equidistance spaced from its circumcenter.
PC=RC=QC
RC=QC
5x-15= 51-x
5x+x= 51+15
6x=66
x=11
The value of x is 11.
We must determine PC's worth.
Substitute x=11 in the above equation.
PC= 3x+7
PC= 3(11)+7
PC=33+7
PC= 40
Therefore, The value of PC is 40 when C is the circumcenter of triangle PQR.
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What is the difference in average speed between two cars, one that traveled 160
kilometers in 5 hours, and the other that traveled 140 kilometers in the same
amount of time?
(Average speed = total distance + total time)
32 kilometers per hour
28 kilometers per hour
( 4 kilometers per hour
60 kilometers per hour
The difference in average speed between two cars is 4 kilometers per hour . Average speed of cars are 32 kilometers per hour and 28 kilometers per hour. The average speed is the total distance traveled by the object in a particular time interval.
How To calculate average speed ?The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.
Both can be measured and quantified since they are physical quantities. Both phrases refer to moving bodies alone; they do not refer to static bodies.
Average speed of first car = total distance / total time
= 160/ 5 = 32
Average speed of second car = total distance / total time
= 140/ 5 = 28
The difference in average speed between two cars = 32 -28= 4
4 kilometers per hour is the difference
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The quotient of x and 2 is less than or equal to 5.
\Step-by-step explanation:
convert to math form:
[tex]\frac{x}{2} \le5[/tex]
simplify:
[tex]x \le 10[/tex]
convert to word form(optional):
x is less than or equal to 5.
Solve for y.
4y + 5/3=y-10/2
Answer:
y= -20/9
Step-by-step explanation:
4y+5/3=y-5
3y= -(5+5/3)
3y= -20/3
y= -20/9
Answer:
Collect like terms
4y-y=-10/2-5/3
3y=-5-5/3
5-5/3
LCM=3
3/1=3×5=15
3/3=1×5=5
15-5÷3
10/3
3y=10/3÷3
3y=30/3
y=10
Help me with these questions (all of them 1 to 19 )
Answer:
answer for 17 is 5+5+8which is 200 cm
Answer:
1 - 9p
2 - 4y
Step-by-step explanation:
1: 3p+2p+4p Since there all common terms you can just add them together! So it would be 9p!
2: 3y + (-y) + 2y
Lets make this easier to understand.
3y -1y + 2y (I added the one because the y technically is a 1.)
Since they are all like terms because they all have y it is pretty easy to solve now! So it would be 4y!
(WILL DO MORE LATER)
What is the sign of 37 + (-37)?
Answer:
not positive or negative
Step-by-step explanation:
It is 0 but i would say it is positive nor negative :)
0, It not really postive or negative
37 + -37 = 0 =
Neither negative nor positive
:/
please help me out. it’s more as well but here
Answer:
[tex]\sf \dfrac{-1}{2}[/tex]
Step-by-step explanation:
Find the slope:
(-9 , -5) ⇒ x₁ = -9 ; y₁ = -5
(-1 , -9) ⇒ x₂ = -1 ; y₂ = -9
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{-9-[-5]}{-1-[-9]}\\\\\\=\dfrac{-9+5}{-1+9}\\\\\\=\dfrac{-4}{8}\\\\\\=\dfrac{-1}{2}[/tex]
Answer:
Slope = -1/2
Step-by-step explanation:
Formula we use,
→ (y2 - y1)/(x2 - x1)
Now the value of slope is,
→ (-9 -(-5))/(-1 -(-9))
→ (-9 + 5)/(-1 + 9)
→ -4/8 = -1/2
Hence, the slope is -1/2.
Graph the image of rhombus ABCD after a rotation 270° counterclockwise around the origin.
After rotation, the coordinates of the vertex of the rhombus become:
A(-8,-6)B(-3,-6)C(0,-10)D(-5,-10)How to rotate an image 270°?We refer to the process of rotating an object about a fixed point or line as rotation. By rotating an object, we might be able to fit it into a specific location or even learn more relevant details about the current activity. When an object is rotated, it seems as though its shape has changed, but it hasn't.We know , when a point (x,y) rotates 270° counterclockwise about the origin, our point (x,y) becomes (y,-x)
From the graph the coordinates of the vertex of the rhombus are:
A(6,-8)B(6,-3)C(10,0)D(10,-5)Therefore after rotation, the coordinates of the vertex of the rhombus become:
A(-8,-6)B(-3,-6)C(0,-10)D(-5,-10)Learn more about rotation from the given link
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How can 33 over 9 be expressed as a decimal?
Answer:
3.6
................................
There are 16 questions on a test. Karen got 4 wrong. What percent did she get right?